/4 + 12*b**3 + 6*b**2 - 48*b + 98. Let p(q) = 0. What is q?
-1, 2, 4
Let p be 2/(7*(-4)/(-28)). Let -16/5*g - 2/5*g**p - 32/5 = 0. Calculate g.
-4
Let k be (-4 - 1) + 8 + -16 + 1. Let r be 3/12 - (-1 + 1/k). Factor 0*h + 0*h**2 - 14/3*h**5 - r*h**4 + 0*h**3 + 0.
-2*h**4*(7*h + 2)/3
Let d(b) = 10*b**2 - 6*b - 6. Let h(o) = -50*o**2 + 32*o + 29. Let f(q) = 11*d(q) + 2*h(q). Solve f(a) = 0 for a.
-4/5, 1
Let 1/2*r**3 + 24025/2 - 309/2*r**2 + 23715/2*r = 0. Calculate r.
-1, 155
Suppose -2*t + 0*t = -6. Suppose -b = -t*b. Factor 2*k + 7*k**2 - 5*k**2 + b*k.
2*k*(k + 1)
Factor 110*l**2 + 2*l**2 + 2 + 102*l**2 - 342*l**2 + 126*l.
-2*(l - 1)*(64*l + 1)
Determine v so that 0*v**2 + 140*v - 32*v + 258 + 15*v + 3*v**2 - 6*v**2 = 0.
-2, 43
Let n(m) be the third derivative of -34*m**2 - 3/350*m**7 + 0 + 1/8*m**4 - 1/40*m**6 + 1/20*m**5 + 0*m - 1/5*m**3. Let n(y) = 0. What is y?
-2, -1, 1/3, 1
Let o(u) be the second derivative of 5*u**9/3024 - 5*u**8/336 + u**7/28 - 5*u**3/3 - 19*u. Let x(a) be the second derivative of o(a). Find i such that x(i) = 0.
0, 2, 3
Suppose 2*b + n - 58 = -53, 15 = b + 3*n. Let r(k) be the third derivative of 0 + 0*k**3 + b*k**4 + k**2 + 1/60*k**5 - 1/30*k**6 + 1/70*k**7 + 0*k. Factor r(s).
s**2*(s - 1)*(3*s - 1)
Factor 2/23*p**2 - 100/23 - 10/23*p.
2*(p - 10)*(p + 5)/23
Let x(s) be the first derivative of -2*s**5/25 + 3*s**4/5 - 26*s**3/15 + 12*s**2/5 - 8*s/5 - 312. Factor x(n).
-2*(n - 2)**2*(n - 1)**2/5
Factor -2*i - 63*i**5 - 8*i**2 + 59*i**5 + 2*i + 12*i**3.
-4*i**2*(i - 1)**2*(i + 2)
Let -l**2 - 21*l - 1 - 57*l + 76 + 11*l + 63 = 0. What is l?
-69, 2
Solve 0*m**2 + 5576*m - 34*m**2 - 5616*m - 6*m**3 = 0.
-4, -5/3, 0
Let i(t) = t + 12. Let j be i(-5). Suppose -4 = -5*z + 4*u, -z - j*u = -2*u + 5. Factor z + 2/7*w**2 + 2/7*w.
2*w*(w + 1)/7
Let f(r) be the first derivative of 2*r**5/55 - r**4/22 - 14*r**3/33 + 13*r**2/11 - 12*r/11 + 38. What is o in f(o) = 0?
-3, 1, 2
Factor -20*s - 40*s**2 + 12*s**2 + 24*s**2.
-4*s*(s + 5)
Suppose -3*l + l - 15 = -5*r, -l = -4*r + 12. Let o = 27/7 - r. Let -3/7*a - 3/7*a**3 + o*a**2 + 0 = 0. What is a?
0, 1
Let x(u) be the first derivative of -8 - 1/2*u**4 + 0*u**3 + 3*u**2 - 4*u. What is t in x(t) = 0?
-2, 1
Let y(n) be the third derivative of n**9/3024 + n**8/1344 - n**7/504 - n**6/144 - 3*n**4/4 - 20*n**2. Let o(p) be the second derivative of y(p). Factor o(s).
5*s*(s - 1)*(s + 1)**2
Let m(v) = -10*v**4 - 9*v**3 + 10*v**2 + 16*v. Let l(f) = 3*f**4 + 3*f**3 - 3*f**2 - 5*f. Let g(r) = 14*l(r) + 4*m(r). Determine u so that g(u) = 0.
-3, -1, 0, 1
Let r(g) be the second derivative of -g**5/90 + g**4/18 + g**2 + 2*g. Let a(s) be the first derivative of r(s). Factor a(y).
-2*y*(y - 2)/3
Let d be (-1 - 58/(-54))*(466 - 457). Factor 4/3*w**3 - d - 2/3*w - 2/3*w**4 + 4/3*w**2 - 2/3*w**5.
