/(-1). Let -4/25*c**3 + 4/25*c + 0*c**2 - 2/25 + f*c**4 = 0. What is c?
-1, 1
Suppose 3/5*f**5 + 6230319/5*f + 447/5*f**4 + 632478/5*f**2 + 5622483/5 + 25086/5*f**3 = 0. Calculate f.
-37, -1
Let v(w) be the second derivative of 6/5*w**4 + 10 + 1/150*w**6 + 0*w**2 - 3/20*w**5 - 18/5*w**3 + 2*w. Find t, given that v(t) = 0.
0, 3, 6
Factor -168 - 2/7*t**3 - 32*t + 50/7*t**2.
-2*(t - 14)**2*(t + 3)/7
Let c = -72 + 121. Let d be (-24)/(-15) - 6/(-15). Factor -c + 2*q + 53 + q**d - 3*q**2.
-2*(q - 2)*(q + 1)
Suppose 2/11*x**4 + 10*x - 230/11*x**2 - 10*x**3 + 228/11 = 0. Calculate x.
-2, -1, 1, 57
Let q(c) = -55*c**4 - 125*c**3 + 485*c**2 - 505*c + 25. Let t(l) = 9*l**4 + 21*l**3 - 82*l**2 + 84*l - 4. Let i(x) = -4*q(x) - 25*t(x). Factor i(y).
-5*y*(y - 2)*(y - 1)*(y + 8)
Let z = 1167318 - 1167315. Factor -15/4*g**2 + 21/4*g**z + 0 - 9/4*g**4 + 3/4*g.
-3*g*(g - 1)**2*(3*g - 1)/4
Let z(q) be the third derivative of -289/2*q**3 + 0 + 17/4*q**4 - 3*q**2 - 1/20*q**5 + 16*q. Let z(x) = 0. What is x?
17
Factor 736/5 - 352/5*i + 38/5*i**2 + 1/5*i**3.
(i - 4)**2*(i + 46)/5
Let y(o) be the third derivative of 0*o + 2/3*o**3 - 1/8*o**4 - 15 + 2*o**2 + 1/120*o**5. Factor y(a).
(a - 4)*(a - 2)/2
Let p(x) be the second derivative of -x**7/273 - 8*x**6/39 - 217*x**5/130 - 227*x**4/39 - 412*x**3/39 - 136*x**2/13 + 66*x - 22. Find r such that p(r) = 0.
-34, -2, -1
Let f(i) be the third derivative of -1 + 0*i**3 + 49/6*i**7 + 7*i**5 + 0*i + 4*i**2 - 5/3*i**4 - 49/4*i**6. Factor f(k).
5*k*(7*k - 2)**3
Suppose -8*y + 212 - 20 = 0. Let p be y/18 + (-60)/(-9). Let 4*g**3 + 0*g**2 - 6*g**5 + 8*g**2 - 9*g**5 - p*g**4 - 6*g + 17*g**5 = 0. Calculate g.
-1, 0, 1, 3
Factor -253611253 + 2956007087 + 1463309*u - 1423098*u + 1332376621 + 13965*u**2 + 5*u**3 + 12961204*u.
5*(u + 931)**3
Let w(g) be the first derivative of 1162*g**4 - 61 - 109 - 4*g**5 - 1163*g**4 + 28. Determine c so that w(c) = 0.
-1/5, 0
Let q(u) be the first derivative of -5*u**6/6 - 32*u**5 - 510*u**4 - 4320*u**3 - 20520*u**2 - 51840*u + 636. Let q(z) = 0. What is z?
-8, -6
Let c(j) be the second derivative of 0 + 3/4*j**2 - 1/16*j**4 + 1/8*j**3 - 93*j. Determine d so that c(d) = 0.
-1, 2
Let v(t) be the first derivative of -t**4 - 320*t**3/3 - 2666*t**2 + 44376*t - 3713. Solve v(y) = 0 for y.
-43, 6
Factor 39*q - 252 - 3/2*q**2.
-3*(q - 14)*(q - 12)/2
Determine y so that 0*y - 73/7*y**2 - 1160/7*y**4 + 583/7*y**3 + 0 - 16/7*y**5 = 0.
-73, 0, 1/4
Let a be 1292/1122 + 6/33. Let n be 12/42 - (-8)/21. Suppose 4/3 - a*l**2 + n*l**3 - 2/3*l = 0. What is l?
-1, 1, 2
Let 30*w**4 - 46/3*w + 0 + 445/6*w**3 + 30*w**2 + 7/6*w**5 = 0. What is w?
-23, -2, -1, 0, 2/7
Let f(a) = 9*a**3 + a**2 + a - 1. Let t be f(1). Suppose t*z**2 - 120*z - 10*z**3 + 35*z**2 + 20*z**2 + 45 = 0. What is z?
