*4 + 0*b - 30*b**3 - f*b**2 - 1/12*b**5 + 0. Factor g(d).
-5*(d + 6)**2
Let v(q) = q + 10. Let m be v(-7). Suppose 2594*h - 2589*h - 520 = 0. Factor 99*l**2 - 3 + m - h*l**2 + 10*l.
-5*l*(l - 2)
Let n(b) be the first derivative of -11/2*b**4 - 15*b + 10/3*b**3 - 16/15*b**6 + 24 - b**2 + 4*b**5. Let d(y) be the first derivative of n(y). Solve d(k) = 0.
1/4, 1
Let y = -505 + 753. What is u in 356*u - 848*u**2 + 229*u + y + 1080*u**4 - 700*u**3 + u**3 + 43*u - 445*u**3 + 36*u**5 = 0?
-31, -2/3, -1/3, 1
Factor -2386/7*p**2 - 712816/7*p - 710432/7 - 2/7*p**3.
-2*(p + 1)*(p + 596)**2/7
Let 4272/5 + 10656/5*k + 2709/5*k**4 - 6924/5*k**3 - 3264/5*k**2 - 3*k**5 = 0. Calculate k.
-1, -2/5, 2, 178
Let p(d) be the third derivative of 18769*d**6/480 + 4658*d**5/15 - 547*d**4/24 + 2*d**3/3 + 24*d**2 - d + 10. Find t, given that p(t) = 0.
-4, 2/137
Let k(d) be the first derivative of 5*d**6/6 + 9*d**5 + 115*d**4/4 + 5*d**3 - 90*d**2 + 496. Suppose k(a) = 0. What is a?
-4, -3, 0, 1
Let l(p) be the second derivative of -9*p**5/5 - 145*p**4/4 - 222*p**3 - 54*p**2 - 466*p + 5. Factor l(z).
-3*(z + 6)**2*(12*z + 1)
Let c(d) be the first derivative of -d**8/7560 - d**7/756 - 2*d**6/405 - d**5/135 - 223*d**3/3 + 146. Let w(u) be the third derivative of c(u). Factor w(l).
-2*l*(l + 1)*(l + 2)**2/9
Suppose 105*u - 242*u = 532*u. Suppose 58/19*k**3 - 224/19*k**2 + 98/19*k + u - 4/19*k**4 = 0. What is k?
0, 1/2, 7
Let y(p) be the second derivative of -3/4*p**4 - 1/10*p**6 - 4 + 3/5*p**5 + 2*p + 6*p**2 - 2*p**3. Solve y(x) = 0 for x.
-1, 1, 2
Let w(k) be the second derivative of 11/4*k**5 + 71*k + 0*k**2 + 5/42*k**7 + 5/2*k**4 + 0 + 0*k**3 + k**6. Suppose w(j) = 0. What is j?
-3, -2, -1, 0
Let p = -1040 + 1040. Suppose q - 5*b - 6 + 1 = 0, b + 1 = p. Find t, given that -4/3*t - 1/3*t**2 + q = 0.
-4, 0
Suppose 4*x - 2*i = 284, -2*i = 194 - 202. Let t = 17 + -12. Let -18*w**4 + 2*w**3 + 35 + 24*w**2 - 7*w + 5*w**t + 32 - x = 0. Calculate w.
-1, -2/5, 1, 3
Let z be ((-20)/35)/((-10)/175). Suppose 0 = 5*d - 3*j - z, -9*d + 7*d + 4*j = -4. Factor -5 + c**d + 6 - 8*c - 1.
c*(c - 8)
Factor 355008656 + 1687/2*f**4 - 1/4*f**5 + 356904563*f**2 - 3796873/4*f**3 - 710964844*f.
-(f - 1124)**3*(f - 1)**2/4
Determine p, given that -102/7*p**2 + 2/7*p**3 - 116/7*p + 624/7 = 0.
-3, 2, 52
Let a(q) be the second derivative of 20/7*q**3 + 1 - 11/42*q**4 + 1/105*q**6 + 100/7*q**2 - 7*q - 3/35*q**5. Factor a(r).
2*(r - 5)**2*(r + 2)**2/7
Determine o, given that 0 + 1/4*o**5 + 1521/4*o + 5*o**4 + 11/2*o**3 - 195*o**2 = 0.
-13, 0, 3
Let y = -413 + 442. Factor 78*b**2 + 74*b**2 - 153*b**2 + y - 14*b - 14*b.
-(b - 1)*(b + 29)
Let v(a) = -31*a**3 - 3*a - 32*a**2 + 18*a**3 - 28*a - 16. Let c(w) = 12*w**3 + 32*w**2 + 30*w + 14. Let x(t) = 5*c(t) + 4*v(t). Factor x(q).
