+ 5 + 23. Suppose 2*h + w = 5*b, 0 = -3*b - 7*h + 2*h - 8. Suppose 2*g**3 - g**2 - b*g**3 + g**3 = 0. Calculate g.
-1, 0
Let r(k) be the second derivative of -k**4/24 - k**3/12 - 2*k. Determine a, given that r(a) = 0.
-1, 0
Suppose 4*l + 16 = 2*f, 5*f + 2*l = -3*l + 40. Determine z so that z**2 - 2*z**2 + 0*z**2 - z**2 + f = 0.
-2, 2
Suppose 0 = u - 3 - 3. Suppose -u*n + 2 = -5*n. Determine z so that 0 + 6/7*z**4 - 16/7*z**3 + n*z**2 - 4/7*z = 0.
0, 2/3, 1
Let q(u) be the third derivative of u**7/70 + u**6/40 + 17*u**2. Factor q(f).
3*f**3*(f + 1)
Let i(m) be the second derivative of 1/90*m**5 - 1/27*m**3 + 0 + 5*m - 1/135*m**6 + 1/18*m**4 - 2/9*m**2. Find l such that i(l) = 0.
-1, 1, 2
Let d be 20/50 - 166/30. Let o = d - -19/3. Let 2/5*a**4 + 2/5*a + o*a**2 + 0 + 6/5*a**3 = 0. Calculate a.
-1, 0
Let b(f) be the second derivative of f**7/3150 - f**6/150 + 3*f**5/50 - f**4/4 + 7*f. Let a(o) be the third derivative of b(o). Solve a(y) = 0 for y.
3
Suppose 0*z**2 - 2/9*z**3 + 2/3*z - 4/9 = 0. Calculate z.
-2, 1
Suppose -1 = -5*h + 4*k, 0*h - 2*h - 3*k = -5. Let s be -2 + (3 - (h - 0)). Suppose -1/4*z**3 + 1/4*z**4 + s + 0*z + 0*z**2 = 0. Calculate z.
0, 1
Let a(c) be the second derivative of -c**6/135 - c**5/45 + c**4/54 + 2*c**3/27 - 7*c. Factor a(y).
-2*y*(y - 1)*(y + 1)*(y + 2)/9
Let g(t) be the second derivative of -t**7/462 - t**6/30 - 23*t**5/110 - 15*t**4/22 - 27*t**3/22 - 27*t**2/22 + 34*t. Determine m so that g(m) = 0.
-3, -1
Suppose -2*q - 2*i = -4, q + 3*i = -2 - 0. Let y(m) be the third derivative of 0*m**q + 0*m**3 + 1/15*m**5 - 1/60*m**6 + 0*m + m**2 + 0. Solve y(w) = 0 for w.
0, 2
Let o = -56699/90 + 630. Let c(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**3 + 1/189*x**7 - 2/135*x**6 + o*x**5 + 2*x + 0. What is r in c(r) = 0?
0, 1
Suppose 0 = 4*f, 3*p + 4*f = 1 - 19. Let y(i) = 9*i**2 + 11*i - 11. Let t(k) = -5*k**2 - 6*k + 6. Let q(r) = p*y(r) - 11*t(r). Suppose q(c) = 0. Calculate c.
0
Suppose 20 = -5*j, -5*q - j + 5 = -1. Suppose 9*z**4 - 6*z - 6*z**3 - 13*z**q - 14*z**2 - 2*z**2 + 8*z**2 = 0. Calculate z.
-1, -1/3, 0, 2
Let k(g) be the second derivative of -g**6/1080 - g**5/180 - g**4/72 + g**3/3 - g. Let a(l) be the second derivative of k(l). Determine f, given that a(f) = 0.
-1
Let z(m) be the third derivative of m**5/30 - m**4/4 + 2*m**3/3 - 4*m**2. Let z(o) = 0. Calculate o.
1, 2
Let j(m) be the second derivative of -m**6/324 - m**5/135 + m**4/108 + m**3/3 - 3*m. Let o(g) be the second derivative of j(g). Factor o(p).
-2*(p + 1)*(5*p - 1)/9
Let r = 14 - 11. Let t(l) be the first derivative of -7/6*l**r + l - 5/4*l**2 + 2. Find p such that t(p) = 0.
-1, 2/7
Let n be 4/18 - (-1 - (3 + -4)). Let u be (-3 - -3) + 4/9. Factor 4/9*q - u*q**3 + n - 2/9*q**4 + 0*q**2.
-2*(q - 1)*(q + 1)**3/9
Let z be 3/(1/(-2 - 24/(-9))). Determine f, given that -1/3 - 2/3*f - 1/3*f**z = 0.
-1
Let h(w) be the first derivative of -w**5/45 + w**4/18 - w**2/9 + w/9 - 15. Find y, given that h(y) = 0.
