, 1
Suppose 3*x - 15 = -0. Suppose 3*r - 15 = 0, x*r - 2*r = -4*f + 35. Solve -5*o**4 - 5 + 14*o + 2*o**f - 12*o**5 + 10*o**2 + 20*o**3 - 24*o = 0 for o.
-1, -1/2, 1
Let g(u) be the second derivative of u**6/10 - 183*u**5/20 + 117*u**4/4 + 61*u**3/2 - 177*u**2 - 27*u - 38. What is q in g(q) = 0?
-1, 1, 2, 59
Let w be (-2)/((-3 - (-141)/45)*-3). Suppose -2*y + 10 = 3*l, 0*l - w*l = 4*y - 18. Factor 3*u + 6 - 2*u**2 + l*u + 10 - u.
-2*(u - 4)*(u + 2)
Let i(b) = -7*b**2 + 246*b - 5039. Let v(s) = -5037 - 10*s**2 + 271*s + 2*s**2 - 25*s - s**2. Let f(a) = -3*i(a) + 2*v(a). Determine c so that f(c) = 0.
41
Let f(q) be the first derivative of -123*q**3 - 3*q**2 - 1790. Factor f(l).
-3*l*(123*l + 2)
Let x(h) = -5*h**2 - 474*h - 2977. Let d(p) = -15*p**2 - 1429*p - 8932. Let s(q) = -2*d(q) + 7*x(q). Factor s(u).
-5*(u + 7)*(u + 85)
Suppose -m + 24 = -5*h, -5*m + 4*h + 36 = -0*m. Let k(v) = -32*v + 52. Let g(f) = -f**2 + 29*f - 53. Let t(x) = m*g(x) + 5*k(x). Factor t(i).
-4*(i - 1)*(i + 12)
Let s(n) be the third derivative of -n**5/20 - 39*n**4/8 + 630*n**3 + n**2 - n + 6280. Let s(p) = 0. What is p?
-60, 21
Factor 4672/5 + 2/5*c**3 + 1176/5*c**2 + 936*c.
2*(c + 2)**2*(c + 584)/5
Let h(x) = 6*x**2 + 49*x + 119. Let i(b) = -b**2 - 10*b - 24. Let c(j) = 2*h(j) + 11*i(j). Let l be c(14). Solve v**2 - 9*v - 25 - 5*v**l + 3*v**2 + 19*v = 0.
5
Let u(j) = 70*j**2 + 1226*j + 414. Let f(g) = -10*g**2 - 175*g - 58. Let z(t) = -44*f(t) - 6*u(t). Factor z(k).
4*(k + 17)*(5*k + 1)
Let u(h) = 297*h - 2372. Let q be u(8). Solve 0*a + 48/7*a**3 + 0 + 288/7*a**2 + 2/7*a**q = 0 for a.
-12, 0
Let u be (5 - 1348/162*99/165)*1. Let t(o) be the third derivative of 0*o**3 - o**2 + 0*o - 1/18*o**4 + 0 + u*o**5. Factor t(c).
4*c*(c - 3)/9
Let o(a) = 41*a**2 - 20*a - 273. Let x(q) = -38*q**2 + 20*q + 260. Let h(w) = 13*o(w) + 14*x(w). Solve h(v) = 0.
-13, -7
Let d(b) be the first derivative of -b**6/24 - 44*b**5/5 - 2521*b**4/4 - 14460*b**3 + 102600*b**2 - 216000*b + 818. Determine n, given that d(n) = 0.
-60, 2
Let o(h) be the third derivative of -h**7/42 + 311*h**6/24 - 155*h**5/6 + h**2 + 614. Find s, given that o(s) = 0.
0, 1, 310
Let i(g) = -g**3 + 24*g**2 - 21*g - 37. Let q be i(23). Solve 33 + 111*c**2 + 3*c**3 - q*c**2 + 69*c - 63*c**2 = 0.
-11, -1
Let n be ((-2)/78)/((-9)/(-27) - 1). Let j(a) be the first derivative of 1/13*a**2 + 0*a**3 + 19 + 0*a - n*a**4. Factor j(p).
-2*p*(p - 1)*(p + 1)/13
Let r be -24 + (15 - 0) - (25/(-2) + 1). Find t, given that -17/2*t**3 + r*t + 29/2*t**2 - 3/2*t**4 - 7 = 0.
-7, -2/3, 1
Let m(t) = t**2 + 4*t + 36. Let i be m(-8). Let k = i - 66. Factor 10*a**3 - 14*a**3 + 10*a - 5*a**k - 3*a**2 - 2*a**3 + 4.
