actor 0 + 0*d - 8/15*d**4 + c*d**5 - 4/15*d**2 + 2/3*d**3.
2*d**2*(d - 2)*(d - 1)**2/15
Let f(w) be the first derivative of -18*w**5/5 - 57*w**4/4 + 2*w**3 + 45*w**2/2 - 6165. Factor f(u).
-3*u*(u + 1)*(u + 3)*(6*u - 5)
Let i(t) be the second derivative of t**6/360 - 7*t**5/120 + t**3/3 - 31*t**2/2 + 93*t. Let g(v) be the second derivative of i(v). What is o in g(o) = 0?
0, 7
Let v(r) be the third derivative of r**5/450 + r**4/3 - 142*r**2 - 4*r. Factor v(c).
2*c*(c + 60)/15
Factor 24 + 86*r**2 - 5849*r + 5*r**3 + 7*r**3 + 6007*r.
2*(r + 3)*(r + 4)*(6*r + 1)
Let i(l) = -22*l**5 + 24*l**4 + 40*l**2 + 10*l - 10. Let k(a) = 2*a**5 - a**4 - 4*a**2 - a + 1. Let d(o) = -2*i(o) - 20*k(o). Factor d(f).
4*f**4*(f - 7)
Let s(x) be the first derivative of 2*x**5/5 + 6*x**4 + 10*x**3/3 - 66*x**2 - 1387. Find u such that s(u) = 0.
-11, -3, 0, 2
Let w be (-1)/(-2)*(-10 + 6). Let p(q) = 5 - 10 - 803*q + 781*q - 17*q**2. Let k(i) = 5*i**2 + 7*i + 2. Let a(n) = w*p(n) - 7*k(n). Factor a(d).
-(d + 1)*(d + 4)
Let c(m) be the third derivative of -m**7/2520 + m**6/144 - m**5/30 + 15*m**4/4 - m**2 - 93. Let w(z) be the second derivative of c(z). Solve w(s) = 0.
1, 4
Suppose 4*n + 110 = -3*k, 2*k - 5*n + 3 = -32. Let q be 3/2 + (-15)/k. Factor -12*m**q + 5*m**2 + m**3 + 6*m**2 + 5*m**2 - 11*m + 6.
(m - 1)**2*(m + 6)
Let z(j) be the first derivative of 4*j**3/3 + 34*j**2 - 5336*j - 6395. Determine a, given that z(a) = 0.
-46, 29
Let o(k) be the second derivative of k**4/6 - 76*k**3/3 + 1444*k**2 + 96*k - 7. Let o(g) = 0. What is g?
38
Let c(x) be the third derivative of 0*x + 1 - 2/9*x**3 - 1/24*x**4 - 22*x**2 + 1/180*x**5. Factor c(v).
(v - 4)*(v + 1)/3
Let g(q) be the first derivative of 4*q**5/5 - 21*q**4/2 + 122*q**3/3 - 42*q**2 - 2530. Factor g(t).
2*t*(t - 6)*(t - 1)*(2*t - 7)
Let t be (42/(-345))/(36/45)*-15. Let y = -18/23 + t. Factor -3*o**3 - 3/2*o**4 + 0*o + 0 - y*o**2.
-3*o**2*(o + 1)**2/2
Let i(y) be the third derivative of y**2 + 0 - 1/540*y**6 + 0*y**3 - 1/27*y**4 + 28*y + 1/54*y**5. Suppose i(g) = 0. Calculate g.
0, 1, 4
Let f(x) = 22*x**4 - 40*x**3 + 5*x**2 - 14*x - 9. Let y(p) = 20*p**4 - 40*p**3 + 4*p**2 - 8*p - 8. Let d(z) = -8*f(z) + 9*y(z). Factor d(c).
4*c*(c - 10)*(c - 1)*(c + 1)
Let t = 2091226 + -31379773/15. Let j = t - -759. Factor 4/15*w + j + 2/15*w**2.
2*(w + 1)**2/15
Solve 6*v**4 - 19*v**2 - 2023*v + 2051*v + 2*v**4 - 7*v**4 - 12 + 2*v**3 = 0 for v.
-6, 1, 2
Let o(a) be the third derivative of -a**6/240 + 11*a**5/40 + 17*a**4/24 - 1022*a**2. Suppose o(i) = 0. Calculate i.
-1, 0, 34
Let w be (-5)/(-1) - (-1)/(-5)*5. Let b be ((9 - 4)/(-5))/((-2)/w). Factor k**2 - 2 - b*k**3 - 2*k**4 + 2 + 3*k**4.
k**2*(k - 1)**2
Let j(x) = 787*x - 1567. Let c be j(2). Let b(y) be the first derivative of 9*y + 15 + 69/4*y**2 + c*y**3 - 9/8*y**4. Factor b(m).
