 - 15. Let o(s) = 4*c(s) - 44*i(s). Factor o(z).
-4*(33*z + 2)**2
Suppose 18 = 2*h - 90. Let y be (2/(-3))/((-3)/h). Solve -2*m**3 + 14*m**2 + 3*m + y*m**3 + m = 0.
-1, -2/5, 0
Let g(o) = -3*o + 11. Let y be g(5). Let z be ((-1)/2)/(1/y). What is a in 6/5*a**z - 4/5 + 2*a = 0?
-2, 1/3
Let u be (-14)/21 - (-4)/6. Find p such that 2*p**4 + 2*p**2 + 8*p**4 + 2*p**5 + u*p**5 + 2*p**5 + 8*p**3 = 0.
-1, -1/2, 0
Let a(y) be the second derivative of y**5/4 - 25*y**4/12 + 35*y**3/6 - 15*y**2/2 - 2*y. What is l in a(l) = 0?
1, 3
Let f = 7/24 + -1/8. Let n(o) be the first derivative of -1/10*o**5 - 1/4*o**4 - f*o**3 + 1 + 0*o + 0*o**2. Factor n(v).
-v**2*(v + 1)**2/2
Let k(g) be the second derivative of 0 + 1/2*g**2 - g - 1/6*g**4 + 0*g**5 + 1/30*g**6 + 0*g**3. Factor k(x).
(x - 1)**2*(x + 1)**2
Suppose 27 = -2*i - 33. Let u be (-1)/(-4) + i/(-8). Determine y so that -u*y + 3*y + 5*y + 0*y + 14*y**3 + 18*y**2 = 0.
-1, -2/7, 0
Let r(j) = -j**3 + 8*j**2 - 8*j + 7. Let d be r(7). Let x = 2 - -8. Solve -s - 7/2*s**3 + 11/2*s**2 + d - x*s**4 = 0 for s.
-1, 0, 1/4, 2/5
Let l(s) = -s**3 - 6*s**2 + s + 8. Let o be l(-6). Factor x - 2*x**3 - 6*x**2 - 11*x - 4 + 0*x**2 - o*x**2.
-2*(x + 1)**2*(x + 2)
Suppose -d - 2*d = 0. What is q in -2*q**2 + q**4 + 0 + d*q**4 - 1 + 2 = 0?
-1, 1
Let k(n) be the second derivative of 0 - 1/10*n**3 - 2*n + 1/10*n**4 + 0*n**2 - 3/100*n**5. Solve k(m) = 0.
0, 1
Let d(h) be the second derivative of 5*h - 1/12*h**4 + 3/2*h**2 - 1/3*h**3 + 0. Solve d(u) = 0 for u.
-3, 1
Suppose -o - 2*t + 14 = 0, 3*t + 3 = 2*o - 46. Suppose 40*m**3 - 13*m - 16*m**2 + 8*m**4 + 2 - 7*m + 6 - o*m**5 = 0. What is m?
-1, 2/5, 1
Let z(y) be the third derivative of -y**5/210 + y**4/84 + 2*y**3/7 - 17*y**2. Find u, given that z(u) = 0.
-2, 3
Let a(k) be the third derivative of 1/3*k**3 + 5*k**2 + 0*k + 1/8*k**4 + 0 + 1/60*k**5. Factor a(n).
(n + 1)*(n + 2)
Let d(g) be the first derivative of g**5/20 - 3*g**4/16 - g**3/2 + 7*g**2/2 - 6*g + 24. Factor d(q).
(q - 2)**3*(q + 3)/4
Let t(i) = 10*i**3 + 20*i**2 + 10*i + 6. Let f(x) = -9*x**3 - 20*x**2 - 11*x - 5. Let z(b) = 6*f(b) + 5*t(b). Factor z(m).
-4*m*(m + 1)*(m + 4)
Let m(q) be the third derivative of -q**6/840 - 13*q**5/420 - 2*q**4/7 - 6*q**3/7 - 25*q**2. What is l in m(l) = 0?
-6, -1
Suppose -r = -2*j + 4*j - 2, 0 = 5*j + 25. Suppose 3*b = 3 + r. Factor 9/5*m**b + 3/5*m**3 + 0*m + 0*m**2 + 0 + 12/5*m**4.
3*m**3*(m + 1)*(3*m + 1)/5
Let g(q) be the third derivative of -7*q**6/120 - q**3/6 + q**2. Let d be g(-1). Factor -6*z + 4*z**4 - 2*z**2 + 0*z**3 - 4 + d*z**3 + 2.
2*(z - 1)*(z + 1)**2*(2*z + 1)
Determine w, given that 10*w**4 + 12*w**3 + 7*w**2 - 4*w**3 - 25*w**5 - 17*w**2 + 17*w**3 = 0.
-1, 0, 2/5, 1
Let g(v) be the third derivative of 0*v + 0*v**4 + 1/20*v**5 + 3/70*v**7 + 7/80*v**6 - 2*v**2 + 0 + 0*v**3. Factor g(j).