-2*(a - 1)*(a + 2)*(3*a + 1)
Let t = 2864/9765 + -54/217. Let b(k) be the first derivative of -1/9*k**2 - 1/27*k**6 + 10 + 1/9*k**4 - 4/27*k**3 + t*k**5 + 2/9*k. What is c in b(c) = 0?
-1, 1
Let l be ((4*6)/4)/(3/2). Suppose 0 = -5*t - c + 25, t + 4 = -l*c + 9. Find q such that -8 + 4*q - t*q**2 + 7*q**2 + 2*q**2 = 0.
-2, 1
Let r(s) = 33*s**3 - 1373*s**2 - 1985*s - 708. Let g(l) = -16*l**3 + 687*l**2 + 993*l + 354. Let z(x) = 9*g(x) + 4*r(x). Solve z(c) = 0.
-3/4, -2/3, 59
Let j(f) = f**2 - 17*f - 2. Let i be j(17). Let z(g) = g**3 + g**2 - g - 1. Let u(t) = 10*t**3 + 2*t**2 + 6*t - 18. Let r(x) = i*u(x) + 18*z(x). Factor r(o).
-2*(o - 3)**2*(o - 1)
Let d(b) be the third derivative of b**5/150 - 587*b**4/30 - 784*b**3/5 - 4858*b**2. Find z, given that d(z) = 0.
-2, 1176
Let h(g) be the third derivative of -g**7/2100 - 41*g**6/400 - 819*g**5/100 - 4851*g**4/20 + 18522*g**3/5 + 3046*g**2. Find v, given that h(v) = 0.
-42, 3
Let j = -285 - -290. Suppose -2*f - 2*f = -4*l - 28, j*l = 2*f - 26. Factor -u + 1/2*u**4 + u**f - 1/2*u**2 + 0.
u*(u - 1)*(u + 1)*(u + 2)/2
Let u(m) be the second derivative of m**4/21 - 60*m**3/7 + m + 1064. Solve u(l) = 0 for l.
0, 90
Let z be -15 + 657/45 - (-23)/20. Let a(s) be the third derivative of -1/80*s**5 + 5/32*s**4 + 0 + 5*s - z*s**3 + 3*s**2. Factor a(x).
-3*(x - 3)*(x - 2)/4
Factor 0 + 0*g + 2/3*g**3 + 56/3*g**4 - 4/3*g**2.
2*g**2*(4*g - 1)*(7*g + 2)/3
Let x be (-1350)/(-84)*262/655. Solve x*l + 48/7 - 3/7*l**2 = 0.
-1, 16
Let j be (44/(-7))/(5/(-23 + -12)). Factor 32*c**2 - 60*c + 23*c**2 + 8*c**4 + 32*c**2 - 79*c**2 + j*c**3.
4*c*(c - 1)*(c + 5)*(2*c + 3)
Suppose -30*d + 121 + 29 = 0. Let s be -2 + 5/d - (-85)/25. Solve 0 + 6/5*h**2 + s*h = 0.
-2, 0
Let f(n) = n**2 - 67*n - 251. Let g(i) = i**2 - 54*i - 249. Let u(x) = 2*f(x) - 3*g(x). Factor u(d).
-(d - 35)*(d + 7)
Suppose -432 = -72*r - 125 + 125. Let g(z) be the second derivative of 1/3*z**3 + 0 - 1/2*z**4 - 1/15*z**r - 2*z + 0*z**2 + 3/10*z**5. Factor g(b).
-2*b*(b - 1)**3
Suppose -10*x = l - 7*x + 518, -4*l - 4*x = 2096. Let g = -1580/3 - l. Factor 4*s + 13/3*s**2 + 4/3 + 2*s**3 + g*s**4.
(s + 1)**2*(s + 2)**2/3
Suppose -6*x + 895 = -x. Let r = -536/3 + x. Factor r*w + 1/6 + 1/6*w**2.
(w + 1)**2/6
Let u = -263 - -267. Factor -17*o + 24*o + 25*o**5 - 7*o - u*o**4 - 12*o**2 - 21*o**5 - 20*o**3.
4*o**2*(o - 3)*(o + 1)**2
What is a in 0 + 31/5*a**3 + 4*a - 88/5*a**2 + 4/5*a**4 = 0?
-10, 0, 1/4, 2
Let g(u) be the first derivative of -u**3/9 + 98*u**2/3 + 1290. Find l such that g(l) = 0.
0, 196
Let p be (-1)/(2 + 2 + (-9)/2). Let b(a) = -a**2 - 5*a + 1. Let o be b(-4). Find k such that -462*k**4 + 466*k**4 + 2*k**p - 4*k**o - 5*k**3 + 3*k**5 = 0.
0, 1, 2
Let c(u) be the first derivative of -3*u**4/20 + 28*u**3/5 - 459*u**2/10 + 378*u/5 - 7646. What is j in c(j) = 0?
