2*(z + 2)**2
Let p(d) = 27*d**4 + 30*d**3 + 49*d**2 + 50*d + 4. Let l(f) = -5*f**4 - 6*f**3 - 10*f**2 - 10*f - 1. Let g(y) = -11*l(y) - 2*p(y). Factor g(w).
(w + 1)**3*(w + 3)
Let d = 53 + -59. Let j(b) = -b**4 - b**2 + 1. Let i(c) = 4*c**4 + 4*c**3 + 14*c**2 - 4*c - 12. Let t(v) = d*j(v) - i(v). Factor t(x).
2*(x - 3)*(x - 1)*(x + 1)**2
Let m(b) be the third derivative of b**9/756 - b**7/30 - b**6/15 + 7*b**3 - 16*b**2. Let l(t) be the first derivative of m(t). Factor l(s).
4*s**2*(s - 3)*(s + 1)*(s + 2)
Suppose 5*t = 2*p + 3*p, -3*t + 4*p - 2 = 0. Factor t*z - 2*z**3 + z**2 - 2*z + z**4.
z**2*(z - 1)**2
Factor 17/4 + 1/4*w**2 - 9/2*w.
(w - 17)*(w - 1)/4
Suppose -68 + 16 = -n. Let d = n - 52. Determine x so that 0*x + 0*x**2 + d + 1/4*x**5 + 1/4*x**3 - 1/2*x**4 = 0.
0, 1
Let w(y) = -878*y**2 - 88*y + 2. Let s(t) = -t**2 + t - 1. Let m(a) = -4*s(a) - w(a). Find u, given that m(u) = 0.
-1/21
Suppose -3*o + 25 = 4*g, 2*g + o + 9 = 5*g. Find a such that 0*a - 1/4*a**3 - 1/2*a**2 + 1/4*a**g + 0 = 0.
-1, 0, 2
Let t = -90901/4 + 22968. Let h = t - 242. Factor -3/4*j**2 - 1/4 - 1/4*j**3 - h*j.
-(j + 1)**3/4
What is x in -33/4*x + 0 + 3/4*x**2 = 0?
0, 11
Let v = 10903/2 - 5450. Factor 3 - v*t - 3/2*t**2.
-3*(t - 1)*(t + 2)/2
Let y(j) be the third derivative of -8*j**5/105 - 29*j**4/84 + 2*j**3/7 - 288*j**2. Suppose y(x) = 0. Calculate x.
-2, 3/16
Let v be (-82)/(3772/(-69))*(3 - 1). Factor -4/3*t**5 - 88*t**v + 108 + 216*t**2 + 52/3*t**4 - 252*t.
-4*(t - 3)**4*(t - 1)/3
Let f be (3/2)/(1 - -2). Let w be 3/(-6) + (-3 - -5). Determine q, given that -w*q - 1 - f*q**2 = 0.
-2, -1
Let v = -296 - -4444/15. Let h(b) be the first derivative of 4/25*b**5 + 0*b - v*b**3 - 7/15*b**6 + 7/10*b**4 + 0*b**2 - 1. What is d in h(d) = 0?
-1, 0, 2/7, 1
Let k(q) be the third derivative of 0*q + 0 + 44*q**2 + 5/6*q**3 - 1/16*q**5 + 0*q**4 - 1/96*q**6. What is c in k(c) = 0?
-2, 1
Find a, given that 1/2*a**3 + a**2 + 0 - 4*a = 0.
-4, 0, 2
Let s = -1/541 - 152014/3787. Let d = 41 + s. What is g in -9/7 - 1/7*g**2 - d*g = 0?
-3
Let g(o) be the second derivative of -o**5/12 - 5*o**4/12 - 13*o**2/2 + 17*o. Let p(f) be the first derivative of g(f). Factor p(m).
-5*m*(m + 2)
Let n(g) be the third derivative of 1/2856*g**8 + 0*g - 1/51*g**3 + 1/255*g**5 - 11*g**2 - 1/1785*g**7 - 1/510*g**6 + 1/204*g**4 + 0. Let n(o) = 0. What is o?
-1, 1
Let n be (-7)/((-63)/(-6))*9. Let s = -2 - n. Determine o so that 38*o**3 + 6*o**s + 2*o**5 + 50*o**2 + 9*o**4 - 8*o**4 + 7*o**4 + 32*o + 8 = 0.
-2, -1
Let a(g) = -23*g**3 - 21*g + 9*g**2 + 30*g**3 + 11 + 14*g**3 - 9*g. Let k(h) = -4*h**3 - 2*h**2 + 6*h - 2. Let v(o) = -4*a(o) - 22*k(o). Solve v(s) = 0 for s.
