, 1
Let i = 118 + -163. Let p(n) = 10*n**4 - 10*n**3 - 55*n**2 + 10*n. Let g(j) = j**4 - j**3 - 5*j**2 + j. Let x(f) = i*g(f) + 4*p(f). Suppose x(t) = 0. What is t?
-1, 0, 1
Let d = -24 + 13. Let h = d - -15. Factor -7*p**h - p + 3*p + 2*p**3 - 2*p.
-p**3*(7*p - 2)
Let p(s) = 3*s + 2. Let y be p(-3). Let g = -5 - y. Determine l, given that l**g + 12 + l**2 - 14 = 0.
-1, 1
Let n(h) = -3*h**2 - 5*h + 418. Let z be n(11). Factor 2/17*p**3 + 0*p + 2/17*p**2 + z.
2*p**2*(p + 1)/17
Let g(h) = h**3 + 18*h**2 + 59*h + 44. Let j be g(-14). Let x(q) be the first derivative of 0*q + 1/12*q**3 + 0*q**j + 4. Let x(z) = 0. Calculate z.
0
Let q(z) be the third derivative of 1/72*z**5 - 1/720*z**6 + 1/9*z**3 + 0*z - 1/18*z**4 + 0 - 4*z**2. Factor q(l).
-(l - 2)**2*(l - 1)/6
Factor 92*y + 304 - 22530*y**2 + 11268*y**2 + 11266*y**2.
4*(y + 4)*(y + 19)
Suppose -22 = 44*m - 242. Let k(o) be the second derivative of 0 + 0*o**2 + 0*o**6 + 0*o**4 + 0*o**3 - 8*o - 1/105*o**7 + 1/50*o**m. Solve k(d) = 0 for d.
-1, 0, 1
Let v(d) = -21*d + 88. Let y be v(4). Let p(s) be the third derivative of s**2 + 0 - 1/36*s**y + 0*s + 1/6*s**3 - 1/180*s**5. Solve p(k) = 0 for k.
-3, 1
Let n(u) be the third derivative of u**7/525 + u**6/120 - u**4/24 - u**3/15 + u**2 - 18. Solve n(f) = 0 for f.
-2, -1, -1/2, 1
Let q(y) be the first derivative of y**6/2 - 16*y**5/5 + 15*y**4/4 + 2*y**3 - 4*y**2 - 88. Factor q(o).
o*(o - 4)*(o - 1)**2*(3*o + 2)
Let a(h) be the second derivative of h**4/6 + h**3/3 + 12*h + 5. Factor a(m).
2*m*(m + 1)
Let a be ((-32)/20)/(96/(-120)). Factor -5/3*b + 0*b**a + 5/3*b**3 + 0.
5*b*(b - 1)*(b + 1)/3
Let m = 254483/6786 + -4/3393. Let 57/2*t**3 + 3/2*t**5 + m*t**2 + 6 + 24*t + 21/2*t**4 = 0. Calculate t.
-2, -1
What is k in -60*k - 30*k**3 + 18 + 9/2*k**4 + 135/2*k**2 = 0?
2/3, 1, 2, 3
Factor -1/2*v - 6 + 5/4*v**2 + 1/4*v**3.
(v - 2)*(v + 3)*(v + 4)/4
Let h(k) be the third derivative of -k**5/20 + k**4/8 - 367*k**2. Factor h(l).
-3*l*(l - 1)
Let i(m) = 24*m + 72. Let k be i(-3). Let 0 + k*g**2 + 2/7*g**3 - 2/7*g = 0. What is g?
-1, 0, 1
Let r be 12/82*(-79)/(-9). Let d = r - -2/41. Factor 4/3 - d*k + 1/3*k**2.
(k - 2)**2/3
Let q(p) be the second derivative of -1/8*p**4 - 1/6*p**3 + 26*p + 0 + 0*p**5 + 0*p**2 + 1/60*p**6. Factor q(g).
g*(g - 2)*(g + 1)**2/2
Factor -148/5*y - 4/5*y**2 + 0.
-4*y*(y + 37)/5
Suppose 2*q + 4*l = -3 - 3, 3*q - 5*l = 13. Let m be (q - 1) + 90/6. Factor 19*p**2 + 3*p - m*p**2 - 3*p.
4*p**2
Factor 4*u**2 + 1/4*u**3 + 7*u + 0.
u*(u + 2)*(u + 14)/4
Let v = 514/3 - 171. Let x(q) be the first derivative of -8 - 1/9*q**3 + 1/12*q**4 + v*q - 1/6*q**2. Determine y, given that x(y) = 0.
-1, 1
Let a = 31211/21 + -1487. Let f = a - -40/21. Find k such that -f - 2/7*k**2 - 8/7*k = 0.
