12*g**2 + 2. Let m(i) be the third derivative of d(i). Factor m(c).
-2*c*(c + 2)*(5*c + 2)/11
Find p such that 230*p**3 + 206*p**2 + 280*p + 39*p**2 - 145*p**2 + 37 + 290*p**2 + 48*p**4 + 35 = 0.
-2, -9/8, -1, -2/3
Solve 139/4*l**3 + 9/4*l**5 - 3 + 61/4*l**4 + 119/4*l**2 + 5*l = 0 for l.
-3, -2, -1, 2/9
Let x(c) = -2*c**3 + 15*c**2 - 6*c - 3. Let p be x(7). Let n(o) = -o + 7. Let j be n(5). Determine g, given that 3*g**p - 3 + 0*g**4 + 6 - 6*g**j = 0.
-1, 1
What is m in -158*m - 11*m + 37*m**2 - 36*m + 26001 - 26851 - 5*m**3 + 63*m**2 = 0?
-2, 5, 17
Let h(f) be the first derivative of -172*f**3/3 + 12*f**2 + 402. Factor h(w).
-4*w*(43*w - 6)
Let a = -540 + 541. Let m(y) = -y**3 + y + 3. Let q(n) = -n**4 + 38*n**3 - 396*n**2 + 1293*n + 1719. Let f(c) = a*q(c) + 3*m(c). Factor f(i).
-(i - 12)**3*(i + 1)
Suppose 26*m + 534 - 286 = 300. Find z such that -2*z + 2/13*z**m - 28/13 = 0.
-1, 14
Let k = -419214/185 + 2266. Let m = k - -197/555. Determine f, given that -4/3*f**2 - m*f**4 + 0 + 4/3*f**3 + 0*f = 0.
0, 2
Let l = -46130 + 46132. Let -5/3*v**l - 34*v - 40/3 = 0. Calculate v.
-20, -2/5
Let s = -4263 - -63947/15. Let h(d) be the second derivative of 0*d**4 + 0*d**2 - 3*d + 0 - s*d**6 + 1/5*d**5 + 0*d**3. Determine b so that h(b) = 0.
0, 1
Let y(o) = 5*o - 64. Let m be y(20). Suppose m = -0*g + 9*g. Factor -2*h**2 + 3*h + 4*h**4 - 7*h**2 + 8*h**g + 0*h.
3*h*(h + 1)*(2*h - 1)**2
Find i, given that 3/4*i**5 - 39/4*i**4 - 93/4*i + 45/2*i**3 - 135/4 + 87/2*i**2 = 0.
-1, 1, 5, 9
Let n(m) be the first derivative of 1/10*m**5 - 83 - 1/2*m**3 + 0*m - 1/2*m**2 + 0*m**4. Determine t, given that n(t) = 0.
-1, 0, 2
Suppose 41 - 75 = -17*q. Suppose -q*m + 6 = 0, -4*b - 2*m + 5*m - 1 = 0. Let -3/7*l + 6/7*l**b + 3/7*l**5 + 0*l**3 - 6/7*l**4 + 0 = 0. What is l?
-1, 0, 1
Let i(u) be the first derivative of -u**3 + 351*u**2 - 1392*u + 843. Find n, given that i(n) = 0.
2, 232
Let h be 0/(-4 + -4) - -2. Factor 7*p**2 + p**3 - 18*p**2 + 3*p**h.
p**2*(p - 8)
Let v(z) = -2*z**2 + z**2 + 9 - 6*z + 3*z**2 + z**3. Let l be v(-4). Factor l - 1 + 5*o**2 + 91*o - 86*o.
5*o*(o + 1)
Let f = 49201/14763 + 3/4921. Let w(p) be the first derivative of 0*p**2 + 5/4*p**4 + 0*p + f*p**3 - 45. Factor w(j).
5*j**2*(j + 2)
Let v(f) = -34*f**3 + 8*f**2 - 22*f. Let x(s) = 14*s**3 - 3*s**2 + 9*s. Let u = -164 + 169. Let l(c) = u*v(c) + 12*x(c). Factor l(a).
-2*a*(a - 1)**2
Suppose 19*z + 32 = 23*z. Suppose 0 = x + 2, 3*x + 20 = 3*q + z. What is p in 4/5 - 12*p**q - 104/5*p**4 + 6*p**5 + 128/5*p**3 + 2/5*p = 0?
-1/5, 2/3, 1
Let w(j) be the third derivative of -j**6/120 + 7*j**5/60 + 7*j**4/12 - 20*j**3 - j**2 - 604*j - 2. Factor w(t).
-(t - 6)*(t - 5)*(t + 4)
Let m(b) = -205*b - 60. Let j be m(-4). Let d be (-80)/j + (-4)/(-38). Solve d*k + 1/4*k**3 + 0 + 1/4*k**2 = 0 for k.