3*j**2*(2*j + 1)*(3*j + 2)/2
Let r(y) be the third derivative of y**5/100 + y**4/10 + 24*y**2. Factor r(g).
3*g*(g + 4)/5
Let q be (2/4)/((-5)/(-10)). Factor 9 - 3*m + m**3 - 8 - 2 - q.
(m - 2)*(m + 1)**2
Let m(o) be the first derivative of 12*o**5/5 + 9*o**4/4 - 5*o**3 - 9*o**2/2 + 3*o + 4. Factor m(j).
3*(j - 1)*(j + 1)**2*(4*j - 1)
Let k(j) be the first derivative of -2*j**5/45 - j**4/3 - 8*j**3/9 - 10*j**2/9 - 2*j/3 + 1. Factor k(a).
-2*(a + 1)**3*(a + 3)/9
Let h be -1 + 2 + (25 - 26). Let s(q) be the second derivative of 1/20*q**5 - 1/6*q**3 - 1/12*q**4 - 2*q + 1/30*q**6 + 0*q**2 + h. Factor s(l).
l*(l - 1)*(l + 1)**2
Let g be (-12)/(-4)*(-5)/(-18). Factor -3/2*d**2 - g*d**3 - 7/6*d - 1/3 - 1/6*d**4.
-(d + 1)**3*(d + 2)/6
Let t(u) be the second derivative of -2*u**5/5 - 7*u**4/3 - 14*u**3/3 - 4*u**2 - 9*u. Determine d so that t(d) = 0.
-2, -1, -1/2
Let n be 2 + 3/6*2. Suppose 3*x**2 + 4*x**3 + x**2 + 6*x**n + 6*x**4 = 0. What is x?
-1, -2/3, 0
Let p(g) = -g**3 + g**2 + 1. Let c(t) = -4*t**5 + 48*t**4 - 138*t**3 - 6*t**2 - 6. Let r(b) = c(b) + 6*p(b). Factor r(d).
-4*d**3*(d - 6)**2
Let s(q) = q**3 + q**2 + q + 1. Let m(g) = 2*g**4 - 11*g**3 - 13*g**2 - 9*g - 9. Let k(f) = 2*m(f) + 18*s(f). Solve k(z) = 0 for z.
-1, 0, 2
Let z(r) be the second derivative of -3*r**5/10 + 4*r**4/3 - r**3 - 2*r**2 - 32*r. Factor z(c).
-2*(c - 2)*(c - 1)*(3*c + 1)
Let w = 131/12 + -32/3. Let -w*m**3 + 0*m - 1/4*m**2 + 0 = 0. What is m?
-1, 0
Suppose -s + r = -4*r + 8, -r = -2. What is v in 9*v**2 + 0 - 6*v**3 + 2 - s - 3*v = 0?
0, 1/2, 1
Let q(k) = -6*k**4 - 8*k**2 - 8*k. Let f(y) = -2*y**4 - 3*y**2 - 3*y. Let w(p) = -8*f(p) + 3*q(p). Determine h so that w(h) = 0.
0
Suppose 6 = -0*u + 3*u. Solve -b**5 - u*b - b**4 + b**4 + 2*b**3 + b = 0 for b.
-1, 0, 1
Suppose -11*i + 7*i + 8 = 0. Let -8/7*l**4 + 2/7*l - 2/7*l**3 + 0 + 8/7*l**i = 0. Calculate l.
-1, -1/4, 0, 1
Let 5*j**4 + 41*j**3 + 16*j**4 - 23*j**3 - 24*j**3 = 0. What is j?
0, 2/7
Let m(x) be the second derivative of x**6/600 + x**2 - 2*x. Let u(h) be the first derivative of m(h). What is i in u(i) = 0?
0
Let a(s) be the second derivative of s**7/280 - s**6/40 + s**3/2 + 10*s. Let g(m) be the second derivative of a(m). Let g(p) = 0. What is p?
0, 3
Let f(b) be the third derivative of 0*b + 0*b**4 - 7*b**2 + 1/540*b**6 + 0*b**5 + 0 - 1/1512*b**8 + 0*b**3 + 0*b**7. Solve f(a) = 0 for a.
-1, 0, 1
Suppose -y = 3*u - 3*y - 9, 0 = -4*y. Suppose -5*n = -u*n. Suppose 0 + n*o + 0*o**2 + 1/2*o**3 + 1/2*o**4 = 0. What is o?
-1, 0
Let a(d) = d**2 + d - 1. Let s(t) = -t + 5*t**5 - 4*t**2 - 4 + 7*t**4 - 8*t**5 - 4*t**4 + 5 + 6*t**3. Let x(i) = -2*a(i) + s(i). Let x(u) = 0. What is u?
-1, 1
Let w = 9 + -5. Factor -2*v + 0 - 2*v**3 - 4*v + w*v**3 - 4.
