f**4/48 - 65*f**2/2 + 4*f - 5. Let z(h) be the first derivative of c(h). Determine b, given that z(b) = 0.
0, 2/11
Determine y so that 57/4*y**2 + 15/2*y**3 + 0 + 7*y + 1/4*y**4 = 0.
-28, -1, 0
Let k(z) be the third derivative of z**6/720 - z**5/90 - 11*z**4/144 + 5*z**3/6 - 94*z**2. Factor k(n).
(n - 5)*(n - 2)*(n + 3)/6
Let s(a) be the first derivative of -2/39*a**3 + 5/13*a**2 - 67 + 0*a. Factor s(g).
-2*g*(g - 5)/13
Let k(x) = -x**3 + x**2 + 2*x - 1. Let j(w) = 4*w**3 + 10*w**2 - 34*w + 18. Let n be 8 - (13 - (-2 - -6)). Let p(m) = n*j(m) - 2*k(m). Factor p(q).
-2*(q - 1)**2*(q + 8)
Let m be (-45)/(-12)*16/10 - 6. Let o(f) be the second derivative of -3/20*f**5 - 3/2*f**3 + 1/10*f**6 + 18*f + m - 5/4*f**4 + 0*f**2. Solve o(j) = 0.
-1, 0, 3
Let a(j) be the first derivative of -2*j**5/5 + 57*j**4/2 - 628*j**3 + 3692*j**2 - 8112*j - 69. Find f, given that a(f) = 0.
2, 3, 26
Let u(x) be the second derivative of x**6/40 - 63*x**5/20 + 163*x**4/16 + 21*x**3/2 - 123*x**2/2 + 2*x - 534. Suppose u(p) = 0. Calculate p.
-1, 1, 2, 82
Let j(p) = 10*p**2 - 1. Let z(r) = 71*r**2 - 492*r + 60509. Let i(c) = 28*j(c) - 4*z(c). Factor i(v).
-4*(v - 246)**2
Suppose -56*g = -28*g - 168. Suppose 0 = i + 1 - 7. Factor 3*y + i*y + 95*y**2 - 98*y**2 - g.
-3*(y - 2)*(y - 1)
Let a be (-4)/(-1*(-1)/((-12)/16)). Factor 11*j**3 + 4*j**a - 4*j**4 - 7*j**3.
-4*j**3*(j - 2)
Let s(p) be the third derivative of p**6/1080 + p**5/9 + 50*p**4/9 - 5*p**3/6 - 2*p**2 - 8. Let y(w) be the first derivative of s(w). Factor y(f).
(f + 20)**2/3
Let t be (-2)/(-18)*876/4. Suppose -62*z + 61*z = q - 4, 5*q + 8 = 2*z. Solve 35/6*f**5 + t*f**3 + q + 43/2*f**4 + 10*f**2 + 4/3*f = 0.
-2, -1, -2/5, -2/7, 0
Let 180/7*o + 12/7*o**2 - 3/7*o**3 - 864/7 = 0. Calculate o.
-8, 6
Let n be -36*(66 - (-627330)/(-9504)). Factor -9/4*s**3 + 0*s - 3/2*s**4 + 0*s**2 - n*s**5 + 0.
-s**3*(s + 3)**2/4
Let p(n) be the first derivative of -39 + 9*n**3 - 9/2*n**2 - 6*n - 9/5*n**5 - 3/4*n**4. Determine m, given that p(m) = 0.
-2, -1/3, 1
Let u = 379805 + -3418243/9. Find i, given that -u*i**2 + 296/9*i - 10952/9 = 0.
74
Let i be 4/6 - 16/(-12). Suppose -439 = -i*h - 21. Determine k, given that 211 + 3*k**2 - k**2 - k**4 - h - 5*k + k**2 + k**3 = 0.
-2, 1
Let h(x) = x**3 + 7*x**2 - 11*x + 65. Let n be h(-9). Find g such that n*g**2 - 27*g + 2*g**2 - 184 + 111*g = 0.
-23, 2
Suppose -6 = -4*p + 2. Let v(m) = 3*m**2 + 152*m + 625. Let a be v(-4). Find y such that -32*y**p - 29*y**2 - 32*y + a*y**2 + 64 = 0.
4
Let z(n) = -6*n**2 - 120*n + 141. Let h(g) = 20 + 12*g**2 + 10*g - 30*g**2 - 27*g + 17*g**2. Let f(c) = -15*h(c) + 2*z(c). Suppose f(q) = 0. What is q?
-6, 1
Let k be (-4)/6*3*(-8 + 7). Let i(t) = 10*t - 4. Let b be i(k). Factor -7*u**2 + b - 16*u - 8*u**4 - 5*u**2 + 11*u**3 + 5*u**3 + 4*u**4.