-1, 0
Let w(o) = -o**3 + 2. Let f(x) be the first derivative of x**4 - 4*x**3 - 8*x**2 - 12*x - 39. Let a(i) = -f(i) - 6*w(i). Determine s so that a(s) = 0.
-4, -2, 0
Let m(n) be the second derivative of n**5 - 295*n**4/4 + 1915*n**3/6 - 525*n**2 + 10986*n. Factor m(p).
5*(p - 42)*(p - 1)*(4*p - 5)
Let v(f) = 6*f - 5*f - 2*f. Let s(y) = -8*y**2 - 8*y - 12. Let j(x) = -17*x**2 - 15*x - 23. Let p(r) = 6*j(r) - 13*s(r). Let t(b) = p(b) + 2*v(b). Factor t(n).
2*(n + 3)**2
Factor 12/7 - 8/7*f - 20/7*f**2.
-4*(f + 1)*(5*f - 3)/7
Suppose -u - 7*u = -1 - 31. Let r(t) be the third derivative of 0 + 36*t**2 + 0*t - 2/135*t**5 - 1/27*t**3 + 5/108*t**u. Factor r(d).
-2*(d - 1)*(4*d - 1)/9
Let j be 84*(-10)/405*-312. Let d = 1952/3 - j. Determine r so that -d - 2/9*r**2 - 16/9*r = 0.
-4
Let q = -468 - 100. Let h = -566 - q. Solve -3/2*s**4 - 1/2*s**3 - 1/2*s + 0 + s**5 + 3/2*s**h = 0 for s.
-1, 0, 1/2, 1
Let m(y) be the second derivative of -2*y - 9/2*y**2 + 36 - 1/8*y**4 - 5/4*y**3. Factor m(g).
-3*(g + 2)*(g + 3)/2
Determine q so that -144*q + 95*q - 4*q**3 - 255*q - 158*q - 96*q**2 - 448 - 78*q = 0.
-16, -7, -1
Let c(j) be the first derivative of -j**3 - 57*j**2/2 - 545. Solve c(z) = 0 for z.
-19, 0
Solve -2430 - 25*s**3 - 27*s - 9725*s**4 + 177*s**2 + 19453*s**4 - 9727*s**4 = 0.
-3, 9, 10
Let i = -50 + 68. Suppose 4*c = -2*h + i, 11 = -2*h - 2*c + 25. Factor 35*z**3 + h*z**2 - 31*z**3 - 17*z**2.
4*z**2*(z - 3)
Let h(l) be the first derivative of 0*l**3 + 8 - 1/48*l**4 + 1/2*l**2 - 11*l. Let s(x) be the first derivative of h(x). Factor s(q).
-(q - 2)*(q + 2)/4
Find n, given that -16384/3 + 44*n**3 + 5632*n - 1/3*n**4 - 4612/3*n**2 = 0.
2, 64
Let o be (-9)/1 - 1*54/(-6). Suppose 5*y = 19*y - 28. Find r such that -9/5*r**y + 3/5*r**3 + o + 0*r = 0.
0, 3
Let l = -48753/7 - -6967. Factor l*v - 2/7*v**5 + 8/7*v**2 - 10/7*v**4 - 12/7*v**3 + 0.
-2*v*(v - 1)*(v + 2)**3/7
Let f(c) = 131*c - 1965. Let x be f(15). Let y(w) be the third derivative of 17*w**2 + x + 2/3*w**4 + 2*w**3 + 1/15*w**5 + 0*w. Factor y(r).
4*(r + 1)*(r + 3)
Let d(t) be the third derivative of 5*t**7/21 - t**6 + 23*t**5/15 - t**4 + t**3/3 + 53*t**2 + 13*t. Solve d(u) = 0 for u.
1/5, 1
Let f(k) = 3*k**4 - k**2 - 2*k + 1. Let g(o) = 11*o**4 - 50*o**3 - 216*o**2 + 570*o - 311. Let b(s) = -8*f(s) + 2*g(s). Let b(j) = 0. Calculate j.
-45, -7, 1
Let v(j) be the first derivative of 2*j**5/45 - 73*j**4/9 + 12266*j**3/27 - 19564*j**2/3 + 35912*j - 2376. Let v(q) = 0. Calculate q.
6, 67
Let z(q) = 16953*q + 118671. Let f be z(-7). Suppose 4*x = -h - 0*x + 10, -2*h + 6 = x. Find a such that f*a - 2/17*a**4 + 6/17*a**3 + 8/17*a**h + 0 = 0.
