ine x so that 140/13*x**2 - 126/13*x + 36/13 - 16/13*x**4 - 40/13*x**3 + 6/13*x**5 = 0.
-3, 2/3, 1, 3
Suppose -66*o = 175*o. Solve 4/19*y**2 + 6/19*y**3 - 2/19*y + o = 0 for y.
-1, 0, 1/3
Let u(i) = 3*i**3 + 9*i**2 - 162*i + 2. Let y be u(-9). Factor -4*d**y - 4/3*d**3 + 0*d + 0.
-4*d**2*(d + 3)/3
Factor 2/7*w**2 - 72/7*w + 648/7.
2*(w - 18)**2/7
Let n(k) be the third derivative of -k**6/360 - k**5/60 - k**4/24 - 7*k**3/6 - 9*k**2. Let a(x) be the first derivative of n(x). Solve a(h) = 0.
-1
Suppose 5*q = -5*k + 50, -5*q + 3*k = -q - 33. Let h be 3/2*-4*(-3)/q. Factor 9*j - 15/2*j**2 - h + 7/4*j**3.
(j - 2)**2*(7*j - 2)/4
Let b = -17 + 19. Suppose -2*j + 6*j - 2*a + b = 0, 3*j = -2*a + 16. Find o, given that -59*o**3 - 3 - 27*o + 11*o**j - 41*o**2 + 11*o**3 - 42*o**2 = 0.
-1, -1/4
Let c(h) = h**2 - 6*h - 3. Let l be c(6). Let s = 5 + l. Find u such that 5*u**4 - 5*u**2 - 2*u**3 - 3*u**2 + 3*u**2 + s*u = 0.
-1, 0, 2/5, 1
Suppose 203 + 109 = 3*t. Factor -35*h**3 + 3*h**4 - 16*h - t*h + 80*h**2 + 5*h**3 + 48 + 19*h**2.
3*(h - 4)**2*(h - 1)**2
Let z(a) be the second derivative of -a**5/100 - 11*a**4/60 - 13*a**3/15 - 8*a**2/5 + 183*a. Factor z(r).
-(r + 1)*(r + 2)*(r + 8)/5
Let l be (-3 + 0 + 5)*1. Let s(v) be the first derivative of 2/3*v + 7/6*v**l - 3 + 5/9*v**3. Factor s(f).
(f + 1)*(5*f + 2)/3
Let s(y) be the first derivative of -11*y**3/3 - 35*y**2/2 - 6*y + 18. Factor s(z).
-(z + 3)*(11*z + 2)
Let s(q) = -2*q**2 - 13*q + 3. Suppose 2*n = v + 10 + 5, 0 = n - 2*v - 9. Let m(t) = 1 - 6*t - t**2 - t**2 + t**2. Let b(f) = n*m(f) - 3*s(f). Factor b(g).
-(g + 1)*(g + 2)
Let h = -28 + 37. Let g = h + -5. Solve 2/5*u**3 + 4/5 - 6/5*u**2 - 2/5*u + 2/5*u**g = 0 for u.
-2, -1, 1
Let f = -50/29 - -279/145. Let t = 41/90 - 1/18. Factor -1/5*y**2 - f - t*y.
-(y + 1)**2/5
Let f be 6/27 - (-37)/(-180). Let k(a) be the third derivative of 5*a**2 - 1/36*a**4 - 1/360*a**6 + 0*a + 0 + 0*a**3 + f*a**5. Factor k(p).
-p*(p - 2)*(p - 1)/3
Let n(t) be the second derivative of 0*t**4 - 1/3*t**3 + 1/10*t**5 - 11*t - 1/2*t**2 + 1/30*t**6 + 0. Let n(z) = 0. Calculate z.
-1, 1
Suppose -3*k - 12 = -3*n, k - 28 + 8 = -5*n. Suppose -n*r + 45 + 43 = 0. Factor -15*s**2 + r*s - 5 - 7*s - 2 + 5*s**3 + 2.
5*(s - 1)**3
Let 1440*r**3 - 76827*r + 42768 - 261*r**2 + 3*r**5 + 109227*r + 9981*r**2 + 105*r**4 = 0. Calculate r.
-11, -6
Let j(q) be the second derivative of q**9/16632 + q**8/3080 + q**7/2310 + 23*q**3/6 + 35*q. Let y(l) be the second derivative of j(l). Factor y(k).
2*k**3*(k + 1)*(k + 2)/11
Let c(z) be the second derivative of z**6/30 + 39*z**5/80 + 9*z**4/8 - 2*z**3/3 - 831*z. Determine g so that c(g) = 0.
-8, -2, 0, 1/4
Let h(s) be the third derivative of -s**6/120 + s**5/10 + 15*s**2. Let y be h(6). Let 0 + 1/3*b**4 + 1/3*b**2 + 2/3*b**3 + y*b = 0. What is b?
