+ 4116. Let u(h) = -24*s(h) + z(h). Determine n so that u(n) = 0.
3, 345
Suppose -1240/13 + 2/13*i**2 - 1238/13*i = 0. Calculate i.
-1, 620
Let r(y) be the second derivative of -81 - 11/14*y**7 - 1/2*y**3 + 9/5*y**5 - y - 11/2*y**4 + 9*y**2 + 8/5*y**6. Let r(g) = 0. Calculate g.
-1, -6/11, 1
Let a(f) be the first derivative of f**4/18 - 274*f**3/27 + 4480*f**2/9 + 9800*f/3 - 261. Suppose a(s) = 0. Calculate s.
-3, 70
Suppose -4*h = 48, 74*f + 4*h + 54 = 76*f. Determine l, given that -14/5*l**2 - 32/5*l - 2/5*l**f - 24/5 = 0.
-3, -2
Let q(g) be the first derivative of -g**3/3 - 51*g**2/2 - 98*g + 1892. Factor q(n).
-(n + 2)*(n + 49)
Let p(q) be the second derivative of q**4/16 - 35*q**3/8 + 261*q**2/4 + 302*q - 10. Let p(k) = 0. What is k?
6, 29
Factor 1/3*b**5 - 2*b**3 + 4/3*b**2 - 2/3*b**4 + 13/3*b + 2.
(b - 3)*(b - 2)*(b + 1)**3/3
Suppose 2*g + 108 = -56. Let z be 79 + -84 - g/8. Find i such that -15/4 - z*i**2 - 33/4*i - 3/4*i**3 = 0.
-5, -1
Let f(v) = -10*v**3 + 686*v**2 - 271*v - 5. Let c(b) = -9*b**3 + 684*b**2 - 270*b - 6. Let z(d) = -5*c(d) + 6*f(d). What is a in z(a) = 0?
0, 2/5, 46
Let x(n) = -10*n**3 - 55*n**2 + 269*n - 222. Let k(a) = -56*a**3 - 276*a**2 + 1344*a - 1111. Let j(d) = 6*k(d) - 33*x(d). Let j(b) = 0. What is b?
1, 11/2, 20
Suppose 33*l = 32*l + 3. Let b(k) = -5*k**3 + 15*k**2 + 8*k + 4. Let i(f) = 4*f**3 - 14*f**2 - 9*f - 3. Let p(h) = l*b(h) + 4*i(h). Factor p(w).
w*(w - 12)*(w + 1)
Let n be ((-8)/28)/(1/(-49)). Factor 20*x**2 - 2*x**2 + 30*x + 40 - 2*x - n*x**2.
4*(x + 2)*(x + 5)
Let c be (243/(-54) - -4)*(-8)/18. Find n such that 2/9*n + 0 - 4/9*n**2 + c*n**3 = 0.
0, 1
Let k(t) = 60*t**2 + 2042*t + 2. Let w(p) = -29*p**2 + 3*p - 1. Let c(s) = -k(s) - 2*w(s). Suppose c(h) = 0. What is h?
-1024, 0
Factor 81/2*s + 75/2*s**3 - 159/2*s**2 + 0 + 3/2*s**4.
3*s*(s - 1)**2*(s + 27)/2
Let k = -60169/6 + 10029. Let z(q) be the first derivative of 0*q**2 - 4*q**5 - 10/3*q**3 + 25/4*q**4 + 0*q + k*q**6 + 8. Factor z(d).
5*d**2*(d - 2)*(d - 1)**2
Let l = -7/262 + 2369/10218. Let g(b) be the second derivative of -1/195*b**6 + l*b**3 + 0*b**5 + 10*b + 0 + 3/13*b**2 + 1/13*b**4. Find o, given that g(o) = 0.
-1, 3
Let g(t) be the third derivative of 13*t**6/100 - 37*t**5/150 - 4*t**4/3 - 4*t**3/15 - 146*t**2. Factor g(m).
2*(m - 2)*(m + 1)*(39*m + 2)/5
Let v(w) be the third derivative of w**8/2016 + 13*w**7/1008 + w**6/24 - 11*w**5/12 + 7*w**2 + 7. Let o(n) be the third derivative of v(n). Factor o(g).
5*(g + 6)*(2*g + 1)
Let z be 2/(-8) + 130/40. Suppose -76 = -4*q - x, 0 = z*q - 2*x - 75 + 29. Factor -10 + 24*o**2 + 5*o**3 - 44*o**2 + q*o + 7*o.
5*(o - 2)*(o - 1)**2
Suppose -21318 = -5*g + 3*l - 21324, -5*l + 23 = -4*g. Let 0 + 3/7*q**5 + 3*q**4 - 3*q**2 + 27/7*q**g - 30/7*q = 0. What is q?
