 d.
-2, -1, 0, 2/5
Let n = -677809 - -4744692/7. Factor -n*a + 15/7 + 13/7*a**2 + 1/7*a**3.
(a - 1)**2*(a + 15)/7
Let d(f) = -7*f**2 - 22*f. Suppose 0 = -4*k - h - 22, 5*h = k - 7 + 2. Let t(w) = -6*w**2 - 17*w. Let z(c) = k*d(c) + 6*t(c). Solve z(n) = 0.
0, 8
Let o = 5/370913 + 126478408/216984105. Let i = o + 2/117. Determine d so that -4/5 + 1/5*d**4 + i*d**2 + d - d**3 = 0.
-1, 1, 4
Let v be ((-266)/(-21) + -12)*6/4. Solve -20*q**3 - 14*q**2 - 6*q**2 - 1 + v + 13*q**4 - 18*q**4 = 0 for q.
-2, 0
Factor -3*t**2 - 4/5*t + 1/5*t**4 - 2/5*t**3 + 4.
(t - 5)*(t - 1)*(t + 2)**2/5
Let g(j) be the first derivative of -j**5/30 - 5*j**4/12 - j**3/2 + 40*j**2/3 + 200*j/3 - 848. Solve g(w) = 0 for w.
-5, -4, 4
Find d such that 1/4*d**5 + 3/2*d**4 + 0*d - 9/4*d**3 + 0 - 7/2*d**2 = 0.
-7, -1, 0, 2
Let x(s) = -14 - 3*s - 4*s + 9 - 8*s - 38. Let h be x(-3). Find j, given that 0*j**2 + h*j**3 + 2/3*j**4 + 0 + 0*j = 0.
-3, 0
Factor 272/7*v + 4/7*v**2 + 4624/7.
4*(v + 34)**2/7
Suppose -201*l + 204*l = -y + 43, -5*y + 85 = 5*l. Factor -1/11*v**5 + 0 - v**y - 25/11*v**2 - 35/11*v**3 + 0*v.
-v**2*(v + 1)*(v + 5)**2/11
Let y(z) be the second derivative of 3*z**5/20 + 51*z**4/2 + 100*z**3 - 3*z - 207. Find j such that y(j) = 0.
-100, -2, 0
Suppose 280*o = 258*o + 66. Let s be (o/2)/((-17)/68) + 6. Solve 0 - 16/3*i + 0*i**4 - 4/3*i**5 + s*i**2 + 20/3*i**3 = 0 for i.
-2, -1, 0, 1, 2
Let j(r) = 3*r**2 + 5*r - 6. Let n be j(-3). Factor -n*b**3 + 10*b**4 - 37*b**2 + 33*b**2 - 12*b**4.
-2*b**2*(b + 1)*(b + 2)
Solve 0*t - 215/3*t**3 - 115/3*t**4 - 35*t**2 + 0 - 5/3*t**5 = 0 for t.
-21, -1, 0
Let s(d) be the second derivative of d**6/60 - 137*d**5/180 + 5*d**4/6 + 29*d**3/6 - 11*d - 8. Let j(x) be the second derivative of s(x). What is w in j(w) = 0?
2/9, 15
Let c(p) be the second derivative of 3/80*p**5 + 92*p + 5/8*p**4 + 7/2*p**3 + 0 + 9*p**2. Determine h so that c(h) = 0.
-6, -2
Let 226/9*l**4 - 284/9*l**3 + 0*l + 74/9*l**5 - 16/9*l**2 + 0 = 0. What is l?
-4, -2/37, 0, 1
Let f(u) be the third derivative of 0*u - 64*u**2 - 31/6*u**4 + 1/5*u**5 + 0 + 20/3*u**3. Let f(p) = 0. Calculate p.
1/3, 10
Let z(d) be the third derivative of -d**5/140 - 5*d**4/8 + 18*d**3/7 - 1092*d**2. Factor z(c).
-3*(c - 1)*(c + 36)/7
Let t(a) be the third derivative of a**5/54 - 647*a**4/108 + 86*a**3/9 - 723*a**2 - a. Determine f so that t(f) = 0.
2/5, 129
Let w(x) = 3*x. Let y(t) = 19*t - 2. Let v(m) = 2*w(m) - y(m). Let z be v(0). Suppose -3/8*g - 1/4 - 1/8*g**z = 0. Calculate g.
-2, -1
Let q be (60/(-105))/(8/(-84)) + (0 - 1). Let h(y) be the third derivative of 1/120*y**q + 0*y + 15*y**2 - 1/3*y**3 + 0*y**4 + 0. Suppose h(t) = 0. What is t?
