65*v**5/2 + 34991*v**4/4 - 105950*v**3/3 + 53138*v**2 + 1132*v + 2. Factor s(x).
(x - 1)**2*(x + 326)**2
Let v = 9/401 + 347/2406. Let m(g) be the second derivative of 0 + 0*g**2 - 17*g + 4/3*g**3 - v*g**4. Determine f, given that m(f) = 0.
0, 4
Let f(y) be the first derivative of 5*y**4/8 - 6365*y**3/6 + 504020*y**2 + 3052830*y + 13755. Factor f(h).
5*(h - 638)**2*(h + 3)/2
Let d(r) be the first derivative of -31 - 44*r**2 - 28/3*r**3 - 1/2*r**4 - 80*r. Solve d(k) = 0.
-10, -2
Let a(z) be the first derivative of -15/2*z**2 - 7*z**3 + 18*z + 15/4*z**4 + 3/5*z**5 - 63. Factor a(p).
3*(p - 1)**2*(p + 1)*(p + 6)
Let w = -2/2797 + 44762/13985. Let q = 2566 - 2566. Solve w*j - 28/5*j**3 + q + 4*j**4 - 32/5*j**2 = 0.
-1, 0, 2/5, 2
Let v(l) be the second derivative of 1/80*l**5 + 3 + 32*l**3 - l**4 - 6*l - 512*l**2. Factor v(d).
(d - 16)**3/4
Suppose 0 = 1031*j - 2073 + 11. Let 57/4*n - 17*n**j + 1/4*n**5 - 5/2*n**4 + 19/2*n**3 - 9/2 = 0. What is n?
1, 2, 3
Factor -1/2*r**3 - 13/2*r**2 - 10 - 16*r.
-(r + 1)*(r + 2)*(r + 10)/2
Factor 0*s - 2/3*s**5 + 0 + 8/3*s**3 + 0*s**4 + 0*s**2.
-2*s**3*(s - 2)*(s + 2)/3
Let f(y) = -y**2 + y - 4. Suppose c = 2*r - 20, 5*r - 33 = -3*c + 17. Let b(n) = -5*n**2 - 310*n + 5080. Let p(m) = r*f(m) - b(m). Factor p(h).
-5*(h - 32)**2
Let b(i) be the first derivative of -i**4/18 - 4*i**3/27 + 65*i**2/9 - 100*i/3 - 946. Factor b(w).
-2*(w - 5)*(w - 3)*(w + 10)/9
Let -1/4*b**3 + 15/4*b + 3/2*b**2 + 2 = 0. What is b?
-1, 8
Let t be (0*3/33)/((-4 - -5) + -3). Let b(r) be the second derivative of -2/3*r**4 + 0*r**3 + r**5 + 2/21*r**7 + 18*r - 8/15*r**6 + t + 0*r**2. Factor b(y).
4*y**2*(y - 2)*(y - 1)**2
Let v be ((3*-3)/((-72)/(-48)))/(-2). Solve 2277*m**v - 2273*m**3 - m**2 - 7*m**2 - 32*m = 0 for m.
-2, 0, 4
Let g(j) be the second derivative of -j**6/6 - 79*j**5/2 + 535*j**4/4 + 395*j**3/3 - 800*j**2 + 1195*j. Find l such that g(l) = 0.
-160, -1, 1, 2
Let d(m) be the first derivative of m**6/96 + 5*m**5/24 + 55*m**4/32 + 15*m**3/2 + 13*m**2/2 - 11. Let x(f) be the second derivative of d(f). Solve x(n) = 0.
-4, -3
Let d be 5 + (-16)/228*(-768)/(-10). Let a = 4/19 - d. Solve 0 - a*z**3 + 12/5*z**2 - 9/5*z = 0.
0, 1, 3
Let k be 172/2*(36 + -12)/6. Let b = -340 + k. Solve 2/9*s - 224/9*s**b + 22/3*s**3 + 28/9*s**2 + 128/9*s**5 + 0 = 0.
-1/8, 0, 1
Suppose 3*s + 43*s + 5*s = -70*s + 363. Factor -c**2 - 3/5*c**4 - 1/5*c**5 + 9/5*c**s + 0*c + 0.
-c**2*(c - 1)**2*(c + 5)/5
Let o(f) be the second derivative of 7/102*f**4 + 44*f + 8/17*f**2 + 14/51*f**3 + 0 + 1/170*f**5. Factor o(h).
2*(h + 1)*(h + 2)*(h + 4)/17
Solve 62/11*a**3 + 3/11*a**4 + 93/11*a**2 - 38/11*a + 0 = 0.
-19, -2, 0, 1/3
Let a = -486420 - -486423. Solve 32/3*k + 0 + 4/3*k**2 - 1/3*k**a = 0 for k.
