62*y - 376*y + 41*y**2 + 886*y.
-(y - 6)**2*(5*y + 19)
Let c = 2321/9 + -66427/261. Let u = -766/261 + c. Factor -8/9*a - 8/9*a**2 + 2/3*a**3 + 0 - 2/9*a**5 + u*a**4.
-2*a*(a - 2)**2*(a + 1)**2/9
Let f = -573 - -575. Let -15*n**3 + 18*n + 720*n**5 - 723*n**5 - 3*n**2 + 21*n**4 - 18*n**f = 0. What is n?
-1, 0, 1, 6
Let z = 1263 - 1258. Let q(f) be the second derivative of 0*f**2 - 1/24*f**3 + 0 + 7/48*f**4 + z*f - 2/15*f**6 - 1/10*f**5. Factor q(h).
-h*(h + 1)*(4*h - 1)**2/4
Let h(z) be the second derivative of 1/50*z**5 - 102*z - 31/10*z**4 + 961/5*z**3 - 29791/5*z**2 + 0. Factor h(v).
2*(v - 31)**3/5
Factor -5*n**4 - 6094 + 49452*n - 3530*n**2 - 60252*n - 1531 - 360*n**3.
-5*(n + 1)*(n + 5)**2*(n + 61)
Let m(b) be the first derivative of 3/20*b**5 + 6*b**2 + 17 + 5/4*b**4 - 13*b + 4*b**3. Let i(s) be the first derivative of m(s). Factor i(u).
3*(u + 1)*(u + 2)**2
Let g = 1951 - 1945. Let n(t) be the second derivative of 0*t**4 - 1/75*t**g + 0*t**3 + 0*t**2 + 0 - 15*t + 0*t**5. Factor n(q).
-2*q**4/5
Let r(j) be the first derivative of 2*j**3/3 - 3*j**2/2 + 2*j - 14. Let n be r(2). Solve 5*g**2 + 15*g**2 - 16*g**2 + n*g**3 = 0 for g.
-1, 0
Factor 31*h**2 + 30*h**2 - 92*h + 29*h**2 - 92*h - 1176 - 88*h**2.
2*(h - 98)*(h + 6)
Let z = 53 - 53. Let j = 10829/4 - 2706. Factor -j*y**2 + z - 15/4*y.
-5*y*(y + 3)/4
Let a(y) be the third derivative of -1/16*y**4 + 0*y + 0*y**3 + 0*y**5 - 41*y**2 + 1/80*y**6 + 0. Determine m so that a(m) = 0.
-1, 0, 1
Let v(q) be the first derivative of 2*q**3/21 - 9*q**2 - 1867. Let v(i) = 0. What is i?
0, 63
Suppose 5*g + 4*w + 177 = 216, -g - 2*w + 15 = 0. Solve 0*u - 7/3*u**4 + 0 + 2/3*u**2 - 11/3*u**g + 2*u**5 = 0 for u.
-1, 0, 1/6, 2
Let n = -159169/17 + 9363. Factor -2/17*i**3 + 0 + 0*i**2 + n*i.
-2*i*(i - 1)*(i + 1)/17
Let r(p) be the third derivative of p**5/120 + 199*p**4/48 - 67*p**3/2 + 51*p**2. Determine n so that r(n) = 0.
-201, 2
Let z = 180 + -178. Suppose 0 = 4*s - 2*x - 12, 3*x = -5*s - z*x. Find n such that 2/3*n**3 - 8/3*n**s + 10/3*n - 4/3 = 0.
1, 2
Suppose 5*o + 5*c = -10, o + 2*o = -2*c - 3. Suppose -2*s - u = o, -3*u + 5*u = -9*s + 8. Factor 3*g**3 + 1/2*g**4 + 9/2*g**2 + s*g + 0.
g*(g + 1)**2*(g + 4)/2
Let q(p) = p**2 + 17*p + 73. Let s be q(-7). Factor -1372*m**3 - 476*m**s + 81*m**4 + 14240*m + 236*m**3 + 30964*m**2 + 1600 - 1592*m**3.
(m - 20)**2*(9*m + 2)**2
Let -768/5*y + 1152 - 248/5*y**2 - 12/5*y**3 = 0. What is y?
-12, 10/3
Let h = 817 + -811. Suppose -3*z + h = -2*p, 3*z - 6 = 74*p - 71*p. Factor -21/8 + 3*r - 3/8*r**z.
-3*(r - 7)*(r - 1)/8
Let w(x) = 5*x + 25. Let l be w(-5). Suppose -f - 9*f + 80 = l. Let -12*r**4 - 180*r + 11*r**2 + 25*r**2 + 4*r**3 + 144*r + f = 0. Calculate r.
