tor -g*s**2 - 8/19 - 8/19*s.
-2*(s + 2)**2/19
What is q in -46*q**4 - 116*q**3 - 106*q**4 + 120*q + 56*q**4 + 76*q**2 - 16*q**5 + 32 = 0?
-4, -2, -1/2, 1
Factor -983*f + 969*f - 15 - 34 - f**2.
-(f + 7)**2
Factor 12*l + 28*l + 11*l - 18*l**2 + 9*l - 5*l**3 - 37*l**2.
-5*l*(l - 1)*(l + 12)
Let n(b) be the first derivative of b**6/2 - 57*b**5/5 - 123*b**4/4 - 21*b**3 - 431. Solve n(r) = 0.
-1, 0, 21
Let x(b) be the first derivative of 4*b + 13 + 71*b**3 + 34*b**2 + 361/5*b**5 - 323/2*b**4. Find l such that x(l) = 0.
-2/19, 1
Let d(b) be the first derivative of -4*b + 1/60*b**4 + 4 - 1/15*b**3 + 0*b**2. Let c(z) be the first derivative of d(z). Factor c(t).
t*(t - 2)/5
Let n(g) = -2*g**2 - g + 1. Let b(l) = 25*l**2 - 35*l - 20. Let p(k) = b(k) + 5*n(k). Factor p(r).
5*(r - 3)*(3*r + 1)
Factor 8/3*q - 4/3*q**2 + 0 - 4/3*q**3.
-4*q*(q - 1)*(q + 2)/3
Let n(f) be the first derivative of -4*f**3/5 - 9*f**2/2 + 12*f/5 + 156. Suppose n(y) = 0. What is y?
-4, 1/4
Suppose -20*r + 54400 = 54360. Factor 0*v**r + 0 - 1/2*v**4 + 3/4*v**3 + 0*v - 1/4*v**5.
-v**3*(v - 1)*(v + 3)/4
Let l(i) be the first derivative of i**9/18144 + i**8/5040 - i**7/5040 - i**6/1080 - 5*i**3/3 + 2. Let h(b) be the third derivative of l(b). Factor h(t).
t**2*(t - 1)*(t + 1)*(t + 2)/6
Let f(n) be the second derivative of n**8/13440 + n**7/1680 + n**6/480 + n**5/240 + n**4 + 7*n. Let s(y) be the third derivative of f(y). Factor s(k).
(k + 1)**3/2
Suppose -2*s - o - 2 = -0*o, -4*s - 2 = 3*o. Let k(j) = 4*j**3 - 8*j**2 - 6*j + 8. Let h(i) = i. Let v(f) = s*h(f) - k(f). Factor v(d).
-4*(d - 2)*(d - 1)*(d + 1)
Let q = 144169/5 - 28833. Factor -16/5 + 2/5*t**2 + q*t.
2*(t - 2)*(t + 4)/5
Let f(u) be the first derivative of -3*u**4/8 - 3*u**3/2 + 3*u**2 - 31. Suppose f(z) = 0. What is z?
-4, 0, 1
Let n(o) be the first derivative of 25*o**4/4 + 20*o**3 + 5*o**2/2 - 30*o - 93. Factor n(d).
5*(d + 1)*(d + 2)*(5*d - 3)
Let p = 16426 - 114977/7. Factor 0*v - p*v**4 + 0 + 2/7*v**3 + 0*v**2.
-v**3*(5*v - 2)/7
Determine w so that 2*w**2 + 2 + 28 - 30*w + 78 = 0.
6, 9
Suppose 3*g - 2*g = -2*n - 2, 5*g = n + 12. Suppose -c**5 - 2*c**3 - g*c**5 + 5*c**3 = 0. Calculate c.
-1, 0, 1
Let h(c) be the first derivative of c**5 + 25*c**4/4 + 35*c**3/3 + 15*c**2/2 - 149. Factor h(z).
5*z*(z + 1)**2*(z + 3)
Let u = -166 - -166. Suppose -p - 13*z + 8*z + 2 = u, 2*p + 4*z - 4 = 0. Solve -1/9*o**3 - 5/9*o**p - 8/9*o - 4/9 = 0.
-2, -1
Let i(a) be the second derivative of -a**6/75 - 79*a**5/50 + 122*a**4/15 - 164*a**3/15 + 72*a + 7. Suppose i(y) = 0. What is y?
-82, 0, 1, 2
Let m(n) be the second derivative of n**5/55 - 9*n**4/22 + 37*n**3/33 - 12*n**2/11 + 12*n + 7. Solve m(g) = 0 for g.
1/2, 1, 12
Let d be (12/10)/(15/200). Suppose d = 4*g + 5*j, 7*g - 3*g = 3*j + 16. Determine r so that -2/5*r**2 - 1/5*r**5 + 0*r + 3/5*r**3 + 0 + 0*r**g = 0.
