/84*k**4 - 1/84*k**6 + 0*k + 0 - 2/105*k**5 + 0*k**3. Factor j(x).
-2*x*(x + 1)*(5*x - 1)/7
Suppose -4*t - 21 = 3. Let b be 1/(2/4) + (t - -44). Solve -2*n**3 - 3*n**5 + 46*n**2 + n**5 - b*n**2 - 6*n**4 + 4*n = 0.
-2, -1, 0, 1
Factor -10/11*c**3 - 86/11*c**2 + 202/11*c - 106/11.
-2*(c - 1)**2*(5*c + 53)/11
Let i = -697/597 + 7367/4776. Let o = 18 + -71/4. Factor -o - i*g - 1/8*g**2.
-(g + 1)*(g + 2)/8
Let w(a) be the third derivative of -a**6/280 - 3*a**5/28 + 25*a**4/14 + 2*a**2 + 27*a - 20. Factor w(j).
-3*j*(j - 5)*(j + 20)/7
Let k(s) = -s**3 - 22*s**2 + 41*s - 168. Let t be k(-24). Let y be t/(-2) - 24/(-6). What is d in -6/13*d**y + 20/13*d**3 - 8/13*d**2 + 0 - 16/13*d = 0?
-2/3, 0, 2
Let v(x) = 11*x**2 + 83*x + 930. Let y(z) = 8*z**2 + 84*z + 920. Let a(j) = 2*v(j) - 3*y(j). Solve a(b) = 0 for b.
-25, -18
Suppose -4*h = 32, -96*x + 91*x - 4*h = 12. Factor -4/7*i**2 + 0*i + 2/7 + 0*i**3 + 2/7*i**x.
2*(i - 1)**2*(i + 1)**2/7
Let r(z) be the third derivative of z**7/70 + 3*z**6/40 - 9*z**5/4 + 77*z**4/8 - 18*z**3 + 4042*z**2. Solve r(h) = 0.
-9, 1, 4
Let z(o) be the second derivative of -19*o**10/6048 - o**9/144 - o**8/672 + 239*o**4/12 + 10*o - 2. Let p(l) be the third derivative of z(l). Factor p(v).
-5*v**3*(v + 1)*(19*v + 2)
What is a in 4*a - 1/2*a**4 - 15/2*a**2 + 8 - 4*a**3 = 0?
-4, -1, 1
Let l = 16 - 0. Let a be (l/10)/(-2)*-5. Find k, given that -k**3 + 0*k**5 - 4*k**5 + 9*k**3 - a*k = 0.
-1, 0, 1
Let t(w) = 3*w + 401. Let n(d) = -11*d - 399. Let a(l) = 2*n(l) + 3*t(l). Let h be a(31). Factor 6*b**h + 48/5*b + 24/5 + 6/5*b**3.
6*(b + 1)*(b + 2)**2/5
Let w(l) be the second derivative of -2/11*l**2 - 1/165*l**6 - 3/22*l**4 - 4*l - 7/33*l**3 - 1/22*l**5 + 1. Factor w(d).
-2*(d + 1)**3*(d + 2)/11
Let b(o) = 74*o + 150. Let v be b(-2). Solve -17*h**2 - 8*h**2 + 40*h + 33*h**v - 4*h**2 = 0 for h.
-10, 0
Determine w, given that w**4 - 1053*w**2 + 22953*w + 31695*w**3 - 87880 - 4870*w - 31694*w**3 = 0.
-40, 13
Let g(t) be the first derivative of 0*t - 2/35*t**5 + 35 + 1/14*t**4 + 0*t**2 - 1/21*t**6 + 2/21*t**3. Factor g(m).
-2*m**2*(m - 1)*(m + 1)**2/7
Let z be -19 - (-4 - -6) - 169747/(-7677). Find f, given that 0*f - 4/9*f**2 - 2/9*f**5 - z*f**3 - 8/9*f**4 + 0 = 0.
-2, -1, 0
Let p(r) be the first derivative of 3*r**2 - 12*r - 1/4*r**3 - 66. Solve p(a) = 0 for a.
4
Let r(f) be the first derivative of -f**8/168 - f**7/105 + f**6/60 + f**5/30 - f**2 - 10*f + 13. Let i(d) be the second derivative of r(d). Factor i(n).
-2*n**2*(n - 1)*(n + 1)**2
Let h(m) be the third derivative of -m**5/60 + 167*m**4/24 - 83*m**3/3 - 1950*m**2. Let h(u) = 0. What is u?
1, 166
Let d be (-2 - (12/30 + -2))*-60. Let w be 1 - (8/d + -1 + 1). Solve 4/3*b + w*b**2 - 2 = 0 for b.
