d v, given that -11/5*v**3 + 0 + 8/5*v + 2*v**2 - 7/5*v**4 = 0.
-2, -4/7, 0, 1
Suppose 5*q - 59 = 4*x - 41, 5*x = -5*q. Factor -3*w + 0 + 0*w**q + 3/4*w**3.
3*w*(w - 2)*(w + 2)/4
Let p(a) = a. Let v(n) = 2*n**2 + 6*n - 4. Let q be (-34)/9 - 8/36. Let s(i) = q*p(i) + v(i). Factor s(f).
2*(f - 1)*(f + 2)
Suppose -3*u = n - 8, 3*u = 5*u - 2*n - 8. Find z, given that -45*z**3 + 44*z**u - 9*z**4 + 8*z**4 = 0.
-1, 0
Find m, given that 71/4*m - 23/4*m**2 - 3/2 = 0.
2/23, 3
Suppose 6*u + 50 = 11*u. Factor u*p**2 + 3*p + 0*p**2 - 9*p**2.
p*(p + 3)
Let s(v) be the third derivative of -v**8/112 - 3*v**7/35 - 9*v**6/40 + v**5/5 + 3*v**4/2 + 744*v**2. Determine c so that s(c) = 0.
-3, -2, 0, 1
Let q(o) = 5*o**4 + 10*o**3 - o**2 + 6. Let u(j) = j**2 - 1. Let h(k) = k**3 + 5*k**2 + 5*k + 3. Let s be h(-4). Let w(t) = s*q(t) - 6*u(t). Factor w(a).
-5*a**2*(a + 1)**2
Let s(k) = 5*k**3 + 5*k**2 - 6*k. Let u = 18 + -14. Let z(i) = -5*i**3 - 5*i**2 + 7*i. Let d(t) = u*z(t) + 3*s(t). Suppose d(g) = 0. What is g?
-2, 0, 1
Let k(i) = 20*i**2 - 201*i + 12. Let f be k(10). Factor -10/13*m**f + 4/13*m**3 + 8/13*m - 2/13.
2*(m - 1)**2*(2*m - 1)/13
Let x(p) be the third derivative of 3/40*p**6 - 19/35*p**7 + 1/10*p**5 + 0*p**4 - 31*p**2 + 0*p + 0 + 33/112*p**8 + 0*p**3. Determine s, given that x(s) = 0.
-2/11, 0, 1/3, 1
Factor 8*n**2 + 13*n**4 + 2*n**3 - n**5 + 6*n**4 - 4*n**3 - 24*n**4.
-n**2*(n - 1)*(n + 2)*(n + 4)
Let a(h) = 110*h**3 + 220*h**2 + 155*h - 45. Let z(l) = 5*l**3 + 10*l**2 + 7*l - 2. Let y(x) = -2*a(x) + 45*z(x). Factor y(j).
5*j*(j + 1)**2
Let z(a) be the third derivative of 12*a**2 - 1/70*a**7 + 0*a + 3/40*a**6 - 1/20*a**5 + a**3 - 3/8*a**4 + 0. Let z(t) = 0. Calculate t.
-1, 1, 2
Factor -9/4*p**3 - 11/4*p + 1/4*p**4 + 0 - 21/4*p**2.
p*(p - 11)*(p + 1)**2/4
Solve 15*c**2 - c**5 - 47*c**4 + 15*c**3 - 12 + 2 - 12*c + 44*c**4 - 2*c**5 - 2 = 0 for c.
-2, -1, 1, 2
Factor -2/15*v**2 - 76832/15 - 784/15*v.
-2*(v + 196)**2/15
Let a(u) = 3*u**5 + 23*u**4 + 23*u**3 + 17*u**2 + 6*u + 4. Let i(w) = 7*w**5 + 46*w**4 + 47*w**3 + 33*w**2 + 11*w + 7. Let f(d) = 7*a(d) - 4*i(d). Factor f(c).
-c*(c + 1)**3*(7*c + 2)
Let f = -78739/290 + 543/2. Let b = 312/1595 + f. Determine a, given that b*a**5 + 4/11*a**4 - 2/11*a - 4/11*a**2 + 0*a**3 + 0 = 0.
-1, 0, 1
Let h(p) be the second derivative of p**7/1260 + p**6/90 - 3*p**4/4 + 4*p. Let j(i) be the third derivative of h(i). Let j(c) = 0. What is c?
-4, 0
Let h(g) be the first derivative of -g**4/28 + g**3 - 99*g**2/14 - 121*g/7 + 155. Factor h(n).
-(n - 11)**2*(n + 1)/7
Let y = -21851 + 43703/2. Let m = 39/2 + -19. Solve 0 - y*p**2 + 0*p + m*p**4 + 0*p**3 = 0 for p.
