0 - 9*l**4/4 - 8*l**3/5 + 18*l**2/5 + 600*l - 2. Solve w(b) = 0.
-6, -1, 2/5, 1
Suppose 41 - 23 = 6*u. Factor 11*s**3 + 4*s**u - 11*s**3 - 2*s**4.
-2*s**3*(s - 2)
Let u = 38 + -20. Suppose -8*n = -122 + u. Let d(h) = -6*h**2 + 5*h - 25. Let f(x) = 3*x**2 - 3*x + 12. Let c(z) = n*f(z) + 6*d(z). Factor c(y).
3*(y - 2)*(y - 1)
Let a(k) be the first derivative of 3*k**5/25 - 15*k**4 + 2598*k**3/5 - 1470*k**2 + 7203*k/5 + 15041. Let a(o) = 0. What is o?
1, 49
Suppose -13*s + 54*s + 36*s - 924 = 0. Let h(b) be the first derivative of -2/5*b**2 + 0*b + 1/5*b**6 - 1/10*b**4 + s - 2/3*b**3 + 2/5*b**5. Solve h(t) = 0.
-1, -2/3, 0, 1
Suppose 0 = 84*w - 83*w - 3*k - 20, 0 = -4*w - 4*k - 16. Solve 69/4*t**w + 93/4*t + 15/2 + 3/2*t**3 = 0 for t.
-10, -1, -1/2
Let x(l) be the second derivative of -29/2*l**2 + 5/6*l**3 - 1/4*l**4 + 1/60*l**5 + 0 + 32*l. Let u(d) be the first derivative of x(d). What is c in u(c) = 0?
1, 5
Let i(y) be the first derivative of 2*y**3/27 - 784*y**2/9 - 1048*y/3 + 1925. Let i(r) = 0. Calculate r.
-2, 786
Factor -2259*j - 561*j - 121 + 1798 - 3*j**2 + 1146*j.
-3*(j - 1)*(j + 559)
Let v(j) be the first derivative of j**6/30 - 3*j**4/10 - 8*j**3/15 - 3*j**2/10 + 803. Factor v(w).
w*(w - 3)*(w + 1)**3/5
Determine b, given that 0 + 4/3*b**3 - 11/6*b**2 + 1/6*b**4 - 3*b = 0.
-9, -1, 0, 2
Let s = -114 + 97. Let u = s + 32. Let 11*q**3 + 21*q + 4*q**4 - 3 - 12*q - 20*q**3 + u*q**2 - 16*q**4 = 0. What is q?
-1, 1/4, 1
Let w(y) be the third derivative of -y**8/112 - 11*y**7/70 + y**6/40 + 11*y**5/20 + 39*y**2 + 1. Determine r so that w(r) = 0.
-11, -1, 0, 1
Let k be 18/81 - 770/(-18). Let c(u) be the first derivative of 1/3*u**2 + k + 1/9*u**3 + 0*u. Solve c(h) = 0 for h.
-2, 0
Let d be (-126)/(-72)*(-1 - -449). Let -43*w - 4*w**2 - d + 12*w - 81*w = 0. Calculate w.
-14
Let b(z) be the third derivative of -z**7/1050 - z**6/30 + z**5/300 + z**4/6 + 802*z**2. Factor b(h).
-h*(h - 1)*(h + 1)*(h + 20)/5
Determine h so that -21*h**2 + 28 - 9*h**2 - 16*h - 23*h + 65*h - 26*h**3 + 2*h**4 = 0.
-1, 1, 14
Let y(o) be the third derivative of -o**6/24 + 83*o**5/12 + 525*o**4/4 + o**2 - 377. Find f, given that y(f) = 0.
-7, 0, 90
Let j = -3296 + 3299. Let a(v) be the first derivative of 0*v - 4/5*v**5 + 4*v**4 - 14 + 0*v**2 - 4*v**j. Find f, given that a(f) = 0.
0, 1, 3
Suppose -62/5 - 2/5*u**4 - 12*u + 12*u**3 + 64/5*u**2 = 0. What is u?
-1, 1, 31
Let w be (42/(-10))/(5 - (-1582)/(-315)). Suppose w*b = 198*b. Suppose -2/3*t**2 + 4/3*t**3 - 2/3*t**4 + 0*t + b = 0. Calculate t.
0, 1
Let x(q) be the first derivative of -9/10*q**5 - 1/12*q**6 + 119 + 29/6*q**3 - 3*q**2 + 13/8*q**4 - 10*q. What is g in x(g) = 0?
-10, -1, 1, 2
Let s be (144/(-20))/((-1)/85). Let r = s - 610. Factor -1/4 - 9/4*q**r + 3/2*q.
