
-4*(c - 14)**2*(c - 1)**2
Suppose 667*d - 665*d = 0. Factor -4/19*j + d - 2/19*j**2.
-2*j*(j + 2)/19
Suppose 0 = -28*f + 21*f + 35. Suppose 3*z + f*a = 10, 0 = 11*z - 8*z - 2*a + 4. Factor z*k - 2/13*k**2 - 2/13*k**4 + 4/13*k**3 + 0.
-2*k**2*(k - 1)**2/13
Suppose -30*a + 25*a = 30. Let s be 2*(16/a)/(-1). Factor -4/3*f + 4 - s*f**2.
-4*(f + 1)*(4*f - 3)/3
Let y = 12 - -4. Factor -49*i + 46 + 4*i**2 - y + 9*i + 70.
4*(i - 5)**2
Factor -3639*g**3 - 38*g + 8 + 74*g - 80*g**2 + 3591*g**3.
-4*(g + 2)*(2*g - 1)*(6*g + 1)
Let d(p) = 2*p**2 - 13*p + 5. Let f be d(6). Let h be (-1 - f)/(-3 + 3 + 4). Let 4/9*s**2 + h + 2/3*s**3 + 0*s**4 + 0*s - 2/9*s**5 = 0. Calculate s.
-1, 0, 2
Let 5*m**2 - 35*m**3 - 7 + 35*m - 3 - 2*m**4 + 15*m**4 - 5 - 3*m**4 = 0. What is m?
-1, 1/2, 1, 3
Solve 0 + 3/8*i**2 - 3/8*i = 0 for i.
0, 1
Suppose 2*a + 3*a = -5*q + 15, -11 = -2*a + 3*q. Suppose 53*m + 484 - 749 = 0. Let 0 + 0*r + 0*r**a + 0*r**2 + 2/5*r**m - 2/5*r**3 = 0. What is r?
-1, 0, 1
Let y = -4/103 + 1874/515. Suppose 2*f - 2*q - 26 = 2*q, -3*q - 30 = -5*f. Find n such that 2/5*n**4 + 0 - 6/5*n**5 - y*n**2 + 4/5*n + 18/5*n**f = 0.
-2, 0, 1/3, 1
Let b(x) be the second derivative of -x**5/60 + 14*x**3/9 - 8*x**2 + 31*x + 7. Determine v so that b(v) = 0.
-6, 2, 4
Let u = 14 - 10. Suppose u*k = 3*g - 65, 0*g - k = g - 17. Factor 11*m**2 + 5*m**3 + 7*m**2 + 10*m**4 + 4*m + g*m**3.
2*m*(m + 1)**2*(5*m + 2)
Let h = -370/11 + 2612/77. Suppose r + 6 = 4*r. Factor 0 + 4/7*k**3 + 0*k + 2/7*k**4 + h*k**r.
2*k**2*(k + 1)**2/7
Let r(o) = 2 - 2 + 4*o**3 + 3 - 3*o**3 - o**2. Let j be r(3). Factor -10*t + j - 2*t**2 - 20*t - 71 + 10*t.
-2*(t + 5)**2
Let r(g) be the first derivative of 5*g**3/3 - 85*g**2/2 + 475. Factor r(y).
5*y*(y - 17)
Solve 51*c**3 - 7515*c + 1445*c**2 + 43*c**3 + 2*c**4 + 14*c**3 + 499*c**2 + 19179*c = 0.
-18, 0
Determine x, given that 11/6*x**2 + 10/3*x - 2/3 = 0.
-2, 2/11
Let h be (-1 - (-12)/10) + 280/100. Factor -2/9*d**4 + 2/9*d**5 - 2/9 - 4/9*d**h + 4/9*d**2 + 2/9*d.
2*(d - 1)**3*(d + 1)**2/9
Factor 32*m + 72 + 134*m**3 - 54*m**2 - 44*m - 107*m**3 - 3*m**4.
-3*(m - 6)*(m - 2)**2*(m + 1)
Let i(s) = -s**3 - 22*s**2 + 21*s - 43. Let w be i(-23). Factor -14 - 5 - 45*q**2 + 3*q**4 + 9*q**3 + w + 51*q - 2.
3*(q - 1)**3*(q + 6)
Let d(a) be the first derivative of -15/2*a - 11 - 5/6*a**3 - 5*a**2. Find g, given that d(g) = 0.
-3, -1
Let d(l) = -2*l**2 - 22*l. Let a be d(-11). Factor -3*w**2 + a*w**2 - 16*w - 16 - w**2.
-4*(w + 2)**2
Suppose 0 = -3*m - 4*h + 14 - 16, 5*m = -5*h. Factor 3/4*v**m + 9/4*v + 3/2.
3*(v + 1)*(v + 2)/4
Let r(q) be the second derivative of -11*q**5/10 + 7*q**4/2 + 35*q**3/3 + 3*q**2 + 5*q + 15. Factor r(s).
