3*q**3 + 242*q + 638. Let z(x) = 355*x**3 - 6535*x - 17225. Let n(w) = -55*d(w) - 2*z(w). Factor n(p).
5*(p - 8)*(p + 4)**2
Let o be ((-29)/10440)/((-23)/69). Let y(w) be the second derivative of -21*w + o*w**6 + 0 - 3/4*w**2 - 3/80*w**5 + 11/24*w**3 - 1/16*w**4. Factor y(g).
(g - 3)*(g - 1)**2*(g + 2)/4
Let i(l) = -l**2 + 9*l - 12. Let b be i(6). Let p be (-39)/(-13)*14/b. Factor -g - p*g + 9*g + g**2.
g*(g + 1)
Let o(k) be the first derivative of -k**4/3 + 80*k**3/3 + 254*k**2/3 - 248*k + 13037. Factor o(l).
-4*(l - 62)*(l - 1)*(l + 3)/3
Let w(s) = 3*s**2 + 12*s - 6. Suppose -6*h + 10*h = 5*d + 29, -19 = 4*d + h. Let f(x) = -3*x**2 - 15*x + 6. Let l(r) = d*f(r) - 6*w(r). What is n in l(n) = 0?
-1, 2
Factor -366/7*w**3 - 1/7*w**4 - 33121/7*w**2 + 67344/7*w - 33856/7.
-(w - 1)**2*(w + 184)**2/7
Suppose -5*n = 4*z + 6 + 17, -2*n - 12 = 2*z. Let r(m) = -2*m**2 - 3*m - 8. Let o(p) = p**2 + p + 4. Let w(v) = z*o(v) - 4*r(v). Factor w(t).
(t + 1)*(t + 4)
Suppose -58 = -26*h - 3*h. Factor 8*b**4 + 20*b - 20*b**2 - 4*b**5 + 48*b**3 + 7*b**h + 69*b**2.
-4*b*(b - 5)*(b + 1)**3
Determine f, given that -1983*f**2 + 3/2*f**3 + 1310763/2*f + 0 = 0.
0, 661
Let n(h) be the second derivative of -h**4/21 + 452*h**3/21 - 25538*h**2/7 + 1079*h. Let n(j) = 0. Calculate j.
113
Find l such that -424*l**2 + 72 - 439*l**2 - 444*l**2 + 1401*l**2 + 11*l**3 + 2*l**4 + 144*l + 13*l**3 = 0.
-6, -3, -2, -1
Let z(p) be the third derivative of -p**5/80 + 1159*p**4/16 - 1343281*p**3/8 + 6348*p**2. What is v in z(v) = 0?
1159
Let g(h) be the third derivative of -h**8/420 + h**7/35 - 11*h**6/90 + h**5/5 + 13*h**3/2 - 35*h**2. Let u(d) be the first derivative of g(d). Factor u(t).
-4*t*(t - 3)*(t - 2)*(t - 1)
Let y be 3/12 + (-238)/126. Let l = -3/4 - y. Find k, given that -2/9*k + 0 - 4/3*k**3 - 8/9*k**2 - l*k**4 - 2/9*k**5 = 0.
-1, 0
Let y(i) = -17 + i + 12 + 3*i**3 - 2*i**3. Let h be y(3). Factor w**2 - h*w**2 - 21 + 32*w - 2*w**4 + 9 + 6*w**4.
4*(w - 1)**3*(w + 3)
Suppose x + 2 = 0, 3*x = -4*f - 0*x + 94. Factor -f*b**4 - 5*b**2 + 30*b**3 + 9486*b - 9486*b.
-5*b**2*(b - 1)*(5*b - 1)
Let n(z) be the third derivative of -z**7/525 + 7*z**6/120 - 4*z**5/75 - 17*z**4/120 - 5*z**2 - 216. Let n(k) = 0. Calculate k.
-1/2, 0, 1, 17
Solve 262*p**2 - 386*p**3 - 497165*p**4 + 126*p**3 + 497163*p**4 = 0 for p.
-131, 0, 1
Let z(h) be the first derivative of -10*h + 12/7*h**2 - 2/21*h**3 + 84. Factor z(g).
-2*(g - 7)*(g - 5)/7
Let m(j) = j**3 + 3*j**2 - 5*j + 7. Let p be m(-4). Let x(a) = -18*a + 2. Let k(n) = -n**2 - 92*n + 11. Let u(q) = p*x(q) - 2*k(q). Factor u(t).
2*t*(t - 7)
Let a(x) be the first derivative of -x**5/20 - 19*x**4/24 - x**3 - 2*x**2 - 19*x + 96. Let q(c) be the second derivative of a(c). Factor q(p).
