2*(z - 4)*(z + 1)
Let p be (2 - -20) + (0 - -1). Let h be (56 + -56)/(-1 - 2). Factor p*l + h - 27*l + 2 + 2*l**2.
2*(l - 1)**2
Let k(g) be the second derivative of -g**5/10 - 13*g**4/3 - 169*g**3/3 + g - 6. What is h in k(h) = 0?
-13, 0
Factor -24*o**2 - 55*o + 3*o**4 + 21 + 92*o - 55*o + 18*o**3.
3*(o - 1)**2*(o + 1)*(o + 7)
Let g be (4/3)/((-10)/(-345)). Let q = -46 + g. What is f in q - 3/2*f + 9/2*f**2 + 3/2*f**3 - 9/2*f**4 = 0?
-1, 0, 1/3, 1
Suppose 14759 = -9*s + 14786. Factor 0*a**2 - 6/5*a**s + 0*a - 2/5*a**5 + 0 + 8/5*a**4.
-2*a**3*(a - 3)*(a - 1)/5
Suppose -8*z - 416 + 80 = 0. Let n be (3/(-7))/(((-144)/z)/(-6)). Factor 1/4*j**3 - n*j**2 - 1/4*j + 1/2 + 1/4*j**4.
(j - 1)**2*(j + 1)*(j + 2)/4
Let c(z) be the first derivative of -13 - 4/15*z**3 + 1/15*z**6 + 1/2*z**4 + 0*z**2 + 0*z - 8/25*z**5. Determine d so that c(d) = 0.
0, 1, 2
Let h = 20/7 + -4/21. Solve 0*j - 8/3*j**3 + h*j**5 + 2/3*j**2 - 2/3*j**4 + 0 = 0.
-1, 0, 1/4, 1
Let q be (-1400)/(-900) + 1/9. Let q*u**3 - 20/3*u**2 + 25/3*u - 10/3 = 0. What is u?
1, 2
Let i(y) be the first derivative of -48*y**4/5 + 20*y**3/3 - 6*y**2/5 - 40. What is l in i(l) = 0?
0, 3/16, 1/3
Let k(o) be the first derivative of o**5 + 25*o**4/4 - 20*o**3 - 200*o**2 - 320*o + 101. Suppose k(i) = 0. Calculate i.
-4, -1, 4
Let f be 188/6*(-15)/30. Let m = f + 338/21. Solve 2/7*p**2 + 8/7 - 1/7*p**4 - m*p**3 + 12/7*p = 0.
-2, -1, 2
Let g(p) = -p**2 - 39*p - 240. Let q be g(-8). Let t(r) be the third derivative of q*r**2 + 0*r + 0 - 1/72*r**4 + 1/360*r**5 - 1/12*r**3. Factor t(x).
(x - 3)*(x + 1)/6
Let q(g) be the third derivative of -g**6/120 - 11*g**5/40 - 67*g**4/48 + 7*g**3/2 + 68*g**2 - 3. Find f, given that q(f) = 0.
-14, -3, 1/2
Let n(f) be the second derivative of -f**6/20 + 3*f**5/40 + 9*f**4/8 - 9*f**3/4 + 129*f. Factor n(p).
-3*p*(p - 3)*(p - 1)*(p + 3)/2
Find i such that -8/17*i + 2/17*i**4 - 12/17*i**2 + 10/17 + 8/17*i**3 = 0.
-5, -1, 1
Suppose 27*p**2 + 2*p**3 - 3*p**3 + 5*p**3 - 6*p**3 + 3*p**3 - 28*p = 0. Calculate p.
-28, 0, 1
Let y be ((-15)/6*24/(-25))/((-44)/(-10)). What is m in -6/11*m - 2/11 + 4/11*m**3 + y*m**4 + 2/11*m**5 - 4/11*m**2 = 0?
-1, 1
Let i(j) be the third derivative of 1/45*j**5 - 1 - 2/9*j**3 - 9*j**2 + 0*j + 1/60*j**6 - 11/108*j**4 + 2/945*j**7. Find x such that i(x) = 0.
-3, -2, -1/2, 1
Let f(j) = -44*j**3 - 32*j**2 + 100*j + 10. Let i(h) = -3*h**2 + 1 - 9*h**3 + 16*h**3 + 9*h - 11*h**3. Let a(s) = 6*f(s) - 68*i(s). Factor a(k).
4*(k - 1)*(k + 2)*(2*k + 1)
Let k(l) be the second derivative of 3*l**5/20 - l**4 - l**3/2 + 6*l**2 + 37*l. Determine y, given that k(y) = 0.
-1, 1, 4
Let m(c) = -c**2 - 20*c + 23. Let t be m(-21). Factor z - 3*z**4 - 15*z**3 + 2*z**4 - 4*z**2 + 14*z**3 + 5*z**t.
