, 1/4, 1
Let l(i) = i**2 - 5*i + 2. Let k be l(5). Factor -4*o**2 - 4 + o**2 + 4*o - o**k - 12*o.
-4*(o + 1)**2
Let l(s) be the third derivative of -s**6/60 + 7*s**5/30 - 7*s**2 + 10*s. Factor l(u).
-2*u**2*(u - 7)
Determine b so that 2/13*b**4 - 20/13*b + 20/13*b**3 + 0 - 2/13*b**2 = 0.
-10, -1, 0, 1
Let z(y) = -3*y**4 + 9*y**2 + 14*y + 4. Let v(u) = 6*u**4 - 18*u**2 - 26*u - 7. Let g(t) = 4*v(t) + 7*z(t). Factor g(a).
3*a*(a - 2)*(a + 1)**2
Suppose 0*m + 4*m - 3*l - 47 = 0, -2 = m + 2*l. Let z be (m/6)/(2/3). Find j such that -5 + 14*j**z - 12*j**3 - 4*j + 4*j**5 + 5 - 2*j**4 = 0.
-2, 0, 1/2, 1
Let d(t) be the first derivative of -t**5 - 15*t**4/4 + 25*t**3 - 85*t**2/2 + 30*t + 98. Factor d(z).
-5*(z - 1)**3*(z + 6)
Let b(m) be the third derivative of m**5/20 + m**4 + 15*m**3/2 - 150*m**2. Let b(z) = 0. Calculate z.
-5, -3
Suppose 4*c = -c - 15. Let j be (-16)/(-6) + (-1)/c. Suppose 12*d**2 + 4*d + 6*d + 3*d**j + 2*d = 0. What is d?
-2, 0
Let a(n) be the second derivative of -n**7/399 + 2*n**6/95 - 2*n**5/95 - n**4/19 + 5*n**3/57 - n - 17. Let a(u) = 0. Calculate u.
-1, 0, 1, 5
Suppose 0*r + 3*r = 33. Suppose 0 = 4*o - 17 - r. Factor -4*p**4 - 3*p**5 + 6*p - p**2 - 3*p - 2*p**4 + o*p**2.
-3*p*(p - 1)*(p + 1)**3
Let x be (20/14)/(17/(119/2)). Let u(h) be the first derivative of -4 - 1/5*h**x + 1/24*h**6 + 0*h**2 + 0*h + 0*h**3 + 1/4*h**4. Factor u(b).
b**3*(b - 2)**2/4
Suppose 21*z - 174 = -111. Let q(h) be the first derivative of 1/4*h**4 + 10 - 1/3*h**z - h**2 + 0*h. What is g in q(g) = 0?
-1, 0, 2
Let d = 2619 + -2616. Let b(w) be the first derivative of -1/24*w**d - 1/4*w**2 - 5 - 1/2*w. Factor b(x).
-(x + 2)**2/8
Let l(m) = 3*m**2 + 4*m + 4. Let c be l(-10). Suppose -8*b**3 - c*b**2 + 2*b**4 - 8*b - 273*b**2 + 547*b**2 + 4*b = 0. What is b?
0, 1, 2
Let l = -54 - -70. Let d be -1 + 4 + 0 - l/6. Find b, given that -d*b**2 - 2/3*b - 1/3 = 0.
-1
Let s = -15183 + 637741/42. Let y = s + -8/7. Factor -y*t**2 + 1/6*t + 1/3.
-(t - 2)*(t + 1)/6
Factor 2*t**2 - 6*t - 4*t**2 - 10*t - 2 + 5 + 15.
-2*(t - 1)*(t + 9)
Suppose 24*d + 0 - 48 = 0. Let g(b) be the third derivative of -1/20*b**6 + 0 + 0*b**3 + 0*b**4 - 1/70*b**7 - d*b**2 + 0*b - 1/20*b**5. Solve g(n) = 0 for n.
-1, 0
Let x(k) = k**3. Let l(h) = 36*h**2 - 168*h + 176. Let n(g) = l(g) + 2*x(g). Factor n(b).
2*(b - 2)**2*(b + 22)
Let s(m) be the first derivative of m**5/5 - 5*m**4/2 + 3*m**3 - 68. Let s(l) = 0. What is l?
0, 1, 9
Let s(o) be the first derivative of o**5 - 45*o**4/4 + 40*o**3 - 40*o**2 + 132. Suppose s(p) = 0. What is p?
0, 1, 4
Let a(k) = 18*k**3 - 2112*k**2 + 185861*k - 5451791. Let q(y) = -8*y**3 + 1056*y**2 - 92930*y + 2725894. Let p(v) = 2*a(v) + 5*q(v). Factor p(r).
-4*(r - 88)**3
Suppose -12 - 1/3*d**2 - 20/3*d = 0. What is d?
