f(c). Let j be b(7). Factor 4/3*l**3 - 2/3*l**2 + 0*l - 2/3*l**j + 0.
-2*l**2*(l - 1)**2/3
Factor 3*r + r**3 - 2*r**5 + r**3 - 3*r.
-2*r**3*(r - 1)*(r + 1)
Let a(g) be the first derivative of g**8/1680 - g**7/280 + g**6/360 + g**5/40 - g**4/12 + 2*g**3/3 - 1. Let w(z) be the third derivative of a(z). Factor w(k).
(k - 2)*(k - 1)**2*(k + 1)
Let j(r) be the first derivative of r**6/63 - r**4/42 - 23. Factor j(u).
2*u**3*(u - 1)*(u + 1)/21
Factor -1/2*i**2 + 1/4*i**3 + 0 + 1/4*i.
i*(i - 1)**2/4
Let k(m) be the first derivative of -1/30*m**5 + 1/6*m**2 + 4 + 1/6*m + 0*m**3 - 1/12*m**4. What is f in k(f) = 0?
-1, 1
Let -1/3*u - 1/3*u**2 + 2/3 = 0. What is u?
-2, 1
Solve -2*a**5 + a**5 + 0*a**5 + a - 2*a**3 + 2*a**5 = 0.
-1, 0, 1
Let t = -88 - -91. Factor -9/2*f + 0*f**2 - t + 3/2*f**3.
3*(f - 2)*(f + 1)**2/2
Let c(n) be the third derivative of n**5/80 + 11*n**4/32 + 5*n**3/4 + 15*n**2. Factor c(z).
3*(z + 1)*(z + 10)/4
Suppose -2*j = -2*k, -k + 14 = 3*j + 3*k. Let -j*g**2 + 6 + 4*g**2 - 6 - 2*g = 0. Calculate g.
0, 1
Determine t so that -2/7 - 18/7*t**2 - 8/7*t**3 - 12/7*t = 0.
-1, -1/4
Find w such that 5/2 - 55/2*w + 25*w**2 = 0.
1/10, 1
Let t = 2281/24 + -95. Let j(o) be the third derivative of -1/40*o**6 + 0*o**3 + 0 - 1/20*o**5 + 3*o**2 - t*o**4 - 1/210*o**7 + 0*o. Factor j(g).
-g*(g + 1)**3
Let r(x) = -5*x**4 - 4*x**3 - 4*x**2 - 5*x. Let u(h) = 2*h**4 + 2*h**3 + 2*h**2 + 2*h. Let a(k) = -4*r(k) - 9*u(k). Factor a(j).
2*j*(j - 1)**2*(j + 1)
Let i(k) be the second derivative of k**6/600 + k**2/2 + 2*k. Let p(m) be the first derivative of i(m). Solve p(j) = 0 for j.
0
Suppose -3*n + 6 = -2*s, n - 2 = 3*s - 0. Suppose 9 = n*k + 1. Let 8*m + 10*m**2 - k - 3*m**2 + 4*m = 0. Calculate m.
-2, 2/7
Suppose -2*t = -253 + 247. Let v be 2/(-7) - (-13)/21. Find i such that 1/3*i - 2/3*i**2 - v*i**5 + 0*i**t + 2/3*i**4 + 0 = 0.
-1, 0, 1
Suppose 2*t = -0*d + 6*d, 0 = 5*d - 2*t. Factor d + i**2 - 2/3*i - 1/3*i**3.
-i*(i - 2)*(i - 1)/3
Let w(o) be the first derivative of o**5/270 - 2*o**4/27 + 16*o**3/27 - 4*o**2 + 7. Let t(v) be the second derivative of w(v). Factor t(x).
2*(x - 4)**2/9
Suppose q - 3*r + 11 = -q, q + r + 13 = 0. Let d be (q/(-4))/((-10)/(-20)). Let 1/3*v**d + 0 + 0*v + 0*v**2 + 2/3*v**4 + 1/3*v**3 = 0. What is v?
-1, 0
Factor 8*n**2 - 4*n**3 + 6*n**3 - 4*n**2 - 2*n**4 + 0*n**2.
-2*n**2*(n - 2)*(n + 1)
Let k(n) be the second derivative of n**6/21 + 2*n**5/35 - n**4/7 - 4*n**3/21 + n**2/7 + 35*n. Suppose k(v) = 0. What is v?
-1, 1/5, 1
Let s(t) be the second derivative of -t**7/840 + t**5/40 - t**4/12 + t**3/6 + 3*t. Let i(o) be the second derivative of s(o). Factor i(q).
