 - 28/9*c**3 - 221/24*c**4 + 0*c. Factor v(r).
-r*(r + 1)*(13*r + 2)**2/6
Let n(i) = -i - 1. Let g(r) = r**4 - 2*r**3 - 3*r**2 + 2*r + 2. Let z(t) = 3*g(t) - 6*n(t). Factor z(j).
3*(j - 2)**2*(j + 1)**2
Suppose 0*u**3 - u**3 + 20*u**2 + 4*u - 215 - 1 + 196*u**2 - 3*u**3 = 0. Calculate u.
-1, 1, 54
Suppose 14*v**4 + 28*v**2 - 7*v**2 - 60*v - 36*v**4 + 6*v**3 + 36 + 19*v**4 = 0. What is v?
-3, 1, 2
Let g(y) be the first derivative of 2*y**5/5 + 11*y**4 + 78*y**3 - 88*y**2 - 968*y - 380. What is w in g(w) = 0?
-11, -2, 2
Let v be 0/(-201) - ((-24)/(-14))/(-3). What is x in -2/7*x**5 - 4*x**2 + 18/7 + 10/7*x**4 - v*x**3 + 6/7*x = 0?
-1, 1, 3
Suppose 0 = 8*f - 4 - 4. Let m be -14*f/5 - (2 + -5). Determine i, given that -m*i + 8/5*i**4 - 3*i**3 - 8/5*i**2 + 0 + 16/5*i**5 = 0.
-1, -1/4, 0, 1
Determine u, given that -10*u**2 - 5*u**5 - 5*u**4 - 2*u**4 + 5*u**3 + 0*u**4 + 17*u**4 = 0.
-1, 0, 1, 2
Solve -196/5*i**3 + 2436/5*i**2 + 288*i + 208/5 = 0 for i.
-2/7, 13
Let y(n) be the first derivative of -2*n**3/39 + 111*n**2/13 - 220*n/13 - 333. Suppose y(h) = 0. Calculate h.
1, 110
Let k be ((-364)/168 - 1/(-6)) + -116. Let a = k + 118. Determine g, given that a + 2*g**5 + 8/5*g + 44/5*g**4 + 8*g**2 + 66/5*g**3 = 0.
-2, -1, -2/5, 0
Factor 0 - 3*x**3 - 1/3*x**5 + 9*x**2 + 18*x - 7/3*x**4.
-x*(x - 2)*(x + 3)**3/3
Let a be (1/(-2))/(206*2/48). Let y = a + 454/721. Solve 2/7*p + 2/7*p**5 + 2/7 + 2/7*p**4 - 4/7*p**2 - y*p**3 = 0.
-1, 1
Let z(c) be the third derivative of c**5/6 - 85*c**4/24 + 20*c**3/3 - 133*c**2. Factor z(h).
5*(h - 8)*(2*h - 1)
Let h = 136 + -233. Let z = -97 - h. Let z*j + 0 - 4/3*j**3 - 1/3*j**4 - 4/3*j**2 = 0. What is j?
-2, 0
Let t(u) be the first derivative of 2*u**5/35 + 22*u**4/7 + 468*u**3/7 + 676*u**2 + 21970*u/7 - 205. Factor t(r).
2*(r + 5)*(r + 13)**3/7
Let j(t) = 8*t**3 - 72*t**2 - 77*t. Let a(n) = 17*n**3 - 143*n**2 - 153*n. Let b(p) = 3*a(p) - 7*j(p). What is o in b(o) = 0?
-1, 0, 16
Let j = 18 + -14. Suppose -j*r = -10 + 2. Factor -r*o**2 + 4 - 12*o - 3 - 9 - 10.
-2*(o + 3)**2
Find u such that -12/5*u - 3/5*u**2 + 3 = 0.
-5, 1
Let k be 138/138 - (2 - (-1)/(-1)). Let l(m) be the second derivative of k*m**2 + 0 + 0*m**4 + 7*m + 1/20*m**5 + 0*m**3 - 1/30*m**6. Solve l(v) = 0 for v.
0, 1
Let c(p) = -8*p + 75. Let i be c(9). Factor -i*j + 3/5*j**4 + 3/5*j**3 - 9/5*j**2 - 6/5.
3*(j - 2)*(j + 1)**3/5
Let m(c) be the first derivative of 2*c**5/5 - c**4/2 - 6*c**3 + 9*c**2 - 76. Let m(w) = 0. Calculate w.
-3, 0, 1, 3
Let v(f) be the third derivative of -f**7/420 + f**6/60 - f**5/24 + f**4/24 - 47*f**2. Factor v(o).
-o*(o - 2)*(o - 1)**2/2
Let i(h) = 2*h**2 - 10*h - 9. Let t(d) = -5*d**2 + 20*d + 18. Let l(s) = -9*i(s) - 4*t(s). Let r be l(-4). Find j, given that 4/3*j - 1/3*j**2 - r = 0.