2*(v - 2)*(v + 1)**2
Suppose -1 + 2 = -i + 2*y, -y = -2. Let z be -2 + 1 + 1*3. Factor 0 + 2/7*v**i + 0*v**z + 0*v.
2*v**3/7
Factor 0 - 1/4*k**2 + 5/4*k.
-k*(k - 5)/4
Let l(v) = v**2 - 17*v - 232. Let h be l(-9). Factor 1 - 10/3*o + o**h.
(o - 3)*(3*o - 1)/3
Let q(y) = -2*y - 12. Let a be q(-8). Factor 2*f**4 - 10*f**3 + 9*f**3 + 2*f**2 + f**3 + a*f**3.
2*f**2*(f + 1)**2
Let g(j) = j**3 + 3*j**2 + 2*j. Let w be g(-2). Factor w*d - 12 + 0*d + 2*d**2 + d**2.
3*(d - 2)*(d + 2)
Let w be (-7)/(-4) - (-1)/4. What is h in h**w - 7 + 13 - 7 = 0?
-1, 1
Factor 4/9*h + 1/9*h**2 + 4/9.
(h + 2)**2/9
Let d(p) be the third derivative of 2*p**7/21 + 3*p**6/8 + p**5/2 + 5*p**4/24 - 4*p**2. Factor d(b).
5*b*(b + 1)**2*(4*b + 1)
Determine s, given that -15/2*s**2 - 3/2*s**3 + 0*s + 0 = 0.
-5, 0
Let k be -1 - 19*(0 + -1). Let n = k + -13. Factor 5*b**4 + b**n - 8*b**4 + 2*b**2 + 3*b**3 - 3*b**2.
b**2*(b - 1)**3
Factor 0 - 2/3*y**2 + 2/3*y.
-2*y*(y - 1)/3
Let w(j) be the third derivative of -8*j**5/15 - j**4/2 - 2*j**2. Let h(i) = i**3 - i**2 - i. Let o(k) = -20*h(k) + w(k). Suppose o(c) = 0. What is c?
-1, 0, 2/5
Suppose 3*w = -5*k - 34, 2*w - 2*k = w - 26. Let t be w + 15 - 3*-1. Factor 0*r**2 + t*r + 0 - 2/3*r**3 - 2/3*r**4.
-2*r**3*(r + 1)/3
Let c be (((-6)/(-2))/(-1))/1. Let v be (-2)/(-6) - 1/c. Solve v*x**2 + 0 + 0*x + x**3 = 0 for x.
-2/3, 0
Let d = -20459/5 + 4127. Factor -32/5 - 18/5*k**4 - d*k**2 + 128/5*k + 96/5*k**3.
-2*(k - 2)**2*(3*k - 2)**2/5
Let y = -7 + 3. Let p = 6 + y. Suppose c + 0*c**2 + 2*c**p - 2*c = 0. What is c?
0, 1/2
Suppose -j - 5*w - 15 = -0*j, 3*j - 2*w - 6 = 0. Factor -1/5*f + j + 1/5*f**2.
f*(f - 1)/5
Let i(m) be the first derivative of 2*m**6/27 - 14*m**5/45 + 4*m**4/9 - 2*m**3/9 + 19. Factor i(o).
2*o**2*(o - 1)**2*(2*o - 3)/9
Let c(i) = i**3 + 5*i**2 + 4. Let v be c(-4). Suppose -s = 2*s - 12, -2*z + v = 4*s. Let 1/3*d**4 - 2/3*d**z + 0*d**3 + 1/3 + 0*d = 0. Calculate d.
-1, 1
Suppose -332*x**2 + 3*x - 5*x**3 - 3*x**3 - x + 338*x**2 = 0. What is x?
-1/4, 0, 1
Suppose -o - 4*o + 15 = 0. Suppose 2*v - 11 = -o. Factor 18/7*r**3 + 10/7*r**5 + 26/7*r**v - 4/7*r - 2/7*r**2 + 0.
2*r*(r + 1)**3*(5*r - 2)/7
Factor -3 + 32*b**3 + 25*b + 3 + 5*b**4 - 57*b**3 - 5*b**2.
5*b*(b - 5)*(b - 1)*(b + 1)
Let y(c) = -3*c**3 + 5*c**2 + 5*c + 5. Let t be (-4)/(-4) - 6/1. Let b(x) = 4*x**3 - 7*x**2 - 7*x - 7. Let l(f) = t*b(f) - 7*y(f). Factor l(k).
k**3
Suppose 4*u = 9*u - 15. Let k(j) be the third derivative of -1/60*j**4 + j**2 + 1/840*j**8 - 2/525*j**7 + 0*j**6 + 1/75*j**5 + 0*j + 0*j**u + 0. Factor k(c).
2*c*(c - 1)**3*(c + 1)/5
Let y(z) be the first derivative of 1/9*z**3 - 1 + 1/18*z**6 + 0*z**2 - 1/12*z**4 - 1/15*z**5