 r(i) be the second derivative of 3*i + 0 + 1/9*i**l + 1/9*i**4 + 0*i**2 + 1/30*i**5. Let r(c) = 0. What is c?
-1, 0
Suppose 11*i = -17*i. Let h(p) be the second derivative of -1/48*p**4 - 1/240*p**6 - 5*p + 0 - 3/160*p**5 + 0*p**3 + i*p**2. What is m in h(m) = 0?
-2, -1, 0
Factor -20 - 1/5*m**2 + 29/5*m.
-(m - 25)*(m - 4)/5
Let a(m) be the second derivative of -m**4/36 + m**3/6 + 5*m**2/3 - 164*m - 2. Suppose a(r) = 0. What is r?
-2, 5
Suppose 9*v = 7*v + 4. Suppose 3*n = -v*n + 15. Factor 0*j**3 - j - n - 3*j**3 - 8*j - j**2 - 8*j**2.
-3*(j + 1)**3
Let a(g) = -g**2 - 1. Let i(f) = -5*f**2 - 31*f + 28. Let h(u) = 4*a(u) - i(u). What is m in h(m) = 0?
-32, 1
Let i = -20886/7 - -2985. What is a in -6/7 - 3/7*a**3 + 0*a**2 + i*a = 0?
-2, 1
Let j be 4 + 11 + -9 - 143/24. Let b(i) be the third derivative of -1/120*i**5 + 0*i + 3*i**2 + 1/4*i**3 - j*i**4 + 0. What is c in b(c) = 0?
-3, 1
Let w = 15561 + -171163/11. Find y such that -2/11*y**3 + 4/11 + w*y**2 - 10/11*y = 0.
1, 2
Let a = -1 + -2. Let s be -8*(26/(-8) - a). Factor 2*n**2 + 13*n + 21*n**2 - 3*n**s - n - 8.
4*(n + 1)*(5*n - 2)
Factor 4/7*o**3 - 12/7 + 12/7*o**2 - 4/7*o.
4*(o - 1)*(o + 1)*(o + 3)/7
Suppose -7*v = 21, -2*a + 7*a - 3*v - 24 = 0. Factor -1/2*l**3 + 0*l + a*l**2 + 0.
-l**2*(l - 6)/2
Factor -12*x**2 - 400/3 - 70*x - 2/3*x**3.
-2*(x + 5)**2*(x + 8)/3
Factor -7*j + 10*j - 36*j - 45*j - 99*j - 3*j**2.
-3*j*(j + 59)
Let s = 16 + -20. Let f be 1/s - (-26)/8. Determine m, given that -12 - 10*m - f*m**3 - 11*m - 3*m - 18*m**2 + 3*m**2 = 0.
-2, -1
Factor 9 - 4*q**2 - 35*q - 201 + 74*q - 103*q.
-4*(q + 4)*(q + 12)
Let i(p) be the second derivative of 0 + 1/20*p**5 + 4/3*p**3 - 5/12*p**4 - 2*p**2 - 15*p. What is n in i(n) = 0?
1, 2
Let d(p) be the third derivative of p**8/1008 + 23*p**7/630 + 3*p**2 - 5. Factor d(t).
t**4*(t + 23)/3
Let h(s) = -3*s - 18. Let f be h(-10). Suppose 49 - i**2 - f*i - 61 - 2*i**2 = 0. What is i?
-2
Let g(r) be the third derivative of r**7/70 + 2*r**6/5 + 22*r**5/5 + 24*r**4 + 72*r**3 - 147*r**2 + r. Suppose g(n) = 0. What is n?
-6, -2
Suppose 0 = 10*l + 2*l - 60. Determine f, given that 0*f**l - 7*f**3 - 6*f - 4*f**3 - 3*f**5 + 20*f**3 - 3*f**4 + 3*f**2 = 0.
-2, -1, 0, 1
Let v be ((-15)/2)/(-3)*(-64)/(-40). Let l(f) be the first derivative of 3/4*f**v + f**3 - 3/2*f**2 - 5 - 3*f. Suppose l(x) = 0. What is x?
-1, 1
Let r = -54/5 + 11. Let s = 432/695 - 3/139. Factor 2/5 + s*d + r*d**2.
(d + 1)*(d + 2)/5
Let 5*c + 9854*c**2 - 9856*c**2 + c + 36 = 0. What is c?
-3, 6
Let t = 22132 - 22132. Factor t - 1/4*o**4 + 1/2*o**3 - 1/2*o + 1/4*o**2.
-o*(o - 2)*(o - 1)*(o + 1)/4
Factor -120/7*f**3 - 160/7*f**2 - 40/7*f**4 - 4/7*f**5 - 100/7*f - 24/7.
-4*(f + 1)**4*(f + 6)/7
Let k = -88 - -82. Let q(u) = u**3 - u**2 + 1. Let g(x) = -2*x**4 + 6*x**3 - 4*x + 6. Let n(h) = k*q(h) + g(h). Factor n(c).