1/2, 3
Suppose -2/3*v**5 + 4/3*v**4 + 952/3*v**2 + 262/3*v**3 + 448/3 + 1144/3*v = 0. Calculate v.
-8, -2, -1, 14
Factor -27 + 51/4*y**2 + 3/4*y**3 - 15*y.
3*(y - 2)*(y + 1)*(y + 18)/4
Factor 0 - 35/3*n - 1/3*n**4 - 71/3*n**2 - 37/3*n**3.
-n*(n + 1)**2*(n + 35)/3
Let y(m) = -60 + 52 + 2*m**2 + 42 - 5*m**2 + 42*m. Let o(a) = -a**2 + 14*a + 12. Let v(g) = -17*o(g) + 6*y(g). Find w such that v(w) = 0.
0, 14
Let j(b) be the first derivative of -75*b**6/16 - 111*b**5 + 299*b**4/8 - 10*b**3/3 + 4270. Factor j(l).
-l**2*(l + 20)*(15*l - 2)**2/8
Suppose -6*a + 28 = -8. Solve -14*r**5 - 59*r**4 - a*r**2 - 13*r**4 - 39*r**3 - 13*r**5 = 0 for r.
-2, -1/3, 0
Let k(d) be the first derivative of 3*d**5/140 + d**4/8 - 5*d**3/7 + d**2 - d + 68. Let u(h) be the second derivative of k(h). Factor u(l).
3*(l - 1)*(3*l + 10)/7
Let y be (-1)/3 + (-1648)/24 + -3. Let o be ((-25)/(-20))/((-18)/y). Factor -9/5*g**3 + 3/5*g**o + 0 - 6/5*g - 3/5*g**4 + 3*g**2.
3*g*(g - 1)**3*(g + 2)/5
Suppose 23*b - 6 = 17*b. Let v(u) = 5*u**4 + u**3 - 5*u**2 + u - 4. Let l(x) = -x**4 + x**2 + x - 2. Let w(k) = b*v(k) - 2*l(k). Factor w(s).
s*(s - 1)*(s + 1)*(7*s + 1)
Let q be 155/(930/30) - (0 - -5). Let k(m) be the second derivative of 27/80*m**5 + 0 - 1/4*m**4 + q*m**3 - 30*m + 0*m**2. What is t in k(t) = 0?
0, 4/9
Let a be (-17560)/240 - -74 - (-2)/(-3). Factor 1/2*y - 2/3*y**3 + 0*y**4 + a*y**5 + 1/3 - 1/3*y**2.
(y - 2)*(y - 1)*(y + 1)**3/6
Let b be -6*8/(-48)*(-1 + 4). Factor -48*a**2 + 39*a**2 - 2*a**b - a**4 + 17*a**2.
-a**2*(a - 2)*(a + 4)
Let n(j) be the third derivative of 2/105*j**5 - 1/140*j**6 - 2/21*j**3 + 5/84*j**4 - j**2 + 0*j - 2. Factor n(d).
-2*(d - 2)*(d + 1)*(3*d - 1)/7
Let d be 0*(2 + 5/2 - 5). Let w(z) be the first derivative of 0*z - 1/4*z**4 + d*z**2 + 1/3*z**3 - 11. Find f such that w(f) = 0.
0, 1
Suppose 0 = -53*f + 52*f + 61. Let k = -52 + f. Factor 6*j**2 + 10*j + 9*j**2 + 2 + k*j - 8*j.
(3*j + 1)*(5*j + 2)
Find o such that -1470*o**2 + 22*o**2 + 72*o**3 - 40*o**5 + 567*o**4 + 13*o**5 - 336 - 835*o - 493*o = 0.
-2/3, 2, 21
Find v, given that -508/3*v - 512/3*v**2 + 0 - 131/3*v**3 - 1/3*v**4 = 0.
-127, -2, 0
Suppose -11 + 59 + 8 = 14*k. Let l(w) be the first derivative of 2*w**5 + 5*w**2 + 5 + 1/3*w**6 + 2*w + 20/3*w**3 + 5*w**k. Find y such that l(y) = 0.
-1
Solve -76*a + 371 + 43*a + 606*a - 5*a**2 + 424 + 217*a = 0.
-1, 159
Let u(j) = -2*j + 2. Let x be u(-11). Find y such that 6 - x*y**2 + 3*y + 11*y**3 + 3*y**4 - 14*y**3 + 15*y**2 = 0.
-1, 1, 2
Let f be ((-3152)/(-48))/((-6)/(-252)). Let r be ((-3)/(-8))/(591/f). Find k such that -r*k**2 - 1/4 - 3/4*k**3 - 5/4*k = 0.
