se -6*b + 2*b = 2*q - k, -3*b + 14 = q. Let -2*i**2 + 2*i**4 - i + i**2 - 2*i**2 + i**5 + i**q = 0. What is i?
-1, 0, 1
Factor 0 + 0*m - 5/3*m**3 + 0*m**2.
-5*m**3/3
Let j = 19507 - 135546/7. Let i = j + -143. Factor 2/7*u - i*u**4 - 2/7 - 4/7*u**3 + 2/7*u**5 + 4/7*u**2.
2*(u - 1)**3*(u + 1)**2/7
Let v(p) be the first derivative of -3*p**5/25 + 57*p**4/20 - 126*p**3/5 + 486*p**2/5 - 648*p/5 - 5. Factor v(i).
-3*(i - 6)**3*(i - 1)/5
Suppose 4*v = -2*t, t + 0*t = v. Let -1 - 2*j + t - j**2 - 2 + 6 = 0. Calculate j.
-3, 1
Factor 0 + 2/7*n - 2/21*n**2.
-2*n*(n - 3)/21
Let y = -49 + 51. Factor -n - 1 - 1/4*n**y.
-(n + 2)**2/4
Let x = -91 - -91. Factor -1/4*i**2 + x*i - 3/4*i**3 + 0.
-i**2*(3*i + 1)/4
Let o be 6/9*-3 + -60. Let l = o - -312/5. Solve 8/5*c**4 - 12/5*c**3 + 0 - 2/5*c - l*c**5 + 8/5*c**2 = 0.
0, 1
Let m(k) = 6*k**4 - 2*k**3 - 5*k**2 - 3*k - 1. Let z(v) = -4*v + v**2 + 13*v**4 + 4*v - 14*v**4 + v. Let y(x) = 2*m(x) + 10*z(x). What is g in y(g) = 0?
-1, 1
Let m(n) be the second derivative of -1/10*n**6 + 9*n + 0*n**4 - 1/28*n**7 + 0*n**3 + 0 - 3/40*n**5 + 0*n**2. Factor m(y).
-3*y**3*(y + 1)**2/2
Suppose -3*s + 11 = -z, 6*z + 10 = 4*z. Factor -1 + 1/2*f + 1/2*f**s.
(f - 1)*(f + 2)/2
Let o be (-72)/(-27) - (-2)/(-3). Let s(t) be the first derivative of 2/25*t**5 - 2/15*t**3 + 1/10*t**4 - 1 - 1/5*t**o + 0*t. Factor s(i).
2*i*(i - 1)*(i + 1)**2/5
What is v in 8*v**2 + 7*v - 5*v**2 - 5*v - v**2 = 0?
-1, 0
Suppose 4 = -2*r, 0 = 5*x + 3*r - 13 + 4. Suppose 12 + 13 = 5*q. Solve 6 + 8 + x*y**2 - 17*y + q*y - 2 = 0 for y.
2
Let l be 17 + -8 + 59/(-7). Find b, given that l*b + 6/7*b**2 - 10/7*b**3 + 0 = 0.
-2/5, 0, 1
Solve -172*l**5 - 3*l + 3*l + 4*l**2 - 3*l**4 + 173*l**5 = 0.
-1, 0, 2
Suppose 0 = -2*y + 2*n + 2, 2*y = -3*y - 5*n + 25. Let 4*q**4 - 6*q**3 - 4*q**3 + q**y + 2*q**2 = 0. What is q?
0, 1/4, 2
Let y(q) be the second derivative of q**4/2 - 4*q**3/3 + q**2 - 11*q. Find m, given that y(m) = 0.
1/3, 1
Let k(x) be the second derivative of -x**5/160 + x**3/16 + x**2/8 - 2*x. Find v, given that k(v) = 0.
-1, 2
Let c(m) be the third derivative of -m**6/480 + m**5/60 - 5*m**4/96 + m**3/12 - 14*m**2. Factor c(i).
-(i - 2)*(i - 1)**2/4
Let c = 35 - 33. Factor 8/7*x**c + 2/7 - 8/7*x.
2*(2*x - 1)**2/7
Factor -3/2*j**2 + 5/6*j**3 - 1/6*j**4 - 1/3 + 7/6*j.
-(j - 2)*(j - 1)**3/6
Let w = 642 + -630. Factor -1/3*o**4 - 9 - w*o**2 - 10/3*o**3 - 18*o.
-(o + 1)*(o + 3)**3/3
Let r(w) be the first derivative of 0*w**3 - 1/40*w**5 + 1/60*w**6 + 2 + 0*w**4 + 2*w + 0*w**2. Let o(j) be the first derivative of r(j). Factor o(v).
v**3*(v - 1)/2
Let k(h) be the first derivative of -h**4/8 - h**3/3 - h**2/4 - 9. Suppose k(w) = 0. Calculate w.
