be the third derivative of c**7/42 - c**6 - 13*c**5/3 + 1057*c**2. Factor q(w).
5*w**2*(w - 26)*(w + 2)
Let c(j) be the third derivative of 0*j - 5*j**2 + 1/12*j**5 + 20*j**3 + 6 + 25/12*j**4. Factor c(t).
5*(t + 4)*(t + 6)
Let j = 625355/3 + -208449. Factor j + 1/6*x**2 + 17/6*x.
(x + 1)*(x + 16)/6
Suppose -q - 3*g = -6*q + 1, 5*q = 5*g - 5. Let 48*t - 1216 + 2*t**2 + 2*t**q + 1360 = 0. Calculate t.
-6
Let x be 30/(-4)*32/40*(-13)/26. Suppose 0 = -2*z - j + 8, -14 = -z - 2*z - 2*j. Factor -10*q**z - 38*q**2 + 23*q**2 - 20*q**x - 5*q**4 - 10*q.
-5*q*(q + 1)**2*(q + 2)
Factor -540/7 - 10/7*w**2 - 1354/7*w.
-2*(w + 135)*(5*w + 2)/7
Let c(v) = 4*v**3 - 18*v**2 - 77*v + 340. Let h be c(4). Let 5*y**3 + 0 - y**2 + h*y + 7/4*y**5 - 23/4*y**4 = 0. Calculate y.
0, 2/7, 1, 2
Suppose -4*m + 68 = -5*j, -49 + 13 = 3*j. Factor 40/11*w + 0 - 38/11*w**m - 2/11*w**3.
-2*w*(w - 1)*(w + 20)/11
Let k(o) be the first derivative of -4*o**3/3 - 1574*o**2 + 3152*o - 6908. What is z in k(z) = 0?
-788, 1
Let h = -8984 + 17969/2. Let i(k) be the first derivative of 1/4*k**2 + 0*k + h*k**3 - 3/10*k**5 - 1/8*k**4 + 42. Let i(y) = 0. What is y?
-1, -1/3, 0, 1
Let r(z) be the first derivative of -z**3/3 - 17*z**2/2 + 168*z + 547. Find j, given that r(j) = 0.
-24, 7
Let g(o) be the second derivative of 5*o**7/42 + o**6/3 - 2*o**5 - 15*o**4/2 - 15*o**3/2 - 2195*o. Factor g(m).
5*m*(m - 3)*(m + 1)**2*(m + 3)
Suppose -9*b = 3*c - 21, 12*c - 15*c = 6. Let o(l) be the first derivative of 0*l + 3/34*l**4 + 4/51*l**b - 7 + 0*l**2 + 2/85*l**5. Solve o(t) = 0 for t.
-2, -1, 0
Let c = 550 + -544. Suppose -c - 4 = -5*a. Factor 0 + 2/11*g**a - 10/11*g.
2*g*(g - 5)/11
Let l be 27/(192/(-21) - -9). Let a be 70/l*(-84)/35. Determine i, given that 4/9 - 10/9*i + a*i**2 - 2/9*i**3 = 0.
1, 2
Solve 165*h + 225/2 + 121/2*h**2 = 0 for h.
-15/11
Factor -1/5*d**3 + 42/5 + 18/5*d**2 - 59/5*d.
-(d - 14)*(d - 3)*(d - 1)/5
Suppose -4*z - 260 = -256. Let m be 20 - (0 + 4) - (-4)/z. Factor -36/5*y**4 + 0 + 4/5*y - 28/5*y**2 + m*y**3.
-4*y*(y - 1)*(3*y - 1)**2/5
Let b(d) = d**3 + 5*d**2 + 6*d + 9. Let y be b(-4). Let w be y - 1/3 - 414/(-27). Factor -10*v**5 + 14*v**5 - v**2 + 20*v**3 - w*v**4 - 7*v**2.
4*v**2*(v - 2)*(v - 1)**2
Let v(y) = -y**4 + y**3 - y**2 - y - 1. Let t(j) = -7*j**4 + 4*j**3 - 4*j**2 - 8*j - 8. Let l be -3*2 - 9/(-9). Let i(x) = l*t(x) + 40*v(x). Factor i(z).
-5*z**2*(z - 2)**2
Suppose 33 - 253 = 11*f. Let j be 124/f - (5 - 12). Factor j*g - 1/5*g**2 + 1.
-(g - 5)*(g + 1)/5
Find r, given that -3/4*r**2 - 189 - 201/4*r = 0.
-63, -4
Let h(b) be the first derivative of -b**5/15 + 7*b**4/6 + 31*b**3/9 + 8*b**2/3 - 1027. Factor h(q).
