/7*c**u.
(c - 2)*(c + 1)/7
Let i be (30/8 + -3)/(459/204). Let n(q) = q**2 + 5*q. Let c be n(-5). Factor c + 5/3*z - i*z**2.
-z*(z - 5)/3
Let z = 280634/19 + -14762. Let i = z - 917/114. Factor -5/6*x**2 + 1/2*x**3 + i + 1/6*x.
(x - 1)**2*(3*x + 1)/6
Factor -36106*x**3 - 160*x - 104 + 18056*x**3 + 98*x**2 + 18054*x**3.
2*(x - 2)*(x + 26)*(2*x + 1)
Let a(d) = -6*d**4 + 27*d**3 + 90*d**2 - 6*d + 9. Let s(b) = -b**4 + 2*b**2 - 6*b + 1. Let k(h) = -a(h) + 9*s(h). Factor k(o).
-3*o*(o + 1)*(o + 4)**2
Let h(y) be the third derivative of y**8/120960 + 11*y**7/30240 - y**6/360 + 19*y**5/20 + 91*y**2. Let i(n) be the third derivative of h(n). Factor i(j).
(j - 1)*(j + 12)/6
Let u(k) be the first derivative of -48*k + 93/4*k**2 - 90 + 1/2*k**3. Let u(z) = 0. Calculate z.
-32, 1
Suppose -2*a + j = -3, -4 = a - 5*j - 1. Let w(k) be the first derivative of -13 - 1/12*k**4 - 4/3*k**a - 5/9*k**3 - 4/3*k. Factor w(n).
-(n + 1)*(n + 2)**2/3
Let q be (302/8)/((-4)/(616/(-7))). Let m = q - 830. Factor 0*l**2 + 1/2*l**3 - 1/4 + 1/4*l**4 - m*l.
(l - 1)*(l + 1)**3/4
Suppose -180*n + 1282 = 461*n. What is o in 8/7*o**n - 23/7*o + 17/7*o**3 - 6/7 + 4/7*o**4 = 0?
-3, -2, -1/4, 1
Let g(u) be the first derivative of 12288*u - 1024*u**2 + 95 + 1/6*u**6 - 896/3*u**3 + 72*u**4 - 29/5*u**5. Suppose g(r) = 0. What is r?
-3, 8
Let h(o) be the first derivative of o**6/6 - 9*o**5/5 + 7*o**4/2 - 920. Let h(w) = 0. What is w?
0, 2, 7
Let v(m) = -43*m**3 + 532*m**2 - 312*m - 151. Let k(h) = 21*h**3 - 267*h**2 + 156*h + 78. Let s(d) = 13*k(d) + 6*v(d). Solve s(r) = 0 for r.
-2/5, 1, 18
Let i = -973 - -1034. Let z be (i/(-13) - 5) + 4 + 6. Factor 0 - 2/13*q**3 + z*q + 2/13*q**2.
-2*q*(q - 2)*(q + 1)/13
Let u(a) be the first derivative of -1/2*a**4 - 3*a**2 + 2*a + 2*a**3 + 4. Find q, given that u(q) = 0.
1
Let l = 668066/100209 - 2/33403. Factor -25/3*g**3 - 5/3*g**4 + 0*g - l*g**2 + 0.
-5*g**2*(g + 1)*(g + 4)/3
Let v(c) = c**2 - 22*c + 28. Let b be v(22). Suppose 2*o + 24 = b. Factor -33*n**3 + 22*n**3 + 16*n**3 + 5*n**o - 10*n.
5*n*(n - 1)*(n + 2)
Suppose r + 1 = -4*a, 218 = -3*a + r + 233. Find z, given that 2/7*z**a + 0 + 0*z = 0.
0
Let h(w) be the first derivative of w**5/20 - 45*w**4/2 + 4050*w**3 - 2*w**2 - 2*w - 145. Let d(m) be the second derivative of h(m). Factor d(j).
3*(j - 90)**2
Suppose -8132 = -1232*x + 1107 - 1847. Factor -3/2*w**2 + 9/2*w**3 - x - 12*w.
3*(w - 2)*(w + 1)*(3*w + 2)/2
Factor -2*v**3 + 9/5*v**4 - 1/5 + 2*v - 8/5*v**2.
(v - 1)**2*(v + 1)*(9*v - 1)/5
Suppose -30*m = -80*m + 8*m. Let i(p) be the second derivative of m*p**2 + 0 + 1/3*p**4 + 16*p - 4/21*p**3 + 4/105*p**6 - 1/5*p**5. Let i(h) = 0. What is h?
0, 1/2, 1, 2
Let t be 151/(-5)*(14 + -19). Suppose 7*v - 122 = t. Let -5*f**2 - 11*f - 245 - 20*f - v*f = 0. What is f?