-2, 1/3, 1
Let a(j) = -j**3 + 74*j**2 - 309*j + 310. Let f(g) = -g**2 - g + 2. Let l(i) = 2*a(i) - 10*f(i). Determine p so that l(p) = 0.
2, 75
Let i(l) be the second derivative of 1/105*l**6 - 1/42*l**4 + 42*l - 1/70*l**5 + 0*l**3 + 0*l**2 + 1/147*l**7 + 0. Factor i(m).
2*m**2*(m - 1)*(m + 1)**2/7
Let q = -100/513 - -6514/3591. Factor 0 + q*v**3 + 160/21*v**2 + 128/21*v + 2/21*v**4.
2*v*(v + 1)*(v + 8)**2/21
Let z(x) be the third derivative of 0 + 1/15*x**5 - x**4 + 9*x**2 + 6*x**3 + 5*x. Find r, given that z(r) = 0.
3
Let s(a) = -12*a + 104. Let l be s(9). Let r be (1 - 370/(-30)) + l. Find n such that -28/3*n - 4*n**4 + 4/3*n**2 + 8/3 + r*n**3 = 0.
-1, 1/3, 1, 2
Suppose -2*n - 24 = -3*v + n, 0 = -2*n - 8. Let p be (2/(-5))/((-4)/20). Factor 3*t**3 + 786*t**5 - 783*t**5 + 18*t**p - 12*t**v + 0*t**3.
3*t**2*(t - 3)*(t - 2)*(t + 1)
Suppose -17*z + 3 = -16*z. Factor 17*w**4 + 2*w**4 + 8*w**z - 15*w**4.
4*w**3*(w + 2)
Let i = -35442 + 35444. Factor 20/7*a - 2/7*a**i + 48/7.
-2*(a - 12)*(a + 2)/7
Let t be 8/90 - (-10)/90. Factor t*o**4 - 32/5*o - 8/5*o**3 - 6*o**2 - 11/5.
(o - 11)*(o + 1)**3/5
Let a = -92 + -279. Let k = -371 - a. Determine j so that 0*j**2 - 2/3*j**5 + 0*j + k + 0*j**3 + 2/3*j**4 = 0.
0, 1
Let r be ((-355)/35 - -10) + (-88)/(-28). Let s be (1 - (2 - 3)) + 56. Factor s*m + r*m**2 + 22*m + 400 + m**2.
4*(m + 10)**2
Let y(h) be the second derivative of -h**6/120 - h**5/60 + h**4/2 + 31*h**2 - h + 19. Let q(w) be the first derivative of y(w). Determine b so that q(b) = 0.
-4, 0, 3
Factor 33113600/9*h - 173056000/9 + 51218/9*h**3 + 2/9*h**5 - 2103520/9*h**2 - 532/9*h**4.
2*(h - 80)**3*(h - 13)**2/9
Let j(i) = -i**3 + 7*i**2 - 8*i - 76. Let y be j(14). Let c be (y/(-70) - 13) + (-2)/7. What is w in 0*w**2 + 27/2*w**5 + c*w**4 + 27/2*w + 3 - 39*w**3 = 0?
-2, -1/3, 1
What is b in 0 - 78732/7*b**2 - 7290/7*b**3 - 3/7*b**5 - 36*b**4 - 177147/7*b = 0?
-27, -3, 0
Let a(j) be the first derivative of 4/5*j - 2/15*j**3 - 135 + 1/5*j**2. Determine t, given that a(t) = 0.
-1, 2
Let b be 210/(-450)*(-7)/13 - 3/15. Let c(y) be the first derivative of -1/26*y**4 + 1/13*y**2 + 2/13*y - b*y**3 - 21. Factor c(x).
-2*(x - 1)*(x + 1)**2/13
Factor -10*o**2 - 8/3 - 2/3*o**4 + 28/3*o + 13/3*o**3.
-(o - 2)**3*(2*o - 1)/3
Suppose 5*m = -5*s + 245, 4*m - 247 = -m - 4*s. Factor -80*l + 8 + m*l + 338*l**2 - 75*l.
2*(13*l - 2)**2
Let 0 - 2/5*h**2 - 404/5*h = 0. What is h?
-202, 0
Let l(p) be the second derivative of p**8/840 - p**7/630 - p**6/540 + 53*p**3/3 - 23*p. Let a(j) be the second derivative of l(j). What is y in a(y) = 0?
-1/3, 0, 1
Let y = -96236 - -96252. Let 28/3*l + 2/3*l**2 + y = 0. What is l?
-12, -2
Suppose 59*z - 194 = 51 - 9. Let f(p) be the first derivative of -1/20*p**z + 0*p**2 + 1/5*p**3 - 4/5*p + 13. Factor f(q).