-1, 0, 4
Let c be (-10102)/6*((-55)/(-22) - 3). Let h = 851 - c. Factor -h*t - 5/6*t**3 + 25/6 + 35/6*t**2.
-5*(t - 5)*(t - 1)**2/6
Let c be 44/(-33)*1*-3. Suppose -3*z - 50 = 3*d - c*d, 3*d = -z + 150. Factor -40 - d*y**3 - 8*y**2 - 22*y**2 + 26*y + 34*y + 55*y**3.
5*(y - 2)**3
Let f be 10/(-250)*-10 - (-16)/10. What is g in 8630*g**3 - 8618*g**3 - 14*g - 3*g**2 + g**2 + f + 2*g = 0?
-1, 1/6, 1
Suppose -39 = l + 12*l. Let b be l + 0 + 0 - (-60)/18. Factor 0 - 1/3*c + b*c**2.
c*(c - 1)/3
Let t(h) be the second derivative of -5 + 3*h - 21/16*h**2 + 1/8*h**3 + 5/32*h**4. Factor t(r).
3*(r - 1)*(5*r + 7)/8
Suppose -1378 = -16*o - 1346. Let h(u) be the second derivative of 0 + 6*u + 1/24*u**4 - 1/2*u**3 - 9/8*u**o + 1/20*u**5 - 1/120*u**6. Solve h(k) = 0 for k.
-1, 3
Let u(a) be the first derivative of -a**7/315 - a**6/180 + a**5/90 + a**4/36 + 125*a**2/2 + 150. Let q(m) be the second derivative of u(m). Factor q(h).
-2*h*(h - 1)*(h + 1)**2/3
Factor 101/7 - 1/7*w**2 + 100/7*w.
-(w - 101)*(w + 1)/7
Let c(h) be the third derivative of -h**6/120 - 26*h**5/3 - 173*h**4/8 + 947*h**2 + h + 2. Factor c(k).
-k*(k + 1)*(k + 519)
Let l be (32/(-10))/(-2) - 0. Let r be 1 - ((2 - (-12 + 13)) + (-3)/1). Factor -2/5*h**r + 0*h - 6/5*h**2 + l.
-2*(h - 1)*(h + 2)**2/5
Let b(j) be the third derivative of -j**5/480 - 3*j**4/16 + 838*j**2. Factor b(o).
-o*(o + 36)/8
Find b, given that -288 + 40/3*b**3 - 2/3*b**4 - 96*b**2 + 288*b = 0.
2, 6
Let d(f) = 132*f**2 - 764*f + 752. Let k(g) = 49*g**2 - 255*g + 251. Let x(o) = 3*d(o) - 8*k(o). Find y such that x(y) = 0.
1, 62
Let t(p) = -p. Suppose 6*v + 2*v = -632. Let w = -61 - v. Let y(z) = 3*z**2 + 9*z + 6. Let d(f) = w*t(f) + y(f). What is r in d(r) = 0?
1, 2
Let x(a) be the second derivative of 2/7*a**4 + 0*a**2 - 4/15*a**6 + 13/70*a**5 + 0 - 3/14*a**3 - 175*a - 1/6*a**7. Let x(f) = 0. Calculate f.
-1, 0, 3/7
Let m(w) = 2 + 8*w + 16*w - 44*w - 60*w**2 + 38*w - 35*w**3. Let n(c) = 8*c + 0 - 60*c**2 + 3 - 35*c**3 + 9*c. Let g(t) = -3*m(t) + 2*n(t). Factor g(r).
5*r*(r + 2)*(7*r - 2)
Let z(m) be the first derivative of 0*m - 6*m**2 - 38/3*m**3 - 18/5*m**5 - 1/3*m**6 - 21/2*m**4 + 153. Factor z(s).
-2*s*(s + 1)**3*(s + 6)
Determine b, given that 6/7*b**2 + 0 - 2/7*b**4 + 8/7*b**3 - 36/7*b = 0.
-2, 0, 3
Let a = -302 - -305. Factor -14*y**3 + 18*y**3 - 8*y**a - 4*y**5 - 8*y**3 - 16*y**4.
-4*y**3*(y + 1)*(y + 3)
Let a = -978775/2 - -489389. Solve 4*t - a + 1/2*t**4 - 3*t**2 + 0*t**3 = 0.
-3, 1
Let x(l) be the second derivative of -l**4/4 + 245*l**3 - 180075*l**2/2 + 9*l + 193. Factor x(f).
-3*(f - 245)**2
Let r(k) be the first derivative of k**7/2520 - k**6/90 - 3*k**5/40 - 7*k**4/36 + k**3/3 + 63*k - 144. Let g(f) be the third derivative of r(f). Factor g(i).
(i - 14)*(i + 1)**2/3
Suppose 14*h = 15*h - 5. Suppose 2*i + 