-4, 0, 8
Suppose 2*r**2 - 4300*r - 1488449 + 563949 - 2*r**2 - 5*r**2 = 0. Calculate r.
-430
Suppose -14*l = -13*l - 17*l. Suppose l = 73*r - 60*r - 26. Factor 0 - 2/13*w**r - 10/13*w.
-2*w*(w + 5)/13
Let z be (1/(-36)*2)/((-126)/112 - -1). Let f(k) be the first derivative of z*k**2 - 1/12*k**4 - 4/9*k - 1/27*k**3 + 9. Suppose f(j) = 0. Calculate j.
-2, 2/3, 1
Let t(i) be the third derivative of 9*i**2 + 0*i + 1/300*i**5 + 0 + 0*i**3 + 1/8*i**4. What is k in t(k) = 0?
-15, 0
Let g(z) be the second derivative of -7*z + 9/70*z**5 + 0 - 1/210*z**6 + 1/21*z**3 + 0*z**2 - 1/49*z**7 + 5/28*z**4. Determine y so that g(y) = 0.
-1, -1/6, 0, 2
Let a be (-7)/28 + 12*(-8)/(-384). Factor 0*r - 15/8*r**3 + a - 3/4*r**2.
-3*r**2*(5*r + 2)/8
Find y such that 53*y**2 + 5*y**4 + 64*y**2 + 336 - 34*y**2 + 28*y**3 - 6*y**2 - 442*y - 4*y**4 = 0.
-24, -7, 1, 2
Suppose 3*r + 4*w + 114 = 4*r, -w = -4*r + 471. Let h = -89 + r. Factor 5*l**3 - 48*l - 11 - 40*l**2 - 4*l**4 - 5 - 12*l**2 - h*l**3.
-4*(l + 1)**2*(l + 2)**2
Let j be 228/236 + -1 - ((-326774)/(-6018) + -55). Factor 134/3*v - 44 - j*v**2.
-2*(v - 66)*(v - 1)/3
What is h in -1776/7*h**3 + 225552*h - 1/7*h**4 - 786766/7*h**2 - 112903 = 0?
-889, 1
Let c(t) be the second derivative of t**6/90 + 97*t**5/6 + 6507*t**4 - 26244*t**3 - t - 153. Factor c(z).
z*(z - 2)*(z + 486)**2/3
Let v(d) = 5*d**3 + 7*d**2 + 19*d - 38. Let t(w) = -7*w - 18 + 0*w + 3*w**2 + 2*w**3 + 22*w - 5*w. Let m(l) = 7*t(l) - 3*v(l). Let m(s) = 0. Calculate s.
-4, 1, 3
Suppose 772*u - 203051*u**3 - 128*u**2 + 203047*u**3 - 120*u**2 - 520 = 0. What is u?
-65, 1, 2
Factor 9*f - 1063*f - 466*f + 4605 - 5*f**2.
-5*(f - 3)*(f + 307)
Suppose -9*h + 13*h = 88. Suppose 0 = -3*r + 5*u + 19, h = -0*r + 4*r - 5*u. Suppose -22*b**r - 17*b**3 - 16*b - 17*b**2 + 5*b**2 + 43*b**3 = 0. Calculate b.
-1, 0, 4
Let t be (2/(-2) + 1/1)/(-221 - (-269 - -47)). Find m such that 0 + 2/7*m**4 + 6/7*m**2 + t*m + 8/7*m**3 = 0.
-3, -1, 0
Let f(c) be the second derivative of 1/420*c**5 - 1/840*c**6 + 0 + 20*c**2 + 0*c**4 + 0*c**3 + 45*c. Let k(i) be the first derivative of f(i). Factor k(q).
-q**2*(q - 1)/7
Let r be 21/(-3) + 22515/171*3/50. Factor 12/5 - 143/10*f + r*f**3 + 21*f**2.
(f + 24)*(3*f - 1)**2/10
Let a(b) be the first derivative of -b**7/4200 + b**6/900 - 109*b**3/3 - 109. Let i(h) be the third derivative of a(h). Factor i(c).
-c**2*(c - 2)/5
Suppose -2138 + 315000*h**3 - 2505*h**4 + 1075 - 312500*h**2 + 5*h**5 + 1063 = 0. Calculate h.
0, 1, 250
Let d = -205238/3 + 68413. Factor 2/3*i**2 - 1/3 - 1/3*i**4 + 2/3*i**3 - 1/3*i - d*i**5.
-(i - 1)**2*(i + 1)**3/3
Let 184 + 4/7*d**2 + 212/7*d = 0. Calculate d.
-46, -7
Suppose -140 + 26 = 19*j. Let z be 87/36 - j/(-8). Factor -z*a**3 - a**4 + 0*a + 0 + 2/3*a**2.
