**4/72 - 6*l**2. Factor m(t).
-t*(t - 1)**3/3
Let b(v) be the third derivative of v**8/224 + v**7/28 + 3*v**6/80 - 9*v**5/40 + 21*v**2. Solve b(o) = 0.
-3, 0, 1
Suppose -v - 3*d - 1 = -11, 4*v = d + 14. Let a(m) = m - 6. Let r be a(9). Solve 2*y**3 + 0*y**r + 4*y**v - 2*y**5 - 4*y**3 = 0.
0, 1
Let o(q) be the first derivative of 2*q**5/25 + q**4 + 22*q**3/5 + 8*q**2 + 32*q/5 - 8. Solve o(h) = 0.
-4, -1
Let i(t) be the first derivative of 4*t**5/5 - 3*t**4 + 8*t**3/3 - 13. Find z, given that i(z) = 0.
0, 1, 2
Suppose 5*d + 5 = 5*r, -r - d = 4*r - 17. Suppose 0 = r*a - 2*a - 8. Find l such that a*l**2 - 3*l**2 - 3*l**2 = 0.
0
Factor -2*a**2 + 41*a + 5*a**3 + a**5 - 4*a**4 - 41*a.
a**2*(a - 2)*(a - 1)**2
Solve -98/5 + 28/5*l - 2/5*l**2 = 0.
7
Let n(y) be the third derivative of -y**6/165 + 2*y**5/55 - 3*y**4/44 + 2*y**3/33 + 28*y**2. Let n(l) = 0. What is l?
1/2, 2
Solve 578/7*l**2 + 8/7 + 136/7*l = 0.
-2/17
Let d(k) = k**2 + k. Let g(s) = -6*s - 6. Let x(t) = -4*d(t) - 2*g(t). Let x(o) = 0. What is o?
-1, 3
Let g = 5 + -1. Let h(u) be the second derivative of 1/6*u**3 - 3*u + 1/4*u**2 + 0 + 1/24*u**g. Factor h(a).
(a + 1)**2/2
Factor -q**2 + 1/4*q + 0.
-q*(4*q - 1)/4
Let c(w) = -w**3 + w**2 + 1. Let o(m) = -2*m**2 + 2*m - 1. Let p(a) = c(a) + o(a). Factor p(l).
-l*(l - 1)*(l + 2)
Let s(x) = x**3 + 4*x**2 - x - 2. Let r(o) = 3*o**3 + 9*o**2 - 2*o - 5. Suppose -y = 34 - 2. Let d = y - -22. Let b(z) = d*s(z) + 4*r(z). Factor b(l).
2*l*(l - 1)**2
Let p be (-15)/(-9)*(-18)/(-15). Let u(j) be the first derivative of -2 - 8/5*j - 28/5*j**p - 98/15*j**3. What is z in u(z) = 0?
-2/7
Let o(c) be the second derivative of -c**6/10 - 3*c**5/5 - 3*c**4/4 + 2*c**3 + 6*c**2 - 46*c + 2. Factor o(p).
-3*(p - 1)*(p + 1)*(p + 2)**2
Let x(z) = -z + 13. Let w be x(11). Find d such that 10 + 2*d**w - 10 = 0.
0
Let r(c) be the second derivative of 1/20*c**5 + 1/4*c**4 - 3*c + 1/2*c**2 + 0 + 1/2*c**3. What is u in r(u) = 0?
-1
Suppose 0*z + 3*z + 11 = y, 5 = -5*y - 5*z. Let u be y*(-2)/8*-6. Factor -u - b**3 + b + 3.
-b*(b - 1)*(b + 1)
Let k(w) be the first derivative of 8*w**5/5 + 3*w**4 - 4*w**3/3 - 6*w**2 - 4*w - 15. Factor k(c).
4*(c - 1)*(c + 1)**2*(2*c + 1)
Let z(i) be the third derivative of -i**7/350 - i**6/300 + i**5/100 + i**4/60 - 25*i**2. Factor z(n).
-n*(n - 1)*(n + 1)*(3*n + 2)/5
Suppose -22 = -n - 9*t + 4*t, -2*n + t = 0. Find g, given that 14 + 18*g + g**n - g**2 + 13 + 3*g**2 = 0.
-3
Suppose 0*i + 2*i = -5*d + 27, 0 = -5*i + d. Suppose -t + i - 3 = -x, 3*t + x = 2. Let 2/5 - 2/5*k**2 + t*k = 0. What is k?
-1, 1
Let g = 18 - 8. Let v be 7 + -6 - 8/g. Let -2/5*w - v - 1/5*w**2 = 0. Calculate w.
-1
Let k be (4/32)/(14/6). Let j = k + 39/56. Factor 0 - 3/4*h**4 + 1/4*h**3 - 1/4*h + j*h**2.
