 Let r(k) = -6*k**3 - 368*k**2 + 748*k + 2. Let i(g) = -2*c(g) + 11*r(g). Solve i(s) = 0 for s.
-93, 0, 2
Suppose -434*s - 238*s + 1344 = 0. Find j such that 2/3*j**3 + 0*j - 2/3*j**s + 0 = 0.
0, 1
Let a = -301/4 - -151/2. Let r(u) be the third derivative of 12*u**2 - 9/40*u**5 + a*u**4 + 1/3*u**3 + 0*u + 0. Determine q, given that r(q) = 0.
-2/9, 2/3
Let r(f) be the second derivative of -137*f + 0*f**2 - 3*f**3 - 1/12*f**4 + 0. Suppose r(h) = 0. What is h?
-18, 0
Let q(o) be the first derivative of 5*o**4/4 - 65*o**3 + 375*o**2/2 - 185*o - 592. Factor q(j).
5*(j - 37)*(j - 1)**2
Let c = 614 + -692. Let k = -826/11 - c. Suppose -128/11 - k*z - 2/11*z**2 = 0. Calculate z.
-8
Let s be (-762)/(-42) - 36 - -21. Solve 2/7*j**2 + 24/7*j + s = 0 for j.
-11, -1
Let 2652 - 2*z**5 - 2560 + 499*z**2 + 83*z**4 - 372*z - 26*z**4 - 274*z**3 = 0. What is z?
1/2, 1, 2, 23
Let u(g) = -3*g**2 + 5*g - 5. Suppose -5*d + 2 = 2. Let n = d + 6. Let y(b) = -4*b**2 + 6*b - 6. Let z(w) = n*u(w) - 5*y(w). Let z(k) = 0. What is k?
0
Let n(b) = b - 5*b - 2*b**2 + 6 + 5*b - b**2. Suppose -6*v - 270 + 210 = 0. Let w(j) = -7*j**2 + 3*j + 12. Let l(z) = v*n(z) + 4*w(z). Factor l(p).
2*(p - 2)*(p + 3)
Let b = -43257/460 - -9369/92. Find x such that 387/5*x**2 - 15 - b*x**3 - 189*x = 0.
-1/13, 5
Let d(x) be the second derivative of x**6/30 + x**5/12 - 7*x**4/18 - 10*x**3/9 + 4*x**2/3 + 3*x + 594. Factor d(m).
(m - 2)*(m + 2)**2*(3*m - 1)/3
Determine v so that 0 - 1/5*v**2 + 1/5*v**4 + 58/5*v**3 - 58/5*v = 0.
-58, -1, 0, 1
Determine u, given that 63*u**5 + 1761/7*u**2 - 125/7*u**3 + 4/7 + 24*u - 183*u**4 = 0.
-1, -1/21, 2
Suppose 168/5*h**2 - 736/5 - 20*h**3 + 80*h + 4/5*h**4 = 0. Calculate h.
-2, 2, 23
Let n = 96 + -115. Let p = 21 + n. Solve 27*h**2 - 2 + 20*h**p + 11*h - 34*h**2 = 0 for h.
-1, 2/13
Factor -5*t - 4*t - t**3 + 315*t**2 - 138 + 47 + 10*t - 224.
-(t - 315)*(t - 1)*(t + 1)
Determine c, given that -1574*c + 10*c**2 - 1570*c - 5 - 5*c**4 - 5*c**5 + 3139*c + 10*c**3 = 0.
-1, 1
Let j(k) = -3*k**2 + 5682*k - 2288. Let o(w) = -14*w**2 + 28410*w - 11448. Let t(v) = -33*j(v) + 6*o(v). What is d in t(d) = 0?
2/5, 1136
Factor 4*l**2 - 44*l - 32*l - 11804 + 11876.
4*(l - 18)*(l - 1)
Let b(a) be the second derivative of 0*a**2 - a**3 + 1/20*a**5 + 1/12*a**4 - 51*a + 0. Factor b(p).
p*(p - 2)*(p + 3)
Let p be 22 + 9/(-1) + (-1188)/108. Let k be 44/15 + 2/5. Suppose -k - 2/3*n**3 - 14/3*n**p - 22/3*n = 0. Calculate n.
-5, -1
Let v(i) be the second derivative of 2/15*i**6 - 2/5*i**5 + 8/3*i**3 + 8*i**2 - i**4 + 1 - 14*i. Suppose v(s) = 0. Calculate s.
-1, 2
Let r(s) = 9*s**3 + 45*s**2 + 46*s - 58. Let o(u) = 8*u**3 + 44*u**2 + 44*u - 60. Let i(w) = 7*o(w) - 6*r(w). Solve i(z) = 0 for z.
