 + 10 = 0.
2/3, 1, 2
Suppose -5*f + 4*d = -9, -1 = 5*d + 4. Let k be (f - 6)*4/(-10). Determine b, given that -14*b**3 + 0*b + 16*b**3 - k*b = 0.
-1, 0, 1
Let o be 33/3 - (1 - -4). Let f(r) be the second derivative of 0*r**2 + 0*r**o + 0 + 0*r**4 - 10*r - 1/2*r**3 - 1/14*r**7 + 3/10*r**5. What is s in f(s) = 0?
-1, 0, 1
Let x = 131 + -392/3. Let f(j) be the first derivative of -x*j**3 + 1/8*j**4 + 5 + 0*j + 1/4*j**2. Find g, given that f(g) = 0.
0, 1
Let x(p) be the third derivative of -3*p**6/280 + p**5/70 + 3*p**4/14 - 4*p**3/7 + 57*p**2. Factor x(r).
-3*(r - 2)*(r + 2)*(3*r - 2)/7
Let m(o) be the second derivative of o**6/120 - o**5/20 - 6*o**2 + 9*o. Let x(q) be the first derivative of m(q). Suppose x(v) = 0. What is v?
0, 3
Let h be (-2)/3*61/(-122). Let n(b) be the second derivative of 2/15*b**6 + 1/10*b**5 + 9*b + 0*b**2 + 0*b**3 - 1/21*b**7 - h*b**4 + 0. Let n(t) = 0. What is t?
-1, 0, 1, 2
Let p(o) be the first derivative of o**3/9 + 17*o**2/6 + 10*o + 53. Suppose p(b) = 0. What is b?
-15, -2
Solve 6*w**4 - 4 - 2*w**4 - 5*w**4 + 5*w**2 = 0.
-2, -1, 1, 2
Suppose 0 = -3*g + 5*g - 3*j + 8, 8 = -4*g + 4*j. Suppose -n - g*n + 9 = -3*m, m = -1. Factor -s**n - 5*s**2 + 4 - 6*s + 5*s**2 + 3*s**2.
2*(s - 2)*(s - 1)
Let x be 1 - 2/6 - (-31494)/11403. Factor -12/7*s**3 - 8/7 - 26/7*s**2 - x*s - 2/7*s**4.
-2*(s + 1)**2*(s + 2)**2/7
Let l(s) be the first derivative of 3*s**5/5 - 3*s**4 + 3*s**3 + 36. Factor l(q).
3*q**2*(q - 3)*(q - 1)
Let b(f) be the first derivative of 10 + 4/3*f**2 + 0*f - 7/3*f**4 - 20/9*f**3. Factor b(s).
-4*s*(s + 1)*(7*s - 2)/3
Solve -36*h**3 - 8 + 80*h**3 - 6*h - 6*h - 40*h**3 = 0.
-1, 2
Let x(v) be the first derivative of 2*v**5/55 - 5*v**4/11 + 24*v**3/11 - 54*v**2/11 + 54*v/11 - 51. Suppose x(a) = 0. Calculate a.
1, 3
Let g(s) = 18*s**2 - 5*s + 5. Let x(t) = -8*t**2 + 2*t - 2. Let q(h) = 2*g(h) + 5*x(h). Factor q(j).
-4*j**2
Let 66/5*y - 1/5*y**2 - 1089/5 = 0. What is y?
33
Let u = 9501 + -66501/7. Find m such that 0 - u*m + 4/7*m**2 + 2/7*m**3 = 0.
-3, 0, 1
Let l be 20/(-80) - (-105)/60. Factor -105/2*x + 147/2 - 39/2*x**2 - l*x**3.
-3*(x - 1)*(x + 7)**2/2
Suppose -2*o = 4*i - 16, -2*i = -0*i + 2*o - 12. Suppose -5*g = -m - 10, -19 = -4*m + g - i. Let -3*q**5 - q**5 - 2*q**3 + 6*q**m + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let y(p) be the first derivative of -3 - 4/11*p**2 + 0*p - 8/33*p**3 - 1/22*p**4. Let y(g) = 0. What is g?
-2, 0
Factor 74*f + 3*f**2 + 1 + 23 - f**2 + 48.
2*(f + 1)*(f + 36)
Suppose -m = 4*f - 73, -16 = -2*f + 2*m + 18. Let q = f + -16. Factor r**2 - 3 + q + 6*r - 6*r.
(r - 1)*(r + 1)
Let m be ((2 - 4) + 2)/(-2). Let n be 1 - (-1 - m) - -12. Factor 2*a**2 + n + 12*a - 1 + 5.
2*(a + 3)**2
Let b(s) be the first derivative of s**6/2 + 36*s**5/5 - 21*s**4 + 309. Solve b(x) = 0.