1, 3
Suppose 2*v - 5 = -3*m, 5*v + 7 = -0*m - m. Suppose -q + 5 = m. Suppose 2/3*x**q - 8/3 - 2*x = 0. Calculate x.
-1, 4
Factor -3*p**3 + 202037*p**2 - 2*p + 4*p**3 - 202038*p**2.
p*(p - 2)*(p + 1)
Find m, given that 4*m**3 - 3*m**3 + 45*m**2 + 3*m**2 + 9*m**2 + 4*m**2 = 0.
-61, 0
Factor 20*h**2 - 8 - 66*h - 20 + 4 - 35*h**2.
-3*(h + 4)*(5*h + 2)
What is y in 267/4*y**5 - 2 + 95*y + 353/2*y**4 - 283/4*y**3 - 531/2*y**2 = 0?
-2, 2/89, 1/3, 1
Let b(w) be the third derivative of -w**6/420 + 20*w**5/63 - 11*w**4/21 - 7*w**2 + w. Let b(y) = 0. Calculate y.
0, 2/3, 66
Let q = -15 - -49/3. Let u(r) be the first derivative of 2*r - q*r**3 - 1/3*r**6 - r**2 + 2 + r**4 + 2/5*r**5. Determine k so that u(k) = 0.
-1, 1
Let s be (2 + -6)*(0 - 3/3). Let -2*b**2 + 29*b**4 + s*b**2 + b**3 + 2*b - 3*b**3 - 31*b**4 = 0. Calculate b.
-1, 0, 1
Suppose -2*q + 12 = -2*z - 0, 0 = -q + 3*z + 8. Factor -160*r + 20*r**4 + 76*r**2 + 64 - 2*r**q + 27*r**2 + 57*r**2 - 80*r**3 + 0*r**2.
-2*(r - 2)**5
Suppose -62 = -10*p - 22. Suppose 0 = h + 3*w - 6 - 7, -4*h + p*w = -4. Solve 1/6*u**2 + u**3 - 4*u + 1/6*u**h + 8/3 = 0.
-4, 1
Let r(y) = -3*y**3 - 17*y**2 + 7*y + 9. Let z(i) = -4*i**3 - 18*i**2 + 9*i + 8. Let h(t) = -5*r(t) + 4*z(t). Let h(p) = 0. Calculate p.
-1, 1, 13
Find z such that -41/2*z - 7/2*z**2 - 17 = 0.
-34/7, -1
Let u(w) = 3*w**2 - 246*w + 247. Let f be u(81). Suppose 2*c**f + 72/5 + 242/5*c**2 - 84/5*c**3 - 264/5*c = 0. What is c?
2/5, 2, 3
Let t(r) be the third derivative of r**5/450 + 2*r**4/15 + 16*r**3/5 + r**2 + 151*r. What is i in t(i) = 0?
-12
Let g(t) be the third derivative of -5/36*t**4 + 0 + 10*t**2 - 1/180*t**5 + 0*t - 1/2*t**3. Let g(y) = 0. Calculate y.
-9, -1
Let q(a) = -5*a**3 + 3*a**2 - 4*a - 6. Let n(r) = -4*r**3 + 2*r**2 - 4*r - 5. Let b be 364/63 + 6/27. Let u(m) = b*n(m) - 5*q(m). Find x, given that u(x) = 0.
-1, 0, 4
Let x(t) be the third derivative of -1/14*t**7 - 1/12*t**5 - 5/336*t**8 - 1/8*t**6 + 0*t**3 + 0 + 0*t - 15*t**2 + 0*t**4. Solve x(w) = 0 for w.
-1, 0
Let o = -69 - -29. Let k be 4/(-20) + (-158)/o - 0. Factor k*i**2 + 3 + 3/4*i**3 + 6*i.
3*(i + 1)*(i + 2)**2/4
Find y, given that -3129/4*y**2 - 1/4*y**4 - 109/4*y**3 - 2809/2 - 8639/4*y = 0.
-53, -2, -1
Let c be 2*((-279)/(-90) - 3). Let c*r**3 + 0 + 3/5*r**2 + 2/5*r = 0. Calculate r.
-2, -1, 0
Find u such that -2/3*u**2 - 26/3 + 28/3*u = 0.
1, 13
Let y = 25471/45 + -566. Let h(l) be the second derivative of 1/18*l**4 + 0*l**2 - y*l**6 + 3*l - 1/120*l**5 + 1/36*l**3 + 0. Factor h(o).
-o*(o - 1)*(o + 1)*(4*o + 1)/6
Suppose 0*f - 1 = -f. Let o be 2 - (-2 + f) - -3. Determine t, given that 4*t**2 - 3 + 3 - 7 + o - 3*t = 0.
