 -37/3*t**3 - 2/3*t + h - 5*t**2 - 3*t**5 - 11*t**x = 0.
-2, -1, -1/3, 0
Let a(g) = -76*g**3 - g**2 - 3*g - 4. Let p be a(-2). Let j = p - 346. Factor 2*b**2 + 9 + 11 - 282*b + j*b.
2*(b - 10)*(b - 1)
Determine w so that 5/6*w**4 + 235/2*w**2 - 695/6*w + 115/3 - 245/6*w**3 = 0.
1, 46
Factor -8*z**3 - 3*z**3 + 30*z**2 - 55626 + 4*z**3 - z**4 + 55626.
-z**2*(z - 3)*(z + 10)
Factor -22201/3 + 1/3*k**4 + 298/3*k**3 - 298/3*k + 7400*k**2.
(k - 1)*(k + 1)*(k + 149)**2/3
Let k(v) be the first derivative of -4*v**3/3 + 1108*v**2 - 3457. Factor k(n).
-4*n*(n - 554)
Let h(j) be the first derivative of -4/25*j**5 + 0*j - 4/5*j**4 + 64/15*j**3 + 128/5*j**2 - 126. Suppose h(n) = 0. Calculate n.
-4, 0, 4
Let r be (-4)/(-3) - 4/18. Let v be (-8)/20*(-3 + 18 + -20). Solve r*l + 2/9*l**v - 2/9*l**3 + 2/3 = 0 for l.
-1, 3
Solve -115*q**3 - 210*q**2 + 880 + 460*q - 5/2*q**4 = 0 for q.
-44, -2, 2
Let r(q) = -128*q**2 + 774*q - 1208. Let y(g) = -g**3 + 21*g + 2. Let w(u) = -2*r(u) - 2*y(u). Let w(z) = 0. What is z?
-134, 3
Suppose -w = 271 - 273. Factor 14*i + 6*i - 9*i**3 + 12*i + 3*i**w - i**3 + 20 - i**4.
-(i - 2)*(i + 1)**2*(i + 10)
Let l(o) be the second derivative of o**5/30 + 3*o**4/4 - 121*o**2/2 - 5*o - 4. Let x(p) be the first derivative of l(p). Determine y, given that x(y) = 0.
-9, 0
Let k(u) = 91*u**2 - 68*u + 245. Let i(t) = 164*t**2 - 133*t + 489. Let a(q) = -5*i(q) + 9*k(q). Let a(v) = 0. What is v?
5, 48
Let l(z) be the third derivative of 0 - 2*z**2 + 17/3*z**3 - 82*z - 17/30*z**5 + 1/120*z**6 - 1/24*z**4. Suppose l(t) = 0. Calculate t.
-1, 1, 34
Determine l so that 99*l**3 - 98*l**4 - 324*l**2 - 2*l**5 + 6*l**5 + 153*l**3 + 192*l**3 - 26*l**4 = 0.
0, 1, 3, 27
Let x(p) be the third derivative of p**6/96 - p**5/16 - 5*p**4/96 + 5*p**3/8 + 968*p**2. Factor x(s).
5*(s - 3)*(s - 1)*(s + 1)/4
Let o(b) be the second derivative of -b**7/504 + b**6/72 + b**5/8 + 15*b**4/4 - 43*b - 2. Let x(q) be the third derivative of o(q). Factor x(u).
-5*(u - 3)*(u + 1)
Let r(s) be the first derivative of -s**6/45 + 2*s**5/75 + 7*s**4/30 - 26*s**3/45 + 2*s**2/5 - 667. Solve r(d) = 0 for d.
-3, 0, 1, 2
Suppose -14 = -3*n - 8. Factor 30*b + 2*b + 102 + b**n + 154.
(b + 16)**2
Let b be 80/(-15)*(-7 - -1)/1. Let o = -30 + b. Factor -9*m + m**o - 6*m**2 + 8*m**2 + 12 - 6*m**2.
-3*(m - 1)*(m + 4)
Suppose 49*x - 51*x = 32. Let v(s) = -2*s**2 + 2*s + 7. Let y(q) = 10*q**2 - 10*q - 36. Let h(k) = x*v(k) - 3*y(k). Solve h(c) = 0.
-1, 2
Let t(i) be the second derivative of 13*i**4/12 - 127*i**3/30 - 3*i**2/5 - 13329*i. Factor t(x).
(x - 2)*(65*x + 3)/5
Let b be 0/((-45)/(-54) + 138/(-36)). Let u(y) be the second derivative of -1/20*y**4 - 1/5*y**3 + b*y**2 - 2 - 2*y. Solve u(k) = 0 for k.
