
x*(x - 1)**2*(2*x - 1)/7
Let a(m) = -m - 3. Let f be a(-7). Suppose 0 = f*h + 3*z - 0*z - 10, 4*z = 4*h - 24. Suppose -7*p + h*p**3 - p - 8 - 4*p = 0. What is p?
-1, 2
Let x(k) = k**3 - 35*k**2 + 176*k - 58. Let t be x(29). Solve 0 + t*j + 1/9*j**2 = 0.
0
Let x = 133 - 129. Factor 100*b + x*b**2 - 118 + b**2 + 618.
5*(b + 10)**2
Let w be ((8/(-14))/1)/(1/(-7)). Let s be (-11)/(-3) - w/(-12). Factor 2*q**3 - 8/3*q + 0 + 0*q**2 - 2/3*q**s.
-2*q*(q - 2)**2*(q + 1)/3
Let m(a) be the third derivative of a**5/330 - 20*a**4/33 - 93*a**2. Determine h, given that m(h) = 0.
0, 80
Let w = -5 + 9. Solve -3*n**5 - 11*n**4 + 15 + 6*n**2 - 10*n**w + 107*n**3 - 137*n**3 + 33*n = 0 for n.
-5, -1, 1
Let k(z) = -5*z + 14. Let r be k(4). Let t be (-1)/r*1 + 20/240. Solve -4 - 1/4*q**4 + 4*q + t*q**5 + 2*q**2 - 2*q**3 = 0 for q.
-2, 1, 2
Let q = 54 - 52. Factor 6*a**q - 2*a**3 - 4*a + a**3 - 3*a - 2*a.
-a*(a - 3)**2
Suppose -2*g + 0*g = 0. Let c be 0 - (-5 + 3 + g). Let 4*k**c - 33 + 33 - 4*k**4 - 2*k + 2*k**5 = 0. Calculate k.
-1, 0, 1
Let t(m) = -4*m**3 + 17*m**2 + 19*m + 10. Let p(r) = -10*r**3 + 32*r**2 + 40*r + 19. Let f(l) = 4*p(l) - 7*t(l). Determine v, given that f(v) = 0.
-1, -1/4, 2
Let z(h) = 14*h**5 - 18*h**4 - 40*h**3 + 84*h**2 - 50*h + 4. Let j(d) = d**3 - d**2 + d + 2. Let m(s) = 2*j(s) + z(s). Factor m(u).
2*(u - 1)**3*(u + 2)*(7*u - 2)
Let t(d) be the third derivative of 0*d**3 + 39*d**2 - 19/15*d**5 + 0 + 4/15*d**6 + 0*d + 2/105*d**7 + 5/3*d**4. Factor t(c).
4*c*(c - 1)**2*(c + 10)
Let i be (-10)/12 + (15 - (10 + 4)). Let d(t) be the second derivative of 0 - 1/12*t**4 - i*t**2 + 1/60*t**5 + 1/6*t**3 - 7*t. Determine k, given that d(k) = 0.
1
Let v(p) be the third derivative of 1/12*p**4 + 1/240*p**6 + 0*p**3 + 0*p + 1/30*p**5 + 0 + 14*p**2. Factor v(d).
d*(d + 2)**2/2
Let h(v) be the second derivative of v**9/3024 + v**8/1344 - v**7/504 - v**6/144 - 11*v**4/12 + v. Let j(z) be the third derivative of h(z). Factor j(d).
5*d*(d - 1)*(d + 1)**2
Let r(n) = 4*n**4 + 61*n**3 + 175*n**2 + 203*n + 80. Let q(j) = j**3 - j**2 - j. Let z(g) = 5*q(g) - r(g). Find h such that z(h) = 0.
-10, -2, -1
Let r(x) be the second derivative of -686/3*x**7 + 392/3*x**4 + 392/5*x**5 - 4802/15*x**6 - 5*x - 32/3*x**3 + 0 - 32*x**2. Solve r(q) = 0 for q.
-1, -2/7, 2/7
Let u = -15 + 14. Let d be (u - (2 + (1 - 4)))/3. Determine y, given that 0 + d*y + 3/2*y**3 - 3/4*y**2 - 3/4*y**4 = 0.
0, 1
Let m(s) = -s**2 - 3*s + 113. Let f be m(-12). Let 0*d**2 + 0*d - 1/6*d**3 - 1/6*d**f + 0 + 1/3*d**4 = 0. What is d?
0, 1
Suppose -2*x = -2*a - 18, -5*x - 5*a + 72 = -a. Let o be (x/(-54))/((-4)/6). Suppose 0*f - 1/3*f**2 + o = 0. Calculate f.
-1, 1
Suppose 2687 = 3*r - 2*r + 2682. Let -4/5*q**r - 4/5*q**3 - 8/5*q**2 - 2/5 + 8/5*q + 2*q**4 = 0. What is q?