-(p + 6)*(3*p + 1)
Let j(p) = -p**2 - 17*p - 5. Let z be j(-7). Let l = 65 - z. What is x in 9*x**2 - 24*x**2 + 18*x**2 - 12 - 3*x**3 + 12*x + l*x**3 = 0?
-2, 1, 2
Let h(p) be the second derivative of -p**4/42 - 202*p**3/21 + 824*p**2/7 + 2443*p. Factor h(x).
-2*(x - 4)*(x + 206)/7
Let r(o) = -o**3 + 125*o**2 + 126*o + 320. Let k be r(126). Let s(b) be the first derivative of -625/4*b**4 - 21 - 500*b**3 - 600*b**2 - k*b. Solve s(u) = 0.
-4/5
Let p(l) = 33*l**2 - 43*l - 44. Let b be p(2). Let 7/8*n**2 + 1/8*n**3 - b + n = 0. What is n?
-4, 1
Let j(a) be the first derivative of 15/2*a**4 + 0*a - 23 + 6*a**2 + 1/24*a**6 + 0*a**3 + a**5. Let r(f) be the second derivative of j(f). Factor r(s).
5*s*(s + 6)**2
Let t(a) = a**2 - a. Let q(z) = z**2 - 1. Let d(l) = -8*l**2 - 7*l + 15. Let k(h) = -2*d(h) - 22*q(h). Let o(n) = -k(n) - 2*t(n). Suppose o(u) = 0. What is u?
1, 2
Suppose -4*g + 116 = 3*u + u, 3*u - 83 = g. Suppose 60*i - 124*i**2 + 129*i**2 - u - 37 = 0. What is i?
-13, 1
Let t(j) be the second derivative of 51/8*j**4 + j - 11 - 3/40*j**5 - 867/4*j**3 + 14739/4*j**2. Factor t(y).
-3*(y - 17)**3/2
Let w(d) = -13*d**2 - 117*d + 526. Let k(b) = 3*b**2 + 4*b + 1. Let z(g) = -4*k(g) - w(g). What is h in z(h) = 0?
-106, 5
Let -164*i + 146 - 258*i + 342*i + 15*i**5 + 600*i**2 - 5*i**4 - 280*i**3 - 546 = 0. What is i?
-5, -2/3, 2
Let q = 111028 + -111026. What is s in -8/13*s + 0 + 58/13*s**q = 0?
0, 4/29
Determine w so that 3/4*w**4 - 45*w - 27 + 0*w**3 - 75/4*w**2 = 0.
-3, -2, -1, 6
Let j(r) be the first derivative of -2*r**3/9 - 23*r**2/3 - 1731. Suppose j(b) = 0. Calculate b.
-23, 0
Let o(t) = -31*t**2 + 8*t**2 - 51*t - 26*t**2 - t**3 - 3*t**3. Let z(x) = 4*x**3 + 50*x**2 + 50*x. Let p(d) = 2*o(d) + 3*z(d). Solve p(g) = 0.
-12, -1, 0
Let 23680962/5 + 2/5*x**2 - 13764/5*x = 0. What is x?
3441
Let p(z) be the second derivative of -1/22*z**4 + 1 - 1/11*z**3 - 1/11*z**2 - 1/110*z**5 - 2*z. Factor p(j).
-2*(j + 1)**3/11
Let j(v) be the third derivative of -2*v**7/105 + 7*v**6/15 + 9*v**5/5 - 370*v**4/3 + 1400*v**3/3 - 29*v**2 + 4. Let j(w) = 0. Calculate w.
-7, 1, 10
Suppose 3*q + 5*b = 46, 0 = -3*q + 2*b + 71 + 3. Let d = -7 + q. Factor d - 21 - 4*p + 9*p + 4*p - 3*p**2.
-3*(p - 2)*(p - 1)
Factor 4913 + 152*q**3 + 3179*q + 44*q**3 - 8*q**4 + 2109424*q**2 - 2110954*q**2.
-(q + 1)*(2*q - 17)**3
Suppose 105 + 3 = 9*s. Let o be 7 + (-90)/s + 1. Factor -1/2*a + 1/2*a**3 - 1/2 + o*a**2.
(a - 1)*(a + 1)**2/2
Let f(b) be the third derivative of -1/200*b**6 - 1/8*b**4 + 0*b + 77*b**2 - 3/50*b**5 + 0 + 6/5*b**3. Factor f(x).
-3*(x - 1)*(x + 3)*(x + 4)/5
Solve -6/13*p**4 + 60/13*p**3 - 570/13*p - 2/13*p**5 + 68/13*p**2 + 450/13 = 0.
-5, 1, 3
Let n(o) = 14*o**2 - 69*o + 13. Let u be n(5). Factor -u*b**2 + 9*b**3 - 3/2*b**4 + 15*b - 9/2.
