 - 1/4*a**3. Suppose t(b) = 0. What is b?
-1, 1
Let z(a) = 7*a**3 - 10*a**2 - a - 2. Let g(t) = -4*t**3 + 5*t**3 + 2*t + 11*t**2 - 2*t**3 + 2 - 7*t**3. Let f(w) = 6*g(w) + 7*z(w). Factor f(o).
(o - 2)*(o - 1)**2
Let g be (-1)/((-5)/(-10)) - -5. Let a(f) be the first derivative of -2/3*f**g + 7/4*f**4 + 3 + 2*f - 7/2*f**2. Factor a(z).
(z - 1)*(z + 1)*(7*z - 2)
Let o(x) be the second derivative of 0 - 17/50*x**5 + 0*x**2 - 6*x - 4/15*x**3 + 1/15*x**6 + 8/15*x**4. Let o(h) = 0. Calculate h.
0, 2/5, 1, 2
Let w(j) = 4*j**4 - 21*j**3 - 73*j**2 - 112*j - 39. Let v(p) = -p**4 + p**3 - p**2 - 2. Let l(s) = 15*v(s) + 3*w(s). Factor l(i).
-3*(i + 1)**2*(i + 7)**2
Let r(b) = 6*b - 195. Let v be r(33). Factor -j - 2*j**2 + 1/3 + 8/3*j**v.
(j - 1)*(2*j + 1)*(4*j - 1)/3
Let b be ((-12)/(-40))/((-24)/(-5420)). Let l = b - 67. Determine x so that -1/4 - 3/2*x**3 + 1/2*x**2 - 1/4*x**4 + 3/4*x + l*x**5 = 0.
-1, 1/3, 1
Let t(q) = -q. Let a(w) = 358*w - 3 + w**2 - 354*w + 1. Let k(y) = y**3 + 3*y**2 - 5*y - 6. Let r be k(-4). Let f(z) = r*a(z) - 6*t(z). Factor f(i).
-2*(i - 1)*(i + 2)
Let k = -147/5 - -30. Factor 0 - 3/5*o**4 - 6/5*o**3 - k*o**2 + 0*o.
-3*o**2*(o + 1)**2/5
Let g(r) be the third derivative of -r**6/40 - r**5/20 - 37*r**2. Let g(n) = 0. What is n?
-1, 0
Let c be 215/(-7) - 10/35. Let r = -61/2 - c. Factor 0 - r*p**2 + 1/2*p.
-p*(p - 1)/2
Let i(l) = 0*l + 6 - 2 + 2*l**2 - l - l**2. Let n be i(0). Solve 16*b**n + 2 - 6 + 6*b**2 + 7*b + b + 2 - 28*b**3 = 0 for b.
-1/2, 1/4, 1
Solve -17*l + 15*l**2 + 5*l**4 + 12*l + 0*l**4 - 15*l**3 = 0.
0, 1
Solve 0 + 0*p + 0*p**3 + 2/7*p**4 - 2/7*p**2 = 0.
-1, 0, 1
Let i(j) be the second derivative of -2*j + 0 + 0*j**2 + 1/75*j**6 + 1/10*j**4 - 1/15*j**3 - 3/50*j**5. What is z in i(z) = 0?
0, 1
Suppose 0*d - 2*d + 8 = 0. Let m be (2 + -2 + 2)*1. Let m*r**2 - 4*r - r**2 + 2*r - 3 + d = 0. Calculate r.
1
Suppose -2*j - g + 5 = 1, 0 = -5*j - 3*g + 12. Let b be 1 + (1 + 2)/3. Solve 0*p + 0*p**3 + j + 2/5*p**4 - 2/5*p**b = 0.
-1, 0, 1
Suppose -8*n = n - 27. Factor -44/7*a**2 - 8/7*a - 4*a**4 + 0 - 64/7*a**n.
-4*a*(a + 1)**2*(7*a + 2)/7
Factor -6 + 9*t**2 - t**2 + 3*t**2 - 9*t + 4*t**2.
3*(t - 1)*(5*t + 2)
Let f(v) be the third derivative of 13*v**6/600 + v**5/100 - 2*v**3/3 - 8*v**2. Let s(r) be the first derivative of f(r). Factor s(c).
3*c*(13*c + 2)/5
Let j(m) be the third derivative of 0 + 1/64*m**4 + 0*m**5 + 0*m - m**2 - 1/320*m**6 + 0*m**3. Factor j(s).
-3*s*(s - 1)*(s + 1)/8
Let a be 12/18 + (-32)/(-6). Suppose 2*v = k + a, -3*k + 2 = -0*k - v. What is t in -11*t**2 + 4*t**3 - 2*t**4 - 2*t**5 + 2 - 2*t + 4*t**4 + 7*t**k = 0?
-1, 1
Let t(z) = 3*z**2 - 4*z - 2. Let f(o) = 17*o - 4*o + 12*o + 13 - 19*o**2. Let s(c) = 6*f(c) + 39*t(c). Factor s(w).