-2, 0, 1
Suppose 29 = 3*y - 4*i, -20 = -10*y + 12*i - 14*i. Factor 0*d + 0 - 3/2*d**y - 3/2*d**2.
-3*d**2*(d + 1)/2
Let v(n) be the second derivative of -n**6/90 + n**5/30 - n**4/36 - n + 51. Factor v(y).
-y**2*(y - 1)**2/3
Let d(h) be the second derivative of 0*h**2 + 8*h + 0*h**3 - 1/75*h**6 + 0 + 0*h**4 - 1/25*h**5. Factor d(n).
-2*n**3*(n + 2)/5
Let d(o) be the second derivative of o**7/14 - 33*o**6/40 + 39*o**5/20 + 21*o**4/16 - 7*o**3 + 9*o**2/2 - 505*o. Suppose d(z) = 0. What is z?
-1, 1/4, 1, 2, 6
Let a = -25 - -8. Let c = a + 19. Factor -7*x**c + 7 - x**2 + 4*x**3 + 1 + 4*x - 8*x**3.
-4*(x - 1)*(x + 1)*(x + 2)
Suppose r = -2*r + t + 16, -5*r + 10 = -5*t. Determine i, given that -2 - i - 6*i**2 - 3*i + 5*i**2 + r*i = 0.
1, 2
Factor -3*g**3 + 0*g - 7/2*g**2 + 1/2*g**4 + 0.
g**2*(g - 7)*(g + 1)/2
Let z = -6 + 6. Suppose 2*b = -z*b. Let b*h**2 + h - 10*h**3 + h**2 - h**4 + 9*h**3 = 0. Calculate h.
-1, 0, 1
Suppose -5*v + 28 = 2*v. Let h(d) be the second derivative of 0*d**v + 1/4*d**2 - 11*d + 1/20*d**5 - 1/6*d**3 + 0 - 1/60*d**6. Factor h(c).
-(c - 1)**3*(c + 1)/2
Let z(y) be the second derivative of -y**7/336 + y**6/48 - y**5/32 - 5*y**4/96 + y**3/8 + 241*y. Determine w so that z(w) = 0.
-1, 0, 1, 2, 3
Factor -16/17*o - 36/17*o**3 - 40/17*o**2 - 2/17*o**5 - 14/17*o**4 + 0.
-2*o*(o + 1)*(o + 2)**3/17
Suppose -35*d = l - 38*d + 9, -4*l - 3*d = -24. Factor 1/4*o**4 + 0*o + 0 + o**2 - o**l.
o**2*(o - 2)**2/4
Let t be 6*((-3)/(-4))/(-11 + 17). Let m be (9/42)/((-3)/(21/(-2))). Let m*l**2 + t + 3/2*l = 0. Calculate l.
-1
Let f(c) = c**5 - c**4 + c**3 - 2*c**2 - c. Let l(w) = -3*w**5 + 7*w**4 - 11*w**3 + 11*w**2. Let p(o) = -2*f(o) - l(o). Suppose p(v) = 0. What is v?
0, 1, 2
Let r = 10 - 7. Suppose -b + r*b - 6 = 0. Determine t so that 4*t**5 - 2*t**5 + 2*t**b + 0*t**5 + 4*t**4 = 0.
-1, 0
Let b(o) be the third derivative of o**7/1575 + 2*o**6/225 + 7*o**5/150 + o**4/10 - 84*o**2. Determine r so that b(r) = 0.
-3, -2, 0
Suppose 0 = 2*k - 4*k + 6. Let u(z) = z**3 - 1 + 3*z + 2*z**k - z**3 - 3. Let c(y) = -y**3 + y**2 - y. Let p(m) = 3*c(m) + u(m). Determine r so that p(r) = 0.
-1, 2
Let w(q) = q**2 - 6*q - 8. Let v(b) = b**2 - 7*b - 6. Let h(i) = -2*v(i) + 3*w(i). Suppose h(l) = 0. Calculate l.
-2, 6
Let p(x) = -15*x**2 + 9*x. Let j(c) be the third derivative of -7/60*c**5 + 1/6*c**4 + 0*c + 0*c**3 - 5*c**2 + 0. Let m(f) = -13*j(f) + 6*p(f). Factor m(t).
t*(t + 2)
Let m(p) be the second derivative of -5*p**7/189 - 7*p**6/45 - 19*p**5/90 + 17*p**4/54 + 8*p**3/9 + 4*p**2/9 - 432*p. Let m(v) = 0. Calculate v.