-1/4, 1
Let m(h) be the second derivative of -h**7/1050 - h**6/150 + 2*h**4/15 + 8*h**3/15 - 11*h**2/2 + 7*h. Let p(t) be the first derivative of m(t). Factor p(c).
-(c - 2)*(c + 2)**3/5
Let y(x) = x - 1. Let n(p) = -p**3 + 13*p**2 - 41*p + 37. Let t(v) = -n(v) - y(v). Determine d, given that t(d) = 0.
2, 9
Solve 36*m - 29*m - 10 + 0 - m**2 = 0.
2, 5
Let z(g) be the first derivative of -g**4/7 + 4*g**3/21 + 16*g**2 + 576*g/7 - 723. Determine q so that z(q) = 0.
-4, 9
Let p(a) = -3*a**2 - 21*a - 24. Let j(s) = -2*s**2 - 21*s - 24. Suppose l = -5*u + 30, 2*u = 5*l - u - 10. Let g(q) = l*p(q) - 6*j(q). Factor g(o).
-3*(o - 8)*(o + 1)
Let i(y) be the first derivative of -y**7/210 + y**5/10 - y**4/3 - 11*y**3/3 + 23. Let z(r) be the third derivative of i(r). Factor z(k).
-4*(k - 1)**2*(k + 2)
Let s(y) = 20*y**2 + 10*y + 14. Let a(x) = -98*x**2 + 99*x**2 + 2*x + 1 - x + 0. Let l(w) = 28*a(w) - 2*s(w). Factor l(j).
-4*j*(3*j - 2)
Let q(n) = 10*n**3 + 6*n**2 - 34*n + 18. Let u(v) = 9*v**3 + 5*v**2 - 33*v + 19. Let r(f) = -5*q(f) + 6*u(f). Factor r(i).
4*(i - 2)*(i - 1)*(i + 3)
Let n(q) be the second derivative of q**7/21 + q**6/5 + q**5/5 - 300*q. Let n(u) = 0. What is u?
-2, -1, 0
Solve -33*v**2 + 145*v**2 - 13*v - 40*v**2 - 40*v**2 - 33*v**2 = 0 for v.
-13, 0
Let i(z) be the first derivative of z**5/15 - z**4/4 + 2*z**3/9 + 217. Suppose i(s) = 0. What is s?
0, 1, 2
Let s be 58 - (-1 - 0)/(10/40). Let -s + 80 - h**3 - 4*h**2 - 4*h + 5*h + 2*h = 0. What is h?
-3, 2
Suppose -117*d + 4 = -115*d. Factor -3/8*t + 3/8*t**3 + 3/8*t**d - 3/8.
3*(t - 1)*(t + 1)**2/8
Factor -13/3*t + 7/6*t**2 - 4/3.
(t - 4)*(7*t + 2)/6
Let m = -6 + 6. Suppose -2*f + 4 = 3*p - 0*f, 5*f + 20 = m. Factor -4*x**p + 0*x**3 + 4*x**5 - 4*x**4 + 7*x**3 + 8*x**2 - 11*x**3.
4*x**2*(x - 2)*(x - 1)*(x + 1)
Let l(o) be the first derivative of -o**5/15 + o**4/12 + 5*o**3/9 + o**2/2 - 66. Determine s, given that l(s) = 0.
-1, 0, 3
Let j = -6359 + 31798/5. Factor 6/5 + j*b**2 - 9/5*b.
3*(b - 2)*(b - 1)/5
Let s be 4/6 - (-42468)/432*-3. Let p = -294 - s. Determine q, given that 1/8*q**2 - 3/8*q + p = 0.
1, 2
Let u = 11 + -8. Suppose 0 = -12*v - 82 + 106. Let 1/2*q**4 + 0 - 1/2*q**v + 0*q + 0*q**u = 0. What is q?
-1, 0, 1
Let d(w) be the third derivative of 0*w - 1/24*w**4 - 32*w**2 + 0*w**3 - 1/120*w**5 + 0. Let d(a) = 0. What is a?
-2, 0
Let v(j) be the second derivative of -j**5/60 + j**4/24 + 5*j**2/2 - 2*j. Let a(t) be the first derivative of v(t). Solve a(g) = 0.
0, 1
Let v = 33/20 - 23/20. Factor -1/2*c**2 + 1/2*c**3 + 1/2 - v*c.
(c - 1)**2*(c + 1)/2
Let t be (-1)/3*(-2 - (-185)/(-20)). Let b(z) = z**2 - 49*z - 209. Let l be b(-4). Suppose -3/2*q - t*q**2 - 3/4*q**4 - l*q**3 + 0 = 0. What is q?
-2, -1, 0
Suppose -3*q + b - 7 = 0, q + 4*b - 44 + 16 = 0. Factor -2/11*x**2 + 2/11 + q*x.
-2*(x - 1)*(x + 1)/11
Let 