 l.
(g + 2)**2/6
Let o(v) be the first derivative of v**6/21 + 8*v**5/35 + 5*v**4/14 + 4*v**3/21 + 851. Factor o(t).
2*t**2*(t + 1)**2*(t + 2)/7
Suppose 2*z - 7*z + 15 = 0. Let l be 0*(-3 - -2) + z. Solve -14*o**5 + 10*o**2 + 8*o**3 + 5*o**4 - 15*o**4 - 4*o + 10*o**l = 0 for o.
-1, 0, 2/7, 1
Factor 2 + 1530*d - 2 - 280*d**2 - 4*d**3 - 6430*d + 0.
-4*d*(d + 35)**2
Let n(x) be the first derivative of 147*x**4/4 - 588*x**3 - 6*x**2 + 144*x - 101. Factor n(a).
3*(a - 12)*(7*a - 2)*(7*a + 2)
Determine u so that 3/7*u**5 - 9/7*u**2 + 9/7*u**4 + 0 + 3/7*u**3 - 6/7*u = 0.
-2, -1, 0, 1
Factor -321*s + 2*s**3 + 45*s**2 + 177*s - 5*s**3 - 192.
-3*(s - 8)**2*(s + 1)
Let g(q) be the third derivative of -q**6/105 - 4*q**5/35 - q**4/4 - 5*q**3/21 + 88*q**2. Suppose g(r) = 0. What is r?
-5, -1/2
Let v(u) = -2*u**2 - 110*u - 585. Let i be v(-49). Suppose -1/2*b**2 - 5/2 - i*b = 0. Calculate b.
-5, -1
Let t = 7722 - 30887/4. What is y in -7/2*y + 49/4 + t*y**2 = 0?
7
Let s = 39 + -41. Let i be (4/10)/s + 329/245. Solve 2*l**2 + 4/7*l**3 + 8/7*l - i = 0 for l.
-2, 1/2
Let d(p) = -14*p**4 - 17*p**3 + 21*p**2 - 5*p - 5. Let m(i) = 16*i**4 + 18*i**3 - 22*i**2 + 6*i + 6. Let y(n) = -6*d(n) - 5*m(n). Find g, given that y(g) = 0.
-4, 0, 1
Let n(k) = -3*k. Let d(w) = w. Let r(j) = -7*d(j) - 2*n(j). Let l(y) = 4*y**2 + 14*y. Let x(f) = -l(f) - 6*r(f). Let x(q) = 0. Calculate q.
-2, 0
Suppose 5*m = 8*m + 2*n - 2, 1 = m + n. Let o(q) be the third derivative of 0 + 0*q + m*q**3 + 4*q**2 + 1/330*q**5 + 1/132*q**4. What is k in o(k) = 0?
-1, 0
Let g(w) = -w**5 + 4*w**4 + 16*w**3 - 22*w**2. Let f(b) = -b**4 + 2*b**3 - 2*b**2. Let h(s) = 3*f(s) - g(s). Let h(a) = 0. What is a?
-2, 0, 1, 8
Let a(u) be the second derivative of -u**9/2016 + 19*u**8/1120 - u**7/7 - 5*u**6/12 + 4*u**3 - 24*u. Let g(p) be the second derivative of a(p). Factor g(s).
-3*s**2*(s - 10)**2*(s + 1)/2
Let j(c) be the first derivative of -c**5/50 + c**4/20 + c**3/30 - c**2/10 - 70. Factor j(z).
-z*(z - 2)*(z - 1)*(z + 1)/10
Let q(x) be the first derivative of 752*x**4 - 5*x - 6 + 2678*x**4 - 12021*x**3 + 11041*x**3 + 105*x**2. Factor q(k).
5*(14*k - 1)**3
Let q(c) = 5*c**3 + 38*c**2 - 37*c - 6. Let w(u) = 9*u**3 + 76*u**2 - 74*u - 11. Let n(a) = -11*q(a) + 6*w(a). Factor n(g).
-g*(g - 37)*(g - 1)
Let p(g) = 45*g**3 + 91*g**2 + 11*g + 3. Let c(o) = 134*o**3 + 272*o**2 + 32*o + 8. Let m(x) = -3*c(x) + 8*p(x). Factor m(a).
-2*a*(a + 2)*(21*a + 2)
Let u(d) = 11*d**4 + 23*d**3 + 36*d**2 - 9*d. Let h(j) = -j**3 + j**2 - j. Let b(o) = -22*h(o) + 2*u(o). Factor b(x).
2*x*(x + 1)*(x + 2)*(11*x + 1)
Let v(m) be the third derivative of 0*m - 1/210*m**5 + 23*m**2 + 0 - 1/21*m**4 + 5/21*m**3. Factor v(g).
