(z) + 16*x(z). Let f(w) = 0. Calculate w.
-1, 6
Suppose 0 = -w - 2*a + a + 14, -42 = -3*w - a. Let l be ((-7)/w)/(-1 - 1). Find v, given that 0 - 1/4*v**2 + 1/4*v**4 + 1/4*v**5 + 0*v - l*v**3 = 0.
-1, 0, 1
Let z be ((0 - 0) + 0)/((20 - 15) + -6). Determine x so that -1/5*x**2 + 0*x + z = 0.
0
Suppose 0 = 3*o - 4*j - 35 - 53, 3*j = -2*o + 36. Let g = -21 + o. Factor -85*l**3 - 4*l**2 + 43*l**g + 4*l**4 + 42*l**3.
4*l**2*(l - 1)*(l + 1)
Let g(f) be the second derivative of f**4/4 + 11*f**3/3 + 7*f**2/2 - 621*f. Factor g(x).
(x + 7)*(3*x + 1)
Let t(h) be the first derivative of -h**6/120 + h**5/15 - h**4/8 + h**2/2 + 7. Let u(y) be the second derivative of t(y). Find s, given that u(s) = 0.
0, 1, 3
Let o = -115348/221 + 6802/13. Factor -108/17 - o*z**3 - 2/17*z**4 - 162/17*z - 90/17*z**2.
-2*(z + 2)*(z + 3)**3/17
Let a be (4 + 12 + -10)/9. Factor -4/3*r**3 + a*r**5 + 0 + 0*r**2 + 2/3*r + 0*r**4.
2*r*(r - 1)**2*(r + 1)**2/3
Let h = -731 + 2198/3. Factor h*r + 5*r**2 + 0.
5*r*(3*r + 1)/3
Let k = -45 + 65. Suppose 2*y = 2*l + 2*l - k, 4 = -l + 5*y. Find s, given that 4*s + l - 2*s**3 - s**3 + 4*s + s = 0.
-1, 2
Find c such that -4/21 + 2/21*c**2 - 2/21*c = 0.
-1, 2
Solve 170/9*l**2 + 130/9*l**4 - 28/9*l - 88/3*l**3 + 0 - 8/9*l**5 = 0 for l.
0, 1/4, 1, 14
Let d be 2/16*36/9. Let g(a) be the second derivative of -4*a**6 - d*a**2 + 29/4*a**5 + 6/7*a**7 - 25/4*a**4 + 5/2*a**3 + 5*a + 0. Factor g(x).
(x - 1)**3*(6*x - 1)**2
Let d be 3 + -4 + 1028/12. Let f = d + -82. Factor 0 - f*o**2 + 2*o + 2/3*o**3.
2*o*(o - 3)*(o - 1)/3
Let u(c) = c**2 + 8*c - 3. Let k(a) = -2*a**2 - 14*a + 6. Let l(x) = -3*k(x) - 5*u(x). Factor l(g).
(g - 1)*(g + 3)
Let n = 3040 + -3038. Factor 4/5 + 8/5*g + 4/5*g**n.
4*(g + 1)**2/5
Let k(h) be the first derivative of -2*h**5/5 + 7*h**4/2 - 561. Find t, given that k(t) = 0.
0, 7
Let q(n) = -n**2 + 96*n - 538. Let g be q(6). Let i be -1*(-2)/(12/14). Find l, given that i*l**3 + 1/6*l**5 - l**4 - 8/3*l**g + 3/2*l - 1/3 = 0.
1, 2
Let b(y) = 8*y**2 - 4*y - 20. Let d(p) = -p**2 - 1. Let s(z) = -4*z + 28. Let n be s(6). Let l(g) = n*d(g) + b(g). Let l(j) = 0. What is j?
-2, 3
Solve -15*z**4 + 48*z**2 + 47*z**3 + 27*z - 19*z**2 - 6*z - 2 - 80*z**2 = 0 for z.
2/15, 1
Let m(z) be the third derivative of 16*z**2 + 0*z + 2/51*z**4 + 1/510*z**5 + 16/51*z**3 + 0. Factor m(q).
2*(q + 4)**2/17
Suppose 316/5*t**2 + 54/5*t**3 - 2/5*t**5 + 448/5*t - 8/5*t**4 + 192/5 = 0. Calculate t.
-4, -1, 6
Let r = 4167 + -4167. Factor 0*x**2 - 1/2*x**3 + r + 1/2*x.
-x*(x - 1)*(x + 1)/2
Suppose 3*v - 2*v - 9 = 0. Find n such that 46*n**3 + 18*n**4 + 14*n**2 + 2*n**5 - 32 + 21*n - v*n - 60*n = 0.
-4, -1, 1
Let z(q) = 4*q**4 + 60*q**3 - 116*q**2 + 134*q - 40. Let f(w) = -w**4 - 12*w**3 + 23*w**2 - 27*w + 8. Let g(k) = -28*f(k) - 6*z(k). Factor g(b).
