-3*(q - 3)*(q - 1)*(q + 1)
Let s = 85/166 + -1/83. Let t(p) be the first derivative of s*p**2 - 1/4*p**3 - 3 - 1/4*p. Factor t(d).
-(d - 1)*(3*d - 1)/4
Suppose -45*s + 21 - 80*s + 20*s**2 - 3 + 12 = 0. Calculate s.
1/4, 6
Let u be -3 - -9 - (-1 + 2). Factor 7*r**5 + r - r**4 - r - 8*r**u.
-r**4*(r + 1)
Let c(n) be the third derivative of -1/84*n**4 - 1/7*n**3 + 0*n + 1/70*n**5 + 0 - 4*n**2 + 1/420*n**6. Factor c(m).
2*(m - 1)*(m + 1)*(m + 3)/7
Let k(y) be the first derivative of -y**6/60 + y**5/18 - y**4/18 - y**2/2 - 2. Let n(j) be the second derivative of k(j). Suppose n(i) = 0. Calculate i.
0, 2/3, 1
Let d be ((-7)/(-28)*0)/(-2). Suppose d + 3/2*z + 3/2*z**2 = 0. What is z?
-1, 0
Let q be 3/(-120)*4/(-6). Let d(t) be the third derivative of 0*t - 1/210*t**7 + 1/6*t**3 + t**2 + 1/12*t**4 + 0 + 0*t**5 - q*t**6. Factor d(f).
-(f - 1)*(f + 1)**3
Factor -2 - o**3 - o**2 + 0*o**3 + 2.
-o**2*(o + 1)
Let l = -16 - -13. Let m be (l/(-6)*6)/2. Let 3/2*r**2 - 3 + m*r = 0. Calculate r.
-2, 1
Let g(n) be the second derivative of -n**5/5 + n**3/2 - n**2/2 - 3*n. Factor g(r).
-(r + 1)*(2*r - 1)**2
Suppose 10*q + 29 = 49. Suppose -1/3*j**3 - q*j**2 - 4*j - 8/3 = 0. What is j?
-2
Determine z so that 2/3*z**4 + 0*z**2 + 0 + 0*z**3 + 0*z = 0.
0
Let p(b) = -76*b**3 - 2*b**2 - 3*b - 2. Let t be p(-1). Solve -160*u**2 - 113 + 7*u - t*u + 105 - 64*u**3 = 0 for u.
-2, -1/4
Suppose -2*j + 0*j + 6 = 0. Factor -g - 4*g**2 + 3*g**3 + 3*g + 2*g**3 - j*g**3.
2*g*(g - 1)**2
Let f(w) be the third derivative of 0*w - 2*w**2 + 0*w**3 + 1/180*w**5 + 1/36*w**4 - 1/360*w**6 + 0. Suppose f(s) = 0. Calculate s.
-1, 0, 2
Solve -13*n**2 - 57*n - 25*n**2 + 53*n = 0 for n.
-2/19, 0
Let y be (-10)/(-3) - (-2)/3. Factor 3*w - 6*w**2 + 3*w**y - 6*w - 3*w**3 + 3*w.
3*w**2*(w - 2)*(w + 1)
Let a be 5/30*((-6)/27 - -2). Let l(y) be the second derivative of a*y**4 + 4*y + 8/27*y**3 + 1/9*y**2 + 0. Suppose l(h) = 0. What is h?
-1/4
Factor -x - 1/4*x**2 - 3/4.
-(x + 1)*(x + 3)/4
Let q = -3 + 6. Suppose 113*w**2 + 27*w**q + 25*w**4 + 16 + 96*w + 71*w**2 + 93*w**3 = 0. Calculate w.
-2, -2/5
Let u(j) be the third derivative of -1/180*j**5 + 0*j + 2*j**2 + 0 - 1/72*j**4 + 0*j**3. Factor u(o).
-o*(o + 1)/3
Suppose -3*k + 3*v - v = 22, 4 = -4*v. Let c = 11 + k. Solve 2/5*x**2 - 2/5*x**5 - 6/5*x**c + 6/5*x**4 + 0*x + 0 = 0 for x.
0, 1
Let f(b) = -b + 2. Let o be f(-3). Let u(h) be the second derivative of -1/84*h**7 - 3*h + 0 - 1/20*h**6 - 3/40*h**o + 0*h**2 - 1/24*h**4 + 0*h**3. Factor u(c).
-c**2*(c + 1)**3/2
Let o(p) be the second derivative of -4/5*p**6 - 3/2*p**2 + 7/2*p**3 + 8*p - 9/2*p**4 + 0 + 3*p**5. Factor o(r).
-3*(r - 1)*(2*r - 1)**3
Let a(s) be the second derivative of -s**6/1800 + s**5/200 + s**3/6 + 8*s. Let g(l) be the second derivative of a(l). Factor g(w).
