et c(x) be the first derivative of j(x). Factor c(t).
2*t*(t - 9)*(t + 1)/5
Factor -5822/9*s + 388/3 + 10/9*s**2.
2*(s - 582)*(5*s - 1)/9
Let k = 52658/5 + -105211/10. Factor 4*m**2 + 9 - k*m - 1/2*m**3.
-(m - 3)**2*(m - 2)/2
Let s = -441 + 436. Let r(n) = -6*n**3 - 29*n**2 - 23*n. Let d(y) = 2*y**3 + 14*y**2 + 12*y. Let f(j) = s*d(j) - 2*r(j). Find p such that f(p) = 0.
-1, 0, 7
Let v(o) be the second derivative of o**4/42 - 172*o**3/7 - 517*o**2/7 - 1138*o. Factor v(j).
2*(j - 517)*(j + 1)/7
Let o(b) be the third derivative of -b**5/600 - 11*b**4/80 + 14*b**3/3 - 847*b**2. Factor o(x).
-(x - 7)*(x + 40)/10
Factor 1/3*m**4 + 59/3*m**3 + 210 + 439*m + 745/3*m**2.
(m + 1)**2*(m + 15)*(m + 42)/3
Let d be (-30)/(-7) - (-2)/(-7). Let v be (((-8)/(-7))/((-45)/126))/(1/(-5)). Factor -21*a**2 - 3 - 5 + v + 36*a + d.
-3*(a - 2)*(7*a + 2)
Let l(f) be the second derivative of -f**7/168 - 7*f**6/60 + 17*f**5/80 + 5*f**4/8 + 4*f - 79. Solve l(i) = 0 for i.
-15, -1, 0, 2
Let k(j) be the third derivative of 0*j**5 + 10/3*j**3 + 0*j + 0 + 1/60*j**4 - 1/900*j**6 - 16*j**2. Let h(d) be the first derivative of k(d). Factor h(c).
-2*(c - 1)*(c + 1)/5
Let o(c) = 7*c**2 + 7*c - 36. Let n be o(-9). Let d = n + -468. Determine q so that -2/5*q**4 - 26/5*q**3 - 72/5*q + d - 96/5*q**2 = 0.
-6, -1, 0
Factor 28/3 - 2*l**2 - 38/3*l + 14/3*l**3 + 2/3*l**4.
2*(l - 1)**2*(l + 2)*(l + 7)/3
Let h(j) = -43*j**4 + 121*j**3 - 380*j**2 + 542*j - 229. Let a(i) = -63*i**4 + 181*i**3 - 570*i**2 + 812*i - 344. Let k(f) = -11*a(f) + 16*h(f). Factor k(v).
5*(v - 6)*(v - 2)**2*(v - 1)
Solve -4276/9*j - 952 + 4/9*j**2 = 0 for j.
-2, 1071
Solve 876/5*o + 216/5 + 16/5*o**4 - 156/5*o**3 + 8/5*o**2 = 0 for o.
-2, -1/4, 3, 9
Let r(x) = -27*x**4 - 13*x**3 - 11*x**2 + 8*x + 8. Let l(y) = -16*y**4 - 7*y**3 - 6*y**2 + 4*y + 4. Let p(f) = 5*l(f) - 3*r(f). Factor p(a).
(a - 1)*(a + 1)*(a + 2)**2
Let t(g) be the second derivative of 1 + 11*g + 7/54*g**4 + 0*g**2 + 1/45*g**5 + 4/27*g**3 - 1/135*g**6. Suppose t(x) = 0. What is x?
-1, 0, 4
Let l(t) = t**3 + 12*t**2 - 110*t - 1148. Let w be l(-14). What is c in 0 + w*c + 0*c**2 - 24/5*c**3 + 21/5*c**4 = 0?
0, 8/7
Suppose 1254*v + 112 = 1294*v - 48. Factor 24/5*s + 22/5*s**2 - 2/5*s**v - 72/5 - 4/5*s**3.
-2*(s - 2)**2*(s + 3)**2/5
Let t(v) be the first derivative of -v**6/24 + 13*v**5/20 + 17*v**4/8 - 173*v**3/6 - 1185*v**2/8 - 819*v/4 + 4019. Let t(g) = 0. Calculate g.
-3, -1, 7, 13
Let p(s) = 5*s**2 - 15 + 34*s - 68*s - 3*s**2 - 3*s**2 + 42*s. Let l be p(3). Solve -9/5*t**2 + l*t + 6/5*t**3 + 0 + 3/5*t**4 = 0 for t.
-3, 0, 1
Let f(w) be the first derivative of 3*w**3/4 + 237*w**2/8 + 39*w/2 + 6729. Factor f(q).
