2 + 0*z**3 - 3 - 10*z. Suppose u(j) = 0. Calculate j.
-2, 1
Let b(s) = 15*s**4 - 18*s**3 + 19*s**2 - 2*s + 6. Let n(u) = u**4 + u**3 + u**2 + 1. Let r(o) = 5*b(o) - 30*n(o). Factor r(i).
5*i*(i - 2)*(3*i - 1)**2
Determine m, given that m**2 + 3*m**2 - 600*m + 18950 + 3550 = 0.
75
Let g(w) be the second derivative of 5/36*w**4 + 0 + 26*w - 1/60*w**5 - 4/9*w**3 + 2/3*w**2. Determine i, given that g(i) = 0.
1, 2
Let x(o) = 4*o**4 + 24*o**3 - 8*o**2 + 8*o - 16. Let i(z) = -z**2 + z - 2. Let k(u) = -8*i(u) + x(u). Factor k(a).
4*a**3*(a + 6)
Factor -3*u**5 + 2*u**2 + 4*u**4 + 8*u**5 - 5*u**3 - 6*u**5.
-u**2*(u - 2)*(u - 1)**2
Let m(j) be the third derivative of -27*j**2 + 0*j**4 + 0*j**3 + 0 + 0*j - 1/180*j**5. Factor m(p).
-p**2/3
Let m(b) be the first derivative of -1/33*b**3 + 1/11*b - 1/44*b**4 + 1/22*b**2 + 25. Factor m(p).
-(p - 1)*(p + 1)**2/11
Factor -44/3*j - 2/9*j**2 - 242.
-2*(j + 33)**2/9
Let o(h) be the second derivative of 3*h**5/20 + 6*h**4 + 117*h**3/2 - 507*h**2 + 112*h. Suppose o(f) = 0. What is f?
-13, 2
Factor 190/7*m + 2/7*m**3 + 14*m**2 + 94/7.
2*(m + 1)**2*(m + 47)/7
Let t(k) be the second derivative of k**4/30 + 2*k**3/5 + 9*k**2/5 - 218*k. Suppose t(z) = 0. Calculate z.
-3
Suppose -4*a + 2*a = 4*c - 46, 5*a + 67 = 4*c. Suppose 17 + c = 5*v + 2*z, -3*z = -v - 11. Factor 4*t**4 - 7*t**v - 8*t**3 + 0*t**3 - t**4 + 4*t**5.
4*t**3*(t - 2)*(t + 1)
Let h(z) = -z**3 + 4*z**2 - 2*z + 2. Let j be h(4). Let p be (-8)/j*(-18)/(-8). Factor -2/3*g**p + 1/3 - 1/3*g**4 + 2/3*g + 0*g**2.
-(g - 1)*(g + 1)**3/3
Factor -176242250*t**3 - 10680*t + 1034088*t**2 + 4 + 12 + 9 + 1342212*t**2 - 9.
-2*(445*t - 2)**3
Let p = -1779 - -8927/5. Factor 16/5*h - p*h**2 + 4*h**3 - 4/5*h**4 + 0.
-4*h*(h - 2)**2*(h - 1)/5
Let i = 4234/1581 - 6/527. Let f(a) be the first derivative of -i*a**3 - 2*a**2 + 8/5*a**5 + 0*a + 2/3*a**6 - 9 + 0*a**4. What is c in f(c) = 0?
-1, 0, 1
Let m(d) be the second derivative of d**5/390 + 2*d**4/39 + 16*d**3/39 + 3*d**2 + 19*d. Let n(v) be the first derivative of m(v). Factor n(f).
2*(f + 4)**2/13
Let t = -21 + 26. What is x in -2*x**3 + 30*x + t*x**3 - 3*x + 18*x**2 = 0?
-3, 0
Let l(i) be the second derivative of i**5/10 - i**4/3 - 8*i**3/3 + 41*i. Let l(g) = 0. What is g?
-2, 0, 4
Suppose 17*y - 3*u = 13*y - 15, 10 = 2*y + 2*u. Let t(r) be the second derivative of 1/2*r**2 + 1/6*r**4 - r + y + 1/40*r**5 + 5/12*r**3. Solve t(v) = 0 for v.
-2, -1
Let k = 26 - -10. Let l = k - 33. Factor 0 - 1/2*u**l + 0*u + 1/2*u**2.
-u**2*(u - 1)/2
Let k(n) be the first derivative of -n**7/70 - 3*n**6/40 - n**5/20 + 3*n**4/8 + n**3 - 11*n**2/2 - 11. Let o(u) be the second derivative of k(u). Factor o(p).
-3*(p - 1)*(p + 1)**2*(p + 2)
Let u be ((-60)/56 - -1)*(-28)/8. Suppose 2*c + 5*v - 7 = 2*v, c - 5 = -3*v. Suppose g**5 + 11/2*g**c + 17/4*g**4 + u + 7*g**3 + 2*g = 0. Calculate g.