-3, 1
Let g = -644525/6 - -107421. Factor -g*z**4 - 1/6*z**3 - 10/3*z + 0 + 8/3*z**2.
-z*(z - 2)**2*(z + 5)/6
Let 105*t**2 + t**3 + 5*t**3 - 216 + 954*t - 840*t - 9*t**3 = 0. Calculate t.
-2, 1, 36
Solve 83/4*a**2 - 169/4*a + 1/4*a**3 + 85/4 = 0 for a.
-85, 1
Let r be (-10)/(-85) + (-542)/(-17). Suppose 36 = -29*g + r*g. Factor 6*p**2 + 3*p**5 + g*p**4 - 75*p**3 + 0*p + 90*p**3 + 0*p.
3*p**2*(p + 1)**2*(p + 2)
Solve -4040/3 + 3370*v - 25/3*v**2 = 0 for v.
2/5, 404
Let d(t) be the second derivative of -1/3*t**3 + t**2 - 1/24*t**4 - 32*t + 0 + 1/40*t**5. Factor d(n).
(n - 2)*(n - 1)*(n + 2)/2
Let c be -1 + (-2)/6*-57. Suppose -4*m - f = -c - 3, 4*f = 4. Factor -6*r**3 - r**5 + 3*r**5 + r**m + 3*r.
3*r*(r - 1)**2*(r + 1)**2
Let d be 28264/24 + 5*1/(-3). Let k be 553/d - (-10)/(-105). What is p in k - 21/4*p + 147/8*p**2 = 0?
1/7
Let p be ((-50)/6 + 8)/(2/(-146)). Let l(x) be the first derivative of -p*x**3 - 30 + x**4 - 81*x + 171*x**2. Factor l(o).
(o - 9)**2*(4*o - 1)
Solve -204/7*f + 3/7*f**2 - 60 = 0.
-2, 70
Let a = 2622267/10 - 1581031/6. Let j = 1279 + a. Let -6/5*v**5 - j*v**3 - 8/3*v**4 + 12/5*v**2 + 4/15 + 26/15*v = 0. What is v?
-1, -2/9, 1
Let n be 807/538 - (2 + -1 + -2). Let v(a) be the second derivative of 0*a**2 + 1/4*a**5 + n*a**4 + a + 15/2*a**3 + 0. Factor v(x).
5*x*(x + 3)**2
Determine o, given that -18*o**5 + 108716 + 56*o**4 - 148*o**3 + 124*o**4 - 91*o**2 - 108752 - 53*o**2 + 166*o = 0.
-1, 1/3, 2/3, 1, 9
Let a(r) = -r**3 - 45*r**2 - 434*r + 2. Let f be a(-31). Factor 0 - 3/5*j**f + 3/5*j.
-3*j*(j - 1)/5
Let f = 17087/3666 - -7/1222. Suppose f*b**3 + 56*b + 40/3 + 34*b**2 = 0. What is b?
-5, -2, -2/7
Let p(c) be the first derivative of -c**3 - 1098*c**2 - 401868*c + 193. Factor p(u).
-3*(u + 366)**2
Let i be (-12)/27 - 5/(-126)*-6206. Let z = i - -247. Suppose z*s**2 + 162/7 + 36/7*s = 0. Calculate s.
-9
Factor -86*r - 2*r + 1015 + 37*r - 58*r - 89*r - r**2.
-(r - 5)*(r + 203)
Let w be 80605/(-1645) - 51/(-1). Factor 75/2 + 9/2*l**w + 114*l.
3*(l + 25)*(3*l + 1)/2
Let h(w) be the second derivative of -w**6/540 + 11*w**5/180 - 2*w**4/3 - 149*w**3/6 + 77*w. Let i(l) be the second derivative of h(l). Factor i(z).
-2*(z - 8)*(z - 3)/3
Let q(g) = g**2 - 17. Let y(z) = 7*z**2 - 160*z + 214. Let n(j) = 6*q(j) - y(j). Determine k so that n(k) = 0.
2, 158
Let j(m) = 2*m**2 - 72*m - m**2 - 7 + 37*m + 3 + 34*m. Let z(v) = -20*v**2 - 25*v + 225. Let x(l) = 25*j(l) + z(l). Suppose x(q) = 0. Calculate q.
5
Let d(c) be the first derivative of -c**3/3 + 39*c**2 - 1521*c + 2812. Factor d(f).
-(f - 39)**2
Let j(g) = g**3 + 90*g**2 - 96*g - 455. Let i be j(-91). Let m(a) be the first derivative of 9 - 2/27*a**3 + i*a**2 + 8/9*a. Factor m(o).
-2*(o - 2)*(o + 2)/9
Let r = 10792/68965 + -14/5305. Let -3034/13*m + 6724/13 - 160/13*m**2 - r*m**3 = 0. What is m?
