(m) be the first derivative of -k - 3/4*m**2 - 1/4*m**3 - 3/4*m. Solve s(v) = 0 for v.
-1
Suppose 0 = 4*i - 3*n - 11, 0 = 5*i - 0*n - n - 22. Let t be 7/(-28) + i/4 + 1. Factor 2/7*j**t + 2/7*j**3 + 0 - 2/7*j - 2/7*j**4.
-2*j*(j - 1)**2*(j + 1)/7
Let s(u) be the third derivative of u**5/3 + 89*u**4/24 - 9*u**2. Let k(r) = -5*r**2 - 22*r. Let d(g) = 9*k(g) + 2*s(g). Solve d(x) = 0 for x.
-4, 0
Let r be 56/(-8) + (-1)/(-1). Let c(v) = v**2 + 4*v - 7. Let g be c(r). Find f, given that 3*f + f**2 + f**2 + 3*f - g*f**2 - 3*f**3 = 0.
-2, 0, 1
Let r be (-1958)/267 - (-13 - (-2 - 0)). What is b in r*b**3 + 7/3*b**4 - 1/6*b + 2*b**2 - 1/3 + 1/2*b**5 = 0?
-2, -1, 1/3
Let j = 56 + -52. Factor -19*l - 2*l**2 + 10*l**3 + 17*l**2 - 20 - l - 5*l**j.
-5*(l - 2)**2*(l + 1)**2
Factor -4*r - 2/5*r**2 - 18/5.
-2*(r + 1)*(r + 9)/5
Factor -2*b + 0 - 2/7*b**2.
-2*b*(b + 7)/7
Let d(z) = 7*z**2 - 5*z - 27. Let n(x) = 12*x**2 - 10*x - 53. Let j(y) = -5*d(y) + 3*n(y). Let o be j(8). Factor -1/3*c**3 - 2/3*c + o + c**2.
-c*(c - 2)*(c - 1)/3
Let z(h) be the second derivative of -3*h**5/40 + h**4/12 + h**3/12 - 18*h - 8. Factor z(p).
-p*(p - 1)*(3*p + 1)/2
Let u(c) be the first derivative of -8*c**3/3 - 35*c**2 - 108*c - 54. Factor u(m).
-2*(m + 2)*(4*m + 27)
Let z(n) be the first derivative of -n**4/8 - 11*n**3/6 - 35*n**2/4 - 25*n/2 - 126. Factor z(o).
-(o + 1)*(o + 5)**2/2
Let y(o) be the first derivative of -1/14*o**4 + 14 + 0*o**2 + 1/21*o**6 - 4/35*o**5 + 0*o + 4/21*o**3. Suppose y(s) = 0. Calculate s.
-1, 0, 1, 2
Suppose 30*f - 747 = -207. Let p be 17/(-45) + f/30. Factor 2/9*n**3 + 2/9*n**2 - p*n**4 - 2/9*n + 0.
-2*n*(n - 1)**2*(n + 1)/9
Determine p, given that 69 - 141 - 44*p + 22*p**2 + 88 + 6*p**2 = 0.
4/7, 1
Suppose 0 + 1/5*r**3 + 3/5*r - 4/5*r**2 = 0. Calculate r.
0, 1, 3
Let z(h) be the second derivative of h**7/1680 + h**6/80 + h**5/10 - 5*h**4/4 + 14*h. Let q(r) be the third derivative of z(r). Factor q(v).
3*(v + 2)*(v + 4)/2
Let m = -145 + 152. Suppose -2*i - q + m = 0, 4*i + 3*q - 29 = 6*q. Factor 0 - 3/4*w**3 + 3/4*w**i + 0*w**4 + 0*w + 0*w**2.
3*w**3*(w - 1)*(w + 1)/4
Let g = 97 + -150. Let i = g + 56. Factor 1/2 + 3/2*p**i + 7/2*p**2 + 5/2*p.
(p + 1)**2*(3*p + 1)/2
Let k(y) = y**5 + 10*y**4 + 4*y**3 - 2*y**2 + 3*y. Let s(j) = j**5 + j**4 + j**3 + j**2. Let v(t) = k(t) - 4*s(t). Determine z, given that v(z) = 0.
-1, 0, 1
Let t(g) = 11*g**3 - 26*g**2 - 39*g + 19. Let x(f) = -5*f**3 + 13*f**2 + 19*f - 10. Let k(l) = 4*t(l) + 9*x(l). Let p be k(14). Solve p - 1/3*y + 1/3*y**2 = 0.
0, 1
Let b = -672 + 676. Let m(z) be the second derivative of -9*z + 0*z**3 - 1/18*z**b + 1/30*z**5 + 0*z**2 + 0. Find n, given that m(n) = 0.
