Let b(v) = 2*v**3 + 8*v**2 - 9*v + 11. Let q be b(-5). Solve q*x**3 - 513*x + 8 + 529*x + 10*x**2 - 4*x**3 = 0 for x.
-2, -1
Let a(o) be the first derivative of 3*o**4/32 + 21*o**3/4 + 987*o**2/16 + 108*o - 799. Find z, given that a(z) = 0.
-32, -9, -1
Factor 620/9*p + 224/3 + 28/9*p**2.
4*(p + 21)*(7*p + 8)/9
Let k(v) = -6*v - 73. Let h be k(10). Let f = h - -137. Solve -602*o**3 + 360*o - 135*o**f - 96 - 12*o**2 - 46*o**3 - 30*o**3 + 75*o**5 = 0 for o.
-2, -1, 2/5, 4
Suppose 260 = 16*m - 6*m. Factor 26*z**2 - 12 + 24*z**2 - 19*z**2 + 14*z**3 + m*z - 11*z**2 + 32*z**2.
2*(z + 1)*(z + 3)*(7*z - 2)
Solve 34*w + 9/4*w**2 + 35 = 0.
-14, -10/9
Let k(h) be the first derivative of h**4/16 - 11*h**3/2 - 1107*h**2/8 - 260*h + 8772. Determine y, given that k(y) = 0.
-13, -1, 80
Factor 1/5*v**2 + 81/5*v - 82/5.
(v - 1)*(v + 82)/5
Let m = -12618 + 12620. Factor 8/7*v + 0 - 2/7*v**m.
-2*v*(v - 4)/7
Let t(n) = -2*n**4 + 2*n**2 + 1. Let q(d) = -38*d**4 - 292*d**3 - 1390*d**2 - 2264*d - 1110. Let g(c) = -2*q(c) + 36*t(c). Factor g(k).
4*(k + 1)*(k + 2)**2*(k + 141)
Let o(f) be the second derivative of -f**5/40 + 39*f**4/8 - 1521*f**3/4 - 39*f**2/2 - 147*f. Let z(k) be the first derivative of o(k). Solve z(h) = 0.
39
Factor 26/5*h**2 + 0 + 44/5*h + 2/5*h**3.
2*h*(h + 2)*(h + 11)/5
Let s(o) = -o**3 + 2*o**2 - 2*o + 2. Let n be s(0). Factor n - 10 - 3186*v - 4*v**2 + 3198*v.
-4*(v - 2)*(v - 1)
Let o be (1520/(-64) - -8) + 16. Let i be ((-3)/6)/(-1 - (-3)/4). Suppose 1 + 9/4*s + o*s**3 + 3/2*s**i = 0. Calculate s.
-4, -1
Let c(x) = x**2 - 13*x - 112. Let f be 4 - 1 - (1*10 - 1). Let z be c(f). Factor 0*m + 0 - 3/5*m**z + 6/5*m**4 - 3/5*m**3.
3*m**2*(m - 1)*(2*m + 1)/5
Let g(l) = 10*l**2 - 2*l - 8. Let q(n) = -n**2 - 24*n + 31. Let p be q(-25). Let o(y) = -29*y**2 + 7*y + 22. Let m(t) = p*o(t) + 17*g(t). Solve m(i) = 0 for i.
1
Let i(k) = -2*k**2 - k**2 + 6*k**2 - 4*k**2 + 4*k**2 + 65 - 70*k. Let j(r) = -65*r**2 + 1540*r - 1430. Let d(s) = -45*i(s) - 2*j(s). Factor d(a).
-5*(a - 13)*(a - 1)
Suppose -2485*n = -5071*n + 2465*n + 363. Solve -1/4*g**5 - 1/4*g**4 + 0 + g**n + g**2 + 0*g = 0.
-2, -1, 0, 2
Let c(w) = w**4 - w**3 - 3*w**2 - 1. Let g(a) = -12*a**4 - 36*a**3 - 48*a**2 + 126*a + 10. Let d(z) = 20*c(z) + 2*g(z). Factor d(i).
-4*i*(i - 1)*(i + 3)*(i + 21)
Let h = -5274 - -5274. Let n(t) be the first derivative of 11 - 1/3*t**6 + 0*t**4 - 2/5*t**5 + 0*t + h*t**3 + 0*t**2. Factor n(z).
-2*z**4*(z + 1)
Let s(f) be the second derivative of f**4/3 + 1196*f**3 + 1609218*f**2 + 27*f - 192. Factor s(j).
4*(j + 897)**2
Let z(v) be the second derivative of 0 - 6*v + 0*v**2 + 17/6*v**3 + 1/20*v**5 - 1/120*v**6 + 0*v**4. Let h(m) be the second derivative of z(m). Factor h(g).
