j**7 - 2*j + 0*j**3 + 1/24*j**4 + u + 0*j**2. Factor r(t).
-t**2*(t - 1)*(t + 1)**2/2
Let q(i) = -i**3 + 9*i**2 + 2. Let y be q(9). Suppose -4/9*w - 2/9*w**y + 2/3 = 0. What is w?
-3, 1
Let i(t) be the first derivative of -3*t**4/2 - 7*t**3/3 - t**2/2 - 1. Factor i(m).
-m*(m + 1)*(6*m + 1)
Let p(d) be the second derivative of -7/30*d**4 + 7/75*d**6 - 2/15*d**3 + 1/21*d**7 - 3/50*d**5 - 4*d + 0 + 0*d**2. Find n, given that p(n) = 0.
-1, -2/5, 0, 1
Let s(m) = -m**3 + 9*m**2 + 2*m + 3. Let j be s(9). Determine v so that j - 3*v - v**3 - 21 + 4*v = 0.
-1, 0, 1
Let n = 16 + -9. Suppose -3*b - 2*p = -n*b - 6, -p + 3 = 4*b. Suppose b*u**3 - 1/3*u**4 + 0 + 0*u**2 + 0*u - 1/3*u**5 = 0. What is u?
-1, 0
Suppose 9*t - 10 = 4*t. Let d = 4 - t. Let 1/3*i**4 + 0 - i**3 + 0*i**d + 4/3*i = 0. What is i?
-1, 0, 2
Let -3/7*g - 3/7*g**5 - 12/7*g**2 + 0 - 18/7*g**3 - 12/7*g**4 = 0. Calculate g.
-1, 0
Let d(y) be the second derivative of y**5/20 + 2*y**4/3 + 4*y**3/3 + 9*y**2/2 - y. Let m be d(-7). Factor m*j**2 + j**2 + j**3 - 4*j**2.
j**2*(j - 1)
Let l(s) be the first derivative of -s**5/5 - 9*s**4/16 - s**3/6 - 20. Factor l(k).
-k**2*(k + 2)*(4*k + 1)/4
What is z in -10/13*z**5 + 28/13*z**3 + 12/13*z**4 - 18/13*z + 4/13 - 16/13*z**2 = 0?
-1, 1/5, 1, 2
Suppose -3*s = -2*f - 8, -20 = 3*s - 0*s + 5*f. Let j = -104 + 106. Find t such that -1/6*t**j + s*t + 0 = 0.
0
Let g = -2/43 - -47/86. What is r in -1/2*r - g*r**2 + 0 = 0?
-1, 0
Let r(t) be the second derivative of t**4/6 + 4*t**3/3 + 4*t**2 + 5*t. Factor r(x).
2*(x + 2)**2
Let l(i) be the second derivative of -2*i**6/45 - i**5/15 + i**4/3 + 2*i**3/9 - 4*i**2/3 + 9*i. Find b, given that l(b) = 0.
-2, -1, 1
Suppose -x - 4*x + 15 = 0. Suppose 2*k + 10 = 2*c, x*k + 4*c = 24 - 4. Factor k + 1/6*y - 1/6*y**2.
-y*(y - 1)/6
Let y(j) = -j**3 - 1. Let z(d) = 6*d**3 - 6*d**2 + 9*d + 1. Let u(t) = 5*y(t) + z(t). Factor u(g).
(g - 4)*(g - 1)**2
Let v(z) = 6*z - 1. Let c(q) = -q**2. Let h(b) = 21*c(b) - 3*v(b). Factor h(g).
-3*(g + 1)*(7*g - 1)
Find o, given that 30*o - 20*o + 22*o - 5*o**2 + 28*o = 0.
0, 12
Suppose 9 = 4*l - l. Suppose 0 = 5*t - 17 - l. Factor -f**t + 2*f**3 + 12*f**2 - 2 + 14*f**3 + 7*f**4.
2*(f + 1)**3*(3*f - 1)
Factor 0 + 3*t**2 - 3/4*t - 9/2*t**3 + 3*t**4 - 3/4*t**5.
-3*t*(t - 1)**4/4
Let d(r) be the second derivative of r**6/20 - 3*r**5/10 + r**4/4 + r**3 - 9*r**2/4 - 52*r. Factor d(t).
3*(t - 3)*(t - 1)**2*(t + 1)/2
Let p(j) be the second derivative of -j**6/1620 + j**5/540 - j**3/3 - 3*j. Let i(t) be the second derivative of p(t). Suppose i(x) = 0. What is x?
0, 1
Let r(b) = -b**2 - 39*b + 81. Let q(y) = -y**2 + 2*y - 1. Let m be q(-2). Let v(l) = -10*l + 20. Let z(o) = m*v(o) + 2*r(o). Factor z(x).
-2*(x - 3)**2
Find z such that -1/4*z**3 + 3/4*z**2 + 0 + 0*z = 0.
