ve of 2*f**5/5 + 43*f**4 + 1822*f**3 + 38012*f**2 + 390728*f + 13925. Factor h(k).
2*(k + 17)**2*(k + 26)**2
Let g be -1*3/((-6)/10). Let k(x) = 2*x**3 + 7*x**2 + 7*x + 4. Let q be k(-2). Find t, given that -4*t**2 - 5*t**4 - g*t**3 - 8*t**3 + 8*t**3 + 14*t**q = 0.
-2, 0, 1
Let f(c) be the first derivative of -c**6/60 + 3*c**4/4 - c**2/2 - 4*c + 181. Let n(a) be the second derivative of f(a). Solve n(g) = 0.
-3, 0, 3
Let q be -5*(-16)/200*(-170)/6. Let p = -161/15 - q. Factor 0*c - p*c**4 - 48/5*c**2 + 0 + 24/5*c**3.
-3*c**2*(c - 4)**2/5
Determine p, given that 42/5*p**2 + 3/5*p**3 + 672 - 1056/5*p = 0.
-28, 4, 10
Let o(w) be the second derivative of -w**2 + 1/12*w**4 + 0 + 1/90*w**5 - 5*w + 0*w**3. Let p(a) be the first derivative of o(a). Factor p(h).
2*h*(h + 3)/3
Let d(o) = o**2 + 12*o - 9. Let q be d(-13). Suppose q*k = -5*s + 15 + 16, -5*k + 2*s = -14. Solve 8/11*w**3 + 2/11*w**k + 10/11*w**2 + 4/11*w + 0 = 0.
-2, -1, 0
Let k = 38005 + -189977/5. Factor -64/5*y**2 + 0*y + 1/5*y**5 + k*y**3 + 0 - 12/5*y**4.
y**2*(y - 4)**3/5
Let c(v) = -v**2 + 22*v + 73. Let f(i) = 4*i**2 - 96*i - 291. Let y(o) = -9*c(o) - 2*f(o). Let u be y(13). Factor -22/5*t**2 + 0 - 2/5*t - 96/5*t**4 - u*t**3.
-2*t*(3*t + 1)*(4*t + 1)**2/5
Let o be (-153 - -166) + (-10)/1. Let d(s) be the first derivative of -16 + 25*s - 5/3*s**o + 10*s**2. Factor d(n).
-5*(n - 5)*(n + 1)
Suppose 71530 - 71497 = 11*n. Suppose 9 = 5*f + 3*d, 3*f + 3 = 4*d - 9. Factor -4/5*w**5 - 1/5*w**2 + 1/5*w - 11/5*w**4 + f - 9/5*w**n.
-w*(w + 1)**3*(4*w - 1)/5
Let m = 56620/3 - 18872. Find k such that -500/3 - 20*k**2 - 100*k - m*k**3 = 0.
-5
Find p such that 101/2*p + 147/2 - 1/2*p**3 - 47/2*p**2 = 0.
-49, -1, 3
Let u be -1 - (2492/272 - 10). Let b = u + 41/17. What is j in -3 + 3/4*j**2 + b*j = 0?
-4, 1
Let c(w) = -57*w**3 + 4*w**2 + 7*w - 2. Let l be c(-2). Let h = l - 454. Suppose 3/2*t**3 - 1/2*t**4 - 3/2*t**h + 0 + 1/2*t = 0. What is t?
0, 1
Let a(l) be the second derivative of l**6/165 + l**5/55 - 8*l**4/33 - 32*l**3/33 - 176*l. Factor a(g).
2*g*(g - 4)*(g + 2)*(g + 4)/11
Let u(s) be the second derivative of -3*s**5/160 + 49*s**4/32 - 3*s**3 + 479*s - 2. Factor u(f).
-3*f*(f - 48)*(f - 1)/8
Let g(f) be the first derivative of 2*f**3/3 - 401*f**2 - 804*f - 13030. Let g(q) = 0. Calculate q.
-1, 402
Factor 1/3*q**2 - 1799/3*q + 1798/3.
(q - 1798)*(q - 1)/3
Factor -50*l + 2500 + 1/4*l**2.
(l - 100)**2/4
Let d(c) be the third derivative of -2*c**7/945 - 61*c**6/1080 - 77*c**5/180 - 107*c**4/108 - 20*c**3/27 + c**2 - 107*c. Find v such that d(v) = 0.
-10, -4, -1, -1/4
Let i(s) be the third derivative of 81*s**8/112 - 981*s**7/49 + 2899*s**6/280 + s**5 - 17*s**4/14 - 454*s**2 - 2. Solve i(b) = 0.
