.
-2/3, 1
Let g(d) be the second derivative of d**7/105 - 2*d**5/25 - d**4/15 + d**3/5 + 2*d**2/5 + d + 6. Factor g(o).
2*(o - 2)*(o - 1)*(o + 1)**3/5
Let s(m) be the first derivative of 0*m - 2 - 1/4*m**2 + 0*m**4 + 1/12*m**6 - 1/5*m**5 + 1/3*m**3. Factor s(n).
n*(n - 1)**3*(n + 1)/2
Let x = 3 + 1. Let i(m) be the third derivative of -2/3*m**3 - 1/6*m**6 + 0 + 0*m - 19/30*m**5 - 11/12*m**x - m**2. Factor i(q).
-2*(q + 1)*(2*q + 1)*(5*q + 2)
Let t(i) = -17*i**2 + 5*i. Let y(v) = -4*v**2 + v. Let k(f) = 6*t(f) - 26*y(f). Suppose k(m) = 0. Calculate m.
-2, 0
Suppose -3*o + 2 = -2*o. Let b = 1 + o. Factor -3 + 5*s + s + 0*s - b*s**2.
-3*(s - 1)**2
Let j(d) = d**2 + d. Let n(t) = -t**3 - 32*t**2 - 362*t - 1331. Let z(x) = -4*j(x) + 4*n(x). What is i in z(i) = 0?
-11
Let x be ((-4)/24)/(1/(-4)). Let f = -36/11 - -130/33. Factor x*h**2 + 0 - f*h.
2*h*(h - 1)/3
Let t(y) = -y**3 - 7*y**2 - 7*y + 2. Let b be t(-6). Let s = 16 - b. Factor -3*k**2 + s - 6 + k**2.
-2*(k - 1)*(k + 1)
Let x be 2/(33/(-9) + 3). Let n be 1 - ((-56)/(-18) + x). Suppose -4/9 - n*i**2 + 10/9*i + 2/9*i**3 = 0. Calculate i.
1, 2
Let v = 125 + -121. Solve 3/2*t**v - 1/2 - t**3 - 1/2*t**5 + 3/2*t - t**2 = 0.
-1, 1
Let d be 12 - 10 - (-5540)/(-11). Let f = d + 502. Find t, given that 2/11*t**3 + 2/11*t + f*t**2 + 0 = 0.
-1, 0
Let y(g) be the first derivative of -g**6/24 - g**5/20 + 3*g**4/16 + g**3/12 - g**2/4 - 8. Suppose y(b) = 0. What is b?
-2, -1, 0, 1
Let h(x) = x**2 - x. Let b(c) = 2*c**3 - 2*c. Let p(d) = d**2 + 2. Let t be p(0). Let q(y) = t*h(y) - b(y). Solve q(r) = 0.
0, 1
Let x(q) be the first derivative of 5*q**3/9 + 5*q**2 + 40*q/3 - 74. Find z such that x(z) = 0.
-4, -2
Let x(v) = -v + 9. Let j be x(7). Suppose -3*d + 16 = j*n, -n - 15 = -4*d - 1. Find h such that h**2 - 3*h**n + h + 3*h**2 = 0.
-1, 0
Let o be 16/270*6/4. Let v(c) be the second derivative of o*c**6 + 0*c**2 + 1/63*c**7 + 0 + 1/9*c**3 + 2/9*c**4 + 1/5*c**5 - c. What is a in v(a) = 0?
-1, 0
Let z = -963 + 3853/4. What is b in -9/4*b**4 - z + 6*b**3 - 11/2*b**2 + 2*b = 0?
1/3, 1
Suppose -3*j = -2*o - 3, 0 = -5*j + 2 + 3. Solve 2*z + o*z - 4 - 5*z**3 + 3*z**3 + 4*z**2 = 0.
-1, 1, 2
Let j(f) be the third derivative of -f**7/630 + f**6/360 + f**5/180 - f**4/72 + 4*f**2. Find h such that j(h) = 0.
-1, 0, 1
Let a(k) be the second derivative of k**6/165 - 3*k**5/220 + k**4/132 + 18*k. Solve a(f) = 0.
0, 1/2, 1
Let a(n) be the third derivative of n**8/60480 - n**7/2520 + n**6/240 - n**5/30 + n**2. Let b(f) be the third derivative of a(f). Suppose b(u) = 0. What is u?
3
Let a be ((-3)/(-2))/(12/(-32)). Let z = 6 + a. Solve 1 - 1 - 2*i**2 + 4 + z*i = 0.
-1, 2
Suppose 0 = c - 2*c - 19. Let d(w) = -w**2 - 20*w - 15. Let z be d(c). Factor 0*j + 2/3*j**3 + 1/3*j**2 + 1/3*j**z + 0.
j**2*(j + 1)**2/3
Let d(p) be the first derivative of p**4 - 16*p**3 + 96*p**2 - 256*p + 14. Suppose d(a) = 0. What is a?