-(q - 1)**2*(q + 2)
Let n(a) = -2*a**2 + 32*a + 3. Let c be n(16). Let r(i) be the first derivative of 1/5*i**5 - 3 + 0*i**2 + 0*i + 1/4*i**4 + 0*i**c. Factor r(f).
f**3*(f + 1)
Let t(q) = 5*q**3 + 7*q**2 + 2*q + 6. Let p = -3 - 3. Let i = -78 + 73. Let s(g) = -4*g**3 - 6*g**2 - 2*g - 5. Let r(f) = i*t(f) + p*s(f). Factor r(a).
-a*(a - 2)*(a + 1)
Let p(c) be the second derivative of c**5/5 - 5*c**4/12 + c**3/6 - c + 10. Let p(r) = 0. Calculate r.
0, 1/4, 1
Let j(a) be the first derivative of 2/5*a**2 + 2/15*a**3 + 0*a - 2/25*a**5 + 3 - 1/5*a**4. Factor j(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/5
Let d = 18 - 13. Suppose o + 2*z = 3*z - 1, o - 9 = -z. Factor -2/5*l**o + 0 + 1/5*l**3 + 0*l + 0*l**2 + 1/5*l**d.
l**3*(l - 1)**2/5
Factor -3/2*q**2 + 1/2*q**3 + 0*q + 2.
(q - 2)**2*(q + 1)/2
Factor 0*u**2 + 0*u - 2/3*u**4 + 0 + 2/21*u**3.
-2*u**3*(7*u - 1)/21
Let i be -3 - -3 - ((-3 - 2) + 2). Suppose 6*q**4 - 9/4*q - 1/4 + 4*q**5 - 23/4*q**2 - 7/4*q**i = 0. What is q?
-1, -1/4, 1
Let n(u) = -2*u + 3*u**3 + 6 + 4*u + 4*u**4 + u + 2*u. Let h(d) = 5*d**4 + 3*d**3 + 6*d + 7. Let z(l) = 6*h(l) - 7*n(l). Determine p, given that z(p) = 0.
-1/2, 0, 1
Let z = -113 - -113. Let p(o) be the second derivative of 1/80*o**5 + 0*o**6 + z - 2*o + 0*o**2 - 1/168*o**7 + 0*o**4 + 0*o**3. Factor p(k).
-k**3*(k - 1)*(k + 1)/4
Let n(l) = l**2 - 10*l + 7. Let w(s) = 2*s**2 - 10*s + 6. Let m(p) = -p + 12. Let v be m(9). Let r(d) = v*w(d) - 2*n(d). Factor r(g).
2*(g - 2)*(2*g - 1)
Let -1/5*c**3 + 0 + 0*c**2 + 1/5*c = 0. What is c?
-1, 0, 1
Let j(d) = d**2 - 7*d + 3. Let o be j(7). Suppose 7*w = o*w + 8. Factor w*m - m**3 - 2*m.
-m**3
Let l(y) = 6*y**3 + 4*y**2 - 9*y. Let d(c) = -c**3 - c**2 + c. Let p(o) = -35*d(o) - 5*l(o). Find w such that p(w) = 0.
-2, -1, 0
Factor 2*x**5 - 3*x**5 + 140*x**3 + 3*x**4 - 140*x**3 - 4*x**2.
-x**2*(x - 2)**2*(x + 1)
Factor -16/5 - 16/5*v - 4/5*v**2.
-4*(v + 2)**2/5
Let f = -80 - -83. Factor 1/4*a**f + 1/4*a**4 - 1/4*a + 0 - 1/4*a**2.
a*(a - 1)*(a + 1)**2/4
Let j(z) be the third derivative of -z**7/560 - z**6/720 + z**5/80 + z**4/48 - z**3/2 + z**2. Let q(d) be the first derivative of j(d). Factor q(f).
-(f - 1)*(f + 1)*(3*f + 1)/2
Let a(k) be the second derivative of k**5/50 - k**3/5 - 2*k**2/5 - 17*k. Factor a(b).
2*(b - 2)*(b + 1)**2/5
Let g(q) = -8*q**4 - 12*q**3 + 32*q**2 - 8*q + 4. Let c(b) = -9*b**4 - 11*b**3 + 31*b**2 - 8*b + 3. Let l(v) = 4*c(v) - 3*g(v). Solve l(d) = 0.
-2, 0, 1/3, 1
Let v(h) = -h + 1. Let b be v(1). Factor 5*r + 22*r**4 - 6*r**3 + b*r**5 - 2*r**2 + 2*r**5 - 20*r**4 - r.
2*r*(r - 1)**2*(r + 1)*(r + 2)
Let y = 36 + -33. Factor 32/3*j**4 + 22/3*j**y + 14/3*j**5 + 4/3*j**2 + 0*j + 0.
2*j**2*(j + 1)**2*(7*j + 2)/3
Let m(c) be the second derivative of c**6/15 + c**5/10 - c**4/6 - c**3/3 + 4*c. Factor m(y).
