s**2 = 0.
-1, 0, 1
Let x(u) be the first derivative of u**6/6 - u**4 + 2*u**3/3 + 3*u**2/2 - 2*u - 4. Suppose x(q) = 0. What is q?
-2, -1, 1
Suppose -g + 4 = 0, -4*k + 2*g = -g + 24. Let o = k - -5. Suppose -2*z + 2*z**3 + o*z + 2*z**2 = 0. Calculate z.
-1, 0
Let v(j) = -j**3 + 10*j**2 + 1. Let p be v(10). Suppose -m + 5*m - 2 = -h, 5*h - 10 = 3*m. Factor -2*o**h - p + 2*o**2 + 2*o**2 - 1.
2*(o - 1)*(o + 1)
Determine o, given that -3/4*o**3 - 81/2 + 81/4*o + 0*o**2 = 0.
-6, 3
Let t(s) be the second derivative of -5*s**4/12 + 18*s. Solve t(c) = 0 for c.
0
Let s(y) = -y**2 - 9*y - 10. Let i be s(-7). Factor -5*u**i - 12*u**2 - 7*u**4 - 3*u**5 + 3*u - 18*u**3 - 6*u.
-3*u*(u + 1)**4
Suppose -3*l + 8 = -l. Suppose 5*t - 30 = -5*q, 3*q - 3*t = -0*t + 6. Suppose 26*f**2 + 40*f**2 - 2 + 20*f + 32*f**q + 80*f**3 + l = 0. What is f?
-1, -1/4
Factor 24/5*c - 4/5*c**2 - 4.
-4*(c - 5)*(c - 1)/5
Let l be 9/2*24/54. Find t such that -l*t + 0 + 2/3*t**2 = 0.
0, 3
Factor -2*m**2 + 0 + 1/3*m**3 - 7/3*m.
m*(m - 7)*(m + 1)/3
Let k(f) be the second derivative of -f**4/12 + f**3 + 7*f**2/2 + 5*f. Let n be k(7). Factor 0*q**2 - q**3 + n*q + 1/2*q**4 + 0.
q**3*(q - 2)/2
Suppose -12*i + 16*i = 0. Factor -1/2*l + i + 1/2*l**2.
l*(l - 1)/2
Suppose 4*b = 22 - 2. Let l(x) = 6*x**3 + 30*x**2 + 56*x + 16. Let f(k) = -4*k**3 - 20*k**2 - 37*k - 11. Let w(p) = b*l(p) + 8*f(p). Factor w(y).
-2*(y + 1)*(y + 2)**2
Let w(j) be the third derivative of -j**9/10584 + j**7/1470 - j**5/420 + j**3/3 + 4*j**2. Let r(l) be the first derivative of w(l). Let r(z) = 0. Calculate z.
-1, 0, 1
Let x(p) be the second derivative of -p**7/84 - p**6/20 - 3*p**5/40 - p**4/24 + 6*p. Solve x(o) = 0 for o.
-1, 0
Let d(s) be the third derivative of 0*s + 0*s**3 - 1/525*s**7 + 0 + 0*s**4 + 6*s**2 - 1/150*s**6 + 0*s**5. Factor d(a).
-2*a**3*(a + 2)/5
Let k(v) = -3*v. Let q be k(-2). Let o be (-1)/(-3)*q/8. Find s such that -o*s + 0*s**2 + 1/2*s**3 + 0*s**4 - 1/4*s**5 + 0 = 0.
-1, 0, 1
Let g(m) = -9*m**2 - m**3 + 6*m**2 - 2*m**2 - m + 3*m**3. Let j(y) = -5*y**3 + 5*y**2 + 4*y**2 + 2*y + 2*y**2. Let h(f) = 7*g(f) + 3*j(f). Factor h(z).
-z*(z + 1)**2
Let c(u) = u**2 - 10*u + 4. Let x be c(7). Let j = x + 35/2. Suppose -3/2*l**3 + j*l**4 + 0 + 2*l + 0*l**2 = 0. Calculate l.
-1, 0, 2
Let i = 2 - -5. Find a, given that -2*a**3 - i*a**3 + 8*a**2 + 9*a**5 + 3*a - 3*a**3 + 6 - 26*a**2 + 12*a**4 = 0.
-1, 2/3, 1
Let u = -17 - -11. Let q be 4/u*(-12)/16. Determine k so that 0 + 0*k + q*k**2 = 0.
0
Let j be 4/20 + (-38)/(-10). Suppose -12 = -5*p + 5*n + 98, j*p + 3*n - 116 = 0. Factor -g - 26 + g**3 + p.
g*(g - 1)*(g + 1)
Let k = 254 + -179. Let l be ((-18)/k)/(3/(-10)). Find q, given that 2/5 - 2/5*q**4 - 4/5*q + 0*q**2 + l*q**3 = 0.
