*2 + 5*g + 25. Let w(m) = -25*c(m) - r(m). Let w(a) = 0. Calculate a.
-4, 0
Suppose -5*m + 0*w - 2*w + 67 = 0, -2*m = w - 26. Suppose -7*a + m = -13. Solve 3/5*r**a - 3/5 + 0*r**2 + 6/5*r - 6/5*r**3 = 0 for r.
-1, 1
Let y(u) = -6*u**4 + 2*u**3 + 4*u. Let z(g) = g**4 - g**3 - g. Let x(v) = y(v) + 4*z(v). Suppose x(b) = 0. What is b?
-1, 0
Suppose 8*c = 17*c. Solve 1/4*f - 1/4*f**2 + c = 0 for f.
0, 1
Let 4*m**2 + 4*m**3 + 99 - 99 = 0. Calculate m.
-1, 0
Factor -2/3*i**2 - 1/3*i**5 + 0 + 0*i**3 + 1/3*i + 2/3*i**4.
-i*(i - 1)**3*(i + 1)/3
Suppose -2/5*l**4 + 12/5*l**3 + 0 + 0*l - 2*l**2 = 0. Calculate l.
0, 1, 5
Let d(b) be the third derivative of -b**7/630 + b**5/180 + 9*b**2. Let d(q) = 0. Calculate q.
-1, 0, 1
Let r(a) be the third derivative of -a**8/672 + a**7/84 - 7*a**6/240 + a**5/40 + 10*a**2. Factor r(q).
-q**2*(q - 3)*(q - 1)**2/2
Let r be (-6)/(-9)*(-12)/(-4). Let v(p) be the first derivative of -10/7*p**3 + 1 - 4/7*p**r + 8/7*p. Suppose v(a) = 0. Calculate a.
-2/3, 2/5
Let p be (8/20)/(8/10). Let g(f) be the first derivative of f**2 - 4/3*f**3 + 3 - p*f**4 + 4/5*f**5 + 0*f. Factor g(q).
2*q*(q - 1)*(q + 1)*(2*q - 1)
Suppose 2*a + 20 = 12*a. Determine m, given that 1/5*m**a + 1/5*m + 0 = 0.
-1, 0
Suppose -s + 2*s - 3 = 0. Factor -11*q + 5*q**5 + 2*q - 10*q**2 + 6*q**s + 0*q**4 - 2 + 12*q**4 - 2*q**3.
(q - 1)*(q + 1)**3*(5*q + 2)
Let d = -5 - -27/5. Factor 2/5*n**2 + 2/5*n - d - 2/5*n**3.
-2*(n - 1)**2*(n + 1)/5
Factor 1/2*b - 7/4*b**2 + 0 + 7/4*b**3 - 1/2*b**4.
-b*(b - 2)*(b - 1)*(2*b - 1)/4
Let a(t) be the third derivative of -t**8/20160 + t**7/5040 - t**5/12 - 2*t**2. Let m(c) be the third derivative of a(c). Factor m(y).
-y*(y - 1)
Let q(p) = -4*p**2 + 9*p - 11. Let l(u) = 8*u**2 - 19*u + 21. Let z(k) = 3*l(k) + 5*q(k). Factor z(w).
4*(w - 2)*(w - 1)
Let y(v) be the first derivative of v**6/40 + v**5/10 + v**4/8 + 3*v**2 - 8. Let s(j) be the second derivative of y(j). Factor s(r).
3*r*(r + 1)**2
Solve 60/11*w**2 + 4/11 - 64/11*w**3 - 6/11*w**5 - 26/11*w + 32/11*w**4 = 0 for w.
1/3, 1, 2
Let t(w) be the first derivative of -w**4/22 - 4*w**3/33 + w**2/11 + 4*w/11 + 35. Factor t(m).
-2*(m - 1)*(m + 1)*(m + 2)/11
Let j(a) be the second derivative of 2/21*a**4 + 1/21*a**7 - 1/5*a**5 - 4*a + 1/3*a**3 + 0 - 2/7*a**2 - 2/105*a**6. Find n such that j(n) = 0.
-1, 2/7, 1
Let c(a) be the second derivative of -1/240*a**5 - 1/480*a**6 + 0*a**3 - a**2 + 0 - 2*a + 0*a**4. Let f(s) be the first derivative of c(s). Factor f(b).
-b**2*(b + 1)/4
Let l(s) be the second derivative of s**6/30 + s**5/20 - 16*s. Factor l(u).
u**3*(u + 1)
Factor 0 + 1/2*k**3 + k - 3/2*k**2.
k*(k - 2)*(k - 1)/2
Suppose 8*c - 7*c = 3. Let g(w) be the second derivative of 1/20*w**5 + 0*w**2 + 0 - w - 1/12*w**4 - 1/6*w**c + 1/30*w**6. Determine i so that g(i) = 0.