2*(q + 3)*(2*q + 1)**2
Let i = 1085 - 1083. Suppose 0 = -f + 3*f, 0 = y + 2*f - i. Let -y - 7/3*s - 1/3*s**2 = 0. What is s?
-6, -1
Let y(a) be the third derivative of a**7/105 - 6*a**6/5 + 47*a**5/10 - 35*a**4/6 + 173*a**2. Factor y(v).
2*v*(v - 70)*(v - 1)**2
Suppose -2*k + 44 + 160 = -4*u, 0 = -u + 5*k - 42. Let b be 7 + u/(-28)*-3. Factor -2/7*i**5 + 4/7*i + b*i**2 + 6/7*i**3 + 0 - 2/7*i**4.
-2*i*(i - 2)*(i + 1)**3/7
Let h(b) be the third derivative of b**7/315 - 23*b**6/180 + 7*b**5/30 + 23*b**4/36 - 22*b**3/9 + 4474*b**2. Solve h(m) = 0 for m.
-1, 1, 22
Let c(a) = -65*a - 91. Let z be c(5). Let k = 1252/3 + z. Let -4/3 - k*l**2 + 8/3*l = 0. What is l?
1
Suppose -7*m = -17 + 80. Let t be (-300)/m*54/66. Find h, given that -t*h**2 - 2/11*h**4 - 40/11*h**3 - 1000/11*h - 1250/11 = 0.
-5
Suppose -9096*n + 8956*n = -700. Determine v so that 2/11*v**3 + 16/11 - 40/11*v + 2/11*v**n + 28/11*v**2 - 8/11*v**4 = 0.
-2, 1, 2
Let q be (-16)/(1152/(-12))*(-36)/(-21). Let q*l**2 + 0 + 0*l = 0. Calculate l.
0
Let b(u) = 3*u**2 - 5*u + 4. Let t be b(3). Suppose t = 12*f - 20. Let -2/17*r**4 + 0 - 4/17*r**2 + 0*r + 6/17*r**f = 0. Calculate r.
0, 1, 2
Let c be (-2314)/(-104) - (-1)/(-4). Suppose -r - 20 = -c. Determine b so that -8/9*b**r - 10/9*b - 2/9 = 0.
-1, -1/4
Let d(h) be the second derivative of h**6/2880 + h**5/240 + h**4/64 - h**3/6 - 25*h + 5. Let v(t) be the second derivative of d(t). Solve v(w) = 0.
-3, -1
Let g = 2597 + -38941/15. Let r(l) be the second derivative of -g*l**3 - 2/5*l**2 + 10*l + 0 + 7/25*l**5 + 1/15*l**4. Determine x, given that r(x) = 0.
-1, -1/7, 1
Let o(w) be the third derivative of -w**5/90 + 2*w**4 + 553*w**3/9 + 2454*w**2. Factor o(n).
-2*(n - 79)*(n + 7)/3
Let p = -34630 - -173156/5. Factor 1/5*z**3 + 8/5 + 12/5*z + p*z**2.
(z + 2)**3/5
Let y be 1055/9 - 32/144. Suppose -5 = -y*z + 116*z. Solve 8*c**3 - 12*c**3 - 3*c**5 - 11*c**3 - 12*c**4 - 11*c**2 + z*c**2 = 0 for c.
-2, -1, 0
Let s(a) be the third derivative of -a**6/24 + 7*a**5/6 - 55*a**4/8 + 20*a**2 + 6. Determine i, given that s(i) = 0.
0, 3, 11
Let h(t) be the second derivative of t**4/12 - 16*t**3/3 + 126*t**2 - 19*t + 9. Solve h(u) = 0.
14, 18
Suppose -21*r + 20*r = -3. Factor -36*p**2 - 23*p**r - 13*p - 3*p**5 - 2*p**4 + p + 18*p**3 - 34*p**3 - 16*p**4.
-3*p*(p + 1)**2*(p + 2)**2
Let o(f) be the second derivative of -f**4/18 - 52*f**3 - 18252*f**2 - 5177*f + 1. Factor o(q).
-2*(q + 234)**2/3
Factor 232/5*c + 13456/5 + 1/5*c**2.
(c + 116)**2/5
Let 944/5 + 2/5*u**2 + 476/5*u = 0. What is u?
-236, -2
Let j(d) be the second derivative of -d**4/24 - 53*d**3/4 - 79*d**2/2 - 25*d + 28. Factor j(v).
-(v + 1)*(v + 158)/2
Let f(k) be the first derivative of 1/2*k**4 + 0*k + 1/5*k**5 - 8/3*k**3 + 0*k**2 + 79. What is c in f(c) = 0?