-1, 1
Let h = -1127/4 + 282. Factor h*y**4 - 1/4*y**5 - 1/2*y**2 + 1/4 - 1/4*y + 1/2*y**3.
-(y - 1)**3*(y + 1)**2/4
Factor -2/11 + 2/11*j**2 + 2/11*j - 2/11*j**3.
-2*(j - 1)**2*(j + 1)/11
Let n = -1 + 3. Factor -2*s**2 + s**n - 2 + s + 2*s.
-(s - 2)*(s - 1)
Let z = -14 - -18. Let o(r) be the third derivative of 1/210*r**7 + 0*r**6 + 0 - 1/180*r**5 + 0*r**3 + 0*r**4 + 1/504*r**8 + 0*r + z*r**2. Solve o(j) = 0.
-1, 0, 1/2
Let s = 401/7 - 57. Let 4/7*u - s*u**2 - 2/7 = 0. Calculate u.
1
Let v(k) be the second derivative of k**7/21 + k**6/3 + 7*k**5/10 + k**4/2 + 61*k. Suppose v(o) = 0. What is o?
-3, -1, 0
Let w be 6/8*40/45. Suppose 0 = -4*t + t + 6. Let -w - 2/3*x**3 - 2*x**t - 2*x = 0. What is x?
-1
Let r = -25 - -32. Suppose 1 = -4*d + 9. Solve -r*w**2 + 3*w**2 + 2 + 3*w**d - w = 0 for w.
-2, 1
What is h in 3/4*h**5 - 21/8*h**3 + 15/8*h + 3/8*h**4 + 3/8*h**2 - 3/4 = 0?
-2, -1, 1/2, 1
Let k = -2/1291 + 1591/193650. Let u(w) be the third derivative of -2*w**2 - 1/300*w**6 + 1/30*w**4 + 0*w**3 + 0 + 0*w + k*w**5. Factor u(r).
-2*r*(r - 2)*(r + 1)/5
Factor 23*w**2 - 11 - 9*w**4 - 8 - 13*w - 3*w**3 + 21.
-(w - 1)*(w + 2)*(3*w - 1)**2
Let k = -42 - -47. Let v(o) be the third derivative of 1/105*o**7 + o**2 + 1/30*o**k + 1/30*o**6 + 0*o**3 + 0 + 0*o + 0*o**4. What is q in v(q) = 0?
-1, 0
Let h(p) be the third derivative of -1/60*p**6 + 0*p**3 - 4*p**2 - 1/4*p**4 + 0 + 0*p - 2/15*p**5. Find z, given that h(z) = 0.
-3, -1, 0
Let r(h) = 5*h - 1. Let j be r(1). Determine a so that 11*a**2 + 3*a - j*a - 12*a**2 = 0.
-1, 0
Let x(p) be the third derivative of -p**6/12 - 3*p**5/10 - p**4/4 + p**3/3 + 2*p**2. Suppose x(q) = 0. What is q?
-1, 1/5
Let l(s) = -3*s**2 + 20*s - 4. Let p(c) = -c. Let v be p(-3). Let w(h) = -4*h + 0*h + h**2 - v*h + 4 - 3. Let d(a) = 3*l(a) + 8*w(a). Let d(r) = 0. What is r?
2
Let u(w) be the third derivative of 0*w**3 - 1/60*w**5 - 4/105*w**7 - 1/84*w**8 + 0*w + w**2 + 0 + 0*w**4 - 1/24*w**6. Factor u(r).
-r**2*(r + 1)*(2*r + 1)**2
Let a = -8 - -7. Let i be a/(-4) + (-33)/(-12). Factor -b**5 - 3*b**3 + 6*b**5 - i*b**5 + b**5.
3*b**3*(b - 1)*(b + 1)
Factor 2*w**2 + w**3 - 2*w - 2*w**2 - 4*w**2 - 3*w**3.
-2*w*(w + 1)**2
Suppose 5*o - 16 = -2*a, -5*a - 4*o - 6 = -29. Suppose -2*d - 1 = 5*r, -3*d - 4*r + a = 1. Let -2 - 3*i**3 + d + i**3 = 0. What is i?
0
Let p be -5*(-4 + 95/25). Let r be (p/(-3))/(6/(-36)). Find h, given that 0*h - 2/9*h**r + 0 = 0.
0
Let q(w) = -w**3 - w**2 + w. Let o be q(0). Determine d, given that -d + d**3 + o*d + 0*d**3 = 0.
-1, 0, 1
Let k(d) be the third derivative of -d**8/6720 + d**7/420 - d**6/60 + d**5/20 + 4*d**2. Let x(b) be the third derivative of k(b). Factor x(s).
-3*(s - 2)**2
Suppose 0 = 3*n + 2*z, z = 4*n - 4*z - 23. Suppose -5 + 11 - 3*c + 6*c - 5*c**n - 3*c**3 - c**2 = 0. Calculate c.