-1, -1/4
Let b = -5 + 4. Let j be b/3 - (-14)/6. Find x such that 4*x**2 - 3 - 8*x**2 - 3*x + 4*x**j + 3*x**2 + 3*x**3 = 0.
-1, 1
Suppose 444 = 20*m + 384. Factor -6*i**m - 3 - 25/2*i + 5/2*i**5 - 17*i**2 + 4*i**4.
(i - 2)*(i + 1)**3*(5*i + 3)/2
Determine q, given that q**2 - 2 + q - 8*q + 26*q + 9 - 11*q = 0.
-7, -1
Suppose 0 = -2*g - x + 17, g + 14 = 3*g + 2*x. Factor -2*r**3 + 11*r**2 - g*r**2 + r**4 + 0*r**2.
r**2*(r - 1)**2
Let p(o) be the second derivative of -o**4/12 - 5*o**3/3 - 9*o**2/2 - 2*o + 10. Factor p(v).
-(v + 1)*(v + 9)
Suppose 573 = 3*v - 3*h, -285 = -v - h - 98. Let i be 21/v + 4/18. Factor i*u - 1/3*u**3 - 1/6*u**4 + 0*u**2 + 1/6.
-(u - 1)*(u + 1)**3/6
Factor 0 + 1/8*z**2 + 3/4*z.
z*(z + 6)/8
Let q(r) be the second derivative of -7*r**8/2560 + r**7/192 + 13*r**6/1920 + r**5/320 + 5*r**4/6 - 15*r. Let d(t) be the third derivative of q(t). Factor d(n).
-3*(n - 1)*(7*n + 1)**2/8
Let c(h) be the third derivative of -1/280*h**7 + 7/24*h**4 + 17/480*h**6 - 1/3*h**3 + 0*h + 0 - 13*h**2 - 17/120*h**5. Suppose c(g) = 0. What is g?
2/3, 1, 2
Let n(y) be the second derivative of -2/21*y**3 - 1/42*y**4 + 3/7*y**2 + 0 - 2*y. Find o such that n(o) = 0.
-3, 1
Find h such that 113 + 4*h**3 - 6*h**3 + 111*h**2 - 88*h - 84*h - 53*h + 3*h**3 = 0.
-113, 1
Let g = 49 + -49. Let i(h) be the third derivative of -5*h**2 - 1/1176*h**8 + 0*h**3 + 1/420*h**6 + 0*h + 0 + 0*h**5 + 0*h**4 + g*h**7. Factor i(o).
-2*o**3*(o - 1)*(o + 1)/7
Let x be 6/(-20)*(-8)/3. Let w be ((-2)/(-3))/((-20)/(-36)). Factor -1/5*a**4 - w*a**2 - a**3 + x*a + 8/5.
-(a - 1)*(a + 2)**3/5
Suppose 4 = -5*s + 7*s. Suppose 4*v = -s*i - 3*i + 2, 5*i - 5 = -5*v. Solve -3*x - 2 + 7*x**2 + 0*x**2 - x**2 + v*x**3 - 4 = 0 for x.
-2, -1, 1
Let n be (-4)/((-20)/(-15))*3/(-90). Let h(y) be the third derivative of -4*y**2 - n*y**4 + 3/10*y**3 + 0 + 1/100*y**5 + 0*y. Let h(z) = 0. Calculate z.
1, 3
Let l(p) be the third derivative of p**5/20 - 9*p**4/8 - 15*p**2. Find d, given that l(d) = 0.
0, 9
Solve -45/8 + 1/8*d**3 - 47/8*d**2 + 91/8*d = 0.
1, 45
Suppose 0*x + x - 2 = 0. Suppose 4*f + f = -4*f. Factor -1/5*j**x + 1/5*j**3 + 0*j + f.
j**2*(j - 1)/5
Factor 40*o**3 + 172*o**4 + 25*o**2 - 84*o**4 - 73*o**4.
5*o**2*(o + 1)*(3*o + 5)
Factor -2/5*y**2 - 96/5*y + 98/5.
-2*(y - 1)*(y + 49)/5
Suppose -m + t = 2, 5*m + 15 = -5*t + 5. Let n = 7/3 + m. Factor 1/3*w + 0 + n*w**2.
w*(w + 1)/3
Let h(n) = 11*n**4 + 17*n**3 + 8*n**2 - 2*n + 2. Let f(x) = 15*x - 129*x**2 + 31*x - 177*x**4 - 33 - 13*x - 273*x**3. Let y(m) = -2*f(m) - 33*h(m). Factor y(o).
-3*o**2*(o + 1)*(3*o + 2)
Solve -2/9*t**3 + 0*t**2 + 0*t + 0 - 2/9*t**4 = 0.
