*d + 1)
Let v(j) = -3*j**2 + 41*j - 108. Let x(g) = -6*g**2 + 81*g - 216. Let f(b) = -9*v(b) + 5*x(b). Factor f(o).
-3*(o - 6)**2
Let f = -1467/2 + 735. Factor f*z**2 - 3/2*z + 3/2*z**3 + 0 - 3/2*z**4.
-3*z*(z - 1)**2*(z + 1)/2
Suppose 3*s + 13*s + 64 = 0. Let p be 5 - (s + (6 - -3)). Suppose p - 1/5*n**2 - 1/5*n + 1/5*n**4 + 1/5*n**3 = 0. What is n?
-1, 0, 1
Let q be (-3)/(9/6)*(-6)/4. Suppose 3*c + 4*p - 1 = 5, q*p + 2 = c. Factor 1/3*k**4 + 0*k + 0 + 1/3*k**c - 2/3*k**3.
k**2*(k - 1)**2/3
Suppose 0 = -16*f - 138 - 38. Let y = f + 11. Factor y + 0*m**2 + 0*m**3 - 4/13*m**4 - 2/13*m**5 + 0*m.
-2*m**4*(m + 2)/13
Let k = -2 + 2. Let i be -3 + 0 + k - -6. Let j(b) = 3*b**4 - 3*b**3 + 6*b**2 - 3*b + 3. Let g(v) = -v**3 - v**2 + v - 1. Let w(s) = i*g(s) + j(s). Factor w(y).
3*y**2*(y - 1)**2
Let d = -12 + 11. Let z(x) = -x**2 - x + 1. Let w(g) = 98*g**3 + 248*g**2 + 116*g + 20. Let y(i) = d*w(i) + 4*z(i). Factor y(m).
-2*(m + 2)*(7*m + 2)**2
Let m(t) be the second derivative of -3/14*t**5 + 1/15*t**6 + 0*t**2 - 4/21*t**3 + 13/42*t**4 - 1/147*t**7 + 3*t + 0. Solve m(x) = 0 for x.
0, 1, 4
Suppose -60*l**2 + 52*l + 4*l**4 + 28 - 52*l**3 - 18 + 52 - 6 = 0. What is l?
-1, 1, 14
Suppose -6*u - 29 = -47. What is j in -16*j**3 + 18 - 82*j**u - 39*j**2 + 21*j**4 + 57*j + 41*j**3 = 0?
-1, -2/7, 1, 3
Let s(d) = d**4 + d**2 + d. Let z(c) = 2*c**4 - 7*c**3 - 11*c**2 - 5*c. Let u(l) = 3*s(l) - z(l). Factor u(i).
i*(i + 1)*(i + 2)*(i + 4)
Let v be (-24)/(-16) - (-140)/40. Find r, given that -1/4*r**2 - 1/2*r**4 - 1/8*r**v + 0*r + 0 - 5/8*r**3 = 0.
-2, -1, 0
What is y in 27/8*y**4 - 399/8*y**3 - 126*y**2 + 0 - 51/2*y = 0?
-2, -2/9, 0, 17
Let m(l) be the third derivative of -l**6/120 - 2*l**5/15 + 11*l**4/6 - 8*l**3 - 629*l**2. Factor m(y).
-(y - 2)**2*(y + 12)
Let x(o) be the first derivative of -o**4/36 - o**3/3 - 3*o**2/2 + 4*o - 19. Let g(d) be the first derivative of x(d). What is b in g(b) = 0?
-3
Let y = -3/112 - -99/112. Let c be ((-40)/210)/(4/(-6)). Factor -y*j - 4/7 + c*j**3 + 0*j**2.
2*(j - 2)*(j + 1)**2/7
Let i = 4/277 + -8647/4155. Let h = -5/3 - i. Factor -h*f**2 + 0*f**3 + 0*f + 1/5*f**4 + 1/5.
(f - 1)**2*(f + 1)**2/5
Let n = 6128/11 - 28046/77. Let r = n - 192. Factor 2/7*z - 6/7*z**2 + 0 - 2/7*z**4 + r*z**3.
-2*z*(z - 1)**3/7
Factor 1/3*u**5 + 0*u - 8/3*u**4 + 0 + 0*u**2 + 16/3*u**3.
u**3*(u - 4)**2/3
Let b(w) be the first derivative of 6/7*w**2 + 0*w + 1/7*w**3 + 23. What is z in b(z) = 0?
-4, 0
Let o(a) = -30*a**3 - 35*a**2 + 45*a + 15. Suppose -5*u - 8*u = -65. Let f(b) = 15*b**3 + 18*b**2 - 23*b - 8. Let k(s) = u*f(s) + 2*o(s). Solve k(g) = 0.
-2, -1/3, 1
Let i(u) be the third derivative of -8/105*u**7 + 0*u**4 + 1/84*u**8 + 1/6*u**6 - 2/15*u**5 + 0 - 10*u**2 + 0*u**3 + 0*u. Factor i(k).
