*5/20 + 3*v**2. Let k(g) be the third derivative of c(g). Factor k(u).
(u - 1)*(u + 2)
Let u = -49 + 51. Solve 5/4*k**4 + 1/4 + 5/2*k**u + 1/4*k**5 + 5/4*k + 5/2*k**3 = 0 for k.
-1
Let w(g) be the second derivative of -g**4/30 + 7*g**3/15 - 25*g. Factor w(y).
-2*y*(y - 7)/5
Solve 2*t**2 + 2*t**4 + 75*t + 2*t**3 - 75*t + 2*t**3 = 0 for t.
-1, 0
Suppose 3*p - 5 = 13. Suppose -23*m + 22*m = -p. Find b, given that -87/2*b**2 + m + 6*b + 63/2*b**3 = 0.
-2/7, 2/3, 1
Let n(u) be the second derivative of -u**7/14 - 11*u**6/10 - 69*u**5/10 - 45*u**4/2 - 81*u**3/2 - 81*u**2/2 + 7*u. Factor n(g).
-3*(g + 1)**2*(g + 3)**3
Let b = -2 + 7. Suppose b*s = -3 - 2. Let g(m) = m**2 + m. Let f(i) = -i**3 + 2*i**2 + i. Let v(d) = s*g(d) + f(d). Solve v(c) = 0 for c.
0, 1
Let a(o) be the second derivative of -o**7/84 - 17*o**6/180 - 9*o**5/40 - 7*o**4/72 + o**3/6 - 34*o. What is u in a(u) = 0?
-3, -2, -1, 0, 1/3
Let v = 307/2 - 153. Determine w so that -1/2*w**2 - 9/4*w + 9/4*w**3 + v = 0.
-1, 2/9, 1
Determine k, given that -26*k**4 - 22*k**2 + 32*k**3 + 4*k + 0 + 0 + 12*k**4 = 0.
0, 2/7, 1
Let i(q) = -q**3 + 3*q**2 - 3*q + 3. Let l(c) = 2*c**3 - 5*c**2 + 5*c - 5. Let x(w) = -10*i(w) - 6*l(w). Factor x(k).
-2*k**3
Find w such that 4/5*w**2 + 0 + 16/5*w = 0.
-4, 0
Let n be -4 - (-8)/5 - -4. Let i be 2/(-4)*(1 - 1). Determine h, given that 2/5*h - 8/5*h**2 - 2/5*h**3 + i + n*h**4 = 0.
-1, 0, 1/4, 1
Factor -4*y**5 + 29*y**2 + 12*y**4 - 4*y**3 - 8*y**3 - 25*y**2.
-4*y**2*(y - 1)**3
Let l(k) be the second derivative of -k**8/13440 - k**7/1260 - k**6/288 - k**5/120 + k**4/6 - k. Let h(c) be the third derivative of l(c). Factor h(s).
-(s + 1)**2*(s + 2)/2
What is s in -1/8 - 1/8*s**2 + 1/4*s = 0?
1
Let b(y) be the first derivative of -3*y**4/4 - 2*y**3 + 8. Factor b(f).
-3*f**2*(f + 2)
Let x be (-4)/16*16/(-2). Determine s so that 4*s**x - 24*s**3 + 6*s + 14*s**4 - s**2 + s**4 = 0.
-2/5, 0, 1
Solve -3*k**2 - 1 + k**3 - 15*k + 4*k**2 + 14*k = 0 for k.
-1, 1
Let t(n) = 6*n**4 + 6*n**3 + 12*n**2 - 3. Let p be (0 - 0) + 4 + -2. Let j(b) = -5*b**4 - 7*b**3 - 11*b**2 - b + 2. Let r(h) = p*t(h) + 3*j(h). Factor r(z).
-3*z*(z + 1)**3
Let a(i) be the first derivative of -i**6/144 - i**5/20 - i**4/12 - i**3 + 4. Let o(j) be the third derivative of a(j). Let o(s) = 0. Calculate s.
-2, -2/5
Let q = -9 + 12. Let g(o) = 2*o**3 - o**2 + o. Let w be g(1). Factor 0 + 2*a**4 + 2*a**w - 1/2*a**5 - q*a**3 - 1/2*a.
-a*(a - 1)**4/2
Let b(t) be the second derivative of -4/9*t**3 + 2*t - 4/9*t**4 - 1/6*t**2 + 0. Determine g, given that b(g) = 0.
-1/4
Let i be 2/8*1*2. Let q = 27/28 + -5/7. Factor 1/2*m**4 + 0 - i*m**2 - q*m**5 + 0*m**3 + 1/4*m.
-m*(m - 1)**3*(m + 1)/4
Let b(h) be the third derivative of -1/140*h**7 + 0*h + 0 - 7/120*h**5 + 0*h**3 + 1/30*h**6 - 3*h**2 + 1/24*h**4. Factor b(f).
