tive of -2*p**3 + 5/2*p**4 - 2/5*p**6 + 5*p + 1/14*p**7 - 12*p**h + 3/20*p**5 + 0. Let x(f) = 0. What is f?
-1, 2
Let i be -5 - (102 + 2) - (1 + 4). Let z be 140/i - 144/(-108). Factor 2/19*n**2 + 0 - z*n.
2*n*(n - 1)/19
Let g(o) = o**2 - 51*o - 156. Let l be g(54). Let j(s) be the first derivative of -4/3*s**3 + 4/5*s**5 + 0*s**2 + 0*s - s**4 + 2/3*s**l + 7. Factor j(r).
4*r**2*(r - 1)*(r + 1)**2
Let v(h) be the third derivative of -h**9/20160 - h**8/840 - h**7/105 + h**5/10 - 4*h**2. Let u(n) be the third derivative of v(n). Factor u(j).
-3*j*(j + 4)**2
Factor 36*k**5 + 1198*k**2 - 1102*k**2 - 301*k**3 + 168*k**4 + 29*k**3.
4*k**2*(k + 6)*(3*k - 2)**2
Let a = 611/2 + -305. Let c(i) be the first derivative of 7 + 0*i**3 + 0*i**2 + 0*i + a*i**4. Solve c(n) = 0.
0
Let q = -18 + 21. Find z such that -5*z**2 - z**q + 9*z - 13*z - 5*z**2 - 5*z**3 = 0.
-1, -2/3, 0
Suppose -6252 = 175*i - 6602. Factor 2 - 2/3*p**i + 4/3*p.
-2*(p - 3)*(p + 1)/3
Let k(x) be the first derivative of 4/5*x + 23/10*x**4 - 6/25*x**5 - 14/15*x**6 + 2/15*x**3 + 13 - 9/5*x**2. Determine a, given that k(a) = 0.
-1, 2/7, 1/2, 1
Let s(p) be the third derivative of 0 - 16*p**2 - 3/52*p**4 - 1/130*p**5 - 5/39*p**3 + 0*p + 1/780*p**6. Factor s(o).
2*(o - 5)*(o + 1)**2/13
Let b = 219 - 216. Suppose 0 = -b*s + 3, -f + 6*s - 3*s = -1. What is x in -4/3*x**3 + x**2 - x**f + 0 + 2/3*x**5 + 2/3*x = 0?
-1, -1/2, 0, 1, 2
Let j(d) = d**3 + 7*d**2 + 5*d - 2. Let q be j(-6). Factor -4*x**2 + x**3 - 5*x**3 + 64*x**4 + q*x - 60*x**4.
4*x*(x - 1)**2*(x + 1)
Let j(y) be the first derivative of -1/8*y**4 + 15 - 1/2*y**2 + 0*y - 1/2*y**3. Solve j(o) = 0 for o.
-2, -1, 0
Let s(z) be the first derivative of -z**5 - 15*z**4/4 + 20*z**3/3 + 30*z**2 + 28. Factor s(l).
-5*l*(l - 2)*(l + 2)*(l + 3)
Determine l, given that -2*l**3 + 0 + 1/2*l**4 + 5/2*l**2 - l = 0.
0, 1, 2
Let n(s) = 3*s + 56. Let h be n(-8). Factor -270*t**2 - h*t**3 + 127 - 540*t - 7*t**4 + 2*t**4 - 532 - 28*t**3.
-5*(t + 3)**4
Let y(r) be the second derivative of r**7/399 - r**6/570 - 6*r**2 - 8*r. Let f(i) be the first derivative of y(i). Suppose f(m) = 0. What is m?
0, 2/5
Factor 1/2*g**2 + 1/2*g + 0.
g*(g + 1)/2
Let h(a) be the first derivative of a**6/2 - 9*a**5/5 - 111*a**4/4 + 191*a**3 - 396*a**2 + 336*a + 157. Find t such that h(t) = 0.
-7, 1, 4
Factor -121*u - 3*u**3 - 93*u + 2*u**4 - 16*u + 41*u + 99*u**2 - 5*u**4.
-3*u*(u - 3)**2*(u + 7)
Suppose 196 - 721 = 5*t. Let d be ((-56)/t)/(1/10). Suppose 20/3*q**2 - 64/3*q + 28/3*q**3 + d = 0. What is q?
-2, 2/7, 1
Suppose 0 = 2*m - 28 - 44. Factor 19*v**3 - m*v**3 + 3*v - 6*v**2 + 20*v**3.
3*v*(v - 1)**2
Let a(u) be the third derivative of 0*u**3 + 0 - 1/660*u**6 + 1/55*u**5 + 9*u**2 + 0*u - 3/44*u**4. Factor a(x).