-2, 0
Suppose -119*w + 4*w**4 - 4*w**5 - 19*w - 24*w**2 - 149 + 41 + 56*w**3 + 65*w - 107*w = 0. Calculate w.
-3, -1, 3
Suppose 4*b + 3*k - 2*k - 4 = 0, -k - 7302 + 7290 = 0. Factor -6/7*p**b + 0 + 8/7*p**2 + 0*p + 0*p**3 + 2/7*p**5.
2*p**2*(p - 2)**2*(p + 1)/7
Let x(o) be the first derivative of 34 + 19/7*o + 37/14*o**2 + 17/21*o**3 - 1/28*o**4. Factor x(j).
-(j - 19)*(j + 1)**2/7
Let v be -475*((-4)/3*-1)/2. Let o = v + 317. Solve 0 + o*l**3 + l - 4/3*l**2 = 0 for l.
0, 1, 3
Let c(p) be the third derivative of 0*p + 1/300*p**5 + 0*p**3 - 38*p**2 + 0 - 1/120*p**4. Let c(a) = 0. What is a?
0, 1
Suppose 7*i - i = -336. Let v be 1/5 + -3*i/35. Factor -581 - v*g**3 + 3*g**2 - 13*g**2 - 5*g + 581.
-5*g*(g + 1)**2
Let h(j) = -j. Let a(f) = -10*f + 6. Let p(l) = -2*a(l) + 22*h(l). Let v be p(-7). Factor v*w**5 + 3*w**4 - 14*w**2 - 8*w**4 + 4*w + 18*w**3 - 5*w**4.
2*w*(w - 2)*(w - 1)**3
Factor -124/3 + 122/3*k + 2/3*k**2.
2*(k - 1)*(k + 62)/3
Suppose 3*m - 893 + 581 = 39*d, 8 = -m - d. Solve 18*v + 1/2*v**2 + m = 0 for v.
-36, 0
Suppose 8 = -14*x + 16*x + 2*o, -x + o = -4. Let z(f) be the first derivative of f**x - 2*f**2 - 17 - 4*f**3 + 8*f + 4/5*f**5. Find s such that z(s) = 0.
-2, -1, 1
Let q be (-48)/368*-23*(-1 - -2) - 1. Let d(w) be the second derivative of -2*w - 2/21*w**4 - 5/21*w**3 + 41 - 2/7*w**q - 1/70*w**5. Factor d(u).
-2*(u + 1)**2*(u + 2)/7
Let k(h) be the first derivative of -h**4/7 + 872*h**3/7 - 285144*h**2/7 + 41440928*h/7 + 1317. Factor k(b).
-4*(b - 218)**3/7
Determine h, given that -407*h**2 - 482*h**2 + 420*h - 1632 - 412*h**2 + 1298*h**2 = 0.
4, 136
Let f be 5/(15/(-8))*90/(-12). Let w(c) = -15*c**2 + 50*c + 5. Let m(t) = t**2 - 2*t - 1. Let k(o) = f*m(o) + w(o). Let k(p) = 0. What is p?
-3, 1
Suppose -2651*i + 2124*i = -2108. Factor -2 + 2/5*m**i + 12/5*m + 8/5*m**2 - 12/5*m**3.
2*(m - 5)*(m - 1)**2*(m + 1)/5
Suppose -14*m + 14*m = 12*m. Let d(a) be the second derivative of 0*a**2 + 11*a - 1/24*a**3 + 3/160*a**5 - 1/96*a**4 + m. Let d(h) = 0. What is h?
-2/3, 0, 1
Let f(m) be the third derivative of m**7/105 - m**6/4 + 23*m**5/10 - 97*m**4/12 + 14*m**3 - 2*m**2 + 119*m. Find a such that f(a) = 0.
1, 6, 7
Let u be (186/(-18) + 3 + 6)*(1 + -2). Let h(b) be the second derivative of 5/6*b**4 + 0 - 11*b - b**2 + u*b**3. Let h(w) = 0. What is w?
-1, 1/5
Let c be (12 - (-1020)/(-84)) + 890/7. Let a = 127 - c. Factor -5/3*x**2 + 2/3*x**3 - 2*x + a + 1/3*x**4.
x*(x - 2)*(x + 1)*(x + 3)/3
Let d = 165 - 161. Determine l so that 2*l**2 + d + 4 + 8*l - 3 + 1 = 0.
-3, -1
Suppose 0 = -4*v + 4*f + 96, -2*v + 857*f - 856*f + 37 = 0. Determine x so that v*x + 1/4*x**2 + 169 = 0.
-26
Let c be ((-24)/56)/(((-14157)/154)/9 - -10). Solve -24/5 - 8/5*k**3 + 54/5*k**c - 82/5*k = 0 for k.
-1/4, 3, 4
Factor 1/9*g**2 - 34 + 5*g.
