se h(i) = 0. Calculate i.
-2, 1
Let x be (567 + -63)/(-42) - 80/(-6). Suppose x - 1/6*f**2 - 7/6*f = 0. What is f?
-8, 1
Let u(i) be the second derivative of -5*i**7/42 - 11*i**6/12 - 9*i**5/4 - 5*i**4/6 + 10*i**3/3 - 264*i. Find t, given that u(t) = 0.
-2, 0, 1/2
Let g(a) be the second derivative of 3*a**5/25 + 23*a**4/15 - 16*a**3/3 - 72*a**2/5 + 2*a + 742. Let g(v) = 0. Calculate v.
-9, -2/3, 2
Suppose 20 = c - 4*r + 2, 0 = 5*c + 4*r - 18. Let s be 45/(c - -9) - (-54)/10. Solve -28/5*j - s*j**3 - 61/5*j**2 - 4/5 - 9/5*j**4 = 0.
-2, -1/3
Let c(m) be the third derivative of m**5/30 - 5*m**4/12 + 4*m**3/3 - 763*m**2. Factor c(y).
2*(y - 4)*(y - 1)
Let m(k) be the second derivative of 0*k**4 - 4 - 7/195*k**6 + 4/273*k**7 + 3/130*k**5 + 0*k**3 + 2*k + 0*k**2. Factor m(f).
2*f**3*(f - 1)*(4*f - 3)/13
Let d(y) = 20*y**4 - 196*y**3 - 1948*y**2 - 5588*y - 4960. Let c(w) = 7*w**4 - 66*w**3 - 649*w**2 - 1863*w - 1653. Let h(i) = -8*c(i) + 3*d(i). Factor h(o).
4*(o - 23)*(o + 2)*(o + 3)**2
Let k = -26288 - -26288. Let f(b) be the second derivative of 6*b**2 + 18*b - 1/2*b**3 + k - 3/4*b**4. Find q, given that f(q) = 0.
-4/3, 1
Factor -2*y**4 - 13097 + 13049 - 4*y**2 - 2*y**2 + 18*y**3 - 74*y.
-2*(y - 8)*(y - 3)*(y + 1)**2
Let l(v) be the first derivative of -2/15*v**3 - 17 - 1/30*v**4 - 4*v - 1/5*v**2. Let d(p) be the first derivative of l(p). Find m such that d(m) = 0.
-1
Let h(n) be the first derivative of 16 - 27/4*n + 15/4*n**3 - 27/8*n**2 - 17/16*n**4 + 1/10*n**5. Factor h(k).
(k - 3)**3*(2*k + 1)/4
Factor -634/3*g + 314*g**2 + 106/3 + 6*g**3.
2*(g + 53)*(3*g - 1)**2/3
Let j(o) be the third derivative of -o**8/168 - 26*o**7/45 - 283*o**6/36 - 110*o**5/3 - 308*o**4/9 + 832*o**3/9 - 12*o**2 + 2. Let j(n) = 0. Calculate n.
-52, -4, -1, 1/3
Suppose -9 = 2*j + 6*m - 3*m, -2*j = 5*m + 19. Suppose 26 - 6 - j*c**2 + 12 - 5 = 0. What is c?
-3, 3
Let j(x) be the second derivative of 2*x - 1/90*x**6 - 5/6*x**2 - 2/9*x**3 - 199 + 1/15*x**5 + 1/6*x**4. Determine k, given that j(k) = 0.
-1, 1, 5
Suppose -5*v = -2*b - 20, 3*v - 5*b - 12 = -2*b. Suppose -4*d + 12 = -4*n, 4*n - 10 = -v*d - 3*d. Determine z so that 4/7*z**d + 0*z - 4/7 = 0.
-1, 1
Let g(i) = 63*i**3 + 235*i**2 - 900*i + 84. Let n(s) = -189*s**3 - 710*s**2 + 2698*s - 252. Let m(r) = 7*g(r) + 2*n(r). Factor m(o).
(o + 6)*(3*o - 7)*(21*o - 2)
Suppose 4*y - 1507 = b, -4*b - 358 = -2*y + y. Factor 376*k**2 + 13*k**4 - y*k**2 - 16*k**3 - 45*k**4.
-2*k**2*(4*k + 1)**2
Let z(a) be the first derivative of 225/2*a**4 + 0*a + 40/3*a**3 - 23 + 4/9*a**2. Factor z(g).
2*g*(45*g + 2)**2/9
Let b(w) be the second derivative of w**6/45 + 9*w**5/10 + 44*w**4/3 + 1088*w**3/9 + 512*w**2 + w + 2. Let b(u) = 0. Calculate u.
