*j**3 + 0 - i*j**2.
j**2*(j - 1)*(j + 1)/3
Let g(r) = r**2 + 3*r + 1. Let w(a) = -800*a - 1595. Let t(o) = -5*g(o) - w(o). Factor t(q).
-5*(q - 159)*(q + 2)
Let m(d) = 7*d**2 + 3*d + 2. Let g be m(-2). What is j in 6*j**4 - 2*j**3 - g*j**5 - 18*j**5 + 38*j**5 = 0?
0, 1/2, 1
Solve 648 - 976/3*i + 2/3*i**2 = 0.
2, 486
Factor 2/7*f**2 + 60/7*f + 58/7.
2*(f + 1)*(f + 29)/7
Let f(c) be the first derivative of -2*c**3/51 + 161*c**2/17 - 836. Suppose f(j) = 0. Calculate j.
0, 161
Let n(l) = -l**2 - 1. Let i(m) = -59*m + 966. Let q(x) = -58*x + 968. Let p(b) = 4*i(b) - 3*q(b). Let o(y) = n(y) - p(y). Factor o(w).
-(w - 31)**2
Let j be (1420/(-90) + 22)/((-21)/(-18)). Let 4/3*h**4 + 5/3*h**3 - 4/3*h - 1/3*h**5 - 20/3*h**2 + j = 0. Calculate h.
-2, -1, 1, 2, 4
Suppose 321 = 13*s - 95. Suppose 168 = s*n + 8. Let 2/3*a + 4/3*a**2 + 160/3*a**n - 112/3*a**4 + 0 - 18*a**3 = 0. What is a?
-1/4, 0, 1/5, 1
Let a(o) = o**2 - 35*o + 264. Let n be a(11). Let c(v) be the second derivative of 0*v**2 + 0 + 1/4*v**4 + n*v**3 + 23*v. Factor c(u).
3*u**2
Let j(y) be the second derivative of y**7/441 - y**6/15 - 7*y**5/30 + 65*y**4/126 + 32*y**3/21 - 92*y**2/21 - 329*y. Find s, given that j(s) = 0.
-2, 1, 23
Let x = -5451 + 27256/5. Let y(s) be the third derivative of 0 - 8/3*s**3 + x*s**5 - 1/30*s**6 + 0*s**4 + 18*s**2 + 0*s. Factor y(u).
-4*(u - 2)**2*(u + 1)
Let m(y) be the first derivative of y**5/15 - 2*y**4 + 24*y**3 - y**2/2 - 13*y + 124. Let u(v) be the second derivative of m(v). Solve u(b) = 0 for b.
6
Factor -6*n**4 - 398678*n - 1230*n**3 + 3*n**4 + 398678*n.
-3*n**3*(n + 410)
Let u(n) be the second derivative of 7*n**5/20 - 79*n**4/8 + 11*n**3 - 46*n**2 - 3*n + 9. Let w(d) be the first derivative of u(d). Factor w(t).
3*(t - 11)*(7*t - 2)
Let h(t) be the second derivative of 103*t + 0 + 0*t**3 + 0*t**2 + 5/6*t**4 + 1/4*t**5. Let h(i) = 0. What is i?
-2, 0
Let m(y) be the third derivative of -4*y**7/1365 + y**6/156 + 8*y**5/65 + y**4/39 - 80*y**3/39 + 2221*y**2. Let m(d) = 0. What is d?
-2, 5/4, 4
Suppose -3*v + 2*s = 0, -4*v - 1 = -8*s + 5*s. Suppose -v*f - 2*f = -n + 10, 3*n + 5*f = -4. Solve -4/11 + 3/11*m**n - 2/11*m**3 - 1/11*m**4 + 4/11*m = 0 for m.
-2, 1
Let t(n) be the second derivative of 0*n**3 - 19/78*n**4 - 8*n + 0 + 1/130*n**5 + 0*n**2. Factor t(m).
2*m**2*(m - 19)/13
Factor 391*p + 306 + 3*p**4 + 525*p + 8*p**4 + 912*p**2 - 126*p**3 + 426*p**3 - 13*p**4.
-2*(p - 153)*(p + 1)**3
Determine c, given that -6*c**3 - 2*c**3 + 120*c**2 + 753 - 415*c + 3*c**3 - 453 = 0.
1, 3, 20
Let g(c) be the third derivative of c**8/112 - 29*c**7/70 - 61*c**6/40 - 31*c**5/20 + 878*c**2. Factor g(q).
3*q**2*(q - 31)*(q + 1)**2
Let n = -47 + 55. Factor -n*s**4 - 7 - 44*s**3 - 189*s**2 + 149*s**2 + 7 + 32*s.