-1, 0, 1
Let a = -37846631/29280812 + -2/155749. Let l = -2/47 - a. Factor -1/4*d + 1/4 + 2*d**4 + d**5 + 1/4*d**3 - l*d**2.
(d + 1)**3*(2*d - 1)**2/4
Let h = -2/15 + 4/5. Let k(c) = -c - 3. Let v be k(-6). Suppose 2*d**2 + 2*d + h + 2/3*d**v = 0. What is d?
-1
Let y(f) be the second derivative of 1/30*f**4 - 2*f + 0*f**3 + 0 - 1/5*f**2. Factor y(o).
2*(o - 1)*(o + 1)/5
Let v(t) be the second derivative of -t**7/140 - t**6/36 + t**5/15 + t**4/3 + 5*t**3/6 - 3*t. Let y(x) be the second derivative of v(x). Factor y(k).
-2*(k - 1)*(k + 2)*(3*k + 2)
Let i(d) = d**5 - d**4 - d**3 + d**2 + d - 1. Let o(n) = 4*n**3 - 4*n**2. Let w(v) = 4*i(v) - o(v). Factor w(x).
4*(x - 1)**3*(x + 1)**2
Factor -1/2*v**3 - 1/4*v**4 + 3/4*v**2 + 0 + 0*v.
-v**2*(v - 1)*(v + 3)/4
Let j(a) be the second derivative of 1/18*a**4 + 2/9*a**3 - 6*a + 1/3*a**2 + 0. Factor j(u).
2*(u + 1)**2/3
Let p = -104/15 + 22/3. Let u be -1 + 0 - (-7)/5. Factor -u*o**2 + p*o + 4/5.
-2*(o - 2)*(o + 1)/5
Let -4*v + 1 - 6 + 2 + 4*v**2 - 5 = 0. What is v?
-1, 2
Suppose s - 5*s - 12 = 0. Let n be 0/(s + 10/2). Let 0 + 1/3*x**2 + n*x**3 - 1/3*x**4 + 0*x = 0. What is x?
-1, 0, 1
Let u(h) be the third derivative of h**6/1440 + h**5/80 + 3*h**4/32 - h**3/2 + h**2. Let g(j) be the first derivative of u(j). Factor g(f).
(f + 3)**2/4
Let g be 2/(-1)*(0 - 1). Let d(t) = -t**3 + 2*t**2 + t + 1. Let h be d(g). Suppose -2/7*n**2 + 0 + 2/7*n**4 + 0*n + 0*n**h = 0. What is n?
-1, 0, 1
Suppose -2/5*t + 1/5*t**2 - 3/5 = 0. What is t?
-1, 3
Suppose 0*t - 3*c - 143 = -t, -3*t + 453 = 3*c. Let m = t + -443/3. Find s such that -2*s + m - 4/3*s**2 = 0.
-2, 1/2
Let v = -4 + 7. Suppose 7 - v = 4*u. Let -u - 2*g**4 + 1 = 0. Calculate g.
0
Let a = 5/9 + -2/9. Factor 1/3*p**2 - a*p**4 + 0 + 2/3*p**3 - 2/3*p.
-p*(p - 2)*(p - 1)*(p + 1)/3
Let x(c) be the first derivative of -1 - 1/10*c**5 - 1/30*c**6 + 0*c**4 - 2*c + 1/3*c**3 + 1/2*c**2. Let m(k) be the first derivative of x(k). Factor m(i).
-(i - 1)*(i + 1)**3
Suppose q = 2*q - 8. Let f be 85/20 + (-2)/q. What is p in 2/3*p - 4/3 + 2/3*p**5 - 4/3*p**f + 8/3*p**2 - 4/3*p**3 = 0?
-1, 1, 2
Let l(a) = -a**2 + a - 1. Let i(g) = 24*g - 9 - 6*g**2 + 0*g**2 - 6*g**2. Suppose -4 = 2*n, y - 3*n - 18 = 3. Let b(r) = y*l(r) - i(r). Factor b(d).
-3*(d + 1)*(d + 2)
Let n(z) = z**5 - 8*z**4 + z**3 - 6*z**2 - 4. Let q(c) = -c**4 - c**3 - c**2 - 1. Let b(a) = n(a) - 4*q(a). Factor b(u).
u**2*(u - 2)*(u - 1)**2
Let -7/3*u + u**3 + 2/3*u**2 + 2/3 = 0. Calculate u.
-2, 1/3, 1
Let l(w) be the first derivative of -w**6/2 - 3*w**5/5 + 6. Factor l(o).
-3*o**4*(o + 1)
Let l(r) = 1. Let f(g) = -2*g**2 - g - 9. Let s(t) = f(t) + 6*l(t). Let b(m) = -2*m**2 - 2*m - 4. Let i(k) = 3*b(k) - 4*s(k). Solve i(p) = 0 for p.