-3*g*(g - 2)
Let u(t) be the second derivative of 0*t**2 - 3/10*t**5 - t + 0*t**3 - 1/21*t**7 - 1/6*t**4 + 2 - 1/5*t**6. Solve u(m) = 0 for m.
-1, 0
Factor -2*d**4 + 14*d**3 - 2469*d + 1210*d - 8*d**2 + 1235*d.
-2*d*(d - 6)*(d - 2)*(d + 1)
Let z(k) be the second derivative of -k**6/6 + 7*k**5/4 - 5*k**4/6 - 100*k**3/3 - 2*k - 4076. Factor z(s).
-5*s*(s - 5)*(s - 4)*(s + 2)
Let t = -4665 + 2828. Let q = -9167/5 - t. Determine g, given that -81/5 + q*g - 1/5*g**2 = 0.
9
Let t(q) be the third derivative of -q**7/105 + q**6/20 + q**5/30 - q**4/4 - 2112*q**2. Determine s so that t(s) = 0.
-1, 0, 1, 3
Let m be -7 + 2 - (-7 + 65476/4). Let o = -81423/5 - m. Solve -414/5*s**2 - o*s**3 + 54/5 + 27/5*s - 3*s**5 - 136/5*s**4 = 0.
-3, -2/5, 1/3
Let q(j) = -j**3 - 13*j**2 - 12*j + 4. Let a(y) = -2*y**2 + 4*y + 4. Let u be a(4). Let b be q(u). Factor -b*o**3 + 2*o**4 + 4*o - 7*o + 3*o.
2*o**3*(o - 2)
Solve 567*s**5 + 4*s**4 + 22*s**3 + 128*s + 2*s**3 - 128*s**2 - 1131*s**5 + 4*s**4 + 562*s**5 = 0 for s.
-4, 0, 2, 4
Suppose 5*a = -i + 38, -3*i + 202*a - 207*a + 44 = 0. Let y(q) be the second derivative of -1/18*q**4 - 12*q**2 + 0 - 4/3*q**i - 23*q. Factor y(o).
-2*(o + 6)**2/3
Let 3*v**2 - 2*v**2 + 4*v**2 - 779*v - 810*v + 94*v = 0. What is v?
0, 299
Let f = -2350919/330 + 7124. Let h(r) be the third derivative of 0 + 1/1155*r**7 - f*r**6 + 0*r**5 + 16*r**2 + 0*r + 0*r**3 + 0*r**4. Factor h(g).
2*g**3*(g - 2)/11
Suppose 6*f - 36 = -21*f + 18*f. Let r(k) be the second derivative of -1/12*k**f + 2*k**2 - 1/2*k**3 + 0 + 22*k. Factor r(j).
-(j - 1)*(j + 4)
Suppose 89 = 6*x - 55. What is l in -54*l**2 + 28*l + 34*l**2 + x*l**2 = 0?
-7, 0
Let n(i) = -1. Let j(r) = -105*r + 6*r**2 + r**2 - 8 - 2*r**2 - 99. Let w(f) = j(f) + 3*n(f). Factor w(h).
5*(h - 22)*(h + 1)
Let m(v) be the third derivative of -v**8/1008 - 13*v**7/630 + 7*v**6/10 - 284*v**5/45 + 200*v**4/9 + 2684*v**2. Factor m(u).
-u*(u - 4)**3*(u + 25)/3
Let t(k) be the third derivative of k**10/50400 + k**9/144 + 35*k**8/48 + 2*k**5/3 - 169*k**2. Let y(r) be the third derivative of t(r). Factor y(l).
3*l**2*(l + 70)**2
Let s(k) be the first derivative of 24/7*k + 4/21*k**3 + 2*k**2 + 120. Factor s(x).
4*(x + 1)*(x + 6)/7
Suppose -160*s - 148 = -468. Factor -g**4 + s*g**2 + 0 - 2*g + 3/2*g**3 - 1/2*g**5.
-g*(g - 1)**2*(g + 2)**2/2
Let m(a) be the first derivative of 2*a**3/9 - 89*a**2/3 + 280*a - 5152. Factor m(i).
2*(i - 84)*(i - 5)/3
Let v(x) = -3*x**2 - x + 2. Let f be v(1). Let q be 1 + 0 - (f + 2 - 19). Factor -t - 9*t - 5*t + q - 5*t**2.
-5*(t - 1)*(t + 4)
Suppose 107 = 3*f + 5*h + 476, 0 = -3*f + 2*h - 369. Let o = -75 - f. Factor 40*g**2 + 3*g**5 + 4 + 8*g**2 - o*g - 12*g**4 - 4.
