*4 - 1/20*l**6 - 1/84*l**8 - 6*l**2 + 0*l**3. Let h(j) = 0. Calculate j.
-1, 0, 1/2
Let s(z) be the second derivative of -20*z + 1/9*z**3 - 2/45*z**6 + 1/63*z**7 + 2/9*z**4 - 2/3*z**2 + 0 - 1/15*z**5. Find v such that s(v) = 0.
-1, 1, 2
Let x = 8613 + -43257/5. Let y = 40 + x. Factor -2*s**3 - 32/5*s + 34/5*s**2 + y.
-2*(s - 2)*(s - 1)*(5*s - 2)/5
Let u(h) be the third derivative of -1/42*h**6 + 0 - 12/7*h**3 + 5/7*h**4 - 1/735*h**7 + 2*h**2 - 5*h - 13/210*h**5. Factor u(y).
-2*(y - 1)**2*(y + 6)**2/7
Suppose 27*r - 64 = 71. Let u(m) be the third derivative of -7/32*m**4 + 0 + 0*m - 8*m**2 + 9/80*m**r - 1/32*m**6 + 1/280*m**7 + 1/4*m**3. Factor u(c).
3*(c - 2)*(c - 1)**3/4
Let p be (-3 + (-6)/(-3))/(-1). Let w be (-3)/p - 57/(-18). Solve -1/6*l + w*l**2 + 0 = 0 for l.
0, 1
Let m(j) be the second derivative of j**5/40 - 3*j**4/4 + 5*j**3 + 50*j**2 - j + 8. Determine r, given that m(r) = 0.
-2, 10
Let x = 24 + -22. Let k(l) = l + 1. Let o(r) = 196*r**4 + 476*r**3 + 72*r**2 - 178*r + 30. Let g(s) = x*k(s) + o(s). Let g(q) = 0. Calculate q.
-2, -1, 2/7
Let -72*d - 39*d**2 - 24*d**2 - 27 + 42*d**2 = 0. Calculate d.
-3, -3/7
Let j be ((-2)/(-1))/((-410)/(-41)). Factor -5*x**2 - j + 2*x.
-(5*x - 1)**2/5
Let y(j) be the first derivative of -27 + 8/9*j**3 + 1/12*j**4 - 2/3*j**2 - 8/15*j**5 + 0*j + 1/6*j**6. Let y(i) = 0. What is i?
-1, 0, 2/3, 1, 2
Let g(z) be the third derivative of 0*z**3 + 1/36*z**4 + 1/45*z**5 + 0*z + 1/180*z**6 - z**2 + 0. Determine h so that g(h) = 0.
-1, 0
Let b be 1*2/(-7)*7/(-1). Factor -o**4 - 3*o**3 + 0*o**b + 2*o**4 + o**2 - 5*o**2.
o**2*(o - 4)*(o + 1)
Let s(a) be the first derivative of a**4/4 - 59*a**3/3 + 81*a**2 - 162*a + 8. Let g(o) = -o**3 + 29*o**2 - 81*o + 81. Let c(i) = 5*g(i) + 2*s(i). Factor c(h).
-3*(h - 3)**3
Let j(g) be the third derivative of -4/3*g**3 - 28*g**2 + 0 + 0*g - 8/15*g**5 + 7/6*g**4 + 1/10*g**6. Factor j(t).
4*(t - 1)**2*(3*t - 2)
Let q(w) = 11*w**3 + 4*w**2 + 11*w - 6. Let r(o) = 155*o**3 + 55*o**2 + 155*o - 85. Suppose 6*y - 4*y - 12 = 0. Let t(a) = y*r(a) - 85*q(a). Solve t(c) = 0.
-1, 0
Let x(d) = 8*d**3 - 14*d**2 - 24*d + 9. Let a(n) = -n**3 + n**2 + 2*n - 1. Let u(r) = -18*a(r) - 2*x(r). Factor u(w).
2*w*(w + 2)*(w + 3)
Let f(w) be the second derivative of -2/21*w**3 + 3/70*w**5 + 0*w**2 + 14*w + 5/42*w**4 + 0. Factor f(d).
2*d*(d + 2)*(3*d - 1)/7
Suppose 5 - 5 = 16*k. Let q(x) be the third derivative of 0*x**4 + 0*x - 1/30*x**5 + k*x**3 + 0 + 5*x**2 + 1/20*x**6. Solve q(c) = 0 for c.
0, 1/3
Let q = 130 - 52. Let p = q + -388/5. Suppose -2/5 + 2/5*z**2 + 2/5*z - p*z**3 = 0. What is z?
-1, 1
Let w(d) be the second derivative of -d**4/28 - d**3/7 - 3*d**2/14 - 9*d + 2. Suppose w(o) = 0. Calculate o.