3*(q + 26)*(3*q + 1)/4
Let l be 4/24 + (3 - (-1382)/(-12)). Let p be ((-24)/l)/(3/2). Factor 0 - 4/7*z + p*z**2.
z*(z - 4)/7
Suppose -2337 = -2*q + 4*t + 163, -6274 = -5*q + 4*t. Let j = q - 1254. Find h such that 0 + 3/2*h**5 + 4*h**j - 17/6*h**3 + 2*h - 10/3*h**2 = 0.
-3, -1, 0, 2/3
Let o be 2/8 - ((-740)/(-32) + -26). Factor 1/8*d**5 + 2*d + 7/8*d**4 + o*d**2 + 19/8*d**3 + 1/2.
(d + 1)**3*(d + 2)**2/8
Let x = -358174/195 - -23880/13. Let o(g) be the third derivative of 0*g - 4/3*g**4 + 0 - x*g**5 + 0*g**3 - 1/240*g**6 - 45*g**2. Factor o(z).
-z*(z + 8)**2/2
Let d(y) be the second derivative of 1/6*y**3 + 102*y - 1/20*y**5 + 3/2*y**2 + 0 - 1/4*y**4. Factor d(z).
-(z - 1)*(z + 1)*(z + 3)
Let z be 67*15/279 + (-4)/(-6)*627/6479. Factor 0*d + z*d**2 - d**3 + 0.
-d**2*(3*d - 11)/3
Let s(o) be the first derivative of 28/3*o + 3*o**2 - 28 + 2/9*o**3. Find p such that s(p) = 0.
-7, -2
Let o(k) be the second derivative of 1/168*k**7 - 1/40*k**6 - 3 + 0*k**3 + 0*k**2 + 3*k + 0*k**4 + 1/40*k**5. Factor o(h).
h**3*(h - 2)*(h - 1)/4
Let r(f) = -f**2 + 9*f + 25. Let q be r(11). Factor -16*c - 24 - q*c**2 - 16*c + 14*c.
-3*(c + 2)*(c + 4)
Let r = -70132 + 70134. Solve 0 - 4/3*s**4 - 4*s + 2/3*s**r + 10/3*s**3 = 0 for s.
-1, 0, 3/2, 2
Suppose 21 = w - 1. Let j(i) = i + 89. Let s be j(-9). Determine v, given that s*v - 9 - 11 - w*v**2 - 13*v**2 = 0.
2/7, 2
Let w = 4629/638 + -1836/319. Let w*l - 5/3 + 1/6*l**2 = 0. Calculate l.
-10, 1
Factor 1572 + 34*h + 2*h**3 + 1565 - 16*h**2 - 4740 + 1583.
2*(h - 5)*(h - 2)*(h - 1)
Suppose -43 = 62*z - 34 - 257. Let t(q) be the third derivative of 0*q - 5*q**2 + 0 - 1/60*q**z + 1/150*q**5 - 2/5*q**3. Find v, given that t(v) = 0.
-2, 3
Factor -32/3*a**2 + 0 + 6*a.
-2*a*(16*a - 9)/3
Let o(v) be the second derivative of -v**6/30 + 4*v**5/15 + 5*v**4/6 - 16*v**2 - 5*v + 2. Let u(m) be the first derivative of o(m). Factor u(c).
-4*c*(c - 5)*(c + 1)
Let z be 24/15 - 1284/15. Let o = -84 - z. Factor -4/3*n**2 + o + 1/3*n.
-n*(4*n - 1)/3
Let j(l) be the second derivative of l**5/90 - 7*l**4/6 + 62*l**3/27 + 26*l + 13. Factor j(q).
2*q*(q - 62)*(q - 1)/9
Let u be (35/140)/(-1*2/(-24)). Let q be u - 3 - 1 - -4. Let 5 + 18*f**3 - 11*f - 8*f**3 - 3 - f**q + 12*f**2 = 0. Calculate f.
-2, 1/3
Let q be 11/(-55) + 122/10. Suppose 4*i + 0 = q. Find s such that -12*s**2 + 26*s**2 - 5*s**4 - 20*s - 9*s**2 + 20*s**i = 0.
-1, 0, 1, 4
Determine s so that 470*s**3 - 289*s - 157*s**2 + 82 + 465*s**3 - 931*s**3 = 0.
-2, 1/4, 41
Let k(a) be the third derivative of 16129*a**6/180 + 2921*a**5/18 - 124*a**4/3 + 4*a**3 + 716*a**2 - a. Determine q, given that k(q) = 0.
-1, 6/127
Suppose -420*x + 624 = -396*x. Suppose -f + 14 = s, 0*s - 2*s - f = -24. Suppose 36*k**2 + 70*k - x*k**4 + s*k**3 + 30 + 21*k**4 - 5 + 24*k**2 = 0. What is k?