-h*(h - 1)*(h + 1)*(3*h - 1)/4
Let g be 5 - (0 - (-297)/77). Let -4*w - 36/7*w**2 - 4/7*w**4 - 20/7*w**3 - g = 0. What is w?
-2, -1
Factor 0 - 4/5*u - 42/5*u**3 + 34/5*u**4 - 2*u**5 + 22/5*u**2.
-2*u*(u - 1)**3*(5*u - 2)/5
Suppose -96*r = -91*r - 15. What is z in 1/2*z**2 - 1/4*z + 1/4*z**5 + 0 + 0*z**r - 1/2*z**4 = 0?
-1, 0, 1
Let q = -34 - -36. Solve -2/9 + 2/3*r**4 + 4/9*r**3 + 2/9*r**5 - 2/3*r - 4/9*r**q = 0 for r.
-1, 1
Let f(m) = -m**4 + 2*m**3 - m**2. Let p(w) = 9*w**4 + 7*w**2 - 15*w**3 + 0*w**2 + 2*w**2. Let h(i) = -33*f(i) - 4*p(i). Factor h(y).
-3*y**2*(y + 1)**2
Let i(l) = 11*l**2 - 2*l - 4. Let p(b) be the third derivative of b**5/60 + 3*b**2. Let o(m) = -i(m) + 5*p(m). Factor o(v).
-2*(v - 1)*(3*v + 2)
What is z in -6/13 + 4/13*z**2 - 8/13*z + 2/13*z**4 + 8/13*z**3 = 0?
-3, -1, 1
Suppose -4*j - 4 = -4*c, 0*j = 5*j - 5. Let q = 18 + -10. Factor 7*k + 3 + k + 12*k**2 - 1 + c*k**4 + q*k**3.
2*(k + 1)**4
Let r(p) be the first derivative of 1/12*p**4 + 1 + 0*p**2 + 0*p - 1/9*p**3. Solve r(d) = 0.
0, 1
Let i be 4/34 - (-594)/153. Let t(m) be the first derivative of 0*m**3 + 1/6*m**i + 1 + 0*m - 1/3*m**2. Solve t(o) = 0.
-1, 0, 1
Let q(a) = -a**5 - a**4 + 3*a**3 + a**2 - 2*a - 2. Let v(o) = 3*o**5 + o**4 - 6*o**3 - 3*o**2 + 5*o + 5. Let f(z) = 15*q(z) + 6*v(z). What is l in f(l) = 0?
0, 1
Let t(z) be the second derivative of -z**7/105 + 3*z**5/25 - 4*z**4/15 + z**3/5 + 30*z. Determine u so that t(u) = 0.
-3, 0, 1
Let g be (4 + -2 + 2)/(2 + 0). Factor 8/9 + 2/9*x**g + 8/9*x.
2*(x + 2)**2/9
Factor 0*h + 6/11*h**4 - 12/11*h**2 + 0 - 6/11*h**3.
6*h**2*(h - 2)*(h + 1)/11
Let v(f) = -f**3 - 3*f**2 - 3*f. Let q be v(-2). Suppose -q*s = -3*s. Solve o - o**2 + 0*o + 2 + s = 0.
-1, 2
Let r = -137 + -114. Let q = r + 1261/5. Factor 2/5*h**3 - 2/5 - q*h**2 + 6/5*h.
2*(h - 1)**3/5
Let l(x) be the third derivative of -4*x**7/105 - x**6/30 - x**5/120 - 4*x**2. Factor l(t).
-t**2*(4*t + 1)**2/2
Suppose 0*q + 10 = 5*q. Suppose q*c - 4*w = -20, c - w + 1 = -4. Suppose 0 - 3/7*j**2 + c*j = 0. Calculate j.
0
Let m(w) = -7*w**2 + 3*w - 8. Let g(b) = -6*b**2 + 2*b - 7. Let y = -7 - 0. Let o = -12 - y. Let p(i) = o*m(i) + 6*g(i). Determine v, given that p(v) = 0.
-2, -1
Let x = -25 + 43. Find y such that 20*y**4 - 4*y**4 + 24*y + x*y**3 - 60*y**2 + 11*y**4 = 0.
-2, 0, 2/3
Suppose -5*a - 29 = -k - 0, 2*a = -5*k + 10. Factor 0*b**3 + 0*b - 2/7*b**k - 2/7 + 4/7*b**2.
-2*(b - 1)**2*(b + 1)**2/7
Let c(p) be the first derivative of p**6/120 + p**5/20 + 5*p**3/3 + 1. Let a(v) be the third derivative of c(v). Factor a(x).
3*x*(x + 2)
Let z(r) be the third derivative of r**9/7560 + r**8/2800 + r**7/6300 - r**4/12 + 7*r**2. Let p(m) be the second derivative of z(m). Find a such that p(a) = 0.
