**h - 4*g + 2*g**3 - 8 + g**3 - 4*g**4 + 3*g**3 + 0*g**3 + 12*g**2.
-4*(g - 2)*(g - 1)*(g + 1)**2
Suppose -11*o - 53 = -12*o. Let c = o - 45. Factor -7*q**3 + 9 + 11*q**3 - c*q**2 + 4*q - 9.
4*q*(q - 1)**2
Let r = -9/113 + 497/565. Let j be 75/60 + (-3)/(-4). Solve r*h**5 - 8/5*h**4 + 4/5*h**3 + 0 + 0*h**j + 0*h = 0.
0, 1
Let k(p) be the third derivative of -p**6/240 + 3*p**5/40 + 5*p**4/24 - 1163*p**2. Determine r so that k(r) = 0.
-1, 0, 10
Solve 54*x + 290*x + 4*x**2 - 1759*x**3 - 4*x**4 + 139 + 8*x**2 + 85 + 1647*x**3 = 0 for x.
-28, -1, 2
Suppose 4774 = -21*u + 32*u. Let g = -3034/7 + u. Factor -2/7*a**2 + g*a + 0.
-2*a*(a - 2)/7
Let l(y) = 18*y**3 - 3967*y**2 + 493996*y - 246021. Let g(q) = 26*q**3 - 5951*q**2 + 740996*q - 369031. Let n(t) = 5*g(t) - 7*l(t). Factor n(o).
2*(o - 248)**2*(2*o - 1)
Let z(w) be the third derivative of 0 + 5/24*w**4 + 238*w**2 + 0*w - 1/60*w**5 + 0*w**3. Let z(c) = 0. Calculate c.
0, 5
Let h(i) be the second derivative of -1/8*i**3 + 0 - 1/2*i**2 - 48*i + 1/48*i**4. Factor h(c).
(c - 4)*(c + 1)/4
Suppose -3*c - 13 = -2*y, 2*y - 1 = 4*c + 15. Find p, given that -7*p**5 + 2*p**4 - 81*p**3 + y*p**5 - 8*p - 15*p**4 + 87*p**3 + 20*p**2 = 0.
-2, 0, 2/5, 1
Let c(h) be the first derivative of h**3/21 + 45*h**2/7 + 2025*h/7 + 1146. Factor c(y).
(y + 45)**2/7
Suppose 0 = -36*s + 29*s + 35. Suppose -s*c + 15 = -125. Factor -c*w**3 + 20*w**4 - 4*w**2 + 21*w**3 + 2*w**2 - 11*w**5.
-w**2*(w - 1)**2*(11*w + 2)
Let n(p) be the second derivative of -5*p**4/4 + 25*p**3/6 - 5*p**2 - 19*p - 87. Factor n(x).
-5*(x - 1)*(3*x - 2)
Let h = 623676 - 4365730/7. Factor -52/7 - 50/7*q + h*q**2.
2*(q - 26)*(q + 1)/7
Factor 8 + 12*m - 3*m**2 - 12*m + 4*m - m**2.
-4*(m - 2)*(m + 1)
Let z = 21158 + -21153. Let x(j) be the first derivative of 0*j**3 - 1/10*j**z - 13 + 1/8*j**4 + 0*j + 0*j**2. Solve x(q) = 0.
0, 1
Suppose 2*k - 6*g + g = 27, -5*k = -4*g - 59. Suppose -k = -4*y + 9. Factor -3*i**2 - 4*i + 4*i - 3*i**4 - y*i**3 + 11*i**3.
-3*i**2*(i - 1)**2
Suppose 41*n - 114 = -2*n - 28. Let h(v) be the first derivative of -2/25*v**5 - 12/5*v**n - 26/15*v**3 - 3/5*v**4 - 8/5*v + 27. Factor h(u).
-2*(u + 1)**2*(u + 2)**2/5
Let a = 11867 - 11865. Factor -8/19 + 0*n + 2/19*n**a.
2*(n - 2)*(n + 2)/19
Let q(u) = -3*u**3 - u**2 - 4*u - 1. Let r(d) = 16*d**3 + 641*d**2 + 100505*d - 203517. Let k(a) = 5*q(a) + r(a). Determine z so that k(z) = 0.
-319, 2
Let r = -86168 + 172345/2. Suppose -r*m**3 + 9/2*m + 15/4 - 3*m**2 - 3/4*m**4 = 0. Calculate m.
-5, -1, 1
Let o(m) be the second derivative of -1 + 2/35*m**5 + 21*m + 0*m**2 - 1/6*m**4 - 10/21*m**3 + 1/105*m**6. Factor o(l).
2*l*(l - 2)*(l + 1)*(l + 5)/7
Let n(o) be the first derivative of o**7/420 - 2*o**6/45 + 13*o**3 - 93. Let y(c) be the third derivative of n(c). Factor y(u).
