6/45 + 116*l**5/15 + 3364*l**4/3 + 780448*l**3/9 + 11316496*l**2/3 + 117*l. Factor u(o).
2*(o + 58)**4/3
Suppose b + 9 = 4*j, 4*b + 12 = 5*j - j. Suppose 4*d**2 - 5*d**2 - 3*d**j + 4*d**4 = 0. What is d?
-1, 0, 1
Factor 10 - 1/3*l**2 + 13/3*l.
-(l - 15)*(l + 2)/3
Let t be (-45)/(-30) + 2/4. Let r be (15/30)/(t/16). Determine u, given that u - r*u + 3 + 5*u - 4 - u**2 = 0.
1
Let k = 95 - 83. Let s be ((-6)/15)/(k/(-5)). Factor s*g + 1/3*g**2 - 1/6*g**3 - 1/3.
-(g - 2)*(g - 1)*(g + 1)/6
Let h = 179 + -176. Let o be ((-3)/(-45))/(1/h). Solve -o + 3/5*j**3 + 1/5*j + j**2 = 0.
-1, 1/3
Let x(y) = -y**2 + 5*y + 3. Suppose 6*b - 4*b - 10 = 0. Let z be x(b). Find j, given that 5*j + 0*j + z*j - 28*j**2 = 0.
0, 2/7
Let u = -1/366 + 824/183. Let d(t) be the first derivative of -t**2 - 14/5*t**5 - 2/3*t**6 - u*t**4 + 0*t - 10/3*t**3 - 9. Let d(h) = 0. What is h?
-1, -1/2, 0
Let s(c) = -c. Suppose 7*q = q - 6. Suppose 0 = -d - 0 + 6. Let r(x) = x**3 - 2*x**2 - 5*x. Let u(i) = d*s(i) + q*r(i). What is f in u(f) = 0?
0, 1
Find j such that -19*j**3 + 6*j**2 + 10*j**4 + 0 + 9/2*j - 3/2*j**5 = 0.
-1/3, 0, 1, 3
Let c(w) = w**3 - 10*w**2 + 10*w - 5. Let o be c(9). Let v(y) be the second derivative of 0 - 2/21*y**3 + 0*y**2 - 4*y - 1/42*y**o. Factor v(q).
-2*q*(q + 2)/7
Let h(a) = 2*a**2 + a + 1. Let w(u) = 12*u**2 - 424*u - 11656. Let v(j) = 8*h(j) - w(j). Factor v(t).
4*(t + 54)**2
Suppose -3*u = 3*s - 1143 + 123, -4*s = 5*u - 1362. Find j such that -j**2 - 2*j**2 + 95 - s - 54*j = 0.
-9
Suppose 2*y - 19 = 2*s - 7*s, -2*s + y = -4. Find r such that -132*r**2 + 72*r - 112*r**s - 33*r**4 - 25*r**4 + 38*r**4 = 0.
-3, 0, 2/5
Let x(p) be the first derivative of -4/3*p**3 - 3*p**2 + 9 - 1/6*p**4 - 8/3*p. Solve x(h) = 0 for h.
-4, -1
Let n(x) be the second derivative of 0 - 1/4*x**5 - 6*x - 40*x**3 - 160*x**2 - 5*x**4. Solve n(d) = 0.
-4
Let i(l) be the second derivative of l**5/160 + l**4/32 + l**3/16 + 7*l**2/2 + 4*l. Let v(n) be the first derivative of i(n). Find q, given that v(q) = 0.
-1
Let v(f) be the second derivative of -f**7/630 - f**6/180 - f**4/3 + 17*f. Let b(h) be the third derivative of v(h). Let b(o) = 0. What is o?
-1, 0
Let k(m) be the first derivative of 0*m - 4/3*m**3 - 1/1980*m**6 + 0*m**4 - 1/330*m**5 + 0*m**2 + 7. Let s(h) be the third derivative of k(h). Factor s(a).
-2*a*(a + 2)/11
Let o be (10/(-1)*1)/((-2)/(-4)). Let r = -16 - o. Suppose 0 - 7/2*w**r - 3/4*w**3 + 0*w + 1/2*w**2 + 15/4*w**5 = 0. What is w?
-2/5, 0, 1/3, 1
Suppose -a = -3*a - 5*f - 1, -2*a + 5*f + 9 = 0. Determine t, given that 400 + 3*t**2 - 80*t - 7*t**2 + 4*t**2 + 4*t**a = 0.
10
Suppose b - 3*z + 1 = 0, 3*b + 35*z - 31*z = 10. Find r, given that 0 - 4/7*r**b + 0*r - 6/7*r**3 + 2/7*r**5 + 0*r**4 = 0.
-1, 0, 2
Let p(j) be the first derivative of -3*j**5/10 - 71*j**4/8 - 37*j**3/2 - 21*j**2/4 + 11*j - 82. Suppose p(o) = 0. Calculate o.