-4*s*(s + 2)*(s + 4)*(2*s - 1)
Let o = 2915149/4 - 728787. Find q, given that 5/2*q - 11/4 + o*q**2 = 0.
-11, 1
Let b(y) be the third derivative of 0*y**3 - 1/35*y**7 - 1/6*y**4 + 0 + 1/60*y**6 + 48*y + 1/10*y**5 - y**2 + 1/168*y**8. Factor b(z).
2*z*(z - 2)*(z - 1)**2*(z + 1)
Let c = 588 - 584. Factor 646*n**2 - c*n**4 - 17*n**4 - 622*n**2 + 21*n**3 + 9*n**3.
-3*n**2*(n - 2)*(7*n + 4)
Let c(w) be the first derivative of 2744*w**6/5 + 588*w**5/5 + 21*w**4/2 + w**3/2 + w**2 + 37*w - 178. Let y(j) be the second derivative of c(j). Factor y(t).
3*(28*t + 1)**3
Factor -4*b**3 + 20218 + 2412*b + 1473*b**2 - 19010 - 273*b**2.
-4*(b - 302)*(b + 1)**2
Let v(f) = -47511*f - 142533. Let r be v(-3). Factor 0 + 0*q - 8/5*q**2 - 2/5*q**5 + 6/5*q**4 + r*q**3.
-2*q**2*(q - 2)**2*(q + 1)/5
Let t(p) = -p**4 + 2*p**3 + p**2 - 3. Let a(o) = -2*o**4 - 30*o**3 + 68*o**2 - 34*o - 3. Let z(n) = a(n) - t(n). Suppose z(s) = 0. Calculate s.
-34, 0, 1
Let f(j) be the second derivative of 0*j**2 - 1/9*j**3 - 1/6*j**4 - 1/24*j**5 + 0 - 48*j. Factor f(g).
-g*(g + 2)*(5*g + 2)/6
Let -262/5*b**2 - 2/5*b**4 - 92/5*b**3 - 172/5*b + 0 = 0. Calculate b.
-43, -2, -1, 0
Let t(b) be the first derivative of 30 - 2*b - 3*b**2 - 13/6*b**3 - 1/10*b**5 - 3/4*b**4. Factor t(c).
-(c + 1)**2*(c + 2)**2/2
Let x(d) be the first derivative of -d**4 - 64*d**3 - 90*d**2 + 376*d + 4429. Factor x(q).
-4*(q - 1)*(q + 2)*(q + 47)
Suppose 195*t - 1020 = 150. Let r(b) be the first derivative of 0*b**2 + 6 - 3/10*b**4 + 0*b**5 + 0*b + 1/15*b**t + 4/15*b**3. Let r(l) = 0. Calculate l.
-2, 0, 1
Suppose 4*j - 361 + 393 = 0, -14*j - 109 = l. Factor -1/3*o**4 + 1/3*o**2 + 0*o + 0 + 1/3*o**l - 1/3*o**5.
-o**2*(o - 1)*(o + 1)**2/3
Let i(c) be the first derivative of 5*c**6/6 + c**5 - 15*c**4 + 20*c**3/3 + 40*c**2 + 1559. Determine g, given that i(g) = 0.
-4, -1, 0, 2
Let k = 88 + -53. Suppose n = -4*r + k, 5*r - 5*n + 6*n = 45. Factor 44*g**2 + 10*g**3 + 0*g**4 - 30*g**2 - 20*g**2 - 2*g**4 - r*g + 8.
-2*(g - 4)*(g - 1)**2*(g + 1)
What is h in -135/2*h**2 - 125*h - 30 + 35/4*h**4 + 45/4*h**3 = 0?
-2, -2/7, 3
Let n(s) = -60*s**2 - 1860*s + 3. Let m be n(-31). Let q(o) be the first derivative of -2 - 2*o - 2/9*o**m + 4/3*o**2. Suppose q(d) = 0. Calculate d.
1, 3
Let w(l) be the second derivative of 1 - 27/2*l**2 - 3/2*l**3 - 3/20*l**5 - 2*l + 5/4*l**4. Let w(r) = 0. Calculate r.
-1, 3
Let g(c) = -3*c**3 + 3*c**2 - 8*c - 9. Let b be g(-1). Let j be (-1)/b - ((-104)/20 + 0). Factor 2*w**4 + 0*w - 2/7*w**j - 32/7*w**2 - 16/7*w**3 + 0.
-2*w**2*(w - 4)**2*(w + 1)/7
Let h(o) be the second derivative of -o**9/9072 - 13*o**8/20160 - o**7/1260 + 4*o**4/3 + 35*o - 1. Let m(z) be the third derivative of h(z). Factor m(j).