-4*(u - 2)**2*(u - 1)*(u + 1)
Let o(q) be the third derivative of q**8/240 - 9*q**7/140 - 79*q**6/360 - 3*q**5/20 + 3*q**3/2 + 79*q**2. Let l(b) be the first derivative of o(b). Factor l(h).
h*(h - 9)*(h + 1)*(7*h + 2)
Let m = -575 + 575. Suppose 2*t + 4 + m = -2*k, 4*k - 2*t = 4. Factor 0 + 0*o**2 + 1/5*o**3 + k*o.
o**3/5
Suppose 4*n - 2*l + 262 = 0, 136 = -3*n - 5*l - 67. Let a be ((-28)/5)/(n/495). Factor -153*i**3 - 200 + 45*i + 195*i + 155*i**3 - a*i**2.
2*(i - 10)**2*(i - 1)
Suppose 124 - 26 = 21*x + 35. Let t(c) be the third derivative of 32*c**2 + 1/90*c**5 + 0*c**x + 0*c + 1/90*c**6 + 0 + 0*c**4. Find r, given that t(r) = 0.
-1/2, 0
Let b(i) = -4*i**3 - 40*i**2 + 194*i - 6. Let u(g) = -8*g**3 - 80*g**2 + 413*g - 13. Let k(j) = -13*b(j) + 6*u(j). Find r, given that k(r) = 0.
-11, 0, 1
Let y(f) = 2*f**3 + 70*f**2 + 2*f + 49. Let k be y(-35). Let s be 15/(-105) + ((-30)/k - 1). Solve s + 20/7*q + 50/7*q**2 = 0.
-1/5
Let x = -794777 - -331422242/417. Let g = x - -15/139. Solve t**2 - g*t**4 + 1/3*t - 1/3*t**3 - 1/3 = 0 for t.
-1, 1/2, 1
Let a(w) be the second derivative of -256*w**2 - 1/6*w**4 - 4*w - 18 + 32/3*w**3. Factor a(p).
-2*(p - 16)**2
Let -3554362 - 404*m + 3553654 - 4*m**2 - 308*m = 0. Calculate m.
-177, -1
Let j = 715 - 689. Factor 5*k**2 - 71 + 30 + 18*k**2 - 34 - j*k**2 - 78*k.
-3*(k + 1)*(k + 25)
Let n(q) = 3*q**2 - 11*q - 1. Let k be n(4). Suppose -5*d = -7*d + 4*l + 40, 2*d - 38 = k*l. Factor -8*f**5 - 23*f**3 + 27*f**3 + 15*f**5 - d*f**4.
f**3*(f - 2)*(7*f - 2)
Factor 180*q - 343*q - 15*q**2 - 59536 + 14*q**2 - 325*q.
-(q + 244)**2
Let l(h) = 3*h**3 - 30*h**2 - 11*h + 344. Let a be l(9). Let i = 2/677 + 5402/4739. Factor -10/7*u - 2/7*u**3 - 4/7 - i*u**a.
-2*(u + 1)**2*(u + 2)/7
Find z, given that -116 + 33444*z**2 - 6188*z + 323 - 35 + 22140*z**2 + 1296*z**3 = 0.
-43, 1/18
Suppose 0 = -3*v - 3, -3*v + 4*v + 1 = -2*t. Let x(z) be the second derivative of 2/15*z**3 + 15*z + 1/5*z**2 + 1/30*z**4 + t. Suppose x(k) = 0. Calculate k.
-1
Let t = 556 - 532. Let -307*z**4 + 301*z**4 + 2*z**3 - 26*z**5 + 6*z**2 + t*z**5 = 0. What is z?
-3, -1, 0, 1
Let a = -26697 - -26699. What is h in 0 - 24/5*h**3 + 0*h + 0*h**a + 4/5*h**4 = 0?
0, 6
Suppose 305 = 5*r - 295. Let s = r + -97. Find g such that -52*g**4 - 64 - 21*g - s*g + 96*g**2 + 32*g**3 - 5*g + 12*g**5 - 15*g = 0.
-1, -2/3, 2
Let d(b) = 4*b - 22. Let l be d(9). Suppose -u = l*u + 24*u. What is o in 3/5*o**3 - 1/5*o**2 + u - 3/5*o**4 + 0*o + 1/5*o**5 = 0?
0, 1
Find v, given that 1748/3 + 4/9*v**2 + 5248/9*v = 0.
-1311, -1
Let w(q) be the second derivative of q**6/45 + 101*q**5/15 + 401*q**4/18 + 200*q**3/9 - 7*q. Factor w(k).
2*k*(k + 1)**2*(k + 200)/3
Let a(v) be the third derivative of -v**6/180 - 16*v**5/45 + 149*v**4/36 + 20*v**3 + 4*v**2 + 13*v - 3. Factor a(r).