-3*(b - 3)*(b - 1)**3/2
Let r(z) = -271*z + 39855. Let i be r(147). Let -i - 30*v - 27/2*v**2 - 3/2*v**3 = 0. What is v?
-6, -2, -1
Suppose -109*i = -313*i - 458*i + 1986. Let 8/13 - 8/13*x + 6/13*x**4 - 14/13*x**2 + 8/13*x**i = 0. Calculate x.
-2, -1, 2/3, 1
Factor 270*o - 123*o**2 + 62*o**4 + 51*o**4 + 60*o**3 - 116*o**4 - 204*o**2.
-3*o*(o - 10)*(o - 9)*(o - 1)
Let i be (270/4)/(117/(-195)). Let t = -111 - i. Find f such that -3/2*f**4 - 9/2*f**3 + 0 + 3*f + 3/2*f**2 + t*f**5 = 0.
-1, 0, 1, 2
Let h be 1/((-1)/7 - (-11169)/79016). Let o = h + 668. Determine f, given that 0 - 52/3*f**2 - 8/3*f - 38*f**3 - 95/3*f**o - 25/3*f**5 = 0.
-2, -1, -2/5, 0
Let r(q) = -q. Let u(a) = -2*a**5 - 58*a**4 - 540*a**3 - 1400*a**2 + 1994*a. Let n be (-1)/((0 + -2 + 1)/1). Let c(t) = n*u(t) - 6*r(t). Factor c(s).
-2*s*(s - 1)*(s + 10)**3
Let u(o) be the first derivative of -o**6/10 - 12*o**5/25 + 63*o**4/20 - 4*o**3/5 - 42*o**2/5 + 4921. Determine d so that u(d) = 0.
-7, -1, 0, 2
Let w(a) be the second derivative of a**4/3 - 334*a**3/3 + 332*a**2 - 10*a + 73. Factor w(y).
4*(y - 166)*(y - 1)
Let c be (6 - (-6 - -10)) + 34/1. Suppose 8*u + 4*u = c. Let 0 - 3/4*x + 9/4*x**2 + 3*x**u = 0. What is x?
-1, 0, 1/4
Factor 0 + 130/23*n**2 + 2/23*n**3 + 0*n.
2*n**2*(n + 65)/23
Let o be ((-469)/(-5))/((-171)/45 + 4). Suppose -478*z = -o*z. Solve z - 2/9*t**2 + 0*t = 0 for t.
0
Suppose -4*x = -7*a + 54, -4*a + 4*x - 15 = -63. Factor -2*i**a + 2/9*i**4 - 22/9*i - 8/9 - 2/9*i**3.
2*(i - 4)*(i + 1)**3/9
Factor -126/17*i**2 + 0 - 64/17*i + 2/17*i**4 - 60/17*i**3.
2*i*(i - 32)*(i + 1)**2/17
Let r = 141361/2 - 2685843/38. What is j in 6/19*j**4 + 10/19*j**3 + 0 - 2/19*j**5 - 6/19*j**2 - r*j = 0?
-1, 0, 1, 4
Factor -1077*h + 32069*h**2 - 16033*h**2 - 16040*h**2 - 5331*h.
-4*h*(h + 1602)
Let m(i) be the second derivative of i**7/42 + 67*i**6/30 + 49*i**5/2 + 539*i**4/6 + 949*i**3/6 + 295*i**2/2 + 6*i + 253. Suppose m(a) = 0. Calculate a.
-59, -5, -1
Let g be 306/(-4088) - (-20)/(-80). Let r = 18/73 - g. Factor 2/7*w**3 - 4/7*w**2 + r - 2/7*w.
2*(w - 2)*(w - 1)*(w + 1)/7
Find s such that 16*s + 8/9*s**4 + 0 + 76/9*s**3 - 76/3*s**2 = 0.
-12, 0, 1, 3/2
Suppose 4*x - 2*s = 48, s - 12 = -x + 3*s. Suppose -y + x = 2*y. Determine j so that -10*j + 6 - 46*j**3 - j + y*j**2 + 47*j**3 = 0.
-6, 1
Solve -424*h**4 + 1248*h**2 + 576 + 20145*h**5 - 20133*h**5 - 127*h**3 - 197*h**3 + 1712*h = 0 for h.
-1, -2/3, 2, 36
Let h(s) be the second derivative of -2*s**5/5 - 235*s**4/3 - 692*s**3/3 + 464*s**2 + 1376*s - 1. Factor h(o).
-4*(o + 2)*(o + 116)*(2*o - 1)
Let a(n) = -n**3 - n**2 + 7*n - 8. Let u be a(2). Let y be (160/(-240))/(40/u). What is b in y*b**3 + 0 + 3/10*b - 1/2*b**2 + 1/10*b**4 = 0?
-3, 0, 1
Let