 Let k(i) = 6*v(i) - y(i). Determine t, given that k(t) = 0.
-1, -1/25, 1, 3
Suppose 29*z = -10*z + 234. Suppose 0 = 81*v - 83*v + z. Let 1/8*b**4 + 0 + 1/4*b**v + 0*b + 1/8*b**2 = 0. Calculate b.
-1, 0
Let g(j) be the first derivative of j**3/5 - 149*j**2/10 + 286*j/5 + 9985. Find h, given that g(h) = 0.
2, 143/3
Let w(l) = -20*l**3 - 1135*l**2 - 1405*l + 2395. Let n(i) = -3*i**3 - 162*i**2 - 201*i + 342. Let d(r) = 55*n(r) - 8*w(r). Factor d(y).
-5*(y - 35)*(y - 1)*(y + 2)
Let -1548384/13*a - 262193024/13 - 3048/13*a**2 - 2/13*a**3 = 0. Calculate a.
-508
Let b = -7 + 10. Let q(p) = -24*p + 219. Let h be q(9). Factor -94 - 2*t**3 + b*t + 92 + t**h.
-(t - 1)**2*(t + 2)
Suppose -2*q = 3*q - 35. Suppose -3*p = -16 + q. Find x, given that 0*x**2 - x**p + 5*x**3 - 4*x**2 = 0.
0, 1
Factor -6*w**4 - 95*w - 4*w**4 + 5*w**5 + 100*w**2 - 13*w**3 - 7*w**3 - 10*w**3 + 30.
5*(w - 2)*(w - 1)**3*(w + 3)
Let b(y) be the second derivative of y**6/50 - 33*y**5/100 + 9*y**4/10 + 431*y - 2. Factor b(f).
3*f**2*(f - 9)*(f - 2)/5
Let d(j) be the second derivative of j**5/80 - 13*j**4/48 + 2*j**3 - 9*j**2/2 + 1715*j. Determine q so that d(q) = 0.
1, 6
Determine m so that 0 - 3456/5*m - 3/5*m**4 + 48/5*m**3 + 144/5*m**2 = 0.
-8, 0, 12
Let b(o) = -o**3 + 172*o**2 + 31023*o - 844. Let g be b(282). Solve -8*r - 10/11*r**3 - 76/11*r**g + 48/11 = 0.
-6, -2, 2/5
Suppose 352*l + 485*l = 929*l - 184. Factor 11*m - 1/3*m**l - 21 - 1/3*m**3.
-(m - 3)**2*(m + 7)/3
Let q(l) = -l**3 - 6*l**2 - 5*l + 4. Let x be q(-5). Suppose 0 = x*t - 4 - 4. Factor 42 - 42 + 5*o**2 - 2*o**t + 3*o**3.
3*o**2*(o + 1)
Let p(f) be the first derivative of 3*f**5/5 - 75*f**4/4 + 206*f**3 - 930*f**2 + 1800*f + 5177. Let p(l) = 0. Calculate l.
2, 3, 10
Suppose 509*f - 4*a = 511*f + 52, -f - 4*a - 54 = 0. Find v, given that 45/4*v + 35/2 + 5/4*v**f = 0.
-7, -2
Let p(r) be the first derivative of r**6/72 - r**5/12 - 5*r**4/18 - 7*r**2 - 4. Let n(k) be the second derivative of p(k). Factor n(u).
5*u*(u - 4)*(u + 1)/3
Let r(j) be the first derivative of -5*j + 39 - 5/4*j**4 - 5*j**3 - 15/2*j**2. Factor r(t).
-5*(t + 1)**3
Let h be 58 + -56 + (-4)/(-1 - -3). Let n(v) be the second derivative of 1/12*v**4 + 1/2*v**2 + 1/3*v**3 + h + 15*v. Determine j, given that n(j) = 0.
-1
Suppose 11 = -4*q - 5. Let w be (-25)/(q - 33/(-9)). Solve w*x**3 + 6*x**2 - 5 - 15 + 20*x**2 + 69*x**2 = 0.
-1, -2/3, 2/5
Determine p, given that -1203528 + 541*p + 36281*p + 1356*p**3 - 33*p**4 + 1203528 - 15789*p**2 = 0.
0, 34/11, 19
Let q = 39 - 38. Let b = 3 - q. What is x in 4*x**2 - 3*x**2 - x**4 - 3*x**b - x**4 - 4*x**3 = 0?
-1, 0
Let x(t) = 2*t**2 - 136*t - 108. Let b(f) = 4*f**2 - 270*f - 209. Let c(p) = 6*b(p) - 13*x(p). Solve c(h) = 0 for h.
-1, 75
Suppose -147*v + 2 = 375*v + 2. Factor 0*o**2 - 1/5*o**4 - 4/5*o + v + 3/5*o**3.