-5, -2, -1, 0, 1
Suppose o - 224 = 133. Let u = -1427/4 + o. Factor -u*w**3 - 3/4*w**2 + 1 + 0*w.
-(w - 1)*(w + 2)**2/4
Suppose 4*v = -5*t - 1083 - 155, 616 = -2*v - t. Let r = 309 + v. Suppose 3/2*j**3 + 3/2*j + 3/8*j**4 + 3/8 + 9/4*j**r = 0. What is j?
-1
Let l = -70 + 111. Let f = l + -38. Suppose 2*z**3 + 4*z - 49*z**3 - 6*z**3 + 5*z**f + 64*z**4 = 0. Calculate z.
-1/4, 0, 1/2
Let k(j) be the second derivative of -j**6/70 + 3*j**5/5 + 9*j**4/4 - 45*j**3/7 - j - 565. Solve k(n) = 0 for n.
-3, 0, 1, 30
Let c be (-2346)/(-105) + (-12)/(-9 + 5). Let y = -176/7 + c. Factor -y*t - 1/5*t**2 + 0.
-t*(t + 1)/5
Suppose 6*m - 106 = -88. Determine r, given that m*r**3 + 21*r**2 + 59*r**2 - 28*r**2 + 32*r + 19*r**3 + 2*r**4 = 0.
-8, -2, -1, 0
Let d(u) be the third derivative of u**5/15 + 3*u**4/2 - 20*u**3/3 - 110*u**2 - 9. Factor d(w).
4*(w - 1)*(w + 10)
Let t be (-4)/(-18) + (-210946)/261. Let c = 5668/7 + t. Factor 8/7*y**3 - 12/7*y - 8/7*y**2 + 4/7*y**5 - 4/7 + c*y**4.
4*(y - 1)*(y + 1)**4/7
Let 99/2*d**3 - 63*d**2 + 5/2*d**4 + 0 + 0*d = 0. Calculate d.
-21, 0, 6/5
Let l(f) be the third derivative of f**6/660 + 173*f**5/66 + 157*f**4/12 + 863*f**3/33 + 2*f**2 + 5. Factor l(q).
2*(q + 1)**2*(q + 863)/11
Let k(n) be the second derivative of -n**4/32 - 3*n**3/2 - 24*n**2 - 1081*n. What is v in k(v) = 0?
-16, -8
Let b be ((-156)/845)/((-2007)/117 + 17). Find o, given that b*o**4 + 2/5*o**3 + 8/5 - 2/5*o**5 - 14/5*o**2 + 0*o = 0.
-1, 1, 2
Suppose -4*a + 10 - 2 = 0. Suppose -12*x + 11*x + 5 = 5*r, -3*x - 3*r + 75 = 0. Factor -8*j**5 + 66 - 50*j**3 - 64 - x*j**4 + 10*j**3 - 20*j**a.
-2*(j + 1)**4*(4*j - 1)
Let o(b) = -4*b**4 + 4*b**2 - 4*b + 2. Let d = 97 - 83. Let s(a) = -a + 12. Let g be s(d). Let t(h) = h**4 + h**2 - 1. Let k(j) = g*o(j) - 4*t(j). Factor k(w).
4*w*(w - 1)**2*(w + 2)
Let -24 + 146/7*z - 33/7*z**2 + 1/7*z**3 = 0. What is z?
2, 3, 28
Suppose 44*y - 15*y = 22011. Let l = -759 + y. Factor l*a**2 - 2/7*a**3 + 0 - 2/7*a**4 + 0*a.
-2*a**3*(a + 1)/7
Let q be 2 + -10 - (-854)/245*(-84)/(-36). Suppose 2/3*c**2 + q*c - 2/15*c**3 - 2/3 = 0. Calculate c.
-1, 1, 5
Let d(j) = -1638*j - 32756. Let w be d(-20). Factor -4/19*h**w + 0 + 2/19*h**5 - 2/19*h + 4/19*h**2 + 0*h**3.
2*h*(h - 1)**3*(h + 1)/19
Let o(n) be the first derivative of -2/3*n**3 + n**2 + 40 + 0*n. Factor o(x).
-2*x*(x - 1)
Let f(h) be the first derivative of -17*h**3/2 + 179*h**2 - 14*h - 6559. Let f(l) = 0. Calculate l.
2/51, 14
Let z = 1620 - 1615. Let h(y) be the first derivative of 0*y + 26 - 2/15*y**3 + 3/10*y**4 + 0*y**2 - 6/25*y**z + 1/15*y**6. Let h(f) = 0. Calculate f.
0, 1
Suppose -35 = -4*c + 5*u, -29*u + 26*u - 9 = 0. Suppose 810 = c*v - 1065. Factor -1875/4 - 225/2*t**2 + 15*t**3 + v*t - 3/4*t**4.