-1, 0
Let o(n) = n**2 - 2*n - 3. Let g be o(4). Suppose f - g = 4. Let 0*m**2 + 4*m**3 + 8*m**2 + 4*m**3 - f*m**4 - 4*m - 5*m**3 = 0. Calculate m.
-1, 0, 2/3
Let g(l) be the third derivative of -1/360*l**5 + 0*l - 6*l**2 + 0 - 1/4*l**3 - 1/24*l**4. Factor g(u).
-(u + 3)**2/6
Let h(s) be the first derivative of s**6/4 + 3*s**5/5 - 20. Suppose h(t) = 0. What is t?
-2, 0
Let j = -4 + 7. Factor -2 - w**j + 3*w + 3*w**3 - 6*w**3 + 3*w**3.
-(w - 1)**2*(w + 2)
Let -1/3*d**2 - 1/6*d**3 + 0 - 1/6*d = 0. Calculate d.
-1, 0
Let f(g) = 5*g**2 + 6*g + 1. Let z(a) = -a**2 - a. Let b(t) = f(t) + 6*z(t). Let b(k) = 0. Calculate k.
-1, 1
Let d(z) be the first derivative of -3*z**6/4 + 6*z**5/5 + 5*z**4/2 - 5*z**3/3 - 11*z**2/4 - z - 1. Let d(q) = 0. Calculate q.
-1, -1/3, 1, 2
Suppose 3*b - 490 = -2*b. Factor 56*v - 56*v**3 - 6 - 90*v**2 + 2 + b*v**4 - 4.
2*(v - 1)*(v + 1)*(7*v - 2)**2
Let v be 21/(-49)*(-8 - -1). Let p(u) = 3*u**3 + u**2 - 2*u + 1. Let n be p(1). Factor -1 - 9*f + 12*f + 0*f**v + f**3 - n*f**2.
(f - 1)**3
Let a(q) be the third derivative of -q**7/140 - q**6/20 - 3*q**5/20 - q**4/4 - q**3/4 + 9*q**2. Factor a(p).
-3*(p + 1)**4/2
Let d(f) be the first derivative of -3 + 0*f**2 + 2/3*f**3 + 0*f + 3/5*f**5 - 5/4*f**4. Determine z so that d(z) = 0.
0, 2/3, 1
Let v(b) be the third derivative of -b**6/20 - 3*b**5/40 + b**4/16 - b**2. Suppose v(l) = 0. What is l?
-1, 0, 1/4
Let i(c) be the second derivative of 0 + 0*c**2 + 5/6*c**4 - 1/3*c**3 - 2/5*c**5 + 4*c. Let i(q) = 0. Calculate q.
0, 1/4, 1
Let w be ((-4)/(-10))/((-2)/(-60)). Let c(h) = 5*h - 4. Let v be c(2). Factor 15/2*s**2 + 3/2*s**3 + v + w*s.
3*(s + 1)*(s + 2)**2/2
Let t(z) be the second derivative of z**6/135 - z**4/54 + z. Let t(m) = 0. Calculate m.
-1, 0, 1
Let w = 41 + -40. Let d(v) be the first derivative of 8*v - w - 4*v**2 + 2/3*v**3. Solve d(l) = 0.
2
Let b be -2 + 0/(-8) - -4. Factor 12/5 - 16/5*j + 4/5*j**b.
4*(j - 3)*(j - 1)/5
Let b(u) = 19*u**2 + 16*u - 3. Let t(a) = 10*a**2 + 8*a - 2. Let s(p) = -4*b(p) + 9*t(p). Solve s(w) = 0 for w.
-1, 3/7
Let r(q) be the first derivative of 2*q**3/39 - 3*q**2/13 + 4*q/13 + 8. Factor r(t).
2*(t - 2)*(t - 1)/13
Let z(o) be the second derivative of -1/3*o**3 + 0 + 0*o**2 + o - 1/12*o**4 + 1/20*o**5. Factor z(w).
w*(w - 2)*(w + 1)
Suppose 9*d - 14*d = 0. What is t in 0*t**3 + 2/5*t**4 + 0 + d*t - 2/5*t**2 = 0?
-1, 0, 1
Let i(n) be the third derivative of -n**6/840 + n**5/84 + 20*n**2. Determine v so that i(v) = 0.
0, 5
Let x(q) be the second derivative of q**6/8 - 9*q**5/80 - q**4/8 - 10*q. Factor x(b).
3*b**2*(b - 1)*(5*b + 2)/4
Suppose -w + 0*w + 4 = 4*b, -4*w = 2*b - 16. Suppose 2*k + 2*k = b. Factor -1/4*r**3 + 1/4*r + 0*r**2 + k.
