 24018*y**2.
3*(2*y - 1)*(12*y - 73)
Let x(f) = -7*f**2 + 79*f + 330. Let j(w) = 111*w**2 - 1269*w - 5280. Let s(h) = 2*j(h) + 33*x(h). Let s(a) = 0. What is a?
-10/3, 11
Factor -6*k - 80/13 + 2/13*k**2.
2*(k - 40)*(k + 1)/13
Let g(s) be the third derivative of s**7/1365 + 3*s**6/130 + 113*s**5/390 + 23*s**4/13 + 60*s**3/13 - 333*s**2. Suppose g(k) = 0. What is k?
-6, -5, -1
Let g(u) = 7*u**3 + 4*u**2 + 55*u - 60. Let j(v) = 4*v**3 + 4*v**2 + 56*v - 60. Let b(s) = -2*g(s) + 3*j(s). Factor b(i).
-2*(i - 6)*(i - 1)*(i + 5)
Let k(i) be the first derivative of -32*i**3 - 99*i**2/2 + 3*i - 169. Let c(a) = 2. Let m(b) = -3*c(b) + k(b). Factor m(n).
-3*(n + 1)*(32*n + 1)
Determine z, given that 333/2*z**3 + 0 + 81/2*z**4 + 98*z + 224*z**2 = 0.
-14/9, -1, 0
Let i(z) be the third derivative of z**6/40 + 7*z**5/10 + 49*z**4/8 + 18*z**3 + 450*z**2. Find t such that i(t) = 0.
-9, -4, -1
Let u be -10 - -8 - (378/(-168) + 21/(-60)). Solve -6*w + 0 + 6*w**3 + u*w**4 - 3/5*w**2 = 0 for w.
-10, -1, 0, 1
Let c(x) = -3*x**2 + 106*x - 864. Let b(q) = 25*q**2 - 859*q + 6912. Let d(f) = 2*b(f) + 17*c(f). Determine s so that d(s) = 0.
12, 72
Let b be (-2)/(8/150)*8*(-5)/40. Let y(k) be the second derivative of -5/2*k**3 + 1/16*k**4 + 0 + 26*k + b*k**2. Factor y(p).
3*(p - 10)**2/4
Let i(v) be the second derivative of v**4/9 + 26*v**3/9 - 136*v**2/3 - 89*v - 5. Suppose i(j) = 0. Calculate j.
-17, 4
Let d(c) = -14 + 16 - 680*c - 10 - 83*c**2 - 25*c**2. Let u(w) = w**3 - 217*w**2 - 1361*w - 18. Let k(j) = -9*d(j) + 4*u(j). Suppose k(y) = 0. What is y?
-13, 0
Let l(r) be the third derivative of r**5/120 + 3*r**4 - 145*r**3/12 + 43*r**2 - 1. Factor l(q).
(q - 1)*(q + 145)/2
Let r(g) be the first derivative of -g**7/63 - g**6/45 + 84*g - 56. Let s(c) be the first derivative of r(c). Let s(n) = 0. Calculate n.
-1, 0
Let p(n) = -2*n**5 + 2*n**4 - n**3 + n + 1. Let i(o) = -5*o**5 + 94*o**4 + 2086*o**3 + 6138*o**2 - 18897*o + 10587. Let k(a) = i(a) - 3*p(a). Factor k(g).
(g - 1)**2*(g + 6)*(g + 42)**2
Let k be (-14)/(-6) + 14/21. Let t = -37006/9 - -4112. Factor -2/9*b**4 - t*b**k + 2/9*b + 0 + 2/9*b**2.
-2*b*(b - 1)*(b + 1)**2/9
Let y(c) be the first derivative of 0*c**2 - 16/3*c**3 + 0*c + 1/5*c**5 + 102 - 15/4*c**4. Factor y(o).
o**2*(o - 16)*(o + 1)
Let r(j) be the first derivative of -j**3/18 - 188*j**2/3 + 6382. Determine m, given that r(m) = 0.
-752, 0
Let h(s) be the second derivative of s**5/4 + 75*s**4/2 - 935*s**3/6 - 690*s**2 + 14787*s. Find b, given that h(b) = 0.
-92, -1, 3
Determine p so that -32*p - 1276/5 - 4/5*p**2 = 0.
-29, -11
Suppose -2108 = 20*z - 2168. Factor -3/4*x**z - 27/4*x + 9/2*x**2 + 3.
-3*(x - 4)*(x - 1)**2/4
Suppose -10*x = -8 + 8. Let b = -811/99 + 95/11. Solve x + 2/3*y - 2/9*y**3 + b*y**2 = 0.