-8, -3
Let h(n) = n**3 - 13*n**2 + 18*n - 67. Let q be h(12). Factor -5*f**5 + 3*f**5 - 3*f**5 + 8*f**5 + 12*f - q*f**2 + 41*f**2 + 39*f**3 + 18*f**4.
3*f*(f + 1)**2*(f + 2)**2
Let w(h) = h**3 + 5*h**2 + 10*h + 9. Let l be w(-3). Let v be (-372)/216*l - (-1)/6. Factor -7/3*a**2 + v*a - 4 + 1/3*a**3.
(a - 3)*(a - 2)**2/3
Determine v, given that -86/3*v**3 - 104/3*v**2 - 160/3 + 104*v + 2/3*v**5 + 12*v**4 = 0.
-20, -2, 1, 2
Suppose -6237*o**2 + 6267*o**2 + 178 - 42 - o**3 + 132*o = 0. What is o?
-2, 34
Let l(m) = -124*m**3 + 92*m**2 - 960*m - 25600. Let u(p) = 900*p**3 - 643*p**2 + 6720*p + 179200. Let t(q) = 29*l(q) + 4*u(q). Factor t(y).
4*(y - 16)*(y + 20)**2
Let d = -10814 - -42799/4. Let h = d - -116. Suppose -1/4*f**5 + 5/4*f**4 - 1/2*f + 0 - 9/4*f**3 + h*f**2 = 0. Calculate f.
0, 1, 2
Let j(q) = -q**3 + 37*q**2 - 162*q + 68. Let y be j(32). Let v(n) be the third derivative of 1/18*n**y + 10*n**2 + 0*n + 0 + 0*n**3 - 1/180*n**5. Factor v(h).
-h*(h - 4)/3
Let x(s) be the first derivative of -s**6/960 + 19*s**4/192 + 5*s**3/8 + 5*s**2 + s + 46. Let f(r) be the second derivative of x(r). Solve f(i) = 0 for i.
-3, -2, 5
Find y such that -10/7*y**5 + 32/7*y**3 - 19/7*y**4 - 3/7*y**2 + 0*y + 0 = 0.
-3, 0, 1/10, 1
Let c(i) = 2*i**2 + 18*i + 17. Let g be c(-9). Suppose 5*t + 4*j - 38 = 0, g = 3*t - t + j. Factor 18*p + 7*p - 26 - 4*p**2 - p - t.
-4*(p - 3)**2
Factor -1030*c + 102 + 104 + 2*c**2 - 206 - 7*c**2.
-5*c*(c + 206)
Let l = 197662 - 197658. Factor -48/5*s**2 + 3/5*s**l + 48/5*s + 0 - 3/5*s**3.
3*s*(s - 4)*(s - 1)*(s + 4)/5
Let 2/15*q**5 - 8/15*q**3 + 0 + 0*q + 26/5*q**4 - 104/5*q**2 = 0. What is q?
-39, -2, 0, 2
Factor -2/17*n**2 + 176/17*n + 546/17.
-2*(n - 91)*(n + 3)/17
Find r such that -r**3 - 16*r**3 - 23*r**3 + 4*r**5 + 36*r + 56 + 2687*r**4 - 2663*r**4 - 80*r**2 = 0.
-7, -1, 1, 2
Factor 1/2*w**5 + 409/2*w**3 + 12105*w**2 + 90558*w + 199692 - 34*w**4.
(w - 43)**2*(w + 6)**3/2
Factor -63 - 1/3*u**2 - 10*u.
-(u + 9)*(u + 21)/3
Let t = -767 + 769. Factor 5*u**3 + 55 + 13*u**2 + 110 + 22*u**t - 86*u - 119*u.
5*(u - 3)*(u - 1)*(u + 11)
Let i = 1744 - 1737. Let j(s) be the second derivative of -1/35*s**5 + 2/147*s**i + 0*s**3 - 4/105*s**6 + 15*s + 0*s**2 + 2/21*s**4 + 0. What is c in j(c) = 0?
-1, 0, 1, 2
Let a = -47 - -40. Let m(s) = s**3 + 6*s**2 - 12*s - 19. Let k be m(a). Find c, given that 24*c**3 - 7*c**2 - c**3 + k + 6*c**5 - 5*c**5 - 24*c - 9*c**4 = 0.
-1, 1, 4
Let i(o) be the second derivative of 59*o - 4*o**3 - o**4 - 1/10*o**5 - 8*o**2 + 0. Factor i(r).
-2*(r + 2)**3
Let v(z) be the third derivative of -z**8/84 - 8*z**7/35 - 47*z**6/30 - 56*z**5/15 + 6*z**4 + 160*z**3/3 - 3688*z**2 - 2. Determine q, given that v(q) = 0.
-5, -4, -2, 1
Factor 0*w - 4/5*w**3 - 2/5*w**4 + 0 + 0*w**2.
