 4/5 - u*f**3 + 0*f - 44/5*f**2 - 32/5*f**4 = 0. What is f?
-1, -1/2, 1/4
Let k(a) be the third derivative of a**8/28 + 8*a**7/21 - 3*a**6/10 - 14*a**5/15 - 48*a**2 + 2*a. What is d in k(d) = 0?
-7, -2/3, 0, 1
Factor -16/5 - 8/5*m**2 - 36/5*m.
-4*(m + 4)*(2*m + 1)/5
Factor -14/11*q**2 + 360/11 - 2/11*q**3 + 48/11*q.
-2*(q - 5)*(q + 6)**2/11
Let i = 119 + -116. Let c(v) be the first derivative of 4 - 1/3*v**2 + 2/9*v - 8/27*v**i. Factor c(m).
-2*(m + 1)*(4*m - 1)/9
Suppose -w - 9 = -4*g, 5*w = -3*g + 16 + 8. Factor 39/7*b**2 - 18/7*b**w + 12/7 - 36/7*b + 3/7*b**4.
3*(b - 2)**2*(b - 1)**2/7
Let t(f) = -3*f**3 + 18*f**2 - 47*f + 26. Let o(h) = -h**3 - 2. Let g(u) = -4*o(u) + 2*t(u). Factor g(z).
-2*(z - 15)*(z - 2)*(z - 1)
Let 0*v - 1/2*v**3 + 0 - 9/2*v**2 = 0. Calculate v.
-9, 0
Let k(h) be the third derivative of 1/25*h**6 + 0*h**3 - 33*h**2 + 4/25*h**5 + 0 + 0*h**4 + 0*h - 1/280*h**8 - 2/175*h**7. Factor k(v).
-6*v**2*(v - 2)*(v + 2)**2/5
Suppose 10*v = 4*v + 18. Suppose -v*b - 4*x = -1 - 25, 2*b + 6 = 2*x. Factor 0*g**b + 1/3*g**3 - g + 2/3.
(g - 1)**2*(g + 2)/3
Let i be (-1)/(-3*(-3)/(-18))*2. Suppose -i*a + 3*v - 6 = -0*v, v = 2. Factor 2/9*b**4 - 2/9*b - 2/3*b**3 + a + 2/3*b**2.
2*b*(b - 1)**3/9
Let x = 553 + -553. Let w(v) be the first derivative of -1/6*v**4 + x*v**5 + 1/27*v**6 + 4/27*v**3 + 0*v**2 - 6 + 0*v. Find r such that w(r) = 0.
-2, 0, 1
Let b = -58343/4 - -14586. Factor -1/2*m + 0 + b*m**2.
m*(m - 2)/4
Let r(w) be the second derivative of -w**6/165 + 29*w**5/110 + 31*w**4/22 + 95*w**3/33 + 32*w**2/11 - w + 45. Solve r(i) = 0 for i.
-1, 32
Let y be -3*((-4)/12)/((-1)/(-5)). Suppose 4*r = -4*l - l + 40, 16 = 2*l - 3*r. Determine c, given that -y*c**2 + 11*c**2 - l*c**2 = 0.
0
Suppose -14*r - 3*r = 0. Let y(o) be the first derivative of 4/9*o**3 - 1/12*o**4 - 2/3*o**2 + 3 + r*o. Factor y(z).
-z*(z - 2)**2/3
Let r = 19 - 12. Factor -10*w - 6*w**2 - r*w**2 + 15 + 8*w**2.
-5*(w - 1)*(w + 3)
Let b(i) be the third derivative of -i**6/240 + i**5/30 + i**4/48 - i**3/3 - 91*i**2. What is l in b(l) = 0?
-1, 1, 4
Factor -1/3*q**2 + 49/3*q + 34.
-(q - 51)*(q + 2)/3
Factor 0 - 8/13*p**4 - 314/13*p**2 + 320/13*p**3 + 6*p.
-2*p*(p - 39)*(2*p - 1)**2/13
Determine f so that 1/2*f**3 + 5*f**2 + 17/2*f - 14 = 0.
-7, -4, 1
Let u be (3/11)/(816/2244). Let b(p) be the first derivative of -1/4*p**3 - 7/20*p**5 - 1/4*p**2 + u*p**4 + 0*p - 10. Let b(w) = 0. Calculate w.
-2/7, 0, 1
Suppose -x - 38 = -44. Solve -51*b + x*b**2 + 5*b**3 - b**2 + 21*b = 0 for b.
-3, 0, 2
Suppose -37*i + 4 = -161*i + 252. Solve 21/8 - 3/8*z**i - 9/4*z = 0 for z.
-7, 1
What is i in 12*i**2 + 5*i**4 - 9*i**4 + 69*i - 11*i**3 - 53*i - 16 + 3*i**3 = 0?