-o*(o - 2)**2*(o + 1)/5
Let i(j) = -j**3 + j**2 - j - 1. Let s = 71 - 74. Let m(k) = -6*k**3 + 4*k**2 - 8. Let g(c) = s*m(c) + 15*i(c). Factor g(o).
3*(o - 1)**2*(o + 3)
Let l(u) be the first derivative of u**3/21 + 327*u**2/14 + 972*u/7 - 3867. Factor l(i).
(i + 3)*(i + 324)/7
Solve 1/5*s**2 + 1416/5 - 83/5*s = 0.
24, 59
Let r be (3/(-4))/(410/328) + (-273)/(-450). Let z(v) be the third derivative of 0*v**4 + 0 + 32*v + 0*v**3 - v**2 + 0*v**6 + 1/525*v**7 - r*v**5. Factor z(d).
2*d**2*(d - 1)*(d + 1)/5
Let 1287*m - 651*m - 885 + 3*m**2 - 1627 - 5*m**2 = 0. What is m?
4, 314
Suppose z - 2*m = -3, 3*z + 5*m - 7*m = 3. Factor -7 + 7*i**3 + 78*i**2 - 74*i**2 - 16*i - 9 - z*i**3.
4*(i - 2)*(i + 1)*(i + 2)
Let t(w) = -7*w**4 + 53*w**3 - 178*w**2 + 180*w. Let y(j) = 225*j**4 - 1695*j**3 + 5695*j**2 - 5760*j. Let c(v) = -65*t(v) - 2*y(v). Factor c(o).
5*o*(o - 6)*(o - 3)*(o - 2)
Let c be (-4 - 5/(-1)) + -1. Let j = -5265 + 5267. Find i, given that c + 0*i**j + 8/5*i**4 - 4/5*i + 12/5*i**3 = 0.
-1, 0, 1/2
Let t = 177692 + -177688. Suppose -1/3*b**t - 13/3*b**3 + 4 - 11/3*b**2 + 13/3*b = 0. Calculate b.
-12, -1, 1
Suppose 0 = -3*m + 2*m - 0*m. Let i(u) = -7*u + 62. Let o be i(m). What is k in 69*k - 1 - 3*k**2 + 8*k**2 + 4 + k**3 - o*k = 0?
-3, -1
Suppose 4*j + 4*k + 20 = 0, -5*j - k = -5*k - 20. Suppose -10*g - g + 22 = j. Suppose -6/7*r + 8/7 - 2/7*r**g = 0. What is r?
-4, 1
Suppose 0 = 2*p + 10, 2*p + 3*p = 3*h - 52. Factor 0*z**2 + z**2 + 2 + 5 + 6*z + 4*z + h.
(z + 2)*(z + 8)
Suppose 174/5*h**2 + 42/5*h**4 + 68/5*h + 2/5*h**5 + 0 + 146/5*h**3 = 0. Calculate h.
-17, -2, -1, 0
Let k(g) be the second derivative of -85/6*g**3 - 45*g**2 + 5/12*g**4 - 15*g + 0. Solve k(x) = 0.
-1, 18
Suppose -12 = 39*r - 42*r. Determine b, given that 30*b**4 - 15*b**3 - 63*b**r + 20*b**2 + 28*b**4 = 0.
-4, 0, 1
Let y(p) be the third derivative of 1/240*p**5 + 0*p - 56*p**2 + 0 + 1/4*p**3 - 5/96*p**4. Factor y(d).
(d - 3)*(d - 2)/4
Let l be -493 + 475 + -1 + 23. Determine d so that 6/5*d**3 + 0*d**l + 0*d**2 - 3/5*d - 3/5*d**5 + 0 = 0.
-1, 0, 1
Let j be (3 + (-50)/15)/(4 - (-129)/(-30)). Let i(c) be the first derivative of 24 + 8/3*c - 1/6*c**4 + j*c**3 - 8/3*c**2. Determine m so that i(m) = 0.
1, 2
Let h(b) be the third derivative of b**6/24 + 25*b**5/6 - 815*b**4/24 - 530*b**3/3 + b**2 - 312*b. Factor h(t).
5*(t - 4)*(t + 1)*(t + 53)
Suppose -3*x - 3*z - 7 = x, -2*x - 5*z = -7. Let b(n) = -n**2 - 5*n - 2. Let h be b(x). Let -340*o**2 - 1 - 11*o**4 + 338*o**h + 13*o**3 + 1 = 0. What is o?
0, 2/11, 1
Let y(x) be the second derivative of x**7/1995 + x**6/228 + 7*x**5/570 + x**4/76 - 123*x**2 - 155*x. Let r(j) be the first derivative of y(j). Factor r(q).
