vative of 3*h**4/4 - 748*h**3 + 421863*h**2/2 - 834774*h + 1895. Factor c(q).
3*(q - 373)**2*(q - 2)
Factor -18*b**2 + 58*b**2 + 21*b**3 + 48 + 24*b - 133*b**2.
3*(b - 4)*(b - 1)*(7*b + 4)
Factor 8*f**3 + 253 - 253 - 212*f**4 - 1028*f**5 + 52*f**5.
-4*f**3*(4*f + 1)*(61*f - 2)
Let d(g) be the third derivative of g**5/160 - g**4/16 - 45*g**3/16 - 20*g**2 - 9. Factor d(m).
3*(m - 9)*(m + 5)/8
Let x(j) be the third derivative of -j**5/80 + 19*j**4/32 - 9*j**3/4 + 52*j**2 + 8*j. What is z in x(z) = 0?
1, 18
Let l be ((-54)/564)/(((-7)/(-16))/7). Let o = 536/141 - l. Let -28/3*w**5 + 32/3*w**2 + 0 + 28*w**3 + 8/3*w**4 - o*w = 0. What is w?
-1, 0, 2/7, 2
Suppose -2*k + 8 + 10 = 0. Suppose 2 = w - v - 5, -3*v = k. Suppose -17*n**3 + 3*n**w + 9*n + 3*n**2 + 5*n**3 - 6 + 3*n**3 = 0. What is n?
-1, 1, 2
Let k(l) = -42*l - 7. Let c be k(-1). Solve 65*d**2 - 4*d**4 - 16*d**3 + 4*d**4 + 41*d**3 + c*d - 5*d**4 = 0 for d.
-1, 0, 7
Let o = -2299/3780 + 17/27. Let d(s) be the third derivative of 5*s**2 - o*s**6 + 3/7*s**4 + 0 - 1/140*s**5 + 0*s - 8/7*s**3 - 1/490*s**7. Factor d(p).
-3*(p - 1)**2*(p + 4)**2/7
Let k(j) = -4*j + 7. Let a be k(4). Let i be 4 - 2/3*a/(-3). Solve 6 - 6 + 10*y + 8 + i*y**2 = 0 for y.
-4, -1
Let w = 246 + -240. Let r(v) = -v**4 - v**3 - v**2 + v. Let a(n) = -4*n**4 + 2*n**3 + 12*n**2 - 2*n - 14. Let x(j) = w*r(j) - 2*a(j). Find d such that x(d) = 0.
-2, -1, 1, 7
Factor -248/11*y**3 + 1922/11*y**4 + 0*y + 0 + 8/11*y**2.
2*y**2*(31*y - 2)**2/11
Let r(s) be the first derivative of 1/2*s**6 + 4*s**3 - 9/5*s**5 + 64 + 0*s + 0*s**2 + 0*s**4. Suppose r(w) = 0. Calculate w.
-1, 0, 2
Factor 6*u + 16/3*u**2 + 2/3*u**3 - 12.
2*(u - 1)*(u + 3)*(u + 6)/3
Let f be (-1 - -2) + -2 + (-6)/(-2). Let j be 13/f - 5 - 2/(-4). What is q in -2*q**j + 2/3 + 4/3*q**3 + 0*q = 0?
-1/2, 1
Let j(q) = -286*q + 10*q**2 + 130*q + 144*q - q**3 - 12. Let h be j(8). Find b such that 5*b**3 - 33*b**3 + 325*b**2 - 192*b - h*b**3 + 36 - 121*b**3 = 0.
6/13, 1
Let p = 437599 - 3063191/7. Factor -2 - p*z**2 - 16/7*z.
-2*(z + 1)*(z + 7)/7
Let t = 51827/5 + -155471/15. Factor -2/3*d - t*d**3 + 0 - 4/3*d**2.
-2*d*(d + 1)**2/3
Let y(v) be the third derivative of -v**5/210 + 895*v**4/84 - 1786*v**3/21 + v**2 + 346*v + 2. Determine m so that y(m) = 0.
2, 893
Let o(c) be the second derivative of -4/21*c**3 - 5*c - 1/28*c**4 - 5*c**2 + 1/210*c**5 + 0. Let j(r) be the first derivative of o(r). Solve j(l) = 0.
-1, 4
Let a(n) be the second derivative of -2*n**7/21 + 34*n**6/15 - 41*n**5/5 - 17*n**4/3 + 28*n**3 - 156*n + 2. Solve a(z) = 0.
-1, 0, 1, 3, 14
Let a(g) = g**2 + 25*g - 15. Let t be a(-26). Let -t + 9*y**2 - 7 + 29 - y**3 + 21*y = 0. What is y?
-1, 11
Let a(z) be the second derivative of z**4/6 - 11*z**3/3 + 24*z**2 - 13*z - 1. Find n such that a(n) = 0.
