) = 20*n**2 + 124*n + 120. Let y(g) = -5*d(g) - 8*v(g). Factor y(m).
4*(m + 1)*(m + 10)
Suppose -4*n - 5*n + 18 = 0. Suppose -o + 4*f + 38 = 0, 5*o - 5*f = 4*o + 43. Suppose 5*p**3 - o*p**3 + p**n + 2*p + 3*p**3 = 0. What is p?
-2/5, 0, 1/2
Factor -7*s + 0 - 8*s**3 - 3/2*s**4 + 33/2*s**2.
-s*(s - 1)*(s + 7)*(3*s - 2)/2
Factor -5*t**4 + 4*t**4 - 166*t + 10 + 20*t**2 - 17*t**2 - 5*t**3 + 183*t.
-(t - 2)*(t + 1)**2*(t + 5)
Factor -16/3*h**2 + 0 - 32/3*h - 2/3*h**3.
-2*h*(h + 4)**2/3
Let a(u) be the third derivative of 1/21*u**3 + 1/210*u**5 + 0 + 0*u + 1/42*u**4 - 16*u**2. Factor a(r).
2*(r + 1)**2/7
Let o(r) be the first derivative of r**6/12 + r**5/2 + 7*r**4/8 + r**3/2 + 55. Find p, given that o(p) = 0.
-3, -1, 0
Let c(x) be the second derivative of -3*x**8/280 - 3*x**7/140 - x**6/90 - x**3/6 - 7*x. Let g(i) be the second derivative of c(i). Determine p so that g(p) = 0.
-2/3, -1/3, 0
Let o(q) be the first derivative of -38 + 2/7*q + 5/7*q**2 - 4/7*q**3. Find f, given that o(f) = 0.
-1/6, 1
Let b = -29 - -32. Factor 12*o**4 - 3*o - 11*o**4 + b*o**2 + 2*o + 3*o**3 + 2*o.
o*(o + 1)**3
Let b(c) be the first derivative of -23 + 0*c + 0*c**2 + 1/6*c**6 + 6/5*c**5 + 4/3*c**3 + 9/4*c**4. Find o, given that b(o) = 0.
-4, -1, 0
Let y be 80/60*(-6)/(-4). Let w(l) be the first derivative of -2 + 0*l + 4/15*l**3 - 1/5*l**y - 1/10*l**4. Factor w(t).
-2*t*(t - 1)**2/5
Let o(k) = -k**3 + k - 1. Let s(x) = 5*x**2 - 19 - 3*x**3 - x**4 + 4*x + 4*x + 3*x**2 - 5*x. Let b(z) = 3*o(z) - s(z). Find n such that b(n) = 0.
-2, 2
Factor 2054*t - 1966*t - 658 - 310 - 2*t**2.
-2*(t - 22)**2
Let r(j) be the third derivative of 2/105*j**7 + 1/6*j**4 - 8*j**2 + 0*j - 1/30*j**6 - 1/15*j**5 + 0 + 0*j**3. Factor r(u).
4*u*(u - 1)**2*(u + 1)
Let m(g) be the second derivative of -g**7/14 - 33*g**6/70 - 3*g**5/35 + 36*g**4/7 + 64*g**3/7 - 72*g**2/7 - g - 96. Determine k, given that m(k) = 0.
-3, -2, 2/7, 2
Let r(o) be the first derivative of -5*o**3/3 + 195*o**2/2 - 540*o + 441. Let r(q) = 0. Calculate q.
3, 36
Let f(j) be the third derivative of 1/10*j**5 + 1/112*j**8 - 1/35*j**7 - 1/8*j**4 - 10*j**2 + 0*j**6 + 0*j + 0 + 0*j**3. What is a in f(a) = 0?
-1, 0, 1
Let p = 854126011/469 + -1821163. Let d = -4/67 + p. Factor -d*n + 2/7 + 6/7*n**2.
2*(n - 1)*(3*n - 1)/7
Factor -4/7 + 4/7*j**2 + 6/7*j + 0*j**4 + 2/7*j**5 - 8/7*j**3.
2*(j - 1)**3*(j + 1)*(j + 2)/7
Suppose -4*k - 4*n + 4028 = 0, -4*n = 2*k - 7*n - 2009. Factor 3*q - k*q**2 - 28 + 1004*q**2 - 21*q.
-2*(q + 2)*(q + 7)
Let x(p) = -2 - p**3 + 3 + p - 3*p**2 + 2*p**2. Let y(g) = 8*g**4 + 6*g**3 + 10*g**2 - 10*g - 10. Let f(l) = 10*x(l) + y(l). Factor f(j).
4*j**3*(2*j - 1)
Let p(a) be the third derivative of 0 - 4*a**2 + 3/16*a**4 - 1/80*a**5 + 0*a**3 + 0*a. Factor p(b).
