**2/9 + 157*f. Factor y(j).
2*(j - 1)**4*(j + 10)/9
Let a(v) = v**3 - 6*v**2 + 3*v + 14. Let p be a(5). Let -2*z**5 + z**p + 32 - 11*z**4 - 22*z + 32*z**2 - 8*z**3 + 24*z + 62*z = 0. What is z?
-2, -1, 2
Let t(c) be the second derivative of 1/220*c**5 + 0*c**2 + 0*c**4 + 0 + 0*c**3 + 8*c. Determine z so that t(z) = 0.
0
Let b(k) = -20*k**4 - 16*k**3 + 33*k**2 + 18*k + 28. Let f(q) = -14*q**4 - 11*q**3 + 22*q**2 + 12*q + 20. Let r(w) = -5*b(w) + 7*f(w). Factor r(z).
z*(z - 2)*(z + 3)*(2*z + 1)
Suppose 0 = -k + 14 - 20. Let l be ((-24)/(-18))/(-4) - 17/k. Factor -3/2*n**3 - n + 0 - l*n**2.
-n*(n + 1)*(3*n + 2)/2
Let d(i) be the second derivative of i**6/360 - i**5/90 + i**4/72 + 3*i**2 + 3*i. Let w(j) be the first derivative of d(j). Factor w(x).
x*(x - 1)**2/3
Let w(m) be the third derivative of m**8/23520 + m**7/2940 + m**6/1260 + 7*m**4/12 + 27*m**2. Let d(a) be the second derivative of w(a). Factor d(o).
2*o*(o + 1)*(o + 2)/7
Let o(w) be the second derivative of 11*w**5/210 + 25*w**4/126 + 17*w**3/63 + w**2/7 - 11*w - 1. Factor o(y).
2*(y + 1)**2*(11*y + 3)/21
Let g = -68 + 70. Suppose g*h**2 + 0*h - 10*h + 2*h**2 - 14*h + 36 = 0. What is h?
3
Suppose f - 8 = -7*f. Let g(r) = -r**2 - r + 1. Let h(i) = -6*i**2 - 16*i - 9. Let n(w) = f*h(w) - g(w). Let n(s) = 0. What is s?
-2, -1
Let r(q) = -q**4 - 2 + 2 - q - q**3. Let p(c) = -21*c**4 - 18*c**3 + 9*c**2 - 12*c. Let o = 15 - -3. Let d(w) = o*r(w) - p(w). Factor d(m).
3*m*(m - 2)*(m + 1)**2
Let 1170*n**2 - 845*n - 435*n**3 - 68*n**3 + 98*n**3 = 0. Calculate n.
0, 13/9
Let h(c) = -c**3 + 158*c**2 - 173*c + 2517. Let k be h(157). Let l = 42 - 27. Factor -42*y**4 - 12/5*y - 207/5*y**3 - 84/5*y**2 - l*y**k + 0.
-3*y*(y + 1)**2*(5*y + 2)**2/5
Let b(r) be the first derivative of -5*r**3/9 - 26*r**2/3 - 20*r/3 + 413. Solve b(v) = 0 for v.
-10, -2/5
Let d(i) be the third derivative of -5*i**8/672 + 5*i**7/84 - 7*i**6/48 - i**5/24 + 5*i**4/6 - 5*i**3/3 + 59*i**2 + 2. Solve d(n) = 0 for n.
-1, 1, 2
Let d(n) = -2*n**2 + 253*n - 3122. Let v(h) = 25*h**2 - 3035*h + 37465. Let g(a) = -35*d(a) - 3*v(a). Let g(m) = 0. Calculate m.
25
Let s = 75427/2 - 37713. Find u, given that 1/3*u**3 + 7/3*u + 8/3*u**2 + s - 1/2*u**4 = 0.
-1, -1/3, 3
Factor -25 + 1 + 6*r**3 - 2*r**3 - 7*r**3 - 51*r - 30*r**2.
-3*(r + 1)**2*(r + 8)
Let j = 116 - 113. Factor -20*f**4 + 8*f - 8*f**j - 12*f**2 + 7 - 4*f**2 + 24*f**4 + 5.
4*(f - 3)*(f - 1)*(f + 1)**2
Factor -1152 + 106*t + t**2 - 10*t - 3*t**2.
-2*(t - 24)**2
Let q(w) = -35*w**4 - 25*w**3 + 190*w**2 + 240*w - 735. Let j(d) = 9*d**4 + 6*d**3 - 47*d**2 - 60*d + 184. Let n(c) = -15*j(c) - 4*q(c). What is u in n(u) = 0?
-3, 2
Let w(k) = k. Let f be w(1). Let x = 5 - f. Suppose 0*y**4 - 2*y + 2*y - x*y**4 - y**2 - 5*y**3 = 0. What is y?