-18, -2, 1
Suppose -5*j = -2*g + 2320, 11*j + g = 13*j + 927. Let b = j + 466. Let 6/13*k**3 - 2/13*k**2 + 2/13*k**5 + b*k + 0 - 6/13*k**4 = 0. Calculate k.
0, 1
Let w be (-3810)/2340*-26 + -41. Suppose -11/3*z**2 + 0*z + w - 3*z**3 - 2/3*z**4 = 0. What is z?
-2, -1, 1/2
Solve -27/8*i**3 - 1/8*i**5 + 0 - 3/2*i - 31/8*i**2 - 9/8*i**4 = 0 for i.
-4, -3, -1, 0
Suppose -5*j = -5*s, -25 = -7*s + 4*s - 2*j. Let m be s/(-4) + (-1500)/336 + 6. Let 2/7 - 2/7*v**2 + m*v - 2/7*v**3 = 0. Calculate v.
-1, 1
Factor -5/4*w**4 - 1/4*w**5 + 7/4*w + 3/4 + 1/2*w**2 - 3/2*w**3.
-(w - 1)*(w + 1)**3*(w + 3)/4
Suppose -12*r + w = -8*r - 6, 2*w + 2 = 3*r. Factor 15*d + 26*d**2 + 4*d**3 - 5*d**3 - 8*d**r + 4*d**3.
3*d*(d + 1)*(d + 5)
Let c(n) be the third derivative of n**6/160 + 19*n**5/40 + 9*n**4/4 - 1984*n**2. Factor c(y).
3*y*(y + 2)*(y + 36)/4
Let n(o) = -o**3 - 4*o**2 - 13*o - 38. Let x be n(-4). Suppose -4*d + 12 = 4*z, 13*z = x*z + 4*d. What is v in 0 + 0*v**2 + 0*v - 1/4*v**z + 1/2*v**3 = 0?
0, 2
Let l(f) be the second derivative of -5*f**7/42 + 2*f**6/3 + 209*f**5/4 + 85*f**4 - 469*f - 2. Solve l(p) = 0 for p.
-12, -1, 0, 17
Let g(w) = -15*w**4 - 21*w**3 + 42*w**2 - 24*w - 84. Let a(t) = t**4 + 2*t**3 - t**2 + t + 1. Let l(c) = -12*a(c) - g(c). Suppose l(r) = 0. Calculate r.
-2, 2, 3
Find a such that 6487304 - 6490708 + 2*a**2 - 2609*a - 793*a = 0.
-1, 1702
Let j be (-8)/(2160/1875) - -7. Let w(k) be the second derivative of -j*k**6 + 0*k**3 + 0*k**4 - 19*k + 0 + 5/126*k**7 + 0*k**2 + 0*k**5. Factor w(o).
5*o**4*(o - 1)/3
Suppose -60434*f**2 + 48*f - 24 + 60431*f**2 - 60 = 0. Calculate f.
2, 14
Let b(l) = 312*l + 6555. Let c be b(-21). Let p(h) be the third derivative of -1/24*h**5 - 25/48*h**4 - 5/3*h**c - 12*h**2 + 0*h + 0. Factor p(s).
-5*(s + 1)*(s + 4)/2
Suppose 12*r = -t + 10*r - 6, -4*t + 12 = -r. Find y, given that 121*y**t - 61*y**2 - 44*y - 56*y**2 = 0.
0, 11
Suppose 6*f - 21 = -f. Let -15 - 16*i + 5*i**f + 51*i - 358*i**2 + 333*i**2 = 0. What is i?
1, 3
Suppose 0 = 35*u - 1267 + 7. Let o(a) be the first derivative of 0*a + 1/3*a**3 + 3/2*a**2 + u. Factor o(g).
g*(g + 3)
Let o(m) = -3*m**2 + 17*m + 210. Let q be o(-6). Suppose -1/3*v + 1/3*v**3 - 1/6 + 1/6*v**4 + q*v**2 = 0. What is v?
-1, 1
Let y = -495545/3 + 165183. Factor 4/3*k**4 + k**3 - y*k - 4/3*k**2 + 1/3*k**5 + 0.
k*(k - 1)*(k + 1)*(k + 2)**2/3
Let o be (-1)/(-1) + 46/6. Let w(j) = -3656*j - 160859. Let f be w(-44). Factor 0 + 8*v**2 + o*v**3 + 8/3*v + 2/3*v**f + 4*v**4.
2*v*(v + 1)**2*(v + 2)**2/3
Let s = -122 + 125. Determine n so that 12 - n**2 - 2*n + 2*n**s - 10 - n**2 = 0.
-1, 1
Let g(m) be the second derivative of 158*m - 1/6*m**4 - 14/15*m**3 - 1/100*m**5 - 12/5*m**2 + 0. Find k, given that g(k) = 0.