0, 1
Let a(c) be the second derivative of c**5/60 - c**4/9 + 2*c**3/9 + 7*c**2 - 7*c. Let p(x) be the first derivative of a(x). Factor p(h).
(h - 2)*(3*h - 2)/3
Suppose 0 = 111*q - 52 - 132 - 38. Suppose 98/3 - 26/3*j**q + 2/3*j**3 + 70/3*j = 0. What is j?
-1, 7
Let i be -3 - (-3)/(-27)*-39. Factor -1/3*m**2 - i*m - 1.
-(m + 1)*(m + 3)/3
Let u = 5 - 3. Let v be (14/168)/(((-27)/1452)/(-9)). Determine y so that v*y**u + 44/3*y + 4/3 = 0.
-2/11
Let w(v) be the second derivative of 2*v - 1/20*v**6 + 0*v**2 + 1/56*v**7 - 1/8*v**3 + 0 + 0*v**5 + 1/8*v**4. Let w(p) = 0. Calculate p.
-1, 0, 1
Let a(o) be the second derivative of o**4/12 - 17*o**3/3 + 4*o - 17. Factor a(g).
g*(g - 34)
Suppose -12/5*h**4 + 33/5*h - 6/5*h**2 + 18/5 - 36/5*h**3 + 3/5*h**5 = 0. What is h?
-1, 1, 6
Suppose -3/7*h**4 + 600/7*h - 270/7*h**2 - 375/7 + 48/7*h**3 = 0. Calculate h.
1, 5
Let i(p) be the second derivative of p**6/2520 + p**5/420 - 5*p**3/2 - 5*p. Let l(m) be the second derivative of i(m). Let l(k) = 0. Calculate k.
-2, 0
Let j(f) be the third derivative of f**8/2520 + 2*f**7/315 + 4*f**6/135 - 14*f**3/3 - 29*f**2. Let i(p) be the first derivative of j(p). Solve i(a) = 0 for a.
-4, 0
Suppose 56 = 49*x + 17 - 108. Find s, given that -3/4 + 3/2*s**x + 3/4*s**2 - 3/2*s = 0.
-1, -1/2, 1
Let q(h) be the first derivative of -5*h**5/6 - 10*h**4/9 - 4*h**3/9 - 6*h - 2. Let t(b) be the first derivative of q(b). Find l, given that t(l) = 0.
-2/5, 0
Let z(u) = u**2 + 3*u - 1. Let c be -3*3*(-20)/(-45). Let x be z(c). Factor -1/2*a**2 - a**x - 1/2*a**4 + 0*a + 0.
-a**2*(a + 1)**2/2
Let n(z) be the second derivative of -z**8/5040 - z**7/1260 + z**6/1080 + z**5/180 - z**3/2 + 9*z. Let h(y) be the second derivative of n(y). Factor h(v).
-v*(v - 1)*(v + 1)*(v + 2)/3
Let u(a) be the first derivative of 1/3*a**3 - 1/6*a**6 + 14 + 1/4*a**4 + 0*a - 1/5*a**5 + 0*a**2. What is v in u(v) = 0?
-1, 0, 1
Let t = 1504 - 1500. Let a(k) be the third derivative of 1/360*k**5 - 11*k**2 + 0*k**3 + 0*k**t + 0 + 0*k. Factor a(v).
v**2/6
Suppose -3*p + 12 = 3*b, 3*b = -21 + 24. Factor -8/17*h - 20/17*h**2 + 2/17*h**5 + 8/17*h**4 + 16/17 + 2/17*h**p.
2*(h - 1)**2*(h + 2)**3/17
Suppose 0*r**3 + 19735*r + 6*r**3 - r**4 - 19731*r - 9*r**2 = 0. What is r?
0, 1, 4
Determine m, given that 2/13*m**2 + 28/13 - 18/13*m = 0.
2, 7
Let q be 2/(-4)*-12 - 6. Suppose -3*v + 21 = 2*y, q = -5*y + 5*v - 3 - 7. Find w, given that 8/5*w**4 + 14/5*w**y - 2/5*w + 0 + 4/5*w**2 = 0.
-1, 0, 1/4
Let x = 78 + 6. Solve -112*r + 784*r**3 - 756*r**2 + 4*r - 4 + x*r**2 = 0.
-1/14, 1
Let m = 41 + -23. Suppose -5*w = -x - 23, 4*w - 7 = -3*x - 0. Find s such that -2*s**w + 8 - 10*s + 2*s**3 + 17*s + 15*s + m*s**2 = 0.
-1, 4
Let r be 114/27 + (-8)/36. Let x be r - 8/(-4 + 8). Factor 0*a**2 + 3*a**x + 4*a - 2*a**2 + 3.