4
Let t = -1461304/99 - -158016/11. Let f = t + 396. Factor 2/9*x + 0*x**3 + 0 - f*x**2 - 2/9*x**5 + 4/9*x**4.
-2*x*(x - 1)**3*(x + 1)/9
Suppose -3*j = 2*x - 16, 3*x - 3*j + 6 = -0. Solve 4 - 4*g**2 - 8*g**3 - 7*g**2 - g**x = 0 for g.
-1, 1/2
What is d in 0*d**3 + 7*d**2 - 16 - 3*d + d**3 + 5*d + 6*d = 0?
-4, 1
Let g(z) be the second derivative of -z**4/120 - z**3/30 - 49*z. Solve g(v) = 0 for v.
-2, 0
Let n(l) = -16*l + 7. Let h be n(-6). Suppose -51*o**2 + 72*o - h*o**2 - 72*o**3 - 19*o**4 + 85*o**4 + 96*o**4 - 8 = 0. Calculate o.
-1, 2/9, 1
Let g(d) be the third derivative of -d**6/960 - d**5/160 - d**4/96 + 39*d**2. Factor g(w).
-w*(w + 1)*(w + 2)/8
Suppose -2*r - 8 = -6*r. Factor 0*s**2 + 2*s**2 + 4*s + 6*s**2 - 2*s**2 - r.
2*(s + 1)*(3*s - 1)
Let c(f) be the first derivative of -f**7/1470 + f**6/252 - f**5/420 - f**4/42 + f**3 - 7. Let q(w) be the third derivative of c(w). Solve q(j) = 0 for j.
-1/2, 1, 2
Factor 0*u**2 + 0 + 2/7*u**3 + 0*u + 1/7*u**4.
u**3*(u + 2)/7
Let b(h) be the third derivative of -h**6/90 - h**5/180 + 3*h**2 - 7. Suppose b(g) = 0. Calculate g.
-1/4, 0
Let x(u) = u**4 - u**3 - u + 1. Suppose 2 = -4*h + 6. Let g(z) = 2*z**4 - 2*z**3 - 6*z + 6. Let m(a) = h*g(a) - 6*x(a). Factor m(d).
-4*d**3*(d - 1)
Let i(d) be the third derivative of -d**5/24 + d**4/12 + d**3/12 + 46*d**2. Factor i(n).
-(n - 1)*(5*n + 1)/2
Let i(y) be the first derivative of -3*y**5/40 - y**4/32 + y**3/8 + y**2/16 + 12. Factor i(x).
-x*(x - 1)*(x + 1)*(3*x + 1)/8
Suppose 3*b - 3 = -5*v, -2*b - 3*b = 2*v + 14. Suppose v*w + 2*r - 17 = 0, -w = -5*w - 4*r + 24. Solve -3*h**4 + 0*h**w - h**3 - h**4 - h**5 + 2*h**4 = 0 for h.
-1, 0
Let d(q) be the first derivative of -q**5/50 + q**4/30 + 2*q + 2. Let s(b) be the first derivative of d(b). Find z such that s(z) = 0.
0, 1
Factor m**2 - 3/4 + 11/4*m.
(m + 3)*(4*m - 1)/4
Let y(v) be the first derivative of -5*v**4/4 - 10*v**3 - 55*v**2/2 - 30*v - 10. Factor y(j).
-5*(j + 1)*(j + 2)*(j + 3)
Suppose -4*h = 4*n - 20, -5*n - 4*h + 33 = -3*h. Let b be n - (4 + -2 + 1). Factor 3/2*g**3 + 1 - 1/2*g**2 - 1/2*g**b - 3/2*g.
-(g - 2)*(g - 1)**2*(g + 1)/2
Let l be 0/(-2)*4/8. Suppose -s = 5*i - 24, -2*s + 3*i + 3 - 7 = l. Find r, given that 4*r**s - r**2 - 5*r**3 - 5*r**4 + 3*r**3 = 0.
-1, 0
Let s(m) = -m**2 + 6*m + 2. Let w be s(6). Let a be 16/6 + w/6. Solve 1 + 0*k**3 + 3*k**4 + 4*k**a + 6*k**2 + 4*k - 2*k**4 = 0.
-1
Let a(u) be the first derivative of -1/12*u**3 - 3/4*u + 2 - 1/2*u**2. Factor a(k).
-(k + 1)*(k + 3)/4
Solve -2/5*r**2 + 4/5 - 14/15*r = 0.
-3, 2/3
Let a(y) = y**3 + 2. Let o be a(0). Solve -i**3 + i + 2*i**3 - 2 - 4*i**3 + 4*i**o - 2*i**4 + i**5 + i**3 = 0.