-1
Let m(n) be the first derivative of -n**5/20 - 11*n**4/16 + 7*n**3/6 + 3*n**2 - 501. Factor m(g).
-g*(g - 2)*(g + 1)*(g + 12)/4
Suppose 2*l - k = 3, 4*l - 15 = l - 2*k. Suppose -5*w + 1 = 6, -4*p + 11 = -l*w. Suppose -c**p - 4*c**2 + c**2 + 7*c**2 - 3 = 0. Calculate c.
-1, 1
Let b(s) be the third derivative of s**7/175 - s**6/75 - s**5/30 + s**4/30 + s**2 - 37. Let b(y) = 0. What is y?
-1, 0, 1/3, 2
Let p(x) be the third derivative of -14*x**7/15 + 21*x**6/5 - 109*x**5/15 + 6*x**4 - 8*x**3/3 - 177*x**2. Let p(v) = 0. What is v?
2/7, 1
Suppose -12*y = -5*o - 14*y + 4, 5*y = -4*o - 7. Let d = 1160/4109 - -2/587. Factor 1/7*g**o + d + 3/7*g.
(g + 1)*(g + 2)/7
Let h(c) be the second derivative of 0 + 9/2*c**2 + 1/12*c**4 - 6*c - c**3. Solve h(t) = 0 for t.
3
Let x(k) = -28*k**2 + 40*k + 12. Let y(m) = -m**2 + m + 1. Let s = 35 - 34. Let r(j) = s*x(j) - 24*y(j). What is b in r(b) = 0?
1, 3
Let m(q) = 73*q - 727. Let n be m(10). Let k(z) be the first derivative of 0*z**4 + 0*z**2 + 2/45*z**5 + 0*z - 4 - 2/27*z**n. Factor k(h).
2*h**2*(h - 1)*(h + 1)/9
Let s(q) be the third derivative of -1/36*q**4 - 2/9*q**3 + 0 + 1/30*q**5 + 1/180*q**6 - 1/315*q**7 + 0*q + 12*q**2. Solve s(x) = 0.
-1, 1, 2
Let i(p) be the second derivative of 13*p - 2/15*p**6 + 0*p**2 + 2/3*p**3 + 1/3*p**4 - 1/5*p**5 + 0. Factor i(c).
-4*c*(c - 1)*(c + 1)**2
Factor -15*h**2 + 20 - 7*h**3 + 12*h**2 - 205*h + 229*h.
-(h - 2)*(h + 1)*(7*h + 10)
Find d, given that 0*d**2 + 48*d - 85*d + 5*d**2 + 42*d + 35*d = 0.
-8, 0
Let o(m) = -m**4 - m**3 + m**2 - m. Let g(a) = 2*a**4 + 36*a**3 + 130*a**2 - 48*a. Let h(z) = g(z) + 12*o(z). Suppose h(w) = 0. What is w?
-3, 0, 2/5, 5
Let x(s) be the second derivative of 2/51*s**3 + 0 + 27*s + 1/102*s**4 - 3/17*s**2. Factor x(z).
2*(z - 1)*(z + 3)/17
Let y(d) = d**2 - 27*d + 56. Let m(w) = -4*w**2 + 82*w - 168. Let n(o) = 6*m(o) + 20*y(o). What is r in n(r) = 0?
-14, 2
Let n = -1563 - -7817/5. Let t(v) be the first derivative of -1/3*v**6 - v**2 - 2*v - 7 + 4/3*v**3 + v**4 - n*v**5. Factor t(r).
-2*(r - 1)**2*(r + 1)**3
Let p(u) = -2*u**2 + 9*u + 39. Let g(l) = 10*l**2 - 44*l - 194. Let k(h) = -3*g(h) - 14*p(h). Factor k(d).
-2*(d - 6)*(d + 3)
Let i be ((-4)/11)/((-6)/66). Let r(s) be the second derivative of -3/4*s**2 + 5/4*s**3 + 0 - 5*s - 1/2*s**i. Factor r(b).
-3*(b - 1)*(4*b - 1)/2
Let r be (-2)/7 - (-24)/84. Factor r - 882*v**2 + 3 + 881*v**2 - 2*v.
-(v - 1)*(v + 3)
Find t such that 27/4*t + 1/8*t**2 + 729/8 = 0.
-27
Suppose i - 12 = 50*r - 47*r, i + 5*r + 12 = 0. Solve 8/15*b - 16/3*b**4 + 16/15 - 116/15*b**2 + 14/15*b**5 + 158/15*b**i = 0.
-2/7, 1, 2
Suppose -2*i + 2 = 4. Let f(q) = q**2 + q + 1. Let x(b) = -2*b**3 - 6*b**2 - 4*b - 6. Let w(r) = i*x(r) - 6*f(r). Find c such that w(c) = 0.
