**3 + 5*c**2 + c**4 + 6*c**4 + 15*c - x*c**4 = 0. Calculate c.
-1, 1, 2
Suppose 2*g - 5*q + 51 = 0, 4*g + 27 = 3*q - 8*q. Let w = g + 13. Determine i so that w - 1/4*i**2 - 1/2*i = 0.
-2, 0
Let l(q) = -q**4 + q**3 - 3*q**2 - 1. Let a(r) = -121*r**5 + 163*r**4 + 75*r**3 - 167*r**2 + 48*r - 6. Let z(u) = a(u) - 2*l(u). Solve z(k) = 0.
-1, 2/11, 1
Let c be (2 + (-2)/8 - 25/(-100))/1. Factor 0*j**c - 1/5*j + 0 + 1/5*j**3.
j*(j - 1)*(j + 1)/5
Let g(l) = 4*l**2 - 413*l - 423. Let k(r) = -8*r**2 + 827*r + 845. Let s(v) = -5*g(v) - 3*k(v). Determine j so that s(j) = 0.
-1, 105
Let t(c) be the first derivative of 1 - 1/15*c**5 - 7/2*c**2 - 4/3*c**3 + 0*c + 1/2*c**4. Let b(j) be the second derivative of t(j). Factor b(i).
-4*(i - 2)*(i - 1)
Let v(c) be the first derivative of -c**4/18 - 2*c**3/27 + 16*c**2/9 - 40*c/9 - 100. Find o such that v(o) = 0.
-5, 2
Suppose -57 = -454*q + 435*q. Find u, given that 0 - 9*u**2 - 3/2*u**q - 15/2*u = 0.
-5, -1, 0
Let p(i) be the third derivative of -i**5/20 + i**4/8 + 6*i**3 - 310*i**2. Factor p(c).
-3*(c - 4)*(c + 3)
Let s(k) be the third derivative of k**8/224 + k**7/42 + 7*k**6/240 - k**5/30 - k**4/12 - 22*k**2. Determine p so that s(p) = 0.
-2, -1, 0, 2/3
Let u(p) be the second derivative of -2*p**6/5 - 83*p**5/20 + 4*p**4/3 + 65*p**3/6 + 7*p**2 - 8*p + 6. Solve u(x) = 0 for x.
-7, -2/3, -1/4, 1
What is z in -26*z**5 + 370*z**4 - 256*z**3 - 118*z**2 - 10*z**5 - 598*z**4 + 38*z**2 = 0?
-5, -2/3, 0
Let l = 6 + -4. Let k(a) = -3*a + l*a**2 - 3*a + 4*a**2 - 3. Let d(f) = -f**4 + f**3 - 7*f**2 + 7*f + 4. Let x(w) = -3*d(w) - 4*k(w). Factor x(j).
3*j*(j - 1)**2*(j + 1)
Let y(u) be the second derivative of -u**6/10 + 3*u**5/2 + 11*u**4/4 - 226*u. Suppose y(c) = 0. What is c?
-1, 0, 11
Suppose -13*y = -90*y - 25*y - 13*y. Factor y + 0*l + 1/4*l**3 - 1/2*l**2.
l**2*(l - 2)/4
Let h(l) = -l**4 - 4*l**3 - 5*l**2 + 16*l - 12. Let z(r) = -r**4 + r**3 + r - 2. Let y(s) = -h(s) + 6*z(s). What is d in y(d) = 0?
-1, 0, 1, 2
Suppose 2*w - 6 = -0*w. Suppose 4*p + m - 102 = 0, 0*p + 2*m - 104 = -4*p. What is s in p*s**w - 3*s + 4*s**4 - 29*s**3 + 3*s = 0?
0, 1
Let y(t) be the first derivative of 7*t**6/180 - 2*t**5/165 - t**4/33 + t**3 - 13. Let d(f) be the third derivative of y(f). Determine o so that d(o) = 0.
-2/11, 2/7
Solve 4/11*s**3 + 0 + 0*s**2 + 0*s**4 - 2/11*s**5 - 2/11*s = 0.
-1, 0, 1
Let l = 27 + -25. Factor c + 0*c**2 + c**2 - 2*c**l + 3*c.
-c*(c - 4)
Suppose 0 = -v + 2, 2*i + 5*v - 25 + 87 = 0. Let n be (-39)/i - 30/40. Solve 1/3*d**4 + 0 + 0*d - n*d**5 + 1/3*d**3 - 1/3*d**2 = 0.
-1, 0, 1
Let n = -2866/3 + 956. What is y in 0 + 8/3*y**3 + n*y**5 + 0*y**2 - 8/3*y**4 + 0*y = 0?