-2*c*(c - 1)**2*(c + 2)
Suppose 8 = 4*t + 69*v - 67*v, v = 2*t - 8. Let s(p) be the third derivative of 0 + 0*p - 1/36*p**5 - 5/6*p**t - 4*p**2 + 5/18*p**4. Factor s(r).
-5*(r - 3)*(r - 1)/3
Let i be 4 + (1 - (-2 + 5)). Factor 4*z**2 - 2*z**i - 4*z + 0*z**2 - 6*z**2.
-4*z*(z + 1)
Let g(i) be the second derivative of -i**7/42 + i**6/2 - 57*i**5/20 - 35*i**4/12 + 49*i**3 - 19*i + 19. Let g(k) = 0. What is k?
-2, 0, 3, 7
Let m(j) be the first derivative of 1/24*j**4 + 0*j - j**2 + 1/120*j**5 + 1/12*j**3 - 4. Let v(q) be the second derivative of m(q). Let v(y) = 0. What is y?
-1
Let i(w) be the second derivative of -w**6/10 - 21*w**5/20 - 4*w**4 - 6*w**3 - 2*w - 98. Factor i(q).
-3*q*(q + 2)**2*(q + 3)
Let m(l) be the second derivative of -7/15*l**4 - 28/5*l**2 + 4*l - 34/5*l**3 + 0. Suppose m(g) = 0. Calculate g.
-7, -2/7
Let h = -1/148 + 303/1036. Suppose 0 = -3093*r + 3080*r. Factor h*v - 4/7*v**3 - 24/7*v**4 + r + 8/7*v**2 + 18/7*v**5.
2*v*(v - 1)**2*(3*v + 1)**2/7
Suppose 4483*p + 64 = 4515*p. Factor -1/2*r**3 + 1/4*r**p + 0 - 1/4*r**4 + 1/2*r.
-r*(r - 1)*(r + 1)*(r + 2)/4
Suppose 2*n - 24 = -0*n. Suppose -16*s + 20*s - n = 0. Factor -9*y**2 + 4*y**5 + y**2 + 8*y**4 + 4 + 4*y - 4*y**4 - 8*y**s.
4*(y - 1)**2*(y + 1)**3
Let m(y) = 3*y + 3. Let v be m(0). Find c, given that 2*c**3 - 3*c**4 - 48*c - 17*c**3 - 12*c**v - 72*c**2 = 0.
-4, -1, 0
Let k(n) = -10*n**3 + 3*n**2 + 6*n. Let m(u) = -22*u**3 + 7*u**2 + 14*u. Let c(a) = 7*k(a) - 3*m(a). Find y such that c(y) = 0.
0
Let p be (-42)/(-196)*-6*(-3)/(-9)*-2. Let b be -1 - 1/(-7)*15. Factor b*n**3 - p - 32/7*n**2 + 26/7*n.
2*(n - 3)*(2*n - 1)**2/7
Let i(v) = -140*v**4 + 1030*v**3 - 1660*v**2 + 350*v - 15. Let c(d) = -20*d**4 + 147*d**3 - 237*d**2 + 50*d - 2. Let m(t) = -15*c(t) + 2*i(t). Factor m(h).
5*h*(h - 5)*(h - 2)*(4*h - 1)
Let a be (-1)/(8/(-17 - -1)). Factor -6/5*l**4 + 3/5*l + 6/5*l**a + 0 + 0*l**3 - 3/5*l**5.
-3*l*(l - 1)*(l + 1)**3/5
Let w(g) be the first derivative of 0*g + 0*g**5 + 0*g**4 + 16 + 0*g**3 - 1/3*g**6 + 0*g**2. Factor w(x).
-2*x**5
Let c(r) be the first derivative of -r**2 + 2*r + 3. Let k be c(-2). Factor -6*v**2 - v - 4*v - k - 4*v - 11*v.
-2*(v + 3)*(3*v + 1)
Factor -4*h**4 + 23 + 20*h**3 - 2 + 16 - 84*h - 3 + 38 - 4*h**2.
-4*(h - 3)**2*(h - 1)*(h + 2)
Let b be (-20)/42*(-810)/1350. Factor b*s**2 - 4/7*s + 4/7*s**3 - 2/7*s**4 + 0.
-2*s*(s - 2)*(s - 1)*(s + 1)/7
Solve -8/5*a**2 - 2/5*a**3 + 2*a + 0 = 0.
-5, 0, 1
Let z(g) = -4*g**4 - 17*g**3 - 9*g**2 - 4*g + 20. Let l(s) = s**4 + 5*s**3 + 3*s**2 + s - 6. Let t(q) = -14*l(q) - 4*z(q). Determine n, given that t(n) = 0.
-1, 1, 2
Let u(b) be the second derivative of b**4/4 + 3*b**3 - 5*b. Factor u(i).
