5*r**4 - 35*r**3 + 28*r**2 + 20*r - 12. Let p(h) = 10*h**4 - 71*h**3 + 53*h**2 + 38*h - 20. Let d(q) = 5*a(q) - 3*p(q). Suppose d(t) = 0. What is t?
-2/5, 0, 1, 7
Suppose 4*x = -3*t, -2*t = -18*x + 15*x + 17. Factor -8*y**3 - 3*y + x*y - 3 + 3*y**2 + 7*y**3 + y.
-(y - 3)*(y - 1)*(y + 1)
Suppose 0*s = -3*s - 234. Let j be -8*(14/(-12) - 13/s). Factor 4*f**5 - f - 5*f + 4*f**4 + 6*f - j*f**3.
4*f**3*(f - 1)*(f + 2)
Let o(a) be the third derivative of 7/60*a**5 + 0*a**3 + 20*a**2 + 1/120*a**6 + 0*a**4 + 0*a - 3. Factor o(d).
d**2*(d + 7)
Let l(d) = 15*d**2 + 79*d - 94. Let k(x) be the second derivative of 5*x**4/12 + 13*x**3/3 - 31*x**2/2 + 62*x. Let m(i) = -11*k(i) + 4*l(i). Factor m(n).
5*(n - 1)*(n + 7)
Let h(v) be the second derivative of 1/96*v**4 + 0 + 118*v + 1/48*v**3 - 1/8*v**2. Find s such that h(s) = 0.
-2, 1
Let s(q) be the first derivative of -q**4/3 - 8*q**3 + 26*q**2 + 61*q + 49. Let o(h) be the first derivative of s(h). Determine u, given that o(u) = 0.
-13, 1
Factor 5/2*r**2 - 1/4*r**3 + 69/4*r + 45/2.
-(r - 15)*(r + 2)*(r + 3)/4
Suppose 0 = -14*x + 1 + 27. Factor 148321690 - 1360*i**3 + 95080*i**2 + 1307*i**4 - 9826000*i + 35300*i**x + 60480810 - 1303*i**4 + 43020*i**2.
4*(i - 85)**4
Let w(p) be the first derivative of -17*p + 0*p**2 - 2/3*p**4 + 10 + 0*p**3 - 1/5*p**5. Let j(c) be the first derivative of w(c). Let j(s) = 0. Calculate s.
-2, 0
Let b = 32 - 25. Suppose 4*l = 0, b*x - l - 20 = 2*x. Factor 5*w**2 - 2*w**3 - w**2 + 4*w**x - 6*w**3.
4*w**2*(w - 1)**2
Let m(l) be the first derivative of -3*l**2 - 4/7*l - 72 - 14/3*l**3. Factor m(u).
-2*(7*u + 1)*(7*u + 2)/7
Let h(s) be the third derivative of 0 + 0*s - 1/6*s**4 - 38*s**2 + 1/105*s**7 + 0*s**3 + 1/30*s**6 - 1/30*s**5. Factor h(a).
2*a*(a - 1)*(a + 1)*(a + 2)
Let x(f) be the second derivative of f**4/16 + 13*f**3/8 + 595*f - 1. Factor x(v).
3*v*(v + 13)/4
Let g(j) = -371*j**5 - 2273*j**4 - 5633*j**3 - 6847*j**2 - 4108*j - 972. Let u(x) = -2*x**5 + x**4 - 2*x**3 - x**2 - x. Let l(s) = -g(s) + 4*u(s). Factor l(f).
3*(f + 1)**3*(11*f + 18)**2
Let u(k) = -k**2 + 8*k - 1. Let x(z) = 3*z**2 + 9*z + 5. Let y(o) = -o**2 - 5*o - 2. Let d(n) = -2*x(n) - 5*y(n). Let t(a) = 5*d(a) - 4*u(a). Factor t(g).
-(g - 4)*(g + 1)
Let k(z) be the first derivative of -z**4/14 + 46*z**3/21 + 24*z**2/7 - 242. Factor k(d).
-2*d*(d - 24)*(d + 1)/7
Suppose t + 0*c = -5*c - 17, -4 = c. Let b(w) be the second derivative of 0*w**t + 0*w**2 - 1/4*w**5 - 21*w + 0 - 5/12*w**4. Factor b(y).
-5*y**2*(y + 1)
Let u(l) be the second derivative of 8*l**2 - 19*l**3 - 76*l + l**4 + 2*l**3 + 9*l**3 + l**5. Find w such that u(w) = 0.
-2, 2/5, 1
Let r(t) = -6*t**2 - 18*t - 42. Let g be r(-4). Let x be 60/15 - g/(-21). Find h, given that x - 8/7*h + 2/7*h**2 = 0.