-14, 0, 2
Let z be 4/(-11) - (-6)/11. Suppose 10/11*h + z*h**2 + 8/11 = 0. What is h?
-4, -1
Let q(x) be the second derivative of -x**6/60 - x**5/10 + 4*x**3/3 - 3*x**2/2 - 2*x. Let o(d) be the first derivative of q(d). Factor o(n).
-2*(n - 1)*(n + 2)**2
Determine m so that 11*m - 21*m**3 - 95174*m**4 + 12*m**2 + 95144*m**4 - 9*m**5 - 6*m + 7*m = 0.
-2, -1, 0, 2/3
Let 3*o**2 + 20*o - 5*o**2 + 0*o**2 + 0*o**2 = 0. Calculate o.
0, 10
Suppose i + 9 = -15. Let l be i/(-18) - 4/3. Factor -48*f - f**3 + l*f**3 + 10 - 42 - 24*f**2 - 3*f**3.
-4*(f + 2)**3
Let k be (40/3)/4*-3. Let s be (-363)/(-9)*(-15)/k. Factor 24*c**2 + s*c**4 - 2*c - 165/2*c**3 + 0.
c*(c - 1)*(11*c - 2)**2/2
Suppose 3*v - 2*v + 16 = -5*o, 4 = -4*v - 5*o. Factor -8*w**2 - 8*w**3 - 14 + v*w**5 + 4*w**4 + 0*w**2 + 18 + 4*w.
4*(w - 1)**2*(w + 1)**3
Let q(x) be the second derivative of -5*x + 4/7*x**2 + 0 - 13/14*x**4 + 27/70*x**5 + 8/21*x**3. Determine n so that q(n) = 0.
-2/9, 2/3, 1
Factor 6/11*c**3 + 90*c + 168/11*c**2 - 2700/11.
6*(c - 2)*(c + 15)**2/11
Let r(m) be the first derivative of -2/27*m**3 + 9 + 1/9*m**2 + 8*m + 1/54*m**4. Let q(p) be the first derivative of r(p). Solve q(a) = 0 for a.
1
Let i(t) = 16*t**2 + 8*t + 8. Suppose -2*s - 7 - 1 = 0. Let x(c) = c**3 - 17*c**2 - 7*c - 9. Let v(b) = s*x(b) - 5*i(b). Factor v(d).
-4*(d + 1)**3
What is x in -7/5*x**3 + 8/5*x**2 + 0 - 1/5*x**4 + 0*x = 0?
-8, 0, 1
Let k(a) be the first derivative of a**6/12 + 39*a**5/5 + 1521*a**4/8 - 331. Factor k(v).
v**3*(v + 39)**2/2
Solve 0 - 24/7*d**2 + 2/7*d**5 - 12/7*d**4 + 8/7*d + 26/7*d**3 = 0.
0, 1, 2
Let d(y) be the second derivative of 0*y**3 - 3/70*y**5 + 0*y**2 + 1/84*y**4 + 4/105*y**6 + 0 - 11*y. What is c in d(c) = 0?
0, 1/4, 1/2
Let w(a) be the first derivative of 172*a**3/21 - 82*a**2/7 - 8*a/7 + 35. Find p such that w(p) = 0.
-2/43, 1
Factor 138*f**4 + f**5 + 0*f**5 - 129*f**4 + 6*f + 23*f**2 + 21*f**3 - 4*f**2.
f*(f + 1)**3*(f + 6)
Let n = 543/2 - 270. Let p(u) be the second derivative of -5/6*u**3 - 7/36*u**4 - n*u**2 + 5*u - 1/60*u**5 + 0. Factor p(q).
-(q + 1)*(q + 3)**2/3
Suppose -1212*z = -1209*z - 15. Let j(l) be the second derivative of 1/2*l**2 + 1/6*l**3 + 0 + 1/16*l**z - 3*l - 13/48*l**4. Factor j(t).
(t - 2)*(t - 1)*(5*t + 2)/4
Let h be (-80)/14 - ((-8)/14)/(-2). Let o be -4*(-2)/h*2/(-8). Suppose 0 - 1/3*j**2 + 0*j + 0*j**3 + o*j**4 = 0. What is j?
-1, 0, 1
Let o(q) = 5*q**3 - 4*q**2 - 6*q - 6. Let g(m) = -70*m**3 + 55*m**2 + 85*m + 85. Let t(d) = 6*g(d) + 85*o(d). Find c such that t(c) = 0.
0, 2
Let c(p) be the first derivative of p**4 + 32*p**3/3 - 88*p**2 + 192*p - 405. Factor c(i).
4*(i - 2)**2*(i + 12)
Let p(b) be the third derivative of 13/6*b**4 + 7/30*b**6 + 0*b + b**5 - 2*b**2 + 2/105*b**7 + 8/3*b**3 + 0. Find m, given that p(m) = 0.