-2, 2
Let w(n) = -1041*n - 58291. Let y be w(-56). Find l such that 4/5*l**2 + 0 + 4/5*l + 1/5*l**y - 2/5*l**4 - 3/5*l**3 = 0.
-1, 0, 2
Let d(z) be the first derivative of 5*z**6/6 + 98*z**5/5 - 199*z**4/20 + 4*z**3/3 - 879. Factor d(y).
y**2*(y + 20)*(5*y - 1)**2/5
Factor -11612*i**2 + 535*i**4 + 41200*i + 416*i**3 - 533*i**4 - 30000 - 6*i**4.
-4*(i - 50)**2*(i - 3)*(i - 1)
Suppose 24 = 7*f - f. Suppose -f*t + 9*t - 115 = 5*z, 0 = -4*t + z + 80. Find k, given that k**2 - 2*k - 22 + t + 0*k = 0.
-1, 3
Let n = -114919 + 114921. Let c = 876 - 4344/5. Factor 12/5*o + c + 1/5*o**n.
(o + 6)**2/5
Let o = -315 - -402. Suppose o - 85 = h. Factor 1/2*l - 1/2*l**h - 1/2*l**3 + 1/2.
-(l - 1)*(l + 1)**2/2
Suppose 396 = -10*b + 2046. Let x = 828/5 - b. Suppose -1/5*d**2 - 2/5*d + x = 0. Calculate d.
-3, 1
Let g(v) be the first derivative of 5/3*v**3 + 15*v**2 - 5 - 35*v. Find n such that g(n) = 0.
-7, 1
Let u be (39/12 - 4)*-153*731/1161. Suppose 17/2*f - u - 1/4*f**2 = 0. What is f?
17
Let g(j) = 4*j**2 + 122*j + 120. Let a(w) = 5*w**2 + 120*w + 118. Let l(h) = -4*a(h) + 6*g(h). Let l(n) = 0. What is n?
-62, -1
Let s(b) = -b**3 - 116*b**2 - 557*b - 220. Let n be s(-111). What is p in -23*p**n + 1/2*p**3 - 47/2*p + 0 = 0?
-1, 0, 47
Let c(n) = -32*n**2 + 79*n - 91. Let l(d) = 17*d**2 - 39*d + 46. Let p(r) = -6*c(r) - 11*l(r). What is f in p(f) = 0?
1, 8
Let j = -97028 + 97031. Determine q so that -4/5*q - 11/5*q**2 + 0 + 1/5*q**5 - 1/5*q**4 - 9/5*q**j = 0.
-1, 0, 4
Let f(c) be the second derivative of -2*c**6/15 + 7*c**5/10 - 7*c**4/6 + 2*c**3/3 - 6028*c. What is a in f(a) = 0?
0, 1/2, 1, 2
Let b = 428416/642615 + -2/214205. Factor b*x**5 + 2*x**4 + 0 - 8/3*x**3 + 0*x**2 + 0*x.
2*x**3*(x - 1)*(x + 4)/3
Factor 1/3*v**5 + 32*v + v**4 - 28/3*v**3 + 16/3*v**2 - 112/3.
(v - 2)**3*(v + 2)*(v + 7)/3
Let i = 3681007/6 + -613497. Factor 1/3*u**2 - 65/6*u**4 + 7/6*u - 23/3*u**3 - 1/6 - i*u**5.
-(u + 1)**3*(5*u - 1)**2/6
Let o(n) = -21*n**2 - 3. Let a(c) = 81*c**2 - 258*c - 1647. Let t(q) = -a(q) - 4*o(q). Factor t(v).
3*(v + 7)*(v + 79)
Let h(l) be the second derivative of -2*l**6/15 - 69*l**5/5 + l**4 + 410*l**3/3 - 276*l**2 - 3823*l. Factor h(u).
-4*(u - 1)**2*(u + 2)*(u + 69)
Suppose 5*n - 2*p - 135 = 0, 5*p = 99*n - 94*n - 135. Suppose -18*q + n*q = 36. What is i in -3*i**3 - 3/5*i**5 - 2/5*i - 11/5*i**q - 9/5*i**2 + 0 = 0?
-1, -2/3, 0
Let d(f) be the first derivative of 2/35*f**5 + 480/7*f**2 + 450/7*f + 572/21*f**3 - 24 + 16/7*f**4. Factor d(z).
2*(z + 1)**2*(z + 15)**2/7
Let t be 0/(-24)*(-3)/(-6). Suppose t = -5*a + 633 - 623. Suppose -3/4*b**4 + 1 + 11/8*b**3 - 1/4*b**a + 1/8*b**5 - 3/2*b = 0. Calculate b.
-1, 1, 2
Let r = 3959 + -3943. Let o(t) be the second derivative of 1/42*t**4 + 0 + r*t - 3/7*t**2 - 2/21*t**3. Suppose o(z) = 0. Calculate z.
