Calculate m.
0, 2/3
Factor 2*p**2 - p - 4*p**2 + 3*p**2.
p*(p - 1)
Suppose 5*r + 2*k = 0, -k = -r - 2*k - 3. Find v, given that 2*v**2 - 5*v**2 + 2*v**2 - r*v - v**2 = 0.
-1, 0
Let t(a) = -a**2 - 8*a + 1. Let q be t(-8). Let s = 1 + q. Factor 1 + h**2 - h + s*h - 1.
h*(h + 1)
Let k be ((-4)/15)/2*(-70)/21. Let m be (-9)/27*4/(-6). Factor -2/3*l**2 + m - k*l.
-2*(l + 1)*(3*l - 1)/9
Let b(h) = 7*h**4 + h**3 - 6*h**2 - 6*h + 6. Let f(o) = 8*o**4 + o**3 - 7*o**2 - 7*o + 7. Let l(c) = -7*b(c) + 6*f(c). Let l(g) = 0. What is g?
-1, 0
Let s(m) = 23*m**2 - m. Let k be s(1). Suppose -a - 5*i = -k, -4*a + 24 = -0*a + 4*i. Find o such that -o**3 + o**2 - a*o**2 + 0*o**3 = 0.
-1, 0
Let c(u) be the second derivative of 3*u**8/224 - u**7/28 - u**6/48 + u**5/8 - u**3/3 + u**2/2 + u. Let p(j) be the first derivative of c(j). Factor p(k).
(k - 1)**3*(3*k + 2)**2/2
Suppose -5*y - g = -51 - 25, 5*y = 5*g + 70. Let o be 0 - 9/y - -2. Suppose p**2 + 0 - 9/5*p**3 - 2/5*p**5 - 1/5*p + o*p**4 = 0. What is p?
0, 1/2, 1
Factor -1/2 - 1/4*b**2 + 3/4*b.
-(b - 2)*(b - 1)/4
Let p(q) = -7*q**3 + 16*q**2 - 9*q. Let s(n) = 6*n**3 - 15*n**2 + 9*n. Let z(w) = 3*p(w) + 4*s(w). Determine l, given that z(l) = 0.
0, 1, 3
Determine w, given that 6*w**2 - 19*w**3 - 71*w**4 + 12*w**5 + 56*w**4 - 2*w**3 = 0.
-1, 0, 1/4, 2
Let a(b) = 6*b**3 - 8*b**2 + 6*b. Let r(y) = -6*y**3 - 7*y**3 + 15*y**2 - y - 11*y. Let l(m) = -7*a(m) - 3*r(m). Determine j so that l(j) = 0.
0, 2/3, 3
Let r = -579 - -579. Factor 2/7*i**2 + 4/7*i + r.
2*i*(i + 2)/7
Suppose 9 = 2*q + q. Suppose 3*r + r - 2*r - q*r**2 + 5*r**2 = 0. Calculate r.
-1, 0
Solve -2/5*a**5 - 6/5*a + 4/5 + 0*a**4 - 4/5*a**2 + 8/5*a**3 = 0 for a.
-2, -1, 1
Let y = -393 - -395. Factor -2/7 + 2/7*r**y + 0*r.
2*(r - 1)*(r + 1)/7
Let i be ((-2)/20*2)/(30/(-100)). Suppose 0 - i*n**3 - 2/3*n**4 + 0*n + 0*n**2 = 0. Calculate n.
-1, 0
Let r(h) be the second derivative of h**4/6 + 2*h**3 + 9*h**2 - 3*h. Factor r(z).
2*(z + 3)**2
Find b such that -12 - 4*b**3 - 2*b**2 + 30 - 18 + 4*b + 2*b**4 = 0.
-1, 0, 1, 2
Suppose -2*p = -i - 6, i = -4*p + 5 + 1. Factor 6*b**4 - 4*b**2 + b**2 + 2*b**3 - 3*b**4 + p*b - 4*b.
b*(b - 1)*(b + 1)*(3*b + 2)
Let n be (-9)/3 - (-219)/(-2). Let w = 116 + n. Factor b + 0 + w*b**3 + 9/2*b**2.
b*(b + 1)*(7*b + 2)/2
Let m(v) be the first derivative of 18/5*v**5 + 0*v + 0*v**3 + v**4 - 1 + 0*v**2. Factor m(p).
2*p**3*(9*p + 2)
What is k in -22*k**3 + 64*k**3 + 4*k**4 + 27*k**2 - 23*k**3 + 8*k - 4 = 0?
-2, -1, 1/4
Let n(h) be the third derivative of -h**6/40 + h**4/8 - 14*h**2. Determine r, given that n(r) = 0.
-1, 0, 1
Let v = 8 + -6. Suppose -3*g + 2*t + 12 = 0, -2*g = 3*g - v*t - 16. Factor 0*x**3 + 12*x**3 - 4*x**2 - g*x**3.
