 - 29/4.
(g - 1)*(g + 29)/4
Let z(t) be the first derivative of -3*t**5/5 + 150*t**4 - 10000*t**3 + 4422. Factor z(f).
-3*f**2*(f - 100)**2
Let r(i) be the third derivative of -i**6/1020 + 13*i**5/170 - 3*i**4/17 - 76*i**3/51 - 3779*i**2. Find p, given that r(p) = 0.
-1, 2, 38
Factor -38*c + 11*c**3 + 0 + 1/2*c**4 + 53/2*c**2.
c*(c - 1)*(c + 4)*(c + 19)/2
Let p be (-3150)/(-147) + (-3)/7. Let t be p/(-728) + 8/52. Find y, given that -3/8*y - 1/8*y**3 - t - 3/8*y**2 = 0.
-1
Let x(k) = 11*k**3 - 479*k**2 - 1009*k - 513. Let c(w) = 9*w**3 - 484*w**2 - 1010*w - 512. Let a(r) = 6*c(r) - 5*x(r). What is i in a(i) = 0?
-507, -1
Let u(w) be the first derivative of 29 - 30*w - 15*w**2 - 25/6*w**3 - 5/12*w**4. Let c(o) be the first derivative of u(o). What is a in c(a) = 0?
-3, -2
Find m such that 32759 + 110034 - m**2 + 822*m + 26128 + 2*m**2 = 0.
-411
Suppose 305*g = a + 302*g - 13, g + 7 = a. Let n(l) be the first derivative of -26 - a*l + 4/3*l**3 - 2*l**2 + l**4. Factor n(b).
4*(b - 1)*(b + 1)**2
Let m(j) be the first derivative of 121*j**4/3 + 3212*j**3/9 - 608*j**2/3 + 112*j/3 + 605. Let m(w) = 0. Calculate w.
-7, 2/11
Suppose 2*u + 5*q - 18 = 0, 4*u + 10 = -2*q + 14. Let i be u*1*(17 - 21). Find f, given that 2*f**3 - 2*f + 8/5*f**i - 2/5 - 6/5*f**2 = 0.
-1, -1/4, 1
Let k(l) be the second derivative of -l**6/40 + 879*l**5/80 - 73*l**4/4 - 10*l - 10. Solve k(o) = 0 for o.
0, 1, 292
Let h(k) be the first derivative of -k**5 + 705*k**4/2 - 31695*k**3 - 304560*k**2 - 933120*k + 3043. Factor h(n).
-5*(n - 144)**2*(n + 3)**2
Factor -1/4*s + 61/4 + 1/4*s**3 - 61/4*s**2.
(s - 61)*(s - 1)*(s + 1)/4
Let c(p) be the third derivative of p**8/168 - p**7/35 - p**6/60 + 7*p**5/30 - 4*p**3/3 - 263*p**2 - 2. Solve c(b) = 0.
-1, 1, 2
Let p(m) be the second derivative of m**7/105 + 29*m**6/75 - 99*m**5/25 + 206*m**4/15 - 56*m**3/3 + 9*m + 126. Determine y, given that p(y) = 0.
-35, 0, 2
Suppose 5*i - 15 = -5*w, 0 = 5*w - 15*i + 10*i - 5. Determine v so that -6*v**w + 229*v + 10*v**2 + 267*v + 15376 = 0.
-62
Let n(k) be the second derivative of k**4/36 + 53*k**3 + 75843*k**2/2 + 4908*k. Find p, given that n(p) = 0.
-477
Suppose -191*q - 103 = -485. Let o(g) be the second derivative of -46*g - 1/21*g**4 + 10/21*g**3 - 8/7*g**q + 0. Find x, given that o(x) = 0.
1, 4
Let i(x) = -4*x**2 + 28*x + 32. Let u(w) = 2 - 3 + 39*w - 40*w. Let q(k) = -i(k) + 8*u(k). Let q(h) = 0. What is h?
-1, 10
Suppose -40*u + 161 + 159 = 0. Let i be (-6)/u + 24/16. Determine p, given that i*p + 0*p**4 - 1/2*p**2 - p**3 + 1/4*p**5 + 1/2 = 0.
-1, 1, 2
Let l be 15 + 5337/54 - (-1)/6. Let y be 1 + ((-26)/30 - l/855). Suppose 1/3*f + y - 1/6*f**2 = 0. What is f?
0, 2
Suppose 0 = -156*s - 115*s. Let b(g) be the third derivative of s*g + 2/7*g**3 - 21*g**2 - 1/140*g**5 + 3/56*g**4 + 0. Find f, given that b(f) = 0.
