+ 51*q**4/8 - 3*q**3 - 2153. Let m(f) = 0. What is f?
-1, 0, 2/7, 3
Let l(b) be the second derivative of -1/6*b**3 + 0 + b**2 - 154*b - 1/6*b**4 + 1/20*b**5. Factor l(s).
(s - 2)*(s - 1)*(s + 1)
Suppose 0 = 118*q - 116*q + 4*z - 3580, z - 3568 = -2*q. Let a = q - 1777. Suppose 0*x**2 + 0 + 0*x + 1/3*x**a + 1/3*x**4 + 0*x**3 = 0. Calculate x.
-1, 0
Let d(a) = -11*a**3 + 37*a**2 + 8*a - 34. Let o(x) = 3*x - 2*x + 2*x**2 + 3*x**2 + 2 - 2*x**3 - 6*x**2. Let l(u) = d(u) - 3*o(u). What is p in l(p) = 0?
-1, 1, 8
Let h(y) be the first derivative of 1/18*y**3 + 1/12*y**2 - y + 23. Factor h(w).
(w - 2)*(w + 3)/6
Suppose 0 = 15*i + 8*i - 2875. Find m such that i*m**4 - 29*m**2 + 10*m**3 - 18 + 121*m**4 - 247*m**4 - m**3 + 39*m = 0.
1, 2, 3
Let o(d) be the first derivative of -4*d**5/5 - 70*d**4/3 - 272*d**3/3 - 48*d**2 + 640*d/3 - 517. Find n such that o(n) = 0.
-20, -2, 2/3
Let g be 6/6*6 - 2. Factor -670*y**4 - 2*y**3 - 5*y - 2*y**2 + 2*y**5 + 672*y**g + 5*y.
2*y**2*(y - 1)*(y + 1)**2
Let m(j) be the first derivative of -j**6/6 - j**5/5 + 6*j**4 + 88*j**3/3 + 56*j**2 + 48*j - 316. Determine v, given that m(v) = 0.
-2, -1, 6
Solve -66/5 + 133/10*p - 1/10*p**2 = 0 for p.
1, 132
Let f(a) = a**3 + 14*a**2 - 20*a - 50. Let u be f(-16). Let p be 2/(8/74) - u/(-484). Factor 33/2*o**2 - 54 + p*o - 3*o**3 - 3/2*o**4.
-3*(o - 2)**2*(o + 3)**2/2
Let t(a) be the first derivative of 2*a**5/5 + 167*a**4/2 + 330*a**3 + 493*a**2 + 328*a + 36. Factor t(u).
2*(u + 1)**3*(u + 164)
Factor 262/17*m - 2/17*m**2 + 0.
-2*m*(m - 131)/17
Let z = 2993251/5 + -598650. Find w, given that -4/5*w - 4/5 + 1/5*w**3 + z*w**2 = 0.
-2, -1, 2
Let t(q) = -653*q - 241607. Let y be t(-370). Factor 1/4*s**y + 16 + 20*s + 17/4*s**2.
(s + 1)*(s + 8)**2/4
Suppose 21*n = 45*n - 720. Let m be (0 - n/195) + 42/104. Factor 3/2*u + 5/4 + m*u**2.
(u + 1)*(u + 5)/4
Suppose 44 = 3*p - 2*i, -184*i - 87 = 4*p - 179*i. Factor -4/3*r**p + 0 + 1/3*r**3 - 5/3*r.
r*(r - 5)*(r + 1)/3
Let h(m) = -6*m + 378. Let f be h(47). Determine s so that 67*s - 9*s + 44*s**3 + 32 + f*s - 168*s**2 - 20*s + 10*s = 0.
-2/11, 2
Let u be (-568)/210 - (-10430)/3725. What is i in -u*i**2 + 4/7*i - 10/21 = 0?
1, 5
Let w be (34/1275)/(7/((-105)/(-24))). Let c(r) be the third derivative of -19/27*r**4 - w*r**6 + 0*r + 8/9*r**3 + 11/45*r**5 + 0 + 7*r**2. Factor c(l).
-2*(l - 6)*(3*l - 2)**2/9
Let g(y) be the third derivative of y**6/720 - 67*y**5/360 - 73*y**4/24 - 1636*y**2. Let g(c) = 0. What is c?
-6, 0, 73
Let f(p) = -2*p**2 - 1. Let v(n) = -35*n + 28*n + 24 + 20 + 23*n**2 - 41. Let x(y) = -22*f(y) - 2*v(y). Find b, given that x(b) = 0.
-1, 8
Let v(x) be the third derivative of -x**7/70 - x**6/2 - 37*x**5/20 - 9*x**4/4 - 6*x**2 + 11*x. Factor v(o).