0, 3
Let p(i) be the first derivative of 1/4*i**4 - i**2 + 0*i - 1/3*i**3 - 3. Factor p(z).
z*(z - 2)*(z + 1)
Let r(v) be the second derivative of -50*v**7/189 - 22*v**6/27 + 56*v**5/45 - 4*v**4/9 - 11*v. Determine m, given that r(m) = 0.
-3, 0, 2/5
Suppose -2*y + 6 = -3*y + 2*g, -3*g + 12 = 0. Let 6 + 40*q - 32*q + 9*q**y - 23*q = 0. Calculate q.
2/3, 1
Let j(x) be the second derivative of -x**4/24 - 25*x**3/24 + 13*x**2/8 + 46*x. Find v such that j(v) = 0.
-13, 1/2
Let n(l) be the second derivative of -l**5/10 - l**4/3 + l**3/3 + 2*l**2 - 6*l. Find x such that n(x) = 0.
-2, -1, 1
Let s(m) be the second derivative of 5*m**7/168 - m**6/3 + 3*m**5/8 + 25*m**4/6 + 125*m**3/24 + 26*m. What is y in s(y) = 0?
-1, 0, 5
Let w(j) be the first derivative of j**7/420 - j**5/60 + j**3/3 + 3. Let c(f) be the third derivative of w(f). Factor c(o).
2*o*(o - 1)*(o + 1)
Let c(t) = 4*t**2 + 16*t - 20. Let h(l) = -l**2 - 3*l + 4. Let v(i) = 3*c(i) + 16*h(i). Factor v(f).
-4*(f - 1)*(f + 1)
Let o(u) be the second derivative of u**4/32 - 17*u**3/16 - 10*u + 2. Factor o(r).
3*r*(r - 17)/8
Let d(m) be the third derivative of 0*m**5 + 1/120*m**6 + 2*m**2 - 1/24*m**4 + 0*m**3 + 0 + 0*m. Factor d(z).
z*(z - 1)*(z + 1)
Let o(d) = -d**3 - 3*d**2 - 4. Let f be o(-3). Let w = 5 + f. Factor 1 + w + 0 - 2*q**2.
-2*(q - 1)*(q + 1)
Let g = 291 + -291. What is r in -2*r**4 + g - 11/2*r**2 - 13/2*r**3 - r = 0?
-2, -1, -1/4, 0
Let g(i) be the third derivative of i**7/70 + 3*i**6/20 + 13*i**5/20 + 3*i**4/2 + 2*i**3 - 4*i**2. Determine x, given that g(x) = 0.
-2, -1
Let f = -17 + -67. Let l be ((-6)/(-108))/((-3)/f). What is j in 46/9*j**3 - 16/9*j**4 + 2/9 - l*j - 32/9*j**5 + 14/9*j**2 = 0?
-1, 1/4, 1
Let b(r) be the third derivative of r**3 + 4*r**2 + 7/40*r**6 - 3/8*r**4 - 3/20*r**5 - 3/70*r**7 + 0 + 0*r. Suppose b(h) = 0. What is h?
-2/3, 1
Let f be (10/4)/5*8. Suppose -2*h - 4 = -f*h. Factor -1/2*o**h + 0 + 1/2*o**4 - 1/2*o + 1/2*o**3.
o*(o - 1)*(o + 1)**2/2
Let u = -3 - -7. Let v be ((-10)/u)/(2/(-4)). What is c in 10*c**v + 42*c**3 - 16*c**2 - 48*c**4 + 2*c + 8*c**5 + 2*c**3 = 0?
0, 1/3, 1
Let v(r) be the first derivative of -r**4/4 + 5*r**3/3 - 7*r**2/2 + 3*r + 7. Determine o, given that v(o) = 0.
1, 3
Factor 4/3 - 6*s**2 - 14/3*s.
-2*(s + 1)*(9*s - 2)/3
Let m(w) = 2*w - 5. Let p be m(8). Let f = -75/7 + p. Factor -f + 2/7*b**2 + 0*b.
2*(b - 1)*(b + 1)/7
Let d = 21 + -12. Let f be (-14)/d*420/(-49). Solve -8/3 - 50/3*j**2 + f*j = 0.
2/5
Let z(m) = m**3 - 2*m**2 - m - 2. Let d(b) = 3*b**3 - 6*b**2 - 3*b - 5. Let w(s) = -4*d(s) + 11*z(s). Find x such that w(x) = 0.
-1, 1, 2
Suppose 9 = 8*k - 23. Suppose 3*m + 9 = -k*y, 4*m + 3 = 3*m. Factor 3*g**3 + y*g**2 - 15/2*g**4 + 0 + 9/2*g**5 + 0*g.
3*g**3*(g - 1)*(3*g - 2)/2
Suppose -2*c + 4*q - 7 + 19 = 0, 4*c = -2*q + 4. Factor -g**c - g**3 + 3*g**2 - g**2 - g**4 + g.
