u**2 + 0 - 1/6*u**4. Suppose k(y) = 0. What is y?
-2, -1, 0, 1
Suppose 3*l - 7*l = 0. Let y(c) be the third derivative of -1/12*c**4 + 0 + l*c**3 + 0*c**5 + c**2 + 1/60*c**6 + 0*c. Factor y(f).
2*f*(f - 1)*(f + 1)
Solve 50/3 + 2/3*m**2 - 20/3*m = 0 for m.
5
Factor -7/4*w**3 + 1/2*w**2 + 0*w + 0.
-w**2*(7*w - 2)/4
Let b(p) = -p**3 - 9*p**2 - p - 4. Let v be b(-9). Suppose -4*m + v = -3. Factor 2/3*g**3 - 2/3*g - 2/3*g**m + 0 + 2/3*g**4.
2*g*(g - 1)*(g + 1)**2/3
Let c = -14 - -17. Suppose 0 = -c*a + 12, 8 = -3*t + a + a. Suppose 1/2*n**4 + 0*n - 1/2*n**3 + 0*n**2 + t = 0. What is n?
0, 1
Let v(q) = q**2 + 6*q - 3. Let c be v(-7). Suppose -c*p = -5*p. Solve 3/4*l**3 + 1/4*l**5 + p + 1/4*l**2 + 3/4*l**4 + 0*l = 0.
-1, 0
Let r(n) be the second derivative of -n**6/255 + n**5/170 + n**4/102 - n**3/51 + 46*n. Factor r(d).
-2*d*(d - 1)**2*(d + 1)/17
Factor 2*a**3 + 5*a**5 + 2*a**4 - 4*a**4 + 9*a**4.
a**3*(a + 1)*(5*a + 2)
Let s(b) = b**5 - b**4 + b**3 - b**2 + 1. Let z(p) = 6*p**4 - 10*p**3 + 6*p**2 - 2*p + 2. Let j(i) = 2*s(i) - z(i). Solve j(f) = 0 for f.
0, 1
Let q(m) = -12*m**2 + 2*m**3 - 12*m - 3*m**3 + 12 - 7*m**3. Let g(h) = h**3 + h**2 + h - 1. Let x(a) = -10*g(a) - q(a). Factor x(o).
-2*(o - 1)**2*(o + 1)
Let u(w) be the first derivative of w**5/3 + 5*w**4/3 + 10*w**3/9 - 10*w**2/3 - 5*w + 37. Factor u(x).
5*(x - 1)*(x + 1)**2*(x + 3)/3
Suppose -4*g - 5 - 3 = -4*i, 2*g + 4 = 3*i. Let b be 0 - -2 - (0 + i). Determine p, given that 0*p - 4*p**4 - 4*p - b + 4*p**3 + 6*p**4 = 0.
-1, 1
Let r(n) be the third derivative of n**5/360 - n**4/48 - n**3/9 + 4*n**2. Solve r(z) = 0.
-1, 4
Solve 0 + 0*m**3 - 2/5*m**5 - 4/5*m**4 + 2/5*m + 4/5*m**2 = 0 for m.
-1, 0, 1
Let z(l) be the third derivative of l**7/140 - 7*l**6/240 + l**5/40 - l**4/24 - 3*l**2. Let i(s) be the second derivative of z(s). Find y, given that i(y) = 0.
1/6, 1
Let s(v) be the third derivative of v**8/3360 - v**6/360 - v**4/6 - 4*v**2. Let q(p) be the second derivative of s(p). Factor q(o).
2*o*(o - 1)*(o + 1)
Let f(i) be the first derivative of 9*i**4/16 + 5*i**3/4 + 3*i**2/8 - 3*i/4 + 33. Factor f(s).
3*(s + 1)**2*(3*s - 1)/4
Suppose 4*t + 3 + 1 = 4*a, t = 4*a - 13. Suppose 2*b = t*b - 2. Determine z, given that 2/9*z**3 + 4/9*z**4 + 0 + 0*z**b + 0*z + 2/9*z**5 = 0.
-1, 0
Let l(i) be the first derivative of 2*i**7/21 + i**6/15 - 3*i**5/10 - i**4/6 + i**3/3 - 2*i - 1. Let m(d) be the first derivative of l(d). Solve m(r) = 0.
-1, 0, 1/2, 1
Suppose -4*x = 2*g + 16, 0*x = -g - x - 3. Let i be g + 1 - (-2)/(-2). Suppose 0*c + 0*c**i + 2/5*c**4 + 0 + 0*c**3 = 0. Calculate c.
0
What is n in 5/2 - 35/2*n + 45*n**2 - 15/2*n**5 + 65/2*n**4 - 55*n**3 = 0?