-q*(q - 16)*(q + 1)**2/3
Let y = 66 - 64. Suppose -2*b = y*f - 14, -b - 5*f = 2*b - 31. Suppose 77*w**2 - 73*w**b + 16*w**4 + w**4 - 3*w**4 - 18*w**3 = 0. What is w?
0, 2/7, 1
Let x = 322 - 319. Let b(n) = n**3 + n**2 - 2*n + 2. Let w(l) = -2*l**3 - l**2 + 3*l - 3. Let p(f) = x*b(f) + 2*w(f). Factor p(v).
-v**2*(v - 1)
Suppose -1799*d + 280*d = -3038. Factor 7/4*x**d + 0 - 3/2*x - 1/4*x**3.
-x*(x - 6)*(x - 1)/4
Suppose 3*g + 27 = 2*q + 2*g, -5*q + 75 = -5*g. Factor q + 15*z**2 - 60*z + 11 + 4*z**3 + 9 + 9*z**2.
4*(z - 1)**2*(z + 8)
Let t(l) be the first derivative of l**4 - 84*l**3 + 2646*l**2 - 37044*l + 471. Factor t(h).
4*(h - 21)**3
Factor -44*n**2 - 48 - 2/3*n**4 + 10*n**3 + 232/3*n.
-2*(n - 9)*(n - 2)**3/3
Let n be 13/3 + -1 - 89/22695*85. Suppose -36/7*j**4 + 1/7 - 67/7*j**n - 25/7*j**2 + j = 0. Calculate j.
-1, -1/9, 1/4
Let u = -125 - -294. Solve u*m**4 + 5*m**3 - 85*m**4 - 89*m**4 = 0 for m.
0, 1
Let j be 0 + (-9)/(-21)*7. Suppose -4*r - 7*o = -2*o, -o = -j*r. Let 0 - 4/7*y**3 + 2/7*y + 0*y**2 + 2/7*y**5 + r*y**4 = 0. What is y?
-1, 0, 1
Let a be 632/224 + 4/(-7). Factor -1/4*x**3 + 3/2*x**2 + 0 - a*x.
-x*(x - 3)**2/4
Let h(d) = 127*d + 126*d**3 + 1 - 269*d**2 + 16 - 3 - 11*d**3. Let v(z) = -77*z**3 + 179*z**2 - 85*z - 10. Let o(y) = 5*h(y) + 7*v(y). Factor o(f).
4*f*(f - 2)*(9*f - 5)
Let j(w) be the second derivative of -w**5/80 - w**4/16 - w**3/8 - 29*w**2/2 - 19*w + 1. Let o(s) be the first derivative of j(s). Factor o(c).
-3*(c + 1)**2/4
Suppose 5*v = 5*h - 135, -4*h = 3*v - 5*v - 100. Let p = h - 21. Suppose 14*w - 33*w**2 - 4 - 2*w**p + 17*w**2 - 2*w**4 + 10*w**3 = 0. What is w?
1, 2
Let m(v) be the first derivative of 6*v**3 - 21/2*v**2 + 0*v + 3/4*v**4 - 202. Factor m(z).
3*z*(z - 1)*(z + 7)
Let z(l) = -l**2 - l - 7. Let h be z(5). Let x be 2*(3 - h)/5. What is d in -46*d**3 - 52*d + 96*d**2 + x*d**4 - 52 - 22*d**3 + 60 = 0?
1/4, 1, 2
Suppose 46464 + 352*y + 2/3*y**2 = 0. What is y?
-264
Suppose 3*k + 28 = 5*k + 2*i, i = 4. Suppose 2876 = -k*b + 2906. Factor -1/4*h**b - 1/2*h**2 + 0 + 0*h.
-h**2*(h + 2)/4
Determine r so that 0 - 436/11*r**2 + 864/11*r + 2/11*r**3 = 0.
0, 2, 216
Let y(o) be the first derivative of 4*o**3/21 - 48*o**2/7 + 572*o/7 - 610. Determine p, given that y(p) = 0.
11, 13
Let z(d) = d**2 - 10*d - 7. Let m be z(11). Factor 6*g**4 - 39*g**2 - 13*g**4 + 5*g**4 - 20*g - 16*g + 5*g**m.
3*g*(g - 4)*(g + 1)*(g + 3)
Solve 2*h - 472*h**2 + 118*h + 478*h**3 - 198*h**5 + 188*h**5 - 116*h**4 = 0 for h.
-15, 0, 2/5, 1, 2
Let y(j) be the first derivative of 2*j**3/21 + 38*j**2 + 5054*j + 3847. Factor y(t).
2*(t + 133)**2/7
Let y(i) be the second derivative of i**6/30 + i**5/5 + i**4/6 - 2*i**3/3 - 3*i**2/2 - 189*i. Determine r so that y(r) = 0.