1, 6, 21
Let v(s) be the first derivative of 150*s + 1/2*s**3 + 15*s**2 + 44. Determine x, given that v(x) = 0.
-10
Let g(d) = 4*d**3 - 744*d**2 + 33852*d + 4. Let r(p) = 2*p**2 + p - 1. Let l(x) = g(x) + 4*r(x). Factor l(y).
4*y*(y - 92)**2
Let t(z) = 3*z**3 + 82*z**2 + 12*z + 50. Let h be t(-27). Let 85*y**2 + 1721 + h*y + 5*y**3 + 1851 - 2837 = 0. What is y?
-7, -3
Let i(x) be the first derivative of -16 + 14/27*x**3 + 1/9*x**2 + 0*x + 1/3*x**4. Find h, given that i(h) = 0.
-1, -1/6, 0
Let l = 549 + -546. Factor -287*o - 290*o + 577*o - 5*o**3 + 3*o**5 - 7*o**l.
3*o**3*(o - 2)*(o + 2)
Let j(p) = 2*p**2 - 151*p + 642. Let z be j(71). Let d(u) be the first derivative of -1/12*u**z - 1 + 1/2*u**2 - 1/4*u**4 + 1/4*u. Factor d(l).
-(l - 1)*(l + 1)*(4*l + 1)/4
Suppose -12*w + 11*w = -616. Let t = 618 - w. Factor -4 + 4/3*v**t - 8/3*v.
4*(v - 3)*(v + 1)/3
Let f(i) = -5*i**2 + 1. Let j(q) = -12*q**2 + 130*q + 702. Let v(g) = 4*f(g) - 2*j(g). Factor v(h).
4*(h - 70)*(h + 5)
Factor 220/3*n**3 + 4/9*n**4 + 12100/3*n**2 + 665500/9*n + 0.
4*n*(n + 55)**3/9
Let s(l) = 8*l**3 - 1802*l**2 - 3*l + 1867. Let t(p) = -20*p**3 + 4512*p**2 + 8*p - 4668. Let y(r) = -12*s(r) - 5*t(r). Determine x so that y(x) = 0.
-1, 1, 234
Let g(h) be the first derivative of 5*h**3/12 - 155*h**2/4 + 4485*h/4 + 6648. Factor g(m).
5*(m - 39)*(m - 23)/4
Solve 1/7*s**5 + 240/7 - 2*s**4 - 111/7*s**3 + 68/7*s - 184/7*s**2 = 0 for s.
-3, -2, 1, 20
Let x(y) = y**3 + 4*y**2 + y + 1. Let d(c) = 21*c**3 + 129*c**2 + 66*c - 90. Let m(o) = d(o) - 18*x(o). Determine g so that m(g) = 0.
-18, -2, 1
Let b(c) be the second derivative of c**9/10080 - c**8/1344 + c**7/630 - 103*c**4/12 + 15*c + 4. Let i(y) be the third derivative of b(y). Factor i(s).
s**2*(s - 2)*(3*s - 4)/2
Let r(x) be the third derivative of 6*x + 0*x**7 + 0 + 3*x**2 - 3/2*x**3 + 19/16*x**4 - 1/672*x**8 - 31/60*x**5 + 1/10*x**6. Find y such that r(y) = 0.
-6, 1, 3
Suppose 12 = -2*w - 4*h, 3*h = -2*w + w - 10. Suppose -5*c - 10 = v, 5*v - w*c = 2 + 2. Let 0*y**3 + 0*y + 0*y**2 - 1/8*y**5 + 1/4*y**4 + v = 0. What is y?
0, 2
Let q = -69 + 57. Let x be q/(9/8*(-20)/24). Factor -x*c - 4/5*c**3 + 0 - 32/5*c**2.
-4*c*(c + 4)**2/5
Suppose 11*j + p - 10 = -9, 5*j - 3 = -3*p. Let i(s) be the second derivative of -19*s - 3/4*s**5 + 1/6*s**6 + 0*s**2 + 5/6*s**4 + 0 + j*s**3. Factor i(g).
5*g**2*(g - 2)*(g - 1)
Suppose -h - 2*n - 193 = 0, 4*h + 229 = -5*n - 534. Let l be h/(-34) - (-1 - -3 - -2). Factor -l*g**3 + 0 - 3/4*g**4 + 0*g - 3/4*g**2.
-3*g**2*(g + 1)**2/4
Factor -1/2*d**2 - 931*d - 866761/2.
-(d + 931)**2/2
Let -736/11 - 104/11*u**2 + 2/11*u**3 + 568/11*u = 0. Calculate u.
2, 4, 46
Let u(n) be the third derivative of 5929*n**5/15 + 385*n**4/3 + 50*n**3/3 - 3478*n**2. What is 