-3*b*(b - 6)/4
Let f(q) be the first derivative of q**5/20 - q**4/4 - 3*q**3/2 + 17*q**2/2 - 18. Let d(c) be the second derivative of f(c). Factor d(b).
3*(b - 3)*(b + 1)
Let p(v) = -56*v**2 - 236*v - 74. Let h(j) = -547 - 114*j - 13*j**2 + 35*j - 6*j**2 + 522. Let r(z) = 14*h(z) - 5*p(z). Factor r(k).
2*(k + 5)*(7*k + 2)
Suppose -22*n = -36*n - 56*n. Factor n*x - 2/15*x**2 + 0.
-2*x**2/15
Let r(y) be the second derivative of y**8/2240 - y**6/240 + y**4/6 + 7*y. Let x(w) be the third derivative of r(w). Find i, given that x(i) = 0.
-1, 0, 1
Let j(o) be the second derivative of 0*o**2 + 0*o**4 + 1/6*o**6 - 6*o - 1/2*o**5 + 0*o**3 + 0. Solve j(n) = 0.
0, 2
Let h = 7 - 48/7. Suppose 0 = 2*b + 3*r + 11, 11*b - 6*b = -4*r - 10. Factor 2/7*k + h*k**b + 1/7.
(k + 1)**2/7
Factor 818*i**2 + 12 + 4027*i**2 + 6318*i**2 + 732*i.
3*(61*i + 2)**2
Suppose -3*g = 47 + 70. Let y be (-4)/(-8) - (g/(-12) + -3). Suppose y*k**2 + 1/2*k + 0 = 0. What is k?
-2, 0
Let z(f) be the first derivative of -2*f**3/3 + 59*f**2 - 116*f - 260. Suppose z(b) = 0. Calculate b.
1, 58
Let h(t) be the third derivative of t**8/1848 - 4*t**7/385 - 9*t**6/220 - 7*t**5/165 + 975*t**2. Factor h(k).
2*k**2*(k - 14)*(k + 1)**2/11
Let w(k) = -2*k**2 + 12*k + 4. Let q(n) be the second derivative of n**3/6 - 21*n. Let i(l) = 10*q(l) - w(l). Factor i(o).
2*(o - 2)*(o + 1)
Let g be 5/25 - (-147)/15. Factor g*i**3 + 5 + i - 10*i**2 - 11*i - 5*i**5 + 5*i**4 + 5*i.
-5*(i - 1)**3*(i + 1)**2
Let j(r) be the first derivative of 2/5*r + 16/45*r**6 - 35 - 4/15*r**2 - 152/75*r**5 + 16/5*r**4 - 14/9*r**3. Find m, given that j(m) = 0.
-1/4, 1/2, 1, 3
Suppose 2 - 8 = -2*y. Suppose -4 = -4*z + y*z. Find h, given that 0*h - 1/2*h**z + 0 + h**3 - 5/3*h**5 - 1/6*h**2 = 0.
-1, 0, 1/5, 1/2
Solve 2/9*d**3 - 8/3*d - 40/9 + 2*d**2 = 0.
-10, -1, 2
Suppose -q - 12 = -3*z, -z - 602*q = -606*q - 15. Let -1/2 - 1/2*o**4 - 2*o - 3*o**2 - 2*o**z = 0. What is o?
-1
Suppose -10*g + 9*g + 6 = 3*s, 5*g = -5*s. Find n, given that -2/11 - 6/11*n**2 + 2/11*n**s + 6/11*n = 0.
1
Let q(n) be the first derivative of 2*n**5/5 + n**4/2 - 2*n**3 - n**2 + 4*n + 27. Find x, given that q(x) = 0.
-2, -1, 1
Let i(p) be the second derivative of p**7/14 + p**6 + 87*p**5/20 + 8*p**4 + 6*p**3 - 121*p. Determine f so that i(f) = 0.
-6, -2, -1, 0
Let a(g) = 3*g**2 + 5. Let l(t) = -16*t**2 - 2*t - 26. Let u(k) = -22*a(k) - 4*l(k). Solve u(y) = 0 for y.
1, 3
Let t(s) = 366*s + 5858. Let u be t(-16). Factor 0 - 2*r**3 + 21/4*r**u + 1/4*r**4 - 9/2*r.
r*(r - 3)**2*(r - 2)/4
Let w = 58 + -54. Solve -32*s - 12 + w*s**4 - 3*s**3 - 16*s**2 + 35*s**3 - 36 + 60*s**2 = 0 for s.
-6, -2, -1, 1
Let q(u) = 3*u - 4. Let w be q(8). Factor -108*i + 38*i + 39*i - 5*i**4 + 20 - w*i**3 + 51*i - 15*i**2.