0, 2
Let d be (-2)/(-8)*(-16)/(-6). Let v = 29 - 27. Factor -5/3*g**3 + 0*g + 0 - d*g**v + g**4.
g**2*(g - 2)*(3*g + 1)/3
Determine n so that 0 - 1/4*n**5 + 2*n - 3/2*n**3 + n**2 - 5/4*n**4 = 0.
-2, 0, 1
Let f(m) be the first derivative of m**6/30 + 7*m**5/25 + 19*m**4/20 + 5*m**3/3 + 8*m**2/5 + 4*m/5 - 77. Factor f(r).
(r + 1)**3*(r + 2)**2/5
Let n(s) = 9*s**3 + 15*s**2 - 30*s + 6. Let p(i) = 7*i**3 + 15*i**2 - 29*i + 7. Let w(m) = -5*n(m) + 6*p(m). Factor w(h).
-3*(h - 2)**2*(h - 1)
Find y such that -16*y**3 + 36*y**3 - 4*y + 8*y - 34*y + 5*y**4 + 5*y**2 = 0.
-3, -2, 0, 1
Let p be 64*(1 + 4)/(6/3). Factor -165*d**2 - 6*d + p*d**2 - 14*d + 5*d.
-5*d*(d + 3)
Suppose 2*d + 2 = 4. Determine f so that 16*f + d + 4*f**2 + 7 + 4 = 0.
-3, -1
Let u(x) be the third derivative of -x**8/448 - 3*x**7/70 - 17*x**6/80 - 3*x**5/20 + 35*x**4/32 + 3*x**3 + 6*x**2 - 1. Suppose u(n) = 0. Calculate n.
-8, -3, -1, 1
Let v = -1694 + 5083/3. Suppose 0*z + z - 4 = 0. Let 2/3 + v*l**5 - 4/3*l**3 - 2/3*l**2 + 0*l**z + l = 0. What is l?
-1, 1, 2
Let d be (-4)/40*2 - (-4)/((-60)/(-51)). Factor 2/5*o**4 + d*o**2 + 8/5*o + 2*o**3 + 0.
2*o*(o + 1)*(o + 2)**2/5
Let y(v) = -2*v**3 - 21*v**2 - 12*v - 18. Let s be y(-10). Let m(n) be the first derivative of -6 + 3/5*n**s - 2/15*n**3 + 0*n - 1/5*n**4. Factor m(o).
-2*o*(o - 1)*(2*o + 3)/5
Let g(j) = -2*j**4 + 11*j**3 + 7*j**2 + 8*j + 7. Let u(p) = p**4 - 11*p**3 - 7*p**2 - 7*p - 6. Let z(y) = -6*g(y) - 7*u(y). Factor z(s).
s*(s + 1)**2*(5*s + 1)
Let z(q) be the first derivative of -q**6/120 + q**5/40 - 4*q**3 - 13. Let y(g) be the third derivative of z(g). Determine f, given that y(f) = 0.
0, 1
Let -1/2*q**4 + 3/2*q**2 - 1 + 1/2*q**3 - 1/2*q = 0. Calculate q.
-1, 1, 2
Let n = 0 + 1. Let y(m) = -m**2 - 4*m + 6. Let s be y(-5). Factor -2*o**2 - o - s + n + o**2.
-o*(o + 1)
Let y = -8268 - -41342/5. Factor -2/5 + 0*w + y*w**2.
2*(w - 1)*(w + 1)/5
Suppose -10*n + 5*n + 4*q + 14 = 0, 5*n + 5*q - 5 = 0. Let 0*g - 5/2*g**4 + g**n + 0 + 3/2*g**3 = 0. Calculate g.
-2/5, 0, 1
Let z(h) = -80*h**2 + 728*h - 670. Let y(g) = 11*g**2 - 104*g + 96. Let i(j) = 44*y(j) + 6*z(j). Factor i(v).
4*(v - 51)*(v - 1)
Factor -6*l + 104/3 - 2/3*l**2.
-2*(l - 4)*(l + 13)/3
Let o(q) be the second derivative of -q**5/10 - q**4/12 + q**2/2 + 28*q. Let y(b) = -b**3 - b. Let d(k) = 2*o(k) - 2*y(k). What is w in d(w) = 0?
-1, 1
Let h(s) be the first derivative of -40*s**6/3 + 132*s**5/5 + 85*s**4 - 4*s**3 - 58*s**2 + 24*s - 25. Solve h(u) = 0 for u.
-1, 1/4, 2/5, 3
Let n(k) be the first derivative of 17*k**3/6 + 10*k**2/3 + 2*k/3 + 100. Solve n(u) = 0 for u.
-2/3, -2/17
Let f(g) be the second derivative of g**7/4200 - g**6/1200 - g**5/100 - 7*g**4/6 - 4*g. Let o(b) be the third derivative of f(b). Find q, given that o(q) = 0.