-1, 0, 1
Let a(k) be the first derivative of -2*k**3/69 + 64*k**2/23 + 130*k/23 - 63. Factor a(x).
-2*(x - 65)*(x + 1)/23
Factor -1/4*j + 0 - 1/4*j**2.
-j*(j + 1)/4
Let a = 70 + -70. What is m in 256 + 4*m**2 + 14*m + 21*m + 29*m + a*m**2 = 0?
-8
Let x(a) be the second derivative of 0 + 14/3*a**3 - 8/5*a**2 - 81/100*a**5 - 11*a - 24/5*a**4. Factor x(p).
-(p + 4)*(9*p - 2)**2/5
Factor 1/2*f**3 + 0 + 0*f**2 - 9/2*f.
f*(f - 3)*(f + 3)/2
Let l = 225 + -337. Let r be (-4)/(-16) + -2 + (-388)/l. Determine c, given that 6/7*c**2 - r*c**4 - 4/7*c + 0 + 10/7*c**3 = 0.
-2/3, 0, 1/2, 1
Let n be -1 + (-4)/20*-17. Let j(m) be the first derivative of 2*m**4 + 16/3*m**3 + 10 - 4*m - 4*m**2 - n*m**5. Let j(s) = 0. Calculate s.
-1, -1/3, 1
Let j(m) = m**5 - m**2 - 1. Let c(t) be the first derivative of 5*t**6/3 - 2*t**5/5 - 3*t**3 - 9*t - 22. Let w(k) = 4*c(k) - 36*j(k). Factor w(g).
4*g**4*(g - 2)
Let l(h) be the third derivative of h**7/210 - h**6/20 + h**5/20 + 4*h**4/3 + h**3/2 - 7*h**2. Let y(w) = -w**2 - 1. Let a(f) = -l(f) - 3*y(f). Factor a(d).
-d*(d - 4)**2*(d + 2)
Let b(x) be the third derivative of -x**8/10080 + x**7/840 - x**6/180 - 7*x**5/30 - 21*x**2. Let j(a) be the third derivative of b(a). Let j(f) = 0. What is f?
1, 2
Suppose 0 = 6*u - 35 - 19. Suppose u + 0 = 3*t. Determine n, given that 0*n**2 + 0 - 2/5*n**t + 0*n = 0.
0
Suppose 36*f - 856 + 748 = 0. Factor 147/5*d**f - 36/5 + 264/5*d - 105*d**2.
3*(d - 3)*(7*d - 2)**2/5
Let n(l) = -l**2 - l. Let c(m) be the third derivative of 3*m**5/20 + 13*m**4/4 + 72*m**3 + 22*m**2. Let i(z) = -c(z) - 6*n(z). Let i(j) = 0. What is j?
-12
Suppose -5 + 12 = g. Let 4 - 20*c**2 - 4*c + g*c**2 + 8*c**2 + 6*c**2 = 0. Calculate c.
2
Let k be (1 + -2 - -6) + -2. Suppose -24 = 20*l - 22*l. Factor 3*p**4 - 3*p**2 - l*p**3 + 3*p**5 - p + 7*p + 0*p + k*p**3.
3*p*(p - 1)**2*(p + 1)*(p + 2)
Let x = 15707/240 - 1045/16. Determine i, given that 0 + 0*i + x*i**2 = 0.
0
Suppose 13 = z + 1. Factor -2*c**2 + 4*c**2 - 80 - z*c - 7*c**2 - 28*c.
-5*(c + 4)**2
Let i = 236 + -704/3. Let f be (2/(-5))/(3/(-10)). Factor -2/3*t - i + 2/3*t**3 + f*t**2.
2*(t - 1)*(t + 1)*(t + 2)/3
Suppose 7*j = 11*j - 64. What is x in 9*x**5 + 2*x**5 - 48*x**3 + j*x**4 - 46*x + 12 - 13*x**5 + 68*x**2 = 0?
1, 2, 3
Let -12/7 + 10/7*w**5 - 4/7*w**2 - 48/7*w**3 + 16/7*w**4 + 38/7*w = 0. What is w?
-3, -1, 2/5, 1
Let x(h) = -81*h + 166. Let d be x(2). Let 0 - 6*s**d + 0*s - 3/2*s**2 - 15/2*s**3 = 0. Calculate s.
-1, -1/4, 0
Let r = -24043 - -168309/7. Determine s, given that -16/7*s - r + 10/7*s**2 = 0.
-2/5, 2
Factor -7*g**2 - 4671*g**3 + 4695*g**3 - 3*g**4 - 50*g**2 + 36*g.
-3*g*(g - 4)*(g - 3)*(g - 1)
Suppose 11*u**2 - 140*u - 10*u**2 + 3*u**2 + 136 = 0. What is u?
