 o(v).
-2*(3*v - 2)**2
Suppose -5*v**2 + 40*v + 0*v**2 - 25*v + 20 = 0. What is v?
-1, 4
Let h(o) = -4*o**4 + o**3 + 6*o**2 - 11*o + 11. Let r(p) = p**4 + p**3 - p**2 - p - 1. Let t(u) = -h(u) - 3*r(u). Factor t(c).
(c - 4)*(c - 1)**2*(c + 2)
Factor -7/4*v**4 + 3/4*v**5 + 0 + 5/4*v**3 + 0*v - 1/4*v**2.
v**2*(v - 1)**2*(3*v - 1)/4
Suppose -4*g - 1 = 7, 2*g - 6 = -5*s. What is o in 20*o**3 - o**2 + 3*o**4 + o**5 + 9*o**s + 13*o**4 + 3*o**5 = 0?
-2, -1, 0
Suppose 0 = -6*b + 4*b. Let q be 1/((-3 - 9)/(-4)). Factor -q*n**5 + b*n - 1/3*n**2 + 1/3*n**3 + 1/3*n**4 + 0.
-n**2*(n - 1)**2*(n + 1)/3
Let q(p) = 15*p**4 + 3*p**3 - 6*p**2 + 6*p - 9. Let w(i) = 7*i**4 + i**3 - 3*i**2 + 3*i - 4. Let o(y) = -4*q(y) + 9*w(y). What is h in o(h) = 0?
-1, 0, 1
Let x(c) = -c**4 - 13*c**3 + 5*c**2 - 5*c. Let z(k) = -7*k - 12*k**3 + 4*k**2 - 5*k + 8*k. Let t(f) = 4*x(f) - 5*z(f). Factor t(p).
-4*p**3*(p - 2)
Let s = 1320/161 - 67/23. Let v = 188/21 - s. What is i in -2/3*i**2 - v*i**3 - 7/3*i**5 - 16/3*i**4 + 0 + 0*i = 0?
-1, -2/7, 0
Let o(a) be the third derivative of 0*a + 0*a**3 + 1/60*a**6 - 3/10*a**5 + 1/6*a**4 + 3*a**2 + 4/35*a**7 + 0. Find w, given that o(w) = 0.
-1, 0, 1/4, 2/3
Let p = -5627/490 + -4/245. Let m = -11 - p. Solve 27/2*i**2 + 27/2*i**3 + m + 9/2*i = 0.
-1/3
Let x(j) be the first derivative of 1/12*j**4 + 1/20*j**5 + 0*j**2 - 2*j - 1/6*j**3 + 2 - 1/30*j**6. Let f(v) be the first derivative of x(v). Factor f(q).
-q*(q - 1)**2*(q + 1)
Suppose 0 = -3*n - n + 2*v, -4*v = -16. Factor 0*u - 2/5*u**5 + 0 + 2/5*u**3 - 2/5*u**4 + 2/5*u**n.
-2*u**2*(u - 1)*(u + 1)**2/5
Let u(l) be the second derivative of -l**6/45 + l**5/15 - l**4/18 + 3*l. What is b in u(b) = 0?
0, 1
Let a(p) = 3*p**2 - 5*p + 1. Let g be a(2). Let t(i) be the first derivative of -1 + 0*i + 0*i**2 + 2/3*i**g. Let t(q) = 0. Calculate q.
0
Suppose 2*b + 0 = -4. Let d be 12/(-36)*3/b. Factor 0*k - d + 1/2*k**2.
(k - 1)*(k + 1)/2
Suppose -5*i - 5*l + 43 = 13, 2*i = -3*l + 15. Suppose -20 = 5*g + 5*z, 2*g = i*z + 11 + 1. Solve 0*p + g*p**3 + 4/7*p**2 - 2/7 - 2/7*p**4 = 0.
-1, 1
Let p(m) be the second derivative of m + 1/6*m**4 + 0*m**3 + 0*m**2 + 1/5*m**5 + 0 + 1/15*m**6. Factor p(f).
2*f**2*(f + 1)**2
Let x be (6 - (4 + -3)) + -3. Factor -4/3*p**x + 0 + 2/3*p + 2/3*p**3.
2*p*(p - 1)**2/3
Factor 54*t**2 + 3 - 7*t**3 + 5 + 3*t**3 - 38*t**2 - 20*t.
-4*(t - 2)*(t - 1)**2
Suppose 6*l = -5*l + 22. Let -4/3*r**l + 0 - 2/3*r - 2/3*r**3 = 0. Calculate r.
-1, 0
What is c in 0 + 1/2*c - c**4 - 1/2*c**5 + 0*c**3 + c**2 = 0?
-1, 0, 1
Let u = 92 + -92. Let d(y) be the third derivative of 0 + u*y**4 + 1/30*y**5 - 4*y**2 - 1/3*y**3 + 0*y. Factor d(g).
