c**3 + w*c + 2/7*c**2 - 2/7 = 0.
-1, 1
Determine h, given that 2/9*h**3 + 2/3*h**2 - 2/3 - 2/9*h = 0.
-3, -1, 1
Let v(b) be the third derivative of -8/35*b**5 + 0*b + 0*b**3 - 14*b**2 - 225/784*b**8 + 0 + 12/49*b**7 + 13/35*b**6 - 2/7*b**4. Suppose v(f) = 0. Calculate f.
-2/5, 0, 2/3
Let m(t) be the second derivative of 1445/2*t**3 + 1/4*t**5 + 12 + t + 85/4*t**4 + 24565/2*t**2. Suppose m(g) = 0. What is g?
-17
Let r(h) be the second derivative of h**5/60 - h**4/54 - h**3/54 - 245*h. Factor r(g).
g*(g - 1)*(3*g + 1)/9
Let a be (-4)/26 + 11/(-13). Let m be (4 - (a - -4))/(3/6). Suppose -m*z**2 + 0 - 2/3*z = 0. What is z?
-1/3, 0
Let y(v) = -v**2 + 17*v - 19. Suppose l - 75 = -4*l. Let r be y(l). Factor -r*h**5 + h**4 + 24*h**5 - 14*h**5.
-h**4*(h - 1)
Let w = -229 + 232. Suppose 4 = -w*p + 2*s, -s + 21 - 6 = 5*p. Factor -9/5*b**4 - 18/5*b**p - 26/5*b**3 + 27/5*b - 1/5*b**5 + 27/5.
-(b - 1)*(b + 1)*(b + 3)**3/5
Let c(y) be the first derivative of -3*y**4/4 - 7*y**3/8 + 291*y**2/16 - 9*y/2 - 213. Suppose c(o) = 0. What is o?
-4, 1/8, 3
What is y in 33/5*y**2 - 8/5*y**3 - 44/5 - 1/5*y**4 - 4/5*y = 0?
-11, -1, 2
Let g(i) be the third derivative of -i**5/150 + 23*i**4/40 - 17*i**3/15 + 133*i**2 + 2. Determine v, given that g(v) = 0.
1/2, 34
Suppose 0 = -2*u - 3*u. Suppose u*h + 6 = 2*h. Suppose -2*d**2 + 4*d**2 - 6*d**h + 0*d + 4*d = 0. What is d?
-2/3, 0, 1
Let v(c) be the first derivative of c**4/14 - 4*c**3/21 + c**2/7 - 43. Factor v(w).
2*w*(w - 1)**2/7
Let z = 1037/9 - 115. Let n = 34445/9 - 3827. Factor 0 + n*x**4 + 0*x + 0*x**3 - z*x**2.
2*x**2*(x - 1)*(x + 1)/9
Let l(s) = 7*s**3 - 322*s**2 + 9404*s - 17504. Let c(w) = 15*w**3 - 642*w**2 + 18810*w - 35010. Let b(y) = -4*c(y) + 9*l(y). Factor b(u).
3*(u - 54)**2*(u - 2)
Let o(z) be the third derivative of -49*z**8/12 + 182*z**7/15 - 63*z**6/5 + 92*z**5/15 - 4*z**4/3 + z**2 + 7. Factor o(t).
-4*t*(t - 1)*(7*t - 2)**3
Let g(m) be the second derivative of m**4/42 - 5*m**3/7 - 16*m**2/7 - 71*m. Factor g(t).
2*(t - 16)*(t + 1)/7
Let w(n) be the third derivative of -n**5/30 + 3*n**4/2 - 17*n**3/3 + 96*n**2. Factor w(a).
-2*(a - 17)*(a - 1)
Suppose 5 - 3 = y. Solve -6*r**3 - 3*r**y - r**3 + 3*r**4 + 7*r**3 = 0.
-1, 0, 1
Suppose 7*h = 4*h + 12. Factor 6*d - h + 15*d**2 + 6*d - 30*d**2 + 3*d**2 + 4*d**3.
4*(d - 1)**3
Let v = 0 - -1. Let g be (0 + v)/(2/10). Factor 10*s**2 + 3*s**g + s**5 + 14*s**4 - 2*s + 18*s**3 + 4*s.
2*s*(s + 1)**3*(2*s + 1)
Suppose -v + 4*t - 8 = 0, 2*v = 5*v - t + 35. Let x = v - -12. Determine o so that -2/5*o**2 + x + 0*o = 0.
0
Let d = 3/610 - -77/9150. Let c(o) be the second derivative of 1/5*o**2 + 0 + 0*o**5 + o - 1/15*o**4 + 0*o**3 + d*o**6. What is k in c(k) = 0?
-1, 1
Let k(m) be the second derivative of -m**4/42 - 8*m**3/7 - 144*m**2/7 - 175*m. Suppose k(q) = 0. What is q?