-j**2*(j + 2)*(5*j + 3)/3
Let n = 36 - 52. Let q be (n/3 - -6)*(-42)/(-4). Let -20*t - 44*t**2 - 8 + q*t**3 + 60*t**2 + 5*t**3 = 0. What is t?
-2, -1/3, 1
Suppose -20 + 80 = 3*i. Determine v so that -8*v**4 - 4*v**5 - 8*v**4 + i*v**4 = 0.
0, 1
Factor -4/19 + 72/19*y**2 - 142/19*y.
2*(y - 2)*(36*y + 1)/19
Let m = -7 - -9. Suppose -3*o + 11 = -2*o + i, m*o - 4*i = 28. Determine t, given that -61 + 61 + 9*t - o*t**2 = 0.
0, 3/4
Factor 187 - 3*g - 1/4*g**2.
-(g - 22)*(g + 34)/4
Let v(g) = g**3 + g**2 - g - 1. Let x(j) = 3*j**3 - 341*j**2 + 337*j + 1. Let a(b) = -v(b) - x(b). Factor a(t).
-4*t*(t - 84)*(t - 1)
Let z(g) = 4*g**2 + 13*g - 6. Let a be z(-4). Let -a*n - 10*n - 4*n**3 + 24*n**2 - 4*n = 0. What is n?
0, 1, 5
Let -1/5*o**3 - 12*o**2 - 108/5*o + 464/5 = 0. What is o?
-58, -4, 2
Let i(s) be the first derivative of 12*s**5/35 - 13*s**4/14 - 8*s**3/3 + 41*s**2/7 - 12*s/7 - 375. Determine r, given that i(r) = 0.
-2, 1/6, 1, 3
Let s = 32457/216463 + 65/16651. Find w, given that 8/13*w + 0 - s*w**2 = 0.
0, 4
Suppose -6*d**4 + 4*d**4 - 716*d**2 + 6*d**4 + 1232*d - 808*d**2 + 288*d**3 = 0. Calculate d.
-77, 0, 1, 4
Let q(n) = n**3 - 2*n**3 - 6*n - 23*n**2 + 30*n**2. Let j be q(6). Solve 0*m**2 + j*m**2 - m**2 + 4*m**2 + 12 + 12*m = 0.
-2
Let o(m) be the first derivative of 0*m + 2/3*m**3 + 41 - 2*m**2 + 1/2*m**4. Determine c so that o(c) = 0.
-2, 0, 1
Let y(a) be the third derivative of a**8/420 + 11*a**7/175 + 139*a**6/300 - 7*a**5/75 - 24*a**4/5 + 128*a**3/15 - 8*a**2 - 55*a. Find x, given that y(x) = 0.
-8, -2, 1/2, 1
Let k = 92025/4 + -23006. Factor -1/4*f - k*f**2 + 1/2.
-(f - 1)*(f + 2)/4
What is w in 30*w**2 + 151*w**4 - 75*w**4 - 15*w**3 - 63*w**4 + 9*w**5 - 3*w**5 - 54*w**2 + 20*w = 0?
-2, 0, 5/6, 1
Let t be 2*(6 - 8) + 1284. Suppose 185*b - t*b**5 + 960*b**3 + 640*b**4 - 17 + 2 - 917*b**2 + 157*b**2 = 0. Calculate b.
-1, 1/4, 3/4
Let i = -15572 - -46720/3. Let s(w) be the second derivative of 0*w**2 + 1/5*w**5 + w**4 + i*w**3 + 24*w + 0. Factor s(d).
4*d*(d + 1)*(d + 2)
Let x be (-72)/(-42)*154/33. Let r(s) be the first derivative of 10/3*s - x - 5/2*s**2 + 5/9*s**3. Solve r(z) = 0.
1, 2
Suppose -432/5 + 3312/5*q**3 + 72/5*q**2 - 63/5*q**5 - 951/5*q**4 - 912*q = 0. What is q?
-18, -1, -2/21, 2
Let v(d) be the first derivative of -d**5/25 + 1793*d**4/20 - 357006*d**3/5 + 21277438*d**2 + 213847192*d/5 + 5089. What is p in v(p) = 0?
-1, 598
Let g(h) be the second derivative of -10*h + 1/24*h**4 - 3*h**2 - 2/3*h**3 + 8 + 1/40*h**5. Factor g(l).
(l - 3)*(l + 2)**2/2
Let p(w) be the third derivative of w**6/240 - w**5/24 - 2*w**4/3 - 3*w**3 - 737*w**2. Factor p(b).
(b - 9)*(b + 2)**2/2
Let v = -249752 + 249755. Factor 1/2*t**v + 10*t**2 + 50*t + 0.
t*(t + 10)**2/2
Let t(l) be the second derivative of -l**7/2 - 51*l**6/10 - 