*3 + l**2 + 151. Let h(w) be the third derivative of z(w). Factor h(j).
-(j - 7)*(j + 3)/2
Let b(l) = -38*l**4 + 184*l**3 + 216*l**2 - 930*l + 526. Let m(s) = 8*s**4 - 37*s**3 - 43*s**2 + 186*s - 105. Let r(q) = 6*b(q) + 28*m(q). Factor r(o).
-4*(o - 18)*(o - 1)**2*(o + 3)
Let f(i) be the third derivative of i**8/1120 + i**7/36 - 2*i**6/45 - 89*i**5/60 - 103*i**2. Let y(q) be the third derivative of f(q). Solve y(s) = 0.
-8, 2/9
Factor 55*g**3 - 8*g**4 - 9*g**4 + 23*g**4 + 77*g**3 - 1575*g**2 + 2646*g - 9*g**4.
-3*g*(g - 21)**2*(g - 2)
Let f = -2/718849 + -2661178984/5031943. Let w = f - -529. Determine d so that w*d + 1/7*d**5 + 0*d**2 + 0 + 0*d**4 - 2/7*d**3 = 0.
-1, 0, 1
Let y(u) be the first derivative of -5*u**4/4 + 35*u**3/3 + 365*u**2/2 + 325*u - 893. Factor y(o).
-5*(o - 13)*(o + 1)*(o + 5)
Factor 3703/3 + 56*n**2 - 38/3*n**3 + 3910/3*n + 1/3*n**4.
(n - 23)**2*(n + 1)*(n + 7)/3
Let d = -52598/5 - -10525. Let x = 43/7 + -131/35. Factor d*m**3 + x + 72/5*m + 87/5*m**2.
3*(m + 1)*(m + 2)*(9*m + 2)/5
Let r(n) = -7*n**2 + 15*n - 40. Let q(v) = -v**2 - 5*v. Let j(i) = 5*q(i) - r(i). Let w be j(19). Factor -10/3*g + 8/3*g**w + 0 + 2/3*g**3.
2*g*(g - 1)*(g + 5)/3
Factor 1430800/3*g - 1/6*g**4 - 2744000/3 + 211/3*g**3 - 9940*g**2.
-(g - 140)**3*(g - 2)/6
Let j(a) = -18*a**5 + 33*a**4 + 114*a**3 - 140*a**2. Let b(t) = -5*t**5 + 8*t**4 + 29*t**3 - 35*t**2. Let u(v) = 22*b(v) - 6*j(v). Suppose u(q) = 0. What is q?
-7, -5, 0, 1
Factor 887*s**4 + 1024 - 1024 - 902*s**4 + 5*s**3.
-5*s**3*(3*s - 1)
Let i(q) = 4*q**2 - 6345*q + 5037149. Let t(d) = 2*d**2 + 3*d + 11. Let g(m) = -i(m) + t(m). Determine j so that g(j) = 0.
1587
Let f be (-18)/(-288) - 204/(-64). Determine h so that -1/4*h**2 - 11/2 + f*h = 0.
2, 11
Suppose -4*z = -67 - 13. Suppose 12 = 4*x - z. Determine q so that -x*q**4 - 4*q**2 + 2*q**2 + 2*q**4 + 4*q**2 - 4*q**3 = 0.
-1, 0, 1/3
Let z(b) = -5*b**2 + 10*b - 27. Let l(t) = -4*t**2 + 9*t - 26. Let j(o) = 6*l(o) - 5*z(o). Factor j(u).
(u - 3)*(u + 7)
Let j(f) be the third derivative of -35/12*f**3 + 5/24*f**5 + 5/24*f**4 + 0 - 18*f**2 + f. Factor j(m).
5*(m - 1)*(5*m + 7)/2
Let m(y) be the first derivative of -y**3/6 - 15*y**2/4 + 38*y - 1417. Factor m(q).
-(q - 4)*(q + 19)/2
Let c be 15/(2 + -5)*-1. Suppose 8*x + 264*x**5 + 4*x**4 - 14*x**2 - 265*x**c + 7*x**3 - 4*x**3 = 0. Calculate x.
-2, 0, 1, 4
Let g(f) = -103 + 97*f**2 - 7*f**3 - 154 - 3*f**3 - 143*f. Let m(z) = 5*z**3 - 49*z**2 + 71*z + 129. Let a(n) = 4*g(n) + 7*m(n). Find b, given that a(b) = 0.
-1, 5
Let v(c) be the first derivative of -c**6/45 + 76*c**5/75 - 107*c**4/10 - 304*c**3/9 - 80*c**2/3 - 161. Solve v(n) = 0 for n.
-1, 0, 20
Let z(y) be the third derivative of -y**8/336 - 4*y**7/105 + 3*y**6/40 - 1292*y**2. What is f in z(f) = 0?