1, 34
Let d = 63761/33 + -1930. Let f = d - 20/11. Solve 0 + 2/3*r**2 + 0*r**3 - 2/3*r**4 - f*r + 1/3*r**5 = 0 for r.
-1, 0, 1
Let n be 2/2 + (13 - 9). Let a(v) = 3*v - 3. Let y be a(n). Solve -32*z + 1 - y*z**2 + 7 + 4 = 0.
-3, 1/3
Let j(t) be the third derivative of -t**7/504 + t**6/36 + t**4/24 + 19*t**2. Let c(r) be the second derivative of j(r). Find q such that c(q) = 0.
0, 4
Let r(m) = -m**2 + 4*m + 13. Let x be r(6). Suppose 0 = 3*n + 3*u - 132, 0*u = -u + x. Suppose -4*d**4 + 47*d**2 - 2*d + 0*d - n*d**2 + 2*d**5 = 0. Calculate d.
-1, 0, 1
Solve -19762 + 10158 - 4*m**2 - 392*m + 0*m**2 = 0.
-49
Let s(v) be the third derivative of -v**5/15 + 13*v**4/6 - 44*v**3/3 - 2*v**2 + 11. Determine w so that s(w) = 0.
2, 11
Let p = -2779/27 - -103. Let v(l) be the first derivative of p*l**3 + 2/9*l + 2/9*l**2 - 2. Solve v(g) = 0 for g.
-1
Let y(i) = 6*i**2 - 13*i - 9. Let r(j) = 5*j**2 - 12*j - 9. Let x(o) = 5*r(o) - 4*y(o). Factor x(t).
(t - 9)*(t + 1)
Factor -9/4*l**2 - 3/4 + 3/4*l**3 + 9/4*l.
3*(l - 1)**3/4
Let s = 229/5 - 652/15. Factor -1/3 - 2*r**2 + s*r.
-(r - 1)*(6*r - 1)/3
Let c = 48 - 40. Let -45*h - 14*h**3 + c*h**3 + 3*h**3 - 21*h**2 - 27 = 0. Calculate h.
-3, -1
Let o(k) be the third derivative of k**7/1155 + 7*k**6/660 + k**5/22 + 13*k**4/132 + 4*k**3/33 - 5*k**2 - 6. Let o(s) = 0. Calculate s.
-4, -1
Suppose -2*a + 3 = a. Suppose -a = -2*f + 1. Solve -2 + i**3 + i - 15*i**2 - 7*i**4 + 18*i**3 + f + 3 = 0.
-2/7, 1
Suppose 7*h + 14 = 35. Let v(c) be the first derivative of -1/2*c + 5/8*c**2 + 1 + 1/4*c**h. Factor v(r).
(r + 2)*(3*r - 1)/4
Let c = 22 - 24. Let y be c/((-9)/6*11/3). Solve 2/11 + 0*x**3 + 0*x + 2/11*x**4 - y*x**2 = 0 for x.
-1, 1
Let j(w) be the third derivative of 0 + 0*w + 23*w**2 - 1/6*w**3 - 1/24*w**4 - 1/240*w**5. Factor j(n).
-(n + 2)**2/4
Let q be ((36/(-12))/(6/16))/(-2). Factor -2*x**5 - 34*x**4 + 5*x - 5*x + 32*x**q.
-2*x**4*(x + 1)
Let b(i) be the first derivative of -2*i**3/3 + 218*i**2 - 23762*i - 447. Determine v so that b(v) = 0.
109
Let i(w) = -5*w**4 - 3*w**3 + 4*w**2 - 8*w - 4. Let g = 16 + -27. Let q(k) = -14*k**4 - 8*k**3 + 12*k**2 - 23*k - 11. Let p(f) = g*i(f) + 4*q(f). Factor p(y).
-y*(y - 2)*(y - 1)*(y + 2)
Let z(b) be the second derivative of -b**7/5880 + b**5/70 + 19*b**4/12 + 9*b. Let f(l) be the third derivative of z(l). Factor f(m).
-3*(m - 2)*(m + 2)/7
Let g(n) be the first derivative of n**6/21 - 4*n**5/7 + 11*n**4/7 + 8*n**3/3 - 55*n**2/7 - 100*n/7 - 81. Determine o, given that g(o) = 0.
-1, 2, 5
Let i(x) be the third derivative of -x**9/15120 + x**8/17640 - 17*x**5/30 + 25*x**2. Let v(j) be the third derivative of i(j). Factor v(b).
-4*b**2*(7*b - 2)/7
Let r = 1946/9 + -216. Let m be 120/180 - 4/(-3). Suppose r*o**3 + 0 + 8/9*o + 8/9*o**m = 0. Calculate o.
-2, 0
Let d(r) = -r**2 - 6*r + 4. Let z be d(-6). Let m(t) = t**3 + 44*t**2 - 90*t + 95. Let a