or -152*k**2 - 141*k**2 + 64 - 32*k + 297*k**2.
4*(k - 4)**2
Let i(u) = u**3 + 7*u**2 + u + 10. Let s be i(-7). Factor 4998*c - 8 + 8*c**2 - c**3 - 3*c**s - 4994*c.
-4*(c - 2)*(c - 1)*(c + 1)
Suppose 50*q = 44*q + 18. Factor -1 - 3*d**q - 3*d + 8*d**2 + 2 + 0*d - 3.
-(d - 2)*(d - 1)*(3*d + 1)
Suppose 0 = -68*g + 63*g - 30. Let s be 40/35*g/(-24). What is r in -6/7*r**4 + s*r**5 + 4/7*r**3 + 2/7 + 4/7*r**2 - 6/7*r = 0?
-1, 1
Suppose -9*j + 173 + 52 = 0. Suppose -20*z + 15*z + j = 0. Suppose 0*d - 2/3*d**4 - 2*d**z + 2/3*d**2 + 2*d**3 + 0 = 0. What is d?
-1, -1/3, 0, 1
Let p(z) be the second derivative of -z**7/504 + z**6/36 - z**5/8 - z**4/4 - 9*z. Let x(n) be the third derivative of p(n). Find c, given that x(c) = 0.
1, 3
Let n(h) = -5*h**2 - 7*h + 9. Let b be -5 - (4/1 - 6). Let c(y) = 4*y**2 + 6*y - 8. Let s(i) = b*c(i) - 2*n(i). Suppose s(u) = 0. Calculate u.
-3, 1
Let d(x) be the second derivative of -x**7/252 + x**6/36 - 3*x**5/40 + 7*x**4/72 - x**3/18 + 2*x + 145. Solve d(j) = 0.
0, 1, 2
Let y be 1 - (-1 + (-5 - 2)). Let p = y + -8. Factor 1 - p + r**3 - 1 + r**2 - r.
(r - 1)*(r + 1)**2
Let k(d) be the third derivative of 1/80*d**6 + 0*d**3 - 3/560*d**7 + 3*d**2 + 1/160*d**5 + 0*d + 0 - 1/32*d**4. Factor k(b).
-3*b*(b - 1)**2*(3*b + 2)/8
Suppose h = -3*v + 210, 5*h - 12 = 3. Let t = v + -67. Suppose -1/2*m + m**3 - 5/4*m**t + 0 + 3/4*m**4 = 0. What is m?
-2, -1/3, 0, 1
Let r = 2155 + -711149/330. Let d(k) be the third derivative of -9*k**2 + 0 + 2/33*k**3 + r*k**5 - 1/44*k**4 + 0*k. Factor d(i).
2*(i - 2)*(i - 1)/11
Suppose -4 - 15 = f. Let o = -17 - f. Let 4*z**3 - 8*z**o + 2 + z**5 - 6*z**4 + 12*z**2 - 6*z + z**5 = 0. What is z?
-1, 1
Let z be 100 + ((-3)/6 + 1)*0. Suppose 112*p**4 + 62*p**4 - 32*p - 144*p**2 + 6*p**4 - 104*p**3 + z*p**5 = 0. What is p?
-2, -2/5, 0, 1
Let q be ((-4)/(-6))/((-52)/216). Let y = -174/91 - q. Factor -6/7*z**2 + 2/7*z**3 - 2/7 + y*z.
2*(z - 1)**3/7
Let y(a) be the second derivative of -a**7/10 - 19*a**6/40 - 2*a**5/5 + a**4/2 - a**2 + 27*a. Let n(d) be the first derivative of y(d). Factor n(z).
-3*z*(z + 1)*(z + 2)*(7*z - 2)
Let t(k) = -63*k**4 + 10*k**3 + 96*k**2 - 17*k. Let u(y) = 11*y**4 - 2*y**3 - 16*y**2 + 3*y. Let w(h) = 6*t(h) + 34*u(h). Factor w(a).
-4*a**2*(a - 2)*(a + 4)
Suppose 4*b = 3*a - 2*a - 189, 2*b + 81 = 5*a. Let n be (-120)/b*8/10. Factor 3/4*z**n - 3/2 + 3/4*z.
3*(z - 1)*(z + 2)/4
Let h(n) be the third derivative of -n**10/604800 - n**9/241920 + n**8/40320 - 17*n**5/60 + 3*n**2. Let s(q) be the third derivative of h(q). Factor s(u).
-u**2*(u - 1)*(u + 2)/4
Let z(i) = i**2 - 13*i - 28. Let q be z(15). What is r in -4*r**q - 54*r + r**2 + 75*r = 0?
0, 7
Let f = 10406 + -10404. Factor -2/3*s**f - s - 1/3.