(g - 6)*(g + 51)/9
Let i = -345 + 344. Let r be (-2 + i)*18/(-216). Let 1/4*f + r*f**2 + 0 = 0. Calculate f.
-1, 0
Let z(y) be the third derivative of y**8/5040 + y**7/420 - y**6/45 + 7*y**5/6 + 46*y**2. Let p(t) be the third derivative of z(t). Factor p(f).
4*(f - 1)*(f + 4)
Let a = 1314 + -1310. Let s(k) = 14*k**3 - 14*k**2 + 5*k - 11. Let c(r) = 6*r**3 - 2 - r**3 + 2*r - 5*r**2 - 2. Let f(t) = a*s(t) - 11*c(t). Factor f(g).
g*(g - 2)*(g + 1)
Let r = 723/14260 - 1/1426. Let j(a) be the first derivative of -r*a**5 - 12 - 1/12*a**3 + 0*a**2 + 1/8*a**4 + 0*a. Solve j(g) = 0.
0, 1
Let w(r) be the second derivative of -r**5/100 - r**4/30 - r**3/30 + 3369*r + 1. Suppose w(z) = 0. Calculate z.
-1, 0
Let t = -149395 + 149398. Factor -18/7 - 12/7*d**t - 74/7*d**2 - 120/7*d.
-2*(d + 3)**2*(6*d + 1)/7
Let g = -4279 - -4283. Let i(u) be the first derivative of -5/3*u**3 + 0*u**2 - u**5 + 0*u - 5/2*u**g - 9. Factor i(n).
-5*n**2*(n + 1)**2
Let 363*p**4 + 7058*p**2 - 965*p**2 + 912 + 6132*p**2 + 5976*p + 7524*p**3 = 0. Calculate p.
-19, -1, -4/11
Let a(j) = j**2 - 12*j + 2. Let h be a(12). Let q = -21 + 25. Suppose 36*s**4 + 3*s**3 - 20*s**4 + 2*s**h - 21*s**q = 0. What is s?
-2/5, 0, 1
Suppose 1026*s - 1632 - 1039 = 407. Factor -3/2 + 0*c**2 - 7/4*c + 1/4*c**s.
(c - 3)*(c + 1)*(c + 2)/4
Let t(n) = 6*n + 54. Let z be t(-7). Let 111*y**3 - 48*y**4 + 63*y**5 - 15*y**4 - z*y - 130*y**4 + 24*y**2 + 7*y**4 = 0. What is y?
-1/3, 0, 2/7, 1, 2
Factor 91*s**3 - 179*s**3 + 303*s**2 + 9405 + 6471 + 3276*s + 92*s**3 - 99*s**2.
4*(s + 9)*(s + 21)**2
Let 118*w + 1/2*w**2 + 235/2 = 0. Calculate w.
-235, -1
Let b be 2 - (-11)/(-7) - (108230/2212 + -51). Solve -5/6*u**5 + 55/6*u**2 - b*u**4 + 5/2*u**3 + 5*u + 0 = 0.
-3, -1, 0, 2
Let w = -553 + 555. Let k(s) be the first derivative of 2 - 1/9*s**3 + w*s + 1/6*s**2. Factor k(l).
-(l - 3)*(l + 2)/3
Factor 3*w + 54/7 - 3/7*w**2.
-3*(w - 9)*(w + 2)/7
Suppose 108*z - 115*z + 735 = 0. Suppose m**5 - 4332 + 2*m**5 + 208*m**2 + 741*m**3 + 456*m + 3029*m**2 - z*m**4 = 0. What is m?
-2, 1, 19
Let c = -66393797/78 + 851183. Let b = c - -119/6. Determine y so that 0*y + 0 - b*y**2 + 2/13*y**5 + 0*y**4 - 6/13*y**3 = 0.
-1, 0, 2
Let w be (-12)/(-30) + 4/((-160)/(-18524)). Let n = w - 462. Suppose n*p**2 + 9/2*p - 1/2*p**3 + 5/2 = 0. What is p?
-1, 5
Let y(x) be the second derivative of 0*x**2 + 7*x - 1/80*x**5 + 3 + 0*x**3 + 1/48*x**4. Find l, given that y(l) = 0.
0, 1
Let r be (-47 - -7 - -37) + 159/39. Determine t so that 4/13*t**2 - r*t - 8/13 = 0.
-1/2, 4
Let g(b) be the second derivative of -b**7/84 + 77*b**6/30 + 79*b**5/20 - 115*b**4/6 - 773*b**3/12 - 155*b**2/2 - 62*b + 70. Find c, given that g(c) = 0.
-1, 2, 155
Let c be ((-115)/(-15) - 7)*705. Let d = c - 