0, 2
Let p be -2*(52/84 - 7*63/343). Solve -p + 4/3*k**2 + 2/3*k**3 - 2/3*k = 0.
-2, -1, 1
Let w(k) be the first derivative of 2*k**6/21 - 4*k**5/5 - 27*k**4/7 - 116*k**3/21 - 20*k**2/7 + 1335. Find s, given that w(s) = 0.
-1, 0, 10
Let q(s) be the second derivative of -3*s**5/160 - 17*s**4/32 - 9*s**3/2 - s - 166. Factor q(k).
-3*k*(k + 8)*(k + 9)/8
Let p(a) be the second derivative of a**4/3 + 286*a**3/3 - 1480*a**2 - 7035*a. Determine q, given that p(q) = 0.
-148, 5
Let u be 729/(-18)*(2/(-3) + 0). Suppose 12*q - u + 3 = 0. Let -12*v + 8 + 6432*v**2 - 6430*v**2 + q = 0. What is v?
1, 5
Let o(x) be the first derivative of x**5/5 + x**4 - 19*x**3/3 + 7*x**2 + 2376. Find a, given that o(a) = 0.
-7, 0, 1, 2
Determine n so that -101*n - 5*n**2 - 256*n + 2360 - 254*n - 559*n = 0.
-236, 2
Let d = -209 + 201. Let b(y) = 7*y**2 - 556*y - 8. Let s(m) = 2*m**2 - 186*m - 3. Let j(f) = d*s(f) + 3*b(f). Factor j(o).
5*o*(o - 36)
Suppose 4*c = -2*p + 302, -2*p = p + 3*c - 459. Solve -2420 - p*q - 3*q**2 - 2*q**2 - 65*q = 0 for q.
-22
Let g = 40 - 40. Suppose g = 5*m - 2*d + d - 25, -3*m = -3*d - 27. Find w such that 14 + 45*w**2 - m - 60*w + 10 = 0.
2/3
Let s(m) be the second derivative of 3*m**5/20 - 143*m**4/12 + 245*m**3/3 - 132*m**2 - 2*m + 355. Factor s(w).
(w - 44)*(w - 3)*(3*w - 2)
Let s(n) be the second derivative of -2*n**7/3 + 424*n**6/15 - 991*n**5/5 + 1694*n**4/3 - 2216*n**3/3 + 400*n**2 + n - 583. Solve s(v) = 0.
2/7, 1, 2, 25
Factor -20589*d**3 - 48*d**2 + 20592*d**3 + 45*d - 6*d + 90.
3*(d - 15)*(d - 2)*(d + 1)
Let a(y) be the first derivative of 2*y**3/3 - 14*y**2 + 80*y + 4343. Find l such that a(l) = 0.
4, 10
Let d = -9544 + 9547. Let t(o) be the first derivative of -1/3*o + 3/4*o**2 - 7/18*o**d - 23. Factor t(i).
-(i - 1)*(7*i - 2)/6
Let n(t) be the first derivative of 55*t**4/4 + 530*t**3/3 - 1390*t**2 + 3000*t + 5177. Factor n(p).
5*(p - 2)**2*(11*p + 150)
Let j = -11650 - -11653. Find r, given that -1 - 1/2*r**4 + 3/2*r**2 - 7/4*r + 7/4*r**j = 0.
-1, -1/2, 1, 4
Suppose 4*l = 5*y + 27, 5*l - 13*y - 18 = -12*y. Find w such that 106*w**4 + 109*w**4 - 217*w**4 - 20*w**l + 22*w**2 = 0.
-11, 0, 1
Let b = -63408 - -63408. Suppose 2/13*o**2 + b + 34/13*o = 0. Calculate o.
-17, 0
Suppose -78 = -4*t - 94. Let n(o) = 2*o**2 - o - 1. Let s(h) = 119*h**2 + 45*h + 5. Let y(u) = t*n(u) - 4*s(u). Factor y(c).
-4*(11*c + 2)**2
Let f be -2 + 7 + (-8)/(-28)*(-34573)/1980. Let t(w) be the second derivative of 0 + 1/27*w**3 + 4/9*w**2 - f*w**5 - 2/27*w**4 - 3*w. Factor t(k).
-2*(k - 1)*(k + 1)*(k + 4)/9
Suppose -339*y + 356*y = 51. Suppose 0 = -q + 2, 7*r = 4*r - 5*q + 25. Let -4*z**r - 10*z**3 - 12*z**4 + 4*z**3 - y*z**3 + z**3 = 0. Calculate z.
-2, -1, 0
Let h(g) be the second derivative of g**4/3 - 9880*g**3/3 + 12201800*g**2 + 8635*g. Let h(j) = 0. What is j?
