z + 0 + 2/5*z**3 = 0.
-2, 0, 1
Suppose -11 - 5 = -8*d. Factor -o**d - 2*o**2 + 13*o + 18*o - 28*o.
-3*o*(o - 1)
Let n(m) = 23*m**2 - 16*m - 47. Let p(g) = 15*g**2 - 10*g - 30. Let x(l) = 5*n(l) - 8*p(l). Factor x(q).
-5*(q - 1)*(q + 1)
Let w be (-16)/(-20) + 46/5. Solve 25*p - 60*p**2 + 22*p**2 - w + 23*p**2 = 0 for p.
2/3, 1
Find x, given that 77*x**5 - 19676*x**3 - 240*x**4 + 19861*x**3 + 210*x**2 - 32*x**5 + 40*x = 0.
-1/3, 0, 2, 4
Let z(o) be the second derivative of 5*o**7/42 + o**6/3 - 7*o**5/4 - 25*o**4/3 - 10*o**3 - 138*o - 1. Factor z(u).
5*u*(u - 3)*(u + 1)*(u + 2)**2
Let v be (-12 + 0)*(-1 + 5). Let a be (-4)/12 + v/(-9). Factor -8*t**3 + 4*t**4 + 3*t**3 - t**5 + 2*t**2 + 0*t**a.
-t**2*(t - 2)*(t - 1)**2
Let p(b) be the second derivative of -b**5/20 - b**4/12 + b**3/3 - 76*b. Factor p(j).
-j*(j - 1)*(j + 2)
Solve -8 + 166*t**4 + 164*t**4 - 6*t**2 - 328*t**4 - 16*t + 4*t**3 = 0 for t.
-2, -1, 2
Let i(p) = -p**2 + 26*p - 65. Let f be i(15). Let x = f + -97. Let 10/7*r**4 + 0 + 8/7*r**2 - 26/7*r**x + 8/7*r = 0. What is r?
-2/5, 0, 1, 2
Let q(c) = 9*c**5 + 13*c**4 + 10*c**3 + 18*c**2 + 5*c - 7. Let o = -28 - 12. Let x(p) = p**5 + p**4 + p**2 - 1. Let v(k) = o*x(k) + 5*q(k). Factor v(j).
5*(j + 1)**5
Let o(i) be the first derivative of i**3/15 - 13*i**2/10 + 6*i + 62. Find n such that o(n) = 0.
3, 10
Let l(k) be the third derivative of -7/12*k**4 - 2/3*k**3 + 27*k**2 - 4/15*k**5 - 1/20*k**6 + 0*k + 0. Suppose l(c) = 0. What is c?
-1, -2/3
Let 48*d - 50/7*d**2 + 2/7*d**3 - 288/7 = 0. Calculate d.
1, 12
Let o(u) = u + 8. Let b be o(4). Factor -25*v**3 - 14*v - b*v**2 + 24*v - 3*v**2.
-5*v*(v + 1)*(5*v - 2)
Let r(k) be the second derivative of 1/345*k**6 + 2/115*k**5 + 2/69*k**3 + 0 - 12*k + 0*k**2 + 5/138*k**4. Solve r(v) = 0.
-2, -1, 0
Let q be 9154/(-40) - (-16)/160. Let j = 231 + q. Factor -1/2 - j*w**2 - 11/4*w.
-(w + 1)*(9*w + 2)/4
Let p be 2/(-10)*(-280)/21*1. Let d(r) be the first derivative of 0*r - 4/7*r**2 - 3 - 7/2*r**4 - p*r**3. Determine b, given that d(b) = 0.
-2/7, 0
Let z(o) = 9*o**4 - 8*o**3 - o**2 - 5*o + 5. Let b = -50 - -57. Let u(n) = -13*n**4 + 12*n**3 + n**2 + 7*n - 7. Let d(l) = b*z(l) + 5*u(l). Factor d(y).
-2*y**2*(y - 1)**2
Let a be 21/(-3) + ((-4656)/(-168) - 19). Factor -a*c**3 - 4/7*c**2 + 0*c - 12/7*c**4 - 4/7*c**5 + 0.
-4*c**2*(c + 1)**3/7
Factor 1/4*b + 0 + 1/4*b**3 + 1/2*b**2.
b*(b + 1)**2/4
Let y(p) = -p**3 + 43*p**2 - 85*p + 47. Let x(h) = 5*h**3 - 172*h**2 + 338*h - 189. Let j(m) = -2*x(m) - 9*y(m). Suppose j(s) = 0. Calculate s.
-45, 1
Let s be (-1 + 4)/((-12)/(-856)*1). Let c = 1501/7 - s. Factor 0*o + c*o**2 - 3/7.
3*(o - 1)*(o + 1)/7
Factor -10/3*v + 10/3*v**3 + 4/3*v**2 - 4/3.