-1, 4
Let c(d) = 2*d**3 + 1. Let o(q) = -21*q**3 + 31*q - 40. Let m(n) = -10*c(n) - o(n). Factor m(h).
(h - 5)*(h - 1)*(h + 6)
Let n be 8 + (-6)/(18/(-39)). Suppose 2*d + n = 5*c, 0*c + 5*c - 35 = -5*d. Solve -3/2*l**4 + 1/2*l**5 + 0 + 1/8*l + 13/8*l**3 - 3/4*l**d = 0.
0, 1/2, 1
Suppose -8874*g - 67*g**3 + 5*g**4 + 8874*g + 26*g**2 = 0. Calculate g.
0, 2/5, 13
Let q(y) be the third derivative of 3*y**5/20 - 13*y**4/6 - 2*y**3 - 2327*y**2. Factor q(t).
(t - 6)*(9*t + 2)
Determine r so that -40*r**3 - 45*r**3 + 84*r**3 - 4*r**2 + 36 - r + 14*r - 4*r = 0.
-4, -3, 3
Let y be 8/16 + 10 + 2764/(-264). Let z(a) be the second derivative of 0*a**3 - 24*a + 0 - 1/22*a**5 + 0*a**2 + y*a**4 + 4/165*a**6 - 1/231*a**7. Factor z(v).
-2*v**2*(v - 2)*(v - 1)**2/11
Let f = 2527/215 + 7469/645. Solve -38/9*o**3 + 2/9*o**4 + f*o**2 - 98/9*o - 1372/9 = 0 for o.
-2, 7
Let l = 68 - 68. Suppose 3*f - 93 = 3*s, f + 5*s - 7 = -l. Determine n, given that 2*n**5 - 69*n**4 - 90*n**3 - 11*n**5 - 3*n**5 + f*n**2 = 0.
-3, 0, 1/4
Let n(s) = 1440*s**2 + 2577*s + 3396. Let x(u) = -193*u**2 - 368*u - 485. Let p(h) = 2*n(h) + 15*x(h). Find b such that p(b) = 0.
-23, -7/5
Let l = -2950 + 2954. Let o(q) be the third derivative of -2/35*q**7 + 1/30*q**6 + 0 + 0*q**3 + 0*q + 0*q**l + 2/15*q**5 + 16*q**2. Factor o(x).
-4*x**2*(x - 1)*(3*x + 2)
Factor 53312/3 - 5012*z + 344*z**2 + 4/3*z**3.
4*(z - 7)**2*(z + 272)/3
Suppose 169 = 7*d - 125. Let j be ((-245)/d - -6)*(3 - -1). Factor -2*n**5 - 14/3*n - 26/3*n**4 - 12*n**2 - 44/3*n**3 - j.
-2*(n + 1)**4*(3*n + 1)/3
Let -2/7*z**5 + 0 + 12/7*z**4 - 32/7*z + 34/7*z**3 - 12/7*z**2 = 0. Calculate z.
-2, -1, 0, 1, 8
Suppose 0 = -3*a + 2*n + 10, a + 26*n = 22*n + 22. Let v be a/9 + 8/(-18). Factor -1/9*x + 0 + 0*x**3 - v*x**4 + 2/9*x**2 + 1/9*x**5.
x*(x - 1)**3*(x + 1)/9
Suppose -79*k - 76*k = -620. Let c(o) be the third derivative of 0 - 1/18*o**3 + 0*o - 1/45*o**5 + 5/108*o**k - 1/1890*o**7 + 1/180*o**6 + 5*o**2. Factor c(h).
-(h - 3)*(h - 1)**3/9
Let j(n) be the first derivative of 1/60*n**4 - 3*n + 8/15*n**3 + 32/5*n**2 - 5. Let x(o) be the first derivative of j(o). Factor x(y).
(y + 8)**2/5
Let u be (-290977)/(-21291) + 1/(27/(-13) + 2). Determine z, given that -1176 - u*z**2 - 56*z = 0.
-42
Let k = 288918 + -288916. Let z = -1/35 + 3/5. Suppose 6/7*q - 2/7*q**3 + 0*q**k + z = 0. Calculate q.
-1, 2
Let k(s) = 2*s**3 - 8*s**2 - 2*s. Let m(u) = -2*u**3 + 10*u**2 + 3*u. Suppose -7*j = 8 + 6. Let p(a) = j*m(a) - 3*k(a). Find i, given that p(i) = 0.
0, 2
Let u be ((-19)/(114/48))/(-2). Let p(o) be the third derivative of 0*o**u + 0 + 0*o**6 + 0*o**3 + 0*o + 2*o**2 - 1/15*o**5 + 2/105*o**7. Factor p(v).