-1, -1/5, 0
Let p(v) = 11*v - 3. Let q be p(2). Suppose -5*a - 3*g = -q, -a - 5*g + 4*g + 5 = 0. Factor 1/3 - 4/3*b**3 - 2*b + 3*b**a.
-(b - 1)**2*(4*b - 1)/3
Let r be 1*(-1 - 0) - -4. Factor 0*t**5 - 2*t**4 + 2*t**3 - t**r + t**5.
t**3*(t - 1)**2
Solve 5*w**3 + 3*w**2 + 6*w - 6*w - 2*w**3 = 0 for w.
-1, 0
Suppose 2*w + 3*w = -25. Let c = 7 + w. Factor -4/3*v + 2/3*v**c + 2/3.
2*(v - 1)**2/3
Let c(p) = p + 2. Let r be c(3). Suppose -3*d + 2*d - t = -7, -r*t - 1 = -4*d. Suppose -2*a**3 - 2*a**d + 2*a**2 - 2*a**2 = 0. Calculate a.
-1, 0
Determine m, given that -9*m**4 - m**3 + 7*m**4 - 4*m**4 + 6*m**2 + 4*m**3 - 3*m**5 = 0.
-2, -1, 0, 1
Let v = 39 - 39. Let h(r) be the third derivative of v*r + 0 - 1/525*r**7 + 0*r**3 + 0*r**4 + 0*r**5 + r**2 + 1/300*r**6. Suppose h(z) = 0. Calculate z.
0, 1
Let b(a) be the second derivative of a**5/10 + 4*a**4/11 + 4*a**3/33 - 9*a. Let b(w) = 0. What is w?
-2, -2/11, 0
Let c(k) be the second derivative of k**8/3360 + k**7/420 - k**5/15 - 5*k**4/6 - 2*k. Let u(q) be the third derivative of c(q). Find b such that u(b) = 0.
-2, 1
Solve -28*l**2 - 3 + 28*l**2 - 6*l + 6*l**3 + 3*l**4 = 0 for l.
-1, 1
Find s such that -8 + 4*s - 1/2*s**2 = 0.
4
Let v(x) = x. Let n be v(5). Suppose -j = -n*h + 8, j + j - 8 = -2*h. Let -2/3*a**3 + 0 - 2/3*a**4 + 0*a**j + 0*a = 0. What is a?
-1, 0
Let q(l) be the first derivative of -l**5/30 - l**4/3 - 7*l**3/6 - 3*l**2/2 - 23. Determine g, given that q(g) = 0.
-3, -2, 0
Let l(y) be the second derivative of -y**7/168 + y**6/60 - y**4/24 + y**3/24 + 6*y. Solve l(n) = 0 for n.
-1, 0, 1
Let q(n) be the third derivative of n**6/80 - n**4/16 + 2*n**2. Factor q(x).
3*x*(x - 1)*(x + 1)/2
Let t(f) be the second derivative of -11*f**5/40 + 13*f**4/24 - f**3/6 - 9*f. Factor t(h).
-h*(h - 1)*(11*h - 2)/2
Let c(k) = 4*k**2 + 2*k - 6. Let t(x) = -3*x**2 - 3*x + 6. Let n be 1*-3 + -2 + -1. Let j(l) = n*c(l) - 7*t(l). Determine r, given that j(r) = 0.
1, 2
Let o = -91 + 95. Let v(g) be the second derivative of -1/147*g**7 + 2*g + 0 + 1/105*g**6 + 0*g**o + 0*g**5 + 0*g**3 + 0*g**2. Factor v(z).
-2*z**4*(z - 1)/7
Let i = -4 - 2. Let s = i - -6. Factor s*v**3 - 4/5*v**2 + 2/5 + 0*v + 2/5*v**4.
2*(v - 1)**2*(v + 1)**2/5
Let i = -1001/34 - 103/17. Let j = 37 + i. Factor 0 + 0*l - 3/2*l**2 - j*l**3.
-3*l**2*(l + 1)/2
Let a(d) be the third derivative of -4/15*d**3 + 1/30*d**5 + 2/15*d**4 + 0 - 2*d**2 + 0*d. Factor a(x).
2*(x + 2)*(5*x - 2)/5
Let k(j) = -15*j**4 - 8*j**3 + 13*j**2 + 4*j - 9. Let v(a) = -7*a**4 + 2 - 1 + 2*a + 2*a**3 - 6*a**3 + 6*a**2 - 5. Let h(l) = 6*k(l) - 14*v(l). Factor h(g).
2*(g + 1)**2*(2*g - 1)**2
Determine d, given that 1/3*d**4 + 4 - 13/3*d**2 - 3*d**3 + 8/3*d + 1/3*d**5 = 0.
-2, -1, 1, 3
Let r(a) = -3*a**2 - 12*a. Let h(k) = 4*k**2 + 13*k. Le