*b**2 + 106/11*b = 0.
-54, 1
Let a be (-30)/20 + 11/2. Factor 20*g**2 - 16*g**3 - 76*g**4 + 0*g**2 - 8*g + 80*g**a.
4*g*(g - 2)*(g - 1)**2
Let i(b) be the second derivative of 13*b**4/72 + 7*b**3/6 - 10*b**2/3 + 1665*b. Factor i(t).
(t + 4)*(13*t - 10)/6
Let w(y) be the first derivative of -1/8*y**6 + 1/2*y**3 - 9/8*y**4 - 3/4*y**5 + 21/8*y**2 - 77 + 9/4*y. Solve w(v) = 0.
-3, -1, 1
Let h(d) = 23*d**2 - 4 - 6 - 26*d**2 - 8 + 16. Let s be (-40)/7 + (-6)/21. Let w(v) = v**3 - 2*v**2 + v - 3. Let j(i) = s*h(i) + 4*w(i). Factor j(q).
2*q*(q + 2)*(2*q + 1)
Let q(o) = 2*o**2 + 32*o - 64. Suppose 0 = 4*f - 8, -30*m + 33*m + 26 = f. Let j(n) = -n**2 - 10*n + 21. Let u(g) = m*j(g) - 3*q(g). Factor u(z).
2*(z - 6)*(z - 2)
Let q be ((1/(-2))/(5/(-5)))/((-5040)/(-5760)). Solve -q*u**3 + 0 + 0*u + 2/7*u**2 = 0.
0, 1/2
Let p(h) = 8*h**3 - 20*h**2 + 6*h. Let v(c) = -14*c**2 - 27*c**2 + 30*c**3 - 12*c**3 - c**3 + 11*c. Let u(s) = -13*p(s) + 6*v(s). Factor u(g).
-2*g*(g - 6)*(g - 1)
Let t = 23 - -6. Let l = t + -5. Factor 0 + 5*v**2 + l - 4 - 18*v - 2*v.
5*(v - 2)**2
Let h(p) be the second derivative of -p**6/40 - 9*p**5/16 - 63*p**4/16 - 85*p**3/8 - 27*p**2/2 - 146*p + 2. Let h(w) = 0. Calculate w.
-9, -4, -1
Factor 1007*d**2 - 418*d**2 + 846*d + 848 - 591*d**2.
-2*(d - 424)*(d + 1)
Let q = -355552 - -2488868/7. Determine n, given that 0 - 4*n - q*n**2 = 0.
-7, 0
Let n(l) be the first derivative of 4*l - 12/5*l**5 + 11/3*l**3 - 20 - 23/4*l**4 + 10*l**2. Determine v so that n(v) = 0.
-2, -2/3, -1/4, 1
Let y(w) be the first derivative of -w**3/3 + 67*w**2 + 3033. Let y(l) = 0. Calculate l.
0, 134
Let w be 120/240*(-918)/(-136)*(24/9)/2. Factor -v**2 + w - 3/4*v + 1/4*v**3.
(v - 3)**2*(v + 2)/4
Let y(j) be the second derivative of -13/15*j**3 - 1/150*j**5 + 46 + j + 28/15*j**2 + 2/15*j**4. Let y(m) = 0. What is m?
1, 4, 7
Let x(d) be the third derivative of -d**10/7560 + d**9/720 - d**8/210 + d**7/315 - d**5/12 - 57*d**2. Let v(l) be the third derivative of x(l). Factor v(a).
-4*a*(a - 2)**2*(5*a - 1)
Let g = 960697/15 + -64045. Factor g*i**2 - 32/15*i - 8/15 + 6/5*i**3.
2*(i - 1)*(i + 2)*(9*i + 2)/15
Let n(w) be the second derivative of w**6/6 + 7*w**5 + 225*w**4/2 + 810*w**3 + 3645*w**2/2 - 4439*w. Find u, given that n(u) = 0.
-9, -1
Let z(g) be the third derivative of 46/35*g**7 + 117/4*g**5 - 513/16*g**4 - g - 27/2*g**3 + 0 + 23*g**2 - 203/20*g**6. Factor z(x).
3*(2*x - 3)**3*(23*x + 2)/2
Let q = -3274 + 3306. Let l(n) be the second derivative of -1/6*n**4 + 0 + 4/3*n**3 + q*n - 4*n**2. Find m, given that l(m) = 0.
2
Let s(t) be the third derivative of t**7/252 + t**6/8 - 61*t**5/72 + 35*t**4/24 - t**2 - 1. Determine j, given that s(j) = 0.
-21, 0, 1, 2
Suppose -50*w + 193 = 43. Factor -8*s**2 + 3 - 7*s**2 + 3*s**2 - 4*s**w - 3.
