c - 1)*(9*c + 2)
Let a(s) be the first derivative of -4*s**5/35 + 4*s**4/7 - 20*s**3/21 + 4*s**2/7 + 17. Factor a(b).
-4*b*(b - 2)*(b - 1)**2/7
Suppose -2*t - t = 0. Suppose 0 = -f - t + 3. Find d such that -1 - 1 + 50*d**5 - 46*d**2 + 10 + 38*d**f - 16*d - 8*d**4 + 118*d**4 = 0.
-1, 2/5
Let p = -3/4 - -17/12. Let m = 7 + -5. Find x such that p*x**3 - 2/3 + 2/3*x**m - 2/3*x = 0.
-1, 1
Suppose -135 + 81 = -9*p. Find o, given that -16/7*o**2 + 2*o**5 - 4/7*o**4 - p*o**3 + 8/7*o + 0 = 0.
-1, 0, 2/7, 2
Let j(r) = -r**3 - r**2. Let g(m) = -8*m**3 - 17*m**2 - 4*m. Let w(q) = 2*g(q) - 2*j(q). Factor w(v).
-2*v*(v + 2)*(7*v + 2)
Let u(z) be the third derivative of 1/132*z**4 + 0 + 1/330*z**5 + 0*z - 2/33*z**3 + 3*z**2. Find j such that u(j) = 0.
-2, 1
Let m(j) = -j**2 - 4*j - 1. Suppose -2*o - 5 + 1 = 4*w, -4*w - 4*o = 0. Let r be m(w). Factor 3*s**2 - r*s**2 + 4*s**2 + 2*s**3.
2*s**2*(s + 2)
Suppose -50 = -3*o + 5*o - 5*w, -3*o - 75 = -2*w. Let c be 2 + -1 - (-5)/o. What is u in 2/5*u**4 + c*u**3 + 2/5*u**2 + 0 + 0*u = 0?
-1, 0
Let d = 10 - 7. Factor 3*q**2 + d - 2*q**3 + 6*q - 7 - 3*q**2.
-2*(q - 1)**2*(q + 2)
Solve 2/7*o**3 + 0*o**2 + 0*o - 4/7*o**4 + 0 + 2/7*o**5 = 0.
0, 1
Let c(k) = -11*k**3 - 37*k**2 - 95*k - 49. Let y(q) = -5*q**3 - 19*q**2 - 47*q - 25. Let i(n) = 2*c(n) - 5*y(n). Suppose i(u) = 0. Calculate u.
-3, -1
Let b be (1*1/(-3))/((-2)/12). Factor 2/3*l**4 + 5/3*l**3 - 1/3*l + l**b - 1/3.
(l + 1)**3*(2*l - 1)/3
Let c(t) be the second derivative of 0*t**3 + 0 + 2*t + 0*t**2 + 1/24*t**4 - 3/80*t**5 - 1/24*t**6. Solve c(w) = 0.
-1, 0, 2/5
Let t = -114 - -118. Let d(r) be the second derivative of 1/12*r**5 + 0 + 1/30*r**6 + 0*r**2 + 2*r + 0*r**3 + 1/18*r**t. Factor d(v).
v**2*(v + 1)*(3*v + 2)/3
Let v be 0*(-2)/(-8)*4. Factor -2/7*a**4 + v*a + 2/7*a**2 + 0 + 0*a**3.
-2*a**2*(a - 1)*(a + 1)/7
Find n such that -8/9*n**4 - 8/9*n + 8/9*n**2 + 0 + 2/9*n**5 + 2/3*n**3 = 0.
-1, 0, 1, 2
Let d(g) be the first derivative of -2*g**3/15 - 2*g**2 - 10*g - 49. Let d(j) = 0. What is j?
-5
Let s be (-7 + 7)*5/15. Determine r, given that s*r**3 + 2/7*r - 2/7*r**5 - 4/7*r**4 + 4/7*r**2 + 0 = 0.
-1, 0, 1
Let v(r) = 3*r**5 - 24*r**4 - 36*r**3 - 15*r**2 - 6*r - 9. Let s(i) = i**5 - 12*i**4 - 18*i**3 - 8*i**2 - 3*i - 4. Let b(z) = -9*s(z) + 4*v(z). Factor b(o).
3*o*(o + 1)**4
Let z(p) be the third derivative of 27*p**7/70 + 3*p**6/10 - 77*p**5/60 - 3*p**4/2 - 2*p**3/3 + 4*p**2. Factor z(d).
(d - 1)*(d + 1)*(9*d + 2)**2
Let -16*a + 108 + 9*a - 29*a + 3*a**2 = 0. Calculate a.
6
Let o = 10 + -8. Let a(h) = -h**3 + 7*h**2 - 7*h + 9. Let i be a(6). Determine q so that 4*q**3 - o*q**3 - 3*q**i = 0.