-6, -2
Suppose 16074 = 3*c - 5*n - 2425, -12328 = -2*c + n. Factor 3*x**3 - c*x**5 + 9*x**4 - 6*x + 6166*x**5 + 0*x**4 - 9*x**2.
3*x*(x - 1)*(x + 1)**2*(x + 2)
Let h be 7 + -1*(-192)/16*10/(-24). Solve 8/7*o**2 - 1/7*o**3 - 5/7*o - h = 0 for o.
-1, 2, 7
Let l be (3/1)/(3 - 4). Let k be (l - -15)/(4*3/6). Suppose -k - 12 - 60*v + 112*v**2 + 26 = 0. Calculate v.
1/4, 2/7
Let u be (3720/(-378))/((118 - 109)*4/(-126)). Find a such that -8/3*a**4 + 52/9*a**2 - 406/9*a**3 + 68/9 + u*a = 0.
-17, -2/3, -1/4, 1
Determine j so that 0 + 16/5*j + 2/5*j**4 + 2/5*j**3 - 4*j**2 = 0.
-4, 0, 1, 2
Factor 196 + 333*t - 4*t**3 - 5*t**2 - 36*t**2 - 227*t - 53*t**2.
-2*(t - 2)*(t + 1)*(2*t + 49)
Suppose 0 = 3*u - 0*u - 6. Suppose 0 = u*b + 1 - 5. Factor -81 + 81 - 4*v**3 - 4*v - 8*v**b.
-4*v*(v + 1)**2
Let o(b) = 207*b**2 + 135*b + 987. Let y(c) = -14*c**2 - c. Let x(r) = o(r) + 15*y(r). Solve x(k) = 0.
-7, 47
Let x = 65872 + -65534. Suppose -x - 1/2*u**2 - 26*u = 0. Calculate u.
-26
Let j(d) be the first derivative of 42350/3*d**6 - 18880/3*d**3 + 17288*d**4 + 1248*d**2 + 269 - 128*d - 24552*d**5. What is c in j(c) = 0?
2/11, 2/7, 2/5
Let m(y) be the first derivative of y**4/4 - 50*y**3/3 - 53*y**2/2 + 102*y - 587. Solve m(x) = 0.
-2, 1, 51
Factor 4050/7 - 16/7*d**3 + 2/7*d**4 - 148/7*d**2 + 720/7*d.
2*(d - 9)**2*(d + 5)**2/7
Let k(a) be the third derivative of -a**5/4 + 85*a**4/12 - 55*a**3/6 - 1436*a**2. Let k(t) = 0. What is t?
1/3, 11
Let h(f) = -f**3 - 7*f**2 - 6*f. Let u be h(-6). Let n be (-10)/(-5060)*231 + 4/92. Find a, given that u - 1/2*a**3 - 1/4*a**2 + n*a + 1/4*a**4 = 0.
-1, 0, 1, 2
Let d(g) be the first derivative of 54 + 12*g + 3/2*g**2 - 3/4*g**4 - 4*g**3. Factor d(a).
-3*(a - 1)*(a + 1)*(a + 4)
Let z be 12/9*6/76. Let g be 41 + -37 + (-144)/(-76)*-2. Factor -g*f**2 + 4/19*f**4 + 0 + 0*f**3 + z*f**5 - 2/19*f.
2*f*(f - 1)*(f + 1)**3/19
Determine s so that -4*s**3 - 21884*s + 22042*s + 88 + 48*s**2 + 2*s**3 + 20 = 0.
-2, -1, 27
Let u(t) be the second derivative of t**7/84 - 7*t**6/60 - 3*t**5/10 + 7*t**4/6 + 8*t**3/3 - 2*t - 3022. Solve u(k) = 0.
-2, -1, 0, 2, 8
Let y = -412171 - -412174. Factor 0 + 5/2*m**2 + 1/2*m**4 + m + 2*m**y.
m*(m + 1)**2*(m + 2)/2
Let c(a) be the first derivative of 5*a**3/3 - 25*a**2 + 34. Factor c(j).
5*j*(j - 10)
Let w(a) be the second derivative of a**4/96 - 17*a**3/4 + 203*a**2/16 + 352*a. Factor w(n).
(n - 203)*(n - 1)/8
Let t(s) = -6*s**2 - 16*s - 18. Let g(m) be the first derivative of -2*m**3/3 - m**2/2 + m + 277. Let o(v) = 2*g(v) - t(v). Let o(k) = 0. What is k?
-5, -2
Let s = 19 - -45. Let c be 4/18 + (-3)/((-108)/s). Factor 7*u**2 - 337*u**4 - 4*u**2 + 336*u**4 + c*u.
-u*(u - 2)*(u + 1)**2
Let q = -285 + 287. Let g = 18 + -10. Factor g*r**2 - 6 + 1 - 4*r**4 - q + 3.
-4*(r - 1)**2*(r + 1)**2
Factor 0 