. Calculate g.
0, 1
Let h(y) = -y**3 + 2*y**2 + 3*y + 3. Let f(t) = -2*t**3 - 5*t**2 - t - 7*t - 8 + 7*t**3 - 2*t**3. Let v(u) = -3*f(u) - 8*h(u). Solve v(p) = 0.
-1, 0
Let p(l) be the second derivative of l**5/60 + l**4/36 - 7*l**3/9 - 4*l**2 - 17*l + 7. Find s, given that p(s) = 0.
-3, -2, 4
Let k(l) = 6*l**4 - 16*l**3 + 94*l**2 + 126*l - 5. Let g(p) = 5*p**4 - 17*p**3 + 95*p**2 + 125*p - 4. Let r(m) = -5*g(m) + 4*k(m). Let r(s) = 0. Calculate s.
-1, 0, 11
Let w(x) = -8*x**4 - 8*x**3 - 6*x**2 + 26*x + 32. Let d(m) = -7*m**4 - 8*m**3 - 5*m**2 + 27*m + 32. Let t(p) = -6*d(p) + 5*w(p). Find f such that t(f) = 0.
-2, 2
Let q(s) be the second derivative of 0*s**2 - 8*s + 1/42*s**4 + 0*s**3 - 1/105*s**6 + 0 + 1/147*s**7 - 1/70*s**5. Find j such that q(j) = 0.
-1, 0, 1
Let y(t) be the second derivative of t**5/40 - 7*t**4/12 + 3*t + 13. Suppose y(l) = 0. Calculate l.
0, 14
Let m(n) be the first derivative of -n**5 - 45*n**4/4 - 125*n**3/3 - 135*n**2/2 - 50*n + 20. Factor m(d).
-5*(d + 1)**2*(d + 2)*(d + 5)
Factor 8/3 + 1/6*p**2 - 4/3*p.
(p - 4)**2/6
Let d(v) = 3*v**4 + 41*v**3 + 68*v**2 - 2*v - 2. Let x(k) = -2*k**4 - 39*k**3 - 67*k**2 + 3*k + 3. Let b(m) = -3*d(m) - 2*x(m). Factor b(n).
-5*n**2*(n + 2)*(n + 7)
Let s(m) be the second derivative of 5/48*m**3 - 3/8*m**2 + 1/96*m**4 + 0 - 8*m. Factor s(l).
(l - 1)*(l + 6)/8
Suppose 4*f + 0*f + 28 = 4*o, -2*f + 28 = 5*o. Let b be 4/(-6) - (-11 + o)/5. Factor 1/3 - b*y**2 + 0*y.
-(y - 1)*(y + 1)/3
Factor 108/5 - 3/5*i**3 + 9*i - 6/5*i**2.
-3*(i - 4)*(i + 3)**2/5
Let z(m) = 5*m**3 + 14*m**2 + 2*m + 2. Let y(u) = 12*u**3 + 28*u**2 + 5*u + 5. Let f(i) = -6*y(i) + 15*z(i). Factor f(c).
3*c**2*(c + 14)
Let f(k) = 3*k**2 + 13*k - 14. Let n be f(-7). Let m(d) = 4*d**2 + 1. Let v be m(3). Factor -4 - n*g**2 - v*g**2 - 12*g + 70*g**2.
-(3*g + 2)**2
Let w = -118 - -1183/10. Let l(y) be the second derivative of 0 - y - y**3 + w*y**5 - y**2 + 1/6*y**4. Factor l(u).
2*(u - 1)*(u + 1)*(3*u + 1)
Let d(k) be the second derivative of -k**4/4 + 5*k**3 - 27*k**2/2 - 13*k. Factor d(g).
-3*(g - 9)*(g - 1)
Let a(t) be the first derivative of -54*t**5/5 + 2289*t**4 - 1158218*t**3/9 - 259420*t**2/3 - 57800*t/3 - 612. Factor a(j).
-2*(j - 85)**2*(9*j + 2)**2/3
Factor -56*t + 33 - 4*t**2 + 89 + 6.
-4*(t - 2)*(t + 16)
Let j(c) = -c**2 + 1. Let l be j(2). Let x = 21 + -6. Let s(f) = -f**2 - 3*f + 3. Let i(r) = 1. Let k(u) = l*s(u) + x*i(u). Factor k(g).
3*(g + 1)*(g + 2)
Suppose 3*t + 20 = 5*s + 2, 2 = -2*t. Let x = s - 0. Factor 3*f**3 + f**4 + 0*f**2 - x*f**2 - 3*f**3 + 2*f.
f*(f - 1)**2*(f + 2)
Let m(p) be the first derivative of 0*p - 3/20*p**5 - 11 - 3/16*p**4 + 0*p**3 + 0*p**2. Factor m(w).