2*x**2*(5*x - 2)
Factor 2*x - 1 + 3*x**4 + x**4 - 4*x - 3*x**4 + 2*x**3.
(x - 1)*(x + 1)**3
Let t(a) be the third derivative of 0*a**3 - 1/36*a**4 - 1/45*a**5 + 0*a + 0 - 1/180*a**6 - 4*a**2. Determine o, given that t(o) = 0.
-1, 0
Let i be (-5 - -3 - -2)/(3 - 1). Let c = -207/4 + 52. Let 0 - c*f**5 - 1/4*f**2 + 1/4*f**4 + i*f + 1/4*f**3 = 0. What is f?
-1, 0, 1
Let j = 8 + -5. Determine a, given that -6*a**5 - 5 + 9*a**3 - 1 - 3*a - j*a**4 + 6 + 3*a**2 = 0.
-1, 0, 1/2, 1
Suppose 8*k - 8 = 4*k. Suppose -d - 5*d + 6*d**2 + k*d**3 + d**3 + 2 - 5*d**3 = 0. Calculate d.
1
Let r be ((-32)/840)/(2/(-5)). Let p(m) be the first derivative of 1 + 0*m**2 - 2/35*m**5 - r*m**3 + 0*m + 1/7*m**4. Suppose p(q) = 0. What is q?
0, 1
Let w(n) = -6*n**2 - n. Let x be w(-1). Let d = 8 + x. Factor -2*o + d*o**2 - o**2 + o**2.
o*(3*o - 2)
Let i = 25 - 23. Solve r**3 - 2 + 4*r - 5*r + i = 0.
-1, 0, 1
Let d(x) be the second derivative of -7*x**4/4 - x**3 + 5*x. Suppose d(q) = 0. What is q?
-2/7, 0
Let m(p) be the first derivative of -2*p**6 + 4*p**5/5 + 1. Let m(k) = 0. What is k?
0, 1/3
Suppose 0 = -r + 5 - 2. Suppose -r*s = 2*h - 18, -h = -4*h - 5*s + 29. Factor 4*g**4 - 2*g - 2*g**4 + 10*g**h + 9*g + g + 16*g**2.
2*g*(g + 1)*(g + 2)**2
Let s(q) be the first derivative of 7*q**6/2 + 3*q**5 - 3*q**4/2 + 4. Factor s(l).
3*l**3*(l + 1)*(7*l - 2)
Determine n so that 1/4*n**2 + 3/4*n - 1 = 0.
-4, 1
Let m = -14 + 14. Let z(d) be the first derivative of 1/11*d**2 + 1 + 0*d + m*d**3 - 1/22*d**4. Factor z(p).
-2*p*(p - 1)*(p + 1)/11
Let z(r) = 0*r**3 + 6*r - 2*r - 5 + 2*r**3 + 6*r**2 - r**3. Let y be z(-5). Factor -1/2*b**2 - 1/2*b + y.
-b*(b + 1)/2
Let s = -67 + 70. Let y(p) be the first derivative of 0*p**2 + 0*p**s + 0*p**4 + 2 - 2/5*p**5 + 1/3*p**6 + 0*p. Let y(k) = 0. Calculate k.
0, 1
Let p = -21/2 - -109/10. Let o(g) = g**3 + 12*g**2 - 12*g + 13. Let d be o(-13). Let d - 2/5*x - p*x**2 + 2/5*x**3 + 2/5*x**4 = 0. Calculate x.
-1, 0, 1
Factor 2/3*l**3 + 0 + 0*l - 2/3*l**5 + 2/3*l**4 - 2/3*l**2.
-2*l**2*(l - 1)**2*(l + 1)/3
Let p(h) = -h - 7. Let o be p(-7). Let x be (-1 + 4)*(o - -1). Determine m, given that -25/2*m**4 - 2 - 14*m - 69/2*m**2 - 35*m**x = 0.
-1, -2/5
Let q(k) be the third derivative of k**6/120 - k**5/20 - 9*k**2. Let q(f) = 0. Calculate f.
0, 3
Determine u, given that -1/7*u - 2/7*u**2 - 1/7*u**3 + 0 = 0.
-1, 0
Let k be 4 + ((-39)/(-10))/((-48)/(-64)). Find c such that 0 + 132/5*c**4 - 24/5*c**2 + 14*c**5 + k*c**3 - 8/5*c = 0.
-1, -2/7, 0, 2/5
Determine q, given that 2/11*q**3 - 12/11*q**2 + 24/11*q - 16/11 = 0.
2
Let i(p) = -p - 10. Let l be i(-6). Let b be l - (4 - (-240)/(-28)). Determine n so that -4/7*n**4 + 6/7*n**5 - 8/7*n**3 + b*n**2 + 2/7*n + 0 = 0.
-1, -1/3, 0, 1
Suppose -b + 0*b = r + 45, 3*r + 130 = -2*b. Let y be (-96)/r + (-4)/10. Solve 3/4*q**y + 1/2*q + 0 + 0*q**3 - 1/4*q**4 = 0 for q.