-2*(g - 1)*(g + 5)/7
Let 5*n**4 + 100*n + 18*n**4 - 92*n**3 + 47*n**3 - 80*n**2 + 5*n**5 - 3*n**4 = 0. Calculate n.
-5, -2, 0, 1, 2
Let w(t) be the second derivative of -11*t + 0*t**2 - 1/2*t**4 - 1/40*t**6 - 3/16*t**5 + 0 - 1/2*t**3. Factor w(n).
-3*n*(n + 1)*(n + 2)**2/4
Let d = -1/268 - -541/1340. Let g = -33 + 173/5. What is l in -2*l**3 + 0 + d*l**2 + g*l**4 + 0*l = 0?
0, 1/4, 1
Let x(p) be the second derivative of -p**7/49 + 8*p**6/35 - 36*p**5/35 + 17*p**4/7 - 23*p**3/7 + 18*p**2/7 - 165*p. Solve x(q) = 0 for q.
1, 2, 3
Let c be (20/420)/(5/22). Let y = c - 3/70. Factor 1/3 + y*i - 1/6*i**2.
-(i - 2)*(i + 1)/6
Let w(t) = t**2 - t + 2. Let g(s) = -s**2 - s. Let a be g(-2). Let v(y) = y**2. Let q(p) = a*w(p) + 4*v(p). Factor q(o).
2*(o - 1)*(o + 2)
Let m(l) = -l**2 - 8*l - 7. Let c be (-6)/(-8)*(8 + -16). Let g be m(c). Factor -10 - 5*d**2 + 3*d - 23*d + g*d.
-5*(d + 1)*(d + 2)
Let q = -10882/3 - -3628. Find n, given that q*n**2 - 2/3 + 2/9*n - 2/9*n**3 = 0.
-1, 1, 3
Let r(u) be the second derivative of -11 - 1/42*u**4 + 8/21*u**3 - u**2 + 2*u. What is h in r(h) = 0?
1, 7
Let f be 8/68 + (-525)/(-2040). Find k such that f*k + 3/8*k**2 + 0 = 0.
-1, 0
Let p(h) be the second derivative of -5/6*h**3 + 0 + 5/48*h**4 + 8*h + 5/2*h**2. Find l, given that p(l) = 0.
2
Let x(m) = 2*m**2 - 7*m - 18. Let q be x(-4). Factor -11 + 23 + 8*t**2 + q*t - 14*t + 12*t**2 + 4*t**3.
4*(t + 1)**2*(t + 3)
Let p(o) be the first derivative of -4*o**2 + 4/3*o**3 + 0*o - 17. Suppose p(a) = 0. What is a?
0, 2
Let b(m) be the first derivative of m**5/15 - m**4/2 - 4*m**3/3 + 28*m**2/3 + 32*m - 583. Factor b(p).
(p - 6)*(p - 4)*(p + 2)**2/3
Solve 0*o + 0*o**2 + 0 + 6/7*o**3 - 2/7*o**4 = 0.
0, 3
Suppose 4*c - 7*c - 3*u = 51, -4*u + 7 = -c. Let w = c - -20. Let -4*f**3 - 5*f**w + 2*f + 6*f**5 + f**5 = 0. Calculate f.
-1, 0, 1
Let f(u) = -2*u**4 - 16*u**3 + 46*u**2 - 12*u - 69. Let z(k) = 3*k**4 + 31*k**3 - 92*k**2 + 24*k + 139. Let t(v) = 5*f(v) + 3*z(v). Let t(q) = 0. Calculate q.
-1, 2, 6
Find d such that -3/4*d + 3/2*d**2 - 3/4*d**4 - 3/4*d**5 - 3/4 + 3/2*d**3 = 0.
-1, 1
What is o in -61/2*o**3 + 66*o**2 - 3/2*o**5 - 16*o**4 + 0 - 18*o = 0?
-6, 0, 1/3, 1
Suppose -5*i - 18 = -2*v, -i - v - 9 = i. Let p be (-12)/i*(3/(-5))/(-3). Factor 0*s - 6/5*s**3 + 0 + 3/5*s**2 + p*s**4.
3*s**2*(s - 1)**2/5
Let n(o) be the first derivative of 0*o**4 - 1/20*o**2 + 1/60*o**6 + 1/25*o**5 + 0*o + 8 - 1/15*o**3. Solve n(w) = 0 for w.
-1, 0, 1
Let m be 5/20 + (-19)/(-4). Suppose 0 = m*w - 12 - 3. Factor -18*p**3 + 72*p + 98*p**2 + 93*p**w + 13 - 1 + 37*p**2.
3*(p + 1)*(5*p + 2)**2
Factor -228/11*x**3 + 988/11*x + 1366/11*x**2 + 169/11 + 9/11*x**4.
(x - 13)**2*(3*x + 1)**2/11
Suppose 3*o + 10 = 8*o. Let y = o + 2. Find h such that -4*h - y*h**5 + 8*h**3 + 242*h**4 - 242*h**4 = 0.