-2, -1, 1
Let o(n) be the first derivative of -3*n**5/35 - 3*n**4/14 + n**3/7 + 3*n**2/7 - 1. Factor o(p).
-3*p*(p - 1)*(p + 1)*(p + 2)/7
Determine m so that 76*m**2 + 66*m**2 - 138*m**2 + 32 - 24*m = 0.
2, 4
Let a = -114 - -118. Let c(h) be the second derivative of -1/9*h**2 + 0 + 0*h**3 + 1/54*h**a - 3*h. Factor c(k).
2*(k - 1)*(k + 1)/9
Let d(v) = v**3 + 43*v**2 + 83*v + 41. Let g be d(-41). Solve -x**4 + x**2 + 2/5*x**3 - 2/5*x + g = 0.
-1, 0, 2/5, 1
Factor -5*v**5 - v + 8 - 10*v**2 - 3*v + 4*v**4 + 6*v**5 + 0*v + v**3.
(v - 1)**2*(v + 2)**3
Find u such that 4/7 + 0*u**2 - 2/7*u**3 + 6/7*u = 0.
-1, 2
Suppose 0 = 2*n - 4. Determine h so that -13*h - 7*h**n + 8*h + 2 + 0 = 0.
-1, 2/7
Let 3*t**3 - t**5 + 32*t**2 - 36*t + 32*t**4 - 3*t**5 - 91*t**3 + 64*t**2 = 0. Calculate t.
0, 1, 3
Let x(i) = -i**3 - 8*i**2 - 8*i - 3. Let r be x(-7). Let z(a) be the second derivative of -2/3*a**2 + 2/9*a**3 + 2*a + 0 - 1/36*a**r. Factor z(o).
-(o - 2)**2/3
Find d such that 1/9 + 1/9*d**2 + 2/9*d = 0.
-1
Let n(y) be the first derivative of -y**4/14 + 2*y**3/21 + 2*y**2/7 - 2. Solve n(f) = 0.
-1, 0, 2
Let k be (-6 - -4) + (-27)/(-12). Let p(x) be the first derivative of -k*x**2 + 0*x**3 + 0*x + 2 + 1/8*x**4. Factor p(g).
g*(g - 1)*(g + 1)/2
Let d(m) = 3*m + 23 - 7 - 4*m. Let s be d(8). Factor 2 - s*k**2 + 5*k**3 + 2*k**3 - 3*k**3 + 6*k**4 - 4*k.
2*(k - 1)*(k + 1)**2*(3*k - 1)
Let k = -1/21 - -8/21. Let s(i) be the first derivative of 1/2*i**2 + 1 + 1/12*i**4 + 1/3*i + k*i**3. Solve s(f) = 0.
-1
Let o(g) be the third derivative of g**7/105 - 13*g**6/300 + 3*g**5/50 + g**4/60 - 2*g**3/15 + 3*g**2. Factor o(p).
2*(p - 1)**3*(5*p + 2)/5
Determine g, given that 0*g**2 + 0 - 2/9*g**5 + 2/9*g**3 + 0*g**4 + 0*g = 0.
-1, 0, 1
Suppose s + 0*s - 11 = 0. Let n = 11 - s. Suppose n*j**2 + 1/4*j - 3/4*j**5 - 2*j**4 + 0 - 3/2*j**3 = 0. Calculate j.
-1, 0, 1/3
Let p(g) = g**2 - 4*g + 4. Let s be p(4). Let h(w) = 2*w**2 - w. Let r be h(-1). Find z such that s*z + 2 + 3*z**2 + 2*z**r - 4*z**2 - z**2 - 6*z**3 = 0.
-1, -1/2, 1
Let x(u) be the third derivative of 0*u + 0*u**3 - 7*u**2 - 1/270*u**5 + 0*u**4 + 0. Factor x(l).
-2*l**2/9
Factor 2*a**5 + 192*a + 3*a**3 + 11*a**3 - 146*a**2 + 18*a**4 - 8*a**3 - 72.
2*(a - 1)**3*(a + 6)**2
Let q(l) be the third derivative of 0*l - 1/240*l**5 + 1/1344*l**8 - 1/480*l**6 + 0 + 1/840*l**7 + 0*l**4 + 0*l**3 - 3*l**2. Factor q(p).
p**2*(p - 1)*(p + 1)**2/4
Let r(i) be the third derivative of i**5/90 + i**4/36 + i**2. Suppose r(g) = 0. Calculate g.
-1, 0
Let u(c) = -c**3 + 7*c**2 + 7*c + 8. Let k be u(8). Let n be 4/(-14) + (-212)/(-56). Determine s, given that k - 9/2*s**3 + 0*s + n*s**4 + s**2 = 0.
0, 2/7, 1
Suppose 0 - 5/2*n**2 - 2*n**3 - 1/2*n**4 - n =