-1, -1/4, 0
Let g(x) be the third derivative of x**5/30 + 5*x**4/4 + 14*x**3/3 + 68*x**2. Factor g(i).
2*(i + 1)*(i + 14)
Let g be -1*(-5)/(20/(-28)). Let q = -7 - g. Determine x, given that -3/4*x - 3/4*x**2 + q = 0.
-1, 0
Let h(d) = -7*d**3 - 2*d**2 - 6. Let f be 75/9 + 2/(-6). Let p(j) = 5*j**3 + 4*j**2 + f*j**3 + 13 + 2*j**3. Let n(s) = -13*h(s) - 6*p(s). Solve n(z) = 0.
-2, 0
Let d = 362 - 360. Let u(x) be the first derivative of 1/3*x**6 - 2*x**d + 0*x - 6/5*x**5 + 1/2*x**4 + 2*x**3 - 4. Factor u(y).
2*y*(y - 2)*(y - 1)**2*(y + 1)
Let a(s) be the second derivative of 0 - 2*s - 1/24*s**4 + 1/12*s**3 + 1/2*s**2. Determine y so that a(y) = 0.
-1, 2
Let f(m) = -204*m + 28*m**2 - 44*m**2 + 25*m**2 - 516. Let d(q) = -2*q**2 + 41*q + 103. Let s(h) = -24*d(h) - 5*f(h). Factor s(l).
3*(l + 6)**2
Let z(d) be the third derivative of d**7/245 - d**6/105 - d**5/15 - d**4/21 + d**3/7 + 2*d**2 - 64*d. Suppose z(o) = 0. What is o?
-1, 1/3, 3
What is v in 33*v**5 + 0*v**4 - 11*v**5 - 17*v**5 + 5*v**4 - 60*v**2 - 40*v**3 = 0?
-2, 0, 3
Let w = -384 - -386. Let v(j) be the first derivative of 0*j + 5 + 1/2*j**4 + 2/7*j**w - 6/7*j**3. Find y such that v(y) = 0.
0, 2/7, 1
Let y be (3/(-2)*(-74)/111)/((-5)/(-30)). Factor -3/2*l**3 + 3*l**2 + y + 21/2*l.
-3*(l - 4)*(l + 1)**2/2
Let n(m) be the third derivative of 2/33*m**3 + 15*m**2 + 1/132*m**4 - 1/330*m**5 + 0 + 0*m. Factor n(a).
-2*(a - 2)*(a + 1)/11
Let s(w) = 18*w**3 + 29*w**2 + 21*w + 5. Let q(a) = 44*a**3 + 72*a**2 + 52*a + 12. Let g(k) = 5*q(k) - 12*s(k). Find u such that g(u) = 0.
-2, -1, 0
Suppose -11*y + 8*y = -12. Let a(k) = 32*k**2 - 4*k + 4. Let q(v) = v**3 + 31*v**2 - 3*v + 3. Let n(c) = y*q(c) - 3*a(c). Factor n(r).
4*r**2*(r + 7)
Let k(v) be the second derivative of 363*v**5/20 - 3223*v**4/12 - 592*v**3/9 - 6*v**2 + 5*v + 4. Find s such that k(s) = 0.
-2/33, 9
Let x(j) be the second derivative of -8*j + 3 - 1/66*j**4 - 289/11*j**2 - 34/33*j**3. Factor x(s).
-2*(s + 17)**2/11
Let a(p) = 2*p**3 - 2*p**2 + p + 1. Let o be a(1). Let g be (2/(-156)*o)/(1/(-6)). Factor -18/13 - 12/13*d - g*d**2.
-2*(d + 3)**2/13
Let s(z) be the second derivative of 2*z**7/21 - 4*z**6/5 + 37*z**5/20 - 7*z**4/4 + 2*z**3/3 + 86*z - 2. Solve s(m) = 0 for m.
0, 1/2, 1, 4
Let q = 98 + -195/2. Let r(a) be the first derivative of q*a**3 + 3/8*a**2 - 3/16*a**4 + 6 - 3/2*a. Factor r(u).
-3*(u - 2)*(u - 1)*(u + 1)/4
Let y(a) be the third derivative of 7*a**5/390 - 29*a**4/78 + 16*a**3/39 - 33*a**2 + 1. Factor y(j).
2*(j - 8)*(7*j - 2)/13
Let v(x) be the first derivative of x**6/21 - 2*x**5/35 - 4*x**4/7 + 16*x**3/21 + 16*x**2/7 - 32*x/7 + 160. Solve v(q) = 0 for q.
-2, 1, 2
Factor 2/3*z - 2/9*z**4 + 0 - 14/9*z**2 + 10/9*z**3.
-2*z*(z - 3)*(z - 1)**2/9
Let n = -73/77 + 23/11. Solve -2/7*s + 0 - n*s**2 = 0 for s.