2*(v - 1)*(v + 1)*(5*v + 2)/3
Let a(z) be the first derivative of z**4/6 - 106*z**3/9 + 103*z**2/3 - 34*z + 83. Find p, given that a(p) = 0.
1, 51
Let u(k) be the first derivative of -k**6/4 + 27*k**5/10 - 93*k**4/8 + 51*k**3/2 - 30*k**2 + 18*k + 178. Determine b so that u(b) = 0.
1, 2, 3
Let b(f) = -2*f**2 + 11*f + 6. Let a be b(6). Let c be (-1)/(-5)*a + 4/2. Find o, given that -27/2*o**3 - c*o - 9/2*o**4 - 10*o**2 + 0 = 0.
-2, -2/3, -1/3, 0
Solve 0 - 1936/9*f**3 - 1/9*f - 88/9*f**2 = 0 for f.
-1/44, 0
Let g(r) be the third derivative of 2*r**7/105 + 11*r**6/30 + 22*r**5/15 - 10*r**4 - 48*r**3 + 4*r**2 - 5*r. Suppose g(h) = 0. What is h?
-6, -1, 2
Suppose -4*g + 7*d - d - 36 = 0, -3*g + 18 = 3*d. Factor -3/2*t**2 + g - 3/4*t - 3/4*t**3.
-3*t*(t + 1)**2/4
Let o(z) be the second derivative of z**8/6720 + z**7/630 + z**6/240 + 19*z**4/12 - 30*z. Let f(d) be the third derivative of o(d). Suppose f(b) = 0. What is b?
-3, -1, 0
Factor w**2 - 47/8*w + 39/8.
(w - 1)*(8*w - 39)/8
Let t(k) = -3*k - 6. Let j be t(-3). Suppose 0*o - o = -j. Factor -32/5*n**4 + 16*n**o + 4*n - 2/5 - 66/5*n**2.
-2*(n - 1)**2*(4*n - 1)**2/5
Let x(t) be the second derivative of -t**5/5 - 4*t**4/3 + 10*t**3/3 + 80*t. Factor x(f).
-4*f*(f - 1)*(f + 5)
Suppose 0 = 7*c + 7*c. Let f(j) be the second derivative of -3*j**2 - 3/2*j**7 + c + 32/5*j**6 + 9/2*j**4 - 48/5*j**5 - 5*j + 5/2*j**3. Solve f(a) = 0 for a.
-2/7, 1/3, 1
Let d = -201 - -208. Let a(k) be the second derivative of -3*k**2 + d*k - 3/2*k**3 + 0 + 3/20*k**5 + 0*k**4. Factor a(h).
3*(h - 2)*(h + 1)**2
Suppose -3*s - 5*k = 6, -13*s + 11*s - 3*k - 3 = 0. Factor -8/5*i**4 + 1/5*i - 6/5*i**2 + 0 + 12/5*i**s.
-i*(2*i - 1)**3/5
Let z(b) be the third derivative of 0*b**4 + 0 + 0*b**3 + 0*b - 13*b**2 - 1/105*b**7 + 1/168*b**8 + 2/15*b**5 - 1/15*b**6. Solve z(d) = 0 for d.
-2, 0, 1, 2
Find f, given that -30*f + 12*f**2 + 27*f**3 - 182528*f**4 + 3*f**5 + 21*f**2 + 182495*f**4 = 0.
-1, 0, 1, 10
Let m = 29 + -37. Let w = 10 + m. What is b in 3*b**3 - b**3 + 2*b**3 + 96*b + 128 - w*b**3 + 24*b**2 = 0?
-4
Let q(x) be the second derivative of 2*x**2 - 1/4*x**4 + 8*x - 1/30*x**6 + 0 + 1/5*x**5 - 2/3*x**3. Factor q(b).
-(b - 2)**2*(b - 1)*(b + 1)
Let v(i) be the first derivative of i**3/3 - i**2 - 427. What is f in v(f) = 0?
0, 2
Let v be (-7)/(((-18)/4)/(-9)). Let x be v/7 + (-44)/(-6). Let 10/3*d**5 - x*d**4 + 4/3*d**2 + 0*d + 0 + 2/3*d**3 = 0. What is d?
-2/5, 0, 1
Let l(d) be the second derivative of d**7/168 - d**6/5 + 23*d**5/80 + 192*d. Find o, given that l(o) = 0.
0, 1, 23
Suppose 4/7*u**2 - 12/7*u - 16/7 = 0. What is u?
-1, 4
Let p(y) be the third derivative of 5*y**8/336 + y**7/21 - y**6/4 - y**5/3 + 65*y**4/24 - 5*y**3 + 2*y**2 + 7. Factor p(b).
