t c = 1265112/11 - 115010. Factor 72/11 + 24/11*u + c*u**2.
2*(u + 6)**2/11
Suppose 286 = a - 5*u, -a + 2*u = 119 - 411. Let m = -296 + a. Solve -2/5*w**4 + m*w + 0 - 4/5*w**3 + 0*w**2 = 0 for w.
-2, 0
Suppose 3 = -2*b - 7. Let p(s) = 5*s**3 + 9*s + 6. Let q(f) = 37*f**3 - 14*f**3 - 17*f**3 + 10*f + 0*f - f**2 + 7. Let d(g) = b*p(g) + 4*q(g). Factor d(t).
-(t + 1)**2*(t + 2)
Let u(k) be the second derivative of k**7/21 - k**6/15 - k**5/5 + k**4/3 + k**3/3 - k**2 + 765*k. Factor u(s).
2*(s - 1)**3*(s + 1)**2
Find n, given that -4/7*n**3 + 0 + 4/7*n**5 - 36*n**2 + 0*n + 36*n**4 = 0.
-63, -1, 0, 1
Let f(z) = 2*z**2 - 13*z - 3. Let s = 2505 + -2498. Let j be f(s). Let 0 + 4/5*b**j - 12/5*b**2 + 0*b - 8/5*b**3 = 0. What is b?
-1, 0, 3
Let n = -1274 + 6882/5. Find c, given that n + 64/5*c + 2/5*c**2 = 0.
-16
Let x = 4812 + -24258/5. Let l = x - -797/20. Solve -l*z**3 + 3/4*z**2 - 3/4*z + 1/4 = 0 for z.
1
Let u(j) be the third derivative of -j**5/12 + 155*j**4/24 - 595*j**3/3 - j**2 - 977. Factor u(p).
-5*(p - 17)*(p - 14)
Factor -147/4*q**2 - 432 - 3/4*q**3 - 468*q.
-3*(q + 1)*(q + 24)**2/4
Let l(w) be the first derivative of -2*w**3/3 + 97*w**2/2 + 49*w - 1306. Find o, given that l(o) = 0.
-1/2, 49
Let z = 8 + -4. Solve 11*t**4 + 4*t**5 - 85*t**z + 195*t**3 - 279*t**3 - 6*t**4 = 0 for t.
-1, 0, 21
Let o = -161 + 163. Determine s so that 7*s**2 + 25*s - 22*s**o + 64*s - 30 + 6*s = 0.
1/3, 6
Let c(g) be the third derivative of g**8/4032 + 19*g**7/504 - 13*g**6/48 + 133*g**5/60 + 76*g**2 + 2*g. Let t(k) be the third derivative of c(k). Factor t(w).
5*(w - 1)*(w + 39)
Let p(w) be the second derivative of -w**4/3 - 160*w**3/3 - 3337*w. Factor p(j).
-4*j*(j + 80)
Let p(z) be the third derivative of z**7/735 - z**6/28 - 11*z**5/42 + 5*z**4/28 + 18*z**3/7 - 251*z**2. Find i such that p(i) = 0.
-3, -1, 1, 18
Let b be (-4)/1*3/(-6). Determine u, given that 45*u**2 + 24 + 4*u**4 + 9*u**b - 21*u**3 - u**4 - 60*u = 0.
1, 2
Determine v, given that 823*v**2 + 136*v + 834*v**2 + 66 + 99 + 34*v - 1652*v**2 = 0.
-33, -1
Let a(n) = -n**2 - 19*n - 85. Let l be a(-11). Solve -25/2*b**l + 25/2*b + 5/2*b**4 + 15 - 35/2*b**2 = 0 for b.
-1, 1, 6
Factor -8788/5*v**5 + 3887*v**4 + 1124/5*v**2 - 56/5*v + 0 - 7722/5*v**3.