2*(g - 1)*(g + 1)
Let q(d) be the first derivative of -d**3/6 - d**2/4 - 6. Find s such that q(s) = 0.
-1, 0
Let m(q) = 6*q**3 + 10*q**2 + 10*q + 2. Let k(r) = -7*r**3 - 11*r**2 - 11*r - 2. Let x(b) = -4*k(b) - 5*m(b). Factor x(n).
-2*(n + 1)**3
Determine t so that -2/5*t - 1/5*t**5 + 1/5*t**2 + 3/5*t**3 - 1/5*t**4 + 0 = 0.
-2, -1, 0, 1
Let m(z) be the first derivative of -4/3*z**3 - 4 - 5/2*z**2 - 2*z - 1/4*z**4. Factor m(s).
-(s + 1)**2*(s + 2)
Let y(m) be the third derivative of -m**9/75600 - m**8/8400 + m**7/6300 + m**6/300 + m**5/30 + 5*m**2. Let u(v) be the third derivative of y(v). Factor u(z).
-4*(z - 1)*(z + 1)*(z + 3)/5
Let j be 73/765 + 18/81. Let x = 15/17 + j. Let 2/5*a**2 + x*a + 4/5 = 0. Calculate a.
-2, -1
Let l(g) be the first derivative of -1/10*g**4 - 3 + 0*g**3 + 1/5*g**2 + 0*g. Solve l(j) = 0.
-1, 0, 1
Suppose 3*h - x - 13 + 6 = 0, -x - 1 = 0. Let a(g) be the first derivative of 1/4*g - 1/2*g**h + 1/2*g**3 - 2 + 1/20*g**5 - 1/4*g**4. Find r such that a(r) = 0.
1
Let g = 28 - 25. Let h(u) be the first derivative of -3/4*u**4 + 0*u + 3/2*u**2 + 0*u**g - 2. Suppose h(w) = 0. Calculate w.
-1, 0, 1
Find p, given that 42*p**3 + 157*p**2 + 20 + 3*p**4 + 252*p + 26*p**2 + 88 = 0.
-6, -1
Let g(f) be the first derivative of 4*f**3/15 + 16*f**2/5 + 64*f/5 - 24. Factor g(n).
4*(n + 4)**2/5
Let a(m) be the second derivative of 1/12*m**4 + 1/20*m**5 - 1/6*m**3 + 5*m - 1/30*m**6 + 0 + 0*m**2. Factor a(l).
-l*(l - 1)**2*(l + 1)
Let v(y) be the second derivative of -y**7/1575 + y**6/360 - y**5/300 - y**4/3 - 7*y. Let o(r) be the third derivative of v(r). Suppose o(g) = 0. What is g?
1/4, 1
Let l be 1*3 - 2/(-2). Let c be ((-196)/l)/(-2 - -1). Find n, given that -4*n - c*n**5 + 8*n**2 + 23*n**3 + 28*n**2 + 126*n**4 - 132*n**3 = 0.
0, 2/7, 1
Suppose 0*u = -4*u + 8. Let x be 104/20 + (-5 - -1). Solve x*b + 2/5 - 8/5*b**u = 0.
-1/4, 1
Let v = 901/3 + -6271/21. Find l such that v - 9/7*l - 3/7*l**2 = 0.
-4, 1
Let q be 1/(-4) - (-9)/4. Factor -3*l + 18*l - 3*l**2 + 11*l**3 + 12*l**2 + 2 + 15*l**q.
(l + 1)**2*(11*l + 2)
Find j such that -204*j**4 + 2*j**2 - 2*j**5 + 5*j + j**5 + 2 - 4*j**3 + 200*j**4 = 0.
-2, -1, 1
Let r = 3/701 + 18915/2804. Let s = 7 - r. Let -1/2*d**3 + s - 1/2*d + d**5 + 7/4*d**4 - 2*d**2 = 0. What is d?
-1, 1/4, 1
Let r(t) be the third derivative of 2*t**2 + 1/21*t**3 + 0*t + 1/42*t**4 + 0 - 1/210*t**6 - 1/210*t**5. Factor r(u).
-2*(u - 1)*(u + 1)*(2*u + 1)/7
Suppose 2*i + 0 - 4 = 0. Factor -3*a**i - a**2 + 2*a + 5*a**2.
a*(a + 2)
Suppose g = -g - 6. Let w = 3 + g. What is d in w + 4/5*d - 2*d**2 = 0?
0, 2/5
Suppose 4*c + 4 = 4*p, 0*c + 2*c - 33 = -5*p. Find t such that -12 + c*t - 14*t**3 + 10*t**2 + 12 = 0.
-2/7, 0, 1
Let m(q) be the second derivative of q**5/50 - 2*q**4/15 - 11*q**3/15 - 6*q**2/5 + 51*q. Solve m(j) = 0.