-22, -1, 1/3
Suppose 4*l + 4 - 2 = 2*o, -l + o = 3. Solve x - x**2 - 2*x**l + 4*x**2 + 0*x = 0 for x.
-1, 0
Suppose -46*p = -48*p - l + 4, 4*p - l - 14 = 0. Let y(v) be the first derivative of 4 + 0*v - 1/30*v**p + 0*v**2. Factor y(q).
-q**2/10
Factor -13/11*m + 1/11*m**3 + 12/11 + 0*m**2.
(m - 3)*(m - 1)*(m + 4)/11
Let y be 3/7 + (41/533 - 648/2002). Let 2/11*k**2 - 2/11 + 2/11*k - y*k**3 = 0. Calculate k.
-1, 1
Suppose w = -4*h + 16, h - 20 = 4*w - 4*h. Let k be (w - (-1 + -1)) + 3. Determine x, given that 2*x**4 + 0*x**2 + x**k - 2*x - 2*x**2 + x = 0.
-1, 0, 1
Let s(t) = t**2 - 25. Let c be s(-5). Suppose m + m - 4*x = -12, 2*m - 3*x + 8 = c. Let -a**4 - 2/5*a**m + 0 - 7/5*a**3 + 0*a = 0. What is a?
-1, -2/5, 0
Let m be (-14)/700*-15*4/6. Factor -m*c**2 + 0 - 2/5*c.
-c*(c + 2)/5
Let b(w) = -6*w**2 + 4*w + 22. Let x(a) = a**2 - a - 1. Let f(m) = b(m) + 4*x(m). Factor f(c).
-2*(c - 3)*(c + 3)
Solve 1/5*l**2 - 4*l + 20 = 0.
10
Let j be (0/(-3))/(9 - 10). Let l(r) be the first derivative of j*r**2 + 1/6*r**4 + 2/9*r**3 + 3 + 0*r. Determine w, given that l(w) = 0.
-1, 0
Suppose 2*x = 4*r - 26, 2*x = 2*r + r - 22. Let n(w) = 2*w**2 - 18*w + 18. Let a be n(8). Factor 0*o**2 - r*o**2 + 3*o**2 - 2*o - 3*o**a - 2*o**3.
-2*o*(o + 1)**2
Let 0 - 5/4*q**2 + 7/2*q - 1/4*q**3 = 0. Calculate q.
-7, 0, 2
Let 25*h**3 - 9*h - 16*h - 183364*h**4 + 20 - 15*h**2 + 183359*h**4 = 0. Calculate h.
-1, 1, 4
Let h(t) be the second derivative of t**5/5 - 148*t**4/3 + 586*t**3/3 - 292*t**2 - 853*t. Suppose h(r) = 0. What is r?
1, 146
Let 0 + 0*l + 93/2*l**3 - 63/2*l**2 + 2*l**5 - 20*l**4 = 0. What is l?
0, 3/2, 7
Let i(j) be the third derivative of 0*j**3 + 0 - 1/16*j**4 + 1/224*j**8 - 17*j**2 + 0*j**6 - 1/20*j**5 + 0*j + 1/70*j**7. Factor i(c).
3*c*(c - 1)*(c + 1)**3/2
Let w(x) be the second derivative of x**5/135 + 7*x**4/108 - 4*x**3/27 + 2*x**2 + 21*x. Let b(i) be the first derivative of w(i). Factor b(r).
2*(r + 4)*(2*r - 1)/9
Let c(d) = d + 8. Let n be c(-3). Let k(f) = -f**3 - 3*f**2 + 3*f - 2. Let y be k(-4). Find z such that 2*z**2 + 2*z**y + n + 0*z**3 - 2*z - 9 + 2*z**3 = 0.
-2, -1, 1
Suppose 0 = -3*s - 4*l, 0 = -3*s - 3*l - 30 + 33. Factor 35*k**3 + 2 + 69/2*k**2 + 14*k + 25/2*k**s.
(k + 1)**2*(5*k + 2)**2/2
Let s be 2/9 - 102/108*-4. Let -2*w**5 + 2*w**4 + 8*w**3 - 85*w**2 - 2*w**3 - s*w + 83*w**2 = 0. Calculate w.
-1, 0, 1, 2
Let u(s) be the second derivative of s**4/60 + 7*s**3/15 - 3*s**2/2 - 93*s. Factor u(g).
(g - 1)*(g + 15)/5
Let h(o) be the second derivative of -2/105*o**7 - 2/75*o**6 + 0 + 1/25*o**5 - 5*o + 0*o**2 + 0*o**3 + 1/15*o**4. Let h(x) = 0. What is x?
-1, 0, 1
Let p(v) be the first derivative of -v**4/12 + 5*v**3/27 + v**2/9 - 14. What is b in p(b) = 0?