-2*(w - 1)**2*(w + 1)**3/3
Let s(z) be the second derivative of z**5/140 + z**4/12 - 5*z**3/21 - 8*z**2/7 + 6*z + 35. Suppose s(c) = 0. Calculate c.
-8, -1, 2
Let c(x) be the second derivative of 7*x - 1/3*x**4 + 0 + 0*x**2 + 2/3*x**3. Factor c(q).
-4*q*(q - 1)
Let z be ((-1)/4)/((57/60)/(-19)). Let x(r) be the second derivative of 0 - 1/48*r**4 + z*r - 1/8*r**2 - 1/12*r**3. Factor x(m).
-(m + 1)**2/4
Let w(k) be the third derivative of k**5/100 + 36*k**4/5 + 10368*k**3/5 - 339*k**2. Factor w(s).
3*(s + 144)**2/5
Suppose 3*i = -2*i + 25. Find g, given that g**2 - i*g + 2 + 13*g**3 + 1 - 12*g**3 = 0.
-3, 1
Let q = 109/33 - 7/11. Factor 12*b + q + 20/3*b**3 + 16*b**2.
4*(b + 1)**2*(5*b + 2)/3
Let o be (-20)/2*(-14)/70. Let s(p) be the second derivative of 1/20*p**5 + 0*p**o - 1/6*p**4 + 0 + 3*p + 0*p**3. Suppose s(q) = 0. What is q?
0, 2
Factor -71 - 4*i**2 + 5 + 8563*i - 8603*i + 2.
-4*(i + 2)*(i + 8)
Let l(v) = v**4 - v**3 - 7*v**2 + 5*v + 2. Suppose 9*k - 5*k - 16 = 0. Let h(x) = -2*x**4 + 2*x**3 + 13*x**2 - 9*x - 4. Let s(p) = k*h(p) + 7*l(p). Factor s(i).
-(i - 2)*(i - 1)*(i + 1)**2
Let p be (9/(-6))/((-3)/4). Let c = -33 + 39. Find l such that 0*l**2 + 0 + 3*l**p + 0*l**2 + 3 - c*l = 0.
1
Let v(b) be the second derivative of -5*b**4/12 - 145*b**3/3 - 4205*b**2/2 + 2*b - 25. Factor v(u).
-5*(u + 29)**2
What is h in -1/4*h**3 + 3/4*h**2 - 1/2*h + 0 = 0?
0, 1, 2
Let i(c) be the second derivative of 1/10*c**5 + 0*c**2 + 4/3*c**3 + 2/3*c**4 - 27*c + 0. Factor i(q).
2*q*(q + 2)**2
Let a(b) be the second derivative of -1/14*b**3 + 0*b**2 + 0 + 1/140*b**5 - 1/42*b**4 + 12*b. What is i in a(i) = 0?
-1, 0, 3
Find n such that -5/4*n**2 + 75*n - 1125 = 0.
30
Suppose 4 = -k - 11. Let j = k - -15. Determine v so that -3*v**3 + v - v + j*v = 0.
0
Factor -10/13*r - 12/13 + 4/13*r**2 + 2/13*r**3.
2*(r - 2)*(r + 1)*(r + 3)/13
Factor 0 - 13/8*a**4 + 1/2*a**3 + 0*a + 3/2*a**2 + 1/2*a**5.
a**2*(a - 2)**2*(4*a + 3)/8
Let p(l) = l + 3. Let m be p(2). Suppose -6 = -3*c - 3*q, 0*c + 2*c + m*q - 4 = 0. Factor 9/7*f + 3/7*f**c + 6/7.
3*(f + 1)*(f + 2)/7
Suppose -3*w - 5*b = -4*b - 484, 3*w - 500 = -5*b. Solve -5/2*s**3 - 120*s + 30*s**2 + w = 0.
4
Let i(q) be the second derivative of -q**7/84 - 7*q**6/30 - q**5 + 6*q**4 + 36*q**3 - 216*q**2 + 182*q. Factor i(y).
-(y - 2)**2*(y + 6)**3/2
Let q(j) be the third derivative of j**7/10 - 13*j**6/20 - 3*j**5/4 + 13*j**4/4 + 4*j**3 + 3*j**2 - 5. Find b such that q(b) = 0.
-1, -2/7, 1, 4
Find c such that 6*c**2 - 22/9*c**3 + 4*c + 0 = 0.
-6/11, 0, 3
Let i(f) = -5*f**3 - f**2 + 4. Let t(x) = 0*x**2 + 4*x**2 - 1 - 5*x**2. Let y(l) = i(l) + 4*t(l). Determine g so that y(g) = 0.
-1, 0
Suppose -1/2*g**3 + 0 + 0*g - 3*g**2 = 0. What is g?