-r*(r - 1)*(r + 1)/4
Let q(j) = -8*j**2 + 3*j - 6. Let y(b) = 4*b**2 - 4*b**2 + 3*b**2 + 2 - b. Let l(z) = -4*q(z) - 11*y(z). Factor l(m).
-(m - 1)*(m + 2)
Let y(l) = 18*l**3 - 126*l**2 + 116*l - 28. Let b(q) = -q**2 - q + 1. Let c(h) = -12*b(h) + y(h). Factor c(w).
2*(w - 5)*(3*w - 2)**2
Let q = 9 + -6. Suppose 2*r - 3 - q = 0. Factor -x**3 + 2*x**r + x - 2*x.
x*(x - 1)*(x + 1)
Let a be ((-120)/315)/(2/(-3)). Factor -2/7*m**2 - 2/7 + a*m.
-2*(m - 1)**2/7
Suppose -5*r + 0*r = 5. Let q = r + 1. Factor -2*d**3 + 0*d**4 + 2*d**4 + q*d**3.
2*d**3*(d - 1)
Let p(l) be the first derivative of 2*l**3/15 - 4*l**2/5 + 8*l/5 + 12. Determine b, given that p(b) = 0.
2
Suppose 2*d - 4 - 6 = 0. Suppose 2*i - 15 = 2*c + d*i, -5*c + 10 = -2*i. Factor -4/5*o - 2*o**2 + c.
-2*o*(5*o + 2)/5
Let f(g) be the second derivative of g**9/37800 + g**8/8400 + g**7/6300 - g**4/2 - 9*g. Let z(b) be the third derivative of f(b). Solve z(h) = 0 for h.
-1, 0
Let t(o) be the first derivative of -1/14*o**4 + 2/7*o - 2 - 2/21*o**3 + 1/7*o**2. Factor t(q).
-2*(q - 1)*(q + 1)**2/7
Let y(g) be the third derivative of 0*g - 3*g**2 - 1/100*g**5 + 0 - 9/10*g**3 - 3/20*g**4. Factor y(u).
-3*(u + 3)**2/5
Suppose -2*o + 5*l + 12 = -17, -5*l = -o + 27. Let h(k) be the first derivative of -2*k - 1 - k**o - 1/6*k**3. Factor h(w).
-(w + 2)**2/2
Let s = -10 + 10. Let -1/4*i**3 + s + 0*i**2 + 1/4*i = 0. What is i?
-1, 0, 1
Let l(j) = -2*j**3 - 20*j**2 + 38*j - 32. Let s(p) = 3*p**3 + 39*p**2 - 77*p + 65. Let u(o) = -7*l(o) - 4*s(o). Suppose u(z) = 0. Calculate z.
2, 3
Let f(p) be the first derivative of p**6/720 + p**5/240 + 4*p**3/3 + 7. Let z(i) be the third derivative of f(i). Factor z(s).
s*(s + 1)/2
Factor -41*d**2 + 11*d**3 - 8*d**3 + 44*d**2.
3*d**2*(d + 1)
Let q be -12*(-10)/(-45)*-40. Let m = 108 - q. Let -2/3*f + 0 - m*f**2 - 2/3*f**3 = 0. What is f?
-1, 0
Let m(k) be the third derivative of k**8/840 + k**7/525 - k**6/300 - k**5/150 + k**2. Factor m(o).
2*o**2*(o - 1)*(o + 1)**2/5
Find o such that -o - o**3 - 240*o**2 + 236*o**2 - 2*o = 0.
-3, -1, 0
Let r be (-32)/(-14) + 18/(-63). Suppose -1 - r = -y. Factor 1/4*d**y + 1/4 - 1/4*d - 1/4*d**2.
(d - 1)**2*(d + 1)/4
Let k(o) be the third derivative of -o**7/280 - o**6/160 + o**5/40 - 11*o**2. Factor k(m).
-3*m**2*(m - 1)*(m + 2)/4
Let i(h) be the third derivative of h**5/20 + h**4/4 + 19*h**2. Solve i(g) = 0.
-2, 0
Factor 442*j - 12*j**2 - 16*j**3 - 426*j + 9 + 7 - 4*j**4.
-4*(j - 1)*(j + 1)*(j + 2)**2
Let p(s) = s**2 - 4*s + 2. Let g be p(4). Factor 2*r**2 - 3*r**4 + g*r**3 - 5*r + 3*r + r**4.
-2*r*(r - 1)**2*(r + 1)
Let 2 - 2*r + 1 + 1 - 2*r**2 + 0 = 0. Calculate r.
-2, 1
Suppose 0*i = i - 2. Determine n, given that -i*n**2 - 2 + n + 3 + n**2 - n**3 + 0 = 0.
-1, 1
Let g(k) be the first derivative of -k**4/12 + 2*k**3/9 - 6. Find o such that g(o) = 0.
0, 2
Let z = 1820/253 + -132/2