-3, -1, 1
Let z(r) be the third derivative of r**5/20 + 57*r**4/8 - 297*r**3 - 6*r**2 + 93. Determine m so that z(m) = 0.
-66, 9
Let p(r) = 19*r**3 - 23*r**2 + 40*r - 24. Let a(x) = 25*x**3 - 23*x**2 + 39*x - 25. Let c(h) = -3*a(h) + 4*p(h). Factor c(u).
(u - 21)*(u - 1)**2
Let w(m) = -m**3 - 4*m**2 - 2*m + 1. Let v be w(-4). Suppose 5*q + 20 = v*q. Determine h, given that -3*h**4 + 656 - 3*h**q - 656 + 6*h**3 = 0.
-2, 0, 1
Let p(y) be the third derivative of -y**5/240 - 39*y**4/16 - 233*y**3/24 + 27*y**2 - 10*y. Factor p(d).
-(d + 1)*(d + 233)/4
Let p(k) = -9*k**3 + 4*k + 4. Let m = -10 - -8. Let s be p(m). Factor -j**2 - s + 72 - 3*j**2.
-4*(j - 1)*(j + 1)
Let x be (8 + -8)/(-1 - 1). Factor -140*i**2 + x*i**4 - 8 + 16*i + 134*i**2 - 4*i**3 + 2*i**4.
2*(i - 2)*(i - 1)**2*(i + 2)
Let s(g) be the third derivative of -124*g**2 + 1/120*g**6 + 0 + 0*g + 13/210*g**5 + 0*g**3 - 1/21*g**4. Factor s(x).
x*(x + 4)*(7*x - 2)/7
Let c(f) be the third derivative of 0*f + 11/42*f**3 + 1/14*f**4 + 0 + 1/420*f**5 + 105*f**2. Factor c(z).
(z + 1)*(z + 11)/7
Let l(t) be the first derivative of -30*t**3 - 270*t**2 + 65 - 1080*t - 5/4*t**4. Factor l(d).
-5*(d + 6)**3
Let o(k) be the second derivative of k**5/30 + k**4/4 + 2*k**3/3 + 54*k**2 + 46*k. Let g(b) be the first derivative of o(b). Suppose g(x) = 0. Calculate x.
-2, -1
Suppose -232*t - 12 = -238*t. Factor 4*q - 18*q - t - 4*q - 4*q + 20*q**3 - 4*q**2 + 14*q**4 - 8 + 2*q**5.
2*(q - 1)*(q + 1)**3*(q + 5)
Let i(d) = -14*d**2 + 29*d**3 - 59*d**3 + 27*d**3 + 35*d - 28. Let q(r) = 4*r**3 + 14*r**2 - 36*r + 30. Let l(n) = 6*i(n) + 5*q(n). Suppose l(w) = 0. What is w?
1, 3
Let r(z) = 3*z**2 - 25*z + 28. Let g(u) = -u - 2. Let j(l) = -l**3 - 27*l**2 - 49*l + 27. Let v be j(-25). Let k(p) = v*g(p) + r(p). Find w such that k(w) = 0.
1, 8
Factor -6*a**2 - 3714*a + 7416 - 4*a**2 - 3*a**2 + 9*a**2 + 7*a**2.
3*(a - 1236)*(a - 2)
Let o(r) be the second derivative of r**4/9 + 5948*r**3/9 + 4422338*r**2/3 + 1945*r - 2. Factor o(q).
4*(q + 1487)**2/3
Suppose -4 = -40*x + 39*x. Let 19*z**3 - 59*z**2 - 79*z**3 - 36*z**4 + 31*z**2 - x*z**5 = 0. Calculate z.
-7, -1, 0
Factor 12*p - 4/3*p**2 + 448/3.
-4*(p - 16)*(p + 7)/3
Let z(o) be the third derivative of o**8/5880 - o**7/210 + 7*o**6/180 + 16*o**3 - 2*o**2 + 15*o. Let u(y) be the first derivative of z(y). Factor u(f).
2*f**2*(f - 7)**2/7
Suppose -14*z**4 - 16*z**2 - 341*z + 2*z**5 + 32*z**3 + 32 - 366*z + 1031*z - 356*z = 0. What is z?
-1, 2
Solve 15*a**3 + 23797*a**4 - 11894*a**4 + 12*a**2 - 11900*a**4 = 0 for a.
-4, -1, 0
Factor 1822/9 + 608/3*q + 2/9*q**2.
2*(q + 1)*(q + 911)/9
Let u(a) be the second derivative of -a**5/80 + 29*a**4/32 - 7*a**3/2 - 35*a**2/2 - 25*a. Let o(m) be the first derivative of u(m). Factor o(q).
-3*(q - 28)*(q - 1)/4
Let p(l) = -l**3 + l - 87. Let g be p(0). Let a = -85 - g. Let -6*v - 41*v**a 