-f*(f - 1)**2*(3*f - 2)/2
Suppose 83*f - 26*f**3 - 27*f**2 - 2*f - 72 + 29*f**3 - 9 = 0. Calculate f.
3
Let s(t) be the second derivative of -t**5/100 + t**3/10 - t**2/5 + 9*t. Factor s(z).
-(z - 1)**2*(z + 2)/5
Suppose 4*x - 18 = -5*x. Let z(q) be the first derivative of -1/2*q**x + 2*q + 1 - 1/3*q**3. Solve z(y) = 0 for y.
-2, 1
Let a = 90/133 - 2/19. Determine x, given that 4/7*x**2 - 2/7*x - a + 2/7*x**3 = 0.
-2, -1, 1
Let f(l) be the third derivative of -l**5/210 + l**4/84 + 2*l**3/21 - 38*l**2. Solve f(c) = 0 for c.
-1, 2
Let g(f) = f**2 + 13*f. Let i be g(-13). Let n(m) be the third derivative of 0*m**4 + i*m + 1/60*m**5 - 1/6*m**3 + 0 + m**2. Find o, given that n(o) = 0.
-1, 1
Let b(z) be the first derivative of -z**4/3 + 4*z**3/3 + 2*z**2/3 - 4*z - 17. Factor b(k).
-4*(k - 3)*(k - 1)*(k + 1)/3
Let y(h) = -h**4 + h**3 - h**2. Let d(i) = -i**5 + 8*i**4 - 40*i**3 + 70*i**2 - 56*i + 16. Let m(x) = -2*d(x) + 6*y(x). Determine p so that m(p) = 0.
1, 4
Factor 6*g**3 - 8*g - 35*g**2 + 0*g**3 + 31*g**2 - 3*g**4 + g**5 + 8*g**4.
g*(g - 1)*(g + 2)**3
Suppose 6*y**2 + 3*y**3 - 8*y**3 + y**2 - 5*y**4 + 5*y**5 - 2*y**2 = 0. What is y?
-1, 0, 1
Let z be (3 - 10/3)*-1*1. Let n(l) be the first derivative of 0*l - 1/2*l**4 - 3 - 2/3*l**3 + 2/5*l**5 + z*l**6 + 0*l**2. Suppose n(y) = 0. What is y?
-1, 0, 1
Let d(n) be the second derivative of 5*n**7/42 + n**6/2 + 3*n**5/4 + 5*n**4/12 - 21*n. Solve d(z) = 0 for z.
-1, 0
Let a be (39/13)/(0 - -1). Let h(i) be the first derivative of 0*i + 4/21*i**3 + 1/7*i**2 + 1/14*i**4 + a. Factor h(b).
2*b*(b + 1)**2/7
Let g(y) = 4*y**4 + 7*y**3 + 3*y**2 + 3*y + 3. Let c(q) = 36*q**4 + 64*q**3 + 28*q**2 + 28*q + 28. Let k(z) = 3*c(z) - 28*g(z). Solve k(d) = 0.
-1, 0
Let w(o) = 6*o**2 - 10*o - 16. Let t(g) = 5*g**2 + 8*g + 3. Let z(q) = q**2 + q. Let v(a) = t(a) - 6*z(a). Let p(x) = 11*v(x) + 2*w(x). Solve p(c) = 0 for c.
-1
Let h(z) = -2*z**3 + 11*z**2 - 13*z + 1. Let w(k) = k**2 - k - 1. Let d(n) = -h(n) + 3*w(n). Factor d(v).
2*(v - 2)*(v - 1)**2
Let r(z) be the third derivative of -z**5/330 - z**4/66 - z**3/33 + 6*z**2. Factor r(i).
-2*(i + 1)**2/11
Solve -3 + 9/2*z - 3/2*z**2 = 0 for z.
1, 2
Let a(y) = -y**2 - 4*y - 2. Let g be a(-2). Factor 4/3*o**4 - 11/3*o**3 - 1/3*o - 1/3 + 3*o**g.
(o - 1)**3*(4*o + 1)/3
Let u(q) be the first derivative of -1/3*q**3 + 7/4*q**4 + 0*q - q**2 - 1. Let f(w) = -2*w**3. Let c(n) = 6*f(n) + 2*u(n). Suppose c(m) = 0. Calculate m.
-1, 0, 2
Let q be 10/50 - (-941)/20. Let a = q - 47. Factor -a*p - 1/2*p**3 + 0 - 3/4*p**2.
-p*(p + 1)*(2*p + 1)/4
Let a be (-30)/(-612) + (108/51 - 2). Determine n so that 0 - a*n**4 + 0*n**3 + 0*n**2 + 0*n = 0.