-18, -2
Suppose -13*p + 20*p = 14. Let u(h) be the third derivative of -1/3*h**3 - 1/24*h**4 + 0*h + 1/60*h**5 + 0 + 6*h**p. Factor u(y).
(y - 2)*(y + 1)
Let v be 19/4*(-98)/(-931)*8/19. Suppose -v*k + 2/19 + 2/19*k**2 = 0. Calculate k.
1
Suppose 8*s + 3 = 3. Let l(t) be the third derivative of s + 0*t + 2/135*t**5 - 6*t**2 + 1/108*t**4 + 0*t**3. Let l(d) = 0. Calculate d.
-1/4, 0
Let q(x) be the second derivative of x**4/3 - 131*x. Find g, given that q(g) = 0.
0
Let d(h) = 10*h + 132. Let x be d(-13). Let l(k) be the second derivative of -3/4*k**2 - 1/4*k**4 + 0 + 3/80*k**5 + 5/8*k**3 - x*k. Factor l(a).
3*(a - 2)*(a - 1)**2/4
Let d(w) = 7*w**3 - 3*w**2 - 2. Suppose 2*v - 49 = 9*v. Let b(t) = 8*t**3 - 3*t**2 - 3. Let n(y) = v*d(y) + 6*b(y). Factor n(i).
-(i - 2)**2*(i + 1)
Let z(r) be the third derivative of 2*r**7/315 + 7*r**6/90 + r**5/3 + r**4/2 - 323*r**2. Factor z(v).
4*v*(v + 1)*(v + 3)**2/3
Factor -4*a**4 - 7*a + 2 + 130*a**3 + 2*a + a**5 - 126*a**3 + 2*a**2.
(a - 2)*(a - 1)**3*(a + 1)
Suppose 18/5*c - 8/5*c**2 - 18/5*c**3 + 8/5*c**4 + 0 = 0. What is c?
-1, 0, 1, 9/4
Let h(y) be the second derivative of y**4/4 + 3*y**3 + 12*y**2 - 250*y. Suppose h(q) = 0. What is q?
-4, -2
Let v(a) be the third derivative of 5/108*a**4 + 0*a + 0 - 2/27*a**3 - 2/135*a**5 + 4*a**2 + 1/540*a**6. Determine p so that v(p) = 0.
1, 2
Let a(k) = -k - 2. Let b(c) = -676*c**2 - 426*c - 84. Let s(v) = -10*a(v) + b(v). Factor s(l).
-4*(13*l + 4)**2
Suppose 6*q - 2 - 10 = 0. Factor -9*u**2 + 3*u**3 - 3 + 6*u + u + q*u.
3*(u - 1)**3
Let y(t) be the second derivative of 13*t + 0*t**2 + 0 - 1/40*t**5 + 0*t**3 - 1/120*t**6 + 0*t**4. Determine h, given that y(h) = 0.
-2, 0
Suppose 7*a + 250 = 250. Let c be (2*-1)/((-1)/2). Let 0*f + a*f**3 + 2/3*f**c + 0 - 2*f**5 + 0*f**2 = 0. Calculate f.
0, 1/3
Let a(n) be the second derivative of 0 + 0*n**2 + 0*n**3 + 5/12*n**4 + 1/4*n**5 + 25*n. Find o, given that a(o) = 0.
-1, 0
Let q(t) be the second derivative of 0*t**2 - 2/15*t**3 + 11*t + 0 + 1/30*t**4. Factor q(s).
2*s*(s - 2)/5
Let l(v) be the third derivative of v**6/160 - 11*v**5/40 + 21*v**4/32 - 133*v**2. Factor l(k).
3*k*(k - 21)*(k - 1)/4
Let a(g) = -10*g**3 + 38*g**2 - 40*g + 12. Let v = -1 + 3. Let s(p) be the first derivative of -p**4/4 - p**3/3 - 39. Let y(b) = v*a(b) - 2*s(b). Factor y(q).
-2*(q - 3)*(3*q - 2)**2
Let i = 751 + -747. Let x(y) be the second derivative of 0*y**2 + 0 - 1/48*y**i - 6*y + 1/24*y**3. Suppose x(u) = 0. What is u?
0, 1
Let j be -3 - (3 - 2) - -47. Find m, given that -23*m**3 + 4*m**2 + 4*m**5 - 24*m**3 - 4*m**4 + j*m**3 = 0.
-1, 0, 1
Suppose -q + 15 - 10 = 0. Suppose 7 = 2*u + q*k, -3*u - 3 = 5*k - 26. Solve -u - 13*z + 0*z**2 - z**2 + 5*z = 0.