2*u**2*(u - 8)
Suppose -2*c = 2, 3*t + 71 = -c + 5*c. Let l be (t - -35)*2/4. Determine n, given that -2*n**l - 3*n + 4*n - 3*n + 4*n**3 = 0.
-1, 0, 1
Let v be (-1*(-1)/(-7))/(162/(-126)). Let z(l) be the third derivative of -v*l**3 + 0 - 11*l**2 + 0*l + 1/135*l**5 - 5/108*l**4. Factor z(t).
2*(t - 3)*(2*t + 1)/9
Let p be (-428)/(-3) - (63/(-27) - -3). Factor -5*r**2 - 90*r - 204*r + p + 168 - 93*r + 82*r.
-5*(r - 1)*(r + 62)
Let u(i) be the first derivative of 2*i**5 + 2349*i**4/2 + 65468*i**3/15 + 20556*i**2/5 + 7472*i/5 + 1560. Suppose u(k) = 0. What is k?
-467, -2, -2/5
Let r(o) be the second derivative of -1/5*o**5 + 484*o**2 - 20/3*o**4 - 154/3*o**3 - 27 - 2*o. Solve r(j) = 0 for j.
-11, 2
Let j(l) be the second derivative of 2*l**6/5 + 59*l**5/5 + 26*l**4/3 - 472*l**3/3 - 304*l**2 - 2272*l. Solve j(z) = 0.
-19, -2, -2/3, 2
Let k(j) be the third derivative of 11*j**8/1176 - 6*j**7/245 - 11*j**6/70 + 2*j**5/21 + 37*j**4/28 + 18*j**3/7 - 57*j**2 - 9. Find i such that k(i) = 0.
-1, 18/11, 3
Suppose q - 18*a + 19 = -14*a, 3*q + 3*a - 3 = 0. Let i be (q/1 - -7)/3. Factor 196/3 + i*m**2 - 56/3*m.
4*(m - 7)**2/3
Let j(s) = -s. Let f(z) = -z - 2. Let p(n) = -f(n) + 2*j(n). Let i(x) = -4*x**2 + 42*x - 40. Let k(h) = -i(h) - 2*p(h). Let k(b) = 0. Calculate b.
1, 9
Let p(c) be the second derivative of -c**5/20 - c**4/3 - c**3/2 + c**2 - 11*c. Let z be p(-3). Factor z - y**5 - 6*y**3 + 4*y**2 - y + 4*y**4 + 3 - 5.
-y*(y - 1)**4
Let d(h) be the first derivative of 5/3*h**3 + 0*h**2 - 66 - 5*h. Let d(z) = 0. What is z?
-1, 1
Let u be (-1281)/142 + -82 + 91. Let g = 12487/426 - u. Find q, given that 74/3*q**4 + g*q**2 - 16/3*q - 14/3*q**5 + 0 - 44*q**3 = 0.
0, 2/7, 1, 2
Solve 244/5*q**2 - 4828/5*q + 31212/5 - 4/5*q**3 = 0.
17, 27
Let w(m) be the third derivative of -m**6/30 + 914*m**5/15 + 1831*m**4/6 + 1832*m**3/3 - 28*m**2 - 10*m + 2. Suppose w(q) = 0. Calculate q.
-1, 916
Suppose 26*m - 11862 + 2034 = 0. Let v = m + -375. Factor -3*q + 3/4*q**v - 3/4*q**4 + 0 + 3*q**2.
-3*q*(q - 2)*(q - 1)*(q + 2)/4
Factor -1287075/4*z - 1965/2*z**2 + 0 - 3/4*z**3.
-3*z*(z + 655)**2/4
Let l(g) = -3*g**3 - 4*g + 4. Let y be l(3). Let c = 122 + y. Suppose 0*n**2 + 33 - c - 4*n**3 - 4*n**2 = 0. What is n?
-1, 0
Let i = -88 + 313. Suppose 6*u = -213 + i. Suppose -2/5*h + 48/5*h**4 + 16/5*h**u - 18/5*h**5 - 44/5*h**3 + 0 = 0. What is h?
0, 1/3, 1
Suppose -10*w + 148 = 118. Let m(z) be the second derivative of 1/12*z**4 - 22*z + 1/20*z**5 + 0 - 1/6*z**w - 1/2*z**2. Factor m(s).
(s - 1)*(s + 1)**2
Let r(u) = 4554*u - 68310. Let b be r(15). Find k, given that 9/8*k**4 - 45/8*k**2 + 21/8*k**3 + b - 3/8*k**5 - 27/4*k = 0.
-2, -1, 0, 3
Suppose 17*u = 32*u - 240. Suppose -17*z + u = -18. Solve 2/5*m + 4/5*m**z + 0 + 2/5*m**3 = 0.