-1, 1/2, 1
Let u be 1/(-2)*2 - -6. Suppose -8 = -m - 3*q, u*m + 0*q - 26 = -q. Factor -2*w**5 + 6*w**3 + 4*w**5 - 4*w**5 - 3*w - w**m.
-3*w*(w - 1)**2*(w + 1)**2
Let q(r) be the second derivative of 3/4*r**3 + 0 - 1/2*r**2 - 1/6*r**4 - 36*r. Find u such that q(u) = 0.
1/4, 2
Let n(d) be the second derivative of -5*d**4/4 - 29*d**3 + 36*d**2 + d - 46. Factor n(t).
-3*(t + 12)*(5*t - 2)
Suppose 689*m + 51*m**2 + 443*m**2 + 2*m**4 + 58*m**3 + 325*m = 0. What is m?
-13, -3, 0
Let d = -24876/5 + 4980. Let 6*p + 6/5*p**2 + d = 0. Calculate p.
-4, -1
Let v(j) be the second derivative of j**7/63 + j**6/9 + j**5/5 - j**4/9 - 7*j**3/9 - j**2 + 12*j - 2. Factor v(i).
2*(i - 1)*(i + 1)**3*(i + 3)/3
Let b(m) be the second derivative of 7/4*m**4 + 2*m + 3/10*m**6 + 0*m**2 + 0 + m**3 + 6/5*m**5. Factor b(t).
3*t*(t + 1)**2*(3*t + 2)
Let x be 2*((-4)/(-2 - -10) - -1). Factor 4*q + q**2 - 5*q + 0*q**2 - q + x.
(q - 1)**2
Let d(z) be the first derivative of 2*z**3/3 - z**2/2 - z - 11. Let f(s) = 11*s**2 + 4*s - 15. Let g(q) = -6*d(q) + f(q). Factor g(w).
-(w - 9)*(w - 1)
Let q(l) be the second derivative of 17*l + 0 + 1/4*l**5 - 5/2*l**4 - 15*l**2 + 55/6*l**3. Let q(b) = 0. What is b?
1, 2, 3
Let c be -2 - (-1662)/18 - -1 - (29 + -23). Let 64/3*w - 4/3*w**2 - c = 0. What is w?
8
Let m be 20 + -16 - (-1 + 5)*138/144. Solve 0 - 1/6*s**4 + 1/6*s**5 + m*s**2 - 1/6*s**3 + 0*s = 0.
-1, 0, 1
Let p(y) = -5*y**4 + 8*y**2 - 3. Let h(m) = -10*m**4 + 15*m**2 - 5. Let j be (4/(-6))/((-12)/270*-3). Let k(g) = j*p(g) + 2*h(g). Solve k(i) = 0 for i.
-1, 1
Let t(s) be the third derivative of 1/12*s**5 - 9*s**2 + 0*s - 5/6*s**3 + 0*s**4 + 0. Determine j so that t(j) = 0.
-1, 1
Let p = 80 + -100. Let y(k) = 150*k**3 + 40*k**2 - 86*k + 14. Let a(h) = 50*h**3 + 13*h**2 - 29*h + 5. Let z(w) = p*a(w) + 6*y(w). Factor z(o).
-4*(o + 1)*(5*o - 2)**2
Let r(t) = -2*t**2 + 73*t - 258. Let y be r(4). Factor 0 + 1/3*q**y - 8/3*q.
q*(q - 8)/3
Let g(n) = 4*n**2 + 2*n. Let r(h) be the third derivative of -h**5/20 - h**4/12 - 17*h**2. Let x(i) = -5*g(i) - 6*r(i). Factor x(f).
-2*f*(f - 1)
Let q be 5*((-18)/(-5))/6. Determine z, given that 5*z**q + 178*z**4 - 76*z**4 - 87*z**4 - 5*z**5 + 20 - 35*z**2 = 0.
-1, 1, 2
Let s = -3708 + 25972/7. Factor 18/7*w + 2/7*w**2 + s.
2*(w + 1)*(w + 8)/7
Let -1/2*a**3 + 3*a**2 + 9/2*a - 7 = 0. Calculate a.
-2, 1, 7
Let z(h) = -h - 1. Suppose -3*v = 4 - 13. Let m(d) = 356 - 357*d**2 + 329*d - 92*d - 147*d**3 - 395. Let y(l) = v*z(l) - m(l). Determine s, given that y(s) = 0.
-3, 2/7
Let j(t) be the second derivative of 2*t**6/15 + 14*t**5/5 + 25*t**4/3 + 8*t**3 - 69*t - 4. Determine v so that j(v) = 0.
-12, -1, 0
Let p(x) be the first derivative of -x**4/22 + 4*x**3/11 + 9*x**2/11 - 28*x/11 - 226. Suppose p(i) = 0. What is i?