3*w*(w - 2)
Let c(f) = f**3 - 8*f**2 + 7*f + 2. Let z be 6/4*28/6. Let g be c(z). Factor -6/5*h + 4/5 + 2/5*h**g.
2*(h - 2)*(h - 1)/5
Suppose -5*m - 4*w + 13 = -7*w, 2*m = 2*w + 6. Factor 0*i - 2/5*i**3 + 0 - 4/5*i**m + 2/5*i**4.
2*i**2*(i - 2)*(i + 1)/5
Suppose 0*c**2 + 2*c**2 - 2 + 0*c**2 = 0. Calculate c.
-1, 1
Let g(r) be the second derivative of r**9/10584 + r**8/5880 - r**7/2940 - r**6/1260 - r**3/3 - 4*r. Let k(x) be the second derivative of g(x). Solve k(b) = 0.
-1, 0, 1
Let w(h) = -6*h**4 + 3*h**2 + 7*h + 5. Suppose 3*u - 6*u - 15 = 0. Let c(t) = 7*t**4 - 3*t**2 - 8*t - 6. Let b(d) = u*c(d) - 6*w(d). Factor b(p).
p*(p - 2)*(p + 1)**2
Let x = 46 - 41. Let k(i) be the first derivative of 0*i + 8/3*i**3 + 8/5*i**x - 1/3*i**6 - i**2 - 1 - 3*i**4. What is w in k(w) = 0?
0, 1
Let n(h) = -2*h. Let b be n(-1). Find c such that -c - c**b + 7 - 7 = 0.
-1, 0
Let h = 141/518 - -1/74. Suppose 2/7*w**3 + 0 + 0*w + h*w**2 = 0. Calculate w.
-1, 0
Let z(c) be the second derivative of c**6/135 - c**4/18 + 2*c**3/27 + 7*c. Factor z(a).
2*a*(a - 1)**2*(a + 2)/9
Solve 8 + 36*s**2 - 8*s**2 + 11*s + 25*s = 0.
-1, -2/7
Let x = 2433/7 - 347. Factor 0 + 0*n - 2/7*n**2 - x*n**3.
-2*n**2*(2*n + 1)/7
Suppose t - 4 = 3*t. Let x(n) = n**2 + n. Let v be x(t). Solve -16/9 + 2/9*w**3 + 8/3*w - 4/3*w**v = 0.
2
Let a(h) be the second derivative of h**10/4032 - h**9/3360 - h**8/2240 + h**4/6 - 5*h. Let s(d) be the third derivative of a(d). Solve s(t) = 0 for t.
-2/5, 0, 1
Let v(l) = l**3 - l + 1. Let d = 0 - -1. Let b = 6 + -2. Let g(s) = -2*s**3 - 4*s**2 + 6*s - 4. Let h(j) = b*v(j) + d*g(j). Suppose h(u) = 0. What is u?
0, 1
Suppose 0 = -p + 2*v - v + 2, -4*v = 3*p - 13. Suppose 0 = -5*c + 2*f, 3*f = -0*c - c + 17. Solve -7/4*o**c + p*o + 1 = 0.
-2/7, 2
Let l(j) be the second derivative of 2*j**5/5 + 5*j**4/6 + j**3/3 - 7*j. Determine h so that l(h) = 0.
-1, -1/4, 0
Let a(k) be the second derivative of 1/18*k**4 + 0*k**2 + 0 - k - 2/9*k**3. Factor a(p).
2*p*(p - 2)/3
Let a(l) be the first derivative of -l**4/2 - 13*l**3/6 - 11*l**2/4 - l - 8. Factor a(w).
-(w + 1)*(w + 2)*(4*w + 1)/2
Let i be 26/4 + -7*12/42. Suppose 1/2*m**3 - 11/2*m**4 - 3*m**5 - 1 + 1/2*m + i*m**2 = 0. Calculate m.
-1, 1/2, 2/3
Find g, given that g - g**2 + 4*g**2 - 3*g**2 - g**2 + 2 = 0.
-1, 2
Let r(f) = -f**2 - f + 1. Let u(c) = 2*c**3 - 5*c**2 - 5*c + 5. Let h(y) = -5*r(y) + u(y). Suppose h(n) = 0. Calculate n.
0
Let v(o) be the third derivative of o**6/30 - o**5/5 + o**4/2 - 2*o**3/3 + 3*o**2. Factor v(f).
4*(f - 1)**3
Let t(s) = 3*s**2 - 1. Suppose 5*r - 6 = -r. Let x be t(r). Solve 4/3 - x*c + 2/3*c**2 = 0 for c.
1, 2
Let r = 38 - 227/6. Suppose 3*d + 10 = 4*d + 2*c, 4*d - c - 13 = 0. What is g in 1/6*g**d + 0 + 0*g + 1/3*g**3 + r*g**2 = 0?