2470
Let c(p) be the second derivative of -p**4/84 - p**3/2 - 34*p**2/7 + 130*p. Factor c(f).
-(f + 4)*(f + 17)/7
Factor 4*k**4 - 12*k + 7*k**4 + 7*k**3 + 3*k**3 - 13*k**4 + 2*k**2 + 2*k**3.
-2*k*(k - 6)*(k - 1)*(k + 1)
Factor 872 - 444*j + 32*j**2 - 97*j**2 + 38*j**2 + 31*j**2.
4*(j - 109)*(j - 2)
Let n(d) = 102*d - 97. Let m be n(1). Suppose m*z = -k - 3 - 5, z + 4 = k. Factor k*q**2 - 4/3 + 10/3*q.
2*(q + 2)*(3*q - 1)/3
Suppose w - 7 = -4*b, 5*w = -2*b + 4*b - 9. Suppose -b*j = 11 - 15. Solve 21*d - 243 + 41*d - 7*d - d - 3*d**j = 0 for d.
9
Let r(u) be the first derivative of -u**8/560 - u**7/140 + u**6/40 - u**3/3 - 81*u - 23. Let l(f) be the third derivative of r(f). Factor l(b).
-3*b**2*(b - 1)*(b + 3)
Let -88 - 224/5*r - 2/5*r**2 = 0. What is r?
-110, -2
Determine b, given that -198/5*b**2 + 0 + 3/5*b**3 + 3267/5*b = 0.
0, 33
Let j(x) be the third derivative of -x**5/15 + 22*x**4 + 266*x**3/3 + 2629*x**2. Let j(t) = 0. Calculate t.
-1, 133
Factor 13/2*x**2 - 6*x - 1/4*x**3 + 0 - 1/4*x**4.
-x*(x - 4)*(x - 1)*(x + 6)/4
Let d(v) be the first derivative of v**5/300 + v**4/40 - 2*v**3/15 - 29*v**2/2 + 23. Let t(q) be the second derivative of d(q). Suppose t(f) = 0. Calculate f.
-4, 1
Let d be (-15)/6*28/7. Let v be (-5)/((-6)/8 + d/(-24)). Find u, given that 10*u**3 - 4*u**4 - 8 - 2 - u**4 + v - 10*u = 0.
-1, 1
Let p be (-3969)/1134*(0 + 40/(-14)). Let y be 31/p + (-8)/400*5. Solve -6/7*t**y - 8/7*t + 16/7*t**2 + 0 = 0.
0, 2/3, 2
Let h(q) be the second derivative of q**5/170 - 23*q**4/102 + 22*q**3/51 + 62*q - 2. What is r in h(r) = 0?
0, 1, 22
Suppose -10*f + 0*f = -4410. Solve -25*h**3 - f*h + 84*h - 250 + 240*h**2 - 168*h = 0 for h.
-2/5, 5
Let g(t) be the first derivative of t**4/5 - 272*t**3/15 + 394*t**2/5 - 104*t - 1587. What is u in g(u) = 0?
1, 2, 65
Let f(w) be the first derivative of -92/7*w**2 + 2116/7*w + 209 + 4/21*w**3. Factor f(c).
4*(c - 23)**2/7
Suppose -2/15*m**5 - 8/3*m**4 + 0 + 32/3*m**2 - 64/5*m**3 + 160/3*m = 0. What is m?
-10, -2, 0, 2
Let g(t) = -5*t**2 + 135*t - 128. Let f be g(26). Let s(y) be the first derivative of 12 + 0*y**3 - y + 3/4*y**f - 1/8*y**4. Factor s(c).
-(c - 1)**2*(c + 2)/2
Suppose 124*l - 1122*l**2 + 2391*l**2 + 8 - 1209*l**2 = 0. What is l?
-2, -1/15
Let u(j) be the second derivative of j**4/108 + 16*j**3/9 + 95*j**2/18 + 1504*j + 2. Factor u(t).
(t + 1)*(t + 95)/9
Factor 3*a**2 + 4*a - 14*a + 6 + 69 - 32*a + 12*a.
3*(a - 5)**2
Determine g so that -35710*g + 122*g**2 + 35710*g + 2*g**3 = 0.
-61, 0
Let x(i) be the third derivative of i**6/140 + 2*i**5/35 - 67*i**4/28 - 10*i**3 + 551*i**2. Factor x(z).
6*(z - 7)*(z + 1)*(z + 10)/7
Let k(j) be the first derivative of 2*j**3/33 + 688*j**2/11 + 236672*j/11 + 2054. Find m, given that k(m) = 0.