2*q*(q + 1)**2*(q + 3)/19
Let a(g) = -g**3 - 2*g**2 - 14*g. Let x be a(0). Factor x + 0 + 0*p**2 + 20*p + 5*p**2 - 3*p**2 + 18.
2*(p + 1)*(p + 9)
Let m(f) = 11*f**3 - 640*f**2 + 2449*f - 1820. Let g(c) = 7*c**3 - 426*c**2 + 1633*c - 1214. Let k(j) = -8*g(j) + 5*m(j). Find v such that k(v) = 0.
1, 3, 204
Let s = -884 - -884. Let z(u) be the first derivative of -8/3*u + 1/9*u**6 - 1/6*u**4 - 2/5*u**5 + s*u**2 + 14/9*u**3 - 12. Determine i, given that z(i) = 0.
-1, 1, 2
Suppose -18 = 31*i - 111. Let t be 208/34 - i - 2/17. Let -22/3*x**2 + 24 - 4/3*x**t + 8*x + 2/3*x**4 = 0. What is x?
-2, 3
Let v(m) be the second derivative of -m**7/147 + 7*m**6/15 + 159*m**5/35 + 325*m**4/21 + 547*m**3/21 + 165*m**2/7 - 2894*m. Suppose v(a) = 0. Calculate a.
-3, -1, 55
Let p(r) be the third derivative of -r**5/4 + 3*r**4/4 + 4*r**3 - 2*r**2 + 96. Factor p(a).
-3*(a - 2)*(5*a + 4)
Let j be (-15)/(-60) - 2/((6 + -34)/7). Factor -j*i**2 + 9/4*i - 1/4*i**3 - 5/4.
-(i - 1)**2*(i + 5)/4
Let c(k) be the first derivative of 0*k - 4/3*k**3 + 8*k**2 - 10. What is q in c(q) = 0?
0, 4
Let h(t) be the third derivative of -1/15*t**5 + 4/45*t**6 + 1/126*t**8 + 0*t**4 - 2/45*t**7 + 0*t - 203*t**2 + 0 + 0*t**3. Factor h(l).
4*l**2*(l - 1)**2*(2*l - 3)/3
Let p be 10/130*13 + 2. Let a(c) be the second derivative of c**2 - 13*c + 13/12*c**p + 13/48*c**4 - 1/16*c**5 + 0. Factor a(n).
-(n - 4)*(n + 1)*(5*n + 2)/4
Let b(w) be the second derivative of -w**6/6 - 31*w**5/4 - 305*w**4/4 - 615*w**3/2 - 540*w**2 - 399*w. What is x in b(x) = 0?
-24, -3, -1
Suppose 98 = -3*s + 4*a, 0*s + 2*a = s + 34. Let b be s/(-8) - (-51)/204. Find n, given that -60/7*n**3 - 66/7*n + 92/7*n**2 + 18/7 + 18/7*n**b - 2/7*n**5 = 0.
1, 3
Let n(u) = -5*u**4 + 99*u**3 - 187*u**2. Let w(l) = 7*l**4 - 101*l**3 + 186*l**2. Let k(d) = 4*n(d) + 3*w(d). Factor k(o).
o**2*(o - 2)*(o + 95)
Let s(n) be the first derivative of 37 + 15/4*n**4 - 20/3*n**3 - 30*n - 65/2*n**2. Solve s(x) = 0.
-1, -2/3, 3
Let o(d) = d**3 - 673*d**2 + 622*d + 1332. Let b(g) = 6*g**3 - 4713*g**2 + 4335*g + 9324. Let h(n) = 2*b(n) - 15*o(n). Factor h(c).
-3*(c - 222)*(c - 2)*(c + 1)
Let t(d) = 6*d**3 - 678*d**2 + 38307*d + 39003. Let w(i) = -5*i**3 + 679*i**2 - 38306*i - 38998. Let x(f) = -2*t(f) - 3*w(f). Let x(p) = 0. Calculate p.
-1, 114
Solve 8*s**3 + 4*s + 113 - 131 + 33*s**2 - 29 - s**4 + 3 = 0.
-2, 1, 11
Solve 1440*t**2 + t**3 - 4292*t + 57563 - 54707 - 5*t**3 = 0 for t.
1, 2, 357
Let a be (-9)/((-54)/48) + -6. Solve -15*q - 30*q**2 + 60 + 11*q**a - 5*q**3 + 14*q**2 + 55*q = 0.
-2, 3
Let u(n) be the second derivative of -1/6*n**2 + 0 + 1/10*n**5 - 50*n + 2/9*n**4 - 1/3*n**3 - 7/90*n**6. Suppose u(i) = 0. Calculate i.
-1, -1/7, 1
Let t(q) be the third derivative of -q**8/3