derivative of 0*i**2 - 1/51*i**3 - u*i + 0 - 1/102*i**4. Let h(d) = 0. What is d?
-1, 0
Suppose 3*u + 7 = -10*r + 9*r, -5*r + 3*u + 37 = 0. Let t(f) be the second derivative of -1/4*f**r + 5/3*f**4 + 0*f**2 + 0 - 10/3*f**3 + 13*f. Factor t(n).
-5*n*(n - 2)**2
Let l(c) = -4*c**2 - 304*c - 1149. Let a be l(-72). Let d(g) be the first derivative of 0*g + 5/2*g**2 - g**5 + 5/3*g**a - 5/4*g**4 - 34. Factor d(z).
-5*z*(z - 1)*(z + 1)**2
Suppose -145*b = -146*b + 8. Let f(a) be the second derivative of -3*a**4/4 + 7*a**3/6 + a. Let c(t) = 14*t**2 - 11*t. Let k(q) = b*f(q) + 5*c(q). Factor k(i).
-i*(2*i - 1)
Suppose 0 = 49*n - 18*n + 124. Let c be 7*((-480)/196)/n. Solve 0 - 2*g**3 - 18/7*g + c*g**2 + 2/7*g**4 = 0 for g.
0, 1, 3
Let u = -59 - -64. Suppose 30 = u*c + 5*c. Factor -5/2*k + c + 1/2*k**3 - k**2.
(k - 3)*(k - 1)*(k + 2)/2
Let t(g) be the first derivative of -g**4/6 - 8*g**3/3 + 32*g + 39. Let w(i) be the first derivative of t(i). Let w(y) = 0. What is y?
-8, 0
Determine q so that -2/5*q**3 + 0 + 256/5*q + 16/5*q**2 = 0.
-8, 0, 16
Let l(x) = 40*x**2 + 7*x. Let d be l(3). Suppose -19*v + 132 = -d. Factor -m**3 + 38*m - 14*m + 0*m**3 - v*m**2 + 4*m**3.
3*m*(m - 8)*(m - 1)
Let d = -545 - -630. Let c be (5 - 2) + d/(-20) + 5. Solve -c - 9/2*x - 3/4*x**2 = 0.
-5, -1
Let n = 44180/7 + -6311. Let z(k) be the first derivative of 3/28*k**4 + n*k**3 + 0*k - 10 + 3/7*k**2. Let z(h) = 0. What is h?
-2, -1, 0
Let z(g) be the third derivative of g**4/6 + 2*g**3/3 - 2*g**2 + 37. Let c be z(-1). Suppose c + 0*s - 4/7*s**3 - 12/7*s**2 = 0. Calculate s.
-3, 0
Let a be 24/76*(-31236)/(-1096). What is u in 21/2 - a*u - 3/2*u**2 = 0?
-7, 1
Let q be 8/(-7 - -29 - 19). Let o(y) be the first derivative of 1/4*y**4 + 8*y**2 - q*y**3 + 0*y + 9. Factor o(s).
s*(s - 4)**2
Let y be ((8/(-56))/((-1)/3))/((-72)/(-336)). Let m be 1/(3/(12/14)). Factor 0 + 8/7*c + m*c**y.
2*c*(c + 4)/7
Let a(g) = -11*g - 75. Let s be a(-7). Factor -181*r + 2368*r + 81*r**3 + 729*r**s + 3*r**4 + 0*r**4.
3*r*(r + 9)**3
Let v = 491 + -488. Determine h so that 5*h**v - 1095 + 1095 = 0.
0
Let x be (-7)/(-2) + 6*(-105)/180. Find s such that -17/4*s**4 - 2*s - 15*s**2 + x + 33/2*s**3 = 0.
-2/17, 0, 2
Solve 55 + 17/2*h - 1/2*h**2 = 0 for h.
-5, 22
Let n = -13171/123 + 4527/41. Factor -8/3*d - n*d**3 - 17/3*d**2 + 0 - 1/3*d**4.
-d*(d + 1)**2*(d + 8)/3
Let v(k) be the third derivative of k**6/540 + 5*k**5/18 - k**2 - 10. Factor v(t).
2*t**2*(t + 75)/9
Factor 0 + 672/5*l**2 + 2/15*l**4 + 136/15*l**3 - 3456/5*l.
2*l*(l - 4)*(l + 36)**2/15
Let w = -39652 + 39652. Factor -2*o**5 + 0*o + w*o**2 - 8/3*o**4 + 0 - 2/3*o**3.
-2*o**3*(o + 1)*(3*o + 1)/3
Suppose 2*h + 2*w = 91 - 47, -3*h - 6*w = -126. Determine g so that 0*g**3 + 0*g + 0*g**h - 1/3*g**4 + 0 = 0.