-2*x*(x - 3)**2/11
Let k be (-46)/(-12) - 4/(-24). Let d be k + 2 - (8 - 4). Factor -i**5 - 2*i + 2*i - i + 6 + d*i**4 + 2*i**3 - 4*i**2 - 4.
-(i - 2)*(i - 1)**2*(i + 1)**2
Let b(a) be the first derivative of a**3/3 + 5*a**2/2 - 14*a + 274. Factor b(m).
(m - 2)*(m + 7)
Let w(q) be the third derivative of -q**7/1995 - 2*q**6/57 - 119*q**5/190 + 147*q**4/38 + 7*q**2. Factor w(s).
-2*s*(s - 2)*(s + 21)**2/19
Let a be 2000/840 + 4/14. Determine t so that -6*t + 10/3*t**2 + a = 0.
4/5, 1
Solve -216/11*r**2 - 294/11 + 36/11*r**3 + 476/11*r - 2/11*r**4 = 0.
1, 3, 7
Let f(s) = -s - 3. Let i be f(-5). Let w(n) = 5*n + n - 3*n - i*n. Let g(u) = 3*u**2 + 9*u. Let o(z) = g(z) - 12*w(z). Determine p so that o(p) = 0.
0, 1
Let c(v) be the first derivative of 0*v - 11/40*v**5 - 14 + 1/12*v**6 - 1/16*v**2 + 9/32*v**4 - 1/24*v**3. Let c(r) = 0. What is r?
-1/4, 0, 1
Find x, given that 656/5*x + 672/5*x**2 + 4/5*x**4 + 0 + 36*x**3 = 0.
-41, -2, 0
Let t be -6*(128/(-48) - (-3)/3*2). Find p, given that 0 - 2/5*p**t - 2*p**3 - 16/5*p**2 - 8/5*p = 0.
-2, -1, 0
Let s(k) be the third derivative of k**6/30 - 13*k**5/15 + 22*k**4/3 - 64*k**3/3 - 56*k**2. Factor s(a).
4*(a - 8)*(a - 4)*(a - 1)
Let b(v) be the third derivative of 0 - 3*v + 1/30*v**5 + 6*v**2 + 0*v**4 - 4/3*v**3. Solve b(u) = 0.
-2, 2
Let g(c) be the third derivative of 1/6*c**4 + 1/45*c**5 + 0 - 4*c**2 + 0*c + 4/9*c**3. Factor g(j).
4*(j + 1)*(j + 2)/3
Let r(b) be the first derivative of -b**6/24 + b**5/3 - 5*b**4/6 + 15*b**2/2 - 5. Let d(o) be the second derivative of r(o). Factor d(k).
-5*k*(k - 2)**2
Let q(w) = 48*w**2 - 57*w + 6. Let m(d) = -97*d**2 + 116*d - 12. Let g(h) = -3*m(h) - 7*q(h). Determine i, given that g(i) = 0.
2/15, 1
Let o(h) = 2*h**3 - h + 1. Let w(l) = l**4 - 6*l**3 + 90*l**2 - 205*l + 130. Let c(z) = 5*o(z) - w(z). Factor c(u).
-(u - 5)**3*(u - 1)
Suppose 175 = t + 55. Suppose -130 = -2*g - t. Determine y so that -2*y**2 + 8/7 + 6/7*y**4 + 2/7*y**3 + 0*y - 2/7*y**g = 0.
-1, 1, 2
Let o be (13/((-260)/(-24)))/(3/20). Suppose -4*b = -q - 16, 3*q - 2*b = -0*q - o. Let 0*c + q - 2/3*c**2 = 0. Calculate c.
0
Factor -36 - 3*r**2 + r**2 - 2185*r + 2163*r.
-2*(r + 2)*(r + 9)
Let s(k) = -5 + 3*k - 5 + 10 + 3*k**3 - 4*k**2. Let i(g) = 10*g**3 - 13*g**2 + 10*g. Let a(c) = 4*i(c) - 14*s(c). Suppose a(p) = 0. Calculate p.
0, 1
Let t(i) be the second derivative of i**4/24 + 17*i**3/2 + 2601*i**2/4 - 111*i. Find d, given that t(d) = 0.
-51
Suppose 0 = 2*p + p - 2*p. Let x(u) be the first derivative of 1 + 4/3*u**6 + 2*u**5 + 1/2*u**4 + 0*u**3 + p*u + 0*u**2. Find w such that x(w) = 0.
-1, -1/4, 0
Let u(r) be the third derivative of 0 + 0*r**3 + 11*r**2 + 0*r**6 - 1/42*r**4 + 1/735*r**7 - 1/70*r**5 + 0*r. Determine y so that u(y) = 0.
-1, 0, 2
Determine o so that -3*o**2 + 2*o**2 - 3*o - 8*o + 4*o - 10 = 0.