4*v**2*(v - 1)*(v + 1)
Let n(l) be the third derivative of -l**6/720 - 23*l**5/120 - 493*l**4/48 - 9251*l**3/36 + 3286*l**2 + 2*l - 2. Factor n(q).
-(q + 11)*(q + 29)**2/6
Let x(r) be the second derivative of -r**7/21 - 1082*r**6/15 - 291597*r**5/10 + 293222*r**4/3 - 293764*r**3/3 + 2710*r. Suppose x(v) = 0. What is v?
-542, 0, 1
Let t(c) be the second derivative of 76*c + 3*c**2 + 0 - 12/5*c**5 - 17/2*c**3 + 10*c**4. Factor t(k).
-3*(k - 2)*(4*k - 1)**2
Let a(g) be the third derivative of 9*g**8/112 + g**7/7 - 27*g**6/40 - 3*g**5/5 + 5*g**4/2 - 5389*g**2. Find n, given that a(n) = 0.
-2, -10/9, 0, 1
Suppose 5*d - 5*y - 1 = -11, 0 = d - 2*y + 7. Let h(r) be the third derivative of 5/8*r**4 + 1/24*r**6 + 0*r + 0 - d*r**2 + 1/3*r**5 + 0*r**3. Factor h(l).
5*l*(l + 1)*(l + 3)
Let r be 2*(-5 - (3 + -17 + 8)). Let x(g) be the third derivative of -2*g**2 + 0 - 1/15*g**5 + 0*g - 2/3*g**4 - r*g**3. Factor x(d).
-4*(d + 1)*(d + 3)
Suppose 10*f = -f + 7*f + 8. Let g(n) be the first derivative of 0*n**3 - 17 + 0*n**f + 16/25*n**5 - 2/15*n**6 + 0*n - 4/5*n**4. Factor g(l).
-4*l**3*(l - 2)**2/5
Let o(h) = 10*h**2 + 1166*h + 1204. Let b(u) = -9*u**2 - 1169*u - 1202. Let p(i) = 8*b(i) + 7*o(i). Factor p(v).
-2*(v + 1)*(v + 594)
Let c be 2/(-6) + (-238)/(-102). Solve -51 + 5*o**c - o - o + 48 = 0 for o.
-3/5, 1
Solve -1/2*z**2 - 1945/2*z + 973 = 0.
-1946, 1
Let d(k) = -k - 2. Let o be d(5). Let l(u) = -2*u**3 - 5*u**2 + u - 6. Let n be l(o). Factor -n*j**4 + 5*j**3 + 9*j**2 + 7*j**3 + 431*j**4.
3*j**2*(j + 1)*(j + 3)
Suppose 1869 = 36*f + 1761. Factor 7/2*y**f + 155/2*y + 34*y**2 - 25.
(y + 5)**2*(7*y - 2)/2
Let s be -4 + (17780/55)/2. Suppose -225*p + 229*p + 2*q = 18, 25 = 5*q. Determine j, given that -s*j**3 + 248/11*j + 16/11 + 68*j**p = 0.
-2/17, 2/3
Let j(i) be the third derivative of i**6/900 + 179*i**5/25 + 96123*i**4/5 + 137648136*i**3/5 - i**2 - 1054*i - 4. Factor j(l).
2*(l + 1074)**3/15
Solve 50*q**2 + 64*q - 30*q**4 + 1264 - 38*q**4 + 162*q**2 - 1408 - 64*q**3 = 0.
-2, -1, 1, 18/17
Suppose -5*f = 7*f - 36. Factor 4*u**2 + 38*u**3 - 8*u**2 - 12*u**2 - 2*u**4 + 34*u**f - 60*u**3.
-2*u**2*(u - 4)*(u - 2)
Let j(f) be the first derivative of f**4/8 + 116*f**3/3 - f**2/4 - 116*f + 234. Factor j(b).
(b - 1)*(b + 1)*(b + 232)/2
What is s in -135/2*s**4 - 129*s + 0 + 135/2*s**2 + 255/2*s**3 + 3/2*s**5 = 0?
-1, 0, 1, 2, 43
Let d(c) be the second derivative of -c**4/16 + 17*c**3/8 + 27*c**2/4 + c + 4685. Solve d(k) = 0.
-1, 18
Let l be 346/519 - (-8)/(-30). What is g in -l*g**2 - 4 - 14/5*g = 0?
-5, -2
Suppose -9*q - q - 70 = 0. Let n(i) = i**3 + 6*i**2 - 9*i - 1. Let s be n(q). Factor -2*d**3 - 2*d**3 + 34*d - 6*d**2 - s*d - 6 - 5*d**3.
-3*(d - 1)*(d + 2)*(3*d - 1)
Let s(l) = -l**3 - 15*l**2 - 26*l +