-9, 0, 1
Let v(u) = 37*u. Let y be v(1). Let r = y + -33. Suppose r*k - 13*k**4 + 84*k**3 + 4*k + 18*k**4 - 44*k**2 - 73*k**4 + 20*k**5 = 0. Calculate k.
0, 2/5, 1
Let d be 5*(3 + (-42)/(-35)). Let 55*n**2 + 6*n - 15*n**4 - 40*n**2 - 34*n**3 + 7*n**3 + d*n**5 = 0. Calculate n.
-1, -2/7, 0, 1
Let c(q) be the third derivative of 2*q**7/105 + q**6/30 - q**5/3 + q**4/2 - 3399*q**2. Find x such that c(x) = 0.
-3, 0, 1
Let t(c) be the first derivative of 35 + 0*c + 4*c**3 + 0*c**4 - 4/5*c**5 - 4*c**2. What is k in t(k) = 0?
-2, 0, 1
Suppose -12*s = -9*s - 18. Suppose -2*w = 2*r - 16, 3*w = r - s*r + 34. Factor -107*n - 105*n + 20 + r*n**2 + 192*n.
5*(n - 2)**2
Let u(q) be the second derivative of -q**5/5 - 231*q**4/4 - 1541*q**3/6 - 171*q**2 + 1044*q. Suppose u(d) = 0. Calculate d.
-171, -2, -1/4
Let h(d) be the first derivative of 2*d**5/25 + 9*d**4/10 + 2*d**3 - 5*d**2 + 2315. Factor h(b).
2*b*(b - 1)*(b + 5)**2/5
Suppose 3*y - 40 = 7*w - 5*w, -4*y + 2*w + 52 = 0. Factor 30 + 49*p - 14*p - y*p**2 - 180*p + 27*p**2 + 30*p**2.
5*(p - 3)*(9*p - 2)
Suppose 29*c - 71*c + 110 = -20*c. Let l(d) be the first derivative of -13 + 2/13*d**2 + 49/13*d**4 + 138/65*d**c + 62/39*d**3 + 0*d. Solve l(r) = 0.
-1, -1/3, -2/23, 0
Let p(l) be the third derivative of l**5/150 - 11*l**4/12 - 434*l**3/15 + l**2 - 74*l - 10. Factor p(i).
2*(i - 62)*(i + 7)/5
Let x = 9 + 0. Suppose 8*j + 2 = x*j. Solve 3*n**2 - 3*n**5 + 2*n**3 - 9*n**4 - 11*n**3 - j*n**2 - 4*n**2 = 0 for n.
-1, 0
Suppose 88 = 10*c + 18. Suppose -c*d + 110 - 26 = 0. Let 12*r - 32*r**3 - 24*r**2 + 8 + r + 2*r + d*r**5 + 5*r + 16*r**4 = 0. What is r?
-2, -1, -1/3, 1
Suppose -i + 6 = d, i + 10 = 3*d - 4*i. Let d*g**2 + 99*g**3 - 205*g**3 + 101*g**3 = 0. What is g?
0, 1
Factor b**4 - 260*b**2 + 384*b**3 + 188*b**2 - 5*b**4 - 308*b**2.
-4*b**2*(b - 95)*(b - 1)
Suppose 9 = 3*z, -2*z = -5*j - 3*z - 1082. Let q be -7 + j/(-14) + -8. Factor -1/2*x**3 + 1/2*x - 1/2 + q*x**2.
-(x - 1)**2*(x + 1)/2
Let v(o) be the second derivative of 80/3*o**3 + 40*o + 0 - 800*o**2 - 1/3*o**4. Factor v(g).
-4*(g - 20)**2
Let s = -66048 + 107607. Factor -s*h + 163*h**3 - 232*h**3 - 195*h**3 - 1033*h + 2588*h**2 + 4*h**4 + 3220*h**2.
4*h*(h - 22)**3
Let l(o) be the first derivative of -5/6*o**6 + 10*o - 5*o**4 + 25/2*o**2 + 10/3*o**3 + 64 - 4*o**5. Solve l(p) = 0.
-2, -1, 1
Solve 54*j - 1548/5 - 2/5*j**2 = 0.
6, 129
Let z(g) = g**3 + 3*g**2 + g - 2. Let x(h) = -35*h**3 + 1625*h**2 - 14340*h + 2820. Let y(l) = x(l) + 10*z(l). Suppose y(w) = 0. Calculate w.
1/5, 10, 56
Let k(j) be the third derivative of 0*j**3 + 0*j + 1/30*j**5 + 35*j**2 - 19/945*j**7 - 1/756*j**8 - 2/135*j**6 + 3 + 0*j**4. Find t, given that k(t) = 0.