5*(b - 1)**3*(b + 2)*(b + 3)
Let b(n) be the first derivative of 0*n - 5/4*n**4 - 5/3*n**3 + 1 + 0*n**2. Factor b(c).
-5*c**2*(c + 1)
Let b = 8 - 11. Let r be 14/4 + b/(-6). Factor 0 + 0*p + 3/2*p**r - 3*p**2 - 3/2*p**3.
3*p**2*(p - 2)*(p + 1)/2
Suppose -4*f + 6 + 2 = 0. What is v in v**2 - 118 + 108 - 5*v + 4*v**f = 0?
-1, 2
Let j = -839 - -842. What is u in 2/9*u**j + 0 + 0*u - 1/9*u**4 + 0*u**2 = 0?
0, 2
Let s(j) = -4*j - 12. Let c be s(-4). Let 3*q**2 + 0*q + q**3 - q - 2*q**2 - 4*q**c + 3*q**4 = 0. What is q?
-1, 0, 1
Let u be (235 + 5)/(-1) - 1. Let r = u - -728/3. Factor 40*d**2 + 40/3*d**3 + 160/3*d + r*d**4 + 80/3.
5*(d + 2)**4/3
Let j be (-7 - -9) + 0/1. Factor -3*d**2 + 8*d**2 + j*d**3 - 7*d**3.
-5*d**2*(d - 1)
Let d(j) be the third derivative of j**9/52920 - j**8/5880 + j**7/2940 + 7*j**4/12 + 5*j**2. Let f(b) be the second derivative of d(b). Factor f(q).
2*q**2*(q - 3)*(q - 1)/7
Let r(x) be the second derivative of x**7/1400 - x**6/200 - 4*x**3/3 + x. Let c(w) be the second derivative of r(w). Let c(j) = 0. What is j?
0, 3
Suppose 0 = 5*i - 3*c + 18, 2*c = 2*i + 31 - 19. Find m such that -2/3*m**4 + i*m + 1/2*m**3 + 0 + 1/6*m**5 + 0*m**2 = 0.
0, 1, 3
Factor 1/3*w**2 + 0 - w.
w*(w - 3)/3
Let a = 29765/9 + -3307. Suppose 8/9*k**2 + a*k**3 + 0 - 10/9*k = 0. What is k?
-5, 0, 1
Let k(i) be the second derivative of 0 + i - 10/3*i**3 + 0*i**2 - 2*i**4 - 1/5*i**5. Let k(u) = 0. Calculate u.
-5, -1, 0
Suppose -t - 3*o = 4*t + 145, 3*o - 143 = 4*t. Let q be 1*-2*-2*(-4)/t. What is b in 1 + 1/2*b**4 - 3/2*b**2 - q*b + 1/2*b**3 = 0?
-2, -1, 1
Let j(d) be the first derivative of d**6/3 - 2*d**5 - 3*d**4/2 + 34*d**3/3 - 10*d**2 + 41. What is l in j(l) = 0?
-2, 0, 1, 5
Suppose -m + 17 = r, 9 = 4*m + 3*r - 54. Let w(t) = t**2 - 17*t + 91. Let o be w(11). What is q in 4*q + 0*q + 21*q**4 - o*q**4 - m*q**2 + 12*q**3 = 0?
0, 1
Let h = 36060 + -108176/3. Determine a, given that h*a**2 + 196/3 + 56/3*a = 0.
-7
Let u(r) be the third derivative of 15*r**8/616 - 101*r**7/385 + 307*r**6/330 - 18*r**5/11 + 18*r**4/11 - 32*r**3/33 + 35*r**2. Find y such that u(y) = 0.
2/5, 2/3, 1, 4
Let p(t) = 5*t**2 - t - 1. Let m be p(1). Determine h so that -6 - h - 186*h**2 + 5*h - 2 - 4*h**m + 194*h**2 = 0.
-1, 1, 2
Let f(t) be the first derivative of -1/105*t**5 + 8/21*t**3 + 0*t + 4 + 0*t**4 + 9/2*t**2. Let o(r) be the second derivative of f(r). Factor o(z).
-4*(z - 2)*(z + 2)/7
Suppose -9*o = -3*u - 11*o + 2, -5*u - 5 = -5*o. Solve u + 1/2*l**2 - l = 0.
0, 2
Let s(n) be the first derivative of -n**6/7 + 8*n**5/35 + 2*n**4/7 + 59. Solve s(r) = 0.
-2/3, 0, 2
Let x(b) = b + 1. Let r be x(3). Let l be (-32)/(-12)*(1023/110 - 9). Factor 4/5*q**r + 0 - 4/5*q**3 - l*q**2 + 4/5*q.
4*q*(q - 1)**2*(q + 1)/5
Let s(m) be the second derivative of -3*m**5/20 - m**4/4 + m**3 + m - 34. Determine 