-344
Let k(c) = -6*c + 128. Let i be k(21). Let 280*b**2 + 15 - 543*b**i - 35*b - 5*b**3 + 288*b**2 = 0. Calculate b.
1, 3
Let i = -127 - 124. Let k = i + 254. Factor 15/7*p**4 + 0 - 3/7*p**k - 3/7*p**2 + 0*p - 9/7*p**5.
-3*p**2*(p - 1)**2*(3*p + 1)/7
Determine b, given that -438/7*b**3 + 2/7*b**5 + 0 - 830/7*b**2 + 1300/7*b - 34/7*b**4 = 0.
-5, 0, 1, 26
Let w be (112/(-350))/(16/(-20)) - 128/(-30). Determine v, given that w*v**2 + 0 + 13/3*v + 1/3*v**3 = 0.
-13, -1, 0
Let k be (60162/28455 + (-10)/14 + 1)/1. Factor -k*t + 2 + 2/5*t**2.
2*(t - 5)*(t - 1)/5
Let q(l) be the first derivative of -25*l**6/6 - 38*l**5 + 105*l**4/4 + 190*l**3/3 - 40*l**2 - 1157. What is f in q(f) = 0?
-8, -1, 0, 2/5, 1
Let y be (-112)/(-252)*((-55)/(-10) - 1). Let t(w) be the third derivative of 7/72*w**6 + 33*w**y + 0 + 0*w + 0*w**3 + 4/9*w**5 + 5/18*w**4. Factor t(g).
5*g*(g + 2)*(7*g + 2)/3
Let y(b) be the second derivative of 0*b**3 - 1/480*b**5 + 1/64*b**4 - 6*b**2 - 23*b + 0. Let s(j) be the first derivative of y(j). Factor s(a).
-a*(a - 3)/8
Let b(j) be the third derivative of -j**5/210 + 2*j**4/7 + 16*j**3/3 + 3*j**2 - 3. Suppose b(x) = 0. What is x?
-4, 28
Factor 24/13 - 2/13*n**2 + 22/13*n.
-2*(n - 12)*(n + 1)/13
Let k be (123363/(-18276))/(18/(-8)). Factor 9/2*m**k - 27*m**2 + 54*m + 0 - 1/4*m**4.
-m*(m - 6)**3/4
Let y(k) be the first derivative of -2/45*k**3 - 16/15*k**2 + 24/5*k + 238. Factor y(l).
-2*(l - 2)*(l + 18)/15
Let u(a) be the third derivative of -451/90*a**5 + 0*a + a**2 + 7/36*a**6 + 52/9*a**3 + 2 - 14/9*a**4. Find s such that u(s) = 0.
-2/5, 2/7, 13
Let n = -722/205 - -680734/1435. Let q = -470 + n. Factor q*a + 0 - 2/7*a**2.
-2*a*(a - 3)/7
Let q(y) be the first derivative of y**6/30 - 2*y**4/3 - 45*y**2/2 + 3. Let j(f) be the second derivative of q(f). Factor j(i).
4*i*(i - 2)*(i + 2)
Let c(q) = -1843*q**2 + 175*q + 44. Let b(w) = 3688*w**2 - 349*w - 72. Let y(u) = -6*b(u) - 10*c(u). Solve y(d) = 0.
2/43
Factor -468/5*j + 368/5 + 102/5*j**2 - 2/5*j**3.
-2*(j - 46)*(j - 4)*(j - 1)/5
Let z(f) = -4*f**3 - f + 2. Let b be z(-3). Let r = -47 + b. Factor 63*q**2 - 129*q**2 + r*q**2 - 4*q + q**3.
q*(q - 2)*(q + 2)
What is l in 12/5 - 2/5*l**3 + 12/5*l**2 - 22/5*l = 0?
1, 2, 3
Let s(g) be the second derivative of -g**4/6 - 74*g**3/3 - 213*g**2 - 96*g - 5. Factor s(c).
-2*(c + 3)*(c + 71)
Suppose 0 = 3*w - 3*d - 9, -4*d - 31 + 19 = w. Let g be 8/6 - (-2)/(-3). Factor -4/3*x - 2*x**2 + 0*x**3 + g*x**4 + w.
2*x*(x - 2)*(x + 1)**2/3
Suppose -936 = -3*p - 4*k, -p + 936 = 2*p + 6*k. Suppose 8 = 316*x - p*x. Factor -24/5*d**4 + 9/5*d**3 + 0*d + 0 + 0*d**x - 9/5*d**5.
-3*d**3*(d + 3)*(3*d - 1)/5
Let p(i) be the third deriv