-1, 0, 3
Let j(r) = 9*r + 20. Let d be j(-8). Let o be (-12)/78 + (-7340)/d. Suppose 20*z**2 - 12*z**3 + o*z - 16 - 71*z - 54*z = 0. Calculate z.
-1, 2/3, 2
Let c(l) = 2*l**3 + 96*l**2 + 85*l - 421. Let d be c(-47). Determine g so that -8 - 14/3*g - 2/3*g**d = 0.
-4, -3
Let n(o) be the first derivative of -2*o**3 + 4*o + 21. Let u(l) = 2*l**2 + l. Let t(b) = -2*n(b) - 4*u(b). Factor t(c).
4*(c - 2)*(c + 1)
Suppose 456*z**4 - 7*z**3 - 2*z**3 + 12*z**2 - 458*z**4 + 16*z + 3*z**3 = 0. What is z?
-4, -1, 0, 2
Let q(u) = -u**2 + 16*u - 48. Let x be q(12). Suppose x = r + r - 4. Factor -19*f**2 - 6*f + 6*f**r + 6*f**2 + 5*f**2.
-2*f*(f + 3)
Let o(k) be the second derivative of -1/42*k**7 + 3/10*k**6 + 17*k - 8*k**3 - 8/5*k**5 + 8*k**2 + 0 + 14/3*k**4. Let o(x) = 0. Calculate x.
1, 2
Let o(t) = t**2 + 11*t + 34. Let f be o(-6). Suppose -4*s + n = -85, -20 = -0*n + f*n. Let -25*k - 3*k**2 - s*k + k**3 + 47*k + 0*k**2 = 0. What is k?
0, 1, 2
Let y = -26893 + 80680/3. Let p(l) be the second derivative of -1/3*l**3 - 2*l**2 + 1/10*l**5 + y*l**4 + 0 + 6*l. Factor p(u).
2*(u - 1)*(u + 1)*(u + 2)
Let i(b) = -2*b**2 + 38*b - 90. Let t be i(15). Let d be -3 + 114/30 + 56/t. Suppose -6 + 4/3*p**2 - 8*p - 2/3*p**4 + d*p**3 = 0. Calculate p.
-1, 3
Let r = -161/5 - -1147/35. Let -8/7 + 4/7*o**2 - r*o = 0. What is o?
-1, 2
Let g(b) be the second derivative of b**9/756 + b**8/420 - b**7/210 - b**6/90 + 5*b**3/3 - 42*b. Let h(f) be the second derivative of g(f). Solve h(t) = 0.
-1, 0, 1
Suppose -2*m**4 - m**4 - 583*m**2 + 1600*m**2 - 620*m**3 - 394*m**3 + 0*m**4 = 0. What is m?
-339, 0, 1
Let j be (14400/(-48))/50*(4 - (-55)/(-12)). Determine x, given that -9/2*x - 1 - j*x**2 = 0.
-1, -2/7
Let w(x) be the second derivative of 3*x**5/25 + 97*x**4/60 + 94*x**3/15 + 3*x**2/2 + 2*x + 711. Suppose w(h) = 0. Calculate h.
-5, -3, -1/12
Let u(a) be the third derivative of -226981*a**7/1050 + 264191*a**6/200 - 11773*a**5/10 + 2795*a**4/6 - 100*a**3 + 2*a**2 - 1026. Factor u(n).
-(n - 3)*(61*n - 10)**3/5
Let s(j) = -73*j**3 - 918*j**2 + 18*j + 896. Let r(u) = -20*u**3 - 230*u**2 + 5*u + 224. Let l(q) = 22*r(q) - 6*s(q). Determine g, given that l(g) = 0.
-1, 1, 224
Let k be (-10)/6*((-74)/(-111))/(8/(-36)). Let -2*h**2 - k*h + 3/4*h**3 + 4 = 0. What is h?
-2, 2/3, 4
Let t(k) = 13*k**3 - 59*k**2 + 288*k - 324. Let b(i) = 2*i**3 + 2*i**2. Let x(s) = 5*b(s) - t(s). What is v in x(v) = 0?
2, 3, 18
Let a be 36 + -39 - ((0 - -3) + -11). Determine q so that -14*q**4 - 33*q**2 - 7*q**5 - 17*q**4 + 0*q**4 + 4*q**4 + 4*q**a + 63*q**3 = 0.
-11, 0, 1
Let w(f) be the third derivative of -f**6/160 + 23*f**5/40 - 349*f**4/32 - 99*f**3/2 + 379*f**2. Factor w(c).
-3*(c - 36)*(c - 11)*(c + 1)/4
Factor 695*z**2 + 698*z + 4 + 347/2*z**3.
(z + 2)**2*(347*z + 2)/2
Let i(o) be the third derivative of o**8/1344 + o**7/168 - o**5/6 - o**4/12 + 4*o**2. Let d(p) be the second derivative of i(p). Factor d(h).