0
Let l(a) be the first derivative of 5*a**4/2 - 122*a**3/3 + 192*a**2 - 72*a - 326. Suppose l(z) = 0. What is z?
1/5, 6
Let b(x) be the third derivative of -x**7/2520 - x**6/72 + 2*x**5/45 - 67*x**3/3 - 5*x**2 - 3. Let w(q) be the first derivative of b(q). What is i in w(i) = 0?
-16, 0, 1
Factor 3459*j**4 - 44*j**2 + 2*j**3 + 3451*j**4 - 48 - 6908*j**4 + 88*j.
2*(j - 2)**2*(j - 1)*(j + 6)
Let o(z) = -3*z**2 + 37*z + 43. Let y be o(13). Determine m, given that y*m + 3*m**2 + 0*m**2 + 31*m - 7*m**2 = 0.
0, 12
Let q = -605/16 + 1847/48. Let a(l) be the first derivative of -11 + 3*l**2 - 4*l - q*l**3. Factor a(x).
-2*(x - 2)*(x - 1)
Let h(s) be the third derivative of -s**5/15 + 421*s**4/3 - 354482*s**3/3 - 2*s**2 + 979. Factor h(z).
-4*(z - 421)**2
Let l(d) = 318 - 20*d + 80 + 152 - 67. Let x be l(24). Find j such that 24/5*j + 6/5*j**x + 32/5*j**2 - 32/5 = 0.
-4, -2, 2/3
Factor 2/5*f**2 - 4/5 - 6/5*f + 6/5*f**3 + 2/5*f**4.
2*(f - 1)*(f + 1)**2*(f + 2)/5
Let p = -60 - -70. Let j**4 - j**5 + 15*j - 14*j**3 - p*j**4 + 2*j**2 - 30 + 37 = 0. Calculate j.
-7, -1, 1
Let v(w) be the second derivative of 5*w**4/12 + 7440*w**3 + 49818240*w**2 + w - 2383. Factor v(d).
5*(d + 4464)**2
Let w(p) = -4*p**3 - 118*p**2 + 120*p + 5. Let u(i) = -2*i**3 - 50*i**2 + 60*i + 2. Let d(k) = 5*u(k) - 2*w(k). What is y in d(y) = 0?
-10, 0, 3
Let b be (11942/56)/(1/4). Let y = b - 851. Find l such that 5/2*l**y - 1/2*l**3 - 3/2*l - 9/2 = 0.
-1, 3
Let d(i) be the first derivative of -41*i**3/9 - 47*i**2/6 - 2*i + 1582. Suppose d(k) = 0. Calculate k.
-1, -6/41
Let z = -863557 + 863560. Suppose -432/7*s - 32/7*s**z - 2/7*s**4 - 54 - 180/7*s**2 = 0. What is s?
-7, -3
Factor 1/8*k**2 + k + 7/8.
(k + 1)*(k + 7)/8
Let m(i) be the third derivative of -9*i**6/80 - 19*i**5/10 - 95*i**4/16 - 7*i**3 + 1352*i**2. Let m(j) = 0. Calculate j.
-7, -1, -4/9
Let i be (1 - 33/21)/(2*11/(-77)). Let b(u) be the first derivative of 4*u - 9/2*u**i - 30 - 1/4*u**4 + 2*u**3. Solve b(q) = 0.
1, 4
Let r(j) be the third derivative of 1/504*j**8 + 0*j + 25/9*j**3 + 17/90*j**6 - 11/315*j**7 + 29*j**2 - 7/45*j**5 - 35/36*j**4 + 0. Let r(s) = 0. What is s?
-1, 1, 5
Let h(y) be the third derivative of 0*y**4 - 1/60*y**5 + 1/420*y**7 + 1/12*y**3 + 3 + 0*y + 0*y**6 - 13*y**2. Factor h(g).
(g - 1)**2*(g + 1)**2/2
What is a in -16/5*a**3 + 26/5*a**4 - 24/5*a**2 + 0*a - 6/5*a**5 + 0 = 0?
-2/3, 0, 2, 3
Let u(d) be the first derivative of d**3/2 + 177*d**2/4 + 330*d + 1842. Factor u(n).
3*(n + 4)*(n + 55)/2
Let c(n) be the third derivative of n**6/240 + n**5/5 + 101*n**4/48 + 19*n**3/2 - 2*n**2 - 101*n. Find m such that c(m) = 0.
-19, -3, -2
Let s(y) be the third derivative of y**5/10 + y**4/6 - 5*y**3/6 + 14*y**2 + 2. Let b(w) = 28*w**2 + 20*w - 24. Let p(a) = -5*b(a) + 24*s(a). Factor p(t).