-12
Let s(t) be the first derivative of -5*t**3/3 + 5*t**2/2 + 60*t + 445. Factor s(c).
-5*(c - 4)*(c + 3)
Factor -6*n**3 + 9*n**3 + 12*n**2 + 0*n**3 + 72*n - 56*n**2 + n**3.
4*n*(n - 9)*(n - 2)
Let i be 3/((-3)/2 - -3). Factor 10*w**2 + 3*w**4 - i*w**4 - 13*w**2 - w + 3*w.
w*(w - 1)**2*(w + 2)
Let t(u) be the second derivative of 0 + 19/6*u**3 - 3*u**2 + 5*u + 7/12*u**4. Find i such that t(i) = 0.
-3, 2/7
Solve 8/9*l**2 + 0 - 8/3*l + 2/9*l**3 = 0 for l.
-6, 0, 2
Let b be 16 + (15 - 30) + 10/(-24). Let m(i) be the second derivative of 5/24*i**4 + 1/40*i**5 + i + 3/4*i**2 + b*i**3 + 0. What is x in m(x) = 0?
-3, -1
Let z(q) = 7*q - 29. Let o be z(6). Suppose 14*r = o + 15. Factor -1/2*g**4 + 0*g - 1/4*g**3 - 1/4*g**5 + 0 + 0*g**r.
-g**3*(g + 1)**2/4
Factor -2/7*z**4 + 4/7*z**2 + 0 + 0*z + 2/7*z**3.
-2*z**2*(z - 2)*(z + 1)/7
Suppose -7*v = 1 - 43. Let y be (v/(-3))/(2/(-4)). Factor 1/10*l - 1/10 + 9/10*l**2 + 11/10*l**3 + 2/5*l**y.
(l + 1)**3*(4*l - 1)/10
Suppose -28 = -3*k + 68. Let u = k - 32. Find n, given that -1/2*n**3 + u - n + 3/2*n**2 = 0.
0, 1, 2
Suppose 3 = -h - 88. Let z = -89 - h. Find m such that -1/3*m**z + 2/3 - 1/3*m = 0.
-2, 1
Let j = 57 - 57. Suppose -v + 54 - 49 = j. Find s such that 3/5*s**v + 0*s + 0 + 9/5*s**4 + 0*s**2 + 6/5*s**3 = 0.
-2, -1, 0
What is g in 20*g**4 - 116*g**2 + 8*g - 5376*g**5 + 5380*g**5 - 12*g**3 + 64 + 32 = 0?
-4, -3, -1, 1, 2
Let t(b) = -6*b**5 + 44*b**4 + 162*b**3 + 42*b**2 - 14. Let k(r) = 2*r**5 - 15*r**4 - 56*r**3 - 14*r**2 + 5. Let p(h) = -14*k(h) - 5*t(h). Factor p(o).
2*o**2*(o - 7)*(o + 1)**2
Suppose 66*d**2 + 764*d - 19*d + 720 - 41*d**2 = 0. What is d?
-144/5, -1
Let g(c) be the third derivative of -4*c**6/15 - 76*c**5/15 - 33*c**4 - 54*c**3 + 438*c**2. Determine f, given that g(f) = 0.
-9/2, -1/2
Suppose -53*r - 80*r**2 + 13*r + 29*r**2 - 24*r**2 + 10*r**3 = 0. What is r?
-1/2, 0, 8
Let d be ((-4)/(-12)*-2)/((-2)/9). Let -11*w**4 - 5*w**3 + 4*w - 8 + 4*w**5 + 3*w**4 - 3*w**d + 0*w**4 + 16*w**2 = 0. What is w?
-1, 1, 2
Let c(h) be the third derivative of h**5/15 - 7*h**4 + 294*h**3 - h**2 - 8. Factor c(t).
4*(t - 21)**2
Let n(d) = -247*d**3 - 1678*d**2 - 65*d + 91. Let q(b) = -82*b**3 - 560*b**2 - 22*b + 30. Let a(x) = -2*n(x) + 7*q(x). Let a(r) = 0. Calculate r.
-7, -1/4, 1/5
Let b be 3/2*(-10)/(-3). Suppose 55 = 91*u - 80*u. What is o in -4*o**4 - o**5 + 6*o**u - 3*o**b = 0?
0, 2
Let s(y) be the first derivative of 5*y**3/9 + 41*y**2/3 + 32*y/3 - 35. Find m, given that s(m) = 0.
-16, -2/5
Factor -103 + 113 - 48*f + 50 + 3*f**2 + 132.
3*(f - 8)**2
Let i(l) be the third derivative of -l**5/270 + l**4/27 - 162*l**2. Determine b, given that i(b) = 0.