1/3, 1
Let g(o) = -o**2 + 0*o**3 - 3*o**3 + 4*o**3. Let q(a) = 5*a**3 - 3*a**2 + a. Let d(t) = -9*g(t) + 2*q(t). Factor d(w).
w*(w + 1)*(w + 2)
Let j(h) = h**3 - 8*h**2 - 10*h + 13. Let s be j(9). Factor a + 3*a - s*a**3 + 2*a**4 - 1 - 1.
2*(a - 1)**3*(a + 1)
Let a(p) = -2*p**2 + 6. Let r(c) = -c**3 + c**2 - c - 4. Let o be r(0). Let f(u) = 5*u**2 - u - 17. Let d(k) = o*f(k) - 11*a(k). Determine g so that d(g) = 0.
-1
Let a be (-2)/(9/(-45) - (-138)/(-10)). Let f(h) be the second derivative of 0*h**3 + 1/42*h**4 + 0 + 2*h - a*h**2. Factor f(t).
2*(t - 1)*(t + 1)/7
Let v(r) be the first derivative of -r**6/21 + 2*r**5/35 + 13. Factor v(l).
-2*l**4*(l - 1)/7
Let v(k) be the second derivative of -k**7/2520 + k**5/360 - k**3/6 - 3*k. Let b(c) be the second derivative of v(c). Factor b(u).
-u*(u - 1)*(u + 1)/3
What is x in 22/15*x**3 - 6/5*x**2 + 2/15 - 8/15*x**4 + 2/15*x = 0?
-1/4, 1
Factor -2/9*m**4 - 2/9*m + 2/9*m**2 + 0 + 2/9*m**3.
-2*m*(m - 1)**2*(m + 1)/9
Suppose 2/11*h**3 + 0*h - 6/11*h**2 + 0 = 0. What is h?
0, 3
Let t(j) = -19*j**2. Let o(d) = -3*d**2. Let b(w) = 39*o(w) - 6*t(w). Factor b(k).
-3*k**2
Let h be (-5)/50*-66 - 8/80. Find l, given that 0 + 6*l**2 + 3*l**4 - h*l**3 - 1/2*l**5 - 2*l = 0.
0, 1, 2
Let f(v) be the first derivative of 5*v**6/6 - 17*v**5/2 + 25*v**4/2 + 185*v**3/3 + 25*v**2/2 - 125*v/2 + 34. Let f(y) = 0. Calculate y.
-1, 1/2, 5
Let o(u) be the first derivative of -5 + 1/3*u**2 + 2/9*u**3 - 1/6*u**4 + 0*u - 2/15*u**5. Determine i so that o(i) = 0.
-1, 0, 1
Suppose -8*r = -2*r - 24. Factor -o**3 - 9*o**3 + r*o - o**3 + 7*o**3.
-4*o*(o - 1)*(o + 1)
Let x = 18 + -88/5. Let m be (6/(-10))/((-6)/4). What is j in -m*j + 2/5*j**3 - x + 2/5*j**2 = 0?
-1, 1
Let a(d) = -d**5 - d - 2. Suppose z + 0 - 4 = 0. Let x = 12 + -18. Let r(k) = -k**5 + k**4 - k**2 - 2*k - 3. Let q(c) = x*a(c) + z*r(c). Factor q(m).
2*m*(m - 1)*(m + 1)**3
Let r = 13737 + -549391/40. Let w = 21/8 - r. Factor -4/5*t - 2/5 - w*t**2.
-2*(t + 1)**2/5
Determine c, given that 8/3*c**4 + 3*c + 22/3*c**3 + 1/3*c**5 + 8*c**2 + 0 = 0.
-3, -1, 0
Let x(z) = -2*z**4 - 10*z**3 - 14*z**2 - 4*z + 2. Let d(u) = 3*u**4 + 19*u**3 + 29*u**2 + 8*u - 5. Let c(f) = 2*d(f) + 5*x(f). Solve c(y) = 0.
-1, 0
Suppose -x = -1, 2*g + g - 10 = -4*x. Let 3*u**2 - 3*u**3 - 3*u**2 + u**2 + 6*u + g*u**2 = 0. Calculate u.
-1, 0, 2
Let v(l) = 2420*l**2 - 1745*l + 335. Let m(h) = -605*h**2 + 436*h - 84. Let p(g) = 15*m(g) + 4*v(g). What is s in p(s) = 0?
4/11
Factor -2*d**2 - 18*d + 37*d - 15*d - 2*d**3.
-2*d*(d - 1)*(d + 2)
Suppose m + 0*c = -2*c + 12, -3*c = -12. What is i in -4*i**4 - 5*i**5 - 5*i**m - 7*i**5 + 3*i**3 + 0*i**5 = 0?
-1, 0, 1/4
Let y(z) = 2*z**2 + 116*z - 118. Let c be y(-59). Suppose 4/7*v + c - 2/7*v**2 = 0. Calculate v.
0, 2
Let i(w) be the first derivative of w**6/24 + w**5/5 + 3*w**4/8 + w**3/3 + w**2/8 + 9. Let i(x) = 0. Calculate x.