4*k**2*(k - 2)*(k - 1)**2
Let a(c) be the third derivative of c**7/70 - 3*c**6/4 + 277*c**5/20 - 195*c**4/2 + 338*c**3 + 3*c**2 + 15. Find h, given that a(h) = 0.
2, 13
Let x(o) = o**3 + 7*o**2 - o - 4. Suppose 2*c = -n - 15, 2*n = 5*n + 3. Let d be x(c). Solve -d*j**2 + 5*j**2 + j + 0*j - 3*j**2 = 0 for j.
0, 1
Let m(n) be the first derivative of 3/14*n**4 + 4/21*n**3 + 0*n**2 - 8 - 6/35*n**5 - 2/21*n**6 + 0*n. Determine f, given that m(f) = 0.
-2, -1/2, 0, 1
Let x(o) be the third derivative of -3/32*o**4 + 0*o + 1/80*o**5 + 0 + 1/4*o**3 - 12*o**2. Factor x(d).
3*(d - 2)*(d - 1)/4
Let o(t) = -5*t**2 + 145*t + 2909. Let k(w) = -3*w**2 + 72*w + 1456. Let q(z) = 7*k(z) - 4*o(z). Factor q(i).
-(i + 38)**2
Suppose 3*w + 5*s + 15 = 0, 0 = 2*w + s - 9 + 12. Let i(q) be the second derivative of 0 - 3*q + w*q**2 - 1/4*q**4 - q**3. Determine d so that i(d) = 0.
-2, 0
Let i(a) = 5*a**3 - 14*a**2 + 15*a. Suppose 9*m = 4*m - 30. Let u(t) = -t**2. Let g(k) = m*u(k) - i(k). Suppose g(z) = 0. Calculate z.
0, 1, 3
Let l(v) = 3*v**3 + v**2 - 2*v + 1. Let d be l(1). Factor w**2 - 1 + 2 + d*w**3 - 1.
w**2*(3*w + 1)
Let l(d) be the first derivative of 3*d**5/20 + 3*d**4/16 - 3*d**3/4 - 15*d**2/8 - 3*d/2 - 178. Solve l(z) = 0.
-1, 2
Let p(d) be the third derivative of -d**5/15 - 5*d**4/6 - 4*d**3 - 5*d**2 + 2. Solve p(o) = 0.
-3, -2
Solve -2/3*u**2 + 4/3*u - 2*u**3 + 0 + 2/3*u**4 + 2/3*u**5 = 0 for u.
-2, -1, 0, 1
Let h(y) be the second derivative of 3*y**5/40 + 17*y**4/8 + 91*y**3/4 + 441*y**2/4 - 68*y + 3. Suppose h(v) = 0. What is v?
-7, -3
Suppose 8 = -16*q + 104. Let b(p) = -4*p**3 + 2*p + 1. Let j be b(-1). Factor 5*n**4 + q*n**j - 4*n**3 + 3*n**3.
5*n**3*(n + 1)
Suppose 0 = -2*f - 3*a - 29 + 10, -3*f = 5*a + 31. Let n be (-76)/95*10/f. Factor -3*k**4 + k**3 + n*k**4 - k**2 + k**3 - 2*k**4.
-k**2*(k - 1)**2
Let q be (-1)/(2 + 1 + -2). Let j be ((-39)/9 + 4)*q*1. Suppose -2/3*i - 1/3*i**2 + 0 + j*i**3 = 0. Calculate i.
-1, 0, 2
Let y(w) = -6*w**3 + 54*w**2 + 602*w - 3385. Let j(x) = 5*x**3 - 54*x**2 - 603*x + 3382. Let v(f) = 7*j(f) + 6*y(f). What is a in v(a) = 0?
-29, 4
Let q be (11/33)/(1/12). Factor -25*m**5 - 3*m**4 + 10*m**3 + 0*m**q - 6*m**4 - 6*m**4.
-5*m**3*(m + 1)*(5*m - 2)
Let q(v) = -2*v + 0*v - 1 + 3*v. Let b be q(3). Find c such that -2 + 12*c - 26*c**2 + 11 + 29*c**b = 0.
-3, -1
Let k(s) be the second derivative of 0*s**5 - 1/15*s**6 - 5*s + 0*s**2 + 0 + 0*s**4 + 1/21*s**7 + 0*s**3. Determine n, given that k(n) = 0.
0, 1
Let f(x) = -x**2 - 12*x - 33. Let b be f(-7). Suppose -2*u = 5*l - 14, 0 = u + 4*l - 12 + b. Factor 1 - 1/3*h**u - 2/3*h.
-(h - 1)*(h + 3)/3
Let d(y) be the second derivative of y**4/36 + 7*y**3/9 + 291*y. Factor d(h).
h*(h + 14)/3
Suppose -4/7*o + 0 + 2*o**2 + 18/7*o**3 = 0. Calculate o.
