4 + 86*o**3 - 2025*o**2 + 1766*o + 3875. Let n(d) = r(d) - 3*s(d). Factor n(i).
-(i - 44)**2*(i - 2)*(i + 1)
Solve -2592/5 + 252/5*h + 4/5*h**2 = 0.
-72, 9
Let z = 17 + -15. Factor 12*d**z - 125*d - 2*d**2 + 0*d**2 + 5*d**2 - 90.
5*(d - 9)*(3*d + 2)
Suppose -8*j**2 - 55 + 151 + j**4 - 58*j**2 + 27*j**3 - 4*j**4 = 0. Calculate j.
-1, 2, 4
Let n = -3/62 - -37/124. Let z be 0*((-544)/(-48))/(-34). Find w, given that z + n*w**2 + 0*w = 0.
0
Let z(i) be the first derivative of 4/3*i**3 - 36*i - 16*i**2 - 21. Solve z(b) = 0.
-1, 9
Let g(f) = -f**2 - 472*f + 105107. Let w be g(165). Let 28/9 - 1/3*j - 1/9*j**w = 0. Calculate j.
-7, 4
Let x(l) be the second derivative of -l**6/480 + 3*l**5/40 - 9*l**4/8 + 9*l**3 - 35*l**2 + 2*l - 30. Let m(h) be the first derivative of x(h). Factor m(r).
-(r - 6)**3/4
Let z(p) be the second derivative of 8*p**6/15 - p**5 - 10*p**4/3 + 10*p**3/3 + 12*p**2 + 903*p. What is y in z(y) = 0?
-1, -3/4, 1, 2
Let p(k) = 15*k**2 + 31*k + 72. Let t be p(-10). Let y = t + -8816/7. Suppose -2/7*j**3 + 54/7 + y*j**2 - 54/7*j = 0. Calculate j.
3
Let z(c) = c**4 - 3*c**2 - c + 1. Let b(w) = 2*w**4 - 2*w**3 - 32*w**2 - 43*w + 1. Let f(p) = 2*b(p) - 2*z(p). Determine k so that f(k) = 0.
-3, -2, 0, 7
Let z be (-8 + 203/22 + -1)/(20/48). Let -28*u**3 - 772/11*u**2 - 18*u - z*u**5 + 162/11 + 98/11*u**4 = 0. Calculate u.
-1, 1/3, 9
Factor -1/2*v**2 - 217/2*v - 108.
-(v + 1)*(v + 216)/2
Let b(m) be the first derivative of -m**3/5 + 339*m**2/10 + 138*m - 2096. Suppose b(i) = 0. What is i?
-2, 115
Find p such that 1565*p**4 + 6040*p**2 + 20*p**5 - 673656*p**3 - 4211 - 3394 - 30810*p + 704446*p**3 = 0.
-39, -1, -1/4, 1
Let w(f) be the second derivative of -f**5/10 + 14*f**4/3 - 49*f**3/3 - 78*f**2 + 1823*f. Factor w(l).
-2*(l - 26)*(l - 3)*(l + 1)
Let w be (-2 + (-4)/(-6))/(13 - 3535/273). Let b(p) = 5*p**2 + 29*p - 13. Let d = -7 - -13. Let x(v) = v**2 + 7*v - 3. Let l(o) = d*b(o) + w*x(o). Factor l(c).
4*c*(c - 2)
Let i = -406 - -420. Factor -120*o + 45*o**2 + i*o**3 + 4*o**3 - 23*o**3 + 80.
-5*(o - 4)**2*(o - 1)
Let v be 4 - 5 - 279/186*30/(-39). Suppose v*k**4 + 50/13*k + 36/13 - 6/13*k**2 - 18/13*k**3 = 0. What is k?
-1, 2, 9
Let n(x) be the first derivative of 235 + 61/8*x + 1/24*x**3 + 31/8*x**2. Let n(m) = 0. What is m?
-61, -1
Suppose 4/5*u**2 + 0 + 2/5*u**3 - 4/5*u**4 - 3/5*u + 1/5*u**5 = 0. What is u?
-1, 0, 1, 3
Suppose 755*l**4 - 80 + 707*l**4 - 121*l - 35*l - 15*l**3 - 1461*l**4 - 92*l**2 = 0. Calculate l.
-2, -1, 20
Factor -44/9*i**2 + 4/9*i**3 - 1012/9 - 1060/9*i.
4*(i - 23)*(i + 1)*(i + 11)/9
Let c = 29500 + -29497. Solve -c*u**2 + 3/2*u**5 + 3/2*u**4 - 3*u**3 + 3/2 + 3/2*u = 0 for u.
-1, 1
Let i(k) be the first derivative of -k**5/5 + 23*k**4/4 + 54*k**3 + 170*k**2 + 232*k + 655. Factor i(g).