0
Let j(t) be the first derivative of -t**6/24 + 3*t**5/20 - t**4/8 - t**3/6 + 3*t**2/8 - t/4 + 16. Factor j(p).
-(p - 1)**4*(p + 1)/4
Let s(u) be the first derivative of 2*u**3/3 + 3*u**2 + 4*u + 44. Factor s(d).
2*(d + 1)*(d + 2)
Let o(p) be the first derivative of 0*p**5 + 0*p**3 + 0*p + 1 + 1/240*p**6 - 1/2*p**2 - 1/48*p**4. Let x(z) be the second derivative of o(z). Factor x(w).
w*(w - 1)*(w + 1)/2
Let b(n) be the second derivative of n**5/210 + n**4/84 - n**2/2 - n. Let q(u) be the first derivative of b(u). Factor q(d).
2*d*(d + 1)/7
Let h(z) be the first derivative of 7*z**5/10 + 19*z**4/8 - z**3 + 8. Factor h(o).
o**2*(o + 3)*(7*o - 2)/2
Let a(p) = -p**2 - 10*p - 8. Let b be a(-9). Let w be -3*((-15)/9 + b). Solve 4*v + 8 + w*v + 2*v**2 + 2*v = 0.
-2
Solve -3/5*o**3 + 3/5*o**4 + 0 + 3/5*o - 3/5*o**2 = 0 for o.
-1, 0, 1
Factor -2/3*k**2 + 2/3*k**4 + 2/3*k**3 - 2/3*k + 0.
2*k*(k - 1)*(k + 1)**2/3
Factor -1/7*w**4 + 8/7*w + 4/7 - 5/7*w**3 + 1/7*w**5 + 1/7*w**2.
(w - 2)**2*(w + 1)**3/7
Let o be -4 + -2 + (-4 - (-12005)/1200). Let y(u) be the third derivative of 0 - 4*u**2 + 0*u + o*u**5 + 1/24*u**3 + 1/48*u**4. Factor y(r).
(r + 1)**2/4
Let u(l) be the second derivative of -28*l**3 + 6*l - 49*l**4 - 343/10*l**5 + 0 - 8*l**2. Factor u(w).
-2*(7*w + 2)**3
Find c such that -13*c**3 + 32*c + 32 - 16*c**2 + 2640*c**4 - 2654*c**4 - 19*c**3 - 2*c**5 = 0.
-2, 1
Let y be 11 + (1 - 2/2). Let z = 11 - y. Factor -2/9 + 2/9*o**2 + z*o.
2*(o - 1)*(o + 1)/9
Let y(p) be the second derivative of p**7/11340 - p**6/1620 + p**5/540 + p**4/4 - 3*p. Let i(f) be the third derivative of y(f). Let i(b) = 0. What is b?
1
Let n = 71 + -68. Factor -1/3*d**2 + 0*d + 1/3*d**5 + 0 - d**4 + d**n.
d**2*(d - 1)**3/3
Let t(o) be the second derivative of -o**5/80 + o**3/8 + o**2/4 + 4*o. Let t(g) = 0. Calculate g.
-1, 2
Let f be (3 + 1 + -3)*(6 - 3). Find g such that -1/3 - g - g**2 - 1/3*g**f = 0.
-1
Let b be (8/100)/((-144)/(-20)). Let p(m) be the third derivative of -1/36*m**4 + 1/9*m**3 + 1/180*m**6 + 0 - b*m**5 - 2*m**2 + 0*m. Factor p(v).
2*(v - 1)**2*(v + 1)/3
Suppose 0 = -30*h - 40 + 100. Factor 1/2*g**3 + 1/2*g - g**h + 0.
g*(g - 1)**2/2
Let x(f) be the third derivative of -f**6/100 + 7*f**5/150 - f**4/12 + f**3/15 - 8*f**2. Let x(b) = 0. What is b?
1/3, 1
Let b be (2 + -3)/(1/(-13)). Factor -7 + b + h - 5 - h**2 - h**3.
-(h - 1)*(h + 1)**2
Suppose 91 = 5*n - f, -n = -f - 0*f - 19. Let b be n/24 + 0/1. Suppose b*q**2 + 0 + 0*q + 3/4*q**3 = 0. What is q?
-1, 0
Suppose 5*t - 7 = -v, 2*v - 4*t + 14 = 7*v. Let g be (v + -2 + 1)*2. Factor 0 - 10*h + 10*h - g + 2*h**2.
2*(h - 1)*(h + 1)
Let z be (4/(-2))/(2/(-2)). Let n(y) be the first derivative of -y**2 - 1 + 2/5*y**5 - 3/2*y**4 + z*y**3 + 0*y. Factor n(d).
2*d*(d - 1)**3
Let k(i) = i**3 + 2*i**2 - 4*i - 1. Let y be 3/1*(0 + -1). Let m be k(y). Factor -j**3 + m - 2 + j**2.