-a**2*(a + 2)*(3*a - 1)/3
Let q(b) = 5*b**2 - 23*b + 62. Let f be q(17). Factor 240*h - 1121*h**2 - 1145 - 1735 + f*h**2.
-5*(h - 24)**2
Let u = 6913/130 + -521/10. Find h such that 12/13*h**2 - u*h - 12/13*h**4 + 16/13*h**3 + 0 - 2/13*h**5 = 0.
-7, -1, 0, 1
What is q in 3872 + 198*q**2 - 182*q**3 + 180*q**3 - 20*q**2 - 4048*q = 0?
1, 44
Let i(c) be the second derivative of 0*c**3 - 127*c + 0*c**2 + 0 - 11/45*c**6 + 2/9*c**4 - 2/3*c**5. Factor i(t).
-2*t**2*(t + 2)*(11*t - 2)/3
Let s(d) be the second derivative of d**6/10 - 9*d**5/4 - 9*d**4/2 + 16*d**3 + 1020*d. Let s(k) = 0. Calculate k.
-2, 0, 1, 16
Let v(x) = -4*x**3 - 25*x**2 - 12*x + 31. Let c = -57 + 61. Let t(d) = -10*d - 13*d**2 + c*d - 2*d**3 + 2 + 13. Let l(a) = -5*t(a) + 3*v(a). Factor l(r).
-2*(r - 1)*(r + 3)**2
Let k(t) be the third derivative of -t**5/15 + 5*t**4/3 + 22*t**3/3 + 6*t**2 - 51. Determine i so that k(i) = 0.
-1, 11
Let r(l) = l**3 + 31*l**2 + 112*l + 18. Let x be r(-4). Let o(u) be the second derivative of 5/12*u**4 + 22*u + 0 - 5*u**3 + 45/2*u**x. Factor o(t).
5*(t - 3)**2
Let j(p) = 20*p**3 - 208*p**2 - 640*p + 844. Let n(f) = 36*f**3 - 414*f**2 - 1283*f + 1689. Let t(a) = -7*j(a) + 4*n(a). Let t(s) = 0. Calculate s.
-4, 1, 53
Let x(r) be the first derivative of 0*r**2 - 12/13*r**3 + 18 - 2/65*r**5 - 19/26*r**4 + 0*r. Find z such that x(z) = 0.
-18, -1, 0
Let z(d) = d**3 - 7*d**2 + 3*d - 2. Let i be z(7). Suppose -i = -2*p - 13. Determine a so that -6*a**2 + 9*a**p - 24*a**3 + 0*a**3 = 0.
-2/5, 0
Let -18*c**4 - 6*c**2 + 42*c**4 + 2 + 7*c**3 - 12*c**4 - 4*c - 3*c - 8*c**4 = 0. What is c?
-2, -1, 1/4, 1
Let w(i) be the first derivative of 16 - i**2 + 0*i - 2/21*i**3. Suppose w(a) = 0. Calculate a.
-7, 0
Let n(w) = 3*w**3 - 69*w**2 + 286*w + 360. Let i(p) = -p - 3. Let l(z) = -i(z) - n(z). Find k, given that l(k) = 0.
-1, 7, 17
Let g(m) be the first derivative of 5*m**4/12 + 5*m**3/3 - 15*m**2/2 + 106*m - 19. Let s(j) be the first derivative of g(j). Suppose s(l) = 0. What is l?
-3, 1
Let n = 9028311797/258060 - 3218355/92. Let q = n - 1/1122. Factor -2/5*j**2 - q - 12/5*j.
-2*(j + 2)*(j + 4)/5
Let z = -123 - -145. Let r(s) = -s**3 + 21*s**2 + 21*s + 25. Let t be r(z). Factor 146*a**t - 10*a**4 + a**5 - 3*a**4 - 322*a**2 + 340 - 147*a - 8*a**4 + 3.
(a - 7)**3*(a - 1)*(a + 1)
Suppose -2*j + 52 = n, 0 = -0*n - 5*n - j + 296. Factor -65 - 2*i**3 - 4*i**2 - n + 125.
-2*i**2*(i + 2)
Let x(q) be the first derivative of -q**6/60 - 27*q**5/10 - 729*q**4/4 - 6561*q**3 - 19*q**2/2 - 61. Let i(k) be the second derivative of x(k). Factor i(r).
-2*(r + 27)**3
Let a = 197 - 195. Suppose -8 + 0 = -4*f. What is h in 97*h**4 + 10084*h**2 - 7521*h**f + 1183*h**4 - 6400*h**3 + 3125 - 10000*h + 9437*h**a = 0?
5/4
Let l(q) = -3*q**2 +