-(g - 29)*(g + 2)**3
Factor -7964*c**3 + 22*c - 7977*c**3 - 13*c**2 + 15942*c**3.
c*(c - 11)*(c - 2)
Factor 9/4*g**2 - 243 + 513/4*g - 33/4*g**3 + 3/4*g**4.
3*(g - 9)*(g - 3)**2*(g + 4)/4
Let w(q) = -2*q**4 - 6*q. Let k(h) = 3*h**4 + 48*h**3 + 397*h**2 + 660*h + 304. Let n(u) = 3*k(u) + 3*w(u). Factor n(d).
3*(d + 1)**2*(d + 8)*(d + 38)
Let g(b) be the second derivative of b**5/50 + 79*b**4/10 + 4641*b**3/5 - 14161*b**2/5 + 1202*b. Let g(s) = 0. What is s?
-119, 1
Let w = 2481349/2067795 + 1/413559. Factor 0*z + 0*z**2 - 4/5*z**3 + 0 - w*z**4.
-2*z**3*(3*z + 2)/5
Let b(u) be the second derivative of -u**6/3 - 63*u**5/10 + 30*u**4 - 389*u - 3. Find w, given that b(w) = 0.
-15, 0, 12/5
Suppose -20*f = -7*f - 26. Factor -10*w - 39*w**2 - 24 + 23*w**f - 10*w + 20*w**2.
4*(w - 6)*(w + 1)
Let g(f) = 34*f**2 + 348*f - 210. Let c(s) = 72*s**2 + 695*s - 419. Let l(u) = -12*c(u) + 26*g(u). Find a, given that l(a) = 0.
-36, 3/5
Let v(a) = -a**2 + 112*a + 89. Let n(t) = 2*t**2 - 332*t - 268. Let h(m) = 4*n(m) + 11*v(m). Let h(y) = 0. What is y?
-31, -1
Suppose 3*z - 27 = -2*r, 0*r = r + 2*z - 16. Suppose -r = -q - 2*q - 3*g, 4*g = 3*q - 20. What is h in 0*h**2 + 0*h - 1/3*h**3 + 0 + 0*h**q + 1/3*h**5 = 0?
-1, 0, 1
Let c(t) be the third derivative of 0*t + 80*t**2 - 1 + 0*t**3 - 3/10*t**5 + 0*t**4 - 1/40*t**6 + 1/70*t**7. Factor c(l).
3*l**2*(l - 3)*(l + 2)
Suppose -v - h - 9 = -4*h, 0 = -3*v - 3*h + 21. Suppose v*f**2 - 796 - 27*f - 780 + 1618 = 0. Calculate f.
2, 7
Suppose 3*h - 3*y = 1212, 0 = 2*h + h + y - 1196. Let c = h - 773/2. Factor -3/2*j**2 - 9*j - c.
-3*(j + 3)**2/2
Suppose 0 = 2*k - 10, 12 = z + 2*k - 1. Suppose 2*x - 3*g - 348 = 0, 0 = -4*x - 5*g + 30 + 666. Factor -81*t**3 + 2*t**4 - 6*t**2 + 8 + x*t**3 - 89*t**z - 8*t.
2*(t - 1)**2*(t + 2)**2
What is k in -7*k**3 + 233*k + 12*k**3 + 11*k**3 - 18*k**4 - 2*k**5 + 378*k**2 + 18*k**3 - 625*k = 0?
-7, 0, 1, 4
Suppose 6*b - 2*b = 0. Let i(k) = -k**2 + 2*k + 2. Let j be i(b). Factor 15*s**3 + j*s + 17 - 25*s**2 + 3*s - 12.
5*(s - 1)**2*(3*s + 1)
Let p be (5*-1)/(7/((-938)/2680)). Factor -p*t**2 - 51/4 - 5*t.
-(t + 3)*(t + 17)/4
Suppose -67/6*d**2 - 2/3 - 14/3*d**4 + 67/4*d**3 - 7*d = 0. What is d?
-2/7, -1/8, 2
Let f(t) be the third derivative of -1/210*t**5 + 0 + 0*t - 205*t**2 - 1/3*t**4 - 9/7*t**3. Let f(r) = 0. Calculate r.
-27, -1
Let x(w) = w + 24. Let l be x(-9). Suppose -4*i - 7 = -l. Factor 5*f - 7*f - 11 - 12*f**i + 2*f**3 + 23.
2*(f - 6)*(f - 1)*(f + 1)
Let p(k) be the second derivative of 175*k**4/2 - 5*k**3/6 - 5*k**2 - k - 1. Factor p(g).
5*(10*g - 1)*(21*g + 2)
Let n(c) be the third derivative of -c**6/30 + 8*c**5/3 - 62*c**4 + 672*c**3 - 56*c**2 - 7. Let n(o) = 0. What is o?