-4, -1
Let p(s) be the third derivative of s**5/16 + 3*s**4/2 + 43*s**3/8 - 3*s**2 - 40. Factor p(o).
3*(o + 1)*(5*o + 43)/4
Suppose s = -2*t + 11, 3*t - 35 = -2*t - s. Let u be (2/t)/(117/312). Solve -1/3*q**4 + 4/3*q**3 - 5/3*q**2 + u*q + 0 = 0.
0, 1, 2
Let c be (-4 + 22)/((-104)/(-78)). Factor 45/4*d + 9/4*d**3 + 12*d**2 - c.
3*(d + 3)**2*(3*d - 2)/4
Let j(f) be the first derivative of -3*f**4/4 + 9*f**3 - 21*f**2 - 55. What is v in j(v) = 0?
0, 2, 7
Let -3/4*w**3 + 3675/4 - 3465/4*w - 207/4*w**2 = 0. What is w?
-35, 1
Let z(q) = -4*q**4 - 65*q**3 + 205*q**2 - 235*q + 90. Let c(x) = 7*x**4 + 65*x**3 - 205*x**2 + 235*x - 90. Let o(l) = -3*c(l) - 4*z(l). Factor o(n).
-5*(n - 9)*(n - 2)*(n - 1)**2
Let i be (-1 - (-10)/4)/(9/(-12)). Let b be 2/4 - (5 - (-9)/i). Factor b + 1/4*a + 1/4*a**3 + 1/2*a**2.
a*(a + 1)**2/4
Factor -2/3*o**2 + 16/3*o + 6.
-2*(o - 9)*(o + 1)/3
Let s = -125 - -113. Let o be ((-3)/(-2))/(s/(-16)). Factor 1/5*i**4 + 0*i + 0*i**o - 1/5*i**3 + 0.
i**3*(i - 1)/5
Let g(x) be the second derivative of 2*x**7/21 + 22*x**6/15 + 39*x**5/5 + 15*x**4 - 106*x. Suppose g(m) = 0. Calculate m.
-5, -3, 0
Suppose -74 = -4*q + 5*n + 31, 10 = q + 2*n. Factor q*x + 49*x**2 + 21 - 54*x**2 + 4.
-5*(x - 5)*(x + 1)
Find q, given that 18*q + 2*q + 59*q**5 - 358 - 4*q**4 - 24*q**3 - 8*q**2 + 370 - 55*q**5 = 0.
-1, 1, 3
Let f(b) be the second derivative of 113/12*b**4 + 38*b + 0 + 23/2*b**3 - 3/5*b**5 + 5*b**2. Let f(j) = 0. What is j?
-1/3, -1/4, 10
Let b(d) = -d**2 + 8*d - 14. Let o be b(4). Find u such that 16*u**2 - 19*u**2 + 9*u**2 - 4*u + 2*u**3 - 6*u**4 + o*u**5 = 0.
-1, 0, 1, 2
Suppose -4 - 2*p**2 + 26 - 8 - 12*p = 0. What is p?
-7, 1
Suppose -3*l + 5*g - 10 = 0, -5*l + 2 = g - 0. Suppose l*a + 5*c = 5*a - 35, 2*a = -2*c - 6. Factor -2/5*w**3 - 4/5*w + 0 + 6/5*w**a.
-2*w*(w - 2)*(w - 1)/5
Let r = -2728 - -2732. Factor 0 + 2/23*l**r + 24/23*l**2 - 16/23*l - 12/23*l**3.
2*l*(l - 2)**3/23
Let l(k) be the second derivative of k**6/225 - k**5/75 + k**4/90 + 348*k. Let l(a) = 0. What is a?
0, 1
Let d(q) = 2*q**2 - q - 5. Let t be d(-2). What is u in -29*u**t - 22*u**5 + 57*u**5 + 40*u**3 - 27*u**2 - 27*u**4 + 6*u + 2*u**3 = 0?
0, 1/2, 1, 2
Factor 40895*l**2 - 40863*l**2 - 2*l**4 - 12*l - 7*l**4 - 15*l**3.
-l*(l + 3)*(3*l - 2)**2
Let w(s) = 5*s**2 - 993*s - 994. Let l be w(-1). Factor 2/9*k**2 + 0 - 2/9*k**l + 2/9*k**3 - 2/9*k**5 + 0*k.
-2*k**2*(k - 1)*(k + 1)**2/9
Suppose q + 83 = 5*a + 65, -2*q - 4*a = -20. Factor -1/2*c**q - 1/2*c + 0.
-c*(c + 1)/2
Let r(d) be the second derivative of -d**8/23520 - d**7/2940 + d**6/2520 + d**5/140 - 7*d**4/6 + 19*d. Let l(p) be the third derivative of r(p). Factor l(u).
-2*(u - 1)*(u + 