-7
Let f(p) be the second derivative of -p**6/90 + 159*p**5/20 + 483*p**4/4 + 1455*p**3/2 + 2187*p**2 + 356*p. Solve f(w) = 0.
-3, 486
Let j(p) be the second derivative of -p**5/40 - 9*p**4/8 + 22*p**3/3 - 15*p**2 + 2*p - 1702. Factor j(n).
-(n - 2)*(n - 1)*(n + 30)/2
Let u(q) be the second derivative of -q**4/20 + 661*q**3/10 + 993*q**2/5 - 120*q. Factor u(s).
-3*(s - 662)*(s + 1)/5
Let f be (21 + 5497/(-207))/((-1)/((-6)/(-5))). Determine p, given that -6*p**5 + 40/3*p**3 + 8*p**4 - f*p**2 - 22/3*p - 4/3 = 0.
-1, -1/3, 1, 2
Determine w so that 3/5*w**2 - 4704/5*w + 1843968/5 = 0.
784
What is m in 26763*m + 26849*m - 53501*m + 6*m**3 - 56 - 61*m**2 = 0?
1, 7/6, 8
Let j(x) = -6*x**2 + 4*x + 3. Let c(p) = p**2 - p - 1. Suppose -4*z - 4*i = -4, 5*z = 3*z + i + 2. Let o(g) = z*j(g) + c(g). Suppose o(k) = 0. Calculate k.
-2/5, 1
Let k = -895 - -979. Factor k*n - 3*n**2 + n**2 - 239*n - 953 - 8025 - 113*n.
-2*(n + 67)**2
Let d be (-3432)/(-182) - -5*36/(-210). Let 2/3*l**2 + 0 + d*l = 0. Calculate l.
-27, 0
Suppose -25*r - 38 = -38. Let a(c) be the first derivative of 2/7*c + r*c**2 - 2/21*c**3 + 14. Determine i, given that a(i) = 0.
-1, 1
Let w(y) = -y**2 - y + 2. Suppose 4*l = 2*l. Let m be w(l). Solve 2 - 6*c**3 - c**3 + 14 + 16*c + 3*c**3 - 4*c**m = 0 for c.
-2, -1, 2
Let j(b) be the third derivative of -b**5/450 + 581*b**4/180 - 578*b**3/15 - 6270*b**2. Factor j(a).
-2*(a - 578)*(a - 3)/15
Let t be (312 - -1)/(10 + -9). Let u = -2187/7 + t. Factor 0*f - 8/7*f**2 + 0 + u*f**4 + 2*f**3.
2*f**2*(f + 4)*(2*f - 1)/7
What is c in 71*c + 1/3 + 212/3*c**2 = 0?
-1, -1/212
Let l(w) be the first derivative of 2*w**6/51 + 2*w**5/17 - 10*w**3/51 - 2*w**2/17 - 1665. What is b in l(b) = 0?
-2, -1, -1/2, 0, 1
Let r = -2/47 - -254/1551. Let x(b) be the third derivative of r*b**3 + 17*b**2 + 0*b + 1/330*b**5 + 5/132*b**4 + 0. Factor x(l).
2*(l + 1)*(l + 4)/11
Let x(g) be the first derivative of 2*g**3/15 - 254*g**2/5 - 102*g - 655. Let x(y) = 0. Calculate y.
-1, 255
Let h(a) be the second derivative of -a**6/165 + 34*a**5/55 - 746*a**4/33 + 3808*a**3/11 - 28224*a**2/11 - 16*a - 42. Factor h(n).
-2*(n - 28)**2*(n - 6)**2/11
Let b(w) = -25*w**3 + 90*w**2 + 30*w - 5. Let f(y) = -85*y**2 - 29*y - 34*y**2 + 24*y**3 + 28*y**2 + 4. Let c(t) = 4*b(t) + 5*f(t). What is s in c(s) = 0?
-1/4, 0, 5
Let i be (53*94/52311)/(3/49). Let 10/9*q**2 + i*q + 2/9*q**3 + 2/3 = 0. What is q?
-3, -1
Let j = 59 + -67. Let w be (j/12*15)/(-7). Solve -2/7*d**5 + 0 + 0*d - 6/7*d**3 - w*d**4 + 18/7*d**2 = 0.
-3, 0, 1
Suppose -4*d + 28 = 5*o, 4 = -5*d - 5*o + 34. What is v in -24 + 61*v + 45*v - 92*v - d*v**2 = 0?
3, 4
Let j(f) be the second derivative of -f**4/18 + 964*f**3/27 + 644*f**2/9 + 4*f + 125. Solve j(c) = 0 for c.