-2
Let g(p) = p**3 + 8*p**2 + p + 11. Let k be g(-8). Solve 1 + 3*z**3 - k*z - 3 + z**4 + 0*z + z**2 = 0 for z.
-2, -1, 1
Let i(h) = 7*h**3 + 218*h**2 - 2*h + 2. Let a(v) = 22*v**3 + 653*v**2 - 7*v + 7. Let j(f) = -2*a(f) + 7*i(f). Find p such that j(p) = 0.
-44, 0
Let y be (-4)/((-24)/117)*99/(-54). Let d = -35 - y. Factor 5/4*o**2 - 1/4*o**3 + d - 7/4*o.
-(o - 3)*(o - 1)**2/4
Let y(x) be the second derivative of -x**6/20 - 9*x**5/20 + 8*x**3 - 136*x. Factor y(c).
-3*c*(c - 2)*(c + 4)**2/2
Factor 5/9*m**2 + 1/9*m + 0.
m*(5*m + 1)/9
Solve -235/2*x**2 - 5/2*x**4 - 155/4*x - 325/4*x**3 + 0 = 0.
-31, -1, -1/2, 0
Let g(x) = x**3 + 8*x**2 + 8*x - 22. Let k be g(-6). Find j such that 14*j**5 + 4*j**k - 3*j - 4*j**4 - 7*j**5 + j - 5*j**5 = 0.
-1, 0, 1
Let n(o) be the second derivative of o**4/28 - 57*o**3/7 - 633*o. Suppose n(p) = 0. What is p?
0, 114
Suppose 0 = -4*h + 3*b + 5, 5 - 1 = 4*b. Suppose -r + 13 = 3*r - d, -2*r + 14 = -h*d. Factor 9 - 3*j**4 + 4*j**4 - 2*j**r - 8.
(j - 1)**2*(j + 1)**2
Let h(k) be the third derivative of -1/6*k**4 + 0*k + 0*k**3 - 1/15*k**5 + 0 - 3*k**2. Find j, given that h(j) = 0.
-1, 0
Let q(n) be the first derivative of 20*n**3/7 + 236*n**2/7 - 64*n/7 + 71. Factor q(k).
4*(k + 8)*(15*k - 2)/7
Let l = -53 + 56. Suppose l*g - 16 = 2*p - 2*g, 3*p + 4*g - 22 = 0. What is o in -1/8*o + 0*o**p + 0 + 1/8*o**3 = 0?
-1, 0, 1
Let w(x) be the first derivative of -4*x**5/5 + 9*x**4 - 28*x**3/3 - 18*x**2 + 32*x + 100. Factor w(t).
-4*(t - 8)*(t - 1)**2*(t + 1)
Let t(o) be the second derivative of -o**4/30 + 4*o**3/15 + o**2 - 2*o - 3. Factor t(l).
-2*(l - 5)*(l + 1)/5
Let d be ((-5)/15*4)/(6/(-27)). Let p be (d + 1)*12/42. Factor -k**p + 0 - 1/3*k + 4/3*k**3.
k*(k - 1)*(4*k + 1)/3
Let i(l) = -5*l**4 - 25*l**3 - 32*l**2 + 22*l + 42. Suppose 0 = -3*t + 4 - 1. Let m(r) = r**2 - r - 1. Let d(w) = t*i(w) + 2*m(w). Factor d(k).
-5*(k - 1)*(k + 2)**3
Let x(l) be the third derivative of -l**8/168 + 13*l**7/105 + l**6/30 - 13*l**5/15 - l**4/12 + 13*l**3/3 - 257*l**2. Solve x(d) = 0.
-1, 1, 13
Let p(s) be the third derivative of s**7/280 - s**6/24 + s**5/5 - s**4/2 - 3*s**3/2 + 19*s**2. Let w(y) be the first derivative of p(y). Factor w(h).
3*(h - 2)**2*(h - 1)
Let n(v) be the third derivative of -v**4/24 + 4*v**3 + v**2 + 54*v. Let r be n(24). Factor 1/2*b**2 + r*b - 2.
(b - 2)*(b + 2)/2
Suppose 0 = -4*j + 4*w - 4, -w = -j - 5*w + 14. Let i(x) be the second derivative of 0 + x + 2*x**j + 11/3*x**3 + 2/5*x**5 + 13/6*x**4. Let i(h) = 0. What is h?
-2, -1, -1/4
Let u(q) = -q**2 - 26*q - 6. Let b be u(-25). Let t be 1/(-2) + b/14. Factor -2/7 - t*x - 10/7*x**3 + 18/7*x**2.
-2*(x - 1)**2*(5*x + 1)/7
Let l be (28/24 - (-3)/(-6))*108. Factor -32 + l + 3*z - 13*z - 5*z**2.