0
Let q(w) = -2*w**4 + 24*w**3 - 68*w**2 + 108*w - 58. Let t(b) = -4*b**4 + 49*b**3 - 135*b**2 + 216*b - 117. Let p(m) = 9*q(m) - 4*t(m). Factor p(i).
-2*(i - 3)**3*(i - 1)
Factor 2*l - 4/3 - 2/3*l**2.
-2*(l - 2)*(l - 1)/3
Let -2*s + 2*s**3 - 2/3 + 19/6*s**2 = 0. What is s?
-2, -1/4, 2/3
Let u(q) be the first derivative of -q**7/21 + q**6/60 + q**5/10 - q**4/24 - 2*q - 1. Let j(x) be the first derivative of u(x). Solve j(h) = 0.
-1, 0, 1/4, 1
Let i = 2/75 - -7/50. Let j(r) be the second derivative of 0*r**2 + 0 + 2*r + i*r**3 - 1/12*r**4. Solve j(o) = 0 for o.
0, 1
Let x(v) be the second derivative of -v**6/30 - v**5/20 + 5*v**4/12 - v**3/2 + 3*v. Factor x(l).
-l*(l - 1)**2*(l + 3)
Let t(c) = c + 7. Let h = 1 - 6. Let x be t(h). Factor x*y - 2 - 1/2*y**2.
-(y - 2)**2/2
Let g(z) = 3*z**3 - 8*z**2 - 11*z + 7. Let l(t) = t**3 - 4*t**2 - 5*t + 3. Let x(n) = -6*g(n) + 14*l(n). Find q, given that x(q) = 0.
-1, 0
Let x(q) be the third derivative of -3*q**2 - 1/300*q**5 + 0 + 0*q**3 + 0*q**4 + 0*q. Find n such that x(n) = 0.
0
Let l = 5913/1235 + 3/247. Let i = -67/15 + l. Let i*o**2 + 2/3 - o = 0. Calculate o.
1, 2
Let b(k) be the third derivative of k**8/6720 - k**7/840 + k**6/240 - k**5/20 - 4*k**2. Let p(i) be the third derivative of b(i). Find r such that p(r) = 0.
1
Suppose -2*z = -0*z - 10. Suppose 4*h = 5*d + 23, 4*h - 2 = -z*d + 3*d. Factor 5*m**3 + 6*m**h + m**4 - 2*m**3 + m**3 - 2*m**2.
m**2*(m + 2)**2
Let z = -94 - -473/5. Factor -3/5 + z*n**5 - 3/5*n**4 - 6/5*n**3 + 3/5*n + 6/5*n**2.
3*(n - 1)**3*(n + 1)**2/5
Factor 50 - 5*z**2 - 5*z - 50.
-5*z*(z + 1)
Let t(c) be the second derivative of -c**7/105 + c**6/75 + c**5/25 - c**4/15 - c**3/15 + c**2/5 + 2*c. Factor t(p).
-2*(p - 1)**3*(p + 1)**2/5
Let w = -79 - -81. Suppose -2/9*u + 0 - 2/9*u**4 + 2/9*u**w + 2/9*u**3 = 0. Calculate u.
-1, 0, 1
Let j(z) = z - 3. Let u be j(6). Suppose n - 5 = -u*q, -4*q - n + 6 = n. Factor 0*s**q - 2/5*s**4 + 4/5*s**3 + 2/5 - 4/5*s.
-2*(s - 1)**3*(s + 1)/5
Suppose 3*u - 2 = -2*o, -2*o - 1 - 9 = -3*u. Let j(x) be the second derivative of -1/6*x**4 + 0 - x**u + 2*x - 2/3*x**3. Factor j(c).
-2*(c + 1)**2
Let o(n) be the third derivative of -n**7/42 - n**6/12 + n**5/4 + 5*n**4/3 + 10*n**3/3 - 2*n**2. Factor o(i).
-5*(i - 2)*(i + 1)**2*(i + 2)
Let v(s) be the first derivative of -2*s**5/25 - s**4/10 + 2*s**3/15 + s**2/5 - 10. Factor v(o).
-2*o*(o - 1)*(o + 1)**2/5
Let w(v) be the first derivative of -4/3*v**3 - 1/2*v**4 + v**2 + 4*v - 5. Find t, given that w(t) = 0.
-2, -1, 1
Let f(h) be the second derivative of -h**7/126 + 2*h**6/45 - h**5/10 + h**4/9 - h**3/18 - 10*h. Find l, given that f(l) = 0.
0, 1
Let t be 7/(-70)*-3*(-4)/(-3). Factor 0*g - t + 2/5*g**2.
2*(g - 1)*(g + 1)/5
Suppose 2*a - 5*d = -9, -4*a + 5*d - 3 = -0*a. Factor 