-1/4, 0
Suppose 2*a + t = 0, -3*a = -0*t + t - 2. Factor 8*j**2 + 2*j + 4*j - 22*j - 4*j**a.
4*j*(j - 4)
Let v(k) be the second derivative of k**6/120 - k**5/30 - k**4/24 + k**3/3 - 3*k**2/2 + 7*k. Let y(a) be the first derivative of v(a). What is u in y(u) = 0?
-1, 1, 2
Let s(n) = 8*n**2 + 8*n - 16. Suppose 2*k = 161 - 33. Let m(x) = 60*x - 8*x**2 + 8 + 4*x**2 - k*x. Let q(r) = 7*m(r) + 4*s(r). Suppose q(v) = 0. Calculate v.
-2, 1
Let v(y) = 5*y - 70. Let z be v(17). Suppose -12 = -9*x + z. Factor -12*h - 27/4*h**2 + x.
-3*(h + 2)*(9*h - 2)/4
Let h(i) be the first derivative of 12*i**2 - 4/3*i**3 - 32*i + 31. Factor h(w).
-4*(w - 4)*(w - 2)
Let u(j) = 2*j**3 + 17*j**2 + 62*j + 432. Let d be u(-8). Let 0 - 3/7*p**3 + d*p**2 + 3/7*p**5 + 0*p + 0*p**4 = 0. What is p?
-1, 0, 1
Suppose -3*p + 3 = -12. Suppose 3 = s, p*q - 1 = 5*s - 6. Factor r**2 + 0*r**4 + r**q - r**4 - 29*r**3 + 28*r**3.
-r**2*(r - 1)*(r + 2)
Suppose k + 10 = 6*k. Factor 18*w**5 - 2*w**2 + 0*w**k - w + 0*w + 2*w**4 - 17*w**5.
w*(w - 1)*(w + 1)**3
Let l be -3 + 2/(-3) + (-51)/(-9). Factor 4*j - 19*j + 15 + 5*j**l - 5*j.
5*(j - 3)*(j - 1)
Let p(m) be the second derivative of 2/21*m**3 + 1/12*m**4 + 0*m**2 - 1/210*m**6 + 1/70*m**5 + 0 + 47*m. Find f, given that p(f) = 0.
-1, 0, 4
Find z, given that -55*z + 109*z - 1 + 15*z**2 - 3 - 8 - 57*z = 0.
-4/5, 1
Let l = 76 + -76. Suppose -6 = -3*y + y + d, l = y + d. Solve 1/2*n**5 + 0 + 3*n**3 + 1/2*n + y*n**2 + 2*n**4 = 0 for n.
-1, 0
Factor -2/9*k**2 + 4 + 2/3*k.
-2*(k - 6)*(k + 3)/9
Let w(v) be the third derivative of 4*v**6/5 - 47*v**5/15 + 11*v**4/3 + 2*v**3/3 - 386*v**2. Factor w(f).
4*(f - 1)**2*(24*f + 1)
Let -1/7*f**2 - 8/7*f + 20/7 = 0. What is f?
-10, 2
Let -4*m**2 + 40 + 149*m - 188*m**3 + 72*m - 36*m**4 - 33*m = 0. What is m?
-5, -1, -2/9, 1
Let b(p) be the first derivative of -1/5*p**3 + 3/10*p**2 - 3/20*p**4 + 3/5*p + 4. Solve b(r) = 0.
-1, 1
Let r be (-3)/(6*(-2)/16). Suppose 2*w + 4 = -3*j - 4, j = -r. Determine m, given that 0*m + 4*m**w + 0*m - 3 - m**2 = 0.
-1, 1
Let a(u) be the first derivative of 0*u**2 + 0*u**4 + 0*u**3 + 25 + 8/5*u**5 + 0*u - 10/3*u**6. Solve a(b) = 0.
0, 2/5
Let k(x) be the second derivative of -2*x**7/7 + 13*x**6/10 - 9*x**5/4 + 7*x**4/4 - x**3/2 - 697*x. Find t such that k(t) = 0.
0, 1/4, 1
Suppose 4*l = 2*k - 28, -6*l - 44 = -4*k - l. Let b(q) be the first derivative of 0*q - 2/9*q**3 - k - 2/3*q**2. Factor b(a).
-2*a*(a + 2)/3
Suppose -2*n = 20 + 2. Let j = n - -13. Factor -4*i**3 - 4*i - j*i**3 + 2*i - 2*i**4 - i**2 - 5*i**2.
-2*i*(i + 1)**3
Factor 0*z**2 - 5*z**2 + 20*z + 48 - 4*z - 2*z**2 + 3*z**2.
-4*(z - 6)*(z + 2)
Factor 18/5*p**2 + 0 - 24/5*p - 3/5*p**3.
-3*p*(p - 4)*(