3*m - 14*m**2 - 3*m + 4*m**4 - 10*m**3.
-2*m*(m + 1)**2*(m + 3)
Suppose 0 = 5*j - 235 + 60. Factor -12*p**2 + j*p + 0 - 8 + p - 16*p**3.
-4*(p - 1)*(p + 2)*(4*p - 1)
Let y(b) = 2*b**2 - 2*b + 2. Let j be y(1). Let c = 113/63 + -11/7. Factor 2/3*n + 4/9 + c*n**j.
2*(n + 1)*(n + 2)/9
Suppose 0 = -2*h - 4*f - 8, -f - 6 = -h + 2*f. Let m(n) be the first derivative of h*n - 3*n**4 - n**2 - 8/5*n**5 - 1/3*n**6 - 8/3*n**3 - 3. Factor m(v).
-2*v*(v + 1)**4
Let 1/4*b**2 + 1/2*b + 0 = 0. What is b?
-2, 0
Let g(p) be the third derivative of -p**7/70 - p**6/40 + p**5/20 + p**4/8 - 35*p**2. What is a in g(a) = 0?
-1, 0, 1
Let m be (-1)/(-4)*(3 + 1) - 1. Suppose 0*q + 1/2*q**3 + 1/4*q**2 - 3/4*q**4 + m = 0. What is q?
-1/3, 0, 1
Let o(q) = -23*q**3 - 20*q**2 + 59*q - 16. Let z(k) = -k**3 + k. Let i(a) = -o(a) - 5*z(a). Solve i(c) = 0.
-2, 2/7, 1
Suppose 0 = 2*m - 4*m. Let o = 3 + m. Factor x**3 + 1 + 2 + 2*x**2 - o.
x**2*(x + 2)
Let q(w) be the third derivative of w**9/2016 - w**8/2520 - w**7/630 - w**5/60 + 2*w**2. Let a(z) be the third derivative of q(z). Solve a(u) = 0 for u.
-2/5, 0, 2/3
Let z(w) be the second derivative of w**6/30 + 3*w**5/40 - w**4/8 - w**3/6 - 13*w. Determine y so that z(y) = 0.
-2, -1/2, 0, 1
Let r(p) be the second derivative of -p**7/14 + p**6/10 + 3*p**5/20 - p**4/4 + 3*p. Factor r(d).
-3*d**2*(d - 1)**2*(d + 1)
Let m = -167 - -167. Factor 10/11*x**5 - 4/11*x**3 + m*x + 0 + 6/11*x**4 + 0*x**2.
2*x**3*(x + 1)*(5*x - 2)/11
Let p(q) be the second derivative of -q**5/180 + q**4/36 - q**3/18 + 7*q**2/2 - 8*q. Let b(y) be the first derivative of p(y). Factor b(o).
-(o - 1)**2/3
Suppose -o + 2*o = 2. Find w, given that w**4 - 3 + 2 + w**o - 5*w - 1 + w**3 - 4*w**2 = 0.
-1, 2
Suppose -5*i - t - 205 = 0, -6*i = -4*i + 5*t + 59. Let j be (-6)/21 + (-124)/i. Factor 8/3 - j*q + 2/3*q**2.
2*(q - 2)**2/3
Let o = 511 + -20439/40. Let r(t) be the second derivative of 0 + 3*t + 1/48*t**4 - 1/24*t**3 + o*t**6 + 1/16*t**5 + 0*t**2. Let r(k) = 0. Calculate k.
-1, 0, 1/3
Suppose 16*x + 24 = 19*x. Let 2 + 12*u**2 + 9*u**3 - 6*u**4 + x*u + 8*u**4 - u**3 = 0. What is u?
-1
Let v(h) be the first derivative of -h**8/1680 + h**7/840 + h**6/360 - h**5/120 + 4*h**3/3 + 8. Let m(n) be the third derivative of v(n). Solve m(k) = 0 for k.
-1, 0, 1
Let s(c) be the second derivative of -2*c + 4/9*c**6 + 0 - 1/6*c**2 - 8/21*c**7 - 13/12*c**4 + 11/18*c**3 + 37/60*c**5. Find q, given that s(q) = 0.
-1, 1/4, 1/3, 1
Suppose -l - 2*k = -12, -5*k = l - 8*k + 8. Factor -2/5*g - 2/5*g**l + 2/5*g**2 + 2/5*g**3 + 0.
-2*g*(g - 1)**2*(g + 1)/5
Let d = 38 - 340/9. Factor 0 + d*u**2 + 0*u.
2*u**2/9
Factor 1/3*x**2 + 3 - 2*x.