-2, 1
Let y(k) = 17*k**2 + 371*k - 4. Let o(c) = -14*c**2 - 372*c + 3. Let w(l) = -4*o(l) - 3*y(l). Suppose w(s) = 0. Calculate s.
-75, 0
Let z = -1130 + 3391/3. Let -1/2 + 1/6*t**2 + z*t = 0. What is t?
-3, 1
Let j(s) be the first derivative of -s**4/66 - s**3/11 - 3*s + 6. Let u(g) be the first derivative of j(g). Factor u(n).
-2*n*(n + 3)/11
Suppose 4*v = -c + 71, 3*c + 27 + 66 = 5*v. Suppose -25*r**3 - 37*r - 415*r**2 + 40 - 75*r**3 - v*r + 5*r = 0. Calculate r.
-4, -2/5, 1/4
Factor -1/5*o**2 - 14/5*o - 13/5.
-(o + 1)*(o + 13)/5
Let x be 152/64 + 6/(-16). Let r(z) be the third derivative of 1/120*z**5 + 5*z**x + 0*z**3 + 0*z + 1/96*z**4 + 0. Factor r(f).
f*(2*f + 1)/4
Suppose 8*w - 21 = 3. Solve -2*h**3 + 3*h**w - 3*h**3 - h**3 - 6*h**2 = 0 for h.
-2, 0
Suppose -f + 8 - 3 = 0. Let t(s) be the second derivative of -s**f + 0 - 7*s + 11/6*s**4 - 2*s**2 + 1/3*s**3. Suppose t(z) = 0. Calculate z.
-2/5, 1/2, 1
Let w be -4*1/(-50)*5. What is y in -w*y + 2/5*y**2 + 6/5*y**4 + 0 + 2*y**3 = 0?
-1, 0, 1/3
Let o = 45/508 - 2/381. Let k(b) be the third derivative of 0*b + 0 + 7/30*b**5 + 2/3*b**4 - o*b**6 - 4/3*b**3 + 2*b**2. Factor k(a).
-2*(a - 2)*(a + 1)*(5*a - 2)
Let n(c) be the third derivative of -c**7/630 + c**6/180 + c**5/45 - c**4/9 + 64*c**2. Find l, given that n(l) = 0.
-2, 0, 2
Let y(m) be the second derivative of 0*m**3 + 0 + 16*m + 1/3*m**2 - 1/72*m**4. Find d, given that y(d) = 0.
-2, 2
Let v(x) be the first derivative of -x**4/18 - 4*x**3/3 + 19*x**2/9 + 212. What is h in v(h) = 0?
-19, 0, 1
Suppose 99 + 38 = l. Let f = l - 671/5. Factor f*m**2 + 18/5 - 6*m - 2/5*m**3.
-2*(m - 3)**2*(m - 1)/5
Let w(u) be the third derivative of 0*u**4 + 0 + 0*u - 1/15*u**3 - 13*u**2 + 1/150*u**5. Factor w(f).
2*(f - 1)*(f + 1)/5
Let s = -2784 + 222723/80. Let c(w) be the second derivative of 0*w**3 - 1/56*w**7 + 0*w**4 - s*w**5 + 2*w + 0*w**2 + 0 + 1/20*w**6. Solve c(i) = 0.
0, 1
Let g(m) be the third derivative of m**7/35 - m**6/660 - m**5/10 + m**4/132 + 349*m**2. What is t in g(t) = 0?
-1, 0, 1/33, 1
Let i be (0 + 1 - 2) + 11. Let y = i + -5. Suppose 4*m - 7 + 9 - y - m**2 = 0. Calculate m.
1, 3
Let l(p) be the second derivative of -5*p**4/24 - 35*p**3/12 + 10*p**2 - 55*p. Factor l(x).
-5*(x - 1)*(x + 8)/2
Let a be 2/4 - (203/(-14) - -6). Suppose -x - 4*b = -11 - a, -3*b + 12 = 0. Solve 4/5*c**x + 1/5*c - 4/5*c**2 - 3/5*c**5 + 0 + 2/5*c**3 = 0 for c.
-1, 0, 1/3, 1
Let i(k) = 2*k**2 + k - 2. Let h be i(-2). Factor 33*z**4 - 21*z**4 + 28*z - z**5 - 8*z**2 + 8*z**h - 12 - 24*z**3 - 3*z**5.
-4*(z - 3)*(z - 1)**3*(z + 1)
Let g = 68 - 68. Factor -6*f - 29*f**2 + 30*f**2 + g*f + 5.
(f - 5)*(f - 1)
Let d = 67 + -79. Let r be d/54 + 200/252. What is i in 6/7*i**5 + 0*i**2 + 2*i + r*i**4 - 4/7 - 20/7*i**3 = 0?
-2, -1, 1/3, 1
Let i(g) be the third derivative of -g**8/20160 - g**7/1680 + g**6/180 + 17*g**5/60 - 28*g**2. Let f(c) be the third derivative of i(c). What is t in f(t) = 0?