-1, 0, 2/9
Suppose 8*r + 4*s = 5*r - 2, -3*s = 6. What is a in -3/2*a + 1/2*a**2 - r = 0?
-1, 4
Determine o, given that -2/11*o**3 + 0 - 28/11*o - 18/11*o**2 = 0.
-7, -2, 0
Let h be (-1554)/(-189) + -2 + (-32)/(-18). Let x be ((-1)/(-10))/(4/h). Factor x*w**2 + 1/5*w + 0.
w*(w + 1)/5
Let v(s) be the first derivative of 14*s**3/39 + 10*s**2 + 144*s/13 + 383. Factor v(j).
2*(j + 18)*(7*j + 4)/13
Let d be 30/21*(-574)/(-164). What is x in 5/4*x**4 + 1/4*x**d + 7/4*x**2 + 0 + 9/4*x**3 + 1/2*x = 0?
-2, -1, 0
Solve 42*j**2 - 7*j**4 + j**4 + 7*j**3 - 2*j**3 - 2*j**5 - 18*j**2 + 3*j**3 = 0.
-3, -2, 0, 2
Let n = 104/177 - -14/177. Factor -2/9*b**3 + n*b + 0 + 4/9*b**2.
-2*b*(b - 3)*(b + 1)/9
Let y(j) be the third derivative of -j**8/1512 + 4*j**7/315 - 14*j**6/135 + 7*j**5/15 - 5*j**4/4 + 2*j**3 + 26*j**2. Determine x so that y(x) = 0.
1, 2, 3
Suppose 4*f - 5*n = 312, f - 6*f - 5*n = -435. What is z in 5 - 85*z**2 + 1 - 4*z + f*z**2 = 0?
-3, 1
Let c(q) be the first derivative of 1/2*q**6 + 0*q - 2*q**3 + 0*q**4 - 3/2*q**2 + 6/5*q**5 - 15. Factor c(m).
3*m*(m - 1)*(m + 1)**3
Let q(j) = 2*j**4 + 7*j**3 + 16*j**2 - 7*j - 23. Let x(t) = t**4 + 4*t**3 + 8*t**2 - 4*t - 11. Let a(f) = -4*q(f) + 10*x(f). Let a(l) = 0. What is l?
-3, -1, 1
Let n(k) be the third derivative of k**7/280 - 3*k**6/8 + 117*k**5/80 - 29*k**4/16 - 402*k**2. Factor n(w).
3*w*(w - 58)*(w - 1)**2/4
Let u(m) be the second derivative of m**4/4 + 55*m**3/2 - 821*m - 2. Solve u(l) = 0.
-55, 0
Suppose 30*j + 375*j**3 + 35*j**2 + 1 - 370*j**3 - 1 = 0. Calculate j.
-6, -1, 0
Let g(v) be the third derivative of -8/33*v**3 + 0 - 14*v**2 - 1/55*v**5 + 1/11*v**4 + 1/660*v**6 + 0*v. Factor g(z).
2*(z - 2)**3/11
Determine j, given that 4*j**4 + 45 + 5921*j**2 + 87 - 5897*j**2 - 48*j**3 + 208*j = 0.
-1, 3, 11
Suppose 3*z = -4 + 16. Factor -4*w**5 - 3*w**3 - 8*w**z + w**3 - 2*w**3.
-4*w**3*(w + 1)**2
Let n(p) = -5*p**2 + 22*p - 6. Let f be n(4). Factor -8*g**4 - f - 4*g**4 + 4*g - 4*g**3 + 14*g**4.
2*(g - 1)**3*(g + 1)
Let j = -43/12 - -137/36. Let x(q) be the first derivative of 0*q**2 + 1/4*q**4 - j*q**3 - 7 + 0*q. Solve x(n) = 0 for n.
0, 2/3
Solve -95/4*g**2 - 5/4*g**5 + 35/4*g**4 - 45/4*g**3 + 30 + 55/2*g = 0.
-1, 2, 3, 4
Let l(i) = -5*i**2 + 451*i + 24663. Let a(p) = 3*p**2 - 226*p - 12333. Let k(d) = 7*a(d) + 4*l(d). Determine s so that k(s) = 0.
-111
Let d = 149902/7 - 21414. Solve 10/21*w + 4/21*w**2 - 2/7 + 2/21*w**5 + 2/21*w**4 - d*w**3 = 0 for w.
-3, -1, 1
Let x(f) = 17*f - 15. Let l be x(1). What is w in 0*w + 0*w**l - 2/7*w**4 + 1/7*w**3 + 1/7*w**5 + 0 = 0?
0, 1
Let a(p) be the first derivative of -4/17*p - 1/17*p**2 + 1/34*p**4 + 4/51*p**3 - 10. Find x, given that a(x) = 0.
-2, -1, 1
Let y(j) = 16 +