-1, 0
Let m(s) be the second derivative of 3*s**5/160 + 5*s**4/32 + 7*s**3/16 + 9*s**2/16 + s. Let m(r) = 0. Calculate r.
-3, -1
Suppose 2*s - 5*m - 3 = 11, 4*s + 5*m + 32 = 0. Let o be -2 + (s/(-5) - -3). Let -8/5*d**2 - 2/5*d**4 + 0 + 0*d - o*d**3 = 0. Calculate d.
-2, 0
Let c(r) = -r**4 + r**3 + 1. Let d(a) = 3*a**5 + 3*a**4 - 9*a**3 + 3*a**2 - 6. Let n(o) = 6*c(o) + d(o). Find t such that n(t) = 0.
-1, 0, 1
Suppose -4*t + 8 = -4. Factor h**2 + 7*h**2 - 2*h + h**t - 2*h**3 - 5*h**2.
-h*(h - 2)*(h - 1)
Let a(z) be the first derivative of -2*z**3/51 - 3*z**2/17 - 4*z/17 + 20. Factor a(c).
-2*(c + 1)*(c + 2)/17
Let n(c) be the second derivative of c**8/2520 - c**7/630 + c**6/540 - 5*c**3/6 - 7*c. Let o(w) be the second derivative of n(w). Find g, given that o(g) = 0.
0, 1
Let w be (-2 - -1)*(-2 + 2). Suppose -32 = -4*l + 4*y, 2*y + w = -10. Solve 21*a**4 + 6*a**2 + 2*a - 15*a**2 - 7*a**4 + l*a**3 = 0 for a.
-1, 0, 2/7, 1/2
Let x(c) = c**4 + 4*c**3 - c**2. Let i(u) = -u**3. Let r(m) = -4*i(m) - x(m). Solve r(v) = 0.
-1, 0, 1
Let u(y) = y**3 + 3*y**2 - 4*y + 4. Let g be (-88)/66*3*1. Let k be u(g). Factor -6/5*o**2 + 4/5*o + 0*o**3 + 2/5*o**k + 0.
2*o*(o - 1)**2*(o + 2)/5
Let r(l) be the first derivative of l**8/840 - l**7/420 - l**3 + 2. Let t(q) be the third derivative of r(q). Factor t(g).
2*g**3*(g - 1)
Factor 0 + 9*p**2 + 0*p - 3/2*p**4 + 15/2*p**3.
-3*p**2*(p - 6)*(p + 1)/2
Let t(z) be the first derivative of z**6/21 + 4*z**5/35 + z**4/14 + 57. Factor t(x).
2*x**3*(x + 1)**2/7
Let v(h) be the first derivative of 1/6*h**4 - 3/2*h**2 - 3 - 2/3*h**3 + 0*h - 1/60*h**5. Let z(g) be the second derivative of v(g). Factor z(k).
-(k - 2)**2
Factor -1/4*m**2 + 0*m + 1/4.
-(m - 1)*(m + 1)/4
Let z(a) be the second derivative of -a**5/100 - a**4/30 + a**3/10 - 8*a. Let z(g) = 0. What is g?
-3, 0, 1
Let s(z) = -z**3 - 5*z**2 + 6*z + 7. Let q be s(-6). Let v be (-12)/q - (-5 - -3). Factor 0*o**2 + 0*o - 2/7*o**5 + 0 + 0*o**4 + v*o**3.
-2*o**3*(o - 1)*(o + 1)/7
Let c(k) = 4*k**2 + 2*k. Let x(u) = -4*u - 2 + 2 + 0 - 7*u**2. Let i(l) = 5*c(l) + 3*x(l). Find g, given that i(g) = 0.
-2, 0
Let q = 3 + -9/4. Solve 0*v**3 - 3/2*v**2 + 3/4*v**4 + q + 0*v = 0.
-1, 1
Let -93*a + 4*a**4 - 7*a**2 - 2*a**3 + 7*a**3 + 91*a = 0. Calculate a.
-2, -1/4, 0, 1
Factor -2/5*m**3 - 54/5*m**2 - 1458/5 - 486/5*m.
-2*(m + 9)**3/5
Let t(j) be the first derivative of 1/5*j**5 - 1/3*j**3 + 1/6*j**6 - 1/4*j**4 + 0*j**2 + 0*j + 4. Find s such that t(s) = 0.
-1, 0, 1
Factor 54/7 - 108/7*r + 72/7*r**2 + 2/7*r**4 - 20/7*r**3.
2*(r - 3)**3*(r - 1)/7
Let a = 11 - 9. Let w = a - -1. Factor 2/7*q**w + 2/7 - 2/7*q - 2/7*q**2.
2*(q - 1)**2*(q + 1)/7
Let o(w) = -2*w**2 - 15*w - 5. Let d be 