 6*r - 8. Let d(u) = s*q(u) + c(u). Solve d(o) = 0 for o.
-3, -1, 0, 1
Let f = 138 - 138. Let a(c) be the first derivative of 2/3*c**3 + 0*c**2 - c**4 - 4 + f*c. Let a(h) = 0. Calculate h.
0, 1/2
Let x be (-8345)/(-35) - (-1 - -3). Let m = -236 + x. Factor 2/7*h**2 + 0 + m*h**3 + 0*h + 1/7*h**4.
h**2*(h + 1)*(h + 2)/7
Let t be (28 + -27)*(69/21 + -3). Solve -t*n**2 - 8/7*n + 10/7 = 0 for n.
-5, 1
Suppose 4 = 5*w - j, 4*j + 20 - 4 = -3*w. Let b(f) be the second derivative of w - f - 1/42*f**4 + 1/7*f**2 + 1/70*f**5 - 1/21*f**3. Factor b(u).
2*(u - 1)**2*(u + 1)/7
Let a(y) be the first derivative of -6/7*y**2 + 10 + 1/21*y**3 + 36/7*y. Let a(u) = 0. Calculate u.
6
Suppose 2*d + t + 8 = 6*d, 5*t = 3*d - 6. Suppose 1 - 2*q**3 - 4 - 2*q**3 + q**3 - 9*q**d - 9*q = 0. What is q?
-1
Suppose -2*c + 21 = 3*g + 2*c, 0 = 4*g - 3*c - 3. Let p be (g/2)/((-15)/(-40)). Factor -18*n - 6 - p*n**2 - 9*n - 17*n**2.
-3*(n + 1)*(7*n + 2)
Factor 0 - 1/9*n**2 + 2/9*n**3 + 0*n - 1/9*n**4.
-n**2*(n - 1)**2/9
Let g(s) = 3*s**2 + 3*s. Let a(d) = -2*d**2 - 2*d. Let f(p) = p + 5. Let j be f(-9). Let k(b) = j*g(b) - 5*a(b). Factor k(x).
-2*x*(x + 1)
Solve -336/5*i + 66/5*i**4 + 394/5*i**2 - 72/5 + 364/5*i**3 = 0 for i.
-3, -2/11, 2/3
Suppose 2*l = a + 3*a + 10, 2*l + 3*a - 3 = 0. Solve 32 + 18*n**2 + 56*n - 3*n**2 - l*n**2 = 0 for n.
-4, -2/3
Suppose -7*s - 8 = -2*y - 4*s, 0 = 4*y - 3*s - 22. Solve 2*w - 5*w - y*w**2 + 5*w**2 - w**2 = 0.
-1, 0
Suppose -1113 = -5*r + 5887. What is l in 9 - 500*l**4 - 297*l - 1440*l**2 - r*l**3 - 117 + 328*l - 679*l = 0?
-1, -3/5
Let x be -1 - -1 - 6135/(-63)*-3. Let l = x + 293. Factor -l*v + 3/7*v**2 - 9/7.
3*(v - 3)*(v + 1)/7
Let f(o) be the first derivative of 4/7*o**2 + 0*o - 12/7*o**5 - 16/7*o**3 + 43/14*o**4 + 1/3*o**6 - 7. Let f(c) = 0. Calculate c.
0, 2/7, 1, 2
Let x(l) be the third derivative of -3*l**5/20 - l**4/8 - 54*l**2. Factor x(u).
-3*u*(3*u + 1)
Let k = -19 + 39. Suppose 3*t = k + 10. Factor 8 + 10 + 0*g**3 + t*g + 32*g + 6*g**3 - 34*g**2.
2*(g - 3)**2*(3*g + 1)
Let i(y) = y**3 - 2*y**2 + 2*y + 1. Let a be i(2). Let p = a + -1. Suppose -o**4 - 4 + 3*o**2 - 2 + p + o**3 - o = 0. Calculate o.
-1, 1, 2
Let g(l) = -29*l + 1452. Let w be g(50). Let 33/4*t + 9/2*t**3 - 9/4 - 21/2*t**w + 3/4*t**4 - 3/4*t**5 = 0. What is t?
-3, 1
Let g(i) be the second derivative of 4/3*i**3 + 0 - 1/6*i**5 + 2*i**2 - 5*i - 2/3*i**4. Let u(p) be the first derivative of g(p). Find t, given that u(t) = 0.
-2, 2/5
Let g(m) = -m - 2*m**2 - 4*m + m. Let q(o) = o**2 + o. Let p(r) = -2*g(r) - 6*q(r). Factor p(a).
-2*a*(a - 1)
Suppose 183*u + 297*u**2 + 281*u**2 + 13 + 19 - 455*u = 0. What is u?
4/17
Let d be 52/(-65)*19 - -16. Factor -6/5*p**3 - d*p**2 - 2/5*p**4 + 0*p + 0.