3, 8
Let d(h) be the first derivative of -2*h**3/39 - h**2 - 84*h/13 - 1494. Factor d(u).
-2*(u + 6)*(u + 7)/13
Let x be -13*(10/35)/((-26)/14). Let t(f) be the second derivative of 16/9*f**x + 0 - f - 8/27*f**3 - 1/90*f**5 - 7/54*f**4. Suppose t(p) = 0. What is p?
-4, 1
Suppose n = 16*n - 3660. Suppose 0 = 42*t - 37*t - 400. Solve -247*k**4 - n*k**2 + 2*k - 254*k**3 - t*k - 8 + 199*k**4 + 32*k**5 = 0 for k.
-1, -1/4, 4
Let r(n) = 8*n**2 + 26*n - 55. Let g be r(2). Solve 21*f**2 - 74*f**2 + g*f**2 + 20*f + 4*f**3 = 0 for f.
0, 1, 5
Suppose 2*l + u = 7, -42*u - 15 = -5*l - 47*u. Let h(b) be the third derivative of -2*b**2 + 0*b**3 + 0*b - 3/64*b**l + 0 + 1/160*b**5. Factor h(v).
3*v*(v - 3)/8
Let t(a) = 17*a**4 + 135*a**3 - 7*a + 14. Let i(c) = 12*c**4 + 90*c**3 - 5*c + 10. Let f(k) = -7*i(k) + 5*t(k). Factor f(x).
x**3*(x + 45)
Let c(f) = -f**3 - 6*f**2 - 3*f + 2. Let z(b) = 8*b**3 + 49*b**2 + 25*b - 14. Let h be 8/(-16)*(-102)/1. Let l(w) = h*c(w) + 6*z(w). Factor l(g).
-3*(g - 1)*(g + 2)*(g + 3)
Find v, given that -1/3*v**2 - 20164/3 + 284/3*v = 0.
142
Let a = 56168 + -56164. Determine y so that -32*y**2 + 98/3 - 28/3*y + 28/3*y**3 - 2/3*y**a = 0.
-1, 1, 7
Let w(q) be the second derivative of -3*q**5/4 + 125*q**4/6 - 205*q**3/6 - 235*q**2 - 828*q - 1. Factor w(m).
-5*(m - 2)*(m + 1)*(3*m - 47)
Let j(r) be the third derivative of r**5/135 + 5*r**4/9 + 112*r**3/27 - 2*r**2 - 2*r + 646. Let j(a) = 0. What is a?
-28, -2
Suppose 0 = 2*y + j, 58*j = 53*j - 40. Factor 0 + 2/3*x**y - 5/3*x**2 - 1/2*x**3 + 4/3*x + 1/6*x**5.
x*(x - 1)**2*(x + 2)*(x + 4)/6
Let p(r) = -426*r - 3*r**2 + 423*r + 3 - 4 + 4*r**2 + 2. Let g(q) = 2*q**2 + 61*q + 1025. Let z(o) = -5*g(o) + 5*p(o). Determine s, given that z(s) = 0.
-32
Let r(v) be the first derivative of 4*v**3/3 + 54*v**2 - 1296*v - 2579. Let r(u) = 0. What is u?
-36, 9
Let k(y) = 0*y + 2*y + 7*y + 19*y + 65 - 7*y. Let f be k(-3). Factor 5*v**3 - 4/5*v**4 + 0 + 9/5*v - 42/5*v**f.
-v*(v - 3)**2*(4*v - 1)/5
Let w(m) be the third derivative of 38*m**2 + 1/72*m**4 + 1/120*m**5 - 1/2016*m**8 - 1/420*m**7 + 0 + 0*m**3 - 1/720*m**6 + 0*m. Find b, given that w(b) = 0.
-2, -1, 0, 1
Suppose 6*z = -39 + 51. What is y in 1941 - 9*y - 3*y - 82*y - 34*y + z*y**2 + 107 = 0?
32
Let c(p) be the third derivative of -p**5/15 + 79*p**4/6 - 200*p**3 - 613*p**2. Factor c(g).
-4*(g - 75)*(g - 4)
Let v be (-191)/(-2101) + 21/11. Suppose 2*r - i = 29, 24 = -0*r + 2*r - 2*i. Find q, given that 14*q**v + r*q**4 - 90*q**3 + 11*q**4 + 0*q**4 + 12*q = 0.
-2/7, 0, 1/2, 3
Let a(p) be the first derivative of p**8/2100 + p**7/350 + p**6/225 + 33*p**3 - 228. Let r(z) be the third derivative of a(z). Factor r(u).
4*u**2*(u + 1)*(u + 2)/5
Suppose -17*x - 1305 = 21. Let t be 90/80*(-4 + x/(-9)). Suppose t*u**2 - 5*u**3 - 25/4*u**4 + 5*u + 1 = 0. Calculate u.