-4*s**2*(s + 3)
Let l = -304/75 - -2428/525. Solve -l*f**2 + 80/7 + 32/7*f = 0 for f.
-2, 10
Let v(w) = 23758*w - 23756. Let y be v(1). Find g such that -51/7*g + 24/7 - 3/7*g**3 + 30/7*g**y = 0.
1, 8
Factor 32*c**2 - 76*c**2 + 2*c**4 - c**5 + 2*c**3 + 6*c**3 + 9*c + 26*c**2.
-c*(c - 3)*(c - 1)**2*(c + 3)
Let a(q) be the second derivative of q**4/18 - 71*q**3/36 - 95*q**2/12 + 25*q - 115. Factor a(f).
(f - 19)*(4*f + 5)/6
Let u(h) = -h**3 + 22*h**2 - 20*h - 18. Let v be u(21). Solve -2*q**3 - 23*q + 28*q - v*q**3 = 0 for q.
-1, 0, 1
Solve -38/7*u**3 - 32/7*u - 50/7*u**2 - 2*u**4 - 2/7*u**5 - 8/7 = 0.
-2, -1
Let k(d) = -29*d + 398. Let n be k(14). Let u be (-18 - n) + 8 - -2. Let 0*c + 2/7*c**4 + u - 8/7*c**3 + 0*c**2 = 0. What is c?
0, 4
Factor -2/17*i**2 - 5385762/17 - 6564/17*i.
-2*(i + 1641)**2/17
Let w(c) be the third derivative of 1/2*c**5 - 16/3*c**3 - 2*c**2 - 10 + 0*c + 7/6*c**4. Determine p, given that w(p) = 0.
-8/5, 2/3
Let j(f) be the third derivative of 0*f**3 + 1/945*f**7 + 81*f**2 + 0*f**4 + 4/135*f**5 + 1/60*f**6 + 0*f + 0. Let j(w) = 0. What is w?
-8, -1, 0
Let v(i) = -15*i - 148. Let p be v(-10). Suppose -6 = -4*f - 5*w - 1, -p*f = -4*w + 4. Determine u, given that 2/3*u**3 + 4/3 - 2*u + f*u**2 = 0.
-2, 1
Let f(o) be the first derivative of -2*o**5/35 - 389*o**4/14 - 4864*o**3 - 2342912*o**2/7 - 20971520*o/7 - 5239. Solve f(x) = 0.
-128, -5
Let o = 986 - 982. Let s(a) be the first derivative of -1/25*a**5 + 1/10*a**o - 1/5*a**2 + 0*a**3 + 1/5*a + 33. Find r, given that s(r) = 0.
-1, 1
Let m = 0 + -1. Let g be 14/4 - m/(-2). Factor 1020*x - 1020*x - g*x**3 + 3*x**2.
-3*x**2*(x - 1)
Find u, given that 92*u + 9*u**2 + 11*u - 180*u + 148*u - u**3 + 149*u = 0.
-11, 0, 20
Suppose -478 - 400*g**3 - 45*g + 532 + 403*g**3 - 12*g**2 = 0. What is g?
-3, 1, 6
Let l(d) be the first derivative of -56 + 1/12*d**4 - 7/9*d**3 + 11/6*d**2 - 5/3*d. Factor l(o).
(o - 5)*(o - 1)**2/3
Let y(d) = -3*d**4 - 19*d**2 - 17*d + 5. Let c(l) = -l**4 - 31*l**2 + 30*l**2 - 16 + 17 - l. Let b(k) = -5*c(k) + y(k). Factor b(o).
2*o*(o - 3)*(o + 1)*(o + 2)
Factor 571*x + 35*x**3 - 6873 + 5793 + 1905*x**2 + 219*x.
5*(x + 1)*(x + 54)*(7*x - 4)
Factor -536/7*t + 2208/7 - 4/7*t**2.
-4*(t - 4)*(t + 138)/7
Solve 4*t**5 - 64*t**4 + 132*t**3 - 800 - 110*t**3 - 1180*t - 32*t**2 + 258*t**3 = 0 for t.
-1, 5, 8
Suppose 2*u = 6, -l - u = 277 - 283. Solve 6*a**2 + 0*a + 0 + 2/3*a**l = 0.
-9, 0
Let w(a) be the second derivative of 1/20*a**5 - 2/3*a**3 + 4*a**2 - 1/6*a**4 + a + 75. Find u, given that w(u) = 0.
-2, 2
Let o = 84 - 84. Suppose -611 = -3*c + 5*k, 0 = 2*c - o*c + 2*k - 402. Find x such that -c*x**2 - 5*x + 201*x**2 + x = 0.
