erivative of -n**4/14 - 16*n**3/7 + 27*n**2/7 + 100*n/7 - 6623. Factor t(v).
-2*(v - 2)*(v + 1)*(v + 25)/7
Suppose 0 = -x + 87 - 99. Let i be (-22)/x*6/44. Factor i + 0*v - 1/4*v**2.
-(v - 1)*(v + 1)/4
Let z(f) = 30*f**3 - 122*f**2 + 6*f + 12. Let o be z(4). Factor 21*q - 6 + 129/8*q**3 - 219/8*q**2 - 33/8*q**o + 3/8*q**5.
3*(q - 4)**2*(q - 1)**3/8
Find h such that -125 - 425/4*h - 135/4*h**2 - 1/4*h**4 - 19/4*h**3 = 0.
-5, -4
Let c(y) be the second derivative of y**5/20 + 11*y**4/3 + 82*y**3/3 + 80*y**2 + 272*y + 4. Solve c(s) = 0 for s.
-40, -2
Factor -260/9*z + 2/9*z**3 + 0 - 86/3*z**2.
2*z*(z - 130)*(z + 1)/9
Let d(q) = -4*q**3 - 64*q**2 + 20*q + 64. Let n(m) = -8*m**3 - 127*m**2 + 44*m + 127. Let w(z) = 9*d(z) - 4*n(z). Factor w(u).
-4*(u - 1)*(u + 1)*(u + 17)
Suppose -4*z = -5*y - 211, 3*z - 7*y - 153 = -5*y. Let i be 126/z*(-28)/(-42). Solve -2/7*m**4 - 8/7*m + 0 - i*m**3 - 18/7*m**2 = 0 for m.
-4, -1, 0
Let j(r) be the second derivative of -r**4/16 - 319*r**3/8 + 120*r**2 - 672*r. Factor j(h).
-3*(h - 1)*(h + 320)/4
Let d(z) be the first derivative of 1/4*z**3 + 1/4*z**4 - 62 + 0*z - 9/4*z**2 - 1/20*z**5. Factor d(s).
-s*(s - 3)**2*(s + 2)/4
Let w(t) = 33*t**2 + 189*t - 60. Let l(q) = 32*q**2 + 193*q - 51. Let b(u) = 2*l(u) - 3*w(u). Let b(s) = 0. Calculate s.
-39/7, 2/5
Let d = 10426/9 + -1157. Let k = 5/3 - d. Solve -4/9*r**3 + 0*r + 2/9*r**2 + 0 + k*r**4 = 0 for r.
0, 1
Let y(t) be the second derivative of t**4/20 + 1251*t**3/5 + 4695003*t**2/10 + 288*t - 6. Solve y(l) = 0.
-1251
Let c = -612926 + 4290498/7. What is k in c*k - 16/7*k**3 + 22/7*k**2 + 2/7*k**4 - 24/7 = 0?
-1, 1, 2, 6
Let j(z) be the second derivative of 27*z**7/28 + 132*z**6/5 - 123*z**5/2 - 5*z**4/4 + 233*z**3/4 + 63*z**2/2 + 789*z. Let j(u) = 0. Calculate u.
-21, -1/3, -2/9, 1
Suppose 8480*t**3 - 640*t - 119984/5*t**2 + 32000 - 812/5*t**4 + 4/5*t**5 = 0. Calculate t.
-1, 2, 100
Let k = -36749 + 2646073/72. Let v = k - 8/9. Find c, given that 3/8*c**3 - v - 15/8*c**2 + 21/8*c = 0.
1, 3
Let r be 2/8*(34 - 22). Factor 216*z**2 + 269*z**2 - 525*z**2 + 4*z**r + 28*z + 72.
4*(z - 9)*(z - 2)*(z + 1)
Solve -2*w**2 + 8/7 + 270/7*w**5 - 594/7*w**4 + 54*w**3 - 48/7*w = 0.
-1/3, 1/5, 2/3, 1
Let a = -2891 + 2891. Let g(p) be the third derivative of 1/8*p**6 + 0*p**3 + 2/21*p**7 + 0*p + a - 5/6*p**4 - 1/3*p**5 - 2*p**2 + 5/336*p**8. Factor g(u).
5*u*(u - 1)*(u + 1)*(u + 2)**2
Let m = -608 + 5474/9. Suppose 0 = v - 4*t - 0*t - 4, 3*v - 4*t - 4 = 0. What is s in v + 2/9*s - 2/3*s**2 + 2/3*s**3 - m*s**4 = 0?
0, 1
Solve 2/21*k**2 + 3656/21*k + 1670792/21 = 0.
-914
Let c(q) be the first derivative of -4*q**5 + 10*q**3 + 0*q**2 + 0*q - 138 - 5/4*q**4 - 5/6*q**6. What is h in c(h) = 0?