-4, 1
Let a(q) = -4*q**3 - 7*q**2 - 2*q + 1. Let l(k) = -11*k**3 - 21*k**2 - 5*k + 5. Let w(i) = 8*a(i) - 3*l(i). Factor w(h).
(h - 1)*(h + 1)*(h + 7)
Let d(x) = 5*x**4 - 576*x**3 - 20148*x**2 + 42623*x. Let a(i) = -2*i**4 + 288*i**3 + 10074*i**2 - 21312*i. Let w(n) = -9*a(n) - 4*d(n). Factor w(c).
-2*c*(c - 2)*(c + 73)**2
Solve -24*x**3 - 35 + 49*x**2 - 14*x**2 + 5*x + 19*x**3 = 0.
-1, 1, 7
Factor 0 + 5/2*c**2 - 25/4*c - 1/4*c**3.
-c*(c - 5)**2/4
Let d(a) = -3*a - 16. Let y be d(-6). Factor 4*s**2 + 4*s**y - 2*s**4 - 10*s**2 - 4*s**3.
-2*s**2*(s + 1)**2
Let h be 5/((-90)/153) + 9. Factor -7/2*a - h*a**2 - 3.
-(a + 1)*(a + 6)/2
Let r be (8/(-30))/(-11 - (-4 - 319/55)). Let r - 2/9*l**5 + 2/9*l**4 - 2/9*l + 4/9*l**3 - 4/9*l**2 = 0. Calculate l.
-1, 1
Let a(n) be the first derivative of n**3/6 + n**2 - 24. Factor a(d).
d*(d + 4)/2
Suppose 7*t = 13*t - 84. Let d = t + -14. Suppose -2/3*i**2 + 1/6*i**3 + d + 0*i = 0. Calculate i.
0, 4
Let i(b) be the second derivative of -b**4/6 + 29*b**3/15 + 6*b**2/5 + 33*b. Suppose i(m) = 0. What is m?
-1/5, 6
Let t(b) = -b**2 - 9*b - 6. Let g = -11 + 41. Suppose -4*p = g - 10. Let i(q) = 2*q**2 + 10*q + 7. Let j(v) = p*t(v) - 4*i(v). Factor j(k).
-(k - 2)*(3*k + 1)
Suppose p - 4*p = 0. Suppose 2*z + z - 24 = p. Let -z - 3*s**2 + 2*s + 6*s + s**2 = 0. What is s?
2
Let h = -10 - -15. Factor -3*r**3 + 2*r**3 - 8*r**4 - 5*r**5 + r**h - 3*r**3.
-4*r**3*(r + 1)**2
Suppose 5*q = 12 + 13. Let l(r) be the third derivative of 2/15*r**3 - 1/150*r**q + 0 + 0*r - 1/60*r**4 - r**2. Let l(b) = 0. Calculate b.
-2, 1
Let r = -47 + 95. Factor 8*c**3 + 40*c + 12*c**4 - r*c - 4*c**3 - 12*c**2 + 4*c**5.
4*c*(c - 1)*(c + 1)**2*(c + 2)
Let x(p) be the first derivative of -2*p**2 + 1/3*p**6 + 1/2*p**4 + 0*p - 14 - 6/5*p**5 + 2*p**3. Factor x(v).
2*v*(v - 2)*(v - 1)**2*(v + 1)
Let j(u) = 3*u**2 - 105*u + 3. Let b(o) = 2*o**2 - 4*o + 1. Let s(a) = -3*b(a) + j(a). Let s(w) = 0. What is w?
-31, 0
Let c = 832 - 799. Solve 75/4*t**3 + 81/2*t**2 + c*t + 3*t**4 + 6 = 0.
-2, -1/4
Let y(x) = -x**2 + 7*x + 2. Let i be y(7). Suppose -3*b - 5 + 4 = i*l, -2*b - 2*l - 4 = 0. Factor 22 - 81*q + 11*q**4 + 15*q**b - 62 - 10*q**2 + 21*q - 6*q**4.
5*(q - 2)*(q + 1)*(q + 2)**2
Let p(s) = 5*s**3 - 7*s**2 - 40*s + 58. Let k(g) = -g**2 - 1. Let y(a) = 2*k(a) - p(a). Suppose y(j) = 0. What is j?
-3, 2
Let r be (21/2)/(21/(-28)). Let w be (-7)/r*(-1)/(2/(-10)). Suppose 1/2*l**3 - w*l - 1/2*l**2 - 3/2 = 0. What is l?
-1, 3
Suppose -16 = -2*d + 2. Determine y, given that -y**2 - 4*y**2 - y**2 - 3*y**4 + d*y**3 = 0.
0, 1, 2
Let p(l) be the second derivative of 0 - 6*l + 3*l**2 - 1/2*l**