-w*(w - 3)/5
Let n(d) be the third derivative of d**6/8 + d**5/60 - 5*d**4/8 - 5*d**3/2 + d**2. Let h(m) = 7*m**3 + m**2 - 7*m - 7. Let j(r) = -7*h(r) + 3*n(r). Factor j(l).
-4*(l - 1)*(l + 1)**2
Solve 0*n + 1/3*n**4 + 0 - 1/3*n**3 - 2/3*n**2 = 0.
-1, 0, 2
Let o(d) = d + 7. Let c be o(-5). Factor 4*g + g**2 - 2*g**3 - 1 + 0*g**3 - c*g**3.
-(g - 1)*(g + 1)*(4*g - 1)
Let l(x) = 9*x**2 - 3*x + 35. Let f(b) = -5*b**2 + 2*b - 18. Let t(z) = -11*f(z) - 6*l(z). Factor t(p).
(p - 6)*(p + 2)
Let k(x) = -x**3 + 5*x**2 - 4*x + 5. Suppose v - 3*v - 10 = 0, 4*f + v = -1. Let m(g) = -g**2 + g - 1. Let s(i) = f*k(i) + 5*m(i). Solve s(j) = 0.
-1, 0, 1
Suppose 2*m = -2*m + 20. Factor 9*u**3 - 6*u**2 - u + m*u**3 - 2 + 3*u**5 + 3 - 11*u**4.
(u - 1)**4*(3*u + 1)
Let l(j) be the first derivative of -j**4/2 - 2*j**3 + j**2 + 6*j - 5. Factor l(o).
-2*(o - 1)*(o + 1)*(o + 3)
Let u(t) = t**2 - 24*t. Let m(z) = -2*z**2 + 24*z. Let w(b) = 4*m(b) + 5*u(b). Factor w(g).
-3*g*(g + 8)
Let o be (-5)/(10/6) + 6. Determine q, given that 6*q - 2*q**o - 26*q**2 - 4*q + 29*q**2 = 0.
-1/2, 0, 2
Let n(k) be the third derivative of 1/16*k**4 + k**2 + 1/24*k**5 + 0 - 1/6*k**3 + 0*k. Suppose n(i) = 0. What is i?
-1, 2/5
Let w(q) be the second derivative of q**4/18 + 10*q**3/9 + 25*q**2/3 + q. Determine h so that w(h) = 0.
-5
Let w(p) = p**3 + 4*p**2 + 3*p + 4. Let j be w(-3). Let d(v) be the first derivative of -3*v**2 + 3/2*v**4 - 1 - j*v + 4/3*v**3. Determine o so that d(o) = 0.
-1, -2/3, 1
Let w(o) = -o**2 + 6*o + 75. Let n be w(-6). Factor -3/7*p - 9/7*p**n + 3/7 - 15/7*p**2.
-3*(p + 1)**2*(3*p - 1)/7
Factor 2/3*x**2 - 8/3*x - 10/3.
2*(x - 5)*(x + 1)/3
Let c be 2 + (1 - (-1 + 1)). Suppose c*u = 2*u. Factor -1/2*h**3 + 0*h - 1/2*h**4 + u + 1/2*h**2 + 1/2*h**5.
h**2*(h - 1)**2*(h + 1)/2
Let c(y) be the second derivative of -y**6/195 - y**5/65 - y**4/78 + 2*y. Let c(l) = 0. What is l?
-1, 0
Factor -4*n**3 + 20*n**2 - n**3 - 5*n**4 - 20*n + 10*n**3.
-5*n*(n - 2)*(n - 1)*(n + 2)
Let y be 1*(-1)/2 - 15/(-30). Factor -u**5 + 1/3*u**4 + 0 + y*u + 0*u**2 + 2/3*u**3.
-u**3*(u - 1)*(3*u + 2)/3
Suppose 5*x**4 - 5 + 10*x**3 - 17*x + 0*x**3 + 7*x = 0. Calculate x.
-1, 1
Suppose 2*l - 33 = -29. Let o be l - (0/(-4))/(-1). Determine d, given that -1/2*d**4 + 0*d**o + d**3 + 0*d + 0 = 0.
0, 2
Let r(f) = f**2 + f - 1. Let y(v) = v**3 - v**2 + v + 9. Let p(g) = -6*r(g) - y(g). Factor p(x).
-(x + 1)**2*(x + 3)
Suppose s = -4*s. Suppose k + s = 2. Factor 3*c**k + 4 + 0 - 12*c + 8.
3*(c - 2)**2
Let y = -145 + 729/5. Determine o so that -2/5*o**5 + 0*o - 2/5*o**3 + y*o**4 + 0*o**2 + 0 = 0.
