 r be b(-1). Let w be r/(-2)*(-20)/6. Let -f + f**2 - 3*f**3 + 2*f**2 + w*f**4 - 4*f**4 = 0. Calculate f.
0, 1
Suppose 17 = 3*d + 5. Determine p, given that -3/4*p**d - 3/4*p**5 + 3/2*p**2 - 3/4 - 3/4*p + 3/2*p**3 = 0.
-1, 1
Factor 32*s**2 + 40 + 98*s - 5*s**3 - 158*s - 2*s**2.
-5*(s - 2)**3
Let m(d) = d**5 + d**4 - d**3 - d**2 - 1. Let l(h) = 15*h**5 + 12*h**4 - 18*h**3 - 12*h**2 + 3*h - 12. Let o(r) = l(r) - 12*m(r). Solve o(j) = 0 for j.
-1, 0, 1
Let i(l) = l**2 + 1 + l**2 + l**2 - 4*l**2. Let f(g) = 10*g**2 - 4*g - 14. Let y(w) = -f(w) - 12*i(w). Determine h, given that y(h) = 0.
-1
Let l = -15 - -21. Factor -5*d - 3*d**2 - l*d + 2*d.
-3*d*(d + 3)
Suppose -6*w = -7*w. Solve v**3 + 0*v + 1/2*v**4 + w + 1/2*v**2 = 0.
-1, 0
Let m = 18 + -14. Let -3*g - m*g**2 - 3*g**4 + 11*g**2 - 2*g**3 + 0*g**3 + g = 0. Calculate g.
-2, 0, 1/3, 1
Let p(f) be the second derivative of -9*f**8/2240 - 2*f**7/105 - f**6/48 + f**5/20 + f**4/2 + 5*f. Let a(m) be the third derivative of p(m). Factor a(h).
-3*(h + 1)**2*(9*h - 2)
Let b(h) be the third derivative of h**6/30 + h**5/15 + 6*h**2. Factor b(p).
4*p**2*(p + 1)
Let q(n) be the first derivative of n**4 - 6*n**2 + 8*n - 2. Determine u so that q(u) = 0.
-2, 1
Let u be 1/4 + 1/4. Let x be (3 - -3) + 9/(-3). Determine i, given that i**2 + u*i + 1/2*i**x + 0 = 0.
-1, 0
Suppose -4*l - 2*z = -2, 5*l - 5*z - 16 - 9 = 0. Factor -4*q**3 - 2*q**2 + 2*q**4 - 5*q + 2*q**5 + l*q**3 + 5*q.
2*q**2*(q - 1)*(q + 1)**2
Determine c so that -16/9*c**2 + 4/3*c**3 - 4/3*c**5 + 0*c + 14/9*c**4 + 2/9 = 0.
-1, -1/3, 1/2, 1
Let g(c) be the third derivative of -c**7/2520 + c**5/120 + c**4/8 - 3*c**2. Let p(o) be the second derivative of g(o). Factor p(s).
-(s - 1)*(s + 1)
Suppose -1100 = -4*o - 260. Let j be (-4 - -1) + o/66. Let -2/11 + 4/11*g**2 + j*g = 0. What is g?
-1, 1/2
Let f(g) be the second derivative of 0*g**2 + 0*g**4 + 0*g**3 - 9*g + 0 - 1/5*g**5. Solve f(c) = 0 for c.
0
Let y = 131 + -391/3. Factor -y + q - 1/3*q**2.
-(q - 2)*(q - 1)/3
Let -5*r + r**3 + 3*r**3 + 0*r**3 + r = 0. Calculate r.
-1, 0, 1
Let x(g) be the third derivative of -g**5/60 - g**4/12 + 10*g**2. Let x(n) = 0. Calculate n.
-2, 0
Let u = 1/147 - -163/49. Factor u*n**2 + 4/3*n**3 + 4/3*n + 0.
2*n*(n + 2)*(2*n + 1)/3
Factor 1/2*i + 0 + 3*i**3 + 2*i**2 + 2*i**4 + 1/2*i**5.
i*(i + 1)**4/2
Let i(a) be the third derivative of -a**9/30240 + a**8/2520 - a**7/504 + a**6/180 - a**5/30 + 2*a**2. Let o(r) be the third derivative of i(r). Factor o(k).
-2*(k - 2)*(k - 1)**2
Let k(m) be the third derivative of -1/45*m**5 + 1/90*m**6 + 0*m**3 + 2*m**2 + 0*m**4 + 0*m - 1/630*m**7 + 0. Factor k(h).
-h**2*(h - 2)**2/3
Determine j, given that -6 - 5 - 6 + 2 - 30*j**2 + 5*j**4 + 40*j = 0.
-3, 1
Let y be 27/7 - (-6)/(-2)*1. Suppose -24/7*b**2 - 2/7 + 20/7*b**3 - y*b**4 + 12/7*b = 0. What is b?