-3*(t - 5)**4/4
Let q(n) = 22*n**3 + 18*n**2 - 286*n - 6. Let d(l) = -47*l**3 - 37*l**2 + 573*l + 13. Let i(t) = 6*d(t) + 13*q(t). Let i(p) = 0. Calculate p.
-10, 0, 7
Suppose 8*j = -12*j + 60. Suppose n = 0, 2*z + j*n - n - 6 = 0. Let -1/2 - 2*x**3 - z*x**2 + 5/2*x + 4*x**4 = 0. Calculate x.
-1, 1/2
Let a be 8 + (-23 + 1 + 11 - (-500)/60). Solve -2/9*p**2 - a*p - 46/9 = 0 for p.
-23, -1
Let d(p) = -8*p**2 - 12344*p - 39120. Let o(h) = -3*h**2 - 4925*h - 15648. Let k(x) = 5*d(x) - 12*o(x). Determine a, given that k(a) = 0.
-652, -3
Let b(m) = -10*m**4 - 152*m**3 + 294*m**2 - 164*m. Let z(p) = -12*p**4 - 153*p**3 + 292*p**2 - 167*p. Let c(s) = -5*b(s) + 4*z(s). Let c(j) = 0. What is j?
-76, 0, 1
Factor -93/2*i + 87/4*i**2 + 0 + 3/4*i**3.
3*i*(i - 2)*(i + 31)/4
Let 95/2*m**4 + 0 + 60*m**3 + 25/6*m**5 + 0*m + 50/3*m**2 = 0. Calculate m.
-10, -1, -2/5, 0
Suppose -64/3*f**2 - 22*f**3 - 4/3 + 134/3*f = 0. Calculate f.
-2, 1/33, 1
Let y be ((-784)/448)/(1 + -8). Let p(x) be the second derivative of 0 - 2*x + y*x**3 + 0*x**2 + 1/16*x**4. Suppose p(o) = 0. Calculate o.
-2, 0
Suppose -218*s + 214*s = -3*f + 55, -5*f - 5*s = 25. Factor 8/3*w**4 + 6*w - 4/3*w**3 + 0 + 2/3*w**f - 8*w**2.
2*w*(w - 1)**2*(w + 3)**2/3
Solve 3/4*s**4 + 1/8*s**5 + 3/2*s + 0 - 2*s**2 - 3/8*s**3 = 0.
-6, -2, 0, 1
Suppose -3*g = b - 8, 0*g = -4*b + 2*g + 18. Suppose -1 - b = -2*m. Find i, given that i + 16*i + 19*i + 15 + 93 + m*i**2 = 0.
-6
Let j(n) be the second derivative of 21/2*n**2 - 1/12*n**4 + 10/3*n**3 + 0 - 68*n. Factor j(r).
-(r - 21)*(r + 1)
Suppose -5*a + 3*a - 50 = 7*s, 0 = -2*s - 5 - 11. Factor -56/3*p**a - 32/3*p + 0 + 4*p**4 + 80/3*p**2.
4*p*(p - 2)**2*(3*p - 2)/3
Let g(f) be the first derivative of -f**7/140 - f**6/120 + f**5/8 - f**4/4 - f**3 + 69. Let l(t) be the third derivative of g(t). Factor l(p).
-3*(p - 1)*(p + 2)*(2*p - 1)
Let m(u) be the first derivative of u**5 - 15*u**4/4 + 5*u**3/3 + 15*u**2/2 - 10*u - 832. Solve m(t) = 0 for t.
-1, 1, 2
Let f(h) be the first derivative of h**5/180 - h**2 + 4*h + 3. Let p(x) be the second derivative of f(x). Factor p(j).
j**2/3
Let d(f) be the second derivative of -3*f**5/160 - 47*f**4/32 - 33*f**3 + 108*f**2 + 1124*f. Suppose d(w) = 0. What is w?
-24, 1
Let o = 622125 + -622122. Find d such that 30*d + 39/4*d**2 + 3/4*d**o + 27 = 0.
-9, -2
Let s = 1417 - 1412. Let z(u) be the third derivative of 1/120*u**4 + 0*u**3 + 0 - 1/525*u**7 + 0*u**6 - 1/1680*u**8 + 1/150*u**s + 0*u - 19*u**2. Factor z(r).
-r*(r - 1)*(r + 1)**3/5
Suppose -6/7*l**2 + 2/7*l**3 - 2/7 + 6/7*l = 0. Calculate l.
1
Suppose 0 = 14*j - 20*j - 3*j - 18*j. Let g(u) be the second derivative of j*u**2 - u + 0 + 1/100*u**5 - 1/15*u**4 + 0*u**3. Factor g(a).
a**2*(a - 4)/5
Let p be 7/3 + 14/