-3, 0, 1
Let a = -10 + 13. Let b(f) = -f**2 + 9*f - 16. Let r be b(a). Solve 0 + 1/3*z**4 + 0*z + 1/2*z**3 + 1/6*z**r = 0.
-1, -1/2, 0
Suppose 0 = -15*v + 8*v + 140. Let f = 182/9 - v. Determine g, given that 2/9*g**2 - f*g**3 + 0*g + 0 - 2/3*g**5 - 10/9*g**4 = 0.
-1, 0, 1/3
Let q(u) be the first derivative of u**4/4 - 11*u**3/3 + 35. Factor q(f).
f**2*(f - 11)
Let t(i) be the third derivative of -i**5/240 + 29*i**4/48 - 841*i**3/24 - 341*i**2. Let t(z) = 0. Calculate z.
29
Let i(d) be the second derivative of 7*d**6/90 + 4*d**5/15 + 11*d**4/36 + d**3/9 + 214*d. What is z in i(z) = 0?
-1, -2/7, 0
Let s(m) be the third derivative of -m**6/24 + 23*m**5/12 - 875*m**4/24 + 735*m**3/2 + 122*m**2 - 4*m. Factor s(p).
-5*(p - 9)*(p - 7)**2
Let q be ((0/1)/2)/((-1)/(-1)). Suppose -4*u - 3*r + 5 = q, -3*u + r + 7 = -0*u. Factor -2/3*x - 4/9*x**u - 2/9.
-2*(x + 1)*(2*x + 1)/9
Let r = -12 + 14. Suppose h = -r*h. Find v, given that -3*v**2 + 4*v**2 - 3*v**2 + h + 4 - 2*v = 0.
-2, 1
Suppose -5*a - 30 = -35. Let s be ((-2)/(-5))/a + (-64)/(-40). Determine o, given that -2/7*o**s - 2/7*o + 2/7 + 2/7*o**3 = 0.
-1, 1
Let h(p) = -5*p**2 - 6 - p + 11 - p + 2. Let s(u) = 9*u**2 + 4*u - 13. Let q(i) = 11*h(i) + 6*s(i). Factor q(k).
-(k - 1)**2
Let t(c) = 3*c**2 - 50*c + 39. Let o be t(16). Let f(l) be the second derivative of -1/3*l**4 + 0*l**2 - 4/3*l**3 + 0 - o*l. Factor f(i).
-4*i*(i + 2)
Let x(q) be the first derivative of -q**5/15 + 7*q**4/12 + q**3 - 7*q**2/6 - 8*q/3 - 324. Let x(f) = 0. What is f?
-1, 1, 8
Let v(b) be the third derivative of 0 + 0*b**3 - 46*b**2 - 3/20*b**5 + 0*b - 1/120*b**6 + 0*b**4. Factor v(r).
-r**2*(r + 9)
Let j be 45880/33635 + 2/31. Let j*i**3 + 2*i + 2/7*i**4 + 18/7*i**2 + 4/7 = 0. What is i?
-2, -1
Factor -2*d**3 + 588*d + 14*d**2 + 0*d**2 - 608*d.
-2*d*(d - 5)*(d - 2)
Suppose -3*d + 9 = -3. Suppose 13 - 1 = d*n. Factor b**2 + 4*b**n - b**3 - b**2 + 6*b**2.
3*b**2*(b + 2)
Let o(h) be the first derivative of -h**5/90 + h**4/9 - 4*h**3/9 + 5*h**2 - 19. Let l(g) be the second derivative of o(g). Factor l(n).
-2*(n - 2)**2/3
Let m = 20/43 - 2357/5160. Let x(w) be the third derivative of -1/4*w**3 + 0 + m*w**5 + 0*w + 3*w**2 + 1/24*w**4. Suppose x(y) = 0. What is y?
-3, 1
Let a(n) be the first derivative of n**7/63 - n**6/9 - 4*n**5/15 + 2*n**4/3 - 15*n - 42. Let s(v) be the first derivative of a(v). Determine i so that s(i) = 0.
-2, 0, 1, 6
Find n such that 1/7*n**4 + 0 - 1/7*n**2 + 1/7*n - 1/7*n**3 = 0.
-1, 0, 1
Suppose 5*c - 2*t + 386 = 0, 0 = -4*c + t - 33 - 274. Let s = -76 - c. Determine v so that -3*v**2 + 60/7*v**5 - 6/7*v + 111/7*v**4 + s + 36/7*v**3 = 0.
-1, -1/4, 0, 2/5
Let b = -181 - -272. Let p = 93 - b. Find m such that -1/3*m**4 + 5/6*m**3 - 2/3*m**p + 0 + 1/6*m = 0.
