question stringlengths 9 160 | answer stringlengths 1 30 | category stringclasses 56
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Find the second derivative of -15*d**3*n**2 - 2*d**2*j + 37659*d**2*n**2 + 3*d*j*n**2 + 846*d + 10*j*n**2 wrt d. | -90*d*n**2 - 4*j + 75318*n**2 | calculus__differentiate |
Differentiate 49935*i*t*y - 35*i*t + 102*i*y + 6*i - 2*t*y + 20*y + 3 with respect to t. | 49935*i*y - 35*i - 2*y | calculus__differentiate |
Differentiate -366446*o**3*z**3 - o**3 - 5611326*o - 9*z**2 with respect to z. | -1099338*o**3*z**2 - 18*z | calculus__differentiate |
What is the third derivative of 10556511*y**3*z - 9*y**2*z - 2*y**2 - y + 3*z - 8789 wrt y? | 63339066*z | calculus__differentiate |
What is the first derivative of -8113891*g**3 - 1993828? | -24341673*g**2 | calculus__differentiate |
Find the first derivative of 89920*c**2*f*k*l + 31*c**2*k*l + 3*c**2*k + 22*c*l**3 - 2*c + 12*f*k*l**3 + 3*l wrt f. | 89920*c**2*k*l + 12*k*l**3 | calculus__differentiate |
What is the third derivative of -12318305*u**3 - 11849876*u**2? | -73909830 | calculus__differentiate |
What is the first derivative of 9753545*m - 7939696? | 9753545 | calculus__differentiate |
Differentiate -4*d**3 + 172*d**2 - 4799*d - 11096401 wrt d. | -12*d**2 + 344*d - 4799 | calculus__differentiate |
Differentiate 13460762*h**4 - 10287549 with respect to h. | 53843048*h**3 | calculus__differentiate |
Find the second derivative of 578301*l**2 + 5374083*l wrt l. | 1156602 | calculus__differentiate |
Find the third derivative of -3439*m**5 + 6*m**4 + 15*m**3 - 315*m**2 + 6*m + 658. | -206340*m**2 + 144*m + 90 | calculus__differentiate |
Find the first derivative of -2975702*l**3 + 3*l - 16196831. | -8927106*l**2 + 3 | calculus__differentiate |
What is the third derivative of 3*g*p**3*x**3 + 87871*g*p**3*x**2 + 6*g*p**2*x**3 - 11957*g*x**3 - g*x - p**2*x**2 - 1 wrt p? | 18*g*x**3 + 527226*g*x**2 | calculus__differentiate |
Find the first derivative of -7472188*x - 7069624 wrt x. | -7472188 | calculus__differentiate |
Find the third derivative of -7*q**4 - 402705*q**3 + 4903086*q**2 wrt q. | -168*q - 2416230 | calculus__differentiate |
What is the derivative of -82353*p**4 + 2*p**3 + p**2 - 13353076 wrt p? | -329412*p**3 + 6*p**2 + 2*p | calculus__differentiate |
Differentiate -9409010*u*x + 10709235*x wrt u. | -9409010*x | calculus__differentiate |
Find the first derivative of 4*u**3 + 29836*u + 4055397. | 12*u**2 + 29836 | calculus__differentiate |
What is the derivative of 1248414*s*w**2 - 3*s*w + s + 2*w**2 + 2*w - 554389 wrt s? | 1248414*w**2 - 3*w + 1 | calculus__differentiate |
What is the first derivative of 10756696*b + 9212982? | 10756696 | calculus__differentiate |
Find the third derivative of -14183001*x**5 + 130917*x**2 + 29*x wrt x. | -850980060*x**2 | calculus__differentiate |
Find the third derivative of 4963972*y**4 + 912664*y**2 wrt y. | 119135328*y | calculus__differentiate |
Find the first derivative of -500*t*x**3 + 4237*t*x - 20*t + 222721 wrt x. | -1500*t*x**2 + 4237*t | calculus__differentiate |
Find the first derivative of 4706879*d**2 - 9408234 wrt d. | 9413758*d | calculus__differentiate |
