 = 0.
-5, -1, 1
Let h(x) = 6*x - 76. Let b be h(13). Factor 2*o**5 + 60*o**2 + 32*o**b - 56*o**3 + 58*o + 14 + 22*o**4 + 124*o**3.
2*(o + 1)**4*(o + 7)
Let g(j) be the first derivative of 4*j**3/3 + 36*j**2 - 352*j - 1070. Let g(r) = 0. What is r?
-22, 4
Suppose -3*w - 4*k = -12, w - 4*k = 3*w - 8. Let i = -5830 - -5832. Suppose 0 + 2/3*f**w + 2/3*f**3 - 2/3*f - 2/3*f**i = 0. What is f?
-1, 0, 1
Suppose -67*i**3 - 150 - 142*i**2 - 86*i**2 - 183*i**2 + 110*i**2 - 485*i - 5*i**4 = 0. What is i?
-5, -3, -2/5
Let y(x) = -138*x + 284*x - 145*x + 11. Let p be y(-8). Factor 0 + 2/3*h**p + 2*h**2 + 0*h.
2*h**2*(h + 3)/3
Let k(b) = 5*b**2 - 33*b - 54. Let f(m) = 2*m**2 - 11*m - 18. Suppose 3*l = -2*u - 3, -9*l + 10*l + 4*u = 9. Let d(x) = l*k(x) + 8*f(x). Factor d(i).
(i + 2)*(i + 9)
Let d(h) be the third derivative of h**6/360 - 2*h**5/5 + 24*h**4 - 97*h**3/6 + 57*h**2. Let x(g) be the first derivative of d(g). Let x(b) = 0. What is b?
24
Let r(m) be the second derivative of m**4/72 - 23*m**3/12 + 67*m**2/6 + 3*m - 39. Solve r(n) = 0.
2, 67
Find q such that -2/3*q - 14/3*q**2 + 0 = 0.
-1/7, 0
Let g(a) = 11*a**3 - 30*a**2 - 89*a - 72. Let n(t) = -2*t**3 + t**2 + t + 2. Let c(h) = -g(h) - 6*n(h). Factor c(y).
(y + 1)*(y + 3)*(y + 20)
Let m(z) be the first derivative of z**7/735 - 11*z**5/210 + 3*z**4/14 - 8*z**3/21 - z**2 - 159. Let q(x) be the second derivative of m(x). Solve q(o) = 0.
-4, 1, 2
Let c be ((-170)/(-51))/((-5)/(-6)). Let y(b) be the first derivative of 5/2*b**2 + 3 + b**5 + 0*b + 5*b**3 + 15/4*b**c. Factor y(q).
5*q*(q + 1)**3
Factor 213966598 - 64*m**2 - 59*m - 213966598 + 4*m**3 + 299*m.
4*m*(m - 10)*(m - 6)
Let l(k) be the second derivative of 27*k**5/50 + 7*k**4/2 - 1568*k**3/45 + 1372*k**2/15 + 3*k - 27. Factor l(y).
2*(y + 7)*(9*y - 14)**2/15
Suppose -19*i = -40 - 36. Let u(d) be the third derivative of 0 - 10*d**2 - 1/56*d**i - 1/140*d**5 + 1/7*d**3 + 0*d. Factor u(n).
-3*(n - 1)*(n + 2)/7
Suppose -293*n - 258*n = 113 - 1215. Solve -18/5*s**n + 2/5*s + 0 = 0 for s.
0, 1/9
Factor 296*x + 3*x**3 - 80*x + 374 + 87*x - 114*x**2 + 46.
3*(x - 35)*(x - 4)*(x + 1)
Let d(u) be the second derivative of 5*u**4/24 - 5*u**3/4 + 3*u - 117. Factor d(z).
5*z*(z - 3)/2
Let f(l) be the first derivative of -242*l**5/5 + 473*l**4/2 + 280*l**3/3 - 348*l**2 - 288*l + 2739. Let f(p) = 0. Calculate p.
-6/11, 1, 4
Let z = -200443/2 + 100224. Suppose 3*m - 25 = -5*i, -4*i = -5*m + i - 25. Factor z*r**2 + m - 25/2*r.
5*r*(r - 5)/2
Let i(h) be the second derivative of h**7/1260 + h**6/72 - h**4/4 + 3*h**3/2 - 26*h. Let m(k) be the third derivative of i(k). Factor m(p).
2*p*(p + 5)
Determine k so that 224*k - 209*k**2 + 292*k + 131*k**2 + 597*k**2 + 0*k**3 + 3*k**3 = 0.
-172, -1, 0
Suppose -57*b + 51*b - 36 = 0. Let g be (-3 + b)/((-15)/8). Factor -8/5*j**4 - 2/5 - 26/5*j**2 + 12/5*j + g*j**3.