4*t*(t - 1)
Suppose 0 = -3*z - 54*z + 11571. Determine v so that 74 - 429*v**2 + 180*v**5 - z*v**2 - 14 - 915*v**4 - 13*v**2 - 20*v + 1340*v**3 = 0.
-1/4, 2/3, 1, 3
Let s(p) be the first derivative of -2*p**2 - p + 104. Let q(w) = -3*w**2 - 16*w + 23. Let y(u) = -q(u) + 4*s(u). Factor y(a).
3*(a - 3)*(a + 3)
Suppose 0 = 2*n + v + 247, -5*v = -2*n - 2*v - 227. Let p = -117 - n. Solve 16/5*k - 6/5 + 2/5*k**p + 0*k**3 - 12/5*k**2 = 0 for k.
-3, 1
Suppose 26 - 77 = -17*k. Factor -29*w - 3*w**2 + 3*w**k + 62*w - 32*w - w**4.
-w*(w - 1)**3
Let d(i) be the first derivative of -3/4*i**2 - 1/4*i**3 - 28 - 3/4*i. Factor d(n).
-3*(n + 1)**2/4
Let j(z) = -8*z**5 + 104*z**4 - 408*z**3 + 592*z**2 - 388*z + 104. Let o(h) = -h**5 - 2*h**4 + 2. Let x(k) = -j(k) + 4*o(k). Find f such that x(f) = 0.
1, 24
Let t be 2248/1686*3/36*3 + (-2)/42. Factor -t*a + 0 + 13/7*a**2.
a*(13*a - 2)/7
Let n be 2/7 + 1034/154. Let u(d) = -22*d**2 + 30*d - 38. Let s(c) = -26*c**2 + 30*c - 39. Let q(f) = n*u(f) - 6*s(f). Factor q(i).
2*(i - 1)*(i + 16)
Let p(n) be the first derivative of -1/75*n**5 + 9 - 10/3*n**3 + 1/900*n**6 + 0*n**2 + 0*n**4 + 0*n. Let l(r) be the third derivative of p(r). Factor l(w).
2*w*(w - 4)/5
Let p(x) be the second derivative of 7/600*x**5 - 29/6*x**3 + 4*x - 1/600*x**6 + 0*x**2 - 1/60*x**4 + 0. Let w(m) be the second derivative of p(m). Factor w(a).
-(a - 2)*(3*a - 1)/5
Let u(i) be the second derivative of i**4/12 - 348*i**3 + 544968*i**2 + 1836*i - 2. Suppose u(p) = 0. What is p?
1044
Let t(i) = -i - 1. Let p(k) be the first derivative of -k**4 + 28*k**3/3 - 25*k**2 - 2*k - 116. Let h(z) = -p(z) + 2*t(z). Factor h(m).
4*m*(m - 4)*(m - 3)
Let c = -478507 - -2392577/5. Suppose 2/5*x**2 + 0 + c*x**3 - 34/5*x**4 - 14/5*x + 4/5*x**5 = 0. Calculate x.
-1/2, 0, 1, 7
Let o be -4*9*(-17 + (-3336)/(-48)). Let f = -15105/8 - o. Factor q**2 + 1/2 + f*q - 3/8*q**3.
-(q - 4)*(q + 1)*(3*q + 1)/8
Let u = 126520 - 126518. Factor 1/3*c**u + 0 - 7/3*c.
c*(c - 7)/3
Let c(r) be the third derivative of -2/15*r**5 - 3/10*r**4 + 9*r**2 - 6 + 0*r - 1/150*r**6 + 0*r**3. Find p such that c(p) = 0.
-9, -1, 0
Let t = 155/3 - 773/15. Let s be (-4279 - -4280)*(-4)/(-1 + -1). Factor -t*l**s + 8/15 + 0*l.
-2*(l - 2)*(l + 2)/15
Let y(j) be the second derivative of 0 + 3/100*j**5 + 51*j + 11/10*j**3 + 9/5*j**2 + 3/10*j**4. Suppose y(s) = 0. Calculate s.
-3, -2, -1
Let f(m) = -3*m**3 - 174*m**2 - 7742*m + 16182. Let z(k) = 7*k**3 + 346*k**2 + 15485*k - 32355. Let t(d) = 5*f(d) + 2*z(d). Solve t(a) = 0.
-90, 2
Let u(f) be the second derivative of 3*f**5/80 - 37*f**4/16 - 39*f**3/4 - 846*f. Let u(t) = 0. Calculate t.
-2, 0, 39
Factor -107/7*h + 330/7 - 1/7*h**2.
-(h - 3)*(h +