-1, 0
Let v(w) be the first derivative of -w**6/120 + w**5/15 - w**4/8 + 2*w**2 + 8. Let l(n) be the second derivative of v(n). Suppose l(f) = 0. Calculate f.
0, 1, 3
Suppose 3*w + 19 = d, 0*d + 4*w + 12 = -2*d. Factor 3*f + 2*f - 25*f - d*f**2.
-4*f*(f + 5)
Let d(w) = 7*w**2 - 3*w - 5. Let t(x) = -6*x**2 + 2*x + 4. Let y(z) = -4*d(z) - 5*t(z). Determine b, given that y(b) = 0.
-1, 0
Let q = 8 - 5. Suppose 0 = -2*j + 5*v + 34, 4*j + 13 = q*j - 5*v. Let b**3 + 10*b + j*b - 7*b**2 - 9 + 0*b - 2*b = 0. What is b?
1, 3
Find q such that 18 - 1/4*q**3 + 7/2*q**2 + 17*q = 0.
-2, 18
Let i(r) be the first derivative of 4*r**3 - 16 - 126*r + 4*r**3 - 2*r - r**4. Let i(b) = 0. Calculate b.
-2, 4
Let b(t) = -t**3 - 10*t**2 - 2. Let g be b(-10). Let l(k) = k + 4. Let r be l(g). Determine m so that -18*m**3 + 16*m**2 - 15*m**r + 22*m + 23*m**2 + 4 = 0.
-1/3, 2
Let j(w) be the third derivative of w**5/210 + 5*w**4/7 + 300*w**3/7 - 189*w**2. Factor j(t).
2*(t + 30)**2/7
Let n be 1 + (-9 + 5)/(-12). Find h such that -h**5 + n*h - 4/3*h**2 + 0 + 10/3*h**4 - 7/3*h**3 = 0.
-2/3, 0, 1, 2
Suppose 0 = 2*u + 5*n + 23, -4*u - 4*n = n + 21. Let z(v) be the first derivative of 1/6*v**2 - u + 1/6*v - 1/6*v**3. Factor z(m).
-(m - 1)*(3*m + 1)/6
Let p(a) = 44*a**5 + 12*a**4 - 124*a**3 - 84*a**2 + 104*a. Let c(o) = 9*o**5 + 2*o**4 - 25*o**3 - 17*o**2 + 21*o. Let i(m) = -24*c(m) + 5*p(m). Factor i(n).
4*n*(n - 1)**2*(n + 1)*(n + 4)
Let x(t) be the first derivative of 1/15*t**2 + 0*t - 14 - 2/45*t**3. Let x(j) = 0. Calculate j.
0, 1
Let g be (-3)/(-12)*-2 - (-63)/182. Let k = 9/26 - g. Factor -3/2 + k*b**2 + b.
(b - 1)*(b + 3)/2
Let k(y) be the first derivative of 2*y - 1/6*y**2 - 1/9*y**3 + 12. Factor k(i).
-(i - 2)*(i + 3)/3
Let s = -1/173 - -1387/519. What is j in -4/3*j**5 + 12*j - s*j**2 - 16/3 + 8*j**4 - 32/3*j**3 = 0?
-1, 1, 4
Factor 3/4*k**3 + 3/4*k - 3/2*k**2 + 0.
3*k*(k - 1)**2/4
Suppose -4*r = -3*h + 22, 0 = -4*r - r - 20. Factor -10*m**3 + 6*m**3 + 0*m**h + 12*m**2.
-4*m**2*(m - 3)
Suppose -2*k = 21 - 25. Determine l, given that -1 + 47 + 10*l + 14*l + 26 + k*l**2 = 0.
-6
Let r(q) be the first derivative of q**3/9 - 149*q**2/3 + 22201*q/3 - 571. Solve r(n) = 0 for n.
149
Let h be 7/5 + -1 + (-32)/80. Suppose h = -2*w + 83 - 83. Find c, given that 21/2*c**3 - 3*c**2 + 0 + w*c = 0.
0, 2/7
Let j(v) be the first derivative of -v**5/15 - v**4/2 + 16*v**2/3 + 45. Factor j(q).
-q*(q - 2)*(q + 4)**2/3
Let g(s) be the second derivative of 2*s**6/15 - 2*s**5/25 - s**4/3 + 4*s**3/15 - 7*s - 2. Solve g(m) = 0 for m.
-1, 0, 2/5, 1
Let y = 103 - 71. Let d = -2 - -7. Factor 3*u**d + y*u**4 + 4*u**5 + 16*u**3 + 5*u**5.
4*u**3*(u + 2)*(3*u + 2)
Find k, given that -1/4*k**2 + 28*k + 113/4 = 0.