-(3*q - 1)**2/4
Let f = -91 - -136. Suppose 0 = 44*l - f*l + 2. Factor -31 + 125*h**5 + 60*h**3 + 8*h**l + 150*h**4 + 31.
h**2*(5*h + 2)**3
Solve 2977*i**2 - 3081*i**4 - 1271*i**4 + 73984 + 16*i**5 - 18*i**2 + 309*i**2 - 223040*i + 295924*i**3 = 0 for i.
-1, 1/2, 136
Find m, given that -38 - 479*m - 2*m**3 - 5*m**3 + m**3 + 7*m**3 - 202 - 238*m**2 = 0.
-1, 240
Determine w so that 3*w**3 + 330*w**2 - 39239 - 267*w - 502*w + 40979 - 1304*w = 0.
-116, 1, 5
Let c(d) be the second derivative of d**5/5 + 88*d**4/3 - 182*d**3/3 - 356*d**2 + d - 49. Factor c(u).
4*(u - 2)*(u + 1)*(u + 89)
Suppose -4*v = -5*q - 20, v - 4*q - q + 10 = 0. Suppose 4*l = -v + 30. Factor -8*r**4 - 24*r**3 + 5*r**5 - 8*r**l + 5*r**4 - 12*r**4 - 12*r**2.
-3*r**2*(r + 1)*(r + 2)**2
Let r be (-9)/4 - (1105/520)/((-3)/6). Factor 5/2*j + 0 + 5/4*j**r.
5*j*(j + 2)/4
Suppose 4*s + 3*m = -0*s, -15 = -s + 3*m. Find h, given that 4*h**4 + 261*h**3 - 25*h + 293*h**s - 268*h**2 - 426*h**3 + 161*h = 0.
-34, 0, 1
Factor 17328*j**2 - 3*j**3 - 17172*j**2 - 2028*j + 5 - 5.
-3*j*(j - 26)**2
Factor 336*j + 40368 - j**2 - 577*j - j**2 - 455*j + 5*j**2.
3*(j - 116)**2
Factor -112/5*g**2 + 1/5*g**3 - 343/5*g - 46.
(g - 115)*(g + 1)*(g + 2)/5
Suppose 611*s = -1489*s + 168000. Factor -4/3*h**3 + 800/3 - 24*h**2 - s*h.
-4*(h - 2)*(h + 10)**2/3
Let c(t) = t + 7. Let i = 1 - -18. Let w be c(i). Determine f so that f**2 + f**2 - 7*f**2 + f**2 - 22*f**4 - w*f**3 = 0.
-1, -2/11, 0
Solve -304 - 1077919*y + 1073975*y - 10717*y**2 + 338*y**3 - 2023*y**2 = 0.
-2/13, 38
Let o = -73 - -659/9. Let a be (31372/(-32085))/((-4)/5). Let 10/9*d**3 - a*d + 1/9*d**5 + 7/9*d**4 - 5/9 - o*d**2 = 0. What is d?
-5, -1, 1
Let v(w) be the first derivative of -w**6/360 + w**5/15 + 4*w**3 - 83. Let u(h) be the third derivative of v(h). Suppose u(c) = 0. What is c?
0, 8
Let w be 8/(-15) + 0 - (-9276)/7730. Factor 5/3*k**2 - w*k - 2/3*k**4 - 1/3*k**3 + 0.
-k*(k - 1)*(k + 2)*(2*k - 1)/3
Let q(x) be the first derivative of 0*x**3 + 1 + 1/36*x**4 + 0*x + 1/180*x**5 + 5*x**2. Let a(v) be the second derivative of q(v). Factor a(l).
l*(l + 2)/3
Find v, given that -3*v**4 - 255*v**2 + 292*v**3 - 432 - 216*v**3 + 774*v - 160*v**3 = 0.
-24, -6, 1
Factor -127*o**2 + 36*o**3 + 136 - 163 + 37*o**2 - 3*o**4 + 84*o.
-3*(o - 9)*(o - 1)**3
Let q be ((-1)/(-1))/((-17)/(-34)). Suppose j + 8 = 12. Find a such that 0*a - 4*a**5 + 2*a**4 + 2*a**q - j*a - 14*a**3 + 26*a**3 = 0.
-1, 0, 1/2, 2
Let y(k) be the second derivative of -2*k**7/21 + 4*k**6/5 + 13*k**5/5 - 14*k**4 + 5431*k. Let y(o) = 0. Calculate o.
-3, 0, 2, 7
Let l(i) be the third derivative of -i**8/840 + 122*i**7/525 - 4*i**6/5 - i**5/75 + 241*i**4/60 - 8*i**3 - i**2 - i - 92. Solve l(g) = 0.