Find the second derivative of 15612594*w**4 - 965*w + 915 wrt w. | 187351128*w**2 | calculus__differentiate |
Find the second derivative of 10644101*u**2 - 4753546*u wrt u. | 21288202 | calculus__differentiate |
Find the third derivative of -k**5 + 602467*k**4 + 18*k**2 - 29051*k - 2. | -60*k**2 + 14459208*k | calculus__differentiate |
What is the third derivative of -12507741*l**6 - 157*l**2 - 314*l - 11? | -1500928920*l**3 | calculus__differentiate |
Find the second derivative of 57813*r**3*x - 23*r**2 + 298380*r*x - 16*x wrt r. | 346878*r*x - 46 | calculus__differentiate |
Find the first derivative of -1616*y**4 - 712*y**2 + 12612429. | -6464*y**3 - 1424*y | calculus__differentiate |
What is the first derivative of -10395447*l + 13893463 wrt l? | -10395447 | calculus__differentiate |
What is the second derivative of -1206151*b**5 + 4*b**3 - 9015914*b wrt b? | -24123020*b**3 + 24*b | calculus__differentiate |
What is the derivative of 162*g*t + 10289*g + 2*t + 1061938 wrt g? | 162*t + 10289 | calculus__differentiate |
Find the third derivative of -1533*n**4*p**3 + 4*n**4 + 34*n**3*p - 9*n**2 - 150514*n*p**3 wrt n. | -36792*n*p**3 + 96*n + 204*p | calculus__differentiate |
What is the third derivative of -4649319*i**4 + 3846391*i**2 - 1? | -111583656*i | calculus__differentiate |
What is the derivative of 13282477*q**4 - 7216038 wrt q? | 53129908*q**3 | calculus__differentiate |
Find the second derivative of -15759413*a**2 - 4*a - 109770 wrt a. | -31518826 | calculus__differentiate |
What is the third derivative of 9206192*i**5 - 2*i**4 - 71*i**2 - 1331*i - 2? | 552371520*i**2 - 48*i | calculus__differentiate |
Find the second derivative of 5599070*j**3 - 9622952*j wrt j. | 33594420*j | calculus__differentiate |
Find the second derivative of -5*g**5 - 18769*g**4 + 5*g**2 + 787651*g + 4. | -100*g**3 - 225228*g**2 + 10 | calculus__differentiate |
What is the second derivative of 2*k**5 - 2357601*k**3 + k**2 + 5986207*k? | 40*k**3 - 14145606*k + 2 | calculus__differentiate |
What is the second derivative of -17*x**5 - 308*x**4 - 23*x**2 + 7840607*x? | -340*x**3 - 3696*x**2 - 46 | calculus__differentiate |
What is the derivative of 15420300*a**2 - 2758580? | 30840600*a | calculus__differentiate |
Find the second derivative of 929*d*z**2 - 308*d*z + 123*z**2 - 1320*z wrt z. | 1858*d + 246 | calculus__differentiate |
What is the third derivative of 2524*k**3*p**4 - k**3*p**2 + 16*k**2*p**5 - 11*k**2*p - 487*p**2 + 8*p wrt p? | 60576*k**3*p + 960*k**2*p**2 | calculus__differentiate |
Find the first derivative of 3413172*a**4*f*k + 3*a*f + 96*f*k - 2*f - 5856*k - 3 wrt a. | 13652688*a**3*f*k + 3*f | calculus__differentiate |
What is the second derivative of -14708*b*c**3 - 9216549*b*c + 178*c**3 wrt c? | -88248*b*c + 1068*c | calculus__differentiate |
What is the derivative of 2*x**4 + 1411418*x**3 + 2972019? | 8*x**3 + 4234254*x**2 | calculus__differentiate |
What is the third derivative of 14823101*k**3 - 32307*k**2 + 4*k + 5 wrt k? | 88938606 | calculus__differentiate |
What is the first derivative of 14926500*k + 13109119? | 14926500 | calculus__differentiate |