-1, 2
Let c(m) = 4*m**5 + 224*m**4 + 796*m**3 + 576*m**2 - 824*m - 808. Let l(v) = -v**4 + 2*v**3 + v**2 + v + 1. Let k(i) = c(i) + 8*l(i). Let k(b) = 0. Calculate b.
-50, -2, -1, 1
Let d(j) be the first derivative of 2*j**3 + 25*j**2/2 + 7*j + 8. Let l(m) = 3*m**2 + 13*m + 4. Let b(u) = -4*d(u) + 7*l(u). Determine c, given that b(c) = 0.
-3, 0
Let v(s) = -38*s**4 - 194*s**3 - 206*s**2 - 70*s + 2. Let h(l) = l**4 + l**3 - l**2 + 3*l - 1. Let f(n) = 2*h(n) + v(n). Solve f(j) = 0 for j.
-4, -2/3, 0
Let i(f) be the first derivative of -19 - 1/2*f**3 + 9/4*f**2 - 1/8*f**4 - 5/2*f. Factor i(h).
-(h - 1)**2*(h + 5)/2
Let b(a) be the second derivative of 29*a**4/3 - 2*a**3/3 + 64*a. Factor b(l).
4*l*(29*l - 1)
Factor -7/4*k**3 + 0 - 1/4*k**4 - 7/4*k**2 + 15/4*k.
-k*(k - 1)*(k + 3)*(k + 5)/4
Let d(k) be the second derivative of k**4/20 + 19*k**3/10 + 27*k**2/5 + 182*k. Factor d(f).
3*(f + 1)*(f + 18)/5
Let y(p) = p**3 - 4*p**2 + 2*p + 5. Let j be y(3). Solve -2*c**2 - c**j - 5 + 1 + 0 + 13*c = 0.
1/3, 4
Let 36*u**3 + 4/3*u**5 - 12*u**4 - 92/3*u**2 - 32*u + 48 = 0. What is u?
-1, 2, 3
What is m in 28*m - 148/5*m**2 + 4/5*m**4 + 144/5 - 28*m**3 = 0?
-1, 1, 36
Let g = -86 + 107. Let z(l) = -2*l + 44. Let q be z(g). Factor -6/5*f**q + 0 + 4/5*f + 2/5*f**4 + 0*f**3.
2*f*(f - 1)**2*(f + 2)/5
Let m(s) be the second derivative of -2/135*s**6 - 11/27*s**3 + 0 - 26*s - 1/18*s**4 + 5/9*s**2 + 11/90*s**5. Let m(y) = 0. What is y?
-1, 1/2, 1, 5
Solve 2/3*k**2 - 42 - 4/3*k = 0.
-7, 9
Let t(s) be the third derivative of -s**5/15 + 2*s**4/3 - 2*s**2 + 18*s. Suppose t(q) = 0. What is q?
0, 4
Determine d so that -16*d**2 + 9*d**3 + 618 - 309 - 309 - 4*d**4 + 7*d**3 = 0.
0, 2
Let d(b) be the third derivative of 0*b + 0*b**3 + 0 - 3/16*b**4 - 1/10*b**5 - 1/80*b**6 - 7*b**2. Factor d(a).
-3*a*(a + 1)*(a + 3)/2
Let p(y) be the second derivative of y**5/140 + 22*y**4/21 + 2021*y**3/42 + 1849*y**2/7 - 522*y. Let p(b) = 0. What is b?
-43, -2
Let o(k) be the first derivative of -k**5/12 + 25*k**4/36 - 20*k**3/9 + 10*k**2/3 + 4*k + 19. Let l(x) be the first derivative of o(x). Factor l(i).
-5*(i - 2)**2*(i - 1)/3
Let v(h) be the third derivative of -h**8/33600 - h**7/6300 + h**6/900 + h**5/75 + 11*h**4/12 + 34*h**2. Let r(m) be the second derivative of v(m). Factor r(b).
-(b - 2)*(b + 2)**2/5
Let x(a) be the third derivative of -a**7/140 - a**6/8 - 9*a**5/10 - 27*a**4/8 - 27*a**3/4 - 156*a**2. Let x(s) = 0. Calculate s.
-3, -1
Let o be (-20)/((-40)/54) - 25. Factor 2/9*i**o + 14/9*i - 16/9.
2*(i - 1)*(i + 8)/9
Let x(s) = -8*s + 3*s**3 - 2*s**3 + 16*s + 4*s**2 - s. Let g(o) = -2*o**3 - 8*o**2 - 15*o. Let b(l) = -4*g(l) - 9*x(l). Let b(n) = 0. Calculate n.
-3, -1, 0
Let g(n) be the first derivative of -n**3/9 + n/3 - 59. Factor g(r).
-(r - 1)*(r + 1)/3
Suppose 98/15*a + 2/15*a