-1, 1
Let t(s) = -s + 4. Let v be t(-8). Suppose -2*j + 5*o + 26 = 0, 3*o - 3 = -j - v. Determine a so that -5*a**2 + a**2 - a**4 + 3*a**4 + 2*a**j = 0.
-2, 0, 1
Let t(n) be the second derivative of 5*n**4/3 - 10*n**3 + 45*n**2/2 - 18*n. Determine m so that t(m) = 0.
3/2
Suppose 16 = -6*l + 16. Let v(b) be the third derivative of 3*b**2 + 0 + l*b - 1/21*b**3 + 0*b**4 + 1/210*b**5. Solve v(n) = 0.
-1, 1
Suppose 2*n - 4*a = 18, -2*n - 5*a = 3*n. Let k(v) be the first derivative of 2*v - n*v**2 + 3/2*v**3 + 3. Determine d so that k(d) = 0.
2/3
Let m(q) = 45*q**4 - 28*q**3 + 7*q**2 + 2. Let l(i) = -765*i**4 + 475*i**3 - 120*i**2 - 35. Let n(s) = -2*l(s) - 35*m(s). Factor n(k).
-5*k**2*(3*k - 1)**2
Let a be (-56390)/(-55) - (-2)/(-2). Let w = 1025 - a. Factor -10/11*l**2 + 16/11*l + w.
-2*(l - 2)*(5*l + 2)/11
Let l(q) = -4*q**3 - 12*q**2 + 8*q + 1. Let o(w) be the second derivative of -w**5/20 - w**4/3 + w**3/2 - 3*w. Let r(g) = 4*l(g) - 14*o(g). Factor r(h).
-2*(h - 2)*(h - 1)**2
Let s(g) = g**3 - 5*g**2 + 2*g - 8. Let n be s(5). Factor -2/3*f**n + 0 - 2/3*f.
-2*f*(f + 1)/3
Let o(p) be the first derivative of -p**6/6 + p**5/3 - p**4/6 + 24. Determine z, given that o(z) = 0.
0, 2/3, 1
Let o(k) be the first derivative of 2/27*k**3 - 1/3*k**2 + 3 + 0*k. Suppose o(a) = 0. What is a?
0, 3
Let w(z) be the second derivative of 0*z**2 - 1/2*z**4 + 0 - 1/2*z**3 - 6*z - 3/20*z**5. Determine y so that w(y) = 0.
-1, 0
Suppose 10*g - 8*g = k - 5, 2*k + g = 5. Solve -4/3*m - 2/3 + 10/3*m**2 + 4*m**k = 0 for m.
-1, -1/3, 1/2
Let d = 15 - 22. Let q be -1 - (d + (2 - -1)). Solve q*h**4 - 2*h**3 + 0*h**4 + h**2 + 5*h**3 + h**5 = 0 for h.
-1, 0
Let o be 0/(-1)*4/4. Let p be -1 + o + (-70)/(-25). Let -7/5*y - p*y**2 + 2/5 = 0. What is y?
-1, 2/9
Suppose -c - 4*c + 10 = 0. Find u, given that -3/4*u**3 + 3/2 + 3*u**c - 15/4*u = 0.
1, 2
Let o be ((-4)/(-3))/(6/9). Suppose -5 = -o*a - 1. What is q in -3*q**2 + 12*q**3 + 3*q**a - 2*q - 3*q**2 - 7*q**4 + 0*q**3 = 0?
-2/7, 0, 1
Find y such that -y - 5*y**2 - 1 + 3*y**3 + 7*y**2 - y**2 - 2*y**3 = 0.
-1, 1
Let d be (-1)/(0 + (-1)/(-111)). Let o = -215/2 - d. What is z in o*z**3 - z + 5/2*z**2 + 0 = 0?
-1, 0, 2/7
Factor -14*x**2 - 4*x + 4 + 4*x**4 + 2*x**2 + 4*x**3 + 4*x**4.
4*(x - 1)*(x + 1)**2*(2*x - 1)
Let o(n) be the first derivative of -4 + 13/14*n**4 - 4/7*n + 2/7*n**5 + 6/7*n**3 - 1/7*n**2. Factor o(k).
2*(k + 1)**3*(5*k - 2)/7
Let i(c) be the first derivative of -c**8/168 + 2*c**7/735 + 3*c**2/2 + 1. Let l(d) be the second derivative of i(d). Factor l(m).
-2*m**4*(7*m - 2)/7
Let s be (10/25)/(4/5). Suppose -3*o = -2*w - 1, 4*w + 3*o = 7*o. Let -1/2*y**3 + w + s*y - y**2 = 0. Calculate y.