-3*(m - 6)*(m + 1)*(3*m + 1)/2
Let k be ((-3)/35)/(2/20*57/(-228)). Factor 8/7*j + 2/7*j**2 - k.
2*(j - 2)*(j + 6)/7
Suppose 2*n = 2*s + 14, -s + 33 = -0*n + 4*n. Let q be (-2 - n)*((-7)/(-2))/(-7). Suppose -1/4*h**2 + 1/4*h + 5/4*h**4 - 3/4*h**3 - 1/2*h**q + 0 = 0. What is h?
-1/2, 0, 1
Let u(x) be the third derivative of 49*x**6/200 - 301*x**5/25 + 1849*x**4/10 + 2853*x**2. Factor u(o).
3*o*(7*o - 86)**2/5
Suppose -5*a - 137 = -h - 167, -5*a + 30 = 0. Let m(n) be the third derivative of 1/480*n**6 - 1/240*n**5 - 1/48*n**4 + h + 0*n + 0*n**3 + 25*n**2. Factor m(o).
o*(o - 2)*(o + 1)/4
Let h be -70*(-24)/336 - (3 + 2). Factor 6/13*d - 2/13*d**3 + h + 4/13*d**2.
-2*d*(d - 3)*(d + 1)/13
Factor 274625/2 + 6435*a**2 + 143650*a + 1/2*a**4 + 98*a**3.
(a + 1)*(a + 65)**3/2
Factor 4*l**2 - 32058*l + 2*l**2 - 444 + 31922*l - l**2 - l**2.
4*(l - 37)*(l + 3)
Factor -2/13*i**2 + 80/13*i - 6.
-2*(i - 39)*(i - 1)/13
Solve -122*i**2 + i**3 + 810*i**2 + 899 + 1425*i - 184 + 17*i**2 - 6*i**3 = 0 for i.
-1, 143
Let m(j) be the first derivative of j**6/54 + 8*j**5/45 + 13*j**4/36 + 2*j**3/9 - 1496. Solve m(n) = 0.
-6, -1, 0
Let g(y) be the second derivative of -3*y**5/20 + 12*y**4 - 330*y**3 + 2904*y**2 - 502*y. Factor g(m).
-3*(m - 22)**2*(m - 4)
Suppose 4*r = -252*w + 253*w + 74, 18*w + r - 55 = 0. Factor -2/7*l**4 - 10/7*l**w - 4/7*l + 0 - 8/7*l**3.
-2*l*(l + 1)**2*(l + 2)/7
Let j = 18197/2 + -9097. Let w(i) be the first derivative of j*i**4 - 4*i**2 + 0*i**3 + 0*i - 2/5*i**5 - 13. Determine q, given that w(q) = 0.
-1, 0, 2
Suppose 3*i + 2*a = 64 - 18, 50 = 3*i - 2*a. Suppose -6*d = -7*d - i*d. Solve -3/2*g**2 + d + 0*g - 3/4*g**3 + 3/4*g**4 = 0.
-1, 0, 2
Factor -28227 - 1/3*k**2 - 194*k.
-(k + 291)**2/3
Let r(w) be the first derivative of 16/7*w**3 - 9/7*w**2 - 118 - 11/7*w**4 - 1/21*w**6 + 0*w + 16/35*w**5. Find y such that r(y) = 0.
0, 1, 3
Factor -28*s**2 + 16/3*s - 4/3*s**3 + 112.
-4*(s - 2)*(s + 2)*(s + 21)/3
Let y be (1*(-11)/2)/((-2)/4). Let t be (177/18 - y)*1/(-7). Suppose -1/6*c + t*c**2 + 0 = 0. What is c?
0, 1
Let d(c) be the first derivative of 2*c**3/33 - 8*c**2/11 + 24*c/11 - 2043. Determine y so that d(y) = 0.
2, 6
Let i(r) be the third derivative of -r**5/270 + 7*r**4/108 + r**2 + 177. Factor i(d).
-2*d*(d - 7)/9
Let u(p) be the first derivative of -p**6/180 + p**5/10 - 2*p**4/3 - 3*p**3 + 5*p + 1. Let x(w) be the third derivative of u(w). Solve x(n) = 0.
2, 4
Let f be (-2)/45*-8 + ((-142040)/2385 - -60). Solve -2/5*h**5 + 2/5*h + 0 + 0*h**3 + 4/5*h**2 - f*h**4 = 0.
-1, 0, 1
Let o(x) be the first derivative of x**6/2520 + x**5/84 - 10*x**3/3 - 3*x - 20. Let k(c) be the third derivative of o(c). Determine s, given that k(s) = 0.