-3, -2, 0, 1
Let a(y) = 9*y + 630. Let q be a(-55). Let t be ((-18)/(-75))/(q/225). Solve t*o**2 + 12/5 - 2*o = 0 for o.
2, 3
Let j(t) be the third derivative of -t**8/23520 + t**7/2205 + 19*t**4/6 + 2*t**2 - 4. Let n(k) be the second derivative of j(k). Determine l so that n(l) = 0.
0, 4
Let a(h) be the first derivative of h**6/1440 + 3*h**5/160 + 7*h**4/48 - h**3 + 2*h**2 + 186. Let m(p) be the third derivative of a(p). Factor m(b).
(b + 2)*(b + 7)/4
Suppose -13*j + 28*j = 120. What is s in 0*s**2 + j*s**2 + 4*s**2 + s - 20*s**2 = 0?
0, 1/8
Let s(m) = -7*m + 52. Let u be s(4). Factor 4 + 3*p**2 + 14 - 7*p - u.
(p - 3)*(3*p + 2)
Let v be 60 - (49 - -11) - -10. Factor -1/4*f**3 + 3/2*f**2 + 9*f + v.
-(f - 10)*(f + 2)**2/4
Let m(v) = 602*v**2 - v - 1. Let b be m(-1). Factor -14*f**2 + 276*f + 16*f**2 + 10124 - b.
2*(f + 69)**2
Let n = -45 - -35. Let h be (n/15)/(((-2)/(-24))/(-1)). Factor 2*i + h + i**2 - 14*i + 21*i.
(i + 1)*(i + 8)
Let j(m) be the first derivative of m**6/60 - 11*m**5/80 + 11*m**4/24 - 19*m**3/24 + 3*m**2/4 + 55*m + 1. Let t(a) be the first derivative of j(a). Factor t(c).
(c - 2)*(c - 1)**2*(2*c - 3)/4
Let v = 9521/35 - 1332/5. Let z = -31/7 + v. Solve 12/5*n + 0 + z*n**3 + 21/5*n**2 - 3/5*n**4 = 0 for n.
-1, 0, 4
Suppose -4*y + 20 = -0*i - 4*i, 2986*y - 14 = 2984*y. Suppose x - 3 = -j, -8 = -5*x - 2*j - 2. Solve -8/3*r + 44/3*r**i + x = 0.
0, 2/11
Let t(x) = -3*x**4 - 12*x**3 - 183*x**2 + 540*x + 9. Let p(v) = 2*v**4 + 6*v**3 + 91*v**2 - 268*v - 5. Let f(w) = -9*p(w) - 5*t(w). Factor f(s).
-3*s*(s - 4)**2*(s + 6)
Find h such that -201*h + 0*h**2 + 667 + h**2 + 74 + 15 + 2*h**2 = 0.
4, 63
Let m(g) be the third derivative of 0*g + 0 + 75/8*g**4 + 274*g**2 + 1/7*g**7 - 28/15*g**6 - 1/2*g**5 + 0*g**3 - 1/336*g**8. Find u, given that m(u) = 0.
-1, 0, 1, 15
Let w = -9 + 13. Suppose 13*p**w + 20*p**2 - 203*p**3 + 109*p**3 + 5*p**4 = 0. What is p?
0, 2/9, 5
Let q(v) be the first derivative of -8*v**4 - 4/3*v**3 + 16*v**2 + 4/5*v**5 - 54 + 0*v. Let q(u) = 0. What is u?
-1, 0, 1, 8
Let o(w) be the first derivative of 11/2*w**4 + 8/3*w**3 + 32*w - 1/3*w**6 - 28*w**2 - 4/5*w**5 - 120. What is p in o(p) = 0?
-4, -2, 1, 2
Let x(k) = -2*k - 18 + 6*k + k. Let l be x(4). Factor 19*j**l + 12 - j**2 + 11*j**2 + 40*j - j**2.
4*(j + 1)*(7*j + 3)
Suppose 5*m**3 - 10*m**4 + 0 + 10*m**2 - 7/2*m - 3/2*m**5 = 0. Calculate m.
-7, -1, 0, 1/3, 1
Factor -12*v**2 + 568*v - 117 - 161 + 90.
-4*(v - 47)*(3*v - 1)
Let b be (-75506)/(-95)*(-15)/(-16). Let u = b + -745. Factor -1/8 - 1/8*j + 1/8*j**3 + u*j**2.
(j - 1)*(j + 1)**2/8
Let t(x) be the first derivative of -x**6/36 - 73*x**5/30 - 67*x**4/3 - 520*x**3/9 + 3245. Factor t(v).