-2*w**3*(w + 2)/5
Let d(l) be the third derivative of l**5/690 + 101*l**4/92 + 602*l**3/69 - 6913*l**2. Suppose d(z) = 0. What is z?
-301, -2
Let p = 286287/2 + -143142. Suppose -2/3*u + 0 - 1/6*u**4 - p*u**2 - u**3 = 0. What is u?
-4, -1, 0
Let g be (39132/(-7609))/((-15)/28). Factor -51/5*f - g*f**2 - 3*f**3 - 18/5.
-3*(f + 1)**2*(5*f + 6)/5
Suppose -85*t = -65*t - 40. Let c(k) be the second derivative of 0 - 1/4*k**3 + 5*k - 1/24*k**4 - 1/2*k**t. Solve c(b) = 0.
-2, -1
Let b(d) be the second derivative of 2*d**6/75 + 21*d**5/50 - 13*d**4/10 - 34*d**3/15 + 24*d**2/5 - 26*d - 6. Find a such that b(a) = 0.
-12, -1, 1/2, 2
Let o(b) be the first derivative of 201 - 11/2*b**2 + 1/4*b**4 + 6*b + 4/3*b**3. Solve o(x) = 0.
-6, 1
Let u(l) be the third derivative of 1/18*l**4 - 1/72*l**6 + 0*l + 1/630*l**7 - 97*l**2 - 4/9*l**3 + 1/30*l**5 + 0. Determine y so that u(y) = 0.
-1, 2
Suppose 24*v**4 - 4/5*v**5 - 128/5 - 252/5*v + 256/5*v**3 + 8/5*v**2 = 0. Calculate v.
-1, 1, 32
Let j(k) be the first derivative of 289*k**6/2340 + 17*k**5/195 + k**4/39 - 7*k**3/3 + 13. Let x(d) be the third derivative of j(d). Factor x(t).
2*(17*t + 2)**2/13
Let k(v) = 15*v**2 - 511*v - 2694. Let m(c) = -35*c**2 + 1020*c + 5385. Let p(s) = 5*k(s) + 2*m(s). Find d, given that p(d) = 0.
-5, 108
Let j(q) be the second derivative of 0 + 2*q**2 - q**4 + 8/15*q**5 + 18*q + 2/3*q**3. Let r(w) be the first derivative of j(w). Factor r(d).
4*(2*d - 1)*(4*d - 1)
Factor -256*z + 82008 - 3*z**3 - 223*z - 105*z**2 - 84492 - 289*z - 168*z.
-3*(z + 6)**2*(z + 23)
Let y be (-4*6)/(-3) - 4. Let i be (-100)/(-55) + y/22. Suppose 5*h**5 - 5*h**4 + 5*h**i + 5*h**3 - 12*h**5 + 2*h**5 = 0. Calculate h.
-1, 0, 1
Let s = -1594 + 1594. Suppose s = 136*v - 117*v - 38. Factor 49/2 + 7*z + 1/2*z**v.
(z + 7)**2/2
Suppose 45*y = 277 - 52. Let b(m) be the second derivative of 0*m**4 + 0*m**3 + 0 - 1/63*m**7 + 0*m**2 - 2/45*m**6 - 3*m + 1/10*m**y. Factor b(x).
-2*x**3*(x - 1)*(x + 3)/3
Let q = 247475 + -247473. Factor 392/3 + 2/3*f**q - 56/3*f.
2*(f - 14)**2/3
Factor -1108/5*j**2 + 2/5*j**4 + 32490 + 16/5*j**3 - 912*j.
2*(j - 15)**2*(j + 19)**2/5
Let g be ((-1)/(-11) - (-72372)/(-17094)) + 13. Factor 3*p**3 + 44/7*p + 8/7 + g*p**2.
(p + 2)*(3*p + 2)*(7*p + 2)/7
Let x(j) = 3*j**5 + 2*j**4 + j**3 - j**2 + j - 1. Let i(u) = 15*u**5 + 5*u**4 - 50*u**3 - 46*u**2 + 55*u + 41. Let r(k) = -i(k) + 4*x(k). What is a in r(a) = 0?
-3, -1, 1, 5
Find u, given that -96/7*u + 0 - 156/7*u**2 + 3*u**3 = 0.
-4/7, 0, 8
Let s(y) be the first derivative of 0*y - 1/20*y**5 + 97 - 13/4*y**3 + 11/16*y**4 + 45/8*y**2. What is d in s(d) = 0?
0, 3, 5
Suppose 23*c - 162 = -37 - 79. Factor 10/7 + 2/7*a**c + 12/7*a.
2*(a + 1)*(a + 5)/7
Let z be 3/(45/(-246))*(-970)/31848. Let o = 2/3981 + z. What i