-2, -1, 1
Suppose 3*x - 8*x + 2*o + 31 = 0, 0 = -x - 2*o - 1. Let p(s) be the third derivative of -2*s**2 + 0 - 1/42*s**4 + 0*s**3 + 0*s + 1/210*s**x. Factor p(l).
2*l*(l - 2)/7
Suppose -3*a + 9 = i, 3*a - 4 = -3*i + 11. Find x such that 0 - 2/3*x**a - 1/3*x - 1/3*x**3 = 0.
-1, 0
Factor 1024/3*q - 544/3*q**2 + 1/3*q**5 - 256 - 19/3*q**4 + 48*q**3.
(q - 4)**4*(q - 3)/3
Let t(a) be the second derivative of a**5/100 - a**4/12 + a**3/10 + 9*a**2/10 - 17*a. Solve t(p) = 0 for p.
-1, 3
Factor -8/7 + 32/7*u - 2*u**4 - 50/7*u**2 + 2/7*u**5 + 38/7*u**3.
2*(u - 2)**2*(u - 1)**3/7
Let o(n) = 31*n**3 - 60*n**2 + 29*n + 17. Let m(u) = 5*u**3 - 10*u**2 + 5*u + 3. Let i(s) = 34*m(s) - 6*o(s). Solve i(l) = 0 for l.
0, 1/4, 1
Let z(n) = -n + 1. Let a(h) = 4*h**2 + 8*h + 4. Let l(s) = a(s) - 4*z(s). Let l(d) = 0. What is d?
-3, 0
Find h, given that -4*h**3 - 540*h - 90*h**2 + 546 - 1626 - h**3 = 0.
-6
Solve 7/8*x**2 - x**3 + 0 - 1/8*x - 2*x**4 = 0 for x.
-1, 0, 1/4
Suppose -3*a + x + 2 = 0, 4*x - 7 = 5*a - 1. Factor -1/5*z + 3/5*z**a - 2/5.
(z - 1)*(3*z + 2)/5
Solve -2/13*p**3 - 6/13*p + 2/13 + 6/13*p**2 = 0 for p.
1
Let r(u) = u**2 + 7*u. Let w be r(-7). Let k be 1*(0 - 0 - w). What is v in 0*v + k - 1/4*v**3 + 0*v**2 + 1/4*v**4 = 0?
0, 1
Factor 10*c**2 + 26*c**4 - 15*c**3 - 8*c**4 - 13*c**4.
5*c**2*(c - 2)*(c - 1)
Let q be 20 + (-3 - 3/(-1)). Let u(o) = o - 20. Let s be u(q). Find x, given that 0*x**2 - 3/5*x + 3/5*x**3 + s = 0.
-1, 0, 1
Suppose -5*q + 3 + 27 = t, -3*q = 2*t - 25. Let l be ((-3)/9)/(t/(-30)). Factor 1 + 1/2*r**l + 3/2*r.
(r + 1)*(r + 2)/2
Suppose 0*x + 45 = 5*j - 4*x, -2*j = 2*x. Let z(r) be the first derivative of 0*r**4 + 0*r - 2/15*r**3 + 1 + 0*r**2 + 2/25*r**j. Factor z(g).
2*g**2*(g - 1)*(g + 1)/5
Let x be 25/(-30)*12/(-45). Suppose x*z**3 + 0 - 8/9*z**2 + 8/9*z = 0. What is z?
0, 2
Let d = -60/11 - -442/77. Find b, given that 4/7*b**2 + d*b**3 + 0 + 2/7*b = 0.
-1, 0
What is m in m**3 + m**4 + 15*m**5 - 2*m**4 + 10*m**5 - 9*m**4 = 0?
0, 1/5
Let u be 3/(7*141)*1. Let s = 1319/987 - u. Factor s*j**3 - 2/3*j**2 + 0*j + 0 - 2/3*j**4.
-2*j**2*(j - 1)**2/3
Suppose 3*l - 5*n - 6 = -0*n, 2*n = -3*l + 6. Find i such that -2*i**2 - l*i**2 - 21*i + 21*i = 0.
0
Suppose 0 - 3/8*y**4 + 3/8*y**2 - 3/8*y**3 + 3/8*y = 0. Calculate y.
-1, 0, 1
Let u(l) = -l**2 + 2*l. Let r(q) = -q**3 - 5*q**2 - 5*q - 2. Let h be r(-4). Let g be u(h). Factor 2/5*z**2 - 4/5*z + g.
2*z*(z - 2)/5
What is v in -12*v**4 + 36/7*v**5 - 4/7 - 12/7*v + 40/7*v**3 + 24/7*v**2 = 0?
-1/3, 1
Suppose 9 = 3*u - 0*q - 3*q, 0 = -3*q - 3. Factor g**4 - 4/3*g**3 + 1/3*g**u + 0 + 0*g.