What is the third derivative of -181706*q**5 - 13*q**3 + q**2 + 347202*q - 1 wrt q? | -10902360*q**2 - 78 | calculus__differentiate |
Differentiate -5902*i**2*z - 2*i**2 - 240*i*z - i - 6917*z - 72 with respect to i. | -11804*i*z - 4*i - 240*z - 1 | calculus__differentiate |
Find the second derivative of -15122332*l**2 + 4304118*l. | -30244664 | calculus__differentiate |
What is the second derivative of -6228665*b**3 + 2*b - 8052730? | -37371990*b | calculus__differentiate |
What is the second derivative of -589*x**4 - 9617*x**2 - 97*x + 17793? | -7068*x**2 - 19234 | calculus__differentiate |
Differentiate -6*d*s*y - 58*d*y + 2865*d - 745*s*y - 2*s + 108*y + 5 with respect to d. | -6*s*y - 58*y + 2865 | calculus__differentiate |
Find the third derivative of 2*i**5 - 131*i**4 + 9264*i**3 - 7616154*i**2 wrt i. | 120*i**2 - 3144*i + 55584 | calculus__differentiate |
What is the second derivative of 13043075*g**2 + 482*g + 4516 wrt g? | 26086150 | calculus__differentiate |
What is the second derivative of -68264*d**2*x - 24*d**2 + 64*d*x - 20394*d wrt d? | -136528*x - 48 | calculus__differentiate |
Find the second derivative of 19830*x**3*y**3 - 849858*x**3*y + 207*x**2*y**4 + 6*x**2*y wrt y. | 118980*x**3*y + 2484*x**2*y**2 | calculus__differentiate |
What is the second derivative of 2955128*c**4 + 9331424*c wrt c? | 35461536*c**2 | calculus__differentiate |
Differentiate 11002033*m**2 - 4800288. | 22004066*m | calculus__differentiate |
What is the second derivative of -1602435*o**3*v**2 + 7790*o**3*v - 216*o**3 + o**2 + 2*v**2 wrt v? | -3204870*o**3 + 4 | calculus__differentiate |
Differentiate -2*n**4 - n**3 - 106*n**2 - 29*n - 6603649. | -8*n**3 - 3*n**2 - 212*n - 29 | calculus__differentiate |
What is the second derivative of -1749310*o**2 + 491083*o - 11? | -3498620 | calculus__differentiate |
What is the third derivative of 7528707*p**3 - p**2 + 2*p - 3946631? | 45172242 | calculus__differentiate |
Find the third derivative of 2029*k**4*o + k**4 + 2*k**3*o + 462*k**3 + 2*k**2*o - 1244035*k**2 - o + 2 wrt k. | 48696*k*o + 24*k + 12*o + 2772 | calculus__differentiate |
Find the second derivative of -3*c**2*f**2 + 4*c**2*f*m + c**2*f + 20*c + 204959*f**2*m - 25*f*m - m wrt f. | -6*c**2 + 409918*m | calculus__differentiate |
Find the second derivative of 11314786*h**5 + 3*h - 1564086 wrt h. | 226295720*h**3 | calculus__differentiate |
What is the derivative of -o**2*x**3 + 716357*o*x**2 - 66796*x**3 + x**2 - x - 2 wrt o? | -2*o*x**3 + 716357*x**2 | calculus__differentiate |
Find the third derivative of -41*t*v**4 - 19*t*v**3 - t*v**2 - 1226*t*v - 2*t - 2*v**4 - 183*v**3 + 2*v**2 - 5*v wrt v. | -984*t*v - 114*t - 48*v - 1098 | calculus__differentiate |
Differentiate 1116*f**3 + 967*f**2 - 5264116 with respect to f. | 3348*f**2 + 1934*f | calculus__differentiate |
What is the derivative of -11104145*u - 10845689? | -11104145 | calculus__differentiate |
What is the derivative of -304168*a**2*t**4 - a**2*t**2 - 4340360*a**2 wrt t? | -1216672*a**2*t**3 - 2*a**2*t | calculus__differentiate |
Differentiate 2*c*s**2 - 19506*c*s + 70*c + 11*s**2 - 15280*s + 22 with respect to c. | 2*s**2 - 19506*s + 70 | calculus__differentiate |