-4, 0
Let p(y) be the first derivative of y**6/24 - 9*y**5/10 + 33*y**4/16 - 4*y**3/3 - 941. Factor p(k).
k**2*(k - 16)*(k - 1)**2/4
Let s = -73 - -103. Factor 5 - 27*p**3 - p**4 + s*p**3 - 5.
-p**3*(p - 3)
Suppose 0 = 22*z - 128 + 40. Suppose -z*p**3 + 14*p**3 + 12*p**2 - 24*p - 12*p**3 + 16 = 0. Calculate p.
2
Let n(v) be the second derivative of -17*v**4/60 - 54*v**3/5 - 19*v**2/10 - 2649*v. What is i in n(i) = 0?
-19, -1/17
Suppose 16 = 5*n - u, 2 = -5*u + 3*u. Suppose -3*f = -4*s - 19, f = -4*s - 16 + 1. Find d, given that 4 - 7 - 5*d**2 - 8*d - d**n - f = 0.
-2, -1
Let r(b) be the first derivative of 5*b**6/12 + 7*b**5 - 155*b**4/8 + 40*b**3/3 + 1516. What is g in r(g) = 0?
-16, 0, 1
Let g(s) be the third derivative of -s**6/24 + 551*s**5/12 + 6*s**2 - 220*s. Factor g(t).
-5*t**2*(t - 551)
Suppose h + l = 21, 2*l + 44 = 4*h - 2*l. Solve 17*q**2 - 28 + h*q**2 + 32*q**2 + 3*q**4 - 17 - 96*q + 41*q**2 - 32*q**3 = 0 for q.
-1/3, 3, 5
Suppose 0*h + h + 5 = -3*x, x = -h + 3. Let n be -2*3/(-21)*h. Find u such that -4*u**n + u**2 + 4*u + 4*u**2 + 0*u**2 - 5 = 0.
-5, 1
Let j(i) = -i**3 - 2*i**2 - 2*i - 1. Let x(b) = -85*b**4 + 147*b**3 - 11*b**2 - 16*b + 7. Let n(t) = 7*j(t) + x(t). Determine m so that n(m) = 0.
-6/17, 0, 1
Let d(r) be the first derivative of -9/2*r**2 + 6*r - 20*r**3 - 1 + 63/4*r**4. Factor d(v).
3*(v - 1)*(3*v + 1)*(7*v - 2)
Let c(y) = 4*y**2 - y - 5. Let j be c(-4). Factor -4*t**2 - 78*t - 981 + j*t - 105*t + 81.
-4*(t + 15)**2
Suppose 2915*v = 2911*v. Let w(n) be the first derivative of 3/4*n**4 - 3/2*n**2 - 4 + v*n**3 + 3/2*n - 3/10*n**5. Find b, given that w(b) = 0.
-1, 1
Let l(o) be the third derivative of 5*o**8/336 - 17*o**7/42 + 5*o**6/4 - 6*o**2 + 22*o. Factor l(k).
5*k**3*(k - 15)*(k - 2)
Let b(n) be the first derivative of -21/2*n**4 + 185 - 8*n**3 + 45/2*n**2 + 0*n + 24/5*n**5 - 1/2*n**6. Determine z, given that b(z) = 0.
-1, 0, 1, 3, 5
Let y(z) be the second derivative of z**6/180 - z**4/18 - 2781*z. What is s in y(s) = 0?
-2, 0, 2
Let k(m) = -11*m**2 + 615*m + 1202. Let y(x) = -3*x**2 + 2*x - 2. Let j(z) = -k(z) + 4*y(z). Suppose j(q) = 0. What is q?
-605, -2
Let w(b) be the third derivative of b**5/210 - 1420*b**4/21 + 8065600*b**3/21 + 7953*b**2. Factor w(q).
2*(q - 2840)**2/7
Factor 112*x**3 + 55*x**2 - 432*x + 125*x**2 - 247*x**3 + 192 + 114*x**3.
-3*(x - 4)**2*(7*x - 4)
Let w(h) be the third derivative of h**7/70 - h**6/10 - 12*h**5/5 - 14*h**4 - 40*h**3 + 1178*h**2. Find s such that w(s) = 0.
-2, 10
Let h(n) = 11*n**2 + 9*n - 2. Suppose 4*w - 4*p + 2*p + 10 = 0, 2*w - 7 = -3*p. Let o(z) = z**2 - 1. Let j = 3 - -2. Let x(k) = j*o(k) + w*h(k). Factor x(a).
-3*(a + 1)*(2*a + 1)
Let u = 333 + -328. Find b, given that b**3 + 1128*b**4 + 3*b**u - 1132*b**4 + 0*b**5 = 0.
0, 1/3, 1
Let o(v) = -45*v**2 