-10, 0
Let n(m) = -75*m**3 - 499*m**2 - 796*m + 320. Let y(a) = -815*a**3 - 5490*a**2 - 8755*a + 3520. Let c(g) = 65*n(g) - 6*y(g). Factor c(i).
5*(i + 2)*(i + 32)*(3*i - 1)
Let v(t) = -2*t**3 + 76*t**2 - 24*t - 74. Let i(q) = -5*q**3 + 228*q**2 - 86*q - 221. Let m(o) = -2*i(o) + 7*v(o). Factor m(r).
-4*(r - 19)*(r - 1)*(r + 1)
Let m be 13/((-39)/(-12)) + 6. Find x, given that -30 + 19*x**2 + 45*x + 5*x**3 - 49*x**2 + m = 0.
1, 4
Let o(w) = 30*w**2 - 118*w + 112. Let y(b) = -2*b**2 - 2*b + 1. Let d(k) = o(k) + 8*y(k). Factor d(z).
2*(z - 1)*(7*z - 60)
Let w(c) = c**3 - 11*c**2 + 18*c + 3. Suppose 54*n + 288 = 86*n. Let v be w(n). Find t such that -1/4*t**4 - 1/4*t + 1/4*t**2 + 1/4*t**v + 0 = 0.
-1, 0, 1
Factor 51/2*w + 3/2*w**2 - 126.
3*(w - 4)*(w + 21)/2
Suppose 16*c = 8272 + 32288. Let d be (-325)/c*12/(-10). Suppose 2/13*j + 8/13*j**2 + d*j**3 - 12/13 = 0. What is j?
-3, -2, 1
Let h(p) be the second derivative of -p**6/6 - 2*p**5 - 35*p**4/6 + 20*p**3/3 + 75*p**2/2 + 2671*p. What is a in h(a) = 0?
-5, -3, -1, 1
Solve 1/2*u**2 + 217/2*u - 219 = 0 for u.
-219, 2
Let k(b) be the first derivative of 2/9*b**3 + 0*b**2 + 12 - 14*b + 1/30*b**5 - 1/6*b**4. Let n(v) be the first derivative of k(v). Let n(a) = 0. Calculate a.
0, 1, 2
Let t(y) be the second derivative of -12 + 196/3*y**2 - 7*y + 1/72*y**4 + 14/9*y**3. Find u such that t(u) = 0.
-28
Factor -10*n**5 + 56*n**2 + 21*n - 18*n**5 + 2*n**4 + 6*n**3 + 25*n**5 - 6 + 4*n**4 - 80*n**2.
-3*(n - 1)**4*(n + 2)
Let n(w) be the second derivative of 5*w**4/4 - 2307*w**3/2 + 1383*w**2 + 3088*w. Let n(a) = 0. What is a?
2/5, 461
Let u be 3566/(-4) - (-252)/168. Let s = 2690/3 + u. Solve -7/3*t + 2 - s*t**2 = 0 for t.
-3/4, 2/5
What is d in 42*d + 0 + 28*d**2 - 104/7*d**3 + 2/7*d**5 - 4/7*d**4 = 0?
-7, -1, 0, 3, 7
Let r(o) be the second derivative of o**4/54 - 263*o**3/27 - 530*o**2/9 + 12*o - 13. Factor r(f).
2*(f - 265)*(f + 2)/9
Let w(j) be the third derivative of -7/390*j**5 + 1/780*j**6 + 0*j - 4/13*j**3 + 4/39*j**4 + 3 + j**2. Factor w(p).
2*(p - 3)*(p - 2)**2/13
Factor -30 + 3*p**2 - 87 + 29*p - 127*p + 24*p - 40*p.
3*(p - 39)*(p + 1)
Let s(i) be the second derivative of -5*i**4/4 + 305*i**3/6 - 5540*i. Determine j, given that s(j) = 0.
0, 61/3
Suppose 3*u - 25 = r - 6, 8 = -2*r. Let u*f**2 + 0*f + 4 + 53*f**3 - 3*f + 11*f - 52*f**3 = 0. What is f?
-2, -1
Suppose 2*a + 2 = -5*g, 0 = 2*g + 7 - 3. Suppose -19*p + 14*p + 3*n = 0, -4*p + a*n = 8. Solve 0 - 2*q**2 - 2/3*q**p + 8/3*q = 0.
-4, 0, 1
Let d(u) = 83*u**2 + 80*u + 17. Let n(o) = 265*o**2 + 162*o + 24*o + 15*o - 58*o**2 + 42. Let f(q) = 12*d(q) - 5*n(q). Factor f(l).
-3*(l + 1)*(13*l + 2)
Let j = -256117 - -256122. Determine a, given that -4/3*a**j + 0 + 8/3*a**4 + 0*a*