-5*(i - 1)*(i + 1)*(i + 2)**2
Determine r so that 3/2*r**4 + 0*r + 0 + 9/2*r**2 + 6*r**3 = 0.
-3, -1, 0
Suppose 8*a - 9*a = 8. Let t be (-11 - a) + 0 + 4. Solve -i**3 - t + 1/4*i**4 + i + 3/4*i**2 = 0.
-1, 1, 2
Let t(f) = 11*f**2 + 43*f - 12. Let v(m) = -m**2 + 2*m + 2. Let p(r) = -t(r) - 6*v(r). Factor p(w).
-5*w*(w + 11)
Determine i so that -2/7*i**4 + 54/7 + 12/7*i**2 + 72/7*i - 8/7*i**3 = 0.
-3, -1, 3
Let n(t) = 46*t**3 - 506*t**2 - 420*t - 84. Let h(i) = -93*i**3 + 1013*i**2 + 843*i + 169. Let k(a) = 4*h(a) + 7*n(a). Factor k(y).
-2*(y - 11)*(5*y + 2)**2
Let l(a) be the third derivative of a**5/120 + a**4/2 + 21*a**3/4 - 7*a**2 - 25. Factor l(j).
(j + 3)*(j + 21)/2
Let v(a) = a**2 + 1. Let g(t) = -t**2 - 24*t - 7 + 22*t + 22 + 14*t. Let l(u) = -g(u) - 3*v(u). Factor l(b).
-2*(b + 3)**2
Let l(m) be the third derivative of m**7/245 + m**6/84 + m**5/105 + 102*m**2. Factor l(a).
2*a**2*(a + 1)*(3*a + 2)/7
Let v(o) be the second derivative of 2*o + 0*o**3 + 0*o**2 + 0 + 0*o**4 - 2/15*o**6 + 1/5*o**5. Solve v(f) = 0 for f.
0, 1
Let k(d) be the second derivative of -2/15*d**5 + 0*d**2 + 0 + 0*d**6 + 0*d**4 + 2/9*d**3 + 2/63*d**7 - 11*d. Solve k(t) = 0 for t.
-1, 0, 1
Suppose 3*a + 12 - 18 = 0. Factor -25*m**2 + 45*m**a - m**4 - 2*m**3 - 21*m**2.
-m**2*(m + 1)**2
Let q(n) = n**4 - 5*n**3 - 2*n**2 - 4*n - 4. Let i(h) = -2*h**4 + 11*h**3 + 4*h**2 + 9*h + 9. Let r(c) = 4*i(c) + 9*q(c). Factor r(w).
w**2*(w - 2)*(w + 1)
Factor 0 + 4/3*i**2 + 4/3*i - 8/3*i**3.
-4*i*(i - 1)*(2*i + 1)/3
Let q(c) = -c**2 + 3*c + 4. Let u be q(11). Let z = u - -87. Factor 0 + 1/2*g + 3/4*g**5 + 15/4*g**z - 11/4*g**4 - 9/4*g**2.
g*(g - 1)**3*(3*g - 2)/4
Factor 68/11*m + 16/11 - 18/11*m**2.
-2*(m - 4)*(9*m + 2)/11
Suppose 0 = -5*k + 2*u - 24, -u = 4*k - 0*u + 14. Let x be k - -6 - 0/2. Suppose 0 + 1/2*f**x + 1/2*f = 0. Calculate f.
-1, 0
Let d(p) be the second derivative of -3*p**5/20 - 11*p**4/4 - 16*p**3 - 42*p**2 - 21*p - 1. Let d(f) = 0. Calculate f.
-7, -2
Let b(o) be the second derivative of o**6/5 + 13*o**5/20 - 7*o**4/3 - 41*o**3/6 - 3*o**2 + 623*o. Determine l, given that b(l) = 0.
-3, -1, -1/6, 2
Let s(n) be the first derivative of 0*n + 2 + 2/5*n**3 - 3/25*n**5 + 3/20*n**4 + 0*n**2. Factor s(q).
-3*q**2*(q - 2)*(q + 1)/5
Let d(y) be the second derivative of -y**4/66 - 92*y**3/33 - 180*y**2/11 - 514*y. Factor d(m).
-2*(m + 2)*(m + 90)/11
Let r = 4411/2445 - 2/489. What is c in 16/5*c - 4/5 + r*c**2 = 0?
-2, 2/9
Suppose 0 = 4*t + 10*t - 28. Factor a**4 + 7 - a + 11*a + 6*a**3 + 0 + 12*a**t - 4.
(a + 1)**3*(a + 3)
Let j(p) be the second derivative of -12*p - 3/17*p**2 + 1/357*p**7 - 1/85*p**6 - 1/85*p**5 + 0 + 1/51*p**3 + 1/17*p**4. Solve j(a) = 0.
-1, 1, 3
Let a = 19435/3 - 194347/30. Determine t, given