 a(d) = -3*d**2 + 20130*d + 16853883. Let j(g) = g**2 - 10064*g - 8426940. Let y(t) = -4*a(t) - 9*j(t). Factor y(r).
3*(r + 1676)**2
Let x(i) be the second derivative of -43/80*i**6 + 107/80*i**5 + 37/96*i**4 - 7/4*i**2 - 9/4*i**3 + 6 + 31*i + 1/24*i**7. What is o in x(o) = 0?
-1/2, -2/7, 1, 2, 7
Let l = 18599 - 18593. Let k(u) be the first derivative of -29 - l*u**2 - 2/3*u**3 + 0*u + 1/2*u**4. Solve k(j) = 0.
-2, 0, 3
Let l(c) = -c**2 + 16*c + 842. Let p be l(-22). Let i(b) be the second derivative of 1/4*b**5 - 1/12*b**p + 0 - 3*b + 0*b**2 + 0*b**3 - 5/24*b**4. Factor i(w).
-5*w**2*(w - 1)**2/2
Let i(d) be the first derivative of -3*d**4/16 + 6*d**3 + 945*d**2/8 + 1275*d/2 - 1843. What is p in i(p) = 0?
-5, 34
Let c(m) be the second derivative of m**4/6 + 28*m**3/3 + 52*m**2 + 47*m + 6. Factor c(s).
2*(s + 2)*(s + 26)
Determine m so that 0 + 30*m**2 - 9*m + 45/4*m**4 + 291/4*m**3 = 0.
-6, -2/3, 0, 1/5
Factor 5*r**3 - 6680 + 390*r**2 + 6765*r + 20166 + 0*r**3 + 20394.
5*(r + 11)**2*(r + 56)
Let f(y) be the second derivative of -y**6/900 + 3*y**5/50 - 193*y**3/6 - y**2/2 + y + 9. Let d(t) be the second derivative of f(t). Factor d(b).
-2*b*(b - 18)/5
Let i(b) be the second derivative of b**4/6 - 24*b**3 + 71*b**2 + 4*b - 257. Find x, given that i(x) = 0.
1, 71
Suppose 5*f - 4*m = -60 + 106, -m = 4. Let y(d) be the second derivative of 3/10*d**5 + 6/25*d**f - 2/15*d**4 - 4/15*d**3 + 0*d**2 + 0 + 32*d. Solve y(s) = 0.
-2/3, 0, 1/2
Let x(l) be the third derivative of -9/8*l**4 - 1/40*l**6 + 0*l**3 + 0*l - 3/10*l**5 + 0 + 102*l**2. Solve x(j) = 0 for j.
-3, 0
Let c be (7/(-42) + (-20)/(-3) - 7)*0. Let k(l) be the second derivative of 18*l**2 + c*l**3 + 0 - 1/3*l**4 - 23*l. Find m such that k(m) = 0.
-3, 3
Let x(b) be the first derivative of 21*b**5/5 - 39*b**4 + 14*b**3 + 78*b**2 - 63*b - 888. Let x(v) = 0. What is v?
-1, 3/7, 1, 7
Let g(d) = -16*d - 109. Let f be g(-7). Find w, given that -4*w**4 + 7*w**2 + 24*w - 3*w**2 + 0*w**2 + 0*w**3 - 30*w + 6*w**f = 0.
-1, 0, 1, 3/2
Let r = -88330/3 + 29454. Let i(m) be the first derivative of -2*m + 42 - 14*m**4 + r*m**3 + 13*m**2. What is w in i(w) = 0?
-1/2, 1/14, 1
Suppose 5*y + 4*k - 5562 = 3421, -4*y - 3*k = -7187. Let t = -1797 + y. Find j, given that -1/2*j**3 - 3/2*j - 2*j**t + 0 = 0.
-3, -1, 0
Let -6348*j**3 - 15 - 11032*j**2 - 1717*j - 20984*j**2 + 334*j = 0. What is j?
-5, -1/46
Let o(c) be the second derivative of -2 + 35*c - 5/42*c**7 - 51/5*c**5 - 31/15*c**6 - 6*c**4 + 0*c**2 + 0*c**3. Factor o(v).
-v**2*(v + 6)**2*(5*v + 2)
Let a(l) be the third derivative of 0*l**3 + 0 - 3*l**4 + 89/40*l**6 + 1/10*l**7 + 0*l - 46*l**2 + 29/10*l**5. Factor a(g).
3*g*(g + 1)*(g + 12)*(7*g - 2)
Let c(f) be the third derivative of -f**6/30 - 41*f**5/15 - 359*f**4/6 - 638*f**3/3 - 363*f**2 + 7. Factor c(s).