-(s + 1)*(2*s + 1)/3
Let d = -26 - -22. Let g(t) = t + 1. Let m be g(d). Let w(f) = 4*f**2 + 8*f - 12. Let s(k) = -20*k**2 - 40*k + 60. Let j(n) = m*s(n) - 16*w(n). Factor j(o).
-4*(o - 1)*(o + 3)
Let z = -73 + 133. Let j = z - 119/2. Factor j*m + 0 - 1/4*m**2.
-m*(m - 2)/4
Let z(t) be the third derivative of -t**6/360 + 31*t**5/20 - 805*t**4/3 - 9800*t**3/9 - 129*t**2. Factor z(l).
-(l - 140)**2*(l + 1)/3
Let r be ((-6)/5 + 2)/((-5396)/(-710)). Let -2/19*d + 0 + r*d**2 = 0. What is d?
0, 1
Find f such that 2/5*f**4 - 32/5*f + 2 - 16/5*f**3 + 36/5*f**2 = 0.
1, 5
Let n(u) be the second derivative of u**4/66 - 2*u**3/11 + 5*u**2/11 + 2*u - 2. Factor n(w).
2*(w - 5)*(w - 1)/11
Determine t so that 26*t + 1/2*t**2 + 0 = 0.
-52, 0
Factor -17/2*b**2 + 13/2 - 67/4*b + 3/4*b**3.
(b - 13)*(b + 2)*(3*b - 1)/4
Suppose k - 12 = -3*k. Suppose 26*n + 19*n**3 + 11*n**3 + 22*n + 18 + 2*n**4 - 14*n**k + 44*n**2 = 0. What is n?
-3, -1
Factor 314*d**2 - 930*d**2 - d**4 + 314*d**2 - 6*d + 313*d**2 - 4*d**3.
-d*(d - 1)**2*(d + 6)
Let s be (-4)/6 + ((-308)/(-6))/11. Suppose 33*l**2 - 48*l - 3*l**4 + 6*l**3 + 8*l - 108 + s*l = 0. Calculate l.
-2, 3
Let j(f) be the first derivative of 0*f**3 + 0*f**2 + 1/12*f**4 + 0*f - 5 - 1/15*f**5. Suppose j(t) = 0. Calculate t.
0, 1
Let j(a) = 2*a**3 + a**2 + a - 1. Let c(i) = 5*i**4 - 59*i**3 + 198*i**2 - 242*i + 2. Let u(g) = c(g) + 2*j(g). Factor u(m).
5*m*(m - 4)**2*(m - 3)
Let n(v) be the first derivative of -v**5/90 + v**4/6 - v**3 - 11*v**2/2 - 6. Let u(o) be the second derivative of n(o). Determine m, given that u(m) = 0.
3
Let b(m) be the first derivative of -m**6/3 - 3*m**5/10 + 11*m**4/8 + m**3/2 - 7*m**2/4 - 290. Solve b(q) = 0 for q.
-7/4, -1, 0, 1
Let k be (-1300)/(-250) + 1/(-5). Let z(p) be the third derivative of 0 + k*p**2 + 0*p**3 + 0*p - 1/240*p**5 + 1/48*p**4. Suppose z(a) = 0. Calculate a.
0, 2
Let y(v) = -50*v + 5. Let m = -34 + 29. Let q be y(m). Determine k, given that -4*k + q - 255 + 4*k**3 = 0.
-1, 0, 1
Let r(f) = 3*f**2 - 2 + 4*f**3 - 121*f + 0 - 3*f**3 - 25*f**2. Let k(p) = 2*p**3 - 22*p**2 - 121*p - 3. Let b(l) = -2*k(l) + 3*r(l). Let b(y) = 0. Calculate y.
-11, 0
Let g(b) = -3*b**2 - 44*b. Let n(o) = -19*o**2 - 264*o. Let t(s) = 39*g(s) - 6*n(s). Solve t(l) = 0 for l.
-44, 0
Let k = 2225/3 + -741. Let x(w) be the second derivative of 0 - 9*w + 0*w**2 - k*w**3 - 1/6*w**4. Factor x(f).
-2*f*(f + 2)
Let i(u) be the first derivative of u**3/18 - 43*u**2/12 + 348. Factor i(t).
t*(t - 43)/6
Factor -2/9*f**4 - 14/3*f**2 + 38/9*f - 4/3 + 2*f**3.
-2*(f - 6)*(f - 1)**3/9
Suppose 11 = 2*d + 1. Factor 2*t**d + t**4 + 9*t**4 + 14*t**2 + 5*t - t + 18*t**3 + 0*t**3.
2*t*(t + 1)**3*(t + 2)
Let j(s) be the first derivative of -s**7/42 - s**6/10 - 3*s**5/20 - s**4/12 - 7*s + 2. Let a(h) be the first derivative of j(h). Factor a(d).