-1, 1, 2
Let o be 32/12 - (-6)/(-9). Let -4/3*d + 4/3*d**3 + 2/3 - 2/3*d**4 + 0*d**o = 0. What is d?
-1, 1
Suppose 0 = -4*t + 4*x - 8, -4*t + 2*x - 3 = 1. Solve 2/5*m**2 - 2/5*m + t = 0.
0, 1
Let a = 681 + -677. Factor 2*m**2 + 2/3*m**a + 10/3*m**3 - 2/3*m**5 + 0*m + 0.
-2*m**2*(m - 3)*(m + 1)**2/3
Suppose -3*o + 6*o - 12 = 0. Let z(x) be the first derivative of 1/4*x**o + 0*x**2 + 0*x**3 + 0*x - 2. Factor z(r).
r**3
Suppose 2*v = -2*v + 16. Determine z, given that 5*z**3 - 4 + 41*z - 16*z**2 + v*z**4 - 27*z - 2*z**5 - z**3 = 0.
-2, 1
Suppose x - 6*x = 4*h - 32, 4*x = -5*h + 31. Solve 5*l**3 - 15*l**x - 6*l**2 - 6*l + 14*l**4 + 2*l + 8 = 0 for l.
-1, 2
Let o(j) be the third derivative of -4/105*j**6 - 2/21*j**3 + 3*j**2 + 0 - 4/35*j**5 + 0*j + 5/28*j**4. Factor o(u).
-2*(u + 2)*(4*u - 1)**2/7
Let s(w) be the third derivative of 1/360*w**5 + 1/1260*w**7 + 0 + 1/360*w**6 + 0*w**3 + 0*w**4 + 0*w + 5*w**2. Factor s(i).
i**2*(i + 1)**2/6
Let y(d) = 5*d**4 + 22*d**3 + 28*d**2 + 20*d + 5. Let r(m) = 20*m**4 + 89*m**3 + 111*m**2 + 80*m + 20. Let z(v) = -2*r(v) + 9*y(v). Factor z(a).
5*(a + 1)**4
Let m be ((-26)/(-338))/((-2)/(-4)). Solve -6/13*x**4 - 22/13*x**3 - m*x + 4/13 - 22/13*x**2 = 0.
-2, -1, 1/3
Let b(c) be the second derivative of 0 - 1/30*c**4 - 1/75*c**6 + 0*c**2 - 4*c + 0*c**3 - 1/25*c**5. Factor b(n).
-2*n**2*(n + 1)**2/5
Let c = 766/91 + -102/13. Factor -c*s - 2*s**2 + 0 - 10/7*s**3.
-2*s*(s + 1)*(5*s + 2)/7
Suppose -3*n = -7 - 2. Factor 0*a + 2/5*a**4 + 4/5*a**2 + 6/5*a**n + 0.
2*a**2*(a + 1)*(a + 2)/5
Let v(n) be the third derivative of n**6/60 - n**5/10 + 4*n**3/3 - 13*n**2. Factor v(x).
2*(x - 2)**2*(x + 1)
Let m(k) be the second derivative of 0 + 0*k**4 + 0*k**3 + 1/42*k**7 + 3*k + 1/10*k**6 + 1/10*k**5 + 0*k**2. Let m(j) = 0. Calculate j.
-2, -1, 0
Factor -108*x**3 - 20*x**3 + 13*x**3 - 80*x - 47*x**3 - 234*x**2 - 8.
-2*(x + 1)*(9*x + 2)**2
Suppose p = 3*i + 4*p - 3, 1 = -4*i + p. Let b(s) be the third derivative of 0*s**3 + 2*s**2 - 1/300*s**6 + 0*s**4 - 1/150*s**5 + 0*s + i. Factor b(j).
-2*j**2*(j + 1)/5
Let p(o) be the first derivative of -3 - 9/8*o**2 + 0*o**3 + 3/16*o**4 + 3/2*o. Suppose p(x) = 0. What is x?
-2, 1
Let l be 14 + (-2*1 - 0). Let c be (-1)/((15/l)/(-5)). Factor -14*x**4 - 77*x**3 - 11*x**2 - 35*x**4 - c*x - 21*x**2.
-x*(x + 1)*(7*x + 2)**2
Let g(r) be the third derivative of 0*r + 1/5*r**3 + 0 + r**2 + 1/150*r**5 + 1/15*r**4. Let g(q) = 0. What is q?
-3, -1
Let b(f) be the first derivative of -2*f**3/9 + 2*f**2/3 - 10. Factor b(d).
-2*d*(d - 2)/3
Let d(a) = -a + 2*a - 6 + 0 + 5*a**2 + 4. Let t(l) = 9*l**2 + 2*l - 4. Let v(c) = -7*d(c) + 4*t(c). Factor v(u).
(u - 1)*(u + 2)
Let d(r) be the first 