1/3, 1
Factor 3*z**2 - z**2 + 6*z - 30 - z + 3*z**2.
5*(z - 2)*(z + 3)
Suppose 7 = -f - 5*r, 2*r - 5 = -f + 3*r. Factor -2*w**4 + 0*w**2 - w**3 + 4*w - f*w + 3*w**4 - w**2.
w*(w - 1)**2*(w + 1)
Suppose -20*f - 15 + 12*f**2 - 4*f**2 - 13*f**2 = 0. What is f?
-3, -1
Let d(p) be the second derivative of -2*p - 1/2*p**2 + 0 + 0*p**3 + 1/12*p**4. Solve d(o) = 0.
-1, 1
Let i be (-12)/14*(-56)/12. Factor 0 - 1/2*v**i + 0*v**3 + 0*v**2 + 0*v.
-v**4/2
Let h(j) = 5*j**2 + 2*j + 1. Let p be h(-1). Factor 2*q**3 - p*q**5 - 2*q + 0*q**3 + q + 3*q**5.
-q*(q - 1)**2*(q + 1)**2
Let c(a) be the second derivative of 1/2*a**4 + 0 - a + 1/10*a**5 - 4*a**2 + 0*a**3. Factor c(q).
2*(q - 1)*(q + 2)**2
Let b(p) be the first derivative of 15*p**4/32 - 3*p**3/8 - 9*p**2/4 - 3*p/2 - 9. Factor b(f).
3*(f - 2)*(f + 1)*(5*f + 2)/8
Let r = 2/34652951 + 16806676021/90340243257. Let l = r + -1/237. Suppose 4/11 - l*q**2 + 2/11*q = 0. What is q?
-1, 2
Let z(r) = -r - 1. Let t(i) = 84*i**2 + 8. Let b(o) = t(o) + 8*z(o). Solve b(k) = 0 for k.
0, 2/21
Let p be 9/(-10)*(-50)/30. Let -p*m**2 + 0 + 3/2*m**4 - 3/2*m**3 + 0*m + 3/2*m**5 = 0. What is m?
-1, 0, 1
Let m = 26/1335 - 1/356. Let d(k) be the second derivative of -1/90*k**6 - k + 0 + m*k**5 + 0*k**2 + 0*k**3 + 0*k**4. Suppose d(i) = 0. What is i?
0, 1
Let m(v) be the second derivative of -49*v**6/60 + 21*v**5/40 + 61*v**4/12 + 5*v**3 + 2*v**2 + 4*v. Let m(i) = 0. What is i?
-1, -2/7, 2
Let l be (-4 - -6)/(3/12). Suppose -7*a**2 + 12*a - l - 4 + 4*a**2 = 0. What is a?
2
Let x(g) be the third derivative of 0*g**6 - 1/15*g**3 + 0*g + 2*g**2 + 0 + 0*g**4 + 1/75*g**5 - 1/525*g**7. Factor x(q).
-2*(q - 1)**2*(q + 1)**2/5
Let n(j) be the second derivative of -j**6/40 - j**5/16 - j**4/48 + j**3/24 + 5*j. Factor n(a).
-a*(a + 1)**2*(3*a - 1)/4
Factor 0*m**2 - 24/5*m + 32/5 + 2/5*m**3.
2*(m - 2)**2*(m + 4)/5
Factor 2/15*r**3 + 0 + 4/5*r**2 + 2/3*r.
2*r*(r + 1)*(r + 5)/15
Let p(h) = -h**2 + 5*h. Let q be p(5). Suppose 2 = m - q. Let -1/4*a**5 + 0*a**m + 1/4*a**3 + 0 + 0*a + 0*a**4 = 0. Calculate a.
-1, 0, 1
Let v(o) be the first derivative of 0*o - 5/14*o**4 + 0*o**2 - 2/35*o**5 - 7 + 1/21*o**6 - 2/7*o**3. Factor v(f).
2*f**2*(f - 3)*(f + 1)**2/7
Let n(m) be the first derivative of -4/3*m - 1/9*m**3 + 3 - 2/3*m**2. Determine r so that n(r) = 0.
-2
Suppose -6 = t - 4*t. Suppose -3*i - x - 5 = 4*x, 7 = 3*i + 2*x. What is j in 19*j**2 - 20*j + i*j**2 + 4 + 18*j**3 - t*j = 0?
-2, 1/3
Let z(p) be the third derivative of -p**5/30 - p**4/3 - p**3 - 4*p**2. Find v such that z(v) = 0.
-3, -1
Let r(s) be the first derivative of -2*s**5/25 + 7*s**4/20 - s**3/5 - 8. Factor r(y).