-5, -2
Let f be 85/3 + (-7)/21. Let u = -23 + f. Determine w, given that 1/3*w**3 + 0 + 0*w**2 + 1/3*w**u + 2/3*w**4 + 0*w = 0.
-1, 0
Let r(p) be the second derivative of -9*p**2 + 0 + 3/20*p**5 - 7/2*p**3 + 6*p + 0*p**4. Solve r(g) = 0 for g.
-2, -1, 3
Let y = -191795/7 - -27405. Find d such that 52/7*d**4 - 68/7*d**2 + 16/7 + y*d - 2*d**5 - 26/7*d**3 = 0.
-1, -2/7, 1, 2
Factor 437 - 170*t + 3*t**2 - 291 - 596 - 277*t.
3*(t - 150)*(t + 1)
Let x = -70 - -74. Factor -17 + 45 + x*z**3 - 7*z**2 - 32*z + 27*z**2 - 20*z.
4*(z - 1)**2*(z + 7)
Let l be (6 - -2)*(-14)/(-4). Solve 23 - l*x**3 - 1 + 48*x**2 + 2 + 100*x = 0 for x.
-1, -2/7, 3
Let v(g) be the third derivative of g**6/720 + g**5/180 - 10*g**2 - 4. Determine n, given that v(n) = 0.
-2, 0
Find r, given that 2/3*r**3 + 1/2*r**5 + 0*r + 5/3*r**4 - 4/3*r**2 + 0 = 0.
-2, 0, 2/3
Suppose -80/9*l + 32/9*l**2 + 0 + 4/9*l**3 = 0. What is l?
-10, 0, 2
Find a, given that 21*a - 1/2*a**2 - 441/2 = 0.
21
Let h(x) be the first derivative of x**6/1080 + x**5/60 + 8*x**3/3 - 21. Let a(u) be the third derivative of h(u). Factor a(s).
s*(s + 6)/3
Let i = 514 - 511. Let x(a) be the second derivative of 0*a**2 + 0*a**i + 0 + 1/35*a**6 + 1/42*a**4 - 3/70*a**5 - 1/147*a**7 - 5*a. Factor x(t).
-2*t**2*(t - 1)**3/7
Let y(n) be the first derivative of -n**5/5 + 3*n**4/4 - n**3/3 - 3*n**2/2 + 2*n - 56. Factor y(g).
-(g - 2)*(g - 1)**2*(g + 1)
Suppose -4*k - 17 - 7 = 0. Let r be (13/39)/((-4)/k). Solve r*h**3 + 0 + 0*h - 1/2*h**2 = 0.
0, 1
Let l(j) = j**3 - 3*j**2 + 2*j + 2. Let q be l(2). Factor 7*w + 8*w**3 + 9*w - 4*w**q - 24*w + 4*w**4.
4*w*(w - 1)*(w + 1)*(w + 2)
Let j(i) be the second derivative of -i**5/4 - 25*i**4/6 - 85*i**3/6 - 20*i**2 - 643*i. Factor j(a).
-5*(a + 1)**2*(a + 8)
Let g = 177 + -172. Let v(h) be the first derivative of -2/5*h**2 + 0*h**3 - 2/5*h + 1/5*h**4 + 2/25*h**g + 4. Suppose v(y) = 0. What is y?
-1, 1
Let h(x) be the first derivative of -x**3/3 - 2*x**2 - 3*x + 5. Solve h(f) = 0 for f.
-3, -1
Let y(c) be the third derivative of 1/3*c**3 + 1/42*c**7 - 7/60*c**5 + 0*c - 1/30*c**6 + 1/96*c**8 + 1/48*c**4 + 0 - 35*c**2. Factor y(p).
(p - 1)*(p + 1)**3*(7*p - 4)/2
Let o(i) be the first derivative of -2*i**6/3 + 4*i**5/5 + 319. Factor o(l).
-4*l**4*(l - 1)
Factor 10 + 15/4*c**2 - 25/2*c.
5*(c - 2)*(3*c - 4)/4
Factor 2*s + 20 + 2/5*s**3 - 16/5*s**2.
2*(s - 5)**2*(s + 2)/5
Suppose -2/5*x**2 - 126/5 - 32/5*x = 0. Calculate x.
-9, -7
Find k, given that 2/11*k**5 - 8/11*k**3 - 4/11*k**4 + 4/11*k**2 + 6/11*k + 0 = 0.
-1, 0, 1, 3
Let m(a) be the second derivative of -a**6/10 + 9*a**5/5 - 51*a**4/4 + 46*a**3 - 90*a**2 - 2*a - 30. Factor m(o).
-3*(o - 5)*(o - 3)*(o - 2)**2
Let u