-1, 113
Let w(l) be the first derivative of -l**4 - 4*l**3 + 20*l**2 + 9. Solve w(x) = 0 for x.
-5, 0, 2
Suppose 3*j - 3*l = 30, -3*j + 2*l = -2*l - 35. Factor -j*a**4 + 29*a**4 + a**3 - 4*a**5 - 53*a**3 + 24*a**2 + 24*a**2 - 16*a.
-4*a*(a - 2)**2*(a - 1)**2
Let q be ((-42)/(-4) - -2) + (-76)/19. Factor -q*j**2 - 13/4*j + 1/2.
-(2*j + 1)*(17*j - 2)/4
Let b(y) be the first derivative of y**5/5 - 2*y**4/3 + 2*y**3/3 - 12*y + 42. Let g(p) be the first derivative of b(p). Factor g(w).
4*w*(w - 1)**2
Let w(y) be the first derivative of 4*y**3/21 + 34*y**2/7 + 578. Find f, given that w(f) = 0.
-17, 0
Suppose -168*g + 54 + 1081/6*g**2 - 145/2*g**3 + 13/2*g**4 - 1/6*g**5 = 0. What is g?
1, 18
Let q(c) be the first derivative of -2*c**5/5 + 8*c**3/3 + 320. Factor q(s).
-2*s**2*(s - 2)*(s + 2)
Suppose -37*q - 26 = -50*q. Let c(t) be the second derivative of -1/5*t**5 + 1/15*t**6 + 3*t + 0 + 0*t**q - 1/6*t**4 + 2/3*t**3. Find w, given that c(w) = 0.
-1, 0, 1, 2
Suppose 0 = 8*k + 4*t - 28, -k - 20*t + 16*t + 14 = 0. Factor -4/5 + 4*z - 16/5*z**k.
-4*(z - 1)*(4*z - 1)/5
Let p(y) = -y**3 + y**2 + 1. Let n(h) = -5*h**4 - 5*h**3 + 12*h**2 - 2*h + 7. Let f = -11 + -10. Let b = -42 + 45. Let u(d) = b*n(d) + f*p(d). Solve u(i) = 0.
-1, 0, 2/5, 1
Let m(k) be the first derivative of -4*k**5/35 + 9*k**4/7 - 36*k**3/7 + 54*k**2/7 + 63. Factor m(r).
-4*r*(r - 3)**3/7
Let d(w) be the second derivative of -w**5/80 + w**4/8 - w**3/8 - 5*w**2/4 + 273*w. Solve d(b) = 0.
-1, 2, 5
Let u(o) be the third derivative of o**8/168 - 13*o**7/105 + 7*o**6/12 + 49*o**5/30 + 2*o**2 + 10. Find s such that u(s) = 0.
-1, 0, 7
Suppose -a - 1 = p, -3*a + 6 - 14 = 4*p. Suppose -a*g**2 + 2/3*g**3 + 8*g - 16/3 = 0. Calculate g.
2
Let s be (-10)/75 - ((-124)/30 - -2). Let r(u) be the first derivative of -1/9*u**6 + 0*u**s - 2/5*u**5 + 0*u + 3 - 1/2*u**4 - 2/9*u**3. Factor r(m).
-2*m**2*(m + 1)**3/3
Determine y so that 27 + 92*y - 3*y**2 + 3*y**3 - 283*y + 93*y + 71*y = 0.
-3, 1, 3
Let z = -1641 + 4924/3. Factor -z*a**3 - 2/3 - a**2 + 5/3*a + 1/3*a**4.
(a - 1)**3*(a + 2)/3
Let o(g) = g**3 + 10*g**2 + 9*g. Let i(t) = t**2 + t. Let z(f) = 4*i(f) - o(f). Let z(n) = 0. What is n?
-5, -1, 0
Let d be (4/6)/((-1)/(-90)). Let l be (65/(-70) + 1)/(2/d). Suppose -l*q**4 + 12/7 + 36/7*q**3 + 3/7*q**2 - 36/7*q = 0. Calculate q.
-1, 2/5, 1, 2
Let z(y) be the third derivative of -7*y**6/180 + 17*y**5/180 + 5*y**4/18 + 2*y**3/9 + 103*y**2. Let z(j) = 0. Calculate j.
-1/2, -2/7, 2
Factor 20*h**3 - 16077*h**2 - 20*h + 40 - 36*h + 2*h**4 + 16071*h**2.
2*(h - 1)**2*(h + 2)*(h + 10)
Let d be ((-35)/(-28))/(10/84). Solve 0 - 45/2*z**2 + 27/2*z + d*z**3 - 3/2*z**4 = 0.
0, 1, 3
Let l = 446 + -1334/3. Let q(z) be the first derivat