-g*(g - 1)*(g + 1)**2
Let p(m) be the second derivative of -7*m**4/12 + 8*m**3/3 - 2*m**2 + 8*m. Factor p(h).
-(h - 2)*(7*h - 2)
Let h = 26/27 + -20/27. Factor 0*m + 0 - h*m**2 - 2/9*m**3.
-2*m**2*(m + 1)/9
Let r = 20 - 11. Let a = -7 + r. Factor -6*o**3 + 2/3 + 10*o**a - 14/3*o.
-2*(o - 1)*(3*o - 1)**2/3
Let r = 0 - 1. Let q(w) = w**4 + w**2. Let j(y) = -3*y**4 - y**3 - 5*y**2 + y. Let z(t) = r*j(t) - 4*q(t). Factor z(h).
-h*(h - 1)**2*(h + 1)
Solve 1/6*i**5 - 1/6*i**3 - 1/6*i**2 + 1/6*i**4 + 0 + 0*i = 0.
-1, 0, 1
Let l = -16 + 481/30. Let c(m) be the third derivative of -2*m**2 + 0*m + 0 - 1/105*m**7 + 1/6*m**4 + 0*m**5 + 1/3*m**3 - l*m**6. Factor c(w).
-2*(w - 1)*(w + 1)**3
Let c = -2 + 4. Let w be (2 - c)/2 + 0. Factor -2*q + w*q + q**2 + q**2.
2*q*(q - 1)
What is g in -3/2*g**3 + 3/2*g + 1/4*g**2 - 1/4*g**4 + 0 = 0?
-6, -1, 0, 1
Let x(t) be the first derivative of -4*t**5/15 + t**4/3 + 4*t**3/9 - 2*t**2/3 - 47. Let x(q) = 0. Calculate q.
-1, 0, 1
Factor 2*j**4 + j + 10 + 6*j**3 + 6*j**2 - 10 + j.
2*j*(j + 1)**3
Let t(m) be the second derivative of -m**6/180 - m**5/120 + m**4/72 + m**3/36 - 7*m. Factor t(v).
-v*(v - 1)*(v + 1)**2/6
Let p(w) = w**5 - 2*w**4 + w**3 + 2*w**2 - 2*w. Let y(v) = -3*v**5 + 7*v**4 - 4*v**3 - 7*v**2 + 7*v. Let j(i) = 21*p(i) + 6*y(i). Factor j(o).
3*o**3*(o - 1)*(o + 1)
Suppose 4*x = 4*o, 5*x - 20 = -4*o - o. Suppose -6 = o*j - 5*j. What is i in -16/3*i - 8*i**j - 2/3*i**4 - 4*i**3 + 0 = 0?
-2, 0
Let t(d) be the third derivative of 2/15*d**3 - 1/150*d**5 + 0 - 1/60*d**4 + 0*d + 4*d**2. Factor t(m).
-2*(m - 1)*(m + 2)/5
Suppose 0 = 4*h - i - 237, 4*h + 4*i - 212 = -0*h. Let f = 176/3 - h. What is v in -4/3*v**2 + 2*v**3 + 0*v**4 + 0*v + 0 - f*v**5 = 0?
-2, 0, 1
Suppose -6*f - 1 = -5*f. Let g be f - (-4 + (-32)/(-12)). Factor y**2 + 0*y - 2/3*y**3 - g.
-(y - 1)**2*(2*y + 1)/3
Let j(r) = -r**4 + r**2 - r - 1. Let d(l) = -3*l**5 + l**4 + 3*l**3 - l**2 + 2*l + 2. Let o(g) = -2*d(g) - 4*j(g). Find a such that o(a) = 0.
-1, -1/3, 0, 1
Suppose 0 = -3*v - 5*q + 1, -6*q + 3 = 4*v - q. Factor -1/2*r + 0 + 1/2*r**3 - 2*r**4 + v*r**2.
-r*(r - 1)*(r + 1)*(4*r - 1)/2
Let g(q) be the first derivative of q**2 + 4/5*q**5 + 0*q + 2 - 1/3*q**6 + 0*q**4 - 4/3*q**3. Factor g(t).
-2*t*(t - 1)**3*(t + 1)
Let m(f) be the third derivative of -f**6/80 - f**5/8 - 3*f**4/8 - 11*f**2. Determine d so that m(d) = 0.
-3, -2, 0
Let z(m) be the third derivative of -m**6/40 - m**5/4 - m**4 - 2*m**3 + 12*m**2. Determine u so that z(u) = 0.
-2, -1
Suppose q = -4*q + 15. Suppose 20 + 1 = q*m. Factor -m*t - 42*t - 22*t**2 - 8 + 9*t + 70*t**3.
2*(t - 1)*(5*t + 2)*(7*t + 