6, 28
Let p(u) be the second derivative of -u**4/54 + 73*u**3/27 + 74*u**2/9 - 389*u. Let p(j) = 0. Calculate j.
-1, 74
Suppose 0 = -45*r + 44*r + 2. Let l be (105/36)/(-7)*(-84)/140. Factor -1/4 + 1/4*y**3 + l*y**r - 1/4*y.
(y - 1)*(y + 1)**2/4
Suppose 15/2*v + 3/2*v**2 + 9 = 0. What is v?
-3, -2
Suppose 226875*v + 10896613 - 1650*v**2 - 10896613 + 3*v**3 = 0. Calculate v.
0, 275
Let d(z) = 29*z**3 + 526*z**2 + 85*z + 237. Let i be d(-18). Suppose -1/10*w**5 + 1/2*w**2 - 1/10*w**4 - 8/5*w + 9/10*w**i - 6/5 = 0. Calculate w.
-3, -1, 2
Let t(y) = -3*y**2 - 59*y - 36. Let g be t(-19). Factor 5*c**3 + 1426*c + 20*c**g - 1426*c + 5*c**5 - 5*c**4 - 25*c**3.
5*c**2*(c - 2)*(c - 1)*(c + 2)
Suppose -706*p + 729*p + 2415 = 0. Let c be (12 - p/(-5))*(-2)/24. Factor 3/4 - c*h**2 + 1/4*h - 1/4*h**3.
-(h - 1)*(h + 1)*(h + 3)/4
Let l(p) be the second derivative of p**7/147 + 13*p**6/105 + 31*p**5/70 - 15*p**4/14 - 9*p + 80. Find o such that l(o) = 0.
-9, -5, 0, 1
Suppose -14 = 4*h + 6*k, 5*h + 5*k + 17 = 3*h. Factor 7623/2*g**2 + 131/4*g**h + 1067/2*g**3 + 38599/4*g + 3/4*g**5 - 14641/4.
(g + 11)**4*(3*g - 1)/4
Suppose 272*i**2 - 148*i**2 + 22188*i - 4*i**3 + 134*i**2 + 636056 + 5*i**3 = 0. What is i?
-86
Let y(t) be the first derivative of -t**7/420 + t**6/240 + 23*t**2/2 + 28. Let h(u) be the second derivative of y(u). Factor h(d).
-d**3*(d - 1)/2
Let q(p) = -11*p**3 - 6*p**2 + 16*p - 9. Let y be q(1). Let l be (-4)/(((-8)/y)/(24/(-60))). Factor -3/2*h**3 + 2*h**l + 0 - 1/2*h**4 + 0*h.
-h**2*(h - 1)*(h + 4)/2
Suppose 2*c - 98*z = -99*z - 8, -15*z + 24 = -18*z. Find b such that 2/3*b**3 - 4 + c*b**2 - 14/3*b = 0.
-2, -1, 3
Let u(l) be the second derivative of -7/8*l**3 - 3*l - 3 - 5/16*l**4 + 9/2*l**2. Factor u(q).
-3*(q - 1)*(5*q + 12)/4
Suppose 16*f - 378 = 22*f. Let a be f*(6/2 + 111/(-7)). What is n in -a + 4*n**3 + 2525 + n**3 + 105*n**2 + 735*n = 0?
-7
Let d = -207 - -214. Let c be (2/4)/(2/d). Find n such that -1/2*n**2 + 1/2 + c*n - 7/4*n**3 = 0.
-1, -2/7, 1
Let z(d) = -29*d**3 + 49*d**2 - 208*d - 250. Let c(h) = 67*h**3 - 99*h**2 + 416*h + 498. Let m(b) = -3*c(b) - 7*z(b). Factor m(o).
2*(o - 16)*(o - 8)*(o + 1)
Suppose -157 = -l + 261. Let g = l - 416. Factor 0*u - 1/5*u**3 + 0*u**g + 0.
-u**3/5
Suppose -2*f + 5*q + 23 = 0, -f - 3*q + 2 = 7. Factor -283 - 5*w**f + 6*w**2 + 9*w**2 + 313 + 15*w**3 - 55*w.
-5*(w - 3)*(w - 1)**2*(w + 2)
Let u(l) = l**3 - l**2. Let j(o) = 4*o**2 - o**3 - 2*o**3 + 4*o**3 - o**4 - 4*o**4. Let q be (3*6/36)/(4/8). Let z(a) = q*j(a) - u(a). Factor z(c).
-5*c**2*(c - 1)*(c + 1)
Let f = 382458 - 382456. Solve -16/3*p + 92/3*p**f + 7*p**5 + 43/3*p**4 - 140/3*p**3 + 0 = 0 for p.
-4, 0, 2/7, 2/3, 1
Suppose -176*n + 8 = -179*n - 2*s, 4*n - 2*s = 8. Let c(l) be the first derivative of 