5*(h - 1)*(h + 2)**2
Suppose p + 5*d = 35, 0 = -5*p + p - 2*d + 140. Let a be p/(-49)*((-12)/(-10) - 3). Factor -2/7*r**2 + a + 1/7*r**4 + 4/7*r**3 - 12/7*r.
(r - 1)**2*(r + 3)**2/7
Let x(v) be the second derivative of 1/40*v**4 + 32*v + 1/300*v**6 + 0*v**2 - 1/60*v**3 + 0 - 3/200*v**5. Factor x(k).
k*(k - 1)**3/10
Let f(b) be the third derivative of -2*b**7/525 + 12*b**6/25 + 148*b**5/75 + 147*b**2. Determine n, given that f(n) = 0.
-2, 0, 74
Suppose 2425*a = -1348*a - 98*a + 11613. Factor 0*r + 0 + 2/5*r**5 + 2/5*r**4 - 2/5*r**a - 2/5*r**2.
2*r**2*(r - 1)*(r + 1)**2/5
Let y be (56/2)/4 - 4. Suppose -5*n + 24 = -4*q, -12 + 2 = -y*n - 2*q. Factor -2 - 7*x**4 + 61*x + 29*x**3 - 46*x - 2*x**n - 33*x**2.
-(x - 1)**3*(9*x - 2)
Let z(y) be the third derivative of -y**6/540 - 7*y**5/54 - 7*y**2 + 7*y - 2. Factor z(s).
-2*s**2*(s + 35)/9
Let w be 15 - (-1 + -4 + 8). Suppose -2*o + w + 49 = -i, 4*o = i + 121. Determine z so that 22*z**4 - 13*z**5 + 3*z**5 - o*z**4 = 0.
-4/5, 0
Suppose 293*j - 54*j + 151*j = 32*j. Let 0 - 3/4*n**2 + j*n = 0. Calculate n.
0
Factor 72/17*l**3 + 1408/17*l + 0 + 2/17*l**4 - 672/17*l**2.
2*l*(l - 4)**2*(l + 44)/17
Find v such that 2084*v**3 + 56*v**5 - 4198*v**3 - 16*v + 2074*v**3 + 140*v**2 - 16 - 124*v**4 = 0.
-1, -2/7, 1/2, 1, 2
Suppose -24 = -3*v - 3*v. Factor 0*z**5 - 3*z**5 + 15*z + 36*z**3 + 37*z**2 + 24*z**4 + 5*z**2 - 18*z**v.
-3*z*(z - 5)*(z + 1)**3
Let s be (2607/(-14))/(12 + 1023/(-88)). Let f = s - -500. Suppose -6/7*p**4 - 18/7*p**2 + f*p**3 - 24/7*p + 24/7 = 0. Calculate p.
-1, 1, 2
Suppose 3*i - 4*i + 2*m = 6, -i - 5*m = -22. Suppose -x - 8 + 7 = -u, -i*u + 4*x + 4 = 0. Factor -1/5*d**4 - 1/5*d**3 + 1/5*d + u + 1/5*d**2.
-d*(d - 1)*(d + 1)**2/5
Let l(o) be the third derivative of o**8/336 - 82*o**7/315 + 16*o**6/3 + 4877*o**5/90 - 6641*o**4/24 + 4205*o**3/9 + o**2 - 2597*o. Solve l(t) = 0 for t.
-5, 2/3, 1, 29
Let x(j) = 5*j**5 + 5*j**4 - 7*j**3 + 3*j**2 + 2*j. Let k(y) = 4*y**5 + 4*y**4 - 6*y**3 + 2*y**2 + 2*y. Let s = 12 - 9. Let f(c) = s*x(c) - 4*k(c). Factor f(m).
-m*(m - 1)**2*(m + 1)*(m + 2)
Let c(l) = 23*l**3 + 207*l**2 + 2*l + 20. Let p be c(-9). Suppose 2/5*n**3 + 2*n**p + 8/5 + 16/5*n = 0. Calculate n.
-2, -1
Let b(l) = 17*l**3 + 9*l**2 - l + 24. Let t be b(-6). Let g = t - -19957/6. Solve 14*o + g - 2*o**3 + 11/3*o**2 + 1/6*o**4 = 0 for o.
-1, 7
Let s(n) be the second derivative of -26/3*n**3 + 1/5*n**5 - 20*n**2 + 0 - 134*n - 2/3*n**4. What is h in s(h) = 0?
-2, -1, 5
Let l(i) be the first derivative of -9*i**4/2 + 5830*i**3 + 11672*i**2 + 7784*i + 11565. 