2*(h - -3). Solve 0*y**q + y - y**3 + 0*y = 0 for y.
-1, 0, 1
Suppose -4/3 + 4/3*b**2 + 2/3*b**3 - 2/3*b = 0. Calculate b.
-2, -1, 1
Let w(i) be the second derivative of -9/20*i**5 - 1/4*i**4 + 0 + 0*i**2 - 1/14*i**7 + 0*i**3 - 3/10*i**6 + i. Solve w(n) = 0.
-1, 0
Suppose -12 = -3*o - 0. Suppose t + 1 = 3*s - 1, -4*t = -16. Suppose -2*r**2 + r**o + 0*r + 3*r**3 + r + 5*r**s = 0. Calculate r.
-1, 0
Let t(q) be the first derivative of -q**3/7 - 9*q**2/14 + 12*q/7 - 12. Factor t(j).
-3*(j - 1)*(j + 4)/7
Let u(t) be the second derivative of -t**10/10080 - t**9/2520 - t**4/3 + t. Let o(a) be the third derivative of u(a). Find n such that o(n) = 0.
-2, 0
Factor 3*d - 9/2*d**2 + 3/2*d**3 + 0.
3*d*(d - 2)*(d - 1)/2
Let c = 26 - 23. Let q(t) be the first derivative of 0*t**4 - 1/15*t**6 - 1 + 0*t**2 + 0*t**5 + 0*t + 0*t**c. Let q(b) = 0. What is b?
0
Let h(u) = 12*u**2 + 4*u - 5. Let y(o) = 6*o**2 + 2*o - 3. Let c(j) = -6*h(j) + 10*y(j). Factor c(b).
-4*b*(3*b + 1)
Let s = -2813/39 + 117497/1612. Let n = -1/93 + s. Factor -n*h**2 - 3/4 + 3/2*h.
-3*(h - 1)**2/4
Let q(l) be the third derivative of -l**8/280 + l**7/50 - l**6/40 - l**5/20 + 7*l**4/40 - l**3/5 + 19*l**2. Determine t, given that q(t) = 0.
-1, 1/2, 1, 2
Let c(j) = j**2 - 1. Let s(q) = -4*q**4 + 4*q**3 + 16*q**2 - 4*q - 12. Let p(o) = 12*c(o) - s(o). Solve p(y) = 0.
-1, 0, 1
Let j be (-30)/(-70)*(-2161)/(-9). Let b = j - 307/3. Find p such that 2/7*p**2 - b*p + 0 = 0.
0, 2
Let i be (-6)/10 - 33/(-5). Suppose -d - 10 = -i*d. Let -m**3 + 2*m**3 + 2*m**2 + m**3 - 2 - d*m = 0. What is m?
-1, 1
Let n(v) be the first derivative of -3*v**5/10 + 3*v**4/8 - 9. Find l, given that n(l) = 0.
0, 1
Let a be 1 - ((-4)/(-1) + -3). Suppose h = -a*h. Factor -2/5*y + h - 2/5*y**4 + 2/5*y**3 + 2/5*y**2.
-2*y*(y - 1)**2*(y + 1)/5
Suppose 6 = -0*k + 3*k. Suppose -k*j - j = 0. Determine z, given that 6 - 8*z - z**2 + j + 3*z**2 + 2 = 0.
2
Let -70 - 55 - 55*x - 5*x**2 + 105*x = 0. Calculate x.
5
Let y be (0 - -3)*(14 - 13). Factor 3/7*d**4 + 1/7*d**2 + 5/7*d**y + 0 - 1/7*d.
d*(d + 1)**2*(3*d - 1)/7
Let s = 562/3 - 63500/339. Let j = 1826/1017 - s. Factor j*v**2 - 10/9*v + 2/9 - 8/9*v**3.
-2*(v - 1)*(2*v - 1)**2/9
Let x = 2 + 0. Solve 4*c**2 - 2*c + 2*c - 2*c**x = 0 for c.
0
Suppose 0 = -3*j - r + 13, -3*j + 2*j = -4*r. Let n be ((-2)/24)/(j/(-12)). Factor 0*s**3 + 1/4 - 1/2*s**2 + n*s**4 + 0*s.
(s - 1)**2*(s + 1)**2/4
Let b(u) be the third derivative of u**6/120 - u**5/20 + u**4/8 - u**3/6 + 10*u**2. Determine p so that b(p) = 0.
1
Factor 0 + 12/7*o + 3/7*o**2.
3*o*(o + 4)/7
Let x(f) be the second derivative of -1/3*f**2 - 1/6*f**4 + f - 4/9*f**3 + 0. Suppose x(o) = 0. What is o?
-1, -1/3
Let a(v) be the first derivative of 2*v**5/35 + 5*v**4/14 + 6*v**3/7 + v**2 + 4*v/7 + 6. Factor a(j).