-v**2*(v + 4)**2*(v + 65)/6
Let g(u) be the second derivative of -u**6/15 - 9*u**5/2 - 104*u**4 - 1792*u**3/3 + 12288*u**2 - 2*u + 726. Let g(t) = 0. What is t?
-16, 3
Suppose 342*p**2 + 45*p**2 + 192*p**4 - 624*p**3 + 132*p + 40 - 96*p**3 - 77 + 46 = 0. What is p?
-1/8, 1, 3
Let t(h) = h**2 - 29*h + 183. Let i be t(9). Determine b, given that 6/7*b**5 + 0*b + 0*b**2 + 0 + 0*b**i - 6/7*b**4 = 0.
0, 1
Let u be 1/2*(-64)/(-12). Let i be -1 + 0 + 2 - (-98 + 99). Factor 4/3*w**3 + i - u*w + 4/3*w**2.
4*w*(w - 1)*(w + 2)/3
Let s(y) be the first derivative of -37 - 7/20*y**4 - 11/15*y**3 - 1/2*y**2 - 1/25*y**5 + 0*y. Factor s(l).
-l*(l + 1)**2*(l + 5)/5
Let v(h) be the third derivative of -h**7/105 + 5*h**6/12 - 149*h**5/30 + 227*h**4/12 - 34*h**3 - 1821*h**2. Find r such that v(r) = 0.
1, 6, 17
Let m = 96/5215 + 41432/15645. Suppose 2*c**2 + 2/3*c**4 + 8/3*c - 8/3 - m*c**3 = 0. Calculate c.
-1, 1, 2
Let t = 5/802 + 1183/3208. Find l, given that -87/8 - 45/4*l - t*l**2 = 0.
-29, -1
Let p be 0*((-1)/(-1))/(-1). Let r = 3071808 - 3071808. Suppose 2/17*f - 2/17*f**3 + r + p*f**2 = 0. What is f?
-1, 0, 1
Let j(g) be the first derivative of -g**5/25 + 91*g**4/20 + 52*g**3 + 594*g**2/5 + 12662. Solve j(o) = 0.
-6, -2, 0, 99
Let l = -251 + 246. Let h be l/85*(-323)/38. Find y such that h*y**2 - 3/2 - y = 0.
-1, 3
Let d = -614113/5 + 122823. Determine s so that d*s**3 - 6/5*s + 0 + 4/5*s**2 = 0.
-3, 0, 1
Let g be (-38)/(-12) + 3/(-6). Let r = -1058/75 - -361/25. Determine l so that -7/3 - g*l - r*l**2 = 0.
-7, -1
Suppose 4*f - 2 = -5*l - 4, -4*l = -2*f + 12. Let i be (f/4)/(3 + (-22)/8). Let 67*p**i - 17*p**2 + 85*p - 50*p**3 + 40 + 55*p**3 = 0. What is p?
-8, -1
Let w(t) be the second derivative of -16 + 1/54*t**4 + t + 8/27*t**3 + 4/3*t**2. Factor w(m).
2*(m + 2)*(m + 6)/9
Let s(c) be the third derivative of -13*c**5/20 + 49*c**4/8 - 15*c**3 + 5*c**2 + 64*c. Solve s(b) = 0 for b.
10/13, 3
What is r in 1/3*r**3 + 43/3*r**2 - 529 + 391/3*r = 0?
-23, 3
Find d such that -20/3*d - 154/9*d**2 + 14/9*d**4 + 0 + 200/9*d**3 = 0.
-15, -2/7, 0, 1
Let f be (-267)/28*168/(-630). Let w = -1/7 + f. What is t in 48/5*t**2 + 24/5*t**3 + 8*t + 4/5*t**4 + w = 0?
-3, -1
Let d(g) be the first derivative of 2*g**3/21 - 1052*g**2 + 3873464*g + 11077. Suppose d(n) = 0. Calculate n.
3682
Suppose -9*q + 7*q = p - 53, 4*p = 3*q - 63. Let t be 5 - (q/125 - (-528)/135). Suppose 4/9*g**5 - 4/3*g**3 + 0 + 0*g**4 + t*g**2 + 0*g = 0. What is g?
-2, 0, 1
Let k(l) be the third derivative of -l**5/210 - 3*l**4/28 - 138*l**2 - 3*l. Factor k(f).
-2*f*(f + 9)/7
What is q in 207/8 - 103/4*q - 1/8*q**2 = 0?
-207, 1
Let d(g) be the first derivative of 5*g**6/6 - 3*g**5 - 5*g**4/4 + 35*g**3/3 - 20*g - 822. Let d(k) = 0. Calculate k.
-1, 1, 2
Suppose 0 = -1109*j - 271*j + 246 - 246. Determine w, given that 0*w - 4/3*w**3 + j + 2/3*w**2 = 0.
0