-1, 0, 1
Let g = 38 + -25. Let i = 15 + g. Factor n**3 - 2*n**3 - i*n**2 + 0 + 25*n**2 + n + 3.
-(n - 1)*(n + 1)*(n + 3)
Let h = 8 - 6. Suppose 3*i = -12, 2*g + 4 = -i + 2. Determine v, given that -v**h - 3*v + 4*v + v - g = 0.
1
Let o be (-21)/(-2)*(10 - 7). Let q = -19 + o. Determine t so that q*t**3 + 12*t + 45/2*t**2 + 2 = 0.
-1, -2/5
Suppose 0 = 5*h - 26 + 16. Factor l**3 + l**3 - h*l**2 + 2*l**3 - 2*l**3 - 4*l.
2*l*(l - 2)*(l + 1)
Let n = 21 - 12. Suppose -3*j + n = 0, 2*k - 2*j = -k. Find d such that -6*d**4 + 6*d**4 - 2*d**2 + 2*d**4 - k*d**3 + 2*d**5 = 0.
-1, 0, 1
Let m be (-1 - (-8)/9)*(-162)/36. Factor m*l + 0 - 1/8*l**2.
-l*(l - 4)/8
Let q(f) = -5*f**4 + 14*f**3 - f**2 - 12*f - 4. Let t(w) = 14*w**4 - 40*w**3 + 4*w**2 + 36*w + 11. Let r(y) = -11*q(y) - 4*t(y). Factor r(z).
-z*(z - 4)*(z - 3)*(z + 1)
Factor 16*j**3 + 12*j**2 + 21*j**3 + 27*j**3 + 8*j - 60*j**3.
4*j*(j + 1)*(j + 2)
Let r(k) = -3*k - 27. Let g be r(-10). Solve -3*i**2 + 2*i**g + 2*i**2 - 3*i**2 = 0 for i.
0, 2
Let b(u) be the third derivative of -1/30*u**5 + 0*u + 0 + 0*u**4 - 1/210*u**7 - 20*u**2 + 0*u**3 + 1/40*u**6. Determine f, given that b(f) = 0.
0, 1, 2
Let a(x) = -x**3 + 2*x**2 - x + 1. Let d(k) = -2*k**3 + 12*k**2 - 10*k + 6. Let y(p) = -6*a(p) + d(p). Solve y(l) = 0 for l.
-1, 0, 1
Let l(s) be the second derivative of s**7/3360 - s**6/480 + 20*s**3/3 - 22*s. Let v(r) be the second derivative of l(r). Find k, given that v(k) = 0.
0, 3
Let o be 5064/2743 + (-1)/((-26)/4). Let h(d) be the first derivative of 4/9*d**o + 5/27*d**3 - 3 + 4/9*d + 1/36*d**4. Factor h(f).
(f + 1)*(f + 2)**2/9
Suppose 2*k = 4*v + 6, -3*k = -0*k + 5*v - 9. Let m(c) be the third derivative of 0*c + 1/180*c**5 + 3*c**2 + 0*c**k + 0 + 1/72*c**4. Find j such that m(j) = 0.
-1, 0
Factor -95*a + 25/3*a**3 + 110*a**2 - 70/3.
5*(a - 1)*(a + 14)*(5*a + 1)/3
Let m be ((-4)/2 + 0)/(2/(-5)). Let c(i) be the third derivative of 0*i**m + 4*i**2 + 0*i + 0*i**3 + 0 + 1/60*i**6 - 1/12*i**4. Determine h so that c(h) = 0.
-1, 0, 1
Let i = -270 + 280. Suppose -31 = -i*o - 31. Let 0 - 18/5*z**3 + o*z - 14/5*z**4 - 4/5*z**2 = 0. What is z?
-1, -2/7, 0
Let p be ((-847)/3)/(-7) + (1 - -1). Let g = 43 - p. Find j such that -2*j - g*j**5 + 0*j**4 + 4/3*j**2 - 4/3 + 8/3*j**3 = 0.
-1, 1, 2
Let p(a) = -9*a**4 + 6*a**3 - 6*a**2 - 6*a. Let z(y) = -4*y**4 - y**4 + y**3 + 0*y - y - y**2 + 4*y**4. Let r(c) = p(c) - 6*z(c). Suppose r(s) = 0. Calculate s.
0
Let p(w) be the third derivative of 0*w**3 + 0*w**6 + 1/30*w**5 - 1/315*w**7 + 0*w + 0 - 6*w**2 + 1/18*w**4. Factor p(l).
-2*l*(l - 2)*(l + 1)**2/3
Factor -68/5 + 18/5*w**2 + 302/5*w.
2*(w + 17)*(9*w - 2)/5
Let c(b) be the second derivative of 17*b + 0*b**2 + 1/20*b**5 - 1/2*b**3 + 0 - 1/6*b**4. Solve c(p) = 0 for p.
-1, 0, 3
Supp