-2*p**2*(p + 1)*(p + 2)/5
Let j(d) = -d**3 + 14*d - 11. Let b(u) = -u**3 + 15*u - 12. Let s(r) = -2*b(r) + 3*j(r). Let x(l) be the first derivative of s(l). Factor x(k).
-3*(k - 2)*(k + 2)
Let j = 138 + -1748/13. Let r = j - 112/39. Solve 0*x**2 + 0*x**4 + 0 + 1/3*x**5 + 1/3*x - r*x**3 = 0 for x.
-1, 0, 1
Let n(x) be the third derivative of x**9/4536 - x**8/2520 - x**7/630 - 28*x**3/3 - 40*x**2. Let b(c) be the first derivative of n(c). Factor b(l).
2*l**3*(l - 2)*(l + 1)/3
Suppose 16 = x - 11. Suppose -5*u = 4*n - 21, -n + 0*u = -4*u. Solve 24 - r**2 - 3*r - r**3 - x + n*r**3 + 4*r**2 = 0.
-1, 1
Factor -11/2*i**2 - 1/4*i**3 + 0 + 0*i.
-i**2*(i + 22)/4
Let l = 1643/30 - 109/2. Let n(k) be the third derivative of 4*k**2 + 0 - 2/3*k**3 + 0*k - 5/6*k**4 - l*k**5. Factor n(x).
-4*(x + 1)*(4*x + 1)
Solve -1 - 2*z - 13*z - 6*z**3 - 10 - 11*z - 2*z - 23*z**2 = 0.
-11/6, -1
Let n(u) be the first derivative of -u**7/280 + 7*u**6/120 - 2*u**5/5 + 3*u**4/2 + 8*u**3/3 + 4. Let k(c) be the third derivative of n(c). Factor k(o).
-3*(o - 3)*(o - 2)**2
Let -3/4*q + 9/8*q**3 + 3/8*q**2 + 0 - 3/8*q**4 - 3/8*q**5 = 0. What is q?
-2, -1, 0, 1
Suppose 35/3*l**3 - 5*l + 0 - 5/3*l**2 + 25/3*l**4 = 0. What is l?
-1, 0, 3/5
Let d be (-5)/(-10) - 10/(-4). Factor 3*a + 2*a**d - 9*a - 2*a**5 + 5*a + a**5.
-a*(a - 1)**2*(a + 1)**2
Let f(h) be the third derivative of 0*h**4 + 2*h**2 - 1/480*h**5 - 1/960*h**6 + 0 + 0*h + 0*h**3. Factor f(i).
-i**2*(i + 1)/8
Let b(q) = -q**2 + 9*q - 4. Let a be b(5). Suppose 1 - a = -5*c. Factor -13 - 2*i**4 - i**5 + c*i**5 - 4*i**3 + 13.
2*i**3*(i - 2)*(i + 1)
Let j(z) be the second derivative of 0*z**2 + 0 + 13*z + 0*z**3 + 1/75*z**6 + 3/50*z**5 + 1/15*z**4. Determine b, given that j(b) = 0.
-2, -1, 0
Find u such that -5021 - 89 - 4138 - 12679*u - 2*u**3 + 3159*u - 6*u**2 - 268*u**2 = 0.
-68, -1
Factor -24/5 + 24/5*j**2 - 18*j.
6*(j - 4)*(4*j + 1)/5
Let l(m) = -14*m - 77. Let p be l(-6). Let s(a) be the third derivative of 0 + 0*a + 8*a**2 - a**3 - 1/40*a**6 - 3/20*a**5 + 1/70*a**p + 5/8*a**4. Factor s(h).
3*(h - 1)**3*(h + 2)
Let k be (-4)/6 + (3936/18)/(-8). Let o be (5/12)/5 - 7/k. Factor 0*g**3 + 2/3*g**2 - 2/3*g**4 - 1/3*g**5 + 0 + o*g.
-g*(g - 1)*(g + 1)**3/3
Let w(r) be the third derivative of -r**5/48 + 695*r**4/48 - 96605*r**3/24 - 110*r**2 - 2*r. Factor w(v).
-5*(v - 139)**2/4
Let y(r) = -5*r**2 - 5*r + 2. Suppose 67*p + 6 = 69*p. Let v(m) = -6*m**2 - 6*m + 3. Let h(b) = p*y(b) - 2*v(b). What is o in h(o) = 0?
-1, 0
Suppose 21*l = 22*l - 3. Suppose 4*q - 3 - 13 = 0. Factor 30*x**3 + 21*x**2 + 20*x - 59*x**l - 7*x**4 + q + 27*x**3.
-(x - 2)*(x + 1)**2*(7*x + 2)
Let s(x) be the second derivative of -x**6/15 - 7*x**5/10 - 3*x**4 - 20*x**3/3 - 8*x**2 + 2*x + 5. Factor s(p).