-2*(s - 3)*(s + 1)*(11*s + 1)
Let y(a) = 2*a**2 - 44*a + 2. Let n be y(22). Let z(g) be the third derivative of 1/3*g**3 - 1/18*g**4 + 0 + 0*g + 1/270*g**5 + 3*g**n. Factor z(b).
2*(b - 3)**2/9
Suppose -564*u + 571*u = 28. Let w(y) be the second derivative of -9/40*y**5 + 0*y**2 + 7/24*y**u + y + 1/12*y**6 + 0 - 1/6*y**3 - 1/84*y**7. Factor w(v).
-v*(v - 2)*(v - 1)**3/2
Let r(y) be the second derivative of -y**4/12 + 46*y**3 - 9522*y**2 - 2*y - 128. Suppose r(c) = 0. Calculate c.
138
Let z(k) be the first derivative of 0*k**2 + 1/2*k**4 + 0*k + 0*k**3 + 7 - 2/5*k**5. Find d such that z(d) = 0.
0, 1
Let j = -13 - -18. Suppose -16 = -j*c - 1. Factor -21*v - 62*v**2 + 47*v**2 + 6 + 0*v + 12*v**c.
3*(v - 2)*(v + 1)*(4*v - 1)
Let k(g) = -2*g**2 - 18*g + 34. Let s(t) = 2*t**2 - t - 1. Let n(w) = k(w) + 2*s(w). Factor n(d).
2*(d - 8)*(d - 2)
Let y be (-2176)/(-624) + (-2)/(-39)*-3. Factor 0 - 5/3*w**3 + y*w**2 + 0*w.
-5*w**2*(w - 2)/3
Let k(q) be the second derivative of q**9/37800 + q**8/8400 + q**7/6300 - 5*q**4/4 - 5*q. Let u(c) be the third derivative of k(c). Factor u(f).
2*f**2*(f + 1)**2/5
Suppose 0 = -71*j + 70*j - k, k + 4 = 0. Let l(c) be the first derivative of 4/5*c + 77/15*c**3 - 16/5*c**2 + 8 - 49/20*c**j. Factor l(y).
-(y - 1)*(7*y - 2)**2/5
Let x(v) be the first derivative of v**6/90 - v**5/60 - v**4/12 + v**3/18 + v**2/3 + v - 7. Let q(o) be the first derivative of x(o). Factor q(f).
(f - 2)*(f - 1)*(f + 1)**2/3
Let u(x) be the second derivative of x**5/120 - 53*x**4/72 + 50*x**3/9 - 49*x**2/3 + 6*x + 10. What is k in u(k) = 0?
2, 49
Let h(m) = 6*m - 23. Let w be h(5). Let z(b) be the second derivative of -1/14*b**w + 0*b**2 + 0*b**3 + 3/20*b**5 + 0*b**4 - 10*b + 0*b**6 + 0. Factor z(a).
-3*a**3*(a - 1)*(a + 1)
Let u(n) = 9*n**2 - 15*n + 9. Let w(l) = -2*l + 18. Let s be w(6). Let y(v) = -5*v**2 + 8*v - 5. Let j(m) = s*u(m) + 11*y(m). Factor j(h).
-(h + 1)**2
Factor -10*u**3 + 297/2*u**2 + 9317/4 + 1/4*u**4 - 968*u.
(u - 11)**3*(u - 7)/4
Let d(a) be the first derivative of -a**6/1440 + a**5/480 + 8*a**3/3 + 8. Let q(r) be the third derivative of d(r). What is x in q(x) = 0?
0, 1
Determine o so that 48050/7 + 2/7*o**2 - 620/7*o = 0.
155
Let y(l) = -l**2 - 8*l + 3. Let a(v) = 104*v**2 - 204*v**2 + 3 + 99*v**2 - 7*v. Let z(c) = 6*a(c) - 5*y(c). Find q, given that z(q) = 0.
-3, 1
Suppose -15 = -4*j - j. Suppose 0 = -5*p + 5, -4*p + 1 - j = -3*x. Factor -13*c - 2 - 9*c - x - 18*c**2 + 0.
-2*(c + 1)*(9*c + 2)
Suppose -10 = 4*t - 10. Let o(u) be the first derivative of 0*u + 2*u**3 + 3/5*u**5 - 9/4*u**4 + t*u**2 - 2. Factor o(q).
3*q**2*(q - 2)*(q - 1)
Let y(w) be the second derivative of w**5/450 + w**4/45 + w**3/15 - 11*w**2/2 - 11*w. Let z(i) be the first derivative of y(i). Factor z(b).
2*(b + 1)*(b + 3)/15
Let d(p) be the third derivative of -p**8/840 + p**7/75 - p**6/20 + p**5/30 + 4*p**4/15 - 4*p**3/5 - 465*p**2. Solve d(h) = 0.