-2, 1, 7
Let a(u) be the second derivative of u**4/66 - 2*u**3/33 - 2*u - 3. Factor a(w).
2*w*(w - 2)/11
Let x be ((-12)/7)/((-4)/14). Suppose x*g = 3*g + 9. Let 3*r**4 - r - 2*r + 0*r - 3*r**2 + 3*r**g = 0. What is r?
-1, 0, 1
Let z be (-5)/((-140)/7)*2*4. Factor -14/5*r**3 + 0 - 24/5*r**z + 8/5*r.
-2*r*(r + 2)*(7*r - 2)/5
Let d(z) be the third derivative of z**6/360 + z**5/40 + z**4/12 - z**3/6 + 7*z**2. Let u(x) be the first derivative of d(x). Suppose u(y) = 0. What is y?
-2, -1
Factor 1922 + 2/9*b**2 - 124/3*b.
2*(b - 93)**2/9
Find o such that 16/11*o - 8/11 + 2/11*o**2 - 4/11*o**3 = 0.
-2, 1/2, 2
Let u(l) be the third derivative of -15*l**2 + 0 - 1/210*l**5 + 0*l**3 + 1/42*l**4 + 0*l. Let u(x) = 0. What is x?
0, 2
Let a = -3814/39 + 1280/13. Determine n, given that 2/9*n + 2/3 - 2/9*n**3 - a*n**2 = 0.
-3, -1, 1
Let t(p) = p**4 - p**3 + 2*p**2 + p. Let i(v) = 4*v**4 - 30*v**3 - 14*v**2 + 5*v. Let r(c) = 4*i(c) - 20*t(c). Factor r(h).
-4*h**2*(h + 1)*(h + 24)
Let x = -77 - -1002/13. Let z = 18/65 - x. Factor -z*g + 0 + 1/5*g**2.
g*(g - 1)/5
Suppose -3*b + 6 = -12. Let h(d) = d**2 - d. Let q(z) = 2*z**3 + 13*z**2 + z + 2. Let k = -150 + 149. Let u(v) = b*h(v) + k*q(v). Factor u(r).
-(r + 1)*(r + 2)*(2*r + 1)
Let w(i) be the second derivative of -i**7/160 - i**6/40 - 3*i**5/160 + i**4/16 + 7*i**3/6 + i. Let j(c) be the second derivative of w(c). Factor j(b).
-3*(b + 1)**2*(7*b - 2)/4
Let f(q) be the third derivative of -1/132*q**4 + 1/660*q**6 + 0 + 0*q**3 + 0*q + q**2 + 0*q**5. Factor f(s).
2*s*(s - 1)*(s + 1)/11
Solve -4*o**4 + 2/3*o**2 + 17/6*o - 2/3 - 25/3*o**3 + 3/2*o**5 = 0 for o.
-1, 1/3, 4
Let g(d) be the first derivative of d**4 - 20*d**3/3 + 6*d**2 + 36*d + 67. Factor g(a).
4*(a - 3)**2*(a + 1)
Let i(u) be the second derivative of -5*u**5/2 - 65*u**4/18 + 8*u**3/9 + 4*u**2 + 160*u. Let i(p) = 0. What is p?
-2/3, -3/5, 2/5
Let b(s) = 12*s**4 + 49*s**3 + 3*s**2 - 17*s - 17. Let i(c) = -4*c**4 - 17*c**3 - c**2 + 6*c + 6. Let u(z) = -6*b(z) - 17*i(z). Determine w so that u(w) = 0.
-1, -1/4, 0
Let p(f) = -8*f - 86. Let n be p(-11). Let w = 828/7 + -118. Factor 0 + 2/7*v + w*v**n.
2*v*(v + 1)/7
Let j = 97/25 - 37/25. Let n(c) be the second derivative of 0 + 0*c**2 + 0*c**3 - j*c**5 + 8*c + 4/3*c**4 + 2/3*c**6. Solve n(t) = 0.
0, 2/5, 2
Let i(k) = 2*k - 18. Let s be i(10). Factor 11*c**2 + 256 + 64*c - c**2 - 3*c**2 - 3*c**s.
4*(c + 8)**2
Factor 0 + 4/3*t**4 + 0*t - 20/3*t**3 + 16/3*t**2.
4*t**2*(t - 4)*(t - 1)/3
Factor 40/3*a**3 - 54 + 120*a - 2/3*a**4 - 236/3*a**2.
-2*(a - 9)**2*(a - 1)**2/3
Factor 2072*j - 1369/4 - 9/4*j**4 - 6383/2*j**2 + 168*j**3.
-(j - 37)**2*(3*j - 1)**2/4
Let p(l) be the first derivative of -l**6/660 