-3*o*(o + 1)**2*(o + 18)
Suppose v = -2*v + 123. Determine o, given that -6*o + 0*o + 73 - 41 + 3*o**2 - v = 0.
-1, 3
Let s(c) be the second derivative of -38*c**6/15 + 15*c**5 - 91*c**4/3 + 22*c**3 + 4*c**2 + 1355*c. What is l in s(l) = 0?
-1/19, 1, 2
Let c(x) be the third derivative of x**7/735 + 29*x**6/420 + 131*x**5/210 - 23*x**4/12 + x**2 + 2*x + 23. Let c(p) = 0. Calculate p.
-23, -7, 0, 1
Let p(q) be the third derivative of 1/1680*q**8 - 7/120*q**4 - 1/525*q**7 + 1/15*q**3 + 2/75*q**5 - 7*q + 0 - 3*q**2 - 1/300*q**6. Factor p(t).
(t - 1)**4*(t + 2)/5
Let p(y) be the first derivative of -y**7/21 + y**6/3 - 2*y**5/5 + 50*y - 72. Let r(i) be the first derivative of p(i). Factor r(g).
-2*g**3*(g - 4)*(g - 1)
Let z(n) be the first derivative of 2*n**3/3 - 44*n**2 - 714*n - 1689. Factor z(l).
2*(l - 51)*(l + 7)
Let t(i) = -6*i**3 - 22*i**2 - 2*i - 2. Let l(w) = -83*w**2 - 47*w**3 - 11*w + 16*w**3 - 28*w**2 - 11. Let r(x) = -2*l(x) + 11*t(x). Solve r(q) = 0 for q.
-5, 0
Suppose -7*b = 24 - 59. Let d(f) = -9*f**2 + 23*f + 37. Let c(k) = -28*k**2 + 68*k + 112. Let m(h) = b*c(h) - 16*d(h). Factor m(l).
4*(l - 8)*(l + 1)
Factor -177*n**2 - 83773*n + 1129*n**2 - 142803*n + 28859*n**3 - 28860*n**3.
-n*(n - 476)**2
Let q be (16 + (-460)/30)/((-4)/(-2)). Find r, given that -q*r**2 + 2 + 5/3*r = 0.
-1, 6
Let z(r) be the first derivative of 441*r + 90 + 1198/3*r**3 - 1281/2*r**2 - 1/6*r**6 - 39/5*r**5 - 159/2*r**4. Let z(o) = 0. What is o?
-21, 1
Let g(q) = q**3 + 14*q**2 - 17*q - 28. Let f be g(-15). Suppose -614*n**2 - 33*n - 30 + 1220*n**f - 609*n**2 = 0. What is n?
-10, -1
Let b = 157 - 164. Let p be b/(140/(-9)) + (-10)/(-75). Solve 0 - 1/6*o + p*o**2 = 0.
0, 2/7
Factor -326*z + 2*z**2 - 308*z + 538*z.
2*z*(z - 48)
Let i(t) = -32*t**3 - 8*t**2 + 202*t + 528. Let c(h) = -3*h**3 - 3*h**2. Let o(g) = 33*c(g) - 3*i(g). Solve o(l) = 0.
-11, -8, -6
Let a = -2068 - -1220. Let g = a + 851. Determine x so that -27/7*x**4 + 0 - 156/7*x**2 - 48/7*x - 144/7*x**g = 0.
-4, -2/3, 0
Let s(c) = -11*c**4 - 10*c**3 - 12*c**2 - c - 2. Suppose 0 = -4*x + 20*x - 32. Let t(d) = -d**4 - 2*d**3 - d. Let v(f) = x*s(f) - 18*t(f). Factor v(a).
-4*(a - 1)**4
Factor 3*s**4 - 41 + 322 - 54*s**3 + 190 - 761*s + 324*s**2 + 47*s - 30.
3*(s - 7)**2*(s - 3)*(s - 1)
Let g(v) be the third derivative of -v**5/20 - 653*v**4/8 + 655*v**3 - 2545*v**2. Factor g(d).
-3*(d - 2)*(d + 655)
Let u(r) = 2*r + 12. Let j be u(-5). Let w be 3 + -6*(-6)/9 + -5. Factor j*o + 0 + 1/2*o**4 - 3/2*o**3 + 0*o**w.
o*(o - 2)**2*(o + 1)/2
Let g(j) be the first derivative of j**6/9 - 4*j**5/15 - 2*j**4 + 76*j**3/9 - 37*j**2/3 + 8*j + 1489. Factor g(h).
2*(h - 3)*(h - 1)**3*(h + 4)/3
Let j = -79252 + 871776/11. Solve -2/11*b**5 - 8/11*b**2 + 14/11*b**3 + 0*b + 0 - j*b**4 = 0.