-2, -1, -1/5, 1
Let i be (-15 - 2652/(-170))/(3/77 + 0). Factor 0 + 32/5*b**3 - 4/5*b**2 + 49/5*b**5 + 0*b - i*b**4.
b**2*(b - 1)*(7*b - 2)**2/5
Let o be (444/10 - (1 - -5))/(11/11). Determine k, given that 512/5 + 1/5*k**3 + o*k + 24/5*k**2 = 0.
-8
Let q(i) = -i**3 + 4*i**2 + 7*i. Let n be q(5). Let p be n/(-15)*18/(-4). Solve -4*v**4 + 3*v + 0*v - 4*v**2 - 4 - 4*v**5 + 8*v**p - 7*v + 12*v**2 = 0 for v.
-1, 1
Let m(n) be the third derivative of -n**6/120 + 7*n**5/20 + 4*n**4 - 1408*n**3/3 + 53*n**2 + 4. Factor m(w).
-(w - 16)**2*(w + 11)
Let h(j) = -j**2 - 30*j - 54. Let n be h(-2). Factor -4 - 92/3*q**4 - 152/3*q**n - 20/3*q**5 - 68/3*q - 56*q**3.
-4*(q + 1)**4*(5*q + 3)/3
Let c(k) be the third derivative of -k**7/42 - 13*k**6/12 - 169*k**5/12 - k**2 - 3*k. Factor c(p).
-5*p**2*(p + 13)**2
Let k be 192/624 - 8/26. Factor 1/5*p**2 - 4/5 + k*p.
(p - 2)*(p + 2)/5
Let j(b) be the third derivative of -b**6/80 - 3*b**5/40 - b**4/8 - 15*b**2. Let j(l) = 0. Calculate l.
-2, -1, 0
Let a = -20 - -22. Factor -a*h - 2 - 4*h**3 + 177*h**2 - 177*h**2 + 2*h**4 + 6*h.
2*(h - 1)**3*(h + 1)
Let m(o) be the second derivative of -11/30*o**5 + 0 - 4/15*o**6 + 0*o**3 + 2*o + 0*o**2 - 1/9*o**4. Factor m(t).
-2*t**2*(3*t + 2)*(4*t + 1)/3
Let t(f) be the first derivative of 1/39*f**6 - 2 + 1/13*f**2 - 8/65*f**5 + 3/13*f**4 + 0*f - 8/39*f**3. Determine n so that t(n) = 0.
0, 1
Suppose 2*r - 3*r = 0. Suppose -5*a = 4*z + 6, r = 3*z + 2*z + 20. Let -10 + a*w - w**2 + 5 + 4 = 0. What is w?
1
Let p(g) = -2*g**4 + 17*g**3 - 10*g**2 - 20*g + 12. Let i(n) = 25*n**4 - 205*n**3 + 120*n**2 + 240*n - 145. Let z(v) = 3*i(v) + 35*p(v). Factor z(m).
5*(m - 3)*(m - 1)**2*(m + 1)
Let w(l) be the third derivative of -l**7/3780 + l**6/1620 + l**5/270 + 49*l**3/6 - 2*l**2 - 9. Let a(c) be the first derivative of w(c). Factor a(b).
-2*b*(b - 2)*(b + 1)/9
Let 56*n - 64*n**2 + 0 - 2/7*n**4 + 58/7*n**3 = 0. Calculate n.
0, 1, 14
Let p be -2 + ((-728)/(-39))/7. Solve 0 + p*v + 1/3*v**2 = 0 for v.
-2, 0
Suppose 0 = 4*i + q + 4*q + 8, 2*q = -3*i + 1. Solve 0*z + 6*z - 27*z**i - 3*z + 24*z**3 = 0.
-1, 0, 1
Let i = -283/231 - -14/11. Let f(n) be the second derivative of -i*n**3 + 0*n**2 + 0 - 3/70*n**5 - 1/14*n**4 - 2*n - 1/105*n**6. Factor f(h).
-2*h*(h + 1)**3/7
Let y(l) be the first derivative of -8*l**3/3 - 11*l**2 + 6*l - 158. Suppose y(r) = 0. Calculate r.
-3, 1/4
Let z = 17 - 14. Let q(w) be the first derivative of 0*w**2 + 1/42*w**6 + 0*w**5 - 5 + 0*w**z - 1/28*w**4 + 0*w. Determine d so that q(d) = 0.
-1, 0, 1
Suppose 23 = 5*a - d + 3, 0 = 4*a - 5*d - 37. Suppose -g + 48 = a*g. Factor 10 - 28 - o**3 - 46 - 48*o - g*o**2.
-(o + 4)**3
Suppose 2*x + 5 = 3*x. Let h(a) = 19*a - 91. Let f be h(5). Factor 0*n**2 + 4/7*n**3 - 6/7*n**f - 10/7*n**x + 0 + 0*n.
-2*n**3*(n + 1)*(5*n - 2)/7
Suppose -32*l**2 + 9*l**3 - 21*l**3 