-1, 0, 1
Let m(c) be the third derivative of -2/105*c**6 + 1/35*c**5 + 0*c + 2/21*c**4 + 2/735*c**7 + 0 - 8/21*c**3 + 4*c**2. Factor m(a).
4*(a - 2)**2*(a - 1)*(a + 1)/7
Let h(y) be the second derivative of y**5/10 + 2*y**4 + 76*y. Factor h(j).
2*j**2*(j + 12)
Let u(g) be the third derivative of g**7/21420 + g**6/3060 - g**5/340 + 7*g**4/24 - 27*g**2. Let d(t) be the second derivative of u(t). Let d(a) = 0. What is a?
-3, 1
Let a(i) be the first derivative of -5*i + 0*i**2 + 0*i**3 + 1/30*i**5 + 1/27*i**4 - 6 + 1/135*i**6. Let v(b) be the first derivative of a(b). Factor v(q).
2*q**2*(q + 1)*(q + 2)/9
Let -4*t**2 - 8*t**3 + 2 - 3*t - 6 + 14*t**3 - 11*t = 0. What is t?
-1, -1/3, 2
Suppose 0 = 4*x + 2*x - 36. Let r be -9*x/(-45) + -1. Factor -1/5*h**2 + 0 - 2/5*h + r*h**4 + 2/5*h**3.
h*(h - 1)*(h + 1)*(h + 2)/5
Let o(i) be the first derivative of -4*i**3 - 3 - 3/10*i**5 + 0*i + 15/8*i**4 + 3*i**2. Factor o(u).
-3*u*(u - 2)**2*(u - 1)/2
Suppose 57 = 19*c - 19. Solve -j - j**c + 2/3*j**2 + 1/3 + 2/3*j**3 + 1/3*j**5 = 0 for j.
-1, 1
Let m = -60 + 108. Suppose 5*z = z + m. Let 3/2*d**5 + 3/2*d**4 - 15/2*d**3 - 6 - 3/2*d**2 + z*d = 0. Calculate d.
-2, 1
Let a(v) be the second derivative of 1024*v**2 + 729/5*v**5 + 1152*v**3 + 0 + 648*v**4 + 8*v. Factor a(h).
4*(9*h + 8)**3
Let j(r) = r**2 - r - 1. Let l(f) = -3*f**2 + 3*f + 2. Suppose 5*a - 4*a = 2*b + 7, 2*a - 6 = 0. Let x(i) = b*j(i) - l(i). Find d such that x(d) = 0.
0, 1
Let q(v) be the first derivative of -36 + 0*v + 0*v**4 - 2/13*v**3 + 2/65*v**5 + 2/13*v**2. Factor q(c).
2*c*(c - 1)**2*(c + 2)/13
Suppose -3/11*j - 28/11 + 1/11*j**2 = 0. Calculate j.
-4, 7
Find n such that 14*n**4 - 10*n**4 - 6*n**4 + n**4 = 0.
0
Suppose 18*a = 17*a + 18. Let c be 20/a - (112/(-18) - -6). Find p, given that c*p**4 + 28/3*p**2 - 20/3*p**3 + 0 - 4*p = 0.
0, 1, 3
Let h(j) = -2*j. Let w(c) = 3*c**3 + c**2 - 10*c. Let g(d) = 12*h(d) - 3*w(d). Factor g(a).
-3*a*(a + 1)*(3*a - 2)
Factor -38/11*i**2 + 0 + 2/11*i.
-2*i*(19*i - 1)/11
Let y(z) be the second derivative of -z**4/4 + 7*z**3 - 36*z**2 + 137*z. Let y(s) = 0. Calculate s.
2, 12
Let r(g) be the third derivative of -g**8/2856 - 9*g**7/595 - 23*g**6/170 + 293*g**5/255 - 215*g**4/68 + 75*g**3/17 - 51*g**2 - 2*g. Factor r(l).
-2*(l - 1)**3*(l + 15)**2/17
Suppose -g = 2*b - 7, 4*g + 32 = 2*b + 10. Suppose -p - 2 = -i - 4*i, -i = b*p - 16. Factor -2/7*c**2 - 1/7*c**5 + 0*c**p + 2/7*c**4 + 1/7*c + 0.
-c*(c - 1)**3*(c + 1)/7
Let s = 5140 - 20557/4. Find i, given that 1/2*i**2 + 0*i + 0 - s*i**3 + 1/4*i**4 = 0.
0, 1, 2
Suppose 1 = 5*g - 5*t - 24, -t + 11 = 3*g. Find j, given that 7*j**3 + j**3 - 5*j + 3*j + 4*j**g - 6*j - 4 = 0.
-1, 1
Let s(m) be the third derivative of 2*m**5/11 - 7*m**4/132 - 2*m**3/33 + 123*m