-1, 3
Suppose -71 = 4*i - 95. Let w(h) be the second derivative of 1/30*h**i - 1/5*h**3 + 0 - 11/60*h**4 + 2*h + 0*h**2 + 3/25*h**5. Let w(q) = 0. Calculate q.
-3, -2/5, 0, 1
Let k(h) be the third derivative of h**6/1080 + 2*h**5/45 - 55*h**4/216 - 13*h**3/9 - h**2 + 3*h - 445. Factor k(a).
(a - 3)*(a + 1)*(a + 26)/9
Let r(u) be the second derivative of 5*u**7/56 + 353*u**6/40 + 3357*u**5/16 - 22669*u**4/16 + 1480*u**3 + 12321*u**2/2 - 5*u - 171. Let r(c) = 0. Calculate c.
-37, -3/5, 2
Let y(v) be the first derivative of -1/4*v**4 - 192 + 3*v - v**3 + 1/2*v**2. Factor y(a).
-(a - 1)*(a + 1)*(a + 3)
Let c(l) be the first derivative of l**5/15 - 5*l**4/12 - 19*l**3/3 - 95*l**2/6 - 44*l/3 + 372. Factor c(b).
(b - 11)*(b + 1)**2*(b + 4)/3
Solve 28*n**2 + 45*n + 321*n**3 - n**5 + 117*n**4 + 5*n**5 - 145*n**2 - n**5 - 369*n = 0.
-36, -3, -1, 0, 1
Let n(y) be the first derivative of -1/3*y**3 + 0*y + 13 + 3/2*y**2. Suppose n(u) = 0. Calculate u.
0, 3
Let d(s) = 2*s**3 + 20*s**2 - 55*s + 33. Let t(i) = 109*i + 105*i - 324*i + 1 + 109*i. Let g(j) = -2*d(j) + 18*t(j). Let g(p) = 0. Calculate p.
-12, 1
Let u(n) be the first derivative of n**6/51 - 8*n**5/5 + 1149*n**4/34 + 940*n**3/51 - 452*n**2 - 816*n - 194. Find o, given that u(o) = 0.
-2, -1, 3, 34
Let t(p) be the second derivative of p**5/10 + 131*p**4/6 - 179*p**3 + 405*p**2 + 962*p. Solve t(n) = 0.
-135, 1, 3
Let s(y) be the third derivative of -y**8/378 - 5*y**7/189 + 13*y**6/90 + 317*y**5/270 - 299*y**4/54 - 56*y**3/9 + 4077*y**2. Solve s(v) = 0 for v.
-7, -4, -1/4, 2, 3
Suppose -5*v - 5*p = -30, 4*p = -43*v + 40*v + 22. Suppose -158 = -0*y - 2*y. Find f such that -f**2 - y - 4*f**v - 204 + 70*f + 38 = 0.
7
Let z be -2 + (-2 - 4) - 14. Let g be (-86)/42*-3 + (z - -17). Factor -2/7*d**2 - 6/7 - g*d.
-2*(d + 1)*(d + 3)/7
Solve -1840*z - 24111675 + z**2 + 4741*z - 4*z**2 + 10429*z + 3680*z = 0.
2835
Let b(t) be the third derivative of t**7/4620 + t**6/396 + t**5/110 + 53*t**3/6 + 72*t**2. Let x(d) be the first derivative of b(d). Factor x(f).
2*f*(f + 2)*(f + 3)/11
Factor 14 - 3*s - 6*s + 9*s - 5*s - 10*s + s**2.
(s - 14)*(s - 1)
Let s(w) be the second derivative of -w**7/630 + 2*w**6/45 - 2*w**5/5 - w**4/6 + 24*w**2 - w + 68. Let p(x) be the third derivative of s(x). Factor p(a).
-4*(a - 6)*(a - 2)
Let r(k) be the first derivative of -2*k**3/33 - 90*k**2 - 44550*k - 694. Factor r(u).
-2*(u + 495)**2/11
Let i = -922/71 + 25343/284. Solve -i*d + 25 + 315/4*d**2 - 115/4*d**3 + 5/4*d**4 = 0.
1, 20
Suppose -c = 3*k - 983, 0 = -5*k + 2*c + 828 + 825. Suppose 334*u**4 - 16*u**3 - u**5 - 655*u**4 + k*u**4 = 0. What is u?
0, 4
What is a in -3/5*a**4 - 93/5*a**3 + 651/5*a**2 + 0 - 111*a = 0?
-37, 0, 1, 5
Let i(s) be the third derivative of 0*s - 1/45*s**5 + 10/9*s**4 + 0 + 14/3*s**3 +