-9, -1, 0, 1/2
Suppose -q - 4 = -3*x, q = -15 + 11. Let l(i) be the second derivative of -4/27*i**4 - 1/15*i**5 + 8/27*i**3 - 9*i + 0*i**2 + x. Factor l(k).
-4*k*(k + 2)*(3*k - 2)/9
Let p(y) be the first derivative of y**8/420 - y**7/42 + 2*y**6/45 - 5*y**3 - y + 29. Let n(w) be the third derivative of p(w). Factor n(f).
4*f**2*(f - 4)*(f - 1)
Factor -6*f**4 + 3*f**4 + 522*f**2 + 222*f**3 - 88*f**2 - 924*f + 271*f**2.
-3*f*(f - 77)*(f - 1)*(f + 4)
Let h(w) be the second derivative of -w**6/120 + w**5/40 + 3*w**4/16 - 3*w**3/4 - 85*w + 2. Let h(m) = 0. What is m?
-3, 0, 2, 3
Let i(m) be the first derivative of -1/3*m**4 - 8/3*m**3 - 19 - 8*m**2 - 14*m. Let j(g) be the first derivative of i(g). Factor j(k).
-4*(k + 2)**2
Let l(n) = -19*n**2 + 205*n - 564. Let m(o) = 27*o**2 - 307*o + 846. Let q(k) = -7*l(k) - 5*m(k). What is x in q(x) = 0?
3, 47
Let m(h) be the third derivative of -h**6/300 + 7*h**5/150 + 113*h**4/60 + 7*h**3 + 2065*h**2 - 1. Factor m(p).
-2*(p - 15)*(p + 1)*(p + 7)/5
Suppose -12 = -8*j + 28. Factor 52 - 36 + 10*o - 5*o**4 - 15*o**3 + 5*o**2 - 16 + j*o**5.
5*o*(o - 2)*(o - 1)*(o + 1)**2
Let o(v) be the first derivative of 3*v**4/14 + 8*v**3/7 - 15*v**2/7 - 5273. Solve o(d) = 0 for d.
-5, 0, 1
Let t(r) be the third derivative of r**6/420 - 2*r**5/35 - r**4/84 + 44*r**3/7 + 190*r**2 + 4*r. Factor t(i).
2*(i - 11)*(i - 4)*(i + 3)/7
Let t be 327/(-21) + -89 + 107. Factor -t*x + 16/7 + 1/7*x**2.
(x - 16)*(x - 1)/7
Factor 98/13*c**2 - 2296/13*c + 13448/13.
2*(7*c - 82)**2/13
Let n(y) be the first derivative of 3*y**5/5 + 123*y**4/4 + 305*y**3 - 7107*y**2/2 + 9522*y + 3001. Determine p, given that n(p) = 0.
-23, 2, 3
Let i = -283529/5 - -56710. Solve -3/5*b - 42/5*b**3 + 24/5*b**4 + 0 + i*b**2 = 0.
0, 1/4, 1/2, 1
Let s be ((-57)/(-18) - 3)/((-60)/(-210)). Let a(n) be the second derivative of -s*n**4 - 16*n - 5/2*n**3 - 9/2*n**2 + 0 - 1/20*n**5. Factor a(j).
-(j + 1)*(j + 3)**2
Let w(i) be the first derivative of -i**8/2800 - i**7/280 - i**6/150 - 17*i**3/3 + 2*i + 224. Let y(j) be the third derivative of w(j). Factor y(a).
-3*a**2*(a + 1)*(a + 4)/5
Let v be (-252)/(-39) - 4 - ((-9)/(-13))/((-687)/(-458)). Factor -32/5*q + 2/5*q**3 - 4/5*q**v + 64/5.
2*(q - 4)*(q - 2)*(q + 4)/5
Let d(h) be the first derivative of 2/9*h**3 + 10/3*h**2 + 8*h + 46 - 1/12*h**4. Suppose d(q) = 0. What is q?
-2, 6
Let a(b) be the first derivative of -b**4 - 836*b**3 - 262086*b**2 - 36517316*b + 489. Factor a(w).
-4*(w + 209)**3
Find y, given that -95481/7 - 1/7*y**2 + 618/7*y = 0.
309
Let v be 15 + -5 + 0 - 6. Let s(g) = -g**5 + 5*g**4 + 2. Let p(t) = -t**5 + 6*t**4 + t**3 + 3. Let q(a) = v*p(a) - 6*s(a). Factor q(k).
2*k**3*(k - 2)*(k - 1)
Let k = 608 - 606. Factor -4*o + 81*o**2 + 73*o**k - 31*o - 29*o - 98*o**3 + 8.
-2*(o - 1)*(7*o 