 Let s(p) be the first derivative of 5/4*p**4 + 75*p**3 + 16875*p - l + 3375/2*p**2. Solve s(u) = 0.
-15
Let m(c) be the first derivative of -c**4 + 104 - 44*c + 2*c**2 + 44/3*c**3. Let m(n) = 0. Calculate n.
-1, 1, 11
Suppose -16*n - 548 = -1092. Let z(p) be the second derivative of -2*p**3 + 0*p**2 + 23/6*p**4 - n*p + 0 + 2/5*p**5. Let z(l) = 0. What is l?
-6, 0, 1/4
Let b(h) be the first derivative of -h**5/5 - 431*h**4/4 + 433*h**3 - 1301*h**2/2 + 434*h + 4352. Factor b(k).
-(k - 1)**3*(k + 434)
What is h in -32/3*h + 65/6*h**2 + 2/3*h**5 + 2 + 0*h**3 - 17/6*h**4 = 0?
-2, 1/4, 1, 2, 3
Let y = -47111 + 470711/10. Let i = y - -1671/40. Factor -9/4*n**3 - 3/8*n**5 + 0 - i*n**4 + 3/2*n**2 + 3*n.
-3*n*(n - 1)*(n + 2)**3/8
Let s(v) = -4*v**3 + v**2 + 2*v - 1. Let x(f) = 26*f**3 + 85*f**2 - 864*f - 4993. Let q(d) = -7*s(d) - x(d). What is r in q(r) = 0?
-4, 25
Let l(d) be the second derivative of 0*d**3 + 0*d**2 + 2/45*d**6 + 5 - 2/9*d**4 - 2*d - 1/15*d**5. Determine g so that l(g) = 0.
-1, 0, 2
Suppose 3*m - 5*b + 1 - 26 = 0, 3*m + 3*b = 57. Suppose -132 = m*n - 17*n. Factor -60*d**2 + 131*d**2 - n*d**2.
5*d**2
Let c(m) be the third derivative of m**5/160 - 457*m**4/64 - 229*m**3/8 - 1379*m**2. Factor c(f).
3*(f - 458)*(f + 1)/8
Let j(h) = -h**3 - 5*h**2 - 5*h + 1. Let w be j(-4). Suppose 2*c - 4 = w*k, 0*c = 3*c - 5*k - 11. Factor -2*z**3 + z**2 - z**2 - 10 - 15*z + c*z**3.
5*(z - 2)*(z + 1)**2
Let p(z) = 2*z + 11*z + 110 + 0*z - 9*z + 5*z. Let d be p(-12). Factor 3/4*y**d + 9/4 - 3*y.
3*(y - 3)*(y - 1)/4
Let y = 38764166/47958375 - -14/125875. Let o = y + -18/127. Factor -o*z + 2/5*z**2 - 4/15.
2*(z - 2)*(3*z + 1)/15
Let d(r) be the third derivative of -799/30*r**5 + 230*r**2 - 3*r**4 + 0 + 76/3*r**3 + 0*r - 7/20*r**6. Find g, given that d(g) = 0.
-38, -1/3, 2/7
Let s be (30/24 - 1)*2*4. Suppose -2*u = -s*u + u. What is i in 30*i**2 + 5*i - 40*i**3 + 10*i - 5 + u*i = 0?
-1/2, 1/4, 1
Suppose 0 = 3*k + 6, j - 2*k - 4 = -j. Factor 0*s - 154 - 2*s**2 + 156 + j*s.
-2*(s - 1)*(s + 1)
Let x(z) be the third derivative of -z**6/100 + 2361*z**5/10 - 9290535*z**4/4 + 12186085075*z**3 + 11*z**2 + 2*z - 296. Factor x(d).
-6*(d - 3935)**3/5
Suppose 0 = 13*f - 15*f + 96. Suppose 2*g + 2*g = f. Find j, given that -2*j - 4*j**3 - 11 - g*j**2 + 7 - 10*j = 0.
-1
Let f(x) = -418*x**3 - 30*x**2 + 300*x - 648. Let r(z) = -35*z**3 + z**2 + z. Let s(m) = f(m) - 12*r(m). Factor s(g).
2*(g - 9)*(g - 6)**2
Let q(t) be the second derivative of 16/27*t**4 + 0 + 88*t + 0*t**2 - 1/189*t**7 - 4/15*t**5 + 8/135*t**6 - 16/27*t**3. Find s, given that q(s) = 0.
0, 2
Let l(y) be the first derivative of 2*y**3/11 - 279*y**2/11 - 640. Find b such that l(b) = 0.
0, 93
Let n(g) be the first derivative of -g**3/3 - 121*g**2 - 865. Let n(k) = 0. Calculate k.