-3*w**3*(w + 1)/4
Let t be (459/(-60))/((-2)/(-4) - -1). Let v = t - -28/5. Factor 0 + v*x**2 - 1/4*x - 1/4*x**3.
-x*(x - 1)**2/4
Let s(b) = -b**3 - b**2 - b. Let j = 158 + -157. Let w(g) = g**3 + 15*g**2 - 15*g. Let t(h) = j*w(h) + 3*s(h). Factor t(n).
-2*n*(n - 3)**2
Let s(x) be the third derivative of 0*x**3 + 0 + 35*x**2 + 1/280*x**7 + 0*x**4 + 3/80*x**5 + 0*x + 1/40*x**6. Find z such that s(z) = 0.
-3, -1, 0
Let l(i) be the second derivative of -i**7/168 + i**6/10 - 9*i**5/16 + 25*i**4/24 - 277*i. Suppose l(x) = 0. What is x?
0, 2, 5
Let f = 87 + -259/3. Suppose -7 = 8*w - 15*w. Factor -f*c - w + 1/3*c**2.
(c - 3)*(c + 1)/3
Let y(i) be the second derivative of -i**7/6300 + i**5/900 - 7*i**3/6 - 7*i. Let w(c) be the second derivative of y(c). Factor w(n).
-2*n*(n - 1)*(n + 1)/15
Determine c so that 4/7*c**2 + 40/7 - 4*c = 0.
2, 5
Let r(a) be the first derivative of -a**4/12 + 7*a**3/9 + 20*a**2/3 + 44*a/3 - 32. Factor r(h).
-(h - 11)*(h + 2)**2/3
Factor -11*k**3 + 22*k**3 + 2*k**2 - 13*k**3 + 13 + 128*k - 141.
-2*(k - 8)*(k - 1)*(k + 8)
Determine d so that 8/7*d**3 + 0 + 5/7*d**4 + 0*d + 1/7*d**5 + 4/7*d**2 = 0.
-2, -1, 0
Let l(r) be the third derivative of 1/78*r**4 + 0*r + 10*r**2 + 0 - 1/1365*r**7 - 1/78*r**5 + 0*r**3 + 1/195*r**6. Solve l(i) = 0 for i.
0, 1, 2
Let c(m) = 8*m**2 + 65*m - 11. Let d(s) = s**2 + 8*s - 1. Let o(w) = -6*c(w) + 51*d(w). Factor o(q).
3*(q + 1)*(q + 5)
Let t be (1 + 0)/((-2)/(-26)). Let p = 15 - t. Let -u**3 + 3*u**5 + u**2 - u**5 - 2*u**4 - u**3 + u**p = 0. What is u?
-1, 0, 1
What is j in -7/4*j**2 + 7/4*j**4 + 9/4*j**3 + 0 - 2*j - 1/4*j**5 = 0?
-1, 0, 1, 8
Let a(j) be the first derivative of j**6/120 - j**5/30 - j**4/24 + j**3/3 - 8*j**2 + 17. Let d(v) be the second derivative of a(v). Let d(z) = 0. What is z?
-1, 1, 2
Let s = 4 + 3. Suppose -2*w + s*w = 25. Determine p, given that 2*p**4 - 4 + w*p**3 + 2*p**2 - 2*p**3 + 3*p**3 + p - 7*p = 0.
-2, -1, 1
Let o be (2/1)/(2838/(-1407) - -2). Let r = o + 118. Suppose -9/4*q**3 + 0*q + 0 - 9/4*q**4 - r*q**5 - 3/4*q**2 = 0. Calculate q.
-1, 0
Let l = 10100 - 50493/5. Let u = 21/25 - 6/25. Factor l*d - d**2 - u + 1/5*d**3.
(d - 3)*(d - 1)**2/5
Solve 39*y**2 - 32*y + 90*y**2 + 9*y**3 + 114 - 247*y + 27*y**2 = 0 for y.
-19, 2/3, 1
Let p be (10 - 4)*4/6. Let s(i) = -i**2 + 5*i + 1. Let v be s(p). Find g such that -9*g**4 - 4*g**5 + g**4 - g + 7*g**2 + g**2 + v*g = 0.
-1, 0, 1
Let u(v) be the third derivative of -v**7/420 + v**6/30 - 23*v**5/120 + 7*v**4/12 - v**3 + 8*v**2 - 3. Find f, given that u(f) = 0.
1, 2, 3
Suppose n - 12 = -3*v + 4*n, -5*v + 4*n + 18 = 0. Suppose 4*r - 2*f + 8 = v*f, 2*r - 16 = -2*f. Factor 4/3*p**4 + 0*p - 1/3*p**5 - 5/3*p**r + 0 + 2/3*p**2.
-p**2*(p - 2)*(p - 1)**2/3
Let i be 5/(-14)*2541/(-1210). Determine d, given that d**2 + 0 - 2*d + i*d**4 + 5/2*d**3 = 0.