-4*(s + 1)*(s + 11)*(s + 29)
Solve 1/7*o**5 + 0*o - 3/7*o**2 + 3/7*o**4 - 1/7*o**3 + 0 = 0.
-3, -1, 0, 1
Let h(k) = k**2. Suppose 85 = -7*r + 64. Let v(d) be the first derivative of d**4 - 3*d**3 + 16*d - 7. Let p(j) = r*h(j) + v(j). Factor p(f).
4*(f - 2)**2*(f + 1)
Let a = 169/3728 - -4/233. Let t(l) be the third derivative of 0 + 15*l**2 + 1/80*l**6 + 0*l - a*l**4 + 0*l**3 + 0*l**5. Suppose t(y) = 0. What is y?
-1, 0, 1
Let r be (-15 + 14)/((-3)/(-5520)). Let g = -20238/11 - r. What is s in 4/11*s - 2/11*s**2 + 0 + g*s**4 - 4/11*s**3 = 0?
-1, 0, 1, 2
Let s be (-3)/(-6)*-2*-5. Factor 4*z - 2*z**3 + s*z**3 + z**4 - 8*z.
z*(z - 1)*(z + 2)**2
Let w(b) be the third derivative of 1/270*b**5 + 16/3*b**3 + 0 - 2/9*b**4 - 127*b**2 + 0*b. Determine a, given that w(a) = 0.
12
Factor 400/3 - 13/3*q**3 - 745/9*q - 139/3*q**2 + 1/9*q**4.
(q - 48)*(q - 1)*(q + 5)**2/9
Let r be -1 + -7 - (8/3)/((-1290)/4257). Let 0*p - 2*p**3 - 2/5*p**5 + r*p**2 + 8/5*p**4 + 0 = 0. What is p?
0, 1, 2
Let r = 742 - 742. Let q be 68/(-272) + r + 18/8. Let 3/2*z**2 - 1/2*z**4 + z**3 - 2*z - q = 0. What is z?
-1, 2
Let q(l) be the first derivative of -2*l**6/3 + 164*l**5/5 - 512*l**4 + 7648*l**3/3 - 5472*l**2 + 5184*l - 1462. Let q(f) = 0. Calculate f.
1, 2, 18
Let g(a) be the first derivative of 8/3*a - 1/3*a**3 - 1/12*a**4 + a**2 + 146. Find i, given that g(i) = 0.
-4, -1, 2
Let z = 1676/35 - 1662/35. Factor -2/5*n**3 - 4/5*n**2 - z*n + 0.
-2*n*(n + 1)**2/5
Let b(a) be the first derivative of -75/16*a**2 + 1/8*a**3 - 82 - 39/4*a. Factor b(x).
3*(x - 26)*(x + 1)/8
Let k(d) be the second derivative of d**6/6 + 45*d**5/4 + 425*d**4/12 - 75*d**3/2 - 215*d**2 + 1821*d. Determine n so that k(n) = 0.
-43, -2, -1, 1
Let c(f) be the first derivative of -5 + f**2 + 2/3*f**3 + 0*f. Let v(j) = j**2 + j. Let k(d) = 5*c(d) - 15*v(d). Factor k(r).
-5*r*(r + 1)
Let q(p) be the second derivative of -2/3*p**4 - 38*p - 4/15*p**6 - p**2 - 8/21*p**7 + 47/20*p**5 - 13/6*p**3 + 0. Let q(w) = 0. Calculate w.
-2, -1/4, 1
Let b = -998 + 3557/3. Let q = 189 - b. Factor q*d**3 + 4/3*d**4 - 4/3*d + 8/3 - 4*d**2.
4*(d - 1)**2*(d + 1)*(d + 2)/3
Solve -2/9*b**2 + 0*b + 0 + 4/9*b**3 - 2/9*b**4 = 0 for b.
0, 1
Let b(h) = -2 - 3*h - 7*h + 0. Suppose 60*a - 57*a = 6. Let d(t) = t**2 - 10*t - 3. Let p(g) = a*d(g) - 3*b(g). Find l, given that p(l) = 0.
-5, 0
Suppose -34 = -0*u - 17*u. Find q, given that -2*q**3 + 107*q**u - 100*q**2 + q**5 - 7*q**4 + q**3 = 0.
-1, 0, 1, 7
Let r(l) be the first derivative of 3481*l**2 - 118/3*l**3 - 186 + 1/6*l**4 - 410758/3*l. Factor r(i).
2*(i - 59)**3/3
Factor 6/7*b - 1/7*b**2 - 4/7*b**3 + 0 - 1/7*b**4.