-(q - 2)**2*(q + 1)/5
Let u(k) be the second derivative of -k**6/90 + 73*k**5/30 - 289*k**4/36 + 8*k**3 + 528*k + 1. Factor u(b).
-b*(b - 144)*(b - 1)**2/3
Let w be 7/84*-4*-15. Let c(v) = 15*v**3 + 20*v**2 - 5*v. Let o(x) = -x**4 - 16*x**3 - 21*x**2 + 6*x. Let m(s) = w*o(s) + 6*c(s). Factor m(r).
-5*r**2*(r - 3)*(r + 1)
Let p(x) = 17143*x - 102855. Let n be p(6). Let -33/4*h**n - 120 + 45/2*h**2 + 24*h + 3/4*h**4 = 0. What is h?
-2, 4, 5
Let s = -12038 + 12040. Let p(v) be the first derivative of 1/12*v**3 + 0*v - 18 + 1/8*v**s. Factor p(z).
z*(z + 1)/4
Let i(f) be the third derivative of f**5/40 + 277*f**4/192 + 23*f**3/48 + 2211*f**2. Factor i(t).
(t + 23)*(12*t + 1)/8
Let h be 992/20 - 91/(-65). Determine u, given that 17*u**4 + 3*u**5 - 2*u + 9*u + 9*u**4 + h*u**2 + 61*u**3 + u**4 - 6 + u**5 = 0.
-3, -2, -1, 1/4
Let b be 152/(-836) - 6112/22. Let k = -833/3 - b. Solve 1/3*h**4 - k - 2/3*h + 2/3*h**3 + 0*h**2 = 0.
-1, 1
Let d(y) be the second derivative of y**6/120 - 33*y**5/20 - 5*y**3/3 + 3*y**2 + 119*y. Let u(n) be the second derivative of d(n). Solve u(p) = 0 for p.
0, 66
Determine l so that 96 - 2950*l**2 - 512443*l**3 + 11205*l**4 - 1855*l - 143 - 675*l**5 + 517213*l**3 - 208 = 0.
-1/3, 3/5, 17
Factor 648 + 9*b - 1238 - b**2 + 702.
-(b - 16)*(b + 7)
Let h(d) be the second derivative of d**7/56 + d**6/5 - 9*d**5/16 - 27*d**4/8 - 5*d - 3. What is o in h(o) = 0?
-9, -2, 0, 3
Suppose -3/5*u**4 - 1452/5 + 1188/5*u - 54/5*u**3 - 111/5*u**2 = 0. Calculate u.
-11, 2
Let n(c) be the second derivative of -c**7/273 - 14*c**6/195 - 33*c**5/65 - 4*c**4/3 + 35*c**3/39 + 150*c**2/13 - 1814*c. Find k such that n(k) = 0.
-5, -3, -2, 1
Let x(o) be the third derivative of o**5/210 + o**4 - 180*o**3/7 + 2117*o**2. Find k, given that x(k) = 0.
-90, 6
Let t(s) be the second derivative of -s**4/54 + 52*s**3/27 - 64*s**2/3 + 11830*s. Suppose t(c) = 0. What is c?
4, 48
Let r = -18 + 20. Factor n**3 - 6 - 2*n**4 - 331*n + 6*n**2 + 327*n + n**4 - r.
-(n - 2)**2*(n + 1)*(n + 2)
Let d(v) = 6*v**2 - 114*v - 907. Let c(h) = -2*h**2 + 38*h + 302. Let z(x) = 14*c(x) + 4*d(x). Factor z(r).
-4*(r - 25)*(r + 6)
Factor -17/4 + 1/4*z**2 - 4*z.
(z - 17)*(z + 1)/4
Let t(g) = 148*g + 2962. Let p be t(-20). Let n(o) be the third derivative of 0 + 0*o**6 + 1/210*o**7 - 1/60*o**5 + 8*o**p + 0*o**4 + 0*o**3 + 0*o. Factor n(h).
h**2*(h - 1)*(h + 1)
Let c(q) = 142*q**2 - 140*q + 48. Let f(z) = 708*z**2 - 702*z + 269. Let n(l) = -11*c(l) + 2*f(l). Determine k so that n(k) = 0.
-5/73, 1
Suppose -26143*g + 72000 - 25796*g - 620*g**3 + 8777*g**2 + 11643*g**2 - 22461*g + 5*g**4 = 0. Calculate g.
2, 60
Factor -9*v**2 + 430*v - 852 + 3104*v - 975*v.
-3*(v - 284)*(3*v - 1)
Let i = 41215/474 + -6856/79. Find y such that -i*y**3 + 1/6*y*