*f + 33, 0 = 5*f. Let p = t - -281/9. What is r in 0*r**2 + 2/9*r + 0 - p*r**3 = 0?
-1, 0, 1
Let i(g) = -g**3 + 4*g**2 + 5*g + 2. Let x be i(4). Solve -76*k + 19*k**2 + x - 4 + 91*k - 22*k**2 = 0 for k.
-1, 6
Factor -46672*d + 79*d**3 - 144*d**3 - 2608*d + 61*d**3 - 884*d**2 - 48400.
-4*(d + 1)*(d + 110)**2
Let p(f) be the second derivative of -4*f - 4/5*f**5 + 0*f**2 + 0*f**3 - f**4 + 2/15*f**6 + 4/21*f**7 - 9. Determine h, given that p(h) = 0.
-1, 0, 3/2
Let w = -306 + 315. Suppose 22*t**3 + t**4 + 8*t**2 - w*t**4 + 24*t**4 - 2*t**3 + 4*t**5 = 0. What is t?
-2, -1, 0
Let q(y) = 25*y + y**3 - 7*y**5 - 5*y**2 + 29*y + 6*y**4 + 10 - 49*y. Let z(h) = -3*h**5 + 3*h**4 - 2*h**2 + 2*h + 4. Let j(f) = 6*q(f) - 15*z(f). Factor j(p).
3*p**3*(p - 2)*(p - 1)
Let z(y) be the second derivative of 3*y**5/40 + 13*y**4/2 + 149*y**3/4 + 147*y**2/2 + 5*y - 14. Factor z(b).
3*(b + 1)*(b + 2)*(b + 49)/2
Let y(x) be the second derivative of 2*x + 28*x**2 - 43/6*x**4 - 52/3*x**3 + 4 - 1/2*x**5. Find p, given that y(p) = 0.
-7, -2, 2/5
Let c(t) = 39*t**2 - 2349*t - 4710. Let d(o) = 23*o**2 - 1409*o - 2826. Let b(f) = 7*c(f) - 12*d(f). Factor b(p).
-3*(p - 157)*(p + 2)
Let i(m) be the first derivative of -3364/9*m**2 - 2/45*m**5 + 0*m + 130 - 6496/27*m**3 + 115/18*m**4. Find y such that i(y) = 0.
-1, 0, 58
Let z(m) be the first derivative of -2*m**5/65 + 27*m**4/26 - 48*m**3/13 + 2954. Factor z(u).
-2*u**2*(u - 24)*(u - 3)/13
Let w(g) be the first derivative of -g**6/24 - 21*g**5/5 - 1677*g**4/16 + 1849*g**3/6 - 1308. Factor w(h).
-h**2*(h - 2)*(h + 43)**2/4
Let i(q) be the third derivative of -q**6/480 - q**5/160 - 25*q**3/3 + 47*q**2. Let f(c) be the first derivative of i(c). Factor f(h).
-3*h*(h + 1)/4
Let n = -22 + 22. Let v be (1 + 18)*(n/(-4) + 1). What is h in -6*h**4 - 15*h**3 + v*h + h**4 + 6*h - 5*h = 0?
-2, 0, 1
Let s(c) = -c**3 - 12*c**2 - 12*c - 6. Let p be (0 + -2)*(10/4 + 3). Let x be s(p). Suppose 1067 - 5*d**3 - 1067 - x*d**2 = 0. What is d?
-1, 0
Suppose 1/4*o**2 - 637/2 + 1273/4*o = 0. What is o?
-1274, 1
Let u(s) = 196*s**3 - 10210*s**2 + 7264*s + 2920. Let x(b) = -945*b**3 + 51048*b**2 - 36321*b - 14598. Let v(q) = 24*u(q) + 5*x(q). Factor v(a).
-3*(a - 485)*(a - 1)*(7*a + 2)
Let q(p) be the first derivative of 2*p**3/15 - 68*p**2/5 + 78*p + 7004. Determine j so that q(j) = 0.
3, 65
Let d(b) be the second derivative of b**5/20 - b**3/6 + 919*b. Factor d(f).
f*(f - 1)*(f + 1)
Factor -4/7*c**3 - 80/7 - 44/7*c + 32/7*c**2.
-4*(c - 5)*(c - 4)*(c + 1)/7
Let d(c) be the first derivative of 1/10*c**5 - 1/4*c**2 - 3/8*c**4 + 1/2*c**3 + 0*c - 221. Solve d(t) = 0 for t.
0, 1
Let s = 10 - -52. Let i = -58 + s. Let -11*h**3 - 3*h**3 - 2*h**4 + 18*h**2 - 12*h + 5*h**i + 3 + 2*h**3 = 0. What is h?