-z*(z - 1)*(z + 1)**2
Suppose 3*m - 12 = -m. Let v(h) = -h**3 - 10*h**2 + 11*h + 6. Let b be v(-11). Determine n so that -3 - 4*n**4 - n**3 - 5*n**m + 7*n**4 + b*n = 0.
-1, 1
Let a(x) = -x + 22. Let n be a(5). Factor -13*v - 4*v**2 + 4*v**3 + 22*v - n*v.
4*v*(v - 2)*(v + 1)
Let c be ((-5)/10 + 0)/(7/(-56)). Let s(v) be the second derivative of 26/15*v**6 + 0 - 2/7*v**7 - 22/5*v**5 + 2*v**2 + c*v + 6*v**4 - 14/3*v**3. Factor s(o).
-4*(o - 1)**4*(3*o - 1)
Let z(u) be the first derivative of 5*u**6/6 + 2*u**5 - 65*u**4/4 + 50*u**3/3 + 65. Determine m, given that z(m) = 0.
-5, 0, 1, 2
Determine t, given that -44*t - 18*t + 2025 + 71*t + t**2 + 81*t = 0.
-45
Let d(i) be the second derivative of i**6/60 + i**5/40 - i**4/8 - i**3/12 + i**2/2 + 129*i. Factor d(u).
(u - 1)**2*(u + 1)*(u + 2)/2
Let k(x) = -4*x + 8*x**2 + 7 - 7*x - 6*x**2. Let y be k(5). Suppose 2*a**3 + 2*a**y + 3*a**2 + a**2 = 0. What is a?
-3, 0
Let p(k) be the second derivative of -k**7/147 - k**6/7 + k**5 - 55*k**4/21 + 25*k**3/7 - 19*k**2/7 + 244*k. Factor p(l).
-2*(l - 1)**4*(l + 19)/7
Let r be (-5 - 63/36*-4)*(-8)/(-9). Factor 4/9*u**2 - r*u + 4/3.
4*(u - 3)*(u - 1)/9
Factor 1/2*i + 1/6 + 1/6*i**3 + 1/2*i**2.
(i + 1)**3/6
Let o = 20851 - 125083/6. Let 7/3*j**2 + 1/2*j**3 - o*j + 1 = 0. Calculate j.
-6, 1/3, 1
Let t be 0/(-2)*(-4)/(-4). Let c be (8549/(-2988) - 30/(-27)) + 113/60. Factor t + c*v + 2/15*v**2.
2*v*(v + 1)/15
Suppose -2*b - 13 = 4*r + 3*b, 3*r - 3*b + 3 = 0. Let f be (0 + r)*(-9)/6. Factor -3*q**5 + 1 + 9*q - 6*q**2 - 4*q + 3*q**f - 11*q**4 - 17*q**3 - 4*q.
-(q + 1)**4*(3*q - 1)
Let d(v) be the first derivative of v**6/900 + v**5/60 + 4*v**3/3 - 13. Let c(z) be the third derivative of d(z). Factor c(h).
2*h*(h + 5)/5
Let d = 7/139 - -368/973. Find r such that d*r - 3/7*r**2 + 18/7 = 0.
-2, 3
Suppose -7*o + 2*o - 2*v + 11 = 0, 4*o = -3*v + 6. Let s = -112 - -115. Determine c so that o*c**3 + 8*c**2 + 0 - 11*c**2 + s - 3*c = 0.
-1, 1
Let x(r) = -26*r - 75. Let a be x(-3). Find s such that -3/7*s**4 - 3/7*s**a - 6/7 + 9/7*s**2 + 3/7*s = 0.
-2, -1, 1
Let 11*p - 2*p**2 + p + 0*p**2 - 3*p - 5 - 2*p**2 = 0. Calculate p.
1, 5/4
Let a = -1629 - -1632. Let j(k) be the second derivative of 0*k**2 - 1/36*k**4 + 1/90*k**6 + 0 + 1/60*k**5 + 7*k - 1/18*k**a. Determine f so that j(f) = 0.
-1, 0, 1
Suppose -72 - 1/2*v**2 + 12*v = 0. Calculate v.
12
Determine u, given that 110*u + 23*u**2 - 2 + 2*u**3 + 7*u**2 - 82*u + 2 = 0.
-14, -1, 0
Let j(z) be the third derivative of z**6/6 - 31*z**5/5 + 26*z**4/3 + 24*z**3 + 56*z**2 - 2. Determine a, given that j(a) = 0.
-2/5, 1, 18
What is t in 8*t**3 + 8/3 - 6*t**4 - 8*t + 10/3*t**2 = 0?
-1, 2/3, 1
Find f, given that -4/7*f**2 + 12/7 + 2/7*f = 0.
-3/2, 2
Solve -3/5*b**4 - 21/5*b**3 - 6*b**2 + 0*b + 0 = 0 for b.