-4
Let x be (-60)/(-9)*(-12)/(-10). Let y be (196/x)/(1/2). Factor 8 - y*g**2 + 13*g + 116*g**2 + 59*g + 95*g**2.
2*(9*g + 2)**2
Let -86/11*c**2 - 166/11*c - 2/11*c**3 - 82/11 = 0. What is c?
-41, -1
Let q(g) be the first derivative of -g**6/90 + g**5/20 - 2*g**3/9 - 3*g + 37. Let v(t) be the first derivative of q(t). Factor v(r).
-r*(r - 2)**2*(r + 1)/3
Let y(g) be the third derivative of g**8/84 + 32*g**7/105 + 77*g**6/30 + 98*g**5/15 + 21*g**2 + 9*g. What is j in y(j) = 0?
-7, -2, 0
Let z be (1 - 2)/((-2)/8). Suppose -z = 9*g - 22. Factor x**g + 0 + 0*x - 1/2*x**3.
-x**2*(x - 2)/2
Let g(t) be the first derivative of -5/3*t**3 - 21 + 10*t**2 - 15*t. Solve g(r) = 0 for r.
1, 3
Suppose -35*w + 3 = -34*w. Suppose m = -r + 1, -w*m = 7*r - 2*r - 5. Determine q so that 2/9*q**2 + 0 + m*q = 0.
0
Let s(z) be the first derivative of -3/4*z**4 + 0*z + 1/2*z**6 + 2*z**3 + 12 - 6/5*z**5 + 0*z**2. Solve s(k) = 0.
-1, 0, 1, 2
What is h in 10/11*h**4 + 0 + 12/11*h**5 + 4/11*h**2 - 26/11*h**3 + 0*h = 0?
-2, 0, 1/6, 1
Let q(m) be the second derivative of m**6/150 + m**5/10 - m**4/60 - m**3/3 + 197*m. Determine n so that q(n) = 0.
-10, -1, 0, 1
Let w(k) = 40*k - 14. Let o be w(2). Factor 7*g - o + 8*g + 66 + 5*g**2.
5*g*(g + 3)
Let a(v) = v**2 - 1. Let j(m) = 4*m**2 + 118*m - 3486. Let l(b) = 5*a(b) - j(b). Factor l(z).
(z - 59)**2
Let q(i) be the second derivative of i**5/10 + 5*i**4/6 - 37*i - 3. Suppose q(a) = 0. Calculate a.
-5, 0
Let a(g) be the third derivative of g**6/540 + 11*g**5/30 + 833*g**4/36 + 2401*g**3/27 + 215*g**2 - 2*g. Factor a(i).
2*(i + 1)*(i + 49)**2/9
Let d be (-2)/9 - (-7)/(252/188). Let h(c) = -8*c**2 + 3*c + 8. Let x(m) = -7*m**2 + 4*m + 7. Let u(v) = d*x(v) - 4*h(v). Solve u(j) = 0.
-1/3, 3
Let c = 9 - 7. Suppose 0*y - j = 4*y - 16, 0 = c*y - 4*j - 8. Factor 2*h**2 - 2*h**3 - 3*h**3 - 7*h**y + 13*h**4 - 3*h**3.
2*h**2*(h - 1)*(3*h - 1)
Let 4 + 14*s**2 + 98/5*s - 8/5*s**3 = 0. Calculate s.
-1, -1/4, 10
Let w = 44/29 - 3931/2610. Let g(y) be the third derivative of 0*y - 1/450*y**5 + 0 - 5*y**2 - w*y**4 - 1/45*y**3. Factor g(a).
-2*(a + 1)**2/15
Let 56/5*q - 56/5*q**3 - 12/5*q**4 - 48/5*q**2 + 12 = 0. What is q?
-3, -5/3, -1, 1
Find q such that 14*q**3 + 0 - 13/2*q**4 - 17/2*q**2 + q = 0.
0, 2/13, 1
Let v(w) = w**2 + 38*w - 78. Let d be v(-40). Factor 1/4*a**2 + d*a + 4.
(a + 4)**2/4
Let h(y) = 3*y**3 + 7*y**2 + y - 2. Let s(z) = 7*z**3 + 15*z**2 + z - 4. Let w(n) = 5*h(n) - 2*s(n). Let p be w(-4). Find q such that 1/3 - 1/3*q**p + 0*q = 0.
-1, 1
Let u(j) = -j + 14. Let c be u(16). Let t be 0 - (-7)/c - -4. Factor -5/4*a**2 + 1/4*a**3 + 1/2*a**4 + 0 + t*a.
a*(a - 1)*(a + 2)*(2*a - 1)/4
Suppose 5*x = -3*c + 4, -67*x + 70*x + 3*c = 0. Let -12/17*j**3 + 2/17*j**4 + 24/17*j**x + 6/17 - 20/17*j = 