-1, 6
Let l(q) be the third derivative of -q**10/7560 + q**9/7560 + q**5/12 - 3*q**2. Let b(v) be the third derivative of l(v). Factor b(w).
-4*w**3*(5*w - 2)
Let i(d) be the second derivative of d**5/35 - d**4/7 - 8*d**3/21 + 2*d - 7. Factor i(g).
4*g*(g - 4)*(g + 1)/7
Let i = -491 + 494. Factor 0 + 0*k**2 + 1/2*k**i - 1/2*k.
k*(k - 1)*(k + 1)/2
Let f(q) be the first derivative of 1/2*q**5 + 1/2*q - 5/4*q**2 - 3 + 5/3*q**3 - 1/12*q**6 - 5/4*q**4. Find i such that f(i) = 0.
1
Let j(n) = -27*n**4 + 63*n**2 - 54*n + 12. Let r(y) = -53*y**4 + y**3 + 126*y**2 - 109*y + 24. Let a(w) = 11*j(w) - 6*r(w). Let a(p) = 0. Calculate p.
-2, 2/7, 1
Let q(h) be the first derivative of -h**7/70 - h**6/40 + h**5/10 - h**2/2 - 3. Let k(y) be the second derivative of q(y). Suppose k(m) = 0. What is m?
-2, 0, 1
Let o(u) be the first derivative of 3*u**5/5 - 2*u**3 + 3*u - 2. Solve o(k) = 0 for k.
-1, 1
Let u(k) be the third derivative of -k**6/480 - k**5/160 + k**4/16 + k**3 - 6*k**2. Let s(i) be the first derivative of u(i). Find l such that s(l) = 0.
-2, 1
Factor 2*u**3 - u**2 + 5*u**2 - u + 3*u.
2*u*(u + 1)**2
Let o be (-2 - (-32)/20)/2*-6. Factor 8/5 + 8/5*c - o*c**2 + 2/5*c**4 - 4/5*c**3.
2*(c - 2)**2*(c + 1)**2/5
Suppose z - 3 = -0. Let a be z - 3/(-15) - 2. Factor a*k**4 - 4/5*k**2 + 2/5*k**5 - 6/5*k + 4/5*k**3 - 2/5.
2*(k - 1)*(k + 1)**4/5
Let n = -63 + 68. Let q(w) be the second derivative of 0 + 0*w**2 - 1/90*w**6 - 1/60*w**n + 1/18*w**3 - 3*w + 1/36*w**4. Factor q(c).
-c*(c - 1)*(c + 1)**2/3
Let u be 5/(-6) - (-12)/8. Factor -1/3*r**4 + u*r + 1/3 - 2/3*r**3 + 0*r**2.
-(r - 1)*(r + 1)**3/3
Let o(g) be the first derivative of 0*g**2 + 0*g - 1 + 2/15*g**5 + 0*g**3 + 1/6*g**4. Factor o(c).
2*c**3*(c + 1)/3
Let j(i) = -3*i + 2. Let g be j(-3). Suppose 3*o + 5*k = -g, 2*k + 2 = 5*o - 21. Determine b so that 2 + 3*b + o*b + 2*b**2 - 2*b = 0.
-1
Let p(l) = 5*l**4 - 10*l**3 + 11*l**2 - 6. Let m(w) = -5*w**4 + 10*w**3 - 10*w**2 + 5. Let k(u) = 6*m(u) + 5*p(u). Factor k(c).
-5*c**2*(c - 1)**2
Let l be (-24)/120*(-15 + 0). Let c(h) be the second derivative of 0 - 1/15*h**6 + 0*h**2 + l*h + 0*h**3 + 1/6*h**4 + 0*h**5. Factor c(v).
-2*v**2*(v - 1)*(v + 1)
Suppose 7*l = 3*l + 12. What is o in 197*o**3 + o**4 - 194*o**l - o**4 + 3*o**4 = 0?
-1, 0
Suppose 4*q - 11 = x - 2, -2*x - 8 = -3*q. Factor 0*s + 0 + 3/2*s**q.
3*s**2/2
Let n(i) = i**3 - 9*i**2 + 7*i + 8. Let m be n(8). Let r(x) be the third derivative of 1/15*x**5 + 1/60*x**6 + 0*x**3 + 0 + 1/12*x**4 + x**2 + m*x. Factor r(k).
2*k*(k + 1)**2
Let v = 55 + -53. Suppose -2/3*f**v + 2/3*f**5 + 0*f - 2/3*f**3 + 0 + 2/3*f**4 = 0. Calculate f.
-1, 0, 1
Let q(z) be the third derivative of 1/24*z**4 - 1/240*z**6 + 0*z**3 - z**2 + 0 + 0*z + 1/120*z**5. Factor q(f).
-f*(f - 2)*(f + 1)/2
Let j(d) be th