What is the second derivative of 25*a**4 - 39330*a**2 - 4818718*a wrt a? | 300*a**2 - 78660 | calculus__differentiate |
What is the third derivative of 10988926*j**5 - 14615*j**2 + 48*j wrt j? | 659335560*j**2 | calculus__differentiate |
Find the third derivative of 15343512*f**5 + 14245412*f**2 wrt f. | 920610720*f**2 | calculus__differentiate |
Find the third derivative of 1934160*n**5*o + n**4*o**2 - 15*n**2*o - 116*n**2 - 5*o**2 - 3*o wrt n. | 116049600*n**2*o + 24*n*o**2 | calculus__differentiate |
Find the first derivative of -11325264*l*x - 9059102*l wrt x. | -11325264*l | calculus__differentiate |
What is the derivative of -14518235*r**2 - 7871955? | -29036470*r | calculus__differentiate |
What is the derivative of -7*c*p**3*u - 1441*c*p**2 - 21*c*p*u + 300*p**3 - 19*u wrt u? | -7*c*p**3 - 21*c*p - 19 | calculus__differentiate |
What is the second derivative of 55*d**4 + 234*d**3 - 14*d**2 - 10202698*d wrt d? | 660*d**2 + 1404*d - 28 | calculus__differentiate |
Find the second derivative of -6010274*h**4 - 2*h**3 - 3*h + 473519. | -72123288*h**2 - 12*h | calculus__differentiate |
What is the third derivative of -1322*c*v**3*y - 8*c*v**2 - v**4*y**3 + 286*v**4 - 46*v**2*y**3 - 35*v**2*y wrt v? | -7932*c*y - 24*v*y**3 + 6864*v | calculus__differentiate |
What is the first derivative of 8734088*w + 11305777? | 8734088 | calculus__differentiate |
What is the first derivative of -13824168*t**4 - 6989017 wrt t? | -55296672*t**3 | calculus__differentiate |
What is the third derivative of 15478146*x**3 - 18*x**2 + 240048*x wrt x? | 92868876 | calculus__differentiate |
What is the second derivative of 9286644*a**3 - 140*a + 2613? | 55719864*a | calculus__differentiate |
Find the first derivative of 8473066*g**3 - 9655101 wrt g. | 25419198*g**2 | calculus__differentiate |
Differentiate -12768909*p - 14127801 with respect to p. | -12768909 | calculus__differentiate |
Find the second derivative of 493*b**4 - 2*b**3 - 998*b**2 + 109144*b + 7 wrt b. | 5916*b**2 - 12*b - 1996 | calculus__differentiate |
Find the second derivative of -1483*h**5 + h**4 + 663*h**3 - 7463292*h wrt h. | -29660*h**3 + 12*h**2 + 3978*h | calculus__differentiate |
What is the second derivative of -7877118*a**2 + 11*a + 104837 wrt a? | -15754236 | calculus__differentiate |
What is the second derivative of 2*f**2*q**3 + 3*f**2*q**2 + 360252*f**2*q + 2*f*q**3 - 118893*q + 12 wrt f? | 4*q**3 + 6*q**2 + 720504*q | calculus__differentiate |
What is the second derivative of -16*c*i**2*p**2 - 29*c*i**2 - 2*c*i*p**2 - 3*c*i*p - 3*c*i + 2*i**2*p**2 + i**2 - 537*i*p + 10*i + 2*p**2 wrt i? | -32*c*p**2 - 58*c + 4*p**2 + 2 | calculus__differentiate |
Find the second derivative of 3729*l**3 + 121*l**2 + 74944*l. | 22374*l + 242 | calculus__differentiate |
Find the second derivative of -414*b**3*s - b**3 - 1159*b**2 + 7*b*s - 729*b - 28*s - 5 wrt b. | -2484*b*s - 6*b - 2318 | calculus__differentiate |
Find the third derivative of -10740594*s**3 + 17*s**2 - 84011*s - 1 wrt s. | -64443564 | calculus__differentiate |
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