-b*(b - 1)*(b + 2)*(b + 3)/7
Let v(f) = f**2 + 7*f - 43. Let l be v(-12). Let o be l/35 + (-4)/14. Determine s, given that -2/5*s + o*s**2 + 1/5 = 0.
1
Let r(j) be the third derivative of j**5/40 + 297*j**4/16 + 365*j**3 - 2725*j**2. Determine w so that r(w) = 0.
-292, -5
Let k(u) be the third derivative of -u**8/448 + 19*u**7/840 - 13*u**6/160 + 29*u**5/240 - u**4/16 + 61*u**2 + 2*u - 18. Find a, given that k(a) = 0.
0, 1/3, 1, 2, 3
Factor 0 + 57*l**3 + 1/4*l**5 + 0*l - 31/4*l**4 + 0*l**2.
l**3*(l - 19)*(l - 12)/4
Let h(u) be the first derivative of u**3/6 - 27*u**2/8 + 1191. Factor h(x).
x*(2*x - 27)/4
Let -22/3*b + 1/3*b**2 - 16 = 0. What is b?
-2, 24
Factor 212/5 - 6/5*m**2 - 206/5*m.
-2*(m - 1)*(3*m + 106)/5
Let n(b) be the third derivative of -b**5/15 + 11*b**2 + 3. Let t(o) = -17*o**2 + 16*o - 15. Let z(r) = -4*n(r) + t(r). Suppose z(j) = 0. Calculate j.
1, 15
Factor -4*p**2 + 2*p**2 + 1146*p**3 - 1145*p**3 - 4*p**2 + 7*p - 2*p**2.
p*(p - 7)*(p - 1)
Let s be (-126)/28*8/(-3). Factor 10*v**4 - 3*v**5 + s*v**2 + 5*v**3 - v**4 + 16*v**3 - 3*v**4.
-3*v**2*(v - 4)*(v + 1)**2
Factor 6561 - 1/3*o**4 + 4536*o - 160/3*o**3 - 2078*o**2.
-(o - 3)*(o + 1)*(o + 81)**2/3
Let v(b) be the first derivative of b**4 - 88*b**3/3 + 80*b**2 - 5554. Factor v(g).
4*g*(g - 20)*(g - 2)
Let b = -3128 + 46922/15. Let i(l) be the third derivative of 0*l**4 + 12*l**2 + 0 + 1/100*l**5 + 1/600*l**6 - b*l**3 + 0*l. Solve i(u) = 0.
-2, 1
Let d(l) be the first derivative of -4*l**3/3 - 480*l**2 - 3776*l + 6681. Factor d(x).
-4*(x + 4)*(x + 236)
Suppose 0 + 16/11*d - 28706/11*d**4 + 7188/11*d**3 - 600/11*d**2 + 28830/11*d**5 = 0. What is d?
0, 2/31, 1/5, 2/3
Find b such that 11/3*b**3 + 15*b**4 - 148/3*b**2 + 16 + 44/3*b = 0.
-2, -4/9, 1, 6/5
Let z = 9/91 - -701/273. Suppose -2*h - 2 = 4*w - 6, -3*h - 2 = -2*w. Factor -4/3*n**2 + h + z*n.
-4*n*(n - 2)/3
Suppose -4*t - 1712 = 3*z + 236, 4*z + 2436 = -5*t. Let k = t + 488. Factor 0 - k*r + 4/3*r**2.
4*r*(r - 3)/3
Let c(l) be the first derivative of 22500*l**3 - 3150*l**2 + 147*l - 2144. Factor c(o).
3*(150*o - 7)**2
Let t(f) be the second derivative of -f**6/15 - 43*f**5/20 - 5*f**4/3 + 7*f**3/2 - 1833*f. Factor t(u).
-u*(u + 1)*(u + 21)*(2*u - 1)
Let g(m) = 14*m + 126. Let h be g(-9). Let i(t) be the third derivative of 0*t**4 - 7/660*t**6 - 1/165*t**5 + 0*t - 19*t**2 + h*t**3 + 0. Factor i(l).
-2*l**2*(7*l + 2)/11
Suppose -h = v - 72 + 46, -4*v - 112 = -5*h. Let o be (20/(-15))/((h/(-27))/2). Factor 25/4*c**4 + 1 + 69/4*c**2 - 7*c - 35/2*c**o.
(c - 1)**2*(5*c - 2)**2/4
Suppose 661*j - 628 = 2008*j - 628. Determine y, given that 10/9 + 11/3*y + 38/9*y**2 + j*y**4 + 16/9*y**3 - 1/9*y**5 = 0.
-2, -1, 5
Let p(f) be the first derivative of -f**4/20 - 32*f**3/5 + f**2/10 + 96*f/5 + 8870. Factor p(s).
-(s - 1)*(s + 1)*(s 