-1, 0, 2
Factor -4*f**2 + 19*f**4 - 8*f**3 - 15*f**4 - 8*f**2.
4*f**2*(f - 3)*(f + 1)
Let w be 4/12 + 2/(-6). Suppose w = -4*m - 8 + 24. Suppose -6*o**5 - 20*o**3 - 2 - 5*o**3 + 2*o + 22*o**m + 12*o**2 - 3*o**3 = 0. What is o?
-1/3, 1
Let p = -44 - -222/5. Solve 2/5 - p*u**2 + 0*u = 0 for u.
-1, 1
Suppose -4*i + 5 = -3. Suppose 0 = -2*k + n + 13, -2*k + 0*k = -3*n - 23. Factor -4/3 - i*c**k + 22/3*c**3 + 6*c - 10*c**2.
-2*(c - 1)**3*(3*c - 2)/3
Let n(q) = -16*q**2 - 23*q + 9. Let d = -21 + 30. Let r(c) = 4*c**2 + 6*c - 2. Let m(l) = d*r(l) + 2*n(l). Factor m(v).
4*v*(v + 2)
Let l be (1/20)/(39/52). Let h(m) be the third derivative of -2*m**2 + 0*m + 0 + 0*m**5 + 1/75*m**6 - 1/20*m**4 + l*m**3. Factor h(g).
2*(g + 1)*(2*g - 1)**2/5
Let g(v) be the second derivative of -7*v - 3/140*v**5 + 81/14*v**2 - 27/14*v**3 + 9/28*v**4 + 0. Let g(h) = 0. What is h?
3
Let p(a) be the second derivative of a**5/150 + a**4/90 - a**3/45 - a**2/15 - 8*a. Factor p(z).
2*(z - 1)*(z + 1)**2/15
Suppose 4*g - 14 = p, -p = -g + 2 - 0. Let y be (2 - 1)*-1 + 5. Find f, given that y*f + 5*f - 5*f - p*f**2 = 0.
0, 2
Let a = 1465/7 + -209. Solve 2/7 + a*o**4 - 2/7*o + 4/7*o**3 - 2/7*o**5 - 4/7*o**2 = 0 for o.
-1, 1
Let g = -2 + 6. Factor 2 + 8*o**3 + 5*o**3 - g*o**4 - 12*o**2 - 2*o**4 + 3*o**3.
-2*(o - 1)**3*(3*o + 1)
Let q be 8/(4 - 0) + 1. Let p(w) be the second derivative of 0*w**2 + 1/147*w**7 - 1/21*w**4 - w + 2/105*w**6 + 0*w**5 - 1/21*w**q + 0. Let p(j) = 0. What is j?
-1, 0, 1
Let p(l) be the third derivative of -l**8/168 + l**6/60 - 4*l**2. Factor p(d).
-2*d**3*(d - 1)*(d + 1)
Let y(p) = 8*p**2 - 18*p + 2. Let j(f) = 8*f**2 - 17*f + 3. Let h(t) = 4*j(t) - 3*y(t). Solve h(w) = 0.
3/4, 1
Let c(j) = j**2 - 4*j - 1. Let n(b) = -1. Let i(g) = -2. Let u(h) = -i(h) + 3*n(h). Let v(m) = -c(m) + 5*u(m). Let v(p) = 0. Calculate p.
2
What is l in 1/2*l - 5*l**3 + 9/2*l**2 + 0 = 0?
-1/10, 0, 1
Factor b**3 + 0 - b + 0 + 5*b**2 - 4*b**2 - b**4.
-b*(b - 1)**2*(b + 1)
Let n(z) be the first derivative of -z**4/7 + z**3/21 - 5. Find k, given that n(k) = 0.
0, 1/4
Let q be 16/3 - 4/12. Let z(n) be the third derivative of 0*n**q + 3*n**2 - 1/120*n**6 + 0 + 0*n**3 + 0*n + 0*n**4. Find k, given that z(k) = 0.
0
Suppose -10*t = -11*t. Factor 0 + t*v + 4/5*v**3 - 2/5*v**4 - 2/5*v**2.
-2*v**2*(v - 1)**2/5
Let 0 + 0*o**3 + 0*o**2 + 0*o - 3/4*o**5 + 3/4*o**4 = 0. What is o?
0, 1
Let o be 12/66 + 64/11. What is t in -2 + t - t**3 - 2 + o - t**2 - 1 = 0?
-1, 1
Let p be ((-2)/(-4))/((-7)/(-28)). Factor -2 + 2 + p*t + 2*t**2.
2*t*(t + 1)
Let o = 229/3 - 75. Let i be (-32)/(-12) + (-4)/2. Factor i*u - 2/3*u**2 + o.
-2*(u - 2)*(u + 1)/3
Suppose 12/5 - 22/5*b + 8/5*b**2 