-2*(p + 1)*(p + 2)**3
Let d(p) be the first derivative of p**7/700 + p**6/450 - p**5/100 - p**4/30 - 17*p**3/3 - 16. Let v(t) be the third derivative of d(t). Factor v(l).
2*(l - 1)*(l + 1)*(3*l + 2)/5
Let v be -3*((2 - 0) + -3). Suppose -d + v*d - 4 = 0. Factor z**2 + 0*z**d + 25 - 16 - 6*z.
(z - 3)**2
Let b be (10/(-6))/(50/120*-1). Suppose 30*z**3 + 0 - 25*z**b + 8/5*z - 12*z**2 = 0. What is z?
0, 2/5
Suppose 29 + 7 = 9*y. Let l(r) be the second derivative of 0 - y*r + 4/33*r**3 - 3/11*r**2 - 1/66*r**4. Factor l(v).
-2*(v - 3)*(v - 1)/11
Let z = 79 - 83. Let o = -1 - z. Determine m so that 2/9*m + 2/9*m**o - 4/9*m**2 + 0 = 0.
0, 1
Let g be -4 - 56/(-32)*4. Suppose j - 5 = -3. Find k, given that -6/7*k**j - 2/7 + 6/7*k + 2/7*k**g = 0.
1
Let c = -91 - -175. Let x = c + -81. Suppose 0 + 10/9*y**2 - 2/9*y**4 + 4/9*y - 2/9*y**5 + 2/3*y**x = 0. What is y?
-1, 0, 2
Let v(h) = h + 10. Let r be v(-4). Let q be 3/1 + r + -8. Factor 2*w**2 + w**3 - 2*w - 6 + w + q + 3.
(w - 1)*(w + 1)*(w + 2)
Suppose -z + 5*r - 6 - 2 = 0, 10 = z + 4*r. Factor 47*l**3 + 119*l**3 - 360*l**z + 4*l**5 - 108 - 44*l**4 + 324*l + 18*l**3.
4*(l - 3)**3*(l - 1)**2
Let u be (-6)/3 - (21/14)/(24/(-64)). Determine b so that 76/5*b**2 + 128/5*b + u*b**3 - 64/5 = 0.
-4, 2/5
Let o be (((-40)/(-10) - 5) + 0)/((-1)/3). Factor -2/7*t**o + 0*t + 6/7*t**2 - 8/7.
-2*(t - 2)**2*(t + 1)/7
Let h be ((-66)/(-18))/(3/18). Suppose -2 + h = 4*w, -3*q - 4 = -2*w. Factor 3/7 + 6/7*j + 3/7*j**q.
3*(j + 1)**2/7
Let r be (-6)/21 + 23/7. Suppose -3*u + r = -0. Let x(f) = 3*f**3 - 2*f**2 + 7*f + 2. Let b(v) = v**3 + v. Let j(n) = u*x(n) - 5*b(n). Factor j(z).
-2*(z - 1)*(z + 1)**2
Let k(f) be the third derivative of f**8/4200 + 4*f**7/2625 - f**6/300 - 128*f**2 - 2*f. Factor k(u).
2*u**3*(u - 1)*(u + 5)/25
Suppose -41*p - 101*p + 120 = -164. Factor 2/5*n - n**p + 0.
-n*(5*n - 2)/5
Factor -80*t + 27*t**2 + 70 - 72*t - 63*t - 12*t**2.
5*(t - 14)*(3*t - 1)
Let x = 11027/2 - 5512. Factor 3/2*c**2 - x*c**3 + 3/2*c - 3/2*c**4 + 0.
-3*c*(c - 1)*(c + 1)**2/2
Suppose -4*p - 5 = -9*p. Suppose -w - h = -5 + p, -2*w + 5*h + 1 = 0. Suppose 0 + 2/5*v**2 + 1/5*v**w + 1/5*v = 0. Calculate v.
-1, 0
Let u(x) be the third derivative of -1/4*x**4 + 2*x**2 + 1/30*x**5 + 0 + 0*x**3 + 2*x. Factor u(a).
2*a*(a - 3)
Let d(b) be the first derivative of -9*b**4/4 - 56*b**3/3 - 93*b**2/2 - 18*b - 114. Find z such that d(z) = 0.
-3, -2/9
Let z(i) be the second derivative of 16/135*i**6 + 17*i + 0*i**3 - 1/27*i**4 + 0 + 0*i**2 + 1/21*i**7 + 1/18*i**5. Factor z(c).
2*c**2*(c + 1)**2*(9*c - 2)/9
Let o(p) be the third derivative of 2/7*p**3 + 5/28*p**4 + 2/35*p**5 + 0*p + 0 + 1/140*p**6 - 3*p**2. Determine c, given that o(c) = 0.
-2, -1
Let l(d) be the first derivative of d**3/2 - 15*d**2/4 - 2