 67/6*b**2 - 363/2 = 0.
-33, -1
Suppose -2*b = 5*b - 63. Let n = -25/3 + b. Factor 0*c - n + 2/3*c**2.
2*(c - 1)*(c + 1)/3
Let g = 0 + 2. Let a be 30/8 + (54/(-8) - -7). Find t, given that 2*t**2 - 4 + 2*t**4 - a*t**g + 4 = 0.
-1, 0, 1
Suppose 5*k - j = 24, -3*k = j - 11 + 3. Suppose -3*n + 15 = -w + 2*n, -3*n + 9 = -k*w. Find i, given that 0 + w*i**2 + 2/3*i**3 - 2/3*i = 0.
-1, 0, 1
Let y(l) be the first derivative of 0*l**3 - 3 + 1/8*l**4 + 1/15*l**5 + 0*l + l**2 + 1/120*l**6. Let z(w) be the second derivative of y(w). Factor z(b).
b*(b + 1)*(b + 3)
Let f be 15/5*(-2 - 32/(-12)). Suppose -3*i = i. Factor -q**2 + i*q**2 + 3*q**3 - f*q**2.
3*q**2*(q - 1)
Let w(y) be the second derivative of y**4/48 - 25*y**3/12 + 625*y**2/8 - 123*y. Determine a so that w(a) = 0.
25
Factor -47/4*a + 1/4*a**2 + 23/2.
(a - 46)*(a - 1)/4
Suppose -76/7*i**2 - 2*i**4 + 122/7*i**3 - 32/7*i + 0 = 0. Calculate i.
-2/7, 0, 1, 8
Let m = -7/138 + 38/69. Factor -m*t**2 + 1/2*t**4 - 1/2*t + 1/2*t**3 + 0.
t*(t - 1)*(t + 1)**2/2
Let p(c) = -c**3 - 3*c**2 - 2*c + 2. Let f be p(-2). Factor -5*w**2 + 12*w**4 - 6*w**3 + 6*w**4 - 3*w**f - 2*w**2 - 2*w.
2*w*(w - 1)*(3*w + 1)**2
Let c be (((-30)/32*-8)/1)/(54/64). Find x, given that 0 - 4/9*x + 26/9*x**2 - 2*x**3 - c*x**4 - 32/9*x**5 = 0.
-2, -1, 0, 1/4
Let u(i) be the second derivative of i**4/12 - 17*i**3/2 + 49*i. Suppose u(b) = 0. What is b?
0, 51
Let i(t) = t + 9. Let c be i(-4). Suppose -n + 4*x = 2*x, -x = c*n. Suppose -6 - 2*q + 3 + n - 4*q - 3*q**2 = 0. What is q?
-1
Let q(b) be the first derivative of b**6/24 + 3*b**5/20 - 3*b**4/8 - 13*b**3/6 - 27*b**2/8 - 9*b/4 - 95. Let q(f) = 0. What is f?
-3, -1, 3
Let q(v) be the second derivative of 27*v**5/50 - 73*v**4/20 + 38*v**3/5 - 6*v**2/5 + 59*v. Factor q(r).
3*(r - 2)**2*(18*r - 1)/5
Let g(v) = v**2 + 4*v. Let a(y) = 10*y**2 + 124*y + 1936. Let w(z) = -4*a(z) + 36*g(z). Suppose w(m) = 0. What is m?
-44
Let l = 30277/1582 + -134/7. Let r = 893/2486 - l. Find x, given that -6/11*x**2 + 0 - r*x - 2/11*x**3 = 0.
-2, -1, 0
Let z(t) be the second derivative of -t**5/40 + 5*t**4/8 - 121*t. Factor z(p).
-p**2*(p - 15)/2
Let b(n) = -n**2 + 48*n + 4. Let q(j) = j**2 - 96*j - 10. Let i(s) = 5*b(s) + 2*q(s). Suppose i(m) = 0. Calculate m.
0, 16
Determine t, given that -1/3*t**2 + 2/3*t + 0 + 1/3*t**4 + 1/3*t**5 - t**3 = 0.
-2, -1, 0, 1
Let k(v) be the third derivative of 5*v**2 + 0 + 0*v**4 + 0*v**7 - 1/15*v**5 + 1/20*v**6 - 1/168*v**8 + 0*v**3 + 0*v. Factor k(d).
-2*d**2*(d - 1)**2*(d + 2)
Let h(l) be the first derivative of 3 - 6/5*l**3 + 24/5*l - 3/25*l**5 + 3/4*l**4 - 6/5*l**2. Determine x, given that h(x) = 0.
-1, 2
Let y(g) = -2*g + 13. Let d be y(6). Suppose 2*w + d = -3*b - 0*b, 5*w - b - 23 = 0. Solve -5 + 2 + w*r**2 - 1 = 0.