-1, -1/3
Suppose 18*g**4 - 8/11*g**5 - 12764/11*g**2 + 10776/11*g + 262*g**3 + 3536/11 = 0. Calculate g.
-13, -1/4, 2, 34
Let t be ((-8)/(-18))/((-3)/(-18)). Let x = 14823/8 + -44453/24. Solve x*o**3 + t*o**2 + 2*o + 0 = 0 for o.
-3, -1, 0
Factor -17/4 - 1/8*z**2 + 19/8*z.
-(z - 17)*(z - 2)/8
Let s(y) be the second derivative of -y**4/12 - 473*y**3/6 - 236*y**2 + 1150*y. Factor s(a).
-(a + 1)*(a + 472)
Factor -2*a**2 - 34 + 36*a - a**2 + 16*a**2 - 12*a**2 - 3*a**2.
-2*(a - 17)*(a - 1)
Let a(k) be the third derivative of -19/56*k**4 + 0 + 33/7*k**3 - 1/140*k**5 + 0*k + 2*k**2. Factor a(l).
-3*(l - 3)*(l + 22)/7
Let y(k) be the first derivative of -k**4/36 + 11*k**3/9 - 121*k**2/6 - 117*k - 81. Let d(g) be the first derivative of y(g). Find o such that d(o) = 0.
11
Let u(d) be the first derivative of -d**6/6 - 14*d**5/5 - 33*d**4/4 + 4*d**3/3 + 22*d**2 + 116. Factor u(i).
-i*(i - 1)*(i + 2)**2*(i + 11)
Let v(j) = 4*j**4 - 10*j**3 + 60*j**2 - 174*j + 120. Let n(p) = -3*p**4 + 8*p**3 - 59*p**2 + 172*p - 118. Let b(w) = -6*n(w) - 5*v(w). Factor b(q).
-2*(q - 3)**2*(q - 1)*(q + 6)
Let n(a) be the second derivative of 25/12*a**4 + 1 + a + 0*a**3 + 0*a**2 + 1/4*a**5. Determine v, given that n(v) = 0.
-5, 0
Let b(g) be the third derivative of -g**5/50 - 97*g**4/20 + 403*g**2. Factor b(m).
-6*m*(m + 97)/5
Let x(n) be the third derivative of n**5/450 + 19*n**4/180 - 24*n**3/5 + 37*n**2 + 5*n. What is y in x(y) = 0?
-27, 8
Suppose 4 = 2*x + 4 - 0. Let z(j) be the second derivative of -1/4*j**5 - 7*j + 0*j**2 + x - 5/24*j**3 + 25/48*j**4. Factor z(g).
-5*g*(g - 1)*(4*g - 1)/4
Let i(t) be the second derivative of t**7/5040 - t**6/540 + t**5/720 + t**4/24 - 25*t**3/6 + 13*t - 3. Let d(b) be the second derivative of i(b). Factor d(a).
(a - 3)*(a - 2)*(a + 1)/6
Let w(l) be the second derivative of l**7/56 + l**6/5 + 39*l**5/80 + 3*l**4/8 + l - 708. Factor w(r).
3*r**2*(r + 1)**2*(r + 6)/4
Let f = 10/5027 - -23792761/15081. Let g = 1579 - f. Find s, given that 0*s + 0*s**3 + g*s**2 - 2/3 - 2/3*s**4 = 0.
-1, 1
Suppose -2*g + 16 = -j, -3*j - 4*g + 15891 = 15849. Suppose -4/3*f**3 - 26/9*f**j - 8/3*f - 2/9*f**4 - 8/9 = 0. Calculate f.
-2, -1
Let u(g) be the first derivative of -2/55*g**5 - 5/22*g**4 - 12 + 0*g**3 + 0*g + 0*g**2. Let u(r) = 0. Calculate r.
-5, 0
Factor 3/2*f**4 - 33/2*f**3 + 51/2*f**2 + 213/2*f + 63.
3*(f - 7)*(f - 6)*(f + 1)**2/2
Suppose 5*v + 4*j - 47 = 0, 4*v - 4*j + j - 19 = 0. Find t such that v - 7*t + 8*t**3 - t - 4639*t**4 + 4638*t**4 - 6*t**2 = 0.
-1, 1, 7
Factor -72/5 + 34/5*w + 1/5*w**2.
(w - 2)*(w + 36)/5
Factor 528*g**2 - 662*g**3 - 656*g**3 + 88*g - 657*g**3 - 620*g + 1979*g**3.
4*g*(g - 1)*(g + 133)
Let y be ((12/14)/(-1))/((-10)/14). Let i = 21324 + -106618/5. Factor -y*z + i*z**2 + 4/5.
2*(z - 2)*(z - 1)/5
Suppose 3*z - 184 + 681 = 5*j, 5*j + 10 = 0. Let u = z + 169. Fac