-4, 0, 1
Suppose -230*f - 32 = -246*f. Let 1275*u**3 - 14*u**f + 4*u + 14*u**4 - 2554*u**3 + 1275*u**3 = 0. Calculate u.
-1, 0, 2/7, 1
Let j(v) be the third derivative of -v**6/360 + 2*v**5/15 - 89*v**4/72 - 19*v**3/3 - 4*v**2 - 108*v + 2. Factor j(n).
-(n - 19)*(n - 6)*(n + 1)/3
Suppose 129*c + 480 = 97*c. Let g be (-48)/(-60) - 9/c. Let 0 + g*k**2 + 11/5*k**4 - 2/5*k + 4*k**3 = 0. What is k?
-1, 0, 2/11
Suppose -22*t - 5*r = -25*t + 56, 0 = -5*t + r + 20. Factor 66 + 261/2*w**t + 27/2*w**3 - 192*w.
3*(w + 11)*(3*w - 2)**2/2
Let m(z) be the second derivative of -z**4/42 + 172*z**3/21 + 75*z**2 + 3*z + 61. What is h in m(h) = 0?
-3, 175
Let k = -13884007/13227 - -22/4409. Let a = k - -1053. Determine w, given that a*w - 4/3*w**3 - 4/3 - 2/3*w**2 = 0.
-2, 1/2, 1
Suppose 2555*q**2 - 3537 + 20*q**5 - 445*q**4 + 867 + 920*q + 869 + 663 + 770*q**3 + 738 = 0. Calculate q.
-1, 1/4, 4, 20
Suppose -16*b + 11*b = -195. Let o = b + -35. Factor -4*l**3 + 11 - 11 + 0*l**4 + 2*l**o.
2*l**3*(l - 2)
Suppose 63 = -5*d - 4*u, -12*u + 17*u = -10. Let r(x) = -3*x**3 - 35*x**2 - 23*x - 11. Let m be r(d). Determine z so that -2/5*z + m*z**2 + 0 + 2/5*z**3 = 0.
-1, 0, 1
Suppose -4*b + 2*t + 40 = 0, -3*t + 2*t = 2. Let j be (231/45 + -5)/(2/b). Factor 9/5*i + j*i**2 + 0.
3*i*(i + 3)/5
Let n = 220/19 - 22133/1900. Let y = n + 8/25. Let 5/4*z**4 + 2*z**3 - 1/2*z + y*z**2 + 0 = 0. Calculate z.
-1, 0, 2/5
Let c(w) = -3*w**2 + 8*w - 26. Let m(z) = -13*z**2 + 33*z - 117. Let d(r) = -18*c(r) + 4*m(r). Suppose d(l) = 0. What is l?
0, 6
Let c(r) be the first derivative of -r**3/3 - 294*r**2 - 86436*r + 2082. Factor c(m).
-(m + 294)**2
Let u be (-4)/(330/(-102) - -3). Suppose -37*j + 40 = -u*j. Factor 0 - 1/6*s - 1/6*s**j.
-s*(s + 1)/6
Let g(v) be the second derivative of v**4/9 - 668*v**3/27 - 674*v**2/9 + v - 2436. Factor g(r).
4*(r + 1)*(3*r - 337)/9
Let b(z) = -9*z**2 - 8*z. Let q = 57 + -55. Let d(n) = n. Suppose 5 - 2 = 3*l. Let y(s) = l*b(s) + q*d(s). Find c such that y(c) = 0.
-2/3, 0
Let p(c) be the second derivative of 3*c**5/100 - 437*c**4/20 + 4796*c**3 - 71286*c**2/5 + 3046*c. Factor p(x).
3*(x - 218)**2*(x - 1)/5
Let o(x) be the third derivative of x**7/350 + 3*x**6/50 - 3*x**5/100 - 17*x**4/20 + 12*x**3/5 + 1008*x**2. Solve o(r) = 0.
-12, -2, 1
Factor 95481 + 1/4*m**2 + 309*m.
(m + 618)**2/4
Let w(i) be the first derivative of -4*i**5/5 + 138*i**4 - 17872*i**3/3 - 41748*i**2 + 100820*i - 2609. Let w(z) = 0. Calculate z.
-5, 1, 71
Factor -18391 - 18945 + 37726 + 395*t + 5*t**2.
5*(t + 1)*(t + 78)
Let k(v) be the third derivative of -2*v**5/15 - 427*v**4/24 - 53*v**3/2 + 13*v**2 - 12*v + 2. Factor k(z).
-(z + 53)*(8*z + 3)
Let q(b) be the third derivative of -b**5/20 + 245*b**4 - 480200*b**3 - 27*