-1, 5
Find d such that 7935 - 5*d**3 - 2444*d**2 + 22483*d + 19147*d + 71*d**3 - 1221*d**2 + 14*d**3 = 0.
-3/16, 23
Let i(g) be the first derivative of -g**5 - 105*g**4/2 - 214. Factor i(v).
-5*v**3*(v + 42)
Suppose -4*d = 5*z + 252, 134 = -5*z + d - 103. Let w be ((-46)/(-4) - 1)*z/(-14). Let -w*n**4 - 25*n**2 + 195/2*n**3 + 7/2*n**5 + 0*n + 0 = 0. What is n?
0, 2/7, 5
Let y(x) = 5*x**3 - 515*x**2 + 810*x - 720. Let s(h) = 13*h**2 + h. Let z(i) = 30*s(i) + y(i). Factor z(v).
5*(v - 12)**2*(v - 1)
Let t(y) be the first derivative of -y**6/600 - y**5/200 + y**4/20 + 2*y**3/3 - 3*y**2 - 54. Let p(z) be the third derivative of t(z). Factor p(r).
-3*(r - 1)*(r + 2)/5
Solve -44*s**2 + 0 + 25/9*s**5 + 8*s - 245/9*s**4 + 634/9*s**3 = 0.
0, 2/5, 3, 6
Factor -37/2*t + 153 + 1/6*t**2.
(t - 102)*(t - 9)/6
Let p(d) = 125*d**3 + 455*d**2 - 1511*d - 2189. Let b(u) = 26*u**3 + 90*u**2 - 302*u - 438. Let r(q) = 29*b(q) - 6*p(q). What is s in r(s) = 0?
-1, 4, 27
Let g(i) be the third derivative of -i**6/300 - 18*i**5/25 + 612*i**2. Factor g(u).
-2*u**2*(u + 108)/5
Let d(l) = 60*l - 115. Let u be d(2). Solve 21*r**3 - 27*r + 26*r**3 - 49*r**3 + u*r**3 + 12*r**2 + 6*r - 30 = 0 for r.
-5, -1, 2
Let d be 26/((4 - 3)/(2 + -4)). Let i be (d/(-12) + -3)/(1/9). Solve i*t**3 + 11*t**4 + 2 - 2 - 15*t**4 - 8*t**2 = 0.
0, 1, 2
Let o(f) = -3*f - 1. Let t(u) = 4*u**2 - 2103*u + 278787. Let w(c) = 3*o(c) + t(c). Determine v so that w(v) = 0.
264
Let s be (4/52)/(516/559). Let q(j) be the first derivative of 1/16*j**4 - s*j**3 + 0*j - 22 - 1/4*j**2. Factor q(i).
i*(i - 2)*(i + 1)/4
Suppose -3*z + 7*z + 5*n - 18 = 0, n = -4*z + 10. Let k = 159 - 156. Factor 7*a - z*a - a**5 - 10*a**k + 6*a**5.
5*a*(a - 1)**2*(a + 1)**2
Let h(k) be the third derivative of k**6/12 - 437*k**5/30 + 151*k**4/3 - 172*k**3/3 + 47*k**2 + 34*k. Find r, given that h(r) = 0.
2/5, 1, 86
Suppose -4*v = 0, 7*h - 3*v - 1504 = 3*h. Suppose 5*q + h = 376. Factor -5/6*m**3 - 1/6*m**4 + q*m + 0 - 2/3*m**2.
-m**2*(m + 1)*(m + 4)/6
Factor 6*c**3 + 4*c**2 - 2*c**5 + 0*c + 6*c**3 - 5 - 1 - 16*c + 6*c + 2*c**4.
-2*(c - 3)*(c - 1)*(c + 1)**3
Let s be 8*(-5)/(-80)*12 - 3. Factor 47 - 2*o**s + 14*o - 77 + 42.
-2*(o - 3)*(o + 1)*(o + 2)
Suppose 2*z - 28*i = -24*i + 6, 3*i - 8 = -z. Let c(q) be the third derivative of 0*q - 2/27*q**3 + 0 + 1/270*q**z - 1/108*q**4 + 8*q**2. Factor c(v).
2*(v - 2)*(v + 1)/9
Let 5/4*n**2 + 1425/4 - 85/2*n = 0. What is n?
15, 19
Let n(q) be the third derivative of q**6/360 + 5*q**5/36 + 47*q**4/72 + 23*q**3/18 + 1720*q**2. Solve n(f) = 0 for f.
-23, -1
Let o be 24/56 + (10 - (8 - (-8020)/(-70))). Factor 3/5*p**3 + o*p + 135 - 87/5*p**2.
3*(p - 15)**2*(p + 1)/5
Let r(d) be the third derivative of 0*d**3 + 0*d**4 + 1/315*d**7 + 0 + 2*d**2 - 1/10*d**6 + 3*d + 17/90*d**