-2*(j - 1)**2*(2*j - 1)**2/5
Factor 745 + 5979*o + 28*o**2 - 1330*o + 2*o**2 + 10*o**2 + 1316*o.
5*(o + 149)*(8*o + 1)
Factor -222*c - 3/7*c**2 - 1551/7.
-3*(c + 1)*(c + 517)/7
Let s be (5/(-40))/((-5)/80). Let j(q) be the second derivative of 0*q**s + 0*q**3 - 1/4*q**5 - 5/12*q**4 + 7*q + 0. Factor j(r).
-5*r**2*(r + 1)
Let v(n) = 2*n**3 - 2*n + 1. Let x(j) = 4*j**4 - 242*j**3 - 488*j**2 + 6*j - 3. Let s(g) = -3*v(g) - x(g). What is l in s(l) = 0?
-2, 0, 61
Factor -300*i**2 - 183*i**4 + 215*i**3 + 183*i + 5*i**5 - 43*i + 123*i**4.
5*i*(i - 7)*(i - 2)**2*(i - 1)
Let a = 1056 + -1054. Let f(r) be the second derivative of -4/3*r**3 - 19*r + 2*r**a + 1/3*r**4 + 0. Find j such that f(j) = 0.
1
Let z be 1 + (-3)/(12/5) - (-13968)/6208. Find w such that -1/5*w**z - 144/5 - 24/5*w = 0.
-12
Let c(g) = 281*g**2 - 558*g - 8. Let f be c(2). Factor f + 0*p**2 - 15*p**3 + 0*p + 5/2*p**4.
5*p**3*(p - 6)/2
Let x(l) be the second derivative of 37*l + 0 + 1/20*l**5 + 0*l**3 + 0*l**2 + 1/4*l**4. Suppose x(h) = 0. What is h?
-3, 0
Let a = 82 - 66. Suppose -4*v = -2*n - 2*n - a, -5*n - 12 = -v. Factor -8 + 20*h - 89*h**5 + 85*h**5 + 7*h**4 - 8*h**v + 9*h**4 - 16*h**3.
-4*(h - 2)*(h - 1)**3*(h + 1)
Let g(m) be the first derivative of m**3/3 + 5*m**2/2 - 9*m - 18. Let w be g(-7). Find h such that -5*h**3 + w*h + 0*h - 1630*h**4 + 10*h**2 + 1620*h**4 = 0.
-1, -1/2, 0, 1
Let u = -72943 + 364739/5. Let k = -9 - -18. Determine n, given that 21/5*n**4 - 78/5*n**3 + u + 78/5*n - k*n**2 = 0.
-1, -2/7, 1, 4
Let i(p) = 2*p**2 + 34*p - 33. Let t be i(-21). Let d = 406/3 - t. Determine q, given that -1/3*q**4 + d + 2/3*q - 2/3*q**3 + 0*q**2 = 0.
-1, 1
Let r(c) be the third derivative of c**5/420 + 3*c**4/28 + 17*c**3/42 + 7*c**2 + 82. Find l such that r(l) = 0.
-17, -1
Find u such that 2*u**5 + 33*u**3 - 168 + 6*u**3 - 18*u**4 + 706*u + 114*u**2 - 814*u - 5*u**5 = 0.
-7, -2, -1, 2
Let r(m) be the third derivative of m**5/270 - 2245*m**4/54 + 5040025*m**3/27 - 12*m**2 - 83*m. Factor r(g).
2*(g - 2245)**2/9
Let f(v) be the second derivative of 529*v**2 - 73*v + 1/6*v**4 + 0 - 46/3*v**3. Find n such that f(n) = 0.
23
Suppose 24 = 2*p + m, -38*p = -33*p - 4*m - 34. Let r be p/6 - 1 - 2/3. Suppose -5*q**2 + r - 3*q - 7/3*q**3 - 1/3*q**4 = 0. Calculate q.
-3, -1, 0
Let i(l) = -l**2 + 8*l + 11. Let s(o) be the first derivative of 4*o**3/3 - 31*o**2/2 - 44*o + 58. Let f(t) = 9*i(t) + 2*s(t). Solve f(n) = 0 for n.
-1, 11
Let -9/4*l**3 + 10 + 7/2*l - 35/4*l**2 = 0. Calculate l.
-4, -1, 10/9
Determine u so that 1120/9*u + 2/9*u**2 + 156800/9 = 0.
-280
Let l(q) be the first derivative of q**3/12 - 139*q**2/8 + 102*q - 4148. Factor l(v).