-1, 0
Suppose -4*i - 5*p = -15, 5*i + 2 = -5*p + 17. Suppose f**2 + i*f - 3/2*f**3 + 1/2*f**4 + 0 = 0. Calculate f.
0, 1, 2
Let z(x) be the first derivative of 1/2*x**4 + 3/2*x**3 + 3/2*x**2 + 1/2*x - 3. Factor z(f).
(f + 1)**2*(4*f + 1)/2
Let f be -4 - (-2 + 12/(-3)). Let s be (-1)/(0 + -4*1). Determine t so that 0 - 1/4*t**3 - s*t + 1/2*t**f = 0.
0, 1
Let r(n) be the second derivative of 0*n**2 + 0 + 13/12*n**4 + 3*n + 1/3*n**3. Let r(w) = 0. Calculate w.
-2/13, 0
Let w(z) be the second derivative of z**7/2100 + z**6/300 + z**5/100 + z**4/60 - 5*z**3/6 + z. Let r(a) be the second derivative of w(a). Factor r(u).
2*(u + 1)**3/5
Let z be -2 - (-4 - (-2 - -1)). Let j = 93/37 - 1/74. Factor -9/2*a - z - j*a**3 - 6*a**2.
-(a + 1)**2*(5*a + 2)/2
Let i(h) be the third derivative of -1/12*h**4 + 0*h**3 + 0*h + 0 + 1/30*h**5 + 3*h**2. Solve i(p) = 0 for p.
0, 1
Let m(z) = 2*z**2 + 26*z + 76. Let b be m(-9). What is r in -1/2*r**b - 1/2*r**3 + 0 + 1/2*r + 1/2*r**2 = 0?
-1, 0, 1
Let l(q) be the first derivative of -q**3/18 - q**2/12 + q/3 - 5. Let l(z) = 0. What is z?
-2, 1
Suppose 0*p - 4*p = -40. Suppose p = 4*h + 2. Determine d so that -h - 6*d**5 - 14*d - 31*d**2 + 0 - 5*d**2 - 44*d**3 - 26*d**4 = 0.
-1, -1/3
Let o(q) = -3*q**3 - 4*q + 4. Let g(l) = 16*l**3 + l**2 + 21*l - 21. Let t(p) = -2*g(p) - 11*o(p). Let c be t(2). Factor 0 + 1/2*y**3 - y - 1/2*y**c.
y*(y - 2)*(y + 1)/2
Let w(v) be the third derivative of -v**5/90 + v**4/36 + 2*v**3/9 + 5*v**2. Factor w(g).
-2*(g - 2)*(g + 1)/3
What is p in -16*p**2 + 52*p**3 - 4*p**5 - 8*p**5 - 100*p**3 - 44*p**4 = 0?
-2, -1, -2/3, 0
Suppose 78*j + 8 = 82*j. Factor -2/9*y**3 + 2/3*y + 0*y**j - 4/9.
-2*(y - 1)**2*(y + 2)/9
Suppose -2*f = -0*f. Let u(k) = -k**2 + 3. Let p be u(f). Suppose o**4 + 2*o**p + 6*o**2 - 2 - 2 - 3*o**4 - 2*o = 0. What is o?
-1, 1, 2
Let -12*f + f**2 - 91*f**4 + 23*f**2 - 15*f**3 + 94*f**4 = 0. What is f?
0, 1, 2
Let o be 33/42 - 10/35. Let c(y) be the first derivative of 0*y**3 - 1 + 0*y + 0*y**5 - o*y**2 + 1/2*y**4 - 1/6*y**6. Factor c(v).
-v*(v - 1)**2*(v + 1)**2
Let f(o) be the third derivative of -2*o**6/135 + o**5/135 - 8*o**2. Factor f(j).
-4*j**2*(4*j - 1)/9
Suppose -15 = -5*g + 20. Solve l**2 - 4*l - 6*l**3 - 4*l**2 + g*l + 0*l**2 = 0.
-1, 0, 1/2
Let 0 - 46/13*a**3 - 8/13*a + 14/13*a**4 + 40/13*a**2 = 0. What is a?
0, 2/7, 1, 2
Let x be (8/(-10))/((-2)/10). Let w be x/1 - (-10)/(-5). Factor l**4 - 3*l**w + 3*l**2.
l**4
Let z(t) be the first derivative of 1/6*t**4 - 1/15*t**5 + 0*t**2 - 8 + 0*t + 1/3*t**3. Factor z(l).
-l**2*(l - 3)*(l + 1)/3
Let l = 5 + -2. Solve -6*j + 0*j**2 + 2*j**l + 3*j**2 + j**3 = 0.
-2, 0, 1
Let m be 6 + 0/(-3)*1. Let z be 4*(3 - 15/m). Find u such that -2/5*u**z + 2/5 + 0*u = 0.
-1, 1
Let y(