(a + 1)*(a + 3)
Let r = 54 + -51. Suppose -2*q**3 + 12*q**2 - 16 - 5*q**3 + 3*q**r = 0. What is q?
-1, 2
Let c = 11/18 + -5/9. Let k(v) be the third derivative of 0*v + 7*v**2 + 1/90*v**5 + 1/9*v**3 + 0 + c*v**4. Find l such that k(l) = 0.
-1
Let 51*d**2 - 18*d + 39 - 12 - 48*d**2 = 0. Calculate d.
3
Factor -171*m**2 + 3*m**3 + 62224 + 224*m**2 + 355*m**2 + 94992 + 13872*m + m**3.
4*(m + 34)**3
Let z(r) be the third derivative of r**7/14 + r**6/24 - r**5/4 - 5*r**4/24 + 3*r**2 + 6. Factor z(x).
5*x*(x - 1)*(x + 1)*(3*x + 1)
Let r(f) be the second derivative of f**8/3360 - f**6/360 + f**4/4 - 8*f. Let b(v) be the third derivative of r(v). What is i in b(i) = 0?
-1, 0, 1
Suppose -g = -2*o, 2*g + 12 = -2*o - 6. Let m be (-135)/(-21) + g + 1. What is r in -8/7*r**4 + m*r**3 + 0*r + 2/7*r**5 + 0 - 4/7*r**2 = 0?
0, 1, 2
Let i be -2*(-5)/2 + 2 + -5. Let r be (-4 - (-128)/28)/(i*1). Solve r*g**2 + 0 - 2/7*g = 0.
0, 1
Let i(z) be the second derivative of z**6/15 + 4*z**5/5 + 7*z**4/2 + 22*z**3/3 + 8*z**2 - 117*z. Factor i(v).
2*(v + 1)**2*(v + 2)*(v + 4)
Let g = -1097 + 1099. Let m(w) be the second derivative of 7/20*w**6 - 3/8*w**5 - w + 0*w**g + 0 + 1/8*w**4 - 3/28*w**7 + 0*w**3. Factor m(i).
-3*i**2*(i - 1)**2*(3*i - 1)/2
Let x(t) = -4*t**2 + 17*t - 6. Let a(f) = 28*f**2 - 120*f + 40. Let w(k) = 6*a(k) + 44*x(k). Factor w(y).
-4*(y - 2)*(2*y - 3)
Find o, given that 52*o - 697*o**3 - 27*o**2 - 13*o**2 + 88 + 693*o**3 = 0.
-11, -1, 2
Let y(x) be the first derivative of 3*x**4/32 + x**3 + 45*x**2/16 - 62. Factor y(s).
3*s*(s + 3)*(s + 5)/8
Let x be ((-6)/(-20))/(2 + (-247)/130) - 3. Find y, given that 2/5*y**4 + x*y + 0*y**2 + 0 + 2/5*y**3 = 0.
-1, 0
Let d be (0/3)/((-16)/(-4)). Find n such that 4*n - 5*n**2 + 24*n - 3*n - 20 + d*n = 0.
1, 4
Let q(m) be the third derivative of 1/120*m**5 - m**3 + 0 - 1/1080*m**6 - 1/36*m**4 - m**2 + 0*m. Let s(n) be the first derivative of q(n). Factor s(z).
-(z - 2)*(z - 1)/3
Let y(q) be the third derivative of q**7/420 + q**6/80 + q**5/60 + 6*q**2. Determine s, given that y(s) = 0.
-2, -1, 0
Let i(p) = -16*p**4 - p**3 + 55*p**2 + 55*p + 9. Let o = 6 - 19. Let q(h) = 33*h**4 + 3*h**3 - 110*h**2 - 110*h - 17. Let s(z) = o*i(z) - 6*q(z). Factor s(m).
5*(m - 3)*(m + 1)**2*(2*m + 1)
Let u(g) be the first derivative of 18*g**6 + 432*g**5/5 - 72*g**4 - 896*g**3/3 + 480*g**2 - 256*g + 30. Find a, given that u(a) = 0.
-4, -2, 2/3
Let t(u) be the second derivative of u**4/24 + u**3/3 - 3*u**2 - 10*u. Factor t(z).
(z - 2)*(z + 6)/2
Let n = 9 + -8. Let v(c) = 22*c**3 - c**2 + c - 1. Let g be v(n). Solve 13*l**2 - 8 - g*l**2 - 8*l + 6*l**2 = 0.
-2
Let s(v) be the third derivative of v**6/72 - v**5/12 + 5*v**4/24 + 35*v**3/6 - 32*v**2. Let n(m) be the first derivative of s(m). Factor n(t).
5*(t - 1