-1, 0
Let o(u) be the first derivative of 3*u**6/5 + 51*u**5/20 + 9*u**4/4 - u**3 + 76*u + 80. Let p(d) be the first derivative of o(d). Solve p(c) = 0 for c.
-2, -1, 0, 1/6
Let d(l) be the third derivative of 30 - 1/1020*l**6 + 2/51*l**3 + 2/255*l**5 + 2*l**2 - 5/204*l**4 + 0*l. Determine p so that d(p) = 0.
1, 2
Let b(x) be the third derivative of 0*x + 13/6*x**4 - 14/15*x**5 + 1/105*x**7 - 13/30*x**6 + 240*x**2 + 9*x**3 + 0. Factor b(q).
2*(q - 27)*(q - 1)*(q + 1)**2
Let r(h) be the third derivative of h**6/30 + 399*h**5/5 + 4406*h**2. Factor r(t).
4*t**2*(t + 1197)
What is s in 92/5*s**3 - 1008/5 + 4/5*s**5 - 1152/5*s - 284/5*s**2 + 44/5*s**4 = 0?
-7, -3, -2, 3
What is w in -328*w**2 + 477 - 131*w**3 - 27 - 201*w**3 - 259*w**4 - 64*w**5 + 915*w - 397*w**3 + 691*w**4 = 0?
-5/8, 2, 3
Let v(p) be the first derivative of -3*p**4/4 - 23*p**3 + 315*p**2 + 4439. Factor v(d).
-3*d*(d - 7)*(d + 30)
Let g(d) = 8*d**2 - 6*d + 8. Let o(i) be the second derivative of -7*i**4/12 + i**3 - 4*i**2 - 3*i - 2. Let n(b) = 6*g(b) + 7*o(b). Factor n(t).
-(t - 4)*(t - 2)
Let y = 151476/11 - 757347/55. Factor -2/5 + y*o + o**2.
(o + 1)*(5*o - 2)/5
Let p(h) be the second derivative of -h**4/12 - 3*h**3 - 17*h**2/2 - 25*h + 38. Let p(w) = 0. Calculate w.
-17, -1
Determine m so that -64771*m**3 - 36 - 155*m - 415*m + 60657*m**3 - 2728*m**2 = 0.
-3/11, -2/17
Suppose 7*c - 920 = -899. Factor 1/7*u**4 - 1/7*u**2 + 0 - 3/7*u**c + 1/7*u**5 + 2/7*u.
u*(u - 1)**2*(u + 1)*(u + 2)/7
Factor 10/3*p**3 - 16/3*p**2 + 0 - 8*p + 2/3*p**4.
2*p*(p - 2)*(p + 1)*(p + 6)/3
Suppose -1407842/9 + 1118/3*p**2 + 156054*p + 2/9*p**3 = 0. What is p?
-839, 1
Let c(w) = w**5 - w**2 - 3*w. Suppose 0 = 12*y + 9 + 3. Let m(a) = -35*a**5 + 140*a**4 - 980*a**3 + 30*a**2 + 90*a. Let v(x) = y*m(x) - 30*c(x). Factor v(s).
5*s**3*(s - 14)**2
Let h(u) = -2*u**2 - 64*u - 60. Let m be h(-31). Determine v so that 108*v**4 + 28*v**3 + 10*v + 60*v**m + 26*v - 104*v**4 = 0.
-3, -1, 0
Let n(h) = -7*h**2 + h + 8. Suppose 20*r = 13*r + 21. Let f(l) = -22*l**2 + 2*l + 24. Let p(g) = r*f(g) - 10*n(g). Factor p(y).
4*(y - 2)*(y + 1)
Suppose -125*h = -128*h + b, -4*b = -2*h - 20. Determine r so that -4/15*r**3 + 2/15*r**h - 2/15*r**4 + 0 + 4/15*r = 0.
-2, -1, 0, 1
Let n(x) be the first derivative of x**6/12 + 15*x**5/2 + 1363*x**4/8 - 609*x**3/2 - 1862*x**2 - 2166*x - 1007. Solve n(z) = 0.
-38, -1, 3
Factor 0 - 10/3*y**3 - 2/3*y**4 + 0*y**2 + 0*y.
-2*y**3*(y + 5)/3
Suppose 45*m - 26*m = 95. Let f(u) be the second derivative of -1/195*u**6 + 0*u**2 - 1/26*u**4 - 14*u + 0 - 2/65*u**m + 0*u**3. Factor f(t).
-2*t**2*(t + 1)*(t + 3)/13
Solve 72/5 + 26/5*r + 2/5*r**2 = 0 for r.
-9, -4
Let p = -2731371/4 + 6828