 + 4/5*i**4 - 4/5*i**2 + 0*i**3 + 0.
4*i**2*(i - 1)*(i + 1)/5
Let d be (-2)/((-3 - -5) + -3). Suppose 0 = r - d - 4. Factor -o**2 + r*o + 3*o - 6*o.
-o*(o - 3)
Let p(w) be the first derivative of 1/3*w**5 - 5/2*w**4 + 20/3*w - 11 + 65/9*w**3 - 10*w**2. Factor p(i).
5*(i - 2)**2*(i - 1)**2/3
Let d be 2/((-154)/(-55) + -5)*22/(-4). Factor -2/7*k**d - 2/7*k - 2/7 - 2/7*k**4 + 4/7*k**2 + 4/7*k**3.
-2*(k - 1)**2*(k + 1)**3/7
Let z be 1356/(-2147)*19*-1*(-2)/(-12). Factor -2/9*l**2 - z*l - 16/9.
-2*(l + 1)*(l + 8)/9
Factor 6/11*w**3 + 0*w - 2/11*w**5 + 0*w**4 + 0 - 4/11*w**2.
-2*w**2*(w - 1)**2*(w + 2)/11
Let a be 24*(1 - (-1)/(-2)). Let d(y) be the second derivative of 0 + 0*y**4 - 1/20*y**5 - 1/60*y**6 + 1/6*y**3 - a*y + 1/4*y**2. Solve d(g) = 0 for g.
-1, 1
Let h(q) be the second derivative of 0 - q + 0*q**3 - 1/18*q**4 + 4/3*q**2. Factor h(w).
-2*(w - 2)*(w + 2)/3
Let y(d) be the third derivative of d**11/582120 + d**10/66150 + d**9/35280 + 7*d**5/30 + 7*d**2. Let q(i) be the third derivative of y(i). Factor q(j).
4*j**3*(j + 1)*(j + 3)/7
Let y(v) be the second derivative of 25*v**4/12 + 5*v**3/3 - 15*v**2/2 - 3*v + 10. Solve y(k) = 0.
-1, 3/5
Let m = 38 + -32. Let k(a) be the first derivative of -3*a**4 + m - 8*a + 6*a**2 + 4/3*a**3 + 4/5*a**5. Factor k(r).
4*(r - 2)*(r - 1)**2*(r + 1)
Let n be 2 + -3 + -2 + -11. Let t be (-8)/12*6/n. Suppose 4/7*c**3 + 2/7*c**4 + t*c**2 + 0*c + 0 = 0. What is c?
-1, 0
Let n(j) = -j**3 + 7*j**2 + 5. Let d be (-5)/25 + (-108)/(-15). Let r be n(d). Factor -12*t**4 + 12*t**r + 8*t**3 + 0*t**4 + 8*t**2 - 8*t**5 - 12*t + 4.
4*(t - 1)**4*(t + 1)
Suppose 77*j - 79*j = 0. Let r(x) be the third derivative of -1/420*x**5 - 1/168*x**4 + 0 + 0*x**3 - 8*x**2 + j*x. Determine y so that r(y) = 0.
-1, 0
Let z(y) be the first derivative of -y**4 + 8*y**3 - 10*y**2 - 169. Solve z(m) = 0 for m.
0, 1, 5
Let g(t) be the second derivative of 7*t**5/220 - 19*t**4/132 - 38*t**3/33 - 10*t**2/11 + 233*t. Factor g(a).
(a - 5)*(a + 2)*(7*a + 2)/11
Let j(d) = -d**2 - 20*d - 17. Let g be j(-19). Solve -8*n - 6*n**g + 8*n**3 - n**3 + n**3 + 8 + 0*n**3 - 2*n**4 = 0 for n.
-1, 1, 2
Let l = 17 + -8. Let b be 16/(-6)*l/(-12). Find v, given that 0*v - 20*v**b - v**2 + 2*v + 7*v + 12 = 0.
-4/7, 1
Let w be -9 - (7 - 7) - (2 - 11). Suppose w + 1/3*k + 1/6*k**2 + 1/6*k**5 - 1/2*k**3 - 1/6*k**4 = 0. What is k?
-1, 0, 1, 2
Suppose 8*n = 3*n + 5*b + 10, 0 = -2*b. Factor -1/7*f**n + 4/7*f + 0.
-f*(f - 4)/7
Let c be 0 - 6 - (-15 + 7 - 5). Let m(h) be the third derivative of 5/24*h**4 + 1/30*h**6 - c*h**2 - 1/6*h**3 + 0*h + 0 - 2/15*h**5. Factor m(f).
(f - 1)*(2*f - 1)**2
Suppose 3*i + 95*i = 17*i + 243. Factor -7/4*b**i + 3/2*b**2 + 0*b + 0*b**4 + 1/4*b**5 + 0.
b**2*(b - 2)*(b - 1)*(b + 3)/4
Let s be (-6)/(-27) + (-232)/(-9). Suppose 3*d - 5*r - s = -0*d, -5*d - 3*r - 2 = 0. Factor 0*v**2 + 4/3 + 2/3*v**3 - d*v.