3*i*(i + 6)
Determine x so that -36*x**2 + 64*x - 6*x**3 - 45*x**3 - 12 - 55*x**3 - 6*x**3 = 0.
-1, 1/4, 3/7
Let g(z) be the first derivative of z**4/4 - 28*z**3 + 1176*z**2 - 21952*z + 40. Determine w so that g(w) = 0.
28
Let m(b) be the second derivative of b**8/840 - b**7/140 + b**6/180 + 3*b**4 + 21*b. Let s(k) be the third derivative of m(k). Factor s(o).
2*o*(o - 2)*(4*o - 1)
Let q(y) = -5*y**2 + 6*y - 7. Let b(a) = 4*a**2 - 5*a + 6. Let h = 7 + -8. Let s = -7 - h. Let r(z) = s*b(z) - 5*q(z). Factor r(n).
(n - 1)*(n + 1)
Let o(w) be the third derivative of -w**5/600 + w**4/12 - 5*w**3/3 + 15*w**2 - 1. Solve o(f) = 0.
10
Let 2/13*u + 12/13*u**3 + 2/13*u**5 - 8/13*u**2 - 8/13*u**4 + 0 = 0. What is u?
0, 1
Suppose 13 = 3*l + 2*m + 3*m, -2*l = -m. Suppose -r + l = -1. Let -6*k**3 + 13*k**2 - 4*k**3 - 3*k**r + 5*k**4 - k**5 + 1 + 0*k**5 - 5*k = 0. What is k?
1
Let l = 2 + 1. Let h be 3/7 - (-22)/14. Factor -2*s**l + 2*s**h + 2*s**2 - 2*s**2 + 0*s**3.
-2*s**2*(s - 1)
Let p(f) = f**2 + 4*f + 2. Let q be p(-5). Let k = 22/3 - q. Factor -1/3*j**2 + 2/3*j - k.
-(j - 1)**2/3
Factor 4/9*a**2 + 2/3*a + 0 - 8/9*a**4 - 10/9*a**3.
-2*a*(a + 1)**2*(4*a - 3)/9
Let g = 1/1777 - 8948/111951. Let d = 214/315 + g. Factor -9/5*f**2 + 12/5 + d*f**3 + 0*f.
3*(f - 2)**2*(f + 1)/5
Let v(q) = 86*q + 86. Let d be v(-1). Find h such that -2/7*h + 1/7*h**2 + d = 0.
0, 2
Let x be 2 + -5 + (29 - (1 + -4)). Let u = 32 - x. Solve -16/5*n**u + 2/5*n**2 + 2*n**4 + 0 + 4/5*n = 0 for n.
-2/5, 0, 1
Let x(m) = -5*m**3 - 12*m**2 - 17*m + 12. Let r(u) = -3*u**3 - 6*u**2 - 9*u + 6. Suppose 9*d = 15*d + 36. Let g(l) = d*x(l) + 11*r(l). Let g(f) = 0. What is f?
-1, 1, 2
Let h(s) be the third derivative of -s**5/360 - 7*s**4/24 - 49*s**3/4 + s**2 + 12*s. Find q, given that h(q) = 0.
-21
Let n be 1/191*(-2 - (9 - 9)). Let s = 187/382 - n. Factor -s*l**3 + 1/3*l**2 + 0 + 1/6*l.
-l*(l - 1)*(3*l + 1)/6
Solve 0*h**4 - 22*h**2 - 18*h + 27 + 11*h**2 - 3*h**4 - 13*h**2 + 18*h**3 = 0.
-1, 1, 3
Suppose -t - 7 = -2*p + 7, -3*p = -5*t - 28. Factor 2*x - 5*x + p*x**2 - 3*x**3 + 0*x**3 + 0*x**2.
-3*x*(x - 1)**2
Let j be (5 - 4) + 19/((-38)/(-4)). Let 4/3 + 8/3*w - 4/3*w**4 + 0*w**2 - 8/3*w**j = 0. Calculate w.
-1, 1
Let l = 154 + -146. Let z(j) = -j**3 + 7*j**2 + 2*j + 48. Let n be z(l). Suppose n - 4/3*v + 2/3*v**2 = 0. What is v?
0, 2
Let l be (6/(-108))/(3/9*-1). Let 0 + 2/3*z**4 - 2/3*z**2 - 1/2*z**3 - l*z**5 + 2/3*z = 0. Calculate z.
-1, 0, 1, 2
Factor -15*i**4 - 5*i**3 - 20*i + 20*i + 15*i**3.
-5*i**3*(3*i - 2)
Suppose -44*n = -5*g - 47*n + 11, 0 = -2*g + 2*n + 14. Let m(b) be the second derivative of 8*b + 0 + 1/3*b**g + 4/3*b**3 + 0*b**2. Factor m(h).
4*h*(h + 2)
Let k(f) = 4*f + 18. Let p be k(-2). Let h 