-d**2*(d + 1)**3
Solve 310/7*j**2 + 8 - 272/7*j + 50/7*j**3 = 0 for j.
-7, 2/5
Let d(l) be the first derivative of -l**7/168 + l**6/24 - l**5/8 + 5*l**4/24 + l**3 - 2. Let g(n) be the third derivative of d(n). Factor g(u).
-5*(u - 1)**3
Let j(o) = o**2 - 20*o + 84. Let y be j(6). Let l(x) be the second derivative of 1/54*x**4 + 0*x**2 + 0 + y*x**3 + 9*x + 1/90*x**5. Factor l(d).
2*d**2*(d + 1)/9
Let z(f) = -5*f**2 + 179*f - 3872. Let h(c) = -16*c**2 + 538*c - 11616. Let q(w) = 6*h(w) - 20*z(w). Factor q(t).
4*(t - 44)**2
Let q(s) be the third derivative of s**8/28 - 61*s**7/210 + 101*s**6/120 - 14*s**5/15 + s**4/6 + 12*s**2 - 3*s. Solve q(c) = 0.
0, 1/12, 1, 2
What is w in 32/3*w - 28/3 - 11/3*w**2 + 1/3*w**3 = 0?
2, 7
Solve -24*c + 41 - 23 - 3*c**3 - 4*c**2 + 5*c**3 + 2*c**4 + 6*c**3 = 0.
-3, 1
Let d(u) be the first derivative of u**4/54 - u**3/27 - 2*u**2/9 + 39*u - 31. Let z(b) be the first derivative of d(b). Factor z(l).
2*(l - 2)*(l + 1)/9
Let s(k) be the third derivative of k**6/1440 - k**5/180 + k**4/72 - 25*k**3/6 - 6*k**2. Let j(g) be the first derivative of s(g). Factor j(q).
(q - 2)*(3*q - 2)/12
Let u(v) be the second derivative of 0 + 2/7*v**3 - 3/140*v**5 + 18*v + 0*v**2 + 0*v**4. Suppose u(c) = 0. What is c?
-2, 0, 2
Let v(n) be the first derivative of -135*n**6/2 - 423*n**5/5 + 411*n**4/4 + 149*n**3 - 3*n**2 - 24*n + 132. Let v(j) = 0. What is j?
-1, -4/15, 2/9, 1
Suppose 2*s - 2*t = 23 + 5, 0 = -s - 3*t - 6. Suppose 0 = 14*u - 17*u + s. Factor 0*l**2 - 2/5*l**u - 4/5 + 6/5*l.
-2*(l - 1)**2*(l + 2)/5
Let n(m) be the first derivative of 5*m**2 - 11*m**5 - 13 - 5/3*m**3 - 5/2*m**6 - 55/4*m**4 + 0*m. Solve n(l) = 0 for l.
-2, -1, 0, 1/3
Let d(z) = 3*z**4 + 15*z**3 + 3*z**2 - 63*z - 58. Let p(j) = 21*j**4 + 105*j**3 + 21*j**2 - 441*j - 408. Let s(f) = -15*d(f) + 2*p(f). Factor s(n).
-3*(n - 2)*(n + 1)*(n + 3)**2
Let p = 9739 - 9589. Suppose 30*v - p - 3/2*v**2 = 0. Calculate v.
10
Let x(f) = f**3 + 3*f**2 - 7*f - 9. Let i be x(-4). Solve 0 - c**3 - i*c**5 + 6*c**2 + 3*c**3 - 3*c - 3 + 4*c**3 - 3*c**4 = 0.
-1, 1
Let c(s) be the third derivative of -7/40*s**6 + 0*s + 19*s**2 - 29/8*s**4 + 3*s**3 + 3/2*s**5 + 0. Factor c(y).
-3*(y - 3)*(y - 1)*(7*y - 2)
Let h be 5/(-1) + 18 + -10. Factor -4/7*f**h + 8/7 - 24/7*f + 18/7*f**2.
-2*(f - 2)**2*(2*f - 1)/7
Suppose 4*b = 5*r - 1134, -2*r - 5*b + b + 476 = 0. Let f = 230 - r. Suppose 1/3*y - 2/3*y**3 + 1/3*y**5 + 0 + f*y**2 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Let k(r) be the third derivative of r**5/120 - 29*r**4/16 - 22*r**3/3 - 359*r**2. Factor k(p).
(p - 88)*(p + 1)/2
Factor -4/5*m**2 + 2/5*m**5 + 0*m - 6/5*m**3 + 0*m**4 + 0.
2*m**2*(m - 2)*(m + 1)**2/5
Let m(f) = f**3 + 4*f**