-1/7, 0, 2/9, 17
Let h(n) = -13*n**4 - 423*n**3 + 855*n**2 - 429*n + 10. Let r(y) = 10*y**4 + 424*y**3 - 854*y**2 + 428*y - 8. Let t(o) = -4*h(o) - 5*r(o). Solve t(p) = 0 for p.
0, 1, 212
Let z = 13 - -4. Let o be (4/10)/(z/85). Factor o*r**4 - 3*r**3 + 15*r**3 + 3*r**4 + 3*r**2 + 4*r**4.
3*r**2*(r + 1)*(3*r + 1)
Factor -16*y**2 - 2*y**2 - 3*y**4 + 22*y**2 - y**2 + 0*y**2.
-3*y**2*(y - 1)*(y + 1)
Let h(c) be the first derivative of -c**7/42 + 11*c**6/24 + c**5/12 - 55*c**4/24 + c**2/2 - 83*c - 223. Let w(y) be the second derivative of h(y). Factor w(a).
-5*a*(a - 11)*(a - 1)*(a + 1)
Let m be -72 + 79 - (-6717)/(-960). Let p(k) be the third derivative of -1/32*k**5 - m*k**6 - 9*k**2 + 0*k + 0 - 1/8*k**4 - 1/4*k**3. Factor p(y).
-3*(y + 1)*(y + 2)**2/8
Let d(a) = a**3 - 92*a**2 - 441*a + 44. Let c(v) = v**2 + 3*v - 2. Let g(i) = -66*c(i) - 3*d(i). Find w, given that g(w) = 0.
-5, 0, 75
Factor -5*m**2 - 1840 - 2925344*m + m**2 + 2924868*m.
-4*(m + 4)*(m + 115)
Let s(l) = l**3. Let j(m) = 4*m**3 + 9*m**2 - 81*m - 38. Let r(g) = -j(g) + 3*s(g). Let o(c) be the first derivative of r(c). Factor o(i).
-3*(i - 3)*(i + 9)
Let m be (-1 - (0 - -5)) + 0. Let w(h) = h**2. Let n(a) = -a**3 + 120*a**2 - 5292*a + 74088. Let z(g) = m*w(g) - n(g). What is x in z(x) = 0?
42
Suppose x - 119 = -16*x. Let -151 + 2*f**4 + 61*f + 29*f + 44*f**2 + x + 30*f - 22*f**3 = 0. Calculate f.
-2, 1, 6
Let u(g) be the second derivative of 7*g**4/48 + 8735*g**3/12 - 624*g**2 + 7236*g - 2. Factor u(z).
(z + 2496)*(7*z - 2)/4
Let c(z) = -120*z**3 + 44*z**2 + 76*z + 16. Let r(u) = 43*u**3 - 15*u**2 - 25*u - 6. Let q(a) = 3*c(a) + 8*r(a). Factor q(j).
-4*j*(j + 1)*(4*j - 7)
Let w be ((-6)/10)/((-4)/20) + -3. Suppose 4*y + w*r - 8 = -2*r, -4 = -2*y + 2*r. Factor x + 0*x + 3*x**3 - 27*x**y + 2*x + 21*x**2.
3*x*(x - 1)**2
Let m(g) be the second derivative of -g**4/6 - 31*g**3/3 + 66*g**2 + 6*g - 53. Determine n, given that m(n) = 0.
-33, 2
Let p be (-4)/(-5 + 1) - -2. Suppose 0 = -2*l - 2*o - 6, -p*l + 2*o + 26 = -2*o. Factor -4*m**4 + 4*m**3 + 11*m - 5*m**l + m + 25*m**2.
-4*m*(m - 3)*(m + 1)**2
Let z(c) be the third derivative of -1/360*c**6 - 22/9*c**3 - 92*c**2 + 0 - 23/90*c**5 + 0*c - 89/72*c**4. Find q such that z(q) = 0.
-44, -1
Let r(x) = 5*x + 4*x**2 + 4104 - 8215 + 4107. Let t(i) = -6*i**2 - 7*i + 6. Let a = 4 - -3. Let l(p) = a*r(p) + 5*t(p). Factor l(j).
-2*(j - 1)*(j + 1)
Let d(t) be the first derivative of -t**7/60 + t**6/45 + t**3 - 4*t + 55. Let y(q) be the third derivative of d(q). Factor y(b).
-2*b**2*(7*b - 4)
Let j(u) be the third derivative of 4*u**5/15 + 15*u**4/2 + 22*u**3/3 - 2*u**2 - 25*u + 40. Find s such that j(s) = 0.
-11, -1/4
Let j be (25/(-40))/((-45)/4). Let g(x) be the third derivative of 0 + 0*x + j*x**4 + 1/120*x**6 - 26*x**2 - 13/360*x**5 - 1/36*x**3. Factor g(y).