-1, 1
Let g(j) be the first derivative of -10/3*j**3 - 11 - 35/2*j**2 + 5/4*j**4 - 20*j. Factor g(h).
5*(h - 4)*(h + 1)**2
Let x(w) be the first derivative of -5*w**3/3 + 25*w**2/2 + 219. Factor x(k).
-5*k*(k - 5)
Let j = -13 - -15. Determine z so that 3*z - z**j + 2*z + z - 4*z = 0.
0, 2
Let f(w) be the third derivative of -w**8/1344 + 2*w**7/105 - 7*w**6/120 - w**5/120 + 29*w**4/96 - 7*w**3/12 + 79*w**2 + 1. Suppose f(l) = 0. Calculate l.
-1, 1, 14
Let d(t) = t**3 + t**2 + 1. Let s(m) = m**4 + 6*m**3 + 5*m**2 - 4*m - 2. Let i be (-85)/68 - (-6)/(-8). Let r(y) = i*d(y) + s(y). Suppose r(l) = 0. Calculate l.
-2, -1, 1
Factor 9*u**2 + 1/5*u**4 + 0 - 12/5*u**3 - 10*u.
u*(u - 5)**2*(u - 2)/5
Suppose 64202*l = 64192*l + 40. Suppose y**l + 29/4*y + 6*y**3 + 45/4*y**2 + 3/2 = 0. What is y?
-3, -2, -1/2
Let r(b) be the second derivative of 5*b**4/12 + 29*b**3/6 + 8*b**2 - 9*b. Let z(i) = -10*i**2 - 57*i - 33. Let h(t) = -7*r(t) - 4*z(t). Factor h(x).
5*(x + 1)*(x + 4)
Let h(b) be the second derivative of b**6/120 + b**5/4 + 3*b**4/8 - 5*b**3/6 - 19*b**2/8 - 2*b - 111. Find k such that h(k) = 0.
-19, -1, 1
Let b(n) be the first derivative of -n**6/840 + n**5/84 - n**4/24 + n**3/14 - 2*n**2 + 9. Let k(z) be the second derivative of b(z). Factor k(x).
-(x - 3)*(x - 1)**2/7
Let a be ((-6)/(-5))/((-9)/(-30)). Suppose 0 = 2*i + a*q + 6, 0 = -0*i - 4*i + 2*q + 18. Factor -4*v - 5*v - i*v + 8*v + 2*v**2.
2*v*(v - 2)
Let g = -11338/5 + 2268. Determine r so that g*r**2 + 8/5*r + 8/5 = 0.
-2
Let p(h) = 10*h**2 + 6*h. Let k(j) = 8*j**2 + 5*j. Let s(q) = 6*k(q) - 5*p(q). Factor s(z).
-2*z**2
Let a be (-8)/(-20) + 47774/90. Let v = 533 - a. Determine w, given that 8/9 - 10/9*w**2 - v*w = 0.
-2, 2/5
Let f(u) be the first derivative of 2*u**3/27 - 11*u**2/9 - 8*u/3 + 373. Factor f(d).
2*(d - 12)*(d + 1)/9
Factor 13*y - 4 - 4*y**2 - 2 - 8*y - 14*y + y**2.
-3*(y + 1)*(y + 2)
Let c(b) be the second derivative of b**7/378 - b**6/90 - 17*b**5/180 + 13*b**4/36 - 10*b**3/27 - 389*b + 1. Factor c(g).
g*(g - 5)*(g - 1)**2*(g + 4)/9
Let z(y) = 2*y**2 - 10*y + 3. Let h be z(5). Solve 2*m**h + 3*m**5 + 4*m**5 - 5*m**5 - 3*m**4 - m**5 = 0.
0, 1, 2
Let p(o) be the second derivative of -21 + 5/4*o**4 - 10/3*o**2 + 5/21*o**7 - o + 20/9*o**3 - 7/18*o**6 - 4/3*o**5. Let p(g) = 0. What is g?
-1, 1/2, 2/3, 2
Let q(p) = -10*p**2 + 342*p + 14106. Let s(d) = 8*d**2 - 341*d - 14107. Let r(u) = 5*q(u) + 6*s(u). Find l such that r(l) = 0.
-84
Factor 0 - 17/2*q - 1/4*q**2.
-q*(q + 34)/4
Find d, given that 71*d**3 + 936*d + 94*d**3 + 708*d**2 + 45*d**4 + 480 + 3*d**5 + 93*d**3 = 0.
-5, -4, -2
Let m(r) be the second derivative of r**7/273 + 8*r**6/195 - 29*r**5/65 + 44*r**4/39 - r**3 - 53*r - 1. Suppose m(i) = 0. Calculate i.
-13, 0, 1, 3
Factor 4*b**3 + 44*b**2 + 76*b - 97 - 50 + 183.