(v - 136)*(v - 3)/4
Let s = 989 + -987. Suppose -28*v**4 + 7*v + s*v**5 + 46*v**2 - 4*v**3 - 5*v**5 - 430 + 412 = 0. Calculate v.
-9, -1, 2/3, 1
Let c(f) be the third derivative of -f**5/150 - 5*f**4/6 - 49*f**3/15 + 26*f**2 + 32. Let c(b) = 0. Calculate b.
-49, -1
Let j = 2288/9 + -104933/414. Let p = -1/92 + j. Factor 12*o**3 + 6*o**2 + 0 + p*o.
3*o*(4*o + 1)**2/4
Let s be (-5)/12 + (-1 + -2 - -4). Let c(m) be the third derivative of 0*m + 20*m**2 + 1/6*m**5 + m**3 - 1/60*m**6 + 0 - s*m**4. Factor c(a).
-2*(a - 3)*(a - 1)**2
Let o(r) = -393*r + 19269. Let l be o(49). Factor l + 1/3*a**2 - 4*a.
(a - 6)**2/3
Factor -64*q**2 - 29*q**4 - q**3 + 12*q**3 + 97*q**4 - 40*q**4 + 13*q**3.
4*q**2*(q + 2)*(7*q - 8)
Let m be (100/(-15))/2 - 519/(-18). Determine g, given that 3*g + 0 + 6*g**5 - 57/4*g**2 + 9/4*g**3 + m*g**4 = 0.
-4, -1, 0, 1/4, 1/2
Let k(b) = -3*b**4 + 11*b**3 + 748*b**2 - 140*b. Let d(f) = -2*f**4 + 7*f**3 + 499*f**2 - 100*f. Let h(j) = -7*d(j) + 5*k(j). Factor h(y).
-y**2*(y - 19)*(y + 13)
Let v = 2875 - 2872. Let s(a) be the third derivative of -1/4*a**4 + 2*a**2 + 0*a + 0 + 3/2*a**v + 1/60*a**5. Suppose s(f) = 0. Calculate f.
3
Let 60*f - 656/3 - 2/3*f**3 + 26*f**2 = 0. Calculate f.
-4, 2, 41
Factor -3*p**3 + 51*p**2 - 11*p**2 + 270 + 351*p + 38*p**2.
-3*(p - 30)*(p + 1)*(p + 3)
Suppose 13*s = -32*s - 12780. Let z be ((-142)/s)/(14/12). Let -6/7 + 9/7*j + 0*j**2 - z*j**3 = 0. What is j?
-2, 1
Let s be 9/((-45)/(-70)) + -2. Let k be 13/12 - s/(-48). Find g, given that k*g + 2 - 2/3*g**2 = 0.
-1, 3
Suppose 416 = -3*m + 536. Suppose 13*h - m = -14. Suppose 1/6*j**3 + 3/2*j - 5/3*j**h + 0 = 0. What is j?
0, 1, 9
Suppose 5*f + 42*q = 40*q - 4091, -3*f + 5*q - 2467 = 0. Let h be 1/(-1) + f/(-455). Factor 0 + 2/5*z**4 + h*z**2 + 0*z - 6/5*z**3.
2*z**2*(z - 2)*(z - 1)/5
Let d(f) be the first derivative of -f**6/15 - 3*f**5/10 - f**4/2 - f**3/3 - 193*f + 100. Let s(n) be the first derivative of d(n). Find p such that s(p) = 0.
-1, 0
Let s(m) = -2*m**2 + 2*m + 2. Let x(a) = -3*a**3 + 52*a**2 + 53*a - 280. Let l(h) = -5*s(h) - x(h). Factor l(k).
3*(k - 15)*(k - 2)*(k + 3)
Suppose -484/5*j**5 + 32 + 6628/5*j**3 + 1968/5*j + 792/5*j**4 + 1432*j**2 = 0. What is j?
-2, -1, -2/11, 5
Suppose 1291 = w + 4*m - 10, 2*m = -3*w + 3933. Let r = w - 1311. Find t such that -1/5*t**r - 6/5*t - 1 = 0.
-5, -1
Let f(c) be the first derivative of 5/6*c**6 - 9 - 6*c**5 + 0*c**2 + 0*c + 0*c**4 + 160/3*c**3. Factor f(y).
5*y**2*(y - 4)**2*(y + 2)
Let l be (20/(-25))/((-1312)/(-220) - 6). Suppose -l*j - 8*j + 88 - 793*j**3 + 789*j**3 - j - 48*j**2 - 5*j = 0. What is j?
-11, -2, 1
Factor 2/11*j**2 + 20/11*j + 32/11.
2*(j + 2)*(j + 8)/11
Let d(n) be the third derivative of n**5/60 + 3*n**4/4 - 21*n**3/2 