1
Let u(f) be the second derivative of -f**6/20 + 3*f**5/2 + 367*f**4/8 + 287*f**3/2 - 720*f**2 + 4*f - 342. Determine z, given that u(z) = 0.
-10, -3, 1, 32
What is k in -105*k + 284*k**3 + 40 - 425*k - 235*k - 1144*k**2 - 830*k + 207*k = 0?
-1, 2/71, 5
Let n(v) = -13*v**3 + 74*v**2 - 130*v - 45. Let w(c) = -c**3 - c**2 + 2*c + 1. Let h(j) = n(j) - 3*w(j). Suppose h(r) = 0. What is r?
-3/10, 4
Let i(h) be the second derivative of 0*h**2 - 1/80*h**5 + 0 - 1/48*h**4 + 52*h + 0*h**3. Find d, given that i(d) = 0.
-1, 0
Let g(b) be the third derivative of -b**8/20160 + b**6/720 + b**5/30 + 3*b**3/2 - 78*b**2. Let y(j) be the third derivative of g(j). Factor y(v).
-(v - 1)*(v + 1)
Let u(s) be the first derivative of s**7/21 + 4*s**6/15 + 3*s**5/10 - 2*s**4/3 - 4*s**3/3 - 55*s + 14. Let b(f) be the first derivative of u(f). Factor b(m).
2*m*(m - 1)*(m + 1)*(m + 2)**2
Let c = 635 - 631. Factor -j**4 - 5216*j + j**3 + 5215*j - 3*j**2 - c*j**3.
-j*(j + 1)**3
Let n = 106129 - 106127. Determine i, given that 0 - 2/11*i**n - 28/11*i = 0.
-14, 0
Suppose -7*s - 296 = -926. Let w = -86 + s. Find g, given that -88/13*g**2 + 0 - 16/13*g - 140/13*g**3 - 50/13*g**w = 0.
-2, -2/5, 0
Factor -6/11*c**2 + 2/11*c**3 - 2/11*c + 6/11.
2*(c - 3)*(c - 1)*(c + 1)/11
Let n(w) = -w**3 - 11*w**2 + 2. Let l be n(-11). Find i such that 310*i**3 - 314*i**3 - l*i**2 + 8 + 17*i**2 - 20*i + i**2 = 0.
1, 2
Let a(o) = -3*o - 22. Let k be 12/(-42) - (-32)/14 - 10. Let c be a(k). Find d such that 4/11*d**5 + 0 + 2/11*d**4 - 2/11*d**c + 0*d - 4/11*d**3 = 0.
-1, -1/2, 0, 1
Let 322/3 + 104*t**3 + 1972/3*t**2 + 664*t + 10/3*t**4 = 0. What is t?
-23, -7, -1, -1/5
Let m = 1308 - 1306. Let r(x) = 2*x + 0*x**3 + 8 - 4*x**2 - x**3 - x**3. Let y(w) = -2*w**3 - 3*w**2 + 3*w + 8. Let p(a) = m*y(a) - 3*r(a). Factor p(o).
2*(o - 1)*(o + 2)**2
Let z(d) be the second derivative of 22/3*d**3 - 20*d**2 - 80*d + 8/3*d**4 + 0. Solve z(v) = 0 for v.
-2, 5/8
Let l(o) be the second derivative of 16*o + 69/10*o**5 + 0*o**2 - 55/6*o**4 + 4/15*o**6 - 6*o**3 - 3. Factor l(x).
2*x*(x - 1)*(x + 18)*(4*x + 1)
Suppose -14*t**3 - 264/7 + 306*t**2 + 320/7*t = 0. Calculate t.
-3/7, 2/7, 22
Let q be 8 + -11 - (-1 + 13235/(-45)). Let p = q + -292. Determine l, given that 5/9*l**2 + 2/9*l + p*l**4 + 4/9*l**3 + 0 = 0.
-2, -1, 0
Find a such that 368/7*a**2 - 2/7*a**4 + 0 + 88*a + 26/7*a**3 = 0.
-7, -2, 0, 22
Let a be -1 - (4 + (-20)/2). Suppose -a*t + p + 25 = -3*t, -p - 45 = -4*t. Solve -2*i**4 + 108*i - t*i**3 - 108*i - 6*i**2 + 2*i**5 = 0 for i.
-1, 0, 3
Let s(g) = -9*g - 21. Let i(d) = 5*d + 11. Let k(z) = 11*i(z) + 6*s(z). Let r be k(8). Suppose -2 - 49*f**3 - 5*f**2 + 44*f**r + 2 = 0. Calculate f.