4*(b + 1)**2*(b + 9)
Let i = 139553/8 + -17444. Let i*m**2 + 3/8*m + 0 = 0. What is m?
-3, 0
Let c be -10*(-12)/8*(-56)/(-2310). Determine z so that 0 - c*z**3 + 0*z + 0*z**2 + 10/11*z**4 = 0.
0, 2/5
Let o = 1235 - 1233. Let z(f) be the second derivative of 1/27*f**3 + 0 + 1/54*f**4 - 1/135*f**6 - 2*f + 0*f**o - 1/90*f**5. Determine y, given that z(y) = 0.
-1, 0, 1
Suppose -4*b - b + 40 = 0. Let -6*f + 3*f**2 - f**2 + b - 2*f = 0. Calculate f.
2
Factor -8/11*f**4 - 8/11*f + 2/11*f**3 + 2/11*f**5 + 20/11*f**2 - 16/11.
2*(f - 2)**3*(f + 1)**2/11
Factor 1/5*z**4 - 3*z**3 + 84*z + 4/5*z**2 + 80.
(z - 10)**2*(z + 1)*(z + 4)/5
Factor -35/2*j + 0 - 1/4*j**3 + 37/4*j**2.
-j*(j - 35)*(j - 2)/4
Suppose k + 0*k + 8 = 0. Let y be -12*((-12)/k)/(-3). Suppose 3*n**3 - 2*n**2 + y*n**2 - n**2 = 0. Calculate n.
-1, 0
Let c(r) = 10*r**3 + 60*r**2 + 56*r + 6. Let j(h) = -49*h**3 - 299*h**2 - 279*h - 29. Let o(d) = 11*c(d) + 2*j(d). Factor o(p).
2*(p + 1)*(p + 4)*(6*p + 1)
Suppose 0 = -12*q - 7*q - 0*q. Suppose 4*a**2 - 35*a**5 + 185*a**3 + q*a**4 + 101*a**4 - 16*a - 29*a**3 = 0. Calculate a.
-1, -2/5, 0, 2/7, 4
Let f = -1449 + 1452. Let n(l) be the first derivative of -f*l**4 + 0*l**2 + 4/5*l**5 + 0*l + 4 + 8/3*l**3. Factor n(t).
4*t**2*(t - 2)*(t - 1)
Let f be ((3 + -3)*3/6)/2. Let l(k) be the third derivative of 0*k**5 + 0 + f*k**3 - 1/210*k**7 + 0*k**6 + 0*k**4 - 3*k**2 + 0*k. Factor l(q).
-q**4
Let s(p) be the first derivative of -p**6/360 - p**5/60 + p**4/8 + 11*p**3/3 - 8. Let d(j) be the third derivative of s(j). What is t in d(t) = 0?
-3, 1
Let c = 72539/7 + -10361. Let -34/7*o - 6/7*o**3 + 4*o**2 + c = 0. What is o?
2/3, 1, 3
Let o be (-44)/55*5/(-2). Let q be o/36*2/3*6. Solve -4/9*p**2 - 4/9*p**3 + 2/3*p**4 - q*p**5 + 2/3*p - 2/9 = 0 for p.
-1, 1
Let h = -13 + 13. Find f, given that 6*f + 28 + h*f**3 - 30 - 6*f**2 + 2*f**3 = 0.
1
Let a(s) be the third derivative of -2/75*s**5 + 19/30*s**4 - 6/5*s**3 + 0 + 0*s - 10*s**2. Factor a(r).
-4*(r - 9)*(2*r - 1)/5
Let u(s) = s - 9. Let i be u(11). Let n(x) = 3 - 2*x**3 - x**2 + x**i - x**2. Let j(c) = c**2 - 1. Let q(w) = 6*j(w) + 2*n(w). Suppose q(f) = 0. Calculate f.
0, 1
Let z be 104/(-16) + (2 - 6). Let k = z + 71/6. Solve 0 - 4/3*g - 2/3*g**4 + k*g**3 + 2/3*g**2 = 0.
-1, 0, 1, 2
Let m(j) be the second derivative of -j**5/10 + 4*j**4/3 + 19*j**3/3 + 10*j**2 + 85*j. Determine a so that m(a) = 0.
-1, 10
Let b be (23 - 5) + -3 - (1 + -1). Factor 6 + 94*c**2 + 15*c**3 - 99*c**2 + 4 - 5*c**4 - b*c.
-5*(c - 2)*(c - 1)**2*(c + 1)
Let j(t) be the second derivative of t**6/6 - 5*t**5/4 + 5*t**4/4 + 25*t**3/6 - 10*t**2 + 96*t - 2. Let j(d) = 0. Calculate d.
-1, 1, 4
Let p(f) be the first deriv