-242, 0
Let h(j) be the second derivative of j**6/2 + 127*j**5/4 - 1765*j**4/12 + 1565*j**3/6 - 225*j**2 - 29*j - 55. Find i such that h(i) = 0.
-45, 2/3, 1
Let h(z) be the second derivative of -z**9/52920 - z**8/3920 - z**7/980 - 25*z**4/4 + 25*z. Let b(s) be the third derivative of h(s). Factor b(y).
-2*y**2*(y + 3)**2/7
Suppose 45*f + 36 = 2*h + 47*f, -4*f + 88 = 8*h. Let 3*z - 51/4*z**h + 0 - 63/4*z**3 + 9*z**2 + 9*z**5 = 0. Calculate z.
-1, -1/4, 0, 2/3, 2
Suppose 149*k + 5*y = 152*k + 6, -k + 4*y = 2. Let u be (23 - 21)/(k/(-3)). Factor 2/9*r**u + 0 + 2/9*r + 4/9*r**2.
2*r*(r + 1)**2/9
Let w(f) be the first derivative of f**5/40 - 7*f**4/32 - 9*f**3/8 - 29*f**2/16 - 5*f/4 - 1996. Factor w(a).
(a - 10)*(a + 1)**3/8
Let b = 478/13 + -1330/39. Let j(i) be the first derivative of -1/2*i**2 - 18 - 4*i**4 + 0*i + b*i**3. Solve j(m) = 0.
0, 1/4
Let f(z) be the second derivative of -z**6/10 - 813*z**5/10 - 76101*z**4/4 - 360430*z**3 - 2653350*z**2 - 5214*z. Solve f(i) = 0 for i.
-266, -5
Let i(f) be the second derivative of 47/33*f**3 + 22*f + 0 + 16/33*f**4 + 18/11*f**2 + 3/110*f**5. Factor i(g).
2*(g + 1)*(g + 9)*(3*g + 2)/11
Suppose l = 5*d - 8, 34*d + 4 = l + 35*d. Let j = 792 - 790. Determine p, given that j*p + 4/7*p**l + 8/7 - 2/7*p**3 = 0.
-1, 4
Let d be ((-6)/4)/(2859/(-9530)). Factor 0*m - 56/3*m**2 - 64/3*m**3 - 2/3*m**d - 22/3*m**4 + 0.
-2*m**2*(m + 2)**2*(m + 7)/3
Let j(x) be the second derivative of 1/90*x**6 - x - 1 - 1/60*x**5 - 1/36*x**4 + 1/18*x**3 + 0*x**2. Let j(w) = 0. What is w?
-1, 0, 1
Suppose -4*v - 18 = -2*t, 3*t = -2*v + 6*t - 15. Let i(h) = -19*h - 57. Let u be i(v). Factor -2/13*b**2 + 0*b**3 + 0 + 2/13*b**4 + u*b.
2*b**2*(b - 1)*(b + 1)/13
Let u(i) = i**2 + 1338*i + 145202. Let z(q) = 6*q**2 + 9375*q + 1016415. Let j(m) = -15*u(m) + 2*z(m). Factor j(a).
-3*(a + 220)**2
Let z(a) be the third derivative of a**6/12 + 25*a**5/12 - 235*a**4/24 - 175*a**3/3 + 3*a**2 - 73*a. Solve z(c) = 0.
-14, -1, 5/2
Determine y so that -3*y**3 - 3/8*y**5 + 0*y**2 + 0 - 9/4*y**4 + 0*y = 0.
-4, -2, 0
Let r = -935644 - -6549512/7. Determine p so that -2/7*p**4 + 6/7*p**2 - 8/7 - 8/7*p + r*p**3 = 0.
-1, 2
Let f = -548/5 - -110. Let y = 28721/4 - 143597/20. Solve 0*b - y + f*b**2 = 0 for b.
-1, 1
Let t = -3628 + 3640. Let n(b) be the third derivative of 43/20*b**6 - 73/40*b**5 - 44/35*b**7 - 1/4*b**3 + 0 + 0*b - t*b**2 + 2/7*b**8 + 7/8*b**4. Factor n(s).
3*(s - 1)**2*(4*s - 1)**3/2
Let 232/5*x - 2/5*x**2 - 46 = 0. What is x?
1, 115
Let f(w) be the first derivative of 8*w**5/5 - 17*w**4 + 136*w**3/3 - 50*w**2 + 24*w - 4477. Let f(z) = 0. What is z?
1/2, 1, 6
Suppose -30 = -79*j + 81*j. Let w be 4 + (-5)/(j/(-6)). Suppose -16*n**5 + 4*n + 20*n**3 - 8*n + 12*n**w - 12*n**4 + 0*n = 0. What is n?