-5, -2, 0
Let q(w) = -36*w**3 + 112*w**2 - 628*w + 952. Let i(m) = -2*m**3 + m**2 + 2*m - 1. Let l(g) = 16*i(g) - q(g). Factor l(y).
4*(y - 11)**2*(y - 2)
Let k(u) be the first derivative of -u**6/21 + 8*u**5/35 - u**4/14 - 4*u**3/7 - 15. Find t, given that k(t) = 0.
-1, 0, 2, 3
Let s(q) be the second derivative of 0 + 3/5*q**6 - 19/5*q**5 - 8*q**2 - 26*q + 38/3*q**3 - 1/6*q**4. Determine z, given that s(z) = 0.
-1, 2/9, 1, 4
Determine k so that -2/7*k + 0 + 2/7*k**3 + 0*k**2 = 0.
-1, 0, 1
Let t = -56/3 + 227/12. Find f such that 5/2*f**4 + t*f - f**2 + 0 - 3/4*f**3 + 2*f**5 = 0.
-1, 0, 1/4, 1/2
Suppose -23*u - 3*z - 65 = -27*u, 3*u + 4*z - 30 = 0. Let w be 7 - 8 - (-1 - 6/u). Factor 1/7*q**5 - 1/7*q**2 + 0 - w*q**4 + 0*q + 3/7*q**3.
q**2*(q - 1)**3/7
Let k(d) = 5*d**3 - 95*d**2 + 500*d - 410. Let p(z) = -5*z**3 + 95*z**2 - 499*z + 409. Let b(u) = -4*k(u) - 5*p(u). Factor b(s).
5*(s - 9)**2*(s - 1)
Let k(x) be the third derivative of 0*x**3 - 1/120*x**6 + 0*x + 5*x**2 + 1/30*x**5 + 0 + 0*x**4 - 1/210*x**7. Factor k(h).
-h**2*(h - 1)*(h + 2)
Let g(a) = 7*a**3 + 4*a**2 - 3*a. Let y = 134 - 137. Let w(v) = v**3 + v**2. Let f(u) = y*w(u) + g(u). What is k in f(k) = 0?
-1, 0, 3/4
Determine m, given that -21*m**3 - m + 6*m**3 + 2720*m**5 + 12*m**4 - 2717*m**5 + m = 0.
-5, 0, 1
Let 8/3*b**2 - 128*b + 2/3*b**4 + 8*b**3 + 512/3 = 0. Calculate b.
-8, 2
Let a be (12/10)/((-69)/(-230)). Let -1 - 1 - a + 4*j**2 + 2 = 0. What is j?
-1, 1
Let h(n) be the first derivative of 1089/2*n**2 + 3/4*n**4 - 33*n**3 - 3993*n + 5. Factor h(q).
3*(q - 11)**3
Factor 1/6*v**5 + 0 + 0*v - 1/6*v**3 + 2/3*v**4 - 2/3*v**2.
v**2*(v - 1)*(v + 1)*(v + 4)/6
Suppose -242*c + 880 = 154. Factor -1/3*m + 1/3*m**4 - m**c + m**2 + 0.
m*(m - 1)**3/3
Factor 40/3*v + 25/3*v**4 - 20/3*v**2 - 5/3*v**5 - 10*v**3 + 0.
-5*v*(v - 2)**3*(v + 1)/3
Let h be (-18)/(-21)*(-7)/(-2). Find s, given that -s - 59*s**h - s - 2*s**5 + 63*s**3 = 0.
-1, 0, 1
Let y(f) be the first derivative of f**6/45 + 2*f**5/75 - 320. Factor y(l).
2*l**4*(l + 1)/15
Let a(q) = -31*q**2 - 59*q + 35. Let c(t) = 3*t**2 - t + 3. Let i(b) = 2*a(b) + 22*c(b). Determine d so that i(d) = 0.
1, 34
Suppose 148 = 1137*g - 1100*g. Determine a so that 2/13*a**5 + 0*a**g - 4/13*a**3 + 0*a**2 + 0 + 2/13*a = 0.
-1, 0, 1
Let l be (3 + -2)/(11/((-99)/(-45))). Factor -j**3 + 1/5*j**4 - l*j**2 + 1/5*j**5 - 4/5 + 8/5*j.
(j - 1)**3*(j + 2)**2/5
Let m = -4510 - -4510. What is i in -3/5*i**2 + m - 1/5*i + 4/5*i**3 = 0?
-1/4, 0, 1
Let z(w) = 114*w + 7072. Let k be z(-62). Factor 2 + 16/9*n**3 + 16/3*n + 2/9*n**k + 44/9*n**2.
2*(n + 1)**2*(n + 3)**2/9
Let a be 64/14 + (-670)/70 + 10. Let g(y) be the third derivative of -1/10*y**6 + 2*y**2 + 0 + 1/2*y**3 + 0*y - 3/4*y**4 + 9/20*y*