-1, 0
Let n(d) be the third derivative of -d**6/600 + d**5/150 - d**4/120 + 288*d**2. Factor n(q).
-q*(q - 1)**2/5
Let o be -5 - -5 - -6*1. Let u(t) be the second derivative of 1/10*t**2 - 2/75*t**o - 11/100*t**5 - 1/30*t**3 - 3/20*t**4 + 0 + 3*t. Factor u(k).
-(k + 1)**3*(4*k - 1)/5
Let c(d) be the third derivative of -d**6/120 - d**5/60 - d**4/24 - 9*d**2. Let l(m) = 20*m**3 + 22*m**2 + 22*m. Let x(i) = 44*c(i) + 2*l(i). Factor x(s).
-4*s**3
Let y be (638/(-22))/(-87)*(-3)/(-2). Factor -1/2*l - y + 1/2*l**3 + 1/2*l**2.
(l - 1)*(l + 1)**2/2
Let f(t) be the first derivative of -t**9/5040 - t**8/1400 + t**6/300 + t**5/200 - t**3/3 - 7. Let i(n) be the third derivative of f(n). Factor i(o).
-3*o*(o - 1)*(o + 1)**3/5
Let o = 135 + -133. Let z be o/(-1) + 52*(-3)/(-42). Factor -3/7*i**3 - 12/7*i + 0 + z*i**2.
-3*i*(i - 2)**2/7
What is r in -40*r**3 + 10 - 155/3*r + 245/3*r**2 = 0?
3/8, 2/3, 1
Suppose 15*l = 16*l - 6. Let u be (-3)/l + (-82)/(-4). Factor -u*m**2 + 5*m**3 + 3*m + 17*m - 5*m.
5*m*(m - 3)*(m - 1)
Factor 70/3 - 25/3*z - 5/3*z**2.
-5*(z - 2)*(z + 7)/3
Let c be (6/(-60))/(8/(-110)). Let l(s) be the second derivative of 2*s + 1/12*s**4 + c*s**6 - 3/5*s**5 + 0 + 0*s**2 - 121/168*s**7 + 0*s**3. Factor l(y).
-y**2*(y - 1)*(11*y - 2)**2/4
Let c = -27 - -29. Solve 48*l**c - 64*l**3 + 1 + 88*l**3 - 1 + 3*l**4 = 0.
-4, 0
Find z such that -50/7*z**2 + 0*z + 8/7 = 0.
-2/5, 2/5
Let b(m) = m**3 - m**2 - m + 1. Let f(n) = 7*n**3 - 2*n**2 - 3*n + 4. Let q(x) = 4*b(x) - f(x). Let p be q(-1). Solve 2*c**p + 0 - 1/2*c**3 - 2*c = 0.
0, 2
Let k(c) be the first derivative of -1 - 3/5*c**5 + 0*c**2 + c**3 + 0*c + 0*c**4. Factor k(i).
-3*i**2*(i - 1)*(i + 1)
Let r(z) be the second derivative of z**5/12 + 7*z**4/24 + z**3/3 + 31*z**2/2 - 31*z. Let n(c) be the first derivative of r(c). Solve n(w) = 0 for w.
-1, -2/5
Suppose -5*w + 2*g = -9*w - 192, w = -4*g - 41. Let h be 4/14 + (-84)/w. Suppose -h*c**3 - 4*c**2 + 0*c**3 + 2*c**2 = 0. What is c?
-1, 0
Let x(v) = -2*v**2 + 37*v - 200. Let j(m) = -m. Suppose 0 = 34*g - 36*g - 2. Let q(r) = g*x(r) + 3*j(r). Solve q(y) = 0.
10
Solve -11/2*t**3 - 5/2*t**2 + 0 + 0*t - 7/2*t**4 - 1/2*t**5 = 0 for t.
-5, -1, 0
Let p = -9757 - -9757. Find w, given that -1/4*w**3 + 1/4*w**2 + p*w + 0 = 0.
0, 1
Let v(j) be the second derivative of j**8/8960 - j**7/1008 + j**6/720 + j**5/60 + 3*j**4/2 + 27*j. Let r(u) be the third derivative of v(u). Factor r(s).
(s - 2)**2*(3*s + 2)/4
Determine x, given that 35/2*x - 37/2*x**2 + 1 = 0.
-2/37, 1
Let o be (35/(-4))/(36/(-192)). Let n = o - 46. Factor -y**5 - 3*y**2 - n*y - 11/3*y**4 - 5*y**3 + 0.
-y*(y + 1)**3*(3*y + 2)/3
Determine h, given that 95 + 25 - 2425*h + 2540*h - 5*h**2 = 0.
-1, 24
Let u = 6/65 + 2452/195. Let a = -12 + u. Determine d, 