-2, 0, 2/3
Let b(v) be the third derivative of 64*v**8/21 - 1216*v**7/105 + 46*v**6/3 - 241*v**5/30 + 13*v**4/6 - v**3/3 + 30*v**2. Factor b(q).
2*(q - 1)**2*(8*q - 1)**3
Let i(f) be the first derivative of -2*f**3/15 - f**2 - 8*f/5 + 28. Factor i(o).
-2*(o + 1)*(o + 4)/5
Let r(p) = 5*p**2 + 34*p + 21. Let h(t) = 70*t**2 + 475*t + 295. Let l(z) = -4*h(z) + 55*r(z). Find b, given that l(b) = 0.
-5, -1
Let u = -10 + 12. Factor -7*f**3 - 20*f**3 + 35*f**u - 9*f + 1 - 8*f**2.
-(3*f - 1)**3
Let x(q) be the third derivative of q**6/720 - q**5/120 + 19*q**3/6 - 5*q**2. Let d(v) be the first derivative of x(v). Let d(z) = 0. What is z?
0, 2
Determine u, given that 0 + 2/5*u**5 + 2/5*u**4 - 4/5*u**3 + 0*u + 0*u**2 = 0.
-2, 0, 1
Let s be 2 - ((-28)/4 - (2 + 1)). Suppose 5*i - i + 13*i**2 - 2*i - s*i**2 = 0. What is i?
-2, 0
Let c(v) be the second derivative of v**5/80 + v**4/2 + 8*v**3 + 11*v**2 - 4*v. Let h(s) be the first derivative of c(s). Factor h(p).
3*(p + 8)**2/4
Let d(r) be the second derivative of -r**6/80 - 9*r**5/80 - r**4/4 - 2*r - 75. Factor d(g).
-3*g**2*(g + 2)*(g + 4)/8
Suppose -24*o - 34 = -41*o. Let t(r) be the first derivative of -2/3*r**o - 2 + 2/27*r**3 + 2*r. Find i such that t(i) = 0.
3
Find a, given that 60*a**5 - 58887*a**2 - 15*a - 45*a**3 + 113*a**4 + 132*a**4 + 20 + 58622*a**2 = 0.
-4, -1, -1/3, 1/4, 1
Let b(d) = -d**2 + d. Let w(p) = 59*p**2 + 56*p**2 + p**3 - 116*p**2 - 3*p**4 + 2*p**4 + p. Let j be (3 + 2*-1)*1. Let g(t) = j*w(t) - b(t). Solve g(y) = 0.
0, 1
Factor -28/13*k**3 - 114/13*k**2 + 0 - 2/13*k**4 - 144/13*k.
-2*k*(k + 3)**2*(k + 8)/13
Let h(u) = 1. Let q(v) = 12*v**3 + 4*v**2 + 2. Let w be (2/(-5))/(2/10). Suppose 0*d - d + 2 = 0, -3*y + 13 = 5*d. Let k(l) = w*h(l) + y*q(l). Factor k(c).
4*c**2*(3*c + 1)
Let w(d) be the first derivative of 1/2*d**3 + 0*d + 1/80*d**6 - 1/20*d**5 - 2 - 7/2*d**2 - 1/16*d**4. Let n(s) be the second derivative of w(s). Factor n(r).
3*(r - 2)*(r - 1)*(r + 1)/2
Let g(p) = 15*p**4 + 36*p**3 + 24*p**2 + 6*p + 3. Let a(d) = -16*d**4 - 38*d**3 - 25*d**2 - 7*d - 4. Let m(c) = 6*a(c) + 7*g(c). Factor m(x).
3*(x + 1)**3*(3*x - 1)
Let x(g) be the first derivative of 0*g - 1/12*g**4 - 25 + 1/9*g**3 + 0*g**2. Factor x(b).
-b**2*(b - 1)/3
Let h = 28 - 24. Let p be 21/49 + (-1)/35. Factor -p*f**h + 0 - 2/5*f**3 + 2/5*f**5 + 2/5*f**2 + 0*f.
2*f**2*(f - 1)**2*(f + 1)/5
Let q(f) = -4*f**3 + f**2 + f - 1. Let m be q(-1). Let i be 14/(-12) + m*4/8. Solve i*n + 0 + 1/3*n**2 = 0.
-1, 0
What is g in 37*g**3 - 10*g**4 - 2*g**4 - 7*g - 183*g**2 + 173*g**2 + 6*g - 14*g**3 = 0?
-1/12, 0, 1
Let g be (-3)/(-5) - (-438)/(-30). Let y = 22 + g. Determine d, given that -8*d**2 + d + 4*d - d + y - 2*d**3 - 2*d**3 = 0.
-2, -1, 1
Suppose 7*p = 611 + 64