-1, 0
Let t(y) = -16*y**2 + 207*y - 212. Let x(s) = 11*s**2 - 138*s + 142. Suppose -3*b = 6*m - 5*m + 2, 0 = 2*m + 4*b - 2. Let u(a) = m*x(a) + 5*t(a). Factor u(v).
-3*(v - 22)*(v - 1)
Let k = 922871 - 2768545/3. What is l in -2/3*l**3 + k - 12*l**2 - 10*l = 0?
-17, -2, 1
Let m = 3/79166 + 10133233/395830. Let m - 32/5*w - 8/5*w**2 + 2/5*w**3 = 0. What is w?
-4, 4
Let x(z) be the second derivative of -28 + z + 0*z**2 + 1/36*z**3 + 1/72*z**4. Determine y so that x(y) = 0.
-1, 0
Let m be (30/42)/(80/224). Let w(c) be the second derivative of 0*c**3 + 1/8*c**4 + 11*c + 0*c**m + 0. Solve w(n) = 0 for n.
0
Let s(v) = -v**3 + v**2 - v - 2. Let l(c) = -3*c**3 + 3*c + 2. Let p(q) = q**3 + 8*q**2 + 8*q + 4. Let g be p(-7). Let w(b) = g*l(b) + 6*s(b). Factor w(k).
3*(k - 2)*(k + 1)*(k + 3)
Let z(w) be the first derivative of -w**7/1050 - w**6/75 + w**5/10 - 4*w**4/15 - 2*w**3/3 + 69. Let d(f) be the third derivative of z(f). Factor d(s).
-4*(s - 1)**2*(s + 8)/5
Let a = -145869 - -145932. Determine t so that -a*t + 39/5 - 48/5*t**3 + 648/5*t**2 = 0.
1/4, 13
Let u(s) be the first derivative of -2*s**5/25 - 12*s**4/5 - 32*s**3/3 + 312. Factor u(g).
-2*g**2*(g + 4)*(g + 20)/5
Let r(a) be the third derivative of a**5/15 - 25*a**4/2 + 292*a**3/3 - 1226*a**2. Factor r(c).
4*(c - 73)*(c - 2)
Find x, given that -375*x**2 - 408/5 - 2658/5*x + 2283/5*x**4 + 525*x**3 + 33/5*x**5 = 0.
-68, -1, -2/11, 1
Let i(j) be the first derivative of j**4/30 - 1352*j**3/45 + 114244*j**2/15 + 6486. Factor i(w).
2*w*(w - 338)**2/15
Let r(j) be the third derivative of j**7/630 + 11*j**6/360 - 89*j**5/90 + 80*j**4/9 - 112*j**3/3 + 95*j**2 + 5*j. Factor r(u).
(u - 4)**2*(u - 2)*(u + 21)/3
Factor -27 + 35*o + 4/3*o**2.
(o + 27)*(4*o - 3)/3
Let t(o) = -4*o**3 + 20*o**2 + 97*o - 497. Let r(c) = -20*c**3 + 100*c**2 + 484*c - 2484. Suppose 20 = 3*y - 28. Let w(n) = y*t(n) - 3*r(n). Factor w(z).
-4*(z - 5)**2*(z + 5)
Let g(b) be the third derivative of 1/12*b**5 + 0*b + 35/24*b**4 - 25 - b**2 - 15*b**3. Factor g(t).
5*(t - 2)*(t + 9)
Let x(u) be the first derivative of -u**7/420 + u**6/36 - u**5/10 + 2*u**3/3 - 44*u + 15. Let j(w) be the third derivative of x(w). Factor j(l).
-2*l*(l - 3)*(l - 2)
Solve 0 + 50/7*p**4 - 11890/7*p**3 - 1896/7*p + 9488/7*p**2 = 0 for p.
0, 2/5, 237
Let j(n) = 117*n - 4676. Let q be j(40). Let l(m) be the second derivative of -24/11*m**2 - 1/33*m**q - 40*m + 0 - 1/110*m**5 + 20/33*m**3. Factor l(i).
-2*(i - 2)**2*(i + 6)/11
Let n be (-39)/104*5/(-9). Let g(p) be the third derivative of 1/24*p**6 + 0*p + 1/6*p**5 - 9*p**2 + 0*p**3 + n*p**4 + 0. Factor g(m).
5*m*(m + 1)**2
Let y(l) = -80*l**2 - 163865*l + 50781355. Let q(b) = -3*b**2 - 6302*b + 1953129. Let u(m) = -105*q(m) + 4*y(m). Determine s so that u(s) = 0.
625
Suppose -152 - 6*g + 238*g**2 - 28 - 111*g**