0, 1
Let h be (2/(-9))/1 + 116/36. Factor 0 - 1/6*d + 0*d**2 + 1/6*d**h.
d*(d - 1)*(d + 1)/6
Let n(b) be the third derivative of b**8/2520 - b**7/420 + b**6/180 - b**5/12 - 2*b**2. Let g(c) be the third derivative of n(c). Determine v so that g(v) = 0.
1/2, 1
Let w(n) be the first derivative of n**5/15 - 9*n**2/2 - 1. Let g(f) be the second derivative of w(f). Factor g(b).
4*b**2
Let p(c) be the third derivative of -2/3*c**3 + 0 + 0*c + 1/30*c**5 + 1/12*c**4 - 2*c**2. Find r such that p(r) = 0.
-2, 1
Let x be ((-126)/35 - -4)/((-1)/(-5)). Suppose -4*y - y = 0. Factor -2/3*m**x + 0*m + y.
-2*m**2/3
Let u = -8 - -21. Let g(q) = -2 - 6*q**2 - 7*q**2 + 2*q**2. Let m(y) = -5*y**2 - 1. Let v(w) = u*m(w) - 6*g(w). Solve v(k) = 0.
-1, 1
Let l(q) = 3*q**2 + 4*q + 2. Let s(d) = d**2. Let g(j) = -2*l(j) + 2*s(j). Factor g(y).
-4*(y + 1)**2
Let z be -2 + 33/12 + 9/(-36). Let a(t) be the first derivative of 0*t - 1 + z*t**4 - t**2 + 0*t**3. Factor a(m).
2*m*(m - 1)*(m + 1)
Let y be (-6)/(-10) + (-209)/665. Solve 0*b + 2/7*b**2 + y*b**5 + 0 - 2/7*b**3 - 2/7*b**4 = 0.
-1, 0, 1
Let w(v) be the first derivative of v**5/120 - v**4/48 + v**2/2 - 1. Let i(u) be the second derivative of w(u). Solve i(s) = 0 for s.
0, 1
Let u(t) be the second derivative of 2*t**7/21 + 2*t**6/15 - t**5/5 - t**4/3 + 22*t. Factor u(l).
4*l**2*(l - 1)*(l + 1)**2
Factor -4 - 11*h - 3/2*h**3 - 17/2*h**2.
-(h + 1)*(h + 4)*(3*h + 2)/2
Let m = -5 - -9. Factor l**5 - l**m + l - 2*l**2 - 2*l**3 + 2*l**4 + 0 + 4 - 3.
(l - 1)**2*(l + 1)**3
Let g = 11/46 + 6/23. Factor -1/2*z + 0 + 1/2*z**2 - g*z**4 + 1/2*z**3.
-z*(z - 1)**2*(z + 1)/2
Suppose -12 - 8 = -5*l. Suppose 16 = 5*x - 2*u, -x = l*x + u - 22. Determine w, given that -4*w**3 + x*w**3 + 6*w**5 + 14*w**3 + 16*w**4 + 4*w**2 = 0.
-1, -2/3, 0
Let d(i) be the third derivative of i**7/945 - i**6/270 - 2*i**5/135 + 2*i**4/27 - 17*i**2. Factor d(w).
2*w*(w - 2)**2*(w + 2)/9
Factor -2/3*b**2 - 2/3*b - 2/9 - 2/9*b**3.
-2*(b + 1)**3/9
Let n(g) = -5*g**5 + 25*g**4 - 42*g**3 + 38*g**2 - 10*g. Let s(h) = 35*h**5 - 175*h**4 + 295*h**3 - 265*h**2 + 70*h. Let m(q) = 20*n(q) + 3*s(q). Factor m(r).
5*r*(r - 2)*(r - 1)**3
Let o(g) = -g**5 + g**3 + g**2 - g + 1. Let t(i) = 3*i**5 + i**4 - 3*i**3 - 5*i**2 + 4*i - 4. Let n = -2 - -1. Let b(j) = n*t(j) - 4*o(j). Factor b(r).
r**2*(r - 1)**2*(r + 1)
Let i be (-11 + 5)*((-93)/45 + 2). Factor 0*p - 2/5*p**2 + 0 + i*p**3.
2*p**2*(p - 1)/5
Factor -2/3 + 2/3*y**2 + 0*y.
2*(y - 1)*(y + 1)/3
Let i(u) = u**2 - 8*u - 18. Let p be i(10). Solve -2/3*y**p - 2/3 - 4/3*y = 0.
-1
Let d(z) = 10*z**2 + 25*z + 34. Let w(k) = -3*k**2 - 8*k - 11. Let g(i) = -2*d(i) - 7*w(i). Factor g(y).
(y + 3)**2
Let c(k) be the third derivative of k**6/24 - k**5/3 + 25*k**4/24 - 5*k**3/3 + 8*k**2. Factor c(p).
5*(p - 2)*(p - 1)**2
Let t(y) be the first derivative of -8/5*y**5 + 0*y**3 + 0*y + 2 + 0*y**