-2*(r - 5)*(r + 1)*(r + 36)/3
Let x(u) be the first derivative of -u**4 - 124*u**3/3 + 304*u**2 + 1680*u - 9807. Factor x(j).
-4*(j - 6)*(j + 2)*(j + 35)
Factor -44/7*s**4 + 0*s + 0 + 40/7*s**3 + 4/7*s**5 + 0*s**2.
4*s**3*(s - 10)*(s - 1)/7
Let u be (-1 + (-277)/3)*(-270)/(-60). Let z = 423 + u. Determine t so that 0 - 3/4*t**z - 3*t + 3*t**2 = 0.
0, 2
Let v(i) be the third derivative of 0*i - 128/9*i**3 - 1 + 8*i**2 + 4/9*i**4 - 1/180*i**5. Factor v(g).
-(g - 16)**2/3
Let y(w) be the first derivative of -56*w**6/15 + 1276*w**5/5 - 3021*w**4/5 - 896*w**3/15 + 88*w**2 - 5056. What is u in y(u) = 0?
-2/7, 0, 1/4, 2, 55
Let g = -1 - -4. Suppose -3*p + 21 = g. Find d, given that 0*d**2 - 8*d**3 + p*d**2 + 2*d**4 + 4*d**2 - 18*d**2 + 2*d**5 = 0.
-2, -1, 0, 2
Let z(v) = 2*v**2 + 2*v + 2. Let c(f) = f**3 - 1198*f**2 + 362410*f + 6. Let q(g) = -5*c(g) + 15*z(g). Factor q(x).
-5*x*(x - 602)**2
What is h in -464/5*h**2 + 16/5*h**4 + 0 - 66/5*h + 514/5*h**3 = 0?
-33, -1/8, 0, 1
Suppose -t - 2*v + 1 = -3*v, 0 = -4*t - 3*v + 18. Solve -115 + 5*x**t + 99 - 12*x**3 - 28*x + 5*x**3 - 14*x**2 = 0.
-4, -2, -1
Let z = 322518 + -322518. Determine p, given that 5/3*p**3 + 5/3*p**4 + 0 + z*p + 0*p**2 = 0.
-1, 0
Let f(z) be the first derivative of -z**4/28 + z**3/3 + 47*z**2/7 - 208*z/7 + 4164. Factor f(g).
-(g - 13)*(g - 2)*(g + 8)/7
Let c(j) be the second derivative of j - 7/10*j**3 - 1/100*j**5 + 2/15*j**4 + 9/5*j**2 - 47. Factor c(l).
-(l - 3)**2*(l - 2)/5
Suppose 30*y + 60 = 35*y + 5*i, 4*y - 3 = 5*i. Let l(b) be the first derivative of -y - 6/11*b - 10/33*b**3 + 7/11*b**2 + 1/22*b**4. Factor l(w).
2*(w - 3)*(w - 1)**2/11
Let q = 70839 + -70836. Suppose 10 + 5 = 5*f. Let 1/9*d**q + f + d**2 + 3*d = 0. Calculate d.
-3
Let q = 80/133 - 347/798. Let z(o) be the first derivative of 0*o + 19 - 2/15*o**5 + 0*o**2 - 1/9*o**6 + q*o**4 + 2/9*o**3. Factor z(u).
-2*u**2*(u - 1)*(u + 1)**2/3
Suppose -20 = 255*y - 260*y. Determine a, given that 85*a**4 + 2*a**2 - 4*a**3 - a**5 + 5*a + 2 - 37*a**4 - 52*a**y = 0.
-2, -1, 1
Suppose c + 79 = 4*p, -6*p + p - 4*c = -125. Let l = p + -16. Factor -5*s**3 + 0*s**3 + 14*s**4 + 5*s**2 + 6*s**5 - s**l - 19*s**4.
5*s**2*(s - 1)**2*(s + 1)
Let g(w) be the second derivative of w**8/560 - 2*w**7/175 + 3*w**6/200 - 81*w**2/2 - 3*w + 17. Let s(h) be the first derivative of g(h). Factor s(x).
3*x**3*(x - 3)*(x - 1)/5
Let b(g) = -2*g**3 - 9*g**2 + 34*g - 3. Let s be b(-7). Suppose 0 = -2*z - s + 6, 4*z + 11 = 5*k. Factor 2/9*u + 1/9*u**2 - 1/9*u**k + 0.
-u*(u - 2)*(u + 1)/9
Let v be ((-1162)/(-747))/((-14)/(-6)). Suppose 2/3*x + 4*x**2 - 4 - v*x**3 = 0. Calculate x.
-1, 1, 6
Let 48/5 - 306