(x - 3)**2/3
Let b(q) be the second derivative of -q - 1/10*q**5 - 5/24*q**4 + 0 + 0*q**2 - 1/60*q**6 - 1/6*q**3. Solve b(p) = 0 for p.
-2, -1, 0
Let l(z) = z**2 - z - 3. Let i be l(-3). Suppose -2*x = -6, -2*x + i = 3*n - x. Factor -4*d**3 + 2 - 2*d**4 - 4 + 0*d**5 + 2*d**5 + n*d + 4*d**2.
2*(d - 1)**3*(d + 1)**2
Let a(z) be the second derivative of 10*z - 1/6*z**4 - 3*z**2 + 0 + 4/3*z**3. Determine l so that a(l) = 0.
1, 3
Let y = 35906/51 - 704. Let p = y - -149/102. Find f, given that -9/2*f**4 + p - 6*f + 3*f**2 + 6*f**3 = 0.
-1, 1/3, 1
Let z(r) be the third derivative of -r**10/22680 + r**9/6480 - r**8/10080 - r**7/7560 + r**4/8 + r**2. Let t(f) be the second derivative of z(f). Factor t(v).
-v**2*(v - 1)**2*(4*v + 1)/3
Let h(x) be the first derivative of x**5/20 - x**4/4 + x**3/2 + 3*x**2/2 - 1. Let p(i) be the second derivative of h(i). Factor p(b).
3*(b - 1)**2
Let i be 3 - ((-2)/1 - -5). Let j(q) be the first derivative of -1/4*q**4 - 2 + 4/5*q**5 - 2/9*q**3 + i*q + 0*q**2 - 7/18*q**6. What is n in j(n) = 0?
-2/7, 0, 1
Let i(s) be the first derivative of -2*s**3/3 - 14*s**2 - 98*s - 22. Factor i(h).
-2*(h + 7)**2
Let h(o) be the third derivative of o**7/840 + o**6/180 - o**3/2 + 3*o**2. Let s(c) be the first derivative of h(c). Find k, given that s(k) = 0.
-2, 0
Let k(h) be the second derivative of 3/7*h**2 - 1/3*h**3 + 0 + 10*h - 1/70*h**5 + 5/42*h**4. Solve k(s) = 0.
1, 3
Let a(c) be the first derivative of -1/6*c**2 - 2/9*c**3 + 1/6*c**4 + 1/15*c**5 + 1/3*c - 1/18*c**6 - 1. Determine d, given that a(d) = 0.
-1, 1
Let w(i) be the first derivative of 0*i**3 + 1/6*i**4 - 1/20*i**5 + 0*i**2 - 1 - i. Let g(b) be the first derivative of w(b). Factor g(k).
-k**2*(k - 2)
Let b(c) be the third derivative of c**6/240 + c**5/120 - 16*c**2 + 2. Suppose b(q) = 0. Calculate q.
-1, 0
Let m(s) be the first derivative of -s**7/21 - s**6/10 + s**5/20 + s**4/4 + s**3/6 - s - 4. Let w(d) be the first derivative of m(d). Solve w(v) = 0 for v.
-1, -1/2, 0, 1
Factor -4*i**2 - 2*i**4 - i**4 - 4*i**2 + 6*i**3 + 5*i**2.
-3*i**2*(i - 1)**2
Let 0 - b + 5/2*b**2 - 3/2*b**4 + 2*b**3 = 0. What is b?
-1, 0, 1/3, 2
Let z be (-55)/(-110) + 0/2. Determine t so that -3/4*t - z - 1/4*t**2 = 0.
-2, -1
Let b = 8/99 - -25/99. Factor b*k**3 - 1/3*k**4 + 1/3*k**2 - 1/3*k + 0.
-k*(k - 1)**2*(k + 1)/3
Let d(i) = i**3 - i + 3. Suppose -2*p = -p. Let s be d(p). Solve 8*f**s + 1 + f**4 + f**4 + 12*f**2 + 1 + 8*f = 0 for f.
-1
Suppose 0*t**3 + 6*t - 22*t**4 + 10*t**2 + 20*t**4 + 2*t**3 = 0. What is t?
-1, 0, 3
Let f be 6/(-2) + 5 + (-3)/2. Suppose 3*z**3 + f*z + 1/2*z**5 + 2*z**4 + 0 + 2*z**2 = 0. Calculate z.
-1, 0
Let n(l) = -2*l - 4. Let s be n(-3). Let s*a - 3*a**2 - 6*a + 5 + 4 - 2*a = 0. Calculate a.
-3, 1
Let k(c) be the third derivative of c**7/280 + c**6/40 + 3*c**5/80 - c**4/8 - c**3/2 - 4*c**2. Factor k(z).