4*(b - 2)**2*(b - 1)**2
Let j be ((-7)/1 + 4)/((-1)/1). Let 51 + 11*h**j + 74 + 90*h + 110*h - 51*h**3 + 30*h**2 + 5*h**4 = 0. Calculate h.
-1, 5
Suppose 3*z - 3*k + 27 = -0*k, -3*k + 15 = -2*z. Let n = 14 + z. Factor 2/5*h**5 + 0*h**n + 0*h + 0 + 2/5*h**3 - 4/5*h**4.
2*h**3*(h - 1)**2/5
Let b(a) be the second derivative of a**7/10080 + a**6/1440 + a**5/480 - a**4/12 - 13*a. Let g(l) be the third derivative of b(l). What is v in g(v) = 0?
-1
Factor 9/2 - 1/4*v**2 - 3/4*v.
-(v - 3)*(v + 6)/4
Let n be (((-20)/(-16))/5)/(36/288). Find t, given that -2/9*t - 4/9*t**4 + 8/9*t**3 + 0 + 4/9*t**n - 2/3*t**5 = 0.
-1, 0, 1/3, 1
Factor -9*c**2 - 9/4*c**3 + 1/4*c**4 + 12 - c.
(c - 12)*(c - 1)*(c + 2)**2/4
Let v(h) = 26*h**4 + 51*h**3 - 46*h**2. Let a(s) = -s**3 + 2*s**2. Let g(z) = 22*a(z) + 2*v(z). Let g(x) = 0. Calculate x.
-2, 0, 6/13
Let a be 3 + 224/52 - (-56)/(-8). Solve -2/13*b**2 - 2/13 + a*b = 0 for b.
1
Let l(o) be the first derivative of -o**4/4 - o**3 - 3*o**2/2 + 18*o + 11. Let m(s) be the first derivative of l(s). Factor m(x).
-3*(x + 1)**2
Let r(p) be the first derivative of 2*p**3/9 + 16*p**2/3 + 56*p/3 - 138. Factor r(j).
2*(j + 2)*(j + 14)/3
Let d(z) be the third derivative of -z**7/420 - z**6/96 + 7*z**5/80 - 19*z**4/96 + 5*z**3/24 + 6*z**2 - 2. Find v, given that d(v) = 0.
-5, 1/2, 1
Let p(t) be the second derivative of -t**5/30 - t**4/3 - t**3/3 + 10*t**2/3 + 16*t - 2. Let p(j) = 0. What is j?
-5, -2, 1
Let u = 2 - -2. Suppose -f + 10 = u*w, 5*f + 1 = 3*w + 5. Factor 2*c**3 - 3*c + 4*c - c - w*c.
2*c*(c - 1)*(c + 1)
Let h(c) be the third derivative of -1/480*c**6 - 7*c**2 + 0*c - 1/240*c**5 + 1/6*c**3 + 0 + 1/24*c**4. Factor h(s).
-(s - 2)*(s + 1)*(s + 2)/4
Determine m, given that -5/4*m**2 + 25/2 - 15/4*m = 0.
-5, 2
Let p = 39 + -33. Let s(a) = -a + 10. Let l be s(p). Let -2/5*y + 0 - 12/5*y**3 + 9/5*y**2 + 4/5*y**l = 0. Calculate y.
0, 1/2, 2
Let x = 79888/3 - 26629. Factor 0 + 0*l**3 + 0*l + 0*l**2 + 1/3*l**5 + x*l**4.
l**4*(l + 1)/3
Determine f so that -1/5*f**2 - 106/5 + 107/5*f = 0.
1, 106
Factor 1/2 - 3*g + 5/2*g**2.
(g - 1)*(5*g - 1)/2
Suppose 0 = -14*a + 19*a - 15. Factor -4*z**3 + 10*z**4 - z**5 + 6*z**a - 4*z**5 - 7*z**3.
-5*z**3*(z - 1)**2
Let v(z) = -z**3 + 8*z**2 - 7*z + 1. Let b be v(7). Let n = 1 + b. Find c, given that -2*c + 2*c**2 - c**n - 9 + 10 = 0.
1
Suppose f - 4*a + 3*a = 7, 5*f = -3*a + 19. Find u such that 0 + 0*u**2 - 2/3*u**3 + 0*u**4 + 1/3*u + 1/3*u**f = 0.
-1, 0, 1
Let y be (-2)/(-2) - -10*(-4)/280. Let a(j) be the first derivative of -2 - 1/7*j**3 - 3/14*j**2 + y*j. Let a(q) = 0. Calculate q.
-2, 1
Let x(r) be the second derivative of -r**8/1344 + r**7/84 + r**6/144 - r**5/4 - 3*r**4/2 - 34*r. Let z(c) be the third derivative of x(c). Factor z(g).