0, 1
Let o(m) = m + 6. Let p be o(-4). Factor -4*h + 2*h**2 - 7*h**2 + h**2 + 2*h**p.
-2*h*(h + 2)
Let r(p) be the second derivative of -p**7/273 - 4*p**6/195 - 3*p**5/65 - 2*p**4/39 - p**3/39 - 8*p. Factor r(f).
-2*f*(f + 1)**4/13
Let n be 2/5 + (-10)/25. Solve -12*z - 75*z**5 + 4*z**3 + n*z**3 + 29*z**3 - 36*z**2 + 90*z**4 = 0 for z.
-2/5, 0, 1
Let s(g) = 21*g**3 - 87*g**2 + 50*g - 5. Let c(j) = 22*j**3 - 88*j**2 + 50*j - 4. Let u(q) = -3*c(q) + 4*s(q). What is m in u(m) = 0?
1/3, 4
Suppose 4 - 6 = -l. Factor -2*f**2 - 2*f - f**3 + f + 0*f**l + 0*f.
-f*(f + 1)**2
Suppose 3*n - 4*a - 18 = 10, -2*n = 2*a - 42. Suppose -n = -2*h + 24. Solve 7*m**2 - h*m**3 - 10*m - 21*m**2 - 6*m**2 - 2*m**5 - 10*m**4 - 2 = 0 for m.
-1
Let j be 7/231*(-603)/(-12). Let o = j + -14/11. Factor -o*r**2 - 1/4*r**4 + 1/2*r**3 + 0*r + 0.
-r**2*(r - 1)**2/4
Suppose -3*c = c + 8. Let o be (c/(-1))/(8/12). Determine k, given that k**3 - 1 + k**3 - k**4 - k**5 - k + 2*k**2 + 0*k**o = 0.
-1, 1
Let -4*l**2 + 26*l**4 + 9*l**3 + l**4 - 24 - 74*l**2 - 84*l = 0. What is l?
-1, -2/3, 2
Suppose -2*f = 2*f. Suppose -2*k + i = -f - 1, -4*k + 5*i - 13 = 0. Factor 0*p**3 + 3*p**k - p - 3*p**2 + 2*p - p**4.
-p*(p - 1)**3
Let f(k) = 2*k**2 + 15*k - 8. Let s be f(-8). Let w(v) be the second derivative of -1/12*v**4 - v - 1/2*v**2 - 1/3*v**3 + s. Solve w(x) = 0.
-1
Let r(z) be the first derivative of z**3/12 - 5*z**2/4 + 25*z/4 - 13. Solve r(s) = 0 for s.
5
Determine i, given that -8/3 - 86/3*i**2 + 16*i - 14/3*i**4 + 20*i**3 = 0.
2/7, 1, 2
Let x be 3*(-4)/(-12) + 1. Suppose 0*g = x*g. Suppose -2/5*p + 4/5*p**2 + g = 0. Calculate p.
0, 1/2
Let d(o) be the first derivative of -o**4 - 4*o**3/3 - 32. Find h, given that d(h) = 0.
-1, 0
Let k(f) = -2*f**5 + 14*f**4 - 4*f**3 - 2*f**2 - 6*f - 6. Let p(r) = -r**5 + 14*r**4 - 4*r**3 - 2*r**2 - 7*r - 7. Let m(c) = -7*k(c) + 6*p(c). Factor m(z).
2*z**2*(z - 1)**2*(4*z + 1)
Suppose -1/5*d**3 + 4/5 + 6/5*d**2 - 9/5*d = 0. What is d?
1, 4
Find n such that 2/7*n**4 + 8/7*n**3 + 0*n**2 + 0 + 0*n = 0.
-4, 0
Let x be (80/(-30))/(20/(-12)). Factor 0 - x*t + 8/5*t**2 - 2/5*t**3.
-2*t*(t - 2)**2/5
Suppose -2*c = -3*q + 8*q - 3, 6 = c - 2*q. Find j, given that 8*j**3 + 3*j**4 - 3*j**4 - 4*j**5 + 4*j**c = 0.
-1, 0, 2
Let c = 19176723/11 - 115347896104/66165. Let o = c + -2/1203. Factor 0*b - o*b**3 - 2/5*b**2 + 0.
-b**2*(7*b + 2)/5
Let g be -2*(-4)/(-8)*-2. Let q(p) be the second derivative of 0*p**3 + 0 + 2*p + 0*p**4 - 1/40*p**5 + 0*p**g - 1/40*p**6. Factor q(a).
-a**3*(3*a + 2)/4
Let f(u) be the third derivative of u**6/24 - u**5/15 - u**4/24 - 2*u**2. Find t such that f(t) = 0.
-1/5, 0, 1
Let i(q) = -q - 4. Let y be i(-6). Determine x, given that 0 + 4 + 3*x**y - 7 = 0.