-1/3, 0, 2
Let v(j) be the second derivative of 1/48*j**4 - 12 + 0*j**3 + 11/240*j**6 + 0*j**2 + 3*j - 13/160*j**5. Solve v(l) = 0 for l.
0, 2/11, 1
Factor 18*j + 88/5 + 2/5*j**2.
2*(j + 1)*(j + 44)/5
Suppose -11*o - 293 = 290. Let r = o - -55. Determine w, given that -3/2*w - 6*w**3 + 15/2*w**r + 0 = 0.
0, 1/4, 1
Factor 252/5*c**3 + 0 - 16/5*c**4 - 192*c**2 - 256/5*c.
-4*c*(c - 8)**2*(4*c + 1)/5
Let h = -1547 - -1551. Find p, given that 195/2*p**2 + 20 - 20*p**3 - 85*p - 25/2*p**h = 0.
-4, 2/5, 1
Let q = 20879 + -20875. Determine s, given that 0*s**2 + 0*s - 2/7*s**q + 0 - 6/7*s**3 = 0.
-3, 0
Let a = 126 - -2. Let m = a + -128. Determine j, given that m*j**3 - 2/3*j**4 + 2/3*j**2 + 1/3*j - 1/3*j**5 + 0 = 0.
-1, 0, 1
Suppose 0 - 6 = 4*h - i, -12 = 4*h - 2*i. Factor h - 2/5*b**2 + 4/5*b.
-2*b*(b - 2)/5
Let r(l) = -7*l**3 + 3*l**3 - 7*l**2 + 10 - 9*l + 2*l**3 + 3*l**3. Let m be r(8). Factor -2*q**2 + 3*q - m*q - 4*q + q.
-2*q*(q + 1)
Let o(c) be the third derivative of -c**7/840 + 7*c**6/240 - 4*c**5/15 + c**4 - 180*c**2. Factor o(l).
-l*(l - 6)*(l - 4)**2/4
Let n(g) be the first derivative of g**3/21 - g**2 + 40*g/7 - 135. Find f such that n(f) = 0.
4, 10
Factor -5*w**3 + 35/3*w**2 - 10/3*w + 0.
-5*w*(w - 2)*(3*w - 1)/3
Let o(s) be the first derivative of 5 + 0*s**4 - 8/3*s**3 - 1/12*s**5 - 1/72*s**6 + 0*s + 0*s**2. Let v(w) be the third derivative of o(w). Factor v(p).
-5*p*(p + 2)
Let i(s) = 8*s**2 - 23*s - 31. Let p(b) = -4*b**2 + 11*b + 15. Let v(z) = -3*i(z) - 7*p(z). Factor v(k).
4*(k - 3)*(k + 1)
Let m(j) be the second derivative of 13/54*j**4 - 4/45*j**5 + 0*j**2 + 0 + 1/135*j**6 - 36*j - 2/9*j**3. Factor m(y).
2*y*(y - 6)*(y - 1)**2/9
Factor -8/5*x**2 - 6/5*x**3 + 1/5*x**4 + 96/5*x - 128/5.
(x - 4)**2*(x - 2)*(x + 4)/5
Let q(f) be the third derivative of f**6/12 - 5*f**5/4 + 95*f**4/24 - 5*f**3 - 55*f**2. Factor q(k).
5*(k - 6)*(k - 1)*(2*k - 1)
Let y = 5609/21 - 267. Factor -y*l + 2/21*l**3 + 2/21*l**4 - 2/21*l**2 + 0.
2*l*(l - 1)*(l + 1)**2/21
Let i(q) = -q**3 + 12*q**2 - 11*q + 6. Let m(u) = -5*u**3 + 50*u**2 - 45*u + 25. Let p(c) = 25*i(c) - 6*m(c). Factor p(b).
5*b*(b - 1)*(b + 1)
Let d(m) = -5*m**4 - 10*m**3 + 5*m**2 - 5. Let g(o) = -3*o**4 + 6*o**2 - 11*o**3 + 2*o**4 - 4*o**4 - 6. Let k(s) = -6*d(s) + 5*g(s). Factor k(a).
5*a**3*(a + 1)
Let j = -836 + 839. Find y such that 0*y + 0 - 1/3*y**j - 2/3*y**2 = 0.
-2, 0
Let -4/9*c**4 - 46/9*c**3 - 160/9*c + 128/9 - 56/3*c**2 = 0. What is c?
-4, 1/2
Let o(a) = -2*a**5 + 4*a**4 - 12*a**3 - 4*a**2. Let x(b) = b**4 - 3*b**3 - b**2. Let m(j) = o(j) - 4*x(j). Factor m(r).
-2*r**5
Let z(u) be the third derivative of u**6/120 - u**5/30 - 9