-5*(z - 2)*(z + 4)
Suppose 0 = -4*a - c + 2 + 58, -4*a - 4*c + 72 = 0. Solve a + 1 - 20*q + q**2 + q**2 + 3*q**2 = 0 for q.
1, 3
Let i be ((-56)/196)/((-6)/7). Let g(p) be the first derivative of 1/9*p**3 + i*p**2 - 4 + 0*p. Let g(o) = 0. Calculate o.
-2, 0
Let y = 24 - 18. Suppose -y*v + 4*v = 0. Factor 2/9*h**2 + v*h - 2/9.
2*(h - 1)*(h + 1)/9
Let y(k) be the second derivative of -2*k**6/15 - 2*k**5/5 + 9*k**4 - 104*k**3/3 + 56*k**2 - 594*k. Find s such that y(s) = 0.
-7, 1, 2
Let r = -14752/2445445 - -6/6191. Let c = 472/395 - r. Factor -6/5*b**3 + c*b + 3/5 - 3/5*b**4 + 0*b**2.
-3*(b - 1)*(b + 1)**3/5
Suppose 0 = 14*m - 7*m - 651. Let b = -91 + m. Suppose -27/2*i**b + 21/2*i + 3 = 0. Calculate i.
-2/9, 1
Let p(j) = -11*j**3 - 49*j**2 - 195*j - 231. Let r(g) = g**3 - g**2 + 1. Let q(o) = -p(o) - 6*r(o). Factor q(k).
5*(k + 3)**2*(k + 5)
Let t(v) be the third derivative of -v**5/60 - 29*v**4/12 - 841*v**3/6 + 66*v**2. Let t(x) = 0. Calculate x.
-29
Let v(d) be the second derivative of -d**7/12600 - d**6/450 - 2*d**5/75 - 5*d**4/12 + 9*d. Let x(w) be the third derivative of v(w). Solve x(z) = 0 for z.
-4
Factor 84*z - 196/3 - 1/3*z**4 - 109/3*z**2 + 6*z**3.
-(z - 7)**2*(z - 2)**2/3
Let k(j) be the first derivative of 2*j**3 + 0*j - 2*j**2 - 1/2*j**4 - 2. Solve k(d) = 0 for d.
0, 1, 2
Suppose -35*v = 4*c - 40*v - 23, -9 = 3*v. Factor 0*g - 1/4*g**4 - 1/4*g**3 + 0 + 0*g**c.
-g**3*(g + 1)/4
Suppose -3*h = -3, 3*i - 4*h + 7*h = 3. Let q be (0 - 9/6)*(-44)/33. Factor 2*s**q + i - 4*s + 6 - 4*s**2 + 0*s**2.
-2*(s - 1)*(s + 3)
Let f(o) be the first derivative of 33*o**2 + 15*o**5 + 2*o**6 - 15 + 52*o**3 + 81/2*o**4 + 9*o. Determine j so that f(j) = 0.
-3, -1, -1/4
Suppose 0 = -q - 3*s + 57, 4*q + 4*s - 214 = 6*s. Determine y, given that 4*y - q*y**2 - 47*y**2 - 5 + 102*y**2 = 0.
-5, 1
Let w be -1*(2 - 4) + (-25 - -25). Let n(q) = -q**3 + q**2 - q + 1. Let v be n(1). Factor -w*s**5 + 2*s**4 + 4*s**5 + v*s**5.
2*s**4*(s + 1)
What is d in 1/2*d**5 + 5*d**2 + 5/2*d + 5/2*d**4 + 1/2 + 5*d**3 = 0?
-1
Let g be 3 - (-235)/(-84) - (-20)/(-120). Let q(c) be the third derivative of -12*c**2 + 1/140*c**5 + 0*c - 3/14*c**3 - g*c**4 + 0. Solve q(r) = 0 for r.
-1, 3
Let q = 2/11409 + 50706/3803. Factor -q*f - 4/3*f**2 - 100/3.
-4*(f + 5)**2/3
Let d(s) be the third derivative of -s**5/20 + 61*s**4/2 - 7442*s**3 + 250*s**2. Suppose d(i) = 0. Calculate i.
122
Let h = -59 - -79. Suppose z + 9*z - h = 0. Let 3*p**z - 6/5*p + 0 = 0. What is p?
0, 2/5
Suppose 0 + 0*w - 4*w**2 - 1/3*w**4 - 8/3*w**3 = 0. Calculate w.
-6, -2, 0
Let g(j) = -8*j**4 - 13*j**3 + 17*j**2 + 4*j - 15. Let i(p) = -9*p**4 - 14*p**3 + 16*p**2 + 2*p - 15. Let n(y) = 4*g(y) - 3*i(y). Factor n(a).
-5*(a - 1)**2*(a + 1)*(a + 3)
Let t(i) be the second derivativ