-j**2*(j - 1)
Let l(c) = -4*c**4 - 5*c**3 + 3*c**2 + 2*c + 1. Let h(k) = k**4 + k**3 - k**2. Let m(z) = -6*h(z) - 2*l(z). Factor m(q).
2*(q - 1)*(q + 1)**3
Suppose -4*u + c = -9*u + 8, 0 = 2*u - c - 6. Suppose u*g = -2*g. Determine p, given that g - 2/3*p**2 - 2/3*p = 0.
-1, 0
Let j(l) = -17*l**2 + 71*l - 139. Let c(p) = -6*p**2 + 24*p - 46. Let f(s) = 11*c(s) - 4*j(s). Factor f(n).
2*(n - 5)**2
Let q(v) be the first derivative of v**6/14 + 3*v**5/5 + 57*v**4/28 + 25*v**3/7 + 24*v**2/7 + 12*v/7 - 8. Suppose q(i) = 0. Calculate i.
-2, -1
Let r(f) = f. Let l be r(-3). Let d be 3 + 1 + (l - -2). Determine k, given that d*k - 3 - 4*k**2 + 4*k**2 + 6*k**2 = 0.
-1, 1/2
Let b(j) be the third derivative of 0 - 1/180*j**5 - j**2 + 1/1008*j**8 + 0*j**4 - 1/360*j**6 + 0*j**3 + 0*j + 1/630*j**7. Factor b(g).
g**2*(g - 1)*(g + 1)**2/3
Let r(l) be the second derivative of 5*l**4/4 + 35*l**3/6 - 15*l**2 - 22*l. Factor r(o).
5*(o + 3)*(3*o - 2)
Let n(f) = -f**2 - 1. Let k(s) = -2*s**2 + s + 1. Let d = 0 + 5. Suppose 2*l - 4*t - 3 = 3, 4*t - 1 = -d*l. Let u(w) = l*k(w) - n(w). Factor u(q).
-(q - 2)*(q + 1)
Let d(a) be the third derivative of a**7/1080 - a**6/1080 - a**4/6 - 4*a**2. Let s(f) be the second derivative of d(f). Factor s(c).
c*(7*c - 2)/3
Let h be 3/(-4) + 1/(-4). Let x = h + 3. Factor -2 + 7*v**3 + 3*v**x - 3*v + 0 - v**4 + 4*v**4.
(v + 1)**3*(3*v - 2)
Suppose -2/15*w**2 - 2/3*w + 4/5 = 0. What is w?
-6, 1
Let d = 19 + -17. Solve -4*r**2 - 27 - 7*r**2 + 11*r**2 - 18*r - 3*r**d = 0 for r.
-3
Let y(m) = 5*m**3 + 9 - 4*m**3 - 7 - 4*m + 3*m - m**2. Let o be y(0). Factor -2/3*x**o + 1/3*x - 1/3*x**3 + 2/3.
-(x - 1)*(x + 1)*(x + 2)/3
Let b(v) = -4*v**4 + 6*v**3 + 4*v**2 - 6. Suppose -3*s + 21 - 60 = 0. Let h(r) = -9*r**4 + 13*r**3 + 9*r**2 - 13. Let p(n) = s*b(n) + 6*h(n). Factor p(c).
-2*c**2*(c - 1)*(c + 1)
Factor 2*x**3 + 14/3*x + 4/3 + 16/3*x**2.
2*(x + 1)**2*(3*x + 2)/3
Let d(j) be the second derivative of 2/5*j**5 + 2*j + 0*j**3 + 0 + 8/15*j**6 + 0*j**2 + 1/12*j**4. Solve d(t) = 0 for t.
-1/4, 0
Suppose -3*h = s + 13, -s + h = -3*h - 22. Let y be (10 - 4)*1/2. Factor 2*g**3 - y + 0*g**3 + 2 - s*g + g**4 + 0.
(g - 1)*(g + 1)**3
Let b be 3 + (-3)/((-273)/(-121)). Let q = -18/13 + b. Let -2/7*l**2 - 2/7*l + 2/7 + q*l**3 = 0. Calculate l.
-1, 1
Let s(h) be the second derivative of 1/6*h**4 - 1/10*h**5 - 1/30*h**6 + 1/6*h**3 + 0 - 1/2*h**2 + 1/42*h**7 - h. What is g in s(g) = 0?
-1, 1
Let r(l) be the first derivative of -3*l**4/20 + 2*l**3/5 + 1. Factor r(g).
-3*g**2*(g - 2)/5
Suppose 1/5*l**2 + 6/5*l + 9/5 = 0. Calculate l.
-3
Let l(c) = -10*c**2 - 6*c + 2. Let t(f) = 9*f**2 + 5*f - 3. Let n(u) = 3*l(u) + 2*t(u). Find d such that n(d) = 0.
-2/3, 0
Let z(n) be the first derivative of -