0, 1/2, 1
Suppose -88*f - 63 = -89*f. Factor -9 - f + 2*a - 2*a**2 - 26*a.
-2*(a + 6)**2
Let w(r) be the first derivative of -r**9/13608 + r**7/1890 - r**5/540 + 4*r**3/3 - 11. Let o(d) be the third derivative of w(d). Solve o(x) = 0.
-1, 0, 1
Let u be ((-215)/45)/1 - -5. Factor 4/9 - 2/3*g**2 + u*g**3 - 2/9*g + 2/9*g**4.
2*(g - 1)**2*(g + 1)*(g + 2)/9
Let u(o) = -6*o + 4. Let g be u(8). Let y = g - -49. Factor 8*i**4 - 7*i**2 + 2*i**3 + 7/2*i**y - 11/2*i - 1.
(i - 1)*(i + 1)**3*(7*i + 2)/2
Let h = 4693/2 + -32845/14. Find f such that -h*f - 1/7*f**2 + 10/7 = 0.
-5, 2
Suppose j = 24 + 14. Let a = j - 36. Find p such that -7/2*p**5 + 3/2*p - 6*p**4 + 7*p**a - 1 + 2*p**3 = 0.
-1, 2/7, 1
Suppose -3*t + 18 = 3. Suppose 3*o - 5*o = 3*u - 10, -3*o + t*u - 4 = 0. Factor -2/11*z + 0 + 2/11*z**o.
2*z*(z - 1)/11
Let i(f) be the third derivative of 1/7*f**4 + 1/735*f**7 + 4/21*f**3 + 1/70*f**6 + 0*f + 13/210*f**5 + 0 + 13*f**2. Determine q, given that i(q) = 0.
-2, -1
Let g(y) = -6*y**3 + 1106*y**2 - 50418*y - 16928. Let m(p) = 18*p**3 - 3320*p**2 + 151255*p + 50784. Let n(r) = 7*g(r) + 2*m(r). Factor n(f).
-2*(f - 92)**2*(3*f + 1)
Let i(g) be the first derivative of 2*g**2 + 0*g + 2/3*g**3 - 10. Factor i(p).
2*p*(p + 2)
Let c(p) be the first derivative of p**5/5 - 5*p**4/2 + 5*p**3 + 5*p**2 - 16*p + 47. Determine g, given that c(g) = 0.
-1, 1, 2, 8
What is z in -21 + 81*z - 21/4*z**3 - 99/4*z**2 = 0?
-7, 2/7, 2
Factor 3/5*p**4 + 42/5*p**2 + 21/5*p**3 + 24/5*p + 0.
3*p*(p + 1)*(p + 2)*(p + 4)/5
Let g(t) be the second derivative of t**6/480 + t**5/240 - 31*t**2/2 + 41*t. Let y(h) be the first derivative of g(h). Factor y(o).
o**2*(o + 1)/4
Suppose 0*g = -24*g. Let o(s) be the second derivative of -s - 3/8*s**2 + 1/48*s**4 + 1/12*s**3 + g. Suppose o(a) = 0. What is a?
-3, 1
Let u(b) be the second derivative of -b**5/70 - 22*b**4/21 + 47*b**3/21 + 90*b**2/7 + 712*b. Factor u(s).
-2*(s - 2)*(s + 1)*(s + 45)/7
Let b(j) be the third derivative of j**8/10080 + j**7/5040 - j**6/2160 - j**5/720 + j**3 + 12*j**2. Let g(y) be the first derivative of b(y). Factor g(t).
t*(t - 1)*(t + 1)**2/6
Let s(r) be the first derivative of -r**6/75 + r**5/25 - 29*r + 31. Let t(z) be the first derivative of s(z). Factor t(u).
-2*u**3*(u - 2)/5
Let y(h) be the third derivative of h**6/60 + 103*h**5/10 + 10609*h**4/4 + 1092727*h**3/3 - 219*h**2. Find x, given that y(x) = 0.
-103
Let k(b) be the third derivative of b**5/210 + 9*b**4/14 + 243*b**3/7 - 6*b**2 + 2*b. Factor k(g).
2*(g + 27)**2/7
Let y = 21 - 19. Factor -12 + 2*d**2 + y*d - 4*d**2 + 5*d + 3*d.
-2*(d - 3)*(d - 2)
Let y be -3 + ((-3927)/34)/(-7). Factor -9/2*s**2 - 15/2 + y*s - 3/2*s**3.
-3*(s - 1)**2*(s + 5)/2
Let v be (-1 - 1*-3)/((-82)/123). Let z be -1*(108/28 + -1 + v). Factor -z - 27/7*t**2 + 27/7*t**3 + 9/7*t.
(3*t - 1)**3/