-1, -2/5, 1
Suppose 0 = -d + 3, -4*p + 2*d = -8*p - 1258. Let v = -316 - p. Factor 0*a**2 + v + 1/3*a**3 - 1/3*a.
a*(a - 1)*(a + 1)/3
Let y be -2*-5*(-8)/(-80). Let b(d) = -19*d + 21. Let f be b(y). Solve -3/2*u**5 - 9/2*u**f + 3*u + 9/2*u**4 - 3/2*u**3 + 0 = 0.
-1, 0, 1, 2
Let t be (-10)/(-200)*((-5329)/(-1752) + (-3)/8). Determine y so that -t*y**4 + 8/15*y**3 + 2/5*y**2 - 4/3*y - 16/15 = 0.
-1, 2, 4
Factor 9075*v + 1290*v**3 + 620 + 811 + 3*v**5 + 2562 + 105*v**4 + 6270*v**2.
3*(v + 1)**2*(v + 11)**3
Suppose 2*t + 15 = 7*t. Let d = -2990 + 2995. Determine g, given that 10*g**2 + 5*g**2 - 15*g**4 + 7*g**d + 0*g**4 + 3*g**5 - 20*g**t + 10*g = 0.
-1, -1/2, 0, 1, 2
Let y(a) = 61*a + 490. Let v be y(-8). Suppose -4*m + v*w + 14 = 0, -26*m + 4*w = -29*m - 6. Factor 3/2*o**3 + 3/2*o**4 + 0*o + 0 + 0*o**m.
3*o**3*(o + 1)/2
Let i(p) = 55*p**3 - 453*p**2 + 1254*p - 828. Let d(a) = -39*a**3 + 303*a**2 - 836*a + 552. Let b(n) = -7*d(n) - 5*i(n). Find z, given that b(z) = 0.
1, 2, 69
Let l(s) be the first derivative of 6/5*s**5 - 5 + 0*s + 12*s**2 - 13/2*s**4 + 16/3*s**3. What is h in l(h) = 0?
-2/3, 0, 2, 3
Suppose 76 + 14 = 15*x. Let q be ((-2 + 0)*x)/((-315)/70). Let -q*m**3 + 0 - 8/3*m**4 - 2/3*m**5 + 0*m + 0*m**2 = 0. Calculate m.
-2, 0
Let z(x) = 6*x**3 + 74*x**2 + 749*x + 5. Let y(j) = -5*j**3 - 70*j**2 - 745*j - 4. Let p(o) = 5*y(o) + 4*z(o). Determine w, given that p(w) = 0.
-27, 0
Let n = 300 + -292. Let c be (-22*(-1)/n + -3)*0. Factor 0 + 0*o**2 + 4/3*o**3 + 2/3*o**4 + c*o.
2*o**3*(o + 2)/3
Let f(y) = 2555*y**3 + 46050*y**2 + 7105*y + 280. Let d(t) = -1704*t**3 - 30701*t**2 - 4739*t - 187. Let r(n) = -10*d(n) - 7*f(n). What is z in r(z) = 0?
-18, -1/13
Let k = 43955/6 + -7353. Let t = 167/6 + k. Factor 1/6*a**3 + 1/6*a**2 - t - 2/3*a.
(a - 2)*(a + 1)*(a + 2)/6
Let z be ((-2 + -1)*1)/(42/8600). Let g = -612 - z. Find p such that -2/7*p**3 - g - 24/7*p - 12/7*p**2 = 0.
-2
Solve 0 + 336/5*b - 892/5*b**3 - 74/5*b**4 - 472/5*b**2 + 2*b**5 = 0 for b.
-6, -1, 0, 2/5, 14
Let h = -696827/5 - -139366. Determine u so that -7/5*u**3 - h*u - 14/5*u**2 + 4/5*u**4 + 0 = 0.
-1, -1/4, 0, 3
Let a = -5591/10 - -1129/2. Let b(p) be the second derivative of -6/5*p**3 + 0 + 1/10*p**4 + 7*p + a*p**2. Factor b(g).
6*(g - 3)**2/5
Factor -12*s - 288/5 + 3/5*s**2.
3*(s - 24)*(s + 4)/5
Let k(c) = -57*c + 9921. Let w be k(174). Suppose -25/2*f**2 - 8*f - 3/4*f**w + 0 = 0. What is f?
-16, -2/3, 0
Let l(d) be the first derivative of -d**5/150 + d**3/15 + 2*d**2/15 + 49*d - 30. Let f(z) be the first derivative of l(z). What is v in f(v) = 0?
-1, 2
Let w = -88620 - -265876/3. Suppose w*r + 32/3*r**4 + 