-5*(g - 6)*(g - 1)*(g + 1)
Let k(z) be the third derivative of 0 - 1/10*z**5 + 0*z**3 + 1/12*z**4 + 0*z - z**2. Suppose k(c) = 0. Calculate c.
0, 1/3
Let l = 56 - 53. Factor -n**5 - 305*n - 3*n**l - 4*n**2 + 4*n**4 + 3*n**3 - 2*n**3 + 308*n.
-n*(n - 3)*(n - 1)**2*(n + 1)
Let k(d) be the first derivative of d**3/30 + d**2/4 + 2*d/5 - 12. Let k(g) = 0. Calculate g.
-4, -1
Let o be 3/18 - (-8799)/(-90). Let r = 98 + o. Factor 0 + 4/5*t + r*t**2.
2*t*(t + 2)/5
Let a(y) = -12*y**4 - 2*y**3 + 25*y**2 - 51*y + 30. Let v(z) = -7*z**4 - 2*z**3 + 13*z**2 - 25*z + 15. Let g(n) = -3*a(n) + 5*v(n). Find c, given that g(c) = 0.
-3, 1, 5
Let r(l) = l**2 + l + 4. Let m be r(0). Suppose 2*n - 7*n = -f + 12, -3*n = -3*f + 12. Find o such that -o - 3*o**4 + o**3 + 4*o**m + o**2 - f*o**4 = 0.
-1, 0, 1
Let u = -293 + 297. Let a(q) be the second derivative of q - 1/15*q**5 + 0*q**2 + 0 + 1/15*q**6 - 1/6*q**u + 2/9*q**3. Determine d so that a(d) = 0.
-1, 0, 2/3, 1
Let r = 5/4 - 1. Suppose 11 = 3*k - 5*s, 119*k + 8 = 121*k - 4*s. Factor -1/2*d**k + 0 - 1/4*d**3 - r*d.
-d*(d + 1)**2/4
Factor 0*o**2 - 2*o + 1/2*o**4 + 0 + 3/2*o**3.
o*(o - 1)*(o + 2)**2/2
Let l = -14766 + 14768. Solve 0 - 2/3*g**5 + 4/3*g**3 + 0*g + 0*g**l + 2/3*g**4 = 0 for g.
-1, 0, 2
Let l(f) be the first derivative of -3/4*f**4 + 0*f - 5/2*f**2 + 1/20*f**5 + 3 + 9/2*f**3. Let x(i) be the second derivative of l(i). Factor x(s).
3*(s - 3)**2
Suppose 0 = -2*f + 6, -2*q - f - 2 = -3*f. Suppose -h - m - m + q = 0, 4*m = -4. Find c, given that 11*c**2 - 5*c**2 - 8*c**2 + h*c - 2*c**2 = 0.
0, 1
Suppose -15 = -4*l + 5*o, 3*l + o + 5 = 21. Let k = -48 - -59. Factor -4*h**2 - k*h**5 + 8*h**l + 4*h**2.
-3*h**5
Let z be 240/75 + (-54)/(-30). Let o(r) be the first derivative of -5*r - z*r**3 - 9 - 5/4*r**4 - 15/2*r**2. Solve o(t) = 0.
-1
Suppose -8*q = -7*q - 11. What is v in -2*v + q*v - 6*v + 2*v - 35*v**2 = 0?
0, 1/7
Let x(n) = 5*n**2 + 93*n + 319. Let k(f) = 3*f**2 + 56*f + 191. Let v(d) = -17*k(d) + 10*x(d). Find u such that v(u) = 0.
-19, -3
Let f = -45 + 51. Let h(a) = a**2 - 7*a + 10. Let b be h(f). Factor 4/7*r**3 + 0 - 4/7*r - 2/7*r**2 + 2/7*r**b.
2*r*(r - 1)*(r + 1)*(r + 2)/7
Let u(r) = 4*r**4 - 2*r**3 + 16*r**2 + 7*r - 11. Let q(c) = -c**4 + c**3 - 5*c**2 - 3*c + 4. Let j(o) = 21*q(o) + 6*u(o). Solve j(b) = 0.
-3, -2, 1
Factor 110 + 10 + 15*u**3 + 170*u**2 - 8*u**4 + 260*u - 12*u**4 - 5*u**5.
-5*(u - 3)*(u + 1)*(u + 2)**3
Let z(f) be the first derivative of f**7/700 - 17*f**6/1800 - f**5/120 + f**4/20 - 17*f**3/3 + 10. Let k(i) be the third derivative of z(i). Factor k(o).
(o - 3)*(2*o - 1)*(3*o + 2)/5
Let -3 - 40*j**2 - 2 + 70*j - 5 - 5 = 0. Calculate j.
1/4, 3/2
Let f(r) be the second der