2*(v - 1)**2*(v + 2)/3
Let l = -28442 + 199095/7. Determine b, given that -l*b**3 + 1/7*b + 4/7*b**2 - 4/7 = 0.
-1, 1, 4
Let d(u) be the third derivative of u**8/168 + u**7/7 + 19*u**6/30 + 4*u**5/5 - 63*u**2. Let d(g) = 0. What is g?
-12, -2, -1, 0
Factor -6/7*w**2 + 0*w + 0 + 3/7*w**3.
3*w**2*(w - 2)/7
Factor 0 + 0*r + 2/3*r**3 + 10/3*r**2.
2*r**2*(r + 5)/3
Let p(i) be the second derivative of i**8/1680 + i**7/504 + i**6/720 - 13*i**4/3 - 3*i - 1. Let h(z) be the third derivative of p(z). Factor h(x).
x*(x + 1)*(4*x + 1)
Let k(t) = -3*t**3 + 15*t**2 - 18*t - 3. Let o(h) = 3*h**3 - 14*h**2 + 19*h + 4. Let q(v) = -4*k(v) - 3*o(v). Factor q(i).
3*i*(i - 5)*(i - 1)
Let -27*k**3 + 23*k**4 - 21*k + 4*k**4 - 30*k**4 - 45*k**2 = 0. What is k?
-7, -1, 0
Let i(k) be the first derivative of -2 - 5*k - 5*k**3 + 5/4*k**4 + 15/2*k**2. Factor i(q).
5*(q - 1)**3
Suppose 0 = 6*z - 3*z + 45. Let h = z - -19. What is p in 1/2*p**3 + 0*p + 1/2*p**h + 0 + 0*p**2 = 0?
-1, 0
Let p(v) = v**2 - v + 1. Suppose 5*n - 32 = 28. Let h(m) = -5*m**2 + 5*m + 2. Let c(y) = n*p(y) + 3*h(y). Factor c(f).
-3*(f - 3)*(f + 2)
Let r(s) = 3*s**2 + s + 3. Let a be r(0). Let y(x) be the third derivative of -2/27*x**4 - 1/270*x**5 + 0*x - 3*x**2 - 16/27*x**a + 0. Factor y(d).
-2*(d + 4)**2/9
Let p(n) = 9*n**4 - 540*n**3 - 1410*n**2 - 900*n - 78. Let a(j) = -j**4 + 54*j**3 + 141*j**2 + 90*j + 8. Let m(g) = 39*a(g) + 4*p(g). Factor m(c).
-3*c*(c + 1)*(c + 2)*(c + 15)
Let k(g) be the third derivative of -61/105*g**5 + 3*g**2 - 8/21*g**3 + 0*g + 1/15*g**7 + 0 - 5/7*g**4 - 1/20*g**6. Find n such that k(n) = 0.
-1, -2/7, 2
Let b(x) be the second derivative of 0 - 3/4*x**2 - 1/3*x**3 + 4*x - 1/24*x**4. Factor b(f).
-(f + 1)*(f + 3)/2
Let z(q) be the first derivative of -47 + 2/35*q**5 - 2/7*q**3 + 8/7*q + 1/7*q**4 - 4/7*q**2. Find r, given that z(r) = 0.
-2, 1
Suppose 5*d - 12 - 13 = 0. Let a(x) = x**3 + 7*x**2 - x - 2. Let s be a(-7). Find f such that -3*f**4 - 4*f**s + 3*f**d + 3*f**5 + f**4 = 0.
0, 1
Let f be (2 - 1)/(1/2). Suppose w + 3*w = -f*k + 32, 0 = -3*w + 4*k + 35. Let 10 - t - 4 - t - w + t**2 = 0. Calculate t.
-1, 3
Suppose -5*x = 4*v - 16 + 388, 0 = v - 4*x + 72. Let f be -1 + v/(-10) - (-12)/(-4). Factor 27/5*q**4 - 12*q**2 + 0 + f*q + 18/5*q**3.
3*q*(q + 2)*(3*q - 2)**2/5
Suppose 4*l - 4*o - 23 = 5, -2*l - 5*o = 21. Factor -9 + c**2 + 2*c + 13 + l*c.
(c + 2)**2
Suppose -12 = -3*i - 5*u, 3*i + 0*u - 12 = -4*u. Let p(z) be the first derivative of -8/27*z**3 - 1/18*z**4 + i - 4/9*z**2 + 0*z. Solve p(n) = 0.
-2, 0
Let c(p) be the first derivative of 0*p**2 + 1/9*p**3 + 0*p**4 - 53 - 1/15*p**5 + 0*p. Let c(r) = 0. What is r?