1, 3
Let z(y) = y**2 + y. Suppose 64 = -54*n + 19 - 63. Let h(c) = 13*c**2 - 17*c + 98. Suppose 2*v - 27 = 17. Let k(j) = n*h(j) + v*z(j). Factor k(u).
-4*(u - 7)**2
Let b(r) be the second derivative of -40/21*r**3 + 7*r + 31/42*r**4 - 2/35*r**5 - 12/7*r**2 + 3. Factor b(f).
-2*(f - 6)*(f - 2)*(4*f + 1)/7
Let m = -6741743/200 + 134841/4. Let w = m - 7/200. Factor 3/2*z**3 - w*z**2 - 21/8*z - 3/4.
3*(z - 2)*(2*z + 1)**2/8
Let -116*y - 5*y**3 + 10*y**3 + 35214 - 24*y**2 - 35310 = 0. Calculate y.
-2, -6/5, 8
Let f = -12/385 - -789/3080. Let s(j) be the third derivative of -14*j**2 + 0 - 1/16*j**6 + 0*j + 1/2*j**3 + 1/140*j**7 + f*j**5 - 7/16*j**4. Factor s(t).
3*(t - 2)*(t - 1)**3/2
Suppose -5*o - 28 = -4*v, -5*o - 5 = 2*v + 11. Factor 56 - j**2 - 5*j**2 + 22*j + v*j**2 + 0*j**2 + 6*j**2.
2*(j + 4)*(j + 7)
Suppose -2*q - 77 = 11*k, -3*q = -15403*k + 15407*k + 28. Let q*d**2 + 2/3*d**3 + 1/3 - 2/3*d - 1/3*d**4 = 0. Calculate d.
-1, 1
Let d(u) be the third derivative of -u**7/1470 + u**6/168 + u**5/35 - 19*u**4/42 + 40*u**3/21 - 872*u**2. Factor d(c).
-(c - 5)*(c - 2)**2*(c + 4)/7
Let o(r) = 35*r**3 - 1426*r**2 - 367*r - 79. Let k be o(41). Solve 8*l + 8/9 + 14/3*l**k - 122/9*l**2 = 0.
-2/21, 1, 2
Determine g so that 759 + 243/4*g - 3/4*g**2 = 0.
-11, 92
Suppose -7*d = -40*d + 1023. Suppose -18*q**2 + 70*q - d*q**2 - 120 + 44*q**2 = 0. What is q?
2, 12
Suppose -424*q + 1322*q + 5*q**2 + 1422*q = 0. Calculate q.
-464, 0
Let o(s) = s**2 - 20*s + 100. Let t be o(8). Solve 0*u**5 + 43 + 262*u**2 + 68*u**t - u**5 - 21*u**4 - 173*u - 178*u**3 = 0.
1, 43
Suppose -u - j - 7 = -3*u, -u = j + 1. Suppose f + u*m = -2, 3*f - 4*m + 6 = 20. Factor 10*w**3 + 4*w**f + 0 + 2/5*w.
2*w*(5*w + 1)**2/5
Let v = -74 - -680. Let l = -603 + v. Solve -3/4 - 9/8*k**5 - 3/2*k**l - 9/4*k**2 + 21/8*k + 3*k**4 = 0 for k.
-1, 2/3, 1
Let l = -169 + 227. Let -62*u - 23*u**2 - l*u + 62*u**2 + 50*u + 27*u**2 + 4 = 0. What is u?
2/33, 1
Let p be 24 + ((-24)/2 - 12). Determine n, given that 4/11*n**2 + 0 + p*n - 6/11*n**3 + 2/11*n**4 = 0.
0, 1, 2
Let o = -2939779549263/19475 - -150951453. Let d = -2/1025 - o. Factor 30/19*w**2 - 2*w**3 - d*w - 4/19 + 14/19*w**4.
2*(w - 1)**3*(7*w + 2)/19
Let x be 154 + (-9 - -8 - (1 - 4)). Let a be (-5)/((-35)/(-3)) - x/(-21). Solve 20*m**3 - 19*m**3 + 7*m**2 - a*m - 7*m**2 - 6 = 0.
-2, -1, 3
Suppose 0 = 6*v - 5*v - 164. Let d be 10/(-45) + v/9. Factor -d*x**2 - 8*x - 23*x**2 + 29*x**2 - 4*x**3.
-4*x*(x + 1)*(x + 2)
Factor -24/11*c**2 - 254/11*c + 2/11*c**3 - 228/11.
2*(c - 19)*(c + 1)*(c + 6)/11
Let l(j) = -11*j**4 + j**3 + 18*j**2 - 11*j - 17. Let t(q) = 27*q**2 - 321 - 16*q**4 + 296 + 2*q**3 - 5*q - 11*q. Let y(g) = 7*l(g) - 5*t(g). Factor y(z).