3*g*(g - 2)**3*(g + 2)
Let b(a) be the second derivative of -a**5/20 - a**4/2 + 21*a**3/2 + 44*a**2 + 236*a. Let m(n) be the first derivative of b(n). Factor m(q).
-3*(q - 3)*(q + 7)
Let d be (-3)/(-24) - (-45)/24. Suppose -4*v + 20 = -4*x, 3*x = -4*v - 19 + 39. Solve 4*m**5 - d*m**5 + 5*m - 10*m**3 + 4*m**v - m**5 = 0 for m.
-1, 0, 1
Let t(v) be the second derivative of v**6/75 + 13*v**5/50 - 13*v**4/6 + 17*v**3/5 - 2779*v. Let t(z) = 0. Calculate z.
-17, 0, 1, 3
Let c(t) = 565*t**2 + 4385*t + 4390. Let f(v) = -169*v**2 - 1461*v - 1463. Let a(p) = -3*c(p) - 10*f(p). Let a(w) = 0. What is w?
-1, 292
Let s be -13 - -13 - (30/4 - 6 - 3). Let z(w) be the first derivative of 0*w - 12*w**3 + 36*w**2 + 26 + s*w**4 - 1/15*w**5. Factor z(c).
-c*(c - 6)**3/3
Let i be 18571/12362 + (-55)/44. Let q = -2/883 + i. Factor -x - x**3 - 1/4 - 3/2*x**2 - q*x**4.
-(x + 1)**4/4
Let h = 15991 + -15987. Let u(t) be the third derivative of -169/18*t**3 + 0*t + 0 - 1/180*t**5 + 45*t**2 - 13/36*t**h. Let u(z) = 0. What is z?
-13
Let q(z) be the second derivative of 232*z**3 - z + 219501/5*z**5 - 16/3*z**2 + 6 - 5046*z**4. Let q(u) = 0. What is u?
2/87
Let l(x) = x**4 + 21*x**3 + 140*x**2 - 21*x - 147. Let q(o) = o**4 + 22*o**3 + 141*o**2 - 22*o - 146. Let b(i) = 2*l(i) - 3*q(i). Factor b(f).
-(f - 1)*(f + 1)*(f + 12)**2
Let g = -1/95978 + 4990863/671846. Suppose -1/7*c**2 - g*c - 676/7 = 0. Calculate c.
-26
Suppose -14*f = -27 - 1. Let c(n) be the second derivative of 0 + 0*n**f - 4/27*n**3 + 1/27*n**4 - 31*n. Factor c(y).
4*y*(y - 2)/9
Let z(h) be the first derivative of 2*h**5/45 - 8*h**4/9 + 104*h**3/27 - 16*h**2/3 + 1403. Let z(k) = 0. What is k?
0, 2, 12
Let v(f) be the third derivative of -f**8/840 - 2*f**7/105 - 19*f**6/150 - 34*f**5/75 - 19*f**4/20 - 6*f**3/5 + f**2 - 1687*f + 2. Determine b so that v(b) = 0.
-3, -2, -1
Let s(y) be the second derivative of -y**6/35 - 11*y**5/70 + 5*y**4 - 128*y**3/7 - 352*y**2/7 + 63*y - 32. Suppose s(o) = 0. Calculate o.
-11, -2/3, 4
Let f(y) be the second derivative of 5*y**7/42 + 37*y**6/6 + 247*y**5/4 + 2135*y**4/12 - 620*y**3/3 - 1160*y**2 - 58*y. Let f(i) = 0. Calculate i.
-29, -4, -1, 1
Let h(t) be the first derivative of -38 - t - 2/15*t**3 - 7/10*t**2. Factor h(z).
-(z + 1)*(2*z + 5)/5
Let z(j) be the third derivative of -1/80*j**6 + 3 + 25*j**2 + 0*j - j**4 + 7/40*j**5 + 3*j**3. Factor z(b).
-3*(b - 3)*(b - 2)**2/2
Let s(j) be the third derivative of -j**7/70 + 3*j**6/4 - 45*j**5/4 + 125*j**4/2 - 1441*j**2. Determine f so that s(f) = 0.
0, 5, 20
Let s(k) be the second derivative of -k**5/210 - 17*k**4/84 - 11*k**2 - 38*k - 1. Let q(h) be the first derivative of s(h). Factor q(d).
-2*d*(d + 17)/7
Let y(p) be the third derivative of -p**6/60 + p**5/3 + p**4/4 - 36*p**3 - 8*p**2 - 73. Suppose y(z) = 0. Calculate z.
-3, 4, 9
Suppose 105/2*j + 153 + 1/2*