-y**2*(y - 3)*(2*y - 1)/5
Let k = 5705 + -8534. Let b = k + 36817/13. Find m such that -18/13*m**5 - 8/13 - b*m + 14/13*m**4 + 58/13*m**3 - 6/13*m**2 = 0.
-1, -2/9, 1, 2
Factor -2*i**4 - 8*i**3 + 85*i**2 - 2*i**4 - 89*i**2.
-4*i**2*(i + 1)**2
Suppose -3 + 6 = -n. Let i be (-77)/(-21) + 2/n. Factor 1 + 3*v**2 - v**2 - 6*v + i.
2*(v - 2)*(v - 1)
Let z(k) = -51*k**4 + 39*k**3 + 21*k**2 - 39*k + 51. Let t(d) = -5*d**4 + 4*d**3 + 2*d**2 - 4*d + 5. Let q(j) = -21*t(j) + 2*z(j). Factor q(m).
3*(m - 1)**3*(m + 1)
Let i be (-11)/(-14) - 2/4. Let o(c) = -2*c. Let r be o(-1). Suppose -4/7*k + 2/7*k**r + i = 0. What is k?
1
Suppose -f + 4*j = -3*f - 20, 0 = 5*j + 25. Let m(n) be the second derivative of 0*n**2 + 2*n - 1/3*n**3 + 1/6*n**4 - 1/15*n**6 + f + 1/10*n**5. Factor m(y).
-2*y*(y - 1)**2*(y + 1)
Let l be -3 + 20/2 - -2. Let s = 4 + 1. Determine d, given that -29*d**4 - s + 4*d + 1 - l*d**5 + 21*d**2 - d**3 - 6*d**5 = 0.
-1, 2/5, 2/3
Let z(o) be the first derivative of 5*o**4/24 - 2*o**3/9 - o**2/12 + 25. Find s, given that z(s) = 0.
-1/5, 0, 1
Let t(y) be the first derivative of y**4/2 - 2*y**3/3 - y**2 + 2*y - 10. Find k such that t(k) = 0.
-1, 1
Let r(g) be the first derivative of -3 - 3/7*g**2 - 10/21*g**3 + 18/7*g - 1/14*g**4. Find s such that r(s) = 0.
-3, 1
Let m = -20 + 20. Suppose 4*a - 5*y + 15 = m, -3*a - 5*y + 15 = -6*a. Factor a + l**2 - 1/2*l.
l*(2*l - 1)/2
Let h(x) be the second derivative of -7/3*x**3 - 5/2*x**5 - 4/21*x**7 + x**2 + 16/15*x**6 + 0 + 19/6*x**4 + x. Factor h(f).
-2*(f - 1)**3*(2*f - 1)**2
Let k(p) = -p**2 - 2*p. Let b be k(-2). Let r be (b - 1)*-3 + 0. Solve 1/2*s**5 + s - 1/2*s**4 + 1/2*s**2 - 3/2*s**r + 0 = 0.
-1, 0, 1, 2
Let u = 20713/1534 + -2/767. Determine a, given that -u*a - 9/2*a**2 - 27/2 - 1/2*a**3 = 0.
-3
Let u(y) = 23*y**2 - 7*y + 24. Let i(w) = -4*w**2 + w - 4. Let b(o) = 34*i(o) + 6*u(o). Determine l so that b(l) = 0.
2
Let o be 1/(4 - 15/10). Suppose 0*g**2 - 2/5*g**3 + 0 + o*g = 0. Calculate g.
-1, 0, 1
Let a be 1/7 + (-2360)/(-1120). Suppose 27/8 + 3/8*w**2 + a*w = 0. What is w?
-3
Suppose 0 = -p + 6 - 3. Suppose -h + 19*v = 20*v - 6, 2*h - 20 = -4*v. Factor 2/11*u**p - 2/11*u**h - 2/11*u + 2/11*u**4 + 0.
2*u*(u - 1)*(u + 1)**2/11
Let -28*j**4 - 10*j + 33*j**4 + 34*j**2 - 20*j**3 - 9*j**2 = 0. Calculate j.
0, 1, 2
Let k(s) = -s**2 + 5*s + 7. Let q be k(6). Suppose -4*g - 2*i + 9 = -q, 0 = 4*g - 4*i - 4. Factor g - 3 + 4*d**2 + 5*d + 2.
(d + 1)*(4*d + 1)
Factor -8 + 31*h - 11*h + 6*h**3 - 2*h**3 - 16*h**2.
4*(h - 2)*(h - 1)**2
Let s = -6 - -9. Let i(w) be the third derivative of -1/24*w**s + 0 - 1/240*w**5 - 1/48*w**4 - 3*w**2 + 0*w. Solve i(d) = 0.
-1
Let -70*r - 105*r**3 - 95*r**2 + 67*r**3 + 53*r**3 = 0. Calculate r.
-2/3, 0, 7
Let s(x) be the third derivative of x**8/10