3*(z - 2)*(z - 1)*(z + 1)**2
Let n = -55 + 60. Suppose -n*f + k = -10, 3*f - 73*k - 6 = -70*k. Factor 4/3*j**4 - 4*j**3 + 0*j**f + 0 + 16/3*j.
4*j*(j - 2)**2*(j + 1)/3
Let m(s) be the first derivative of -150*s**2 - 51 + 88*s - 28/3*s**3. Find w, given that m(w) = 0.
-11, 2/7
Suppose 8*c - 13*c**3 + 12*c**4 - 19 + 5*c**3 + 51 + 220 - 256*c**2 - 8*c**4 = 0. What is c?
-7, -1, 1, 9
Let g(u) be the first derivative of -11 + 0*u - 2/15*u**3 + 1/300*u**5 - 3/2*u**2 + 0*u**4. Let d(y) be the second derivative of g(y). What is k in d(k) = 0?
-2, 2
Let t(a) = 4551*a - 27302. Let m be t(6). Factor -16/3 - m*h - 2/3*h**2.
-2*(h + 2)*(h + 4)/3
Let i = -463607/4 - -2318043/20. Factor -i*y**2 + 104/5 + 48/5*y.
-2*(y - 26)*(y + 2)/5
Let y(q) be the first derivative of 424*q**3 - 1152*q - 5/2*q**6 + 1200*q**2 - 63/2*q**4 + 269 - 129/5*q**5. What is m in y(m) = 0?
-4, 2/5, 3
Let c(b) = 2*b**2 + 64*b - 24. Let j be c(-32). Let k be (-3*j/(-54))/(-3). Suppose -4/3*z + 28/9*z**2 + 0 + k*z**4 - 20/9*z**3 = 0. Calculate z.
0, 1, 3
Let z be (-11)/1 - (11153/(-285) + 28). Suppose 4418/15*v**2 + z - 188/15*v = 0. Calculate v.
1/47
Suppose 149*s = -244*s - 133*s. Solve -16/7*z - 2/7*z**2 + s = 0 for z.
-8, 0
Let q = 292577 - 585153/2. Find v such that -10 - q*v**3 - 29/2*v - 5*v**2 = 0.
-5, -4, -1
Find m such that 486 + 50/3*m**2 + 180*m = 0.
-27/5
Let c(w) be the first derivative of -w**4/2 - 560*w**3/3 + w**2 + 560*w - 4627. Factor c(t).
-2*(t - 1)*(t + 1)*(t + 280)
Let t(i) = -10*i**3 - 283*i**2 + 18731*i - 71835. Let x(h) = 11*h**3 + 284*h**2 - 18704*h + 71836. Let v(u) = -12*t(u) - 11*x(u). Factor v(o).
-(o - 134)**2*(o - 4)
Let o(z) be the second derivative of 3/40*z**5 - 13/4*z**3 + 204*z + 0 - 1/4*z**4 - 15/2*z**2. Factor o(u).
3*(u - 5)*(u + 1)*(u + 2)/2
Let f be 48 + 1420/(-30) - -3*(-8)/117. Determine z, given that f*z**5 + 10/13*z**4 + 0*z**2 + 0*z + 0 - 4/13*z**3 = 0.
-2, 0, 1/3
Let s(m) be the second derivative of m**5/15 + 13*m**4/9 - 176*m**3/3 + 600*m**2 - 91*m - 4. Factor s(h).
4*(h - 6)**2*(h + 25)/3
Factor -1/5*f**2 - 1445 - 34*f.
-(f + 85)**2/5
Suppose -3*r - 211 = 290. Let d = 169 + r. Solve 45*t**d + 1/2*t**4 + 8*t**3 + 125/2 + 100*t = 0 for t.
-5, -1
Let k(p) = -60*p**3 - 540*p**2 + 6430*p - 5900. Let t(z) = 5*z**3 + 45*z**2 - 536*z + 492. Let y(s) = -3*k(s) - 35*t(s). Factor y(a).
5*(a - 6)*(a - 1)*(a + 16)
Let s(q) be the first derivative of -q**4/7 - 6204*q**3/7 - 14433606*q**2/7 - 14924348604*q/7 + 2863. Determine v so that s(v) = 0.
-1551
Let a(r) = -44*r**2 - 744*r + 1640. Let c(o) be the second derivative of 3*o**4/2 + 99*o**3/2 - 328*o**2 - 2*o - 34. Let d(t) = -5*a(t) - 12*c(t). Factor d(s).
4*(s - 2)*(s + 41)
Let -96*u**3 - 65/2*u + 97*u**2 + 1/2*u**5 + 31*u**4 + 0 = 0. What is u?
-65, 0, 1
Let y(d) be the s