-1, 1, 120
Let j be ((-4)/10)/(1/(-2)*156/65). Let o(q) be the second derivative of 72*q**2 + 0 + j*q**4 + 20*q - 8*q**3. Let o(h) = 0. What is h?
6
Suppose 0 = -a + 1435 - 140. Let o = 6476/5 - a. Factor -o*v**2 + 0 + 0*v + v**3.
v**2*(5*v - 1)/5
Let u(g) be the second derivative of -2904*g**2 - 1/4*g**4 - 2 - 135*g + 44*g**3. Factor u(n).
-3*(n - 44)**2
Let z(a) be the second derivative of 0*a**3 + 1/5*a**5 + 0*a**2 - 2/15*a**6 - 7*a - 2/21*a**7 + 1/3*a**4 + 0. Factor z(q).
-4*q**2*(q - 1)*(q + 1)**2
Let d(w) be the first derivative of -14*w**6/3 - 411*w**5/5 - 253*w**4/4 + 62*w**3 + 28*w**2 - 772. What is k in d(k) = 0?
-14, -1, -1/4, 0, 4/7
Factor -20*b**2 - 5*b**5 + 6*b**4 + 4*b**5 + 4*b**5 + 14*b**2 - 3*b.
3*b*(b - 1)*(b + 1)**3
Let l = -75052 - -75055. Factor 0*r**2 + 1/2 - 3/4*r + 1/4*r**l.
(r - 1)**2*(r + 2)/4
Let b(i) = 32*i**3 + 3752*i**2 + 22594*i + 33932. Let a(p) = 10*p**3 + 1250*p**2 + 7531*p + 11312. Let l(t) = 22*a(t) - 7*b(t). Factor l(u).
-4*(u - 315)*(u + 3)**2
Let c(z) = -10*z**3 + 7008*z**2 - 11*z + 22. Let w(f) = 5*f**3 - 3503*f**2 + 6*f - 12. Let m(t) = -6*c(t) - 11*w(t). Determine o so that m(o) = 0.
0, 703
Let f(i) = 45*i**2 + 314*i - 5. Let d be f(-7). Let s(l) be the first derivative of 45/2*l**d + 20*l + 10*l**3 + 5/4*l**4 + 11. Factor s(t).
5*(t + 1)**2*(t + 4)
Suppose 4*t - t - 5*n - 783 = 0, -2*t + 522 = 3*n. Let a = t + -261. Factor -1/4*c**4 - 3/4*c**2 + a - c**3 + 0*c.
-c**2*(c + 1)*(c + 3)/4
Let g(f) be the third derivative of -f**8/1120 + f**7/560 + f**6/240 - f**5/80 + 34*f**3/3 - 209*f**2. Let r(s) be the first derivative of g(s). Factor r(i).
-3*i*(i - 1)**2*(i + 1)/2
Let o = -1293/28 + 1307/28. Solve o*s + 2*s**4 + 1/2*s**5 - s**3 + 2 - 4*s**2 = 0 for s.
-4, -1, 1
Suppose -2*g = -q - 12, -328*g + 12 = -326*g + 3*q. What is l in -6*l**2 + 3/2*l**5 - 39/2*l**3 + 18*l + g*l**4 + 0 = 0?
-6, -1, 0, 1, 2
Let p = 45 - 38. Let v(l) = -2*l + 10*l**3 - p*l**3 + 5*l. Let h(r) = r**3 + r**2 + r. Let q(x) = 6*h(x) - 3*v(x). Factor q(c).
-3*c*(c - 1)**2
Factor -702*u - 2/3*u**4 - 62/3*u**3 + 222*u**2 + 720.
-2*(u - 3)**3*(u + 40)/3
Let l(v) = v**2 - 4*v - 27. Let f be l(8). Let o(d) be the first derivative of 4/5*d**f + 8*d**2 - 14 + 4*d**3 - 16*d - 4*d**4. Let o(t) = 0. Calculate t.
-1, 1, 2
Determine y so that 872/5*y - 82/5*y**2 - 792/5 + 2/5*y**3 = 0.
1, 18, 22
Let q(j) be the first derivative of j**6/3 + 64*j**5/5 + 178*j**4 + 3296*j**3/3 + 3264*j**2 + 4608*j + 14513. Let q(b) = 0. Calculate b.
-12, -4, -2
Factor 218*r**3 + 5*r**5 + 75*r**4 + 94414*r - 93814*r + 820*r**2 + 172*r**3.
5*r*(r + 2)**2*(r + 5)*(r + 6)
Let w(k) be the first derivative of -8/11*k**3 - 24/11*k**2 - 59 + 6/55*k**5 + 3/11*k**4 + 0*k. Factor w(t).
6*t*(t - 2)*(t + 2)**2/11
Let f(c) be the third derivati