(y - 1)**2*(6*y - 1)/6
Find o, given that 591 + 7*o**2 + 10*o**2 - 568*o - 21*o**2 - 19 = 0.
-143, 1
Let w(b) = b**5 + 2*b**4 - 1. Let a(t) = 10*t**5 + 650*t**4 + 19830*t**3 - 41600*t**2 + 21125*t - 5. Let p(k) = -a(k) + 5*w(k). Factor p(x).
-5*x*(x - 1)**2*(x + 65)**2
Let g(a) = -109*a**2 + 20074*a + 20160332. Let v(t) = 90*t**2 - 20075*t - 20160330. Let s(n) = -5*g(n) - 6*v(n). Suppose s(y) = 0. What is y?
-2008
Let r(u) be the third derivative of -u**9/52920 + u**8/23520 + 97*u**4/24 - 99*u**2. Let i(j) be the second derivative of r(j). Factor i(y).
-2*y**3*(y - 1)/7
Let g(c) be the first derivative of c**5/20 - 103*c**4/8 + 51*c**3 - 305*c**2/4 + 203*c/4 + 4578. Suppose g(i) = 0. What is i?
1, 203
Let p(u) be the third derivative of -1/336*u**8 + 0*u + 4/3*u**3 - 11*u**2 - 1/210*u**7 - 7/60*u**5 + 11/120*u**6 - 5/12*u**4 - 2. Let p(r) = 0. What is r?
-4, -1, 1, 2
Let v(l) = -147*l**2 - 46596*l + 953. Let d be v(-317). Factor 2/9*w - 1/3 + 1/9*w**d.
(w - 1)*(w + 3)/9
Suppose 10 = 2*z - 4*m, 5*z - 43 = -2*m + 6*m. Suppose -4*w + z = 3. Factor -v**w + v**5 - 3*v**3 + 2*v**2 - 3*v**2.
v**2*(v - 2)*(v + 1)**2
Let g(y) be the first derivative of -3*y**4/8 - 16*y**3 - 417*y**2/4 - 162*y + 3043. Suppose g(x) = 0. Calculate x.
-27, -4, -1
Suppose 1853 = 8*w + i, -3*w + 1145 = 2*w + 5*i. Let t = w - 228. Factor 0*k + 0 - 1/4*k**2 - 1/2*k**t - 3/4*k**3.
-k**2*(k + 1)*(2*k + 1)/4
Let z = 1420/33 + -2741/66. Solve -3*g**2 + 9*g**3 + 9/2 - z*g**5 - 15/2*g - 3/2*g**4 = 0.
-3, -1, 1
Suppose -v + 4*j = -2, -154*v - 9 = -149*v - j. Let h be (-2720)/(-1440) + (17/(-9) - v). Factor 1/2*c**h - 11/2 - 5*c.
(c - 11)*(c + 1)/2
Determine s so that -5586*s + 3291 - 17*s**2 - 3291 + 20*s**2 = 0.
0, 1862
Let f(k) = -k**3 - 8*k**2 - 17*k - 12. Let t(w) = 48 + 5*w**3 + 66 + 64*w**2 + 136*w - 17 + 3*w**3. Let b(i) = -51*f(i) - 6*t(i). Factor b(g).
3*(g + 1)*(g + 2)*(g + 5)
Factor -174*d + 1215/7 + 3/7*d**2.
3*(d - 405)*(d - 1)/7
Let t(s) = s**2 + 10*s + 22. Let w(n) = -75 - 112*n - 12*n**2 - 181 + 12. Let i(k) = 68*t(k) + 6*w(k). Factor i(d).
-4*(d - 4)*(d + 2)
Suppose 0 = -58*r + 65*r - 119. What is i in -15*i**5 + 9 + 78*i**2 - 37*i**4 - 33 + 14*i - r*i**4 - 21*i**3 + 22*i = 0?
-2, -1, 2/5, 1
Suppose -156*a + 882 = -142*a. Suppose 10 = 2*s + 2*m, s + 3*m = 74 - a. Factor d**s - 2/5*d - 3/5.
(d - 1)*(5*d + 3)/5
Let n = 2826 + -2826. Let j(d) be the third derivative of 1/200*d**6 + 0*d + 0 - 7*d**2 + 0*d**4 - 1/100*d**5 + n*d**3. Factor j(f).
3*f**2*(f - 1)/5
Let d(f) = -6*f**3 - 3*f**2 + f - 2. Suppose 6 = 27*r - 21*r. Let o(s) = -s**3 - 1. Let y(x) = r*d(x) - 5*o(x). Factor y(h).
-(h - 1)*(h + 1)*(h + 3)
Let u(d) = -6*d**3 + 50*d**2 - 190*d + 174. Let l(b) = 19*b**3 - 153*