-1, 1, 2, 3
Suppose -y = y, 60 = 5*u + y. Suppose u*z**4 + 19*z**2 - 3*z**4 + 4*z - 21*z**3 - 10*z - z**5 = 0. What is z?
0, 1, 6
Let h be (1 + (-4)/16)*2/6. Let r(m) be the first derivative of -1/20*m**5 + 5/8*m**2 - 4 + 1/2*m - 1/16*m**4 + h*m**3. Find n, given that r(n) = 0.
-1, 2
Let t(g) = -2*g**5 - g**2 + g. Let h(s) = 10*s**5 + 120*s**4 + 884*s**3 - 477*s**2 - 3603*s. Let u(b) = h(b) + 3*t(b). Suppose u(n) = 0. What is n?
-15, -2, 0, 2
Let r = -3307 + 3309. Suppose -2/5*z**4 - 18/5 + 4/5*z**r - 24/5*z + 8/5*z**3 = 0. What is z?
-1, 3
Let y = 179/1005 - 3/67. Let t(x) be the first derivative of -1/25*x**5 - 3/20*x**4 + 0*x**2 + 5 - y*x**3 + 0*x. Find v such that t(v) = 0.
-2, -1, 0
Let k(g) be the first derivative of g**4/42 + 8*g**3/63 - 11*g**2/21 + 4*g/7 + 201. Factor k(x).
2*(x - 1)**2*(x + 6)/21
Suppose 3*t + 88 = -t. Let r be 4/t - 368/(-88). Suppose -4*l**5 + 8*l**3 + 8*l**r - 3*l**4 - l**4 = 0. What is l?
-1, 0, 2
What is a in 11*a**3 + 64*a**4 + 420*a**5 - 335*a**3 - 148*a**2 - 58*a**2 - 16*a + 62*a**2 = 0?
-2/3, -2/7, -1/5, 0, 1
Let u be -1 + (7 - 1) + 22/(-6). Let n = 0 + 2. Factor 2*o + 2/3*o**n + u.
2*(o + 1)*(o + 2)/3
Let i(h) = 20*h**2 + 52*h - 12. Let j(g) = 37*g**2 + 103*g - 22. Let w(c) = -11*i(c) + 6*j(c). Factor w(b).
2*b*(b + 23)
Let w(q) = q + 13. Let d be w(-10). Let f be ((-7)/d)/(1/(-3)). Factor 6*p**3 + 3*p**3 + p**2 - f*p**3 - p**4 - 2*p.
-p*(p - 2)*(p - 1)*(p + 1)
Let g be 1/3 - 9*(-38)/3591. Find p such that -3/7*p**2 + 6/7*p - g = 0.
1
Let x be (-16)/(-8) - (-2 + 4). Let y(t) be the third derivative of -t**2 + 1/720*t**6 + x*t**3 + 0*t**5 + 0*t + 0 - 1/144*t**4. Solve y(n) = 0 for n.
-1, 0, 1
Determine b so that 4*b**3 + 9*b**3 + 2*b**4 - 5*b**3 - 4*b**3 - 2*b**5 = 0.
-1, 0, 2
Suppose q + 7*k - 4*k = 6, 0 = q + 2*k - 4. Determine s, given that 1/3*s**2 - 1/9*s + q = 0.
0, 1/3
What is a in 663*a**3 + 29*a**4 + 1545*a**2 + 400*a - 90 + 57*a**4 + 187*a**3 - 121*a**4 - 170 = 0?
-1, 2/7, 26
Find c, given that 294/5 + 56*c - 2/5*c**4 - 24/5*c**3 - 36/5*c**2 = 0.
-7, -1, 3
Let a(s) be the third derivative of s**7/105 - s**6/15 + s**5/10 - 105*s**2. Solve a(w) = 0 for w.
0, 1, 3
Let c(x) = 4*x**3 + 8*x**2. Let r(t) = 2*t**3 + 4*t**2. Let d be ((-6)/(-2) + -3)/(-1). Suppose -6*i + 23 + 7 = d. Let f(q) = i*r(q) - 2*c(q). Factor f(g).
2*g**2*(g + 2)
What is s in 4*s**2 + 52*s - 100*s + 5 - 35 - 22 = 0?
-1, 13
Let o be (4 + 120/(-18))/(156/(-324)). Factor -o - 24/13*j - 2/13*j**2.
-2*(j + 6)**2/13
Solve -116/5 - 34*m + 6/5*m**2 = 0.
-2/3, 29
Let x(w) = w**2 + 15*w. Let t be -2 + (1 - -8) + -1. Let l(a) = -43*a. Let m(i) = 36*i. Let b(o) = 3*l(o) + 4*m(o). Let r(k) = t*b(k)