2*(j + 1)**3*(j + 2)/7
Let k = -6 - -5. Let f be k/(1 - 0)*-2. Factor f*v**2 - 4*v**2 + 2*v**5 - 2*v**3 + 0*v**4 + 2*v**4.
2*v**2*(v - 1)*(v + 1)**2
Let r = -13 - -13. Let h(l) be the third derivative of -1/84*l**4 - 1/210*l**5 + 0*l**3 + 2*l**2 + r*l + 0. Solve h(w) = 0 for w.
-1, 0
Let h**4 - 1/4*h - 3/2*h**3 + 0 + h**2 - 1/4*h**5 = 0. What is h?
0, 1
Let c(i) = 4*i + 86. Let n be c(-21). Suppose 24/7*q**n + 2/7*q - 6/7*q**5 + 4*q**4 - 4/7 - 44/7*q**3 = 0. Calculate q.
-1/3, 1, 2
Suppose -3/2*g**3 + 9*g**2 - 27/2*g + 6 = 0. Calculate g.
1, 4
Let d(k) = -24*k**4 - 6*k**3 + 9*k**2 + 6*k - 6. Let z(l) = 48*l**4 + 12*l**3 - 17*l**2 - 11*l + 11. Let u(i) = 11*d(i) + 6*z(i). Let u(j) = 0. What is j?
-1/2, 0, 1/4
Let y(u) be the third derivative of u**6/200 + 7*u**5/100 + 3*u**4/8 + 9*u**3/10 + 8*u**2. Factor y(g).
3*(g + 1)*(g + 3)**2/5
Let y be -16*(0 - (-3 + 4)). Factor -8*q - 2*q - 2 + 24*q**4 + 8*q**4 - 30*q**2 + y*q**3 - 6*q.
2*(q - 1)*(q + 1)*(4*q + 1)**2
Let l(h) = -4*h**3 + h**2 + h + 1. Let o be l(-1). Find a such that 7*a**3 + 22*a + o*a**3 + 2*a - 8 - 26*a**2 - 2*a**4 = 0.
1, 2
Let s = 27 + -26. Let l be (1078/28)/(s/2). Solve 63/2*f**4 - 165/2*f**3 - 30*f + 4 + l*f**2 = 0.
2/7, 2/3, 1
Suppose 9 = x - 3*y, 2*y = -3*x + 4*y + 6. Suppose 4*r + 4 = 2*u - x, 5*r = -5*u + 10. What is n in r + 0*n + 1/2*n**2 = 0?
0
Let j(t) = t - 7. Let o be j(5). Let d be o/(-5) + 54/15. Determine r, given that d*r**3 - 6*r**4 - 4/3*r + 0 + 10/3*r**2 = 0.
-2/3, 0, 1/3, 1
Let h(j) be the third derivative of -1/30*j**5 + 1/3*j**3 + 4*j**2 + 0*j - 1/12*j**4 + 1/60*j**6 + 0. Determine n so that h(n) = 0.
-1, 1
Let f(y) be the third derivative of y**7/70 - 3*y**6/20 + 11*y**5/20 - 3*y**4/4 - 41*y**2. Factor f(o).
3*o*(o - 3)*(o - 2)*(o - 1)
Let s be (3 + (-1 - 0))/18. Let z(f) be the second derivative of -f + 0 - s*f**2 - 1/54*f**4 + 2/27*f**3. Factor z(a).
-2*(a - 1)**2/9
Suppose -5*f + 5*z = -40, 5*f = 3*z + z + 41. Let n(c) = -c**3 + c - 2. Let g be n(-2). Factor -20*w**4 - 6*w**5 - f*w**5 + 2*w**4 + 2*w**4 - g*w**3.
-w**3*(3*w + 2)*(5*w + 2)
Let m(n) = n**2 + 1. Let q be m(0). Factor -3*j + q - 3 + 0 + j**3.
(j - 2)*(j + 1)**2
Let g(p) = p**2 - 3*p - 1. Let l be g(4). Suppose 2 = -4*t + 10. Factor 18*r**t + 4 - 10*r + l*r - 7*r - 10*r**3 + 2*r**4.
2*(r - 2)*(r - 1)**3
Let y(o) = 4*o + 70. Let u be y(-17). Let k(d) be the first derivative of 1/6*d**3 + 1/2*d - 1/2*d**u - 1. Factor k(z).
(z - 1)**2/2
Determine q so that 2*q**3 + 7*q**3 + 7*q**2 - 4*q**3 + 2*q**4 - 3*q**2 + q = 0.
-1, -1/2, 0
Find r, given that -8/11*r**5 - 8/11*r**4 + 38/11*r**3 - 36/11 + 4*r**2 - 30/11*r = 0.
-3/2, -1, 1, 2
Let r = 85 - 339/4. Determine x, given that r*x + 0 + 1/4*x**2 = 0.