-41, 2
Let x(i) be the first derivative of -i**5/25 - 7*i**4/10 - 44*i**3/15 - 4*i**2 - 1278. Let x(g) = 0. What is g?
-10, -2, 0
Let g(h) = h**4 - 3*h**3 - 2*h**2 + h + 1. Let i(u) = 4*u**4 + 23*u**3 - 83*u**2 + 41*u + 5. Let k(j) = 10*g(j) - 2*i(j). Let k(q) = 0. Calculate q.
0, 1, 36
Let y be ((-172)/(-12))/((-2)/5988*-2). Factor 3*g**2 - 21460*g**4 - 18*g + 18*g**2 + y*g**4.
-3*g*(g - 2)*(g - 1)*(g + 3)
Let i(b) be the second derivative of 17/3*b**3 - 7/6*b**4 - 2 - 130*b - 9*b**2 - 1/10*b**5. Determine f, given that i(f) = 0.
-9, 1
Let s be (-8)/(-14) - 3850/1078 - (-34)/16*2. Let -s*j**3 + 0*j - 1/4*j**5 - j**4 + 0 - 1/2*j**2 = 0. What is j?
-2, -1, 0
Let t(d) = -3*d**3 + 948*d**2 + 1867*d + 930. Let v(h) = 23*h**3 - 6642*h**2 - 13068*h - 6508. Let p(r) = 30*t(r) + 4*v(r). Let p(y) = 0. What is y?
-934, -1
Find x such that -940/13*x + 118/13*x**2 - 32/13 = 0.
-2/59, 8
Let f(w) be the second derivative of 0 + 1/10*w**6 + 3/20*w**5 + 0*w**2 - 200*w - 9/2*w**3 - 9/4*w**4. Let f(q) = 0. What is q?
-3, -1, 0, 3
Solve 8 + 2*z**5 - 10*z**2 - 2*z**3 - 8*z**3 - 81146*z**4 + 8*z + 81148*z**4 = 0 for z.
-2, -1, 1, 2
Suppose -2*o - 4*f + 4 = 0, -o - 3*f = -0*f - 4. Let h be 1 + o - 11/(-11). Let h - 5/2*l**2 + l = 0. What is l?
0, 2/5
What is x in -215 - x**2 + 2*x**2 - 579*x + 2*x**2 + 215 = 0?
0, 193
Let s(j) be the first derivative of -3*j**5/5 + 33*j**4/2 - 140*j**3 + 327*j**2 - 297*j - 1335. Let s(u) = 0. Calculate u.
1, 9, 11
Suppose 4*v + 5*z + 5 = -12, -3*v = z - 1. Let a = 33 - 31. Factor -47*g**a - g**3 + 10*g - 10*g - g**4 + 53*g**v.
-g**2*(g - 2)*(g + 3)
Let y = -7/162 - -527/4698. Let z = y - -222/145. Factor -6*a**2 + 9/5*a**3 + 28/5*a - z.
(a - 2)*(3*a - 2)**2/5
Factor 22179461*m**3 + 3*m**2 + m**2 - 22179457*m**3 - 48*m.
4*m*(m - 3)*(m + 4)
Let o be ((-1)/1)/(3/(-12) - 0/23). Let f(k) be the second derivative of -1/24*k**6 - 1/4*k**5 - 37*k - 25/48*k**o - 5/12*k**3 + 0*k**2 + 0. Factor f(u).
-5*u*(u + 1)**2*(u + 2)/4
Let v(g) be the first derivative of g**7/210 + g**6/6 - 7*g**5/20 + 5*g**2 + 12*g - 210. Let o(s) be the second derivative of v(s). Find y such that o(y) = 0.
-21, 0, 1
Let q be -5 + 8 - (0 - 1)/1. Determine p, given that 144*p + 24*p**3 + 28*p**3 + q*p**4 + 1609*p**2 - 1417*p**2 = 0.
-6, -1, 0
Let k(h) be the third derivative of 3*h**7/385 - 19*h**6/330 + 14*h**5/165 + h**4/6 - 7*h**3/11 + 2*h**2 + h + 2. Solve k(q) = 0 for q.
-7/9, 1, 3
Let t(q) = 4*q**3 + 26*q**2 - 340*q - 2109. Let y be t(-6). Let 281216/7 - 2/7*g**y - 16224/7*g + 312/7*g**2 = 0. Calculate g.
52
Let 115 + 34 - 200*g - 31 + 8*g**3 + 10*g**2 - g**4 + 96 + 161 = 0. What is g?
-5, 3, 5
Let d(u) = -6*u**2 + 247*u + 273. Let a(n) = -3*n**2 + 124*