-4, 0, 2
Let z be (-20 - 0) + (-16)/4*1. Let g be (z + 21)*-1*(-1 - -2). Suppose 0*i**4 - 4*i**2 + 2*i**5 + 137*i**3 + 4*i**4 - 139*i**g = 0. Calculate i.
-2, -1, 0, 1
Let f(q) = 2*q**2 - 5*q + 3. Let y be f(5). Suppose -43 = -n - y. Factor 3*r**3 + n*r + 18 - 9 + 12*r**2 - 3.
3*(r + 1)**2*(r + 2)
Let u(b) be the third derivative of -b**7/315 + 16*b**6/15 - 3007*b**5/30 - 9409*b**4/18 - 1176*b**2. Factor u(x).
-2*x*(x - 97)**2*(x + 2)/3
Let g(i) be the third derivative of 0*i + 0 - 64/9*i**3 - 1/35*i**7 - 5*i**2 + 88/9*i**4 - 154/45*i**5 + 23/45*i**6. Suppose g(r) = 0. What is r?
2/9, 2, 4
Solve -224/13*v + 4/13*v**3 - 82/13*v**2 - 138/13 = 0 for v.
-3/2, -1, 23
Let c(i) be the first derivative of -1/4*i**4 + 3*i - 5 + 9/2*i**2 + i**3. Let d(f) be the first derivative of c(f). Factor d(q).
-3*(q - 3)*(q + 1)
Factor 897/8 - 1791/8*o + 891/8*o**2 + 3/8*o**3.
3*(o - 1)**2*(o + 299)/8
Suppose 2*v - 64 - 742 = 0. Let k = v + -400. What is i in 7/8*i + 1/4 + 1/8*i**4 + 5/8*i**k + 9/8*i**2 = 0?
-2, -1
Let f be ((-7)/18)/(899 + -913). Let k(c) be the second derivative of 17*c - f*c**4 + 1/120*c**5 + 1/36*c**3 + 0 + 0*c**2. Factor k(t).
t*(t - 1)**2/6
Let m(p) be the first derivative of 3*p**5/5 - 39*p**4/2 - 3*p**3 + 114*p**2 + 156*p - 2447. Solve m(u) = 0 for u.
-1, 2, 26
Let b be 1 - 213/(-15) - (-1)/(-5). Factor 16*p**3 - 12*p - p**4 - 2*p**4 - b*p**2 - 6*p.
-p*(p - 3)**2*(3*p + 2)
Let o = 239 - 237. Factor -o*t**2 + 7 + 26 + 2 - 18*t - 15.
-2*(t - 1)*(t + 10)
Suppose -32*d + 198 = -26*d. Suppose 0 = -0*i + 11*i - d. Let -2/9*g**i - 4/9*g**2 + 4/9 + 2/9*g = 0. What is g?
-2, -1, 1
Let m(b) be the second derivative of 34/21*b**4 + 3*b - 83/70*b**5 + 16/3*b**3 + 23/105*b**6 - 25 - 64/7*b**2 - 2/147*b**7. Let m(n) = 0. What is n?
-1, 1/2, 4
Let n(q) = 15*q**3 - 83*q**2 + 235*q - 38. Let z(h) = -4*h**3 + 22*h**2 - 59*h + 10. Let g(c) = 5*n(c) + 19*z(c). Factor g(p).
-p*(p - 9)*(p + 6)
Let z be (-21)/(-273)*-13*(-4)/30. Let q(a) be the third derivative of 0 - 1/150*a**5 + 1/20*a**4 + 0*a - z*a**3 + 14*a**2. Solve q(s) = 0.
1, 2
Determine t so that 2/3*t**2 + 838/3*t + 0 = 0.
-419, 0
Let v be (-3776)/960 + 52/12. Suppose 0*z + z**3 + 0 + v*z**2 + 1/5*z**5 + 4/5*z**4 = 0. What is z?
-2, -1, 0
Let b(w) = 6*w**3 + 388*w**2 - 149*w - 1235. Let u be b(-65). Let -96/5*h**2 + 36/5*h - 3*h**5 - 21/5*h**3 + u + 96/5*h**4 = 0. What is h?
-1, 0, 2/5, 1, 6
Let k be (-12)/96 + (-175)/(-56). Suppose 327*j - 324*j + 5*b = 0, -k*b = -5*j. Find w such that -1/3*w**2 + 1/9*w**3 + 2/9*w + j = 0.
0, 1, 2
Find r, given that -2/13*r - 82/13*r**2 + 82/13 + 2/13*r**3 = 0.
-1, 1, 41
Let b(l) be the first derivative of -l**3/30 + 567*l**2/20 + 284*l/5 - 2619. Factor