-1, 0
Suppose 5*l - 12*s + 15*s - 12 = 0, 3*l + s = 8. Factor 0*g + 0 - 2*g**l + 2/3*g**4 + 4/3*g**2.
2*g**2*(g - 2)*(g - 1)/3
Let z(c) be the third derivative of -c**5/240 + c**4/12 + 3*c**3/8 - 71*c**2. Solve z(d) = 0.
-1, 9
Let z be (-4 + (-3 - -4))*(-1 - 0). Let u(h) be the second derivative of 0*h**2 + 2/3*h**z + 4*h + 0 + 1/10*h**5 + 1/2*h**4. Determine n so that u(n) = 0.
-2, -1, 0
Let 0 - 2/13*k**4 + 2/13*k**2 - 2/13*k**3 + 2/13*k = 0. What is k?
-1, 0, 1
Let w(u) be the third derivative of -u**7/42 + u**6/12 - u**5/12 + 9*u**2. Factor w(t).
-5*t**2*(t - 1)**2
Suppose -5*k = -10 - 5. Factor -3*s**2 - 3*s + 2 - k - 3*s**3 + 2*s**3 + 0*s**3.
-(s + 1)**3
Let f(r) be the third derivative of 7*r**6/480 + r**5/15 + 11*r**4/96 + r**3/12 - 9*r**2. Factor f(d).
(d + 1)**2*(7*d + 2)/4
Factor -4/7*q - 2/7*q**5 + 0 + 10/7*q**4 - 18/7*q**3 + 2*q**2.
-2*q*(q - 2)*(q - 1)**3/7
Let r = 6/43 - -19/172. Let m(t) be the first derivative of 0*t + 5/12*t**3 + r*t**2 - 1/24*t**6 - 1/20*t**5 - 1 + 3/16*t**4. Find g such that m(g) = 0.
-1, 0, 2
What is v in -3/4*v**3 + 3*v**2 - 15/4*v + 3/2 = 0?
1, 2
Let c = -3/10 + 21/20. Let 0 + 1/4*m**2 + 0*m - c*m**3 = 0. Calculate m.
0, 1/3
Let d = -38290 + 306695/8. Let s(m) be the first derivative of -d*m**4 + 75*m**3 + 12*m - 45*m**2 - 4. Factor s(l).
-3*(5*l - 2)**3/2
Suppose 12 = -4*q + 6*q. Let h = 8 - q. Find g such that -h*g**3 + 3*g - g - 2*g = 0.
0
Let j(o) be the third derivative of -19*o**7/70 + 11*o**6/30 + 53*o**5/60 - 11*o**4/6 + 2*o**3/3 + 28*o**2. Let j(d) = 0. Calculate d.
-1, 2/19, 2/3, 1
Let w = -11 + 14. Factor 0*a**3 + 6*a + 2 - 3*a**w - 5 + 3*a**2 - 3*a.
-3*(a - 1)**2*(a + 1)
Let c(y) be the third derivative of -y**6/360 + y**5/180 + y**4/36 + 2*y**2. Determine v so that c(v) = 0.
-1, 0, 2
Let k = -1183/5 + 237. Let -k*u + 2/5*u**3 + 0 + 0*u**2 = 0. Calculate u.
-1, 0, 1
Let a(n) be the first derivative of -2*n**3/63 - n**2/7 - 4*n/21 + 28. Factor a(l).
-2*(l + 1)*(l + 2)/21
Let r(y) be the third derivative of 5*y**8/336 - y**7/21 - y**6/24 + y**5/6 + 16*y**2. Solve r(b) = 0.
-1, 0, 1, 2
Solve -7*q**2 + 36*q**4 - 15*q**4 - q**2 + 2*q**5 - 13*q**4 - 2*q**3 = 0 for q.
-4, -1, 0, 1
Factor 18/5*w - 27/5 - 3/5*w**2.
-3*(w - 3)**2/5
Let j(n) = 6*n**4 - 20*n**3 + 10*n**2 + n. Let m(l) = 40*l**3 + 0*l - 7*l**4 - 7*l**2 - 4*l**4 - 3*l - 12*l**2. Let x(d) = -14*j(d) - 6*m(d). Factor x(o).
-2*o*(o - 1)**2*(9*o - 2)
Let g(x) be the third derivative of -x**8/2240 - x**7/336 + x**6/120 - x**5/15 - x**2. Let b(q) be the third derivative of g(q). Find v such that b(v) = 0.
-2, 1/3
Factor 0*b + 0 + 0*b**2 - 2/3*b**4 + b**3 - 1/3*b**5.
-b**3*(b - 1)*(b + 3)/3
Suppose 4 + 4/3*b**2 - 16/3*b = 0. What is b?
1, 3
Let i(u) be the first derivative of u**4/8 - u**3/6 - u