-2/3, 322
Let y = 662/45 - 73/5. Let p(o) be the second derivative of -13*o + y*o**3 + 0 - 1/54*o**4 - 2/9*o**2. Find c, given that p(c) = 0.
1, 2
Let z(k) be the third derivative of -k**6/780 - 17*k**5/39 - 1763*k**4/39 + 14792*k**3/39 - 526*k**2. Factor z(q).
-2*(q - 2)*(q + 86)**2/13
Let h = 40171 - 40163. Suppose h*u + 2/3*u**3 + 20/3*u**2 - 48 = 0. Calculate u.
-6, 2
Solve 115*b - 1/4*b**2 - 459/4 = 0.
1, 459
Let x = 173 + -127. Let 5*w**2 - 378 + 7*w - 36*w - x*w + 108 = 0. Calculate w.
-3, 18
Let r(i) = 4*i**3 - 2*i**2 + i. Let f be r(1). Let u(h) = -h**2 - 51*h - 266. Let d be u(-45). Suppose 8*x - 4*x**3 + d*x**3 - 2*x**f = 0. What is x?
-2, 0, 2
Let c = 22541/4 + -5635. Suppose -4*t = -2*q - 12, -9*q - 11 = -13*q + t. Factor 0*m**2 - 4 + m**3 + c*m**4 - q*m.
(m - 2)*(m + 2)**3/4
Let w = 773 - -233. Let p = w - 1003. Determine k so that 0 - 1/2*k**4 - k + 4*k**2 + 5/4*k**5 - 15/4*k**p = 0.
-2, 0, 2/5, 1
Let z(h) be the second derivative of 0*h**6 + 28*h - 10/3*h**4 + 0*h**2 + 5/2*h**3 - 5/42*h**7 + 0 + 3/2*h**5. Factor z(c).
-5*c*(c - 1)**3*(c + 3)
Let f(l) be the second derivative of -l**4/3 + 776*l**3/3 - 75272*l**2 - 2*l + 190. Factor f(o).
-4*(o - 194)**2
Suppose a = 0, 8*d + 3*a = 6*d + 8. What is z in -6254 + 32*z - 201*z - 109*z - d*z**2 - 1490 - 74*z = 0?
-44
Let f = -2/4201 - -12643/84020. Let s(p) be the second derivative of 0 + 768*p**2 + 6*p**4 + 31*p + f*p**5 + 96*p**3. Factor s(z).
3*(z + 8)**3
Let a(j) be the second derivative of j**5/60 - 13*j**4/36 + 8*j**3/3 - 6*j**2 - 7*j + 113. Factor a(m).
(m - 6)**2*(m - 1)/3
Let p(m) = m**2 + 8*m + 9. Let k be p(-6). Let h be (k + (-45)/(-25))/(2/(-5)). Factor 104*j**h - 5*j**2 + 4*j + j**2 + 4 - 108*j**3 + 0*j**2.
-4*(j - 1)*(j + 1)**2
Let l = 32 - 22. Suppose 2*j = 3*f - l, j + 18 - 3 = 4*f. What is m in -10*m**3 + 4 + 33*m - 5*m**f + 1 - 23*m = 0?
-1, 1
Let w(t) = -2*t - 21. Let u(g) = -g**3 - 4*g**2 + 2*g + 1. Let y be u(-3). Let c be w(y). Factor 5*m**3 - 8*m**2 - 4*m**5 + 0*m**5 + c*m**3.
-4*m**2*(m - 1)**2*(m + 2)
Let 7*y**4 + 1258*y**3 - 80 - 1263*y**3 - 60*y**2 - 2*y**4 + 140*y = 0. What is y?
-4, 1, 2
Let a(x) be the second derivative of -x**6/36 - 5*x**5/8 + 545*x**4/18 - 175*x**3/3 - 489*x - 10. Solve a(n) = 0.
-30, 0, 1, 14
Let s = -610429/13 + 46959. Find f, given that -s*f + 6/13*f**3 + 12/13 + 4/13*f**2 = 0.
-3, 1/3, 2
Suppose -81*r**2 + 147868 + 2310*r - 24227 + 86*r**2 + 143164 = 0. Calculate r.
-231
Let s(m) = -m**2 + m. Let r(q) = 6*q**2 - 36*q - 24. Suppose -194 = 2*z - 32. Let a = z - -80. Let b(t) = a*r(t) - 9*s(t). Let b(x) = 0. What is x?
-8, -1
Let u(y) = -22 + 4*y**3 - 17 + 97*y + y**3 - 37*y**2 - 26*y. Let r(v) = 56*v**3 - 406*v**2 + 780*v - 430. Let q(b) = -6*r(b) 