2*y*(y - 1)*(y + 1)**2
Let a be (-6)/(-10) + 52/5. What is k in -8 + 4*k**3 + 8 - 16 + 21*k + a*k - 20*k**2 = 0?
1, 2
Let b(n) be the second derivative of n**5/30 - n**3/9 + 6*n. Factor b(v).
2*v*(v - 1)*(v + 1)/3
Suppose 6*y - 3*y + g = 13, y = 2*g + 2. Suppose 3*r**4 - 4*r**y - 1 + r**2 + r**2 + 0*r**4 = 0. Calculate r.
-1, 1
Let c be -2 - (46 - 0/(-3)). Let q = 145/3 + c. Factor q*y**3 + 0*y + 0 + 2/3*y**2.
y**2*(y + 2)/3
Let p(b) = 13*b**2 + 10*b + 7. Let k(t) = 9*t**2 + 7*t + 5. Let n(g) = -7*k(g) + 5*p(g). Factor n(m).
m*(2*m + 1)
Let i(l) = -l**3 + 3*l**2 - 2*l + 3. Let n = 14 + -12. Let b be i(n). Suppose 0 - 1/3*k**4 + 1/3*k**2 + 0*k + 1/3*k**5 - 1/3*k**b = 0. What is k?
-1, 0, 1
Suppose -3*s = 4*q - 4*s - 11, -11 = q - 3*s. Suppose -4*y - 5 = -4*w - y, q*w - 9 = -y. Find n such that -1/3*n**4 + 0 + 1/3*n**w + 0*n**3 + 0*n = 0.
-1, 0, 1
Let j(g) be the third derivative of g**8/50400 + g**7/12600 - g**6/900 + g**5/60 - 3*g**2. Let q(h) be the third derivative of j(h). Solve q(s) = 0 for s.
-2, 1
Let u(k) = -14. Let h(a) = -a + 1. Let p(c) = -2*h(c) + u(c). Let x be p(8). Factor -1/5*q**3 + 0 + x*q**2 + 0*q + 1/5*q**4.
q**3*(q - 1)/5
Let i(w) be the second derivative of w**6/1440 + w**5/120 + w**4/24 - 2*w**3/3 + w. Let k(v) be the second derivative of i(v). Let k(o) = 0. Calculate o.
-2
Suppose 3*y + 0 = 6. Solve i + 3*i**2 - 3*i - i**y - i**2 = 0 for i.
0, 2
Let 2*b**2 + 0 + b + 5/4*b**3 + 1/4*b**4 = 0. Calculate b.
-2, -1, 0
Let t(w) be the third derivative of w**7/70 + w**6/40 - 3*w**5/20 - w**4/8 + w**3 + 17*w**2. Factor t(n).
3*(n - 1)**2*(n + 1)*(n + 2)
Let a be 3/(-12) - 5/(-20). Factor 1/4*g**5 + 0*g**2 + a*g**3 - 1/4*g**4 + 0 + 0*g.
g**4*(g - 1)/4
Let z(a) be the third derivative of -a**6/120 + a**4/24 + a**3/6 - 6*a**2. Let f(x) = 3*x**3 + 3*x**2 - 6*x - 6. Let q(y) = -f(y) - 6*z(y). Factor q(p).
3*p**2*(p - 1)
Let c = -7 - -13. Let h(x) = x**2 + x - 1. Let p(i) = 3*i**3 + 3*i**2 + 6. Let k(a) = c*h(a) + p(a). Factor k(q).
3*q*(q + 1)*(q + 2)
Let p(d) be the second derivative of -d**4/6 - 23*d**3/21 - 6*d**2/7 + 6*d. Suppose p(m) = 0. Calculate m.
-3, -2/7
Factor 1/2*w**2 + 5/4*w + 0.
w*(2*w + 5)/4
Let g(m) be the third derivative of -1/6*m**3 + 0*m + 4*m**2 + 1/120*m**6 + 1/60*m**5 - 1/24*m**4 + 0. Solve g(a) = 0.
-1, 1
Let z(y) be the first derivative of y**6/1800 - y**5/600 + 2*y**3/3 + 2. Let i(l) be the third derivative of z(l). Determine d so that i(d) = 0.
0, 1
Let u(f) be the third derivative of -f**7/315 - f**6/90 - f**5/90 + 6*f**2 + 1. Factor u(d).
-2*d**2*(d + 1)**2/3
Determine m so that -2/3*m**2 + 0*m + 1/3*m**3 + 0 = 0.
0, 2
Suppose -3*t - 67*u = -64*u, 0 = 2*u. Let -3/2*m**2 + t + 3/2*m**3 + 0*m = 0. Calculate m.
0, 1
Suppose 7*m - 20 = -6. Let q = -8 - -8. Factor 1/2*n - 1/2*n**3 - 1/2*n**m + q + 1/2*n**4.
n*(n - 1)**2*(n