-1, 0, 1
Let t = -62 - -64. Factor -12*b - b**3 - 3*b**4 + 14*b**3 + 3*b**t + 0*b**4 - b**3.
-3*b*(b - 4)*(b - 1)*(b + 1)
Let o = 21 - 19. Factor 10 - 2*j**2 - 7*j**2 + o + 26*j - j**2.
-2*(j - 3)*(5*j + 2)
Find t, given that -5/2*t**2 + 3/2 - 1/4*t - 3/4*t**3 = 0.
-3, -1, 2/3
Let b(p) be the first derivative of 3/8*p**4 + 2*p**3 + 0*p - 15/4*p**2 - 6. Determine q, given that b(q) = 0.
-5, 0, 1
Suppose 6*i = 7*i - 21. Let b = i - 17. Factor -2/3*f**b + 0*f**3 + 0*f + 2/3*f**2 + 0.
-2*f**2*(f - 1)*(f + 1)/3
Let n be (-568)/946 - 6/(-33). Let z = 212/301 + n. Factor -4/7*x + 0 + 4/7*x**3 + z*x**4 - 2/7*x**2.
2*x*(x - 1)*(x + 1)*(x + 2)/7
Let c(i) = 9*i - 19. Let o(r) = 5*r - 10. Let p(n) = -2*c(n) + 5*o(n). Let f be p(2). Suppose -1/4*s**f - 2*s - 4 = 0. What is s?
-4
Suppose 15*z**2 + 19*z**2 - 1 + 10 + 11 - 8 + 46*z = 0. Calculate z.
-1, -6/17
Let i(k) be the third derivative of k**6/30 + k**5/2 - 9*k**4/4 + 671*k**2. Factor i(h).
2*h*(h + 9)*(2*h - 3)
Find o such that -1/4*o**2 - 15/4 + 1/4*o**3 - 17/4*o = 0.
-3, -1, 5
Let k = 240 - 367. Let o = k - -127. Factor o*x**4 + 0 + 1/3*x**3 - 1/6*x + 0*x**2 - 1/6*x**5.
-x*(x - 1)**2*(x + 1)**2/6
Let r(h) = -5*h - 60. Let f be r(-12). Let i(z) be the first derivative of -1 - 2/5*z**5 + 0*z**2 - 2*z + 4/3*z**3 + f*z**4. Solve i(p) = 0 for p.
-1, 1
Determine q so that 3/7*q**2 + 0*q + 0 = 0.
0
Let q be (0 - -1)/((-13)/130). Let x = 12 + q. Factor -2/7*k + 0 + 2/7*k**x.
2*k*(k - 1)/7
Factor -1/3*f**4 + 0 + 0*f + 5/3*f**3 + 0*f**2.
-f**3*(f - 5)/3
Factor -1/7*p**2 - 51/7 - 52/7*p.
-(p + 1)*(p + 51)/7
Factor -6405/2*n - 18605/6 - 5/6*n**3 - 205/2*n**2.
-5*(n + 1)*(n + 61)**2/6
Factor -8/5*z**2 + 4*z + 1/5*z**3 - 16/5.
(z - 4)*(z - 2)**2/5
Let l = 944/23 - 2809/69. Find q, given that 5/3*q**3 - l + 4/3*q**4 - q**2 - 5/3*q = 0.
-1, -1/4, 1
Let q(l) be the first derivative of 2*l**6/21 + 52*l**5/35 + 11*l**4/7 - 52*l**3/21 - 24*l**2/7 - 54. Solve q(t) = 0.
-12, -1, 0, 1
Let 3/7 - 8/7*a + 0*a**2 - 3/7*a**4 - 2/7*a**5 + 10/7*a**3 = 0. Calculate a.
-3, -1, 1/2, 1
Let s = -259 - -46621/180. Let f(a) be the third derivative of 0*a**3 + 0*a - 8*a**2 + s*a**5 - 1/72*a**4 + 0. Factor f(h).
h*(h - 1)/3
Let h = -7666/3 - -2582. Let g = 27 - h. Suppose 0*l + 0 - g*l**2 = 0. What is l?
0
Factor -249*c - 12*c**2 - 23*c + 16*c**2.
4*c*(c - 68)
Let k be (96/(-120))/((-8)/60). Let v(q) be the third derivative of 0 - 2/15*q**5 + 0*q + 0*q**3 + 1/2*q**4 - 7*q**2 - 1/30*q**k. Let v(f) = 0. What is f?
-3, 0, 1
Let m(r) be the second derivative of -r**9/90720 - r**8/20160 + r**6/2160 + r**5/720 - r**4/3 - r. Let x(p) be the third derivative of m(p). Factor x(i).
-(i - 1)*(i + 1)**3/6
Let u be 7 - (-14)/(-21)*6. Suppose 0 = 5*i - 4*i - u. Suppos