0, 4
Suppose -1413*m**2 - 720*m**3 - 93*m**4 + 174*m**2 + 12*m**4 - 3*m**5 - 422*m**2 - 439*m**2 = 0. Calculate m.
-10, -7, 0
Let a(l) = -9*l + 13. Let n be a(5). Let z be (-6*4/n)/3. Factor z*d**3 + 1/4*d**2 - d - 1.
(d - 2)*(d + 1)*(d + 2)/4
Let s(g) be the first derivative of 3/7*g - 1/2*g**2 - 1/28*g**4 + 26 + 5/21*g**3. Factor s(m).
-(m - 3)*(m - 1)**2/7
Let i be (-49 + 38)/(15/(-5)). Determine h so that i*h**4 - 5/3*h**2 - 2*h**5 + 2/3*h - 2/3*h**3 + 0 = 0.
-2/3, 0, 1/2, 1
Let g = 183 - 181. Suppose 0 = -2*y + g*c + 8 - 4, -5*y + 10 = 3*c. Factor -8/9*v - 8/9 - 2/9*v**y.
-2*(v + 2)**2/9
Let g = -968 - -11609/12. Let j = 11/12 + g. Find w, given that 4/3*w - j*w**2 - 4/3 = 0.
2
Suppose -t - 4*m = 9, 2*t - 8*m + 3 = -11*m. Factor -5/4*f**2 - 1/4*f - 3/4*f**t + 1/4.
-(f + 1)**2*(3*f - 1)/4
Factor 106/3 + 104/3*g - 2/3*g**2.
-2*(g - 53)*(g + 1)/3
Let i(a) be the third derivative of a**8/840 - a**6/75 + a**5/75 + a**4/20 - 2*a**3/15 + 2*a**2 - 5. Factor i(w).
2*(w - 1)**3*(w + 1)*(w + 2)/5
Suppose 0 = 3*m - 5*u - 4, 4*u = 3*m - 6 + 1. Factor 0 - 3 + m + 4*b**2.
4*b**2
Factor -2*g**3 + 8*g**4 + 5*g**2 - 40*g**2 + 20*g + 9*g**2.
2*g*(g - 1)*(g + 2)*(4*g - 5)
Let v(k) be the third derivative of k**7/14 + 9*k**6/20 + 3*k**5/5 - k**4 + 87*k**2. Determine a so that v(a) = 0.
-2, 0, 2/5
Let j(a) = 2*a**2 + 44*a + 253. Let u(i) = -i**2 - 22*i - 127. Let z(m) = -6*j(m) - 11*u(m). Suppose z(l) = 0. Calculate l.
-11
Suppose 0 = c + 4*r + 2, -c + 5*r - 41 + 48 = 0. Let n(j) be the second derivative of 0*j**c - 1/8*j**3 + 3/80*j**5 - j + 0*j**4 + 0. Factor n(s).
3*s*(s - 1)*(s + 1)/4
Let f(z) be the first derivative of z**3/2 - 3*z**2/2 + 3*z/2 + 40. Factor f(l).
3*(l - 1)**2/2
Let i(z) be the second derivative of -1/12*z**3 + 0 - 1/2*z**2 - 3*z + 1/24*z**4. Factor i(a).
(a - 2)*(a + 1)/2
Let m(v) be the third derivative of -1/60*v**6 + 3*v**3 + 0*v - 5/4*v**4 + 0 + 7/30*v**5 + 14*v**2. Let m(f) = 0. Calculate f.
1, 3
Let a(d) be the first derivative of 4 + 0*d**2 + 1/6*d - 1/18*d**3. Solve a(p) = 0 for p.
-1, 1
Let m(q) be the second derivative of -q**6/15 - 2*q**5/5 + q**4/6 + 16*q**3/3 + 12*q**2 - 317*q. Let m(c) = 0. Calculate c.
-3, -2, -1, 2
Suppose 0 + 1/10*z**2 - 109/10*z = 0. Calculate z.
0, 109
Factor 58*z**3 + 15*z + z**4 - 8 - 6*z**4 + 25*z**2 - 73*z**3 - 12.
-5*(z - 1)**2*(z + 1)*(z + 4)
Solve -2*b + 8/11*b**2 + 12/11 + 2/11*b**3 = 0 for b.
-6, 1
Suppose -4*m = m. Suppose 6*w - 27 = w + 3*q, -3*w - q + 19 = m. Factor -w*r + 56*r**2 + r - 98*r**3 - 3*r.
-2*r*(7*r - 2)**2
Let k(h) be the first derivative of 8/11*h**2 + 6 - 10/33*h**3 + 8/11*h. What is p in k(p) = 0?
-2/5, 2
Let h = -1888 - -7553/4. Let u(l) = l**2 - 5*l. Let y be u(5). Factor y + h*t**3 + 0*t + 0*t**2.
t**3/4
Factor -9*n - 9/2*n**2 + 0 +