3*(z - 1)*(z + 1)*(z + 2)**2/4
Suppose -3*g - g + 40 = 0. Let b = g + -5. Factor -c**4 - 2*c**3 - 1 + 2*c**2 + 0*c + 0 + c - 2*c**b + 3*c**5.
(c - 1)**3*(c + 1)**2
Let q(z) be the third derivative of z**8/1008 - z**7/210 + z**6/120 - z**5/180 - 4*z**2. Let q(s) = 0. What is s?
0, 1
Let j(o) = -6*o**2 + 5 - 1 + o - 11. Let y(h) = -5*h**2 + h - 6. Let i(b) = 6*j(b) - 7*y(b). Let i(u) = 0. What is u?
-1, 0
Let j(u) be the first derivative of u**6/11 + 2*u**5/5 + 15*u**4/22 + 6*u**3/11 + 2*u**2/11 + 3. Factor j(i).
2*i*(i + 1)**3*(3*i + 2)/11
Let r(a) = -3*a**4 + 3*a**3 + 6*a**2 + 9. Let s(q) = q**3 + q**2 + 1. Let v(k) = r(k) - 9*s(k). Factor v(p).
-3*p**2*(p + 1)**2
Let n(q) be the first derivative of -q**7/70 - q**6/60 + q**5/60 + 3*q**2/2 + 3. Let l(x) be the second derivative of n(x). Factor l(t).
-t**2*(t + 1)*(3*t - 1)
Let w(d) be the first derivative of 2*d**4/7 + 54*d**3/7 + 60*d**2 + 200*d/7 - 43. Factor w(s).
2*(s + 10)**2*(4*s + 1)/7
Let o(h) = -h**2 + 11*h + 15. Let z be o(12). Factor -1/5 - 3/5*f**2 - 3/5*f - 1/5*f**z.
-(f + 1)**3/5
Let w(g) be the second derivative of -2*g**7/63 + 2*g**5/15 - 2*g**3/9 - 24*g. Factor w(r).
-4*r*(r - 1)**2*(r + 1)**2/3
Let g(f) be the first derivative of -f**3 + 3*f**2/2 + 6*f + 1. Solve g(d) = 0 for d.
-1, 2
Suppose 5*w = -3*z + 4, -w = 3*z - 0*z - 8. Suppose 3*h**z - 12*h + 3 - h + 3 + 4*h = 0. What is h?
-2, 1
Suppose -192 = g - 2*n, -n - 544 = 3*g + n. Let p be 2/5 + g/1035. Factor -p + 4/9*s**3 + 2/9*s**4 + 0*s**2 - 4/9*s.
2*(s - 1)*(s + 1)**3/9
Let f(z) = z**2 - 1. Let b(j) = 3*j**3 - 11*j**2 + 12*j - 1. Let t(y) = b(y) - f(y). Factor t(w).
3*w*(w - 2)**2
Let r be (-1)/3*2412/14. Let h = r + 58. Factor h*b**2 - 6/7*b**4 + 4/7*b**3 + 2/7*b**5 + 2/7 - 6/7*b.
2*(b - 1)**4*(b + 1)/7
Let h(n) be the third derivative of n**6/480 + n**5/240 + 7*n**2. Factor h(v).
v**2*(v + 1)/4
Suppose 0*q + 0*q**2 + 1/2*q**3 - 1/4*q**4 - 1/4*q**5 + 0 = 0. What is q?
-2, 0, 1
Let z(x) be the third derivative of x**5/60 - x**4/24 - x**2. Solve z(o) = 0 for o.
0, 1
Let r(x) be the first derivative of x**8/560 + x**7/280 - 2*x**3 - 4. Let m(a) be the third derivative of r(a). Let m(q) = 0. Calculate q.
-1, 0
Let k(h) be the third derivative of h**7/735 + h**6/420 - h**5/420 - 5*h**3/3 - h**2. Let l(b) be the first derivative of k(b). Let l(j) = 0. Calculate j.
-1, 0, 1/4
Let l(v) = -v**3 + 8*v**2 - 8*v + 10. Let b be l(7). Factor -b*t - 6*t**3 - t**2 + 2*t**2 + 8*t**2.
-3*t*(t - 1)*(2*t - 1)
Let y(d) be the third derivative of -d**7/735 + d**6/420 + d**5/70 - 5*d**4/84 + 2*d**3/21 - 5*d**2. Determine i so that y(i) = 0.
-2, 1
Let m be ((-4)/3)/((-6)/9). Suppose -19/2*g - 28*g**3 + 57/2*g**m + 1 + 8*g**4 = 0. What is g?
1/4, 1, 2
Let h = 11 + -8. Suppose