-1, 0, 1/4, 1
Suppose v + 3*v = 8. Let k(p) = -p**2 - 10*p - 13. Let o be k(-8). Factor 3*t**v + t - 11*t + 4*t**3 + t**o - 8*t**2.
5*t*(t - 2)*(t + 1)
Let t(b) = -5*b**2 - 200*b - 2006. Let c(r) = 1. Let y be (-3)/(3/(-1) + 4) - -9. Let s(w) = y*c(w) + t(w). Solve s(z) = 0 for z.
-20
Factor 3/7*x**2 - 228/7 - 225/7*x.
3*(x - 76)*(x + 1)/7
Let h be 65 - -502 - (-6)/(-2). Let k = -1690/3 + h. Let -k + 0*f**3 - 2/3*f**4 + 0*f + 4/3*f**2 = 0. Calculate f.
-1, 1
Solve 7651*y - 2977 + 697949*y + 2977 + 4*y**3 + 3360*y**2 = 0.
-420, 0
Suppose -3*k + 21 = -5*v, 10*k - 7*k - 3*v - 15 = 0. Suppose 10*t**3 - 14*t + 20*t**k + 12*t**3 - 24*t**3 - 36 = 0. What is t?
-1, 2, 9
Let n = 60613 - 60610. Solve 0 - 38/7*v**2 - 2/7*v**4 + 22/7*v**n + 18/7*v = 0 for v.
0, 1, 9
Let m(a) = 3*a**2 - 2. Let o be m(0). Let b(l) = l**2 + 7*l + 14. Let p be b(o). Let -2*h + 10*h**4 + 2*h**3 - 1 - 9*h**4 + 0*h**p = 0. Calculate h.
-1, 1
Find s such that -3/4*s**3 + 3531/2*s**2 + 0 - 4155987/4*s = 0.
0, 1177
Let h be 320/280*-35 - -42. Factor -10/3*b - h*b**2 - 4/3.
-2*(b + 1)*(3*b + 2)/3
Let c(v) be the third derivative of v**8/336 - 419*v**7/84 + 68513*v**6/30 + 34322*v**5/15 - 11085*v**2. Factor c(o).
o**2*(o - 524)**2*(2*o + 1)/2
Let q be 6/(-8)*320/(-120). Suppose 4*i = -3*j - 420 + 3947, 5*i - 4432 = 4*j. What is n in 877*n**3 + 2*n**q - i*n**3 - n + n = 0?
0, 2/7
Solve 998/9*y**2 - 2/9*y**4 + 56 + 244/9*y**3 + 1256/9*y = 0.
-2, -1, 126
Let a be (2*12)/((-69)/184). Let o = a + 66. Factor 9*d**2 + 23*d**3 - 108*d + 108 - d**5 - o*d**5 - 9*d**4 + d**5 + 3*d**5.
(d - 3)**3*(d - 2)*(d + 2)
Let n be 0/(225/(-675)*-1*(-2 + 5)). Factor n - 288*f + 144*f**2 + 2/3*f**4 - 18*f**3.
2*f*(f - 12)**2*(f - 3)/3
Let v(z) = 6*z**3 - 47*z**2 + 265*z + 5. Let d(p) = -p**3 - 2*p**2 - p - 1. Let r(t) = 10*d(t) + 2*v(t). Factor r(f).
2*f*(f - 52)*(f - 5)
Determine b, given that -19/4*b**4 - 169/4*b**3 - 62*b**2 + 0 + 7*b = 0.
-7, -2, 0, 2/19
Let f = -194943/4 + 48737. Find l, given that 0*l**3 + 1 - f*l**2 + 0*l + 1/4*l**4 = 0.
-2, -1, 1, 2
Find m such that -1/2*m**2 + 117/2 + 18*m = 0.
-3, 39
Let z(s) be the third derivative of -s**7/2415 - s**6/690 + 2*s**5/115 - 7*s**4/138 + 5*s**3/69 - 408*s**2. Let z(i) = 0. Calculate i.
-5, 1
Find y such that y**4 - 2891*y - 1 - 25*y**2 - 46 - 13 + 19*y**3 + 2788*y = 0.
-20, -1, 3
Let f be 2 - (-28 - (8 - 13)). Let c(g) be the second derivative of 0 - 7/90*g**5 - 1/27*g**4 + 0*g**3 + 0*g**2 + f*g. Find b such that c(b) = 0.
-2/7, 0
Let c(m) be the second derivative of 1/18*m**3 + 0 - 1/144*m**4 + 20*m + 1/720*m**6 - 1/180*m**5 + m**2. Let r(k) be the first derivative of c(k). Factor r(a).
(a - 2)*(a - 1)*(a + 1)/6
Suppose -8*w + 7*w = 174. Let 