-6, 0
Let t(j) = 3*j**4 + 8*j**3 - j**2 + 6*j + 4. Let b(c) = -2*c**4 - 7*c**3 + 2*c**2 - 5*c - 3. Let f(l) = -4*b(l) - 3*t(l). Factor f(a).
-a*(a - 2)*(a - 1)**2
Suppose -3*m + 36 = 4*l + 2*m, -4*l + 20 = m. Suppose -l = 4*k - 12. Factor -3*s**2 + 4*s**2 + 44*s**3 - 7*s**k - 29*s**3.
3*s**2*(5*s - 2)
Suppose 0 = -4*h - 4 + 36. Let y be (-1)/2*(h + -8)/(-5). Solve 1/3*c + 1/3*c**5 + 0 - 2/3*c**3 + y*c**2 + 0*c**4 = 0.
-1, 0, 1
Let f = 283 - 277. Let t(w) be the second derivative of -1/9*w**2 + 2/27*w**4 - 1/9*w**3 + 0 - f*w. Factor t(p).
2*(p - 1)*(4*p + 1)/9
Determine w, given that 277*w**4 + 17*w**3 - w**3 + 0*w**2 + 4*w**2 - 136*w**4 - 64*w - 139*w**4 + 42 = 0.
-7, -3, 1
Let j be 3 + 3 + (0 - 4). Factor l + 42*l**4 - 41*l**4 - 2*l**3 - l**j + 3*l**3 - 2*l**3.
l*(l - 1)**2*(l + 1)
Let k = -7893 + 7896. Factor 81/2*i + 27/2*i**2 + 81/2 + 3/2*i**k.
3*(i + 3)**3/2
Suppose -109*r + 1077 = -116 - 224. Solve 7*t**4 - 11/2*t - r*t**3 + 1 + 12*t**2 - 3/2*t**5 = 0.
2/3, 1
Let t be (1/(-2))/((-4026)/(-2016) + -2). Let q = -166 + t. Factor -1/3*f**4 - 2/3*f**3 + 0*f + 0 - 1/3*f**q.
-f**2*(f + 1)**2/3
Suppose -3*x - 5*c = 8, -c + 226 - 230 = 0. Let 2/23*g**5 + 4/23*g**3 + 8/23*g**x - 8/23*g**2 - 6/23*g + 0 = 0. Calculate g.
-3, -1, 0, 1
Let x(f) = f**3 - 2*f**2 - 6*f - 4. Let w be x(4). Factor 2*a - w*a + 6*a - 12*a**3 + 12*a**2 - 4*a**2.
-4*a*(a - 1)*(3*a + 1)
Let f(u) = 138*u**3 + 418*u**2 + 306*u + 5. Let b(t) = -275*t**3 - 835*t**2 - 610*t - 15. Let q(j) = -3*b(j) - 5*f(j). Determine l so that q(l) = 0.
-2, -1, -2/27
Let r = 380 - 380. Factor 0 + r*l + 1/2*l**2.
l**2/2
Let w = -34 + 39. Suppose -2*u + 4*k + 62 - 20 = 0, 0 = -w*u + 5*k + 95. Determine r, given that 15*r**3 - 10*r**5 - 5*r**4 - 22*r + r**2 + u*r + 4*r**2 = 0.
-1, 0, 1/2, 1
Let l = 234 + -76. Solve l*i**2 - 460*i**2 + 75*i**3 + 165*i**2 + 12*i**4 + 155*i**2 = 0.
-6, -1/4, 0
Suppose -y = -7*y + 30. Let q(x) = -6*x**3 - 49*x**2 - 139*x - 101. Let a(g) = -3*g**3 - 25*g**2 - 70*g - 50. Let p(b) = y*a(b) - 2*q(b). What is j in p(j) = 0?
-4, -1
Let u(s) be the third derivative of 0 - 5/6*s**3 - 1/45*s**4 + 1/45*s**5 + 3*s**2 + 0*s - 1/108*s**6. Let g(c) be the first derivative of u(c). Factor g(h).
-2*(5*h - 2)**2/15
Let v be (20/15)/((-11)/(-3)). Let m be 98/294*(-6)/(-11). Suppose 0*y + 2/11*y**2 - v*y**3 + 0 + m*y**4 = 0. Calculate y.
0, 1
Let l be (-4)/90 + 5/(-225)*-20. Let i(w) be the first derivative of 2 + 0*w**2 + 2/15*w**3 - l*w. What is b in i(b) = 0?
-1, 1
Let m(i) be the second derivative of 1/252*i**7 + 0*i**4 - 1/120*i**5 + 0*i**2 + 0 + 0*i**3 + 9*i + 0*i**6. Suppose m(r) = 0. Calculate r.
-1, 0, 1
Let d(s) = s**2 + 69*s + 202. Let r be d(-66). Solve 8/3 + r*l + 0*l**2 - 4/3*l**3 = 0.
-1, 2
Let o(h