-v*(4*v - 7)*(13*v - 2)**3/5
Let o be 1*-2*((-32)/4 + 10). Let n(i) = 35*i**2 + 65*i + 5. Let l(v) = -8*v**2 - 16*v - 1. Let m(x) = o*n(x) - 15*l(x). Find w such that m(w) = 0.
-1/2
Suppose -25*z = 639 - 14264. Factor -22*d - 28*d - 180 + 14*d - 550*d**2 - 24*d + z*d**2.
-5*(d + 6)**2
Let t(o) = -21*o**4 + 162*o**3 - 157*o**2 - 4*o + 20. Let g(m) = -5*m**4 + m**3 - m + 5. Let b(u) = 4*g(u) - t(u). Factor b(v).
v**2*(v - 157)*(v - 1)
Let z(i) be the third derivative of -3/10*i**5 + 4/3*i**4 - 64/27*i**3 + 0 + 83*i**2 + 0*i. Factor z(n).
-2*(9*n - 8)**2/9
Let o(d) be the second derivative of 0*d**2 + 0*d**3 - 1/10*d**5 + 11 + 12*d - 5/2*d**4. Suppose o(f) = 0. What is f?
-15, 0
Let i be 52 - (-4)/3*-3. Let v be i/20*1520/399. Factor -36/7*y - 4/7*y**5 - 8/7 - 24/7*y**4 - 8*y**3 - v*y**2.
-4*(y + 1)**4*(y + 2)/7
Suppose 179*a - 24101 + 541*a - 19099 - 3*a**2 = 0. Calculate a.
120
Let w(h) be the third derivative of h**6/40 + 7*h**5/5 + 137*h**4/8 + 55*h**3 - 412*h**2. Let w(y) = 0. Calculate y.
-22, -5, -1
Let s(b) be the second derivative of b**7/210 - b**6/15 - 3*b**5/50 + 13*b**4/15 + 77*b**3/30 + 3*b**2 - 2046*b. Factor s(m).
(m - 10)*(m - 3)*(m + 1)**3/5
Let p(i) be the second derivative of -i**4/48 + 41*i**3/8 + 31*i**2/2 - 78*i - 5. Factor p(w).
-(w - 124)*(w + 1)/4
Let l(m) = 13*m**3 + 319*m**2 - 705*m - 971. Let b(u) = -15*u**3 - 320*u**2 + 715*u + 970. Let h(t) = 4*b(t) + 5*l(t). Factor h(j).
5*(j - 3)*(j + 1)*(j + 65)
Let l(o) = -2*o**2 + 7 - 3*o**2 + 6*o**2 - 6 - 2*o**2. Let d(k) = -6*k**2 - k + 17. Let p(x) = -3*d(x) + 15*l(x). Determine s so that p(s) = 0.
-4, 3
Suppose 29*l - 6 = 27*l. Suppose 5*t + l*v = 12, v - 1 = t - 5. Suppose 27*k - 2*k**3 - 11*k**4 - t - 16*k + 7 + 17*k + 33*k**2 = 0. What is k?
-1, -2/11, 2
Let o(q) = -148*q**2 + 5114*q + 10344. Let x(h) = 174*h**2 - 5966*h - 12068. Let s(w) = -20*o(w) - 17*x(w). Factor s(i).
2*(i - 431)*(i + 2)
Let p(z) = -8*z**2 + 40*z - 98. Let g(b) = b**2 - 4*b - 3. Let y(c) = 10*g(c) + p(c). Find j such that y(j) = 0.
-8, 8
Let a(y) = -y**2 + 12*y - 14. Let l be a(8). Suppose 0*i - l = -2*i. Factor -5*z**4 - 5*z**5 - 12*z**2 + i*z**2 - 17*z**2 + 20*z**4.
-5*z**2*(z - 2)**2*(z + 1)
Suppose 22*m - 839 - 349 = 0. Let o be 54/m*(-1 + 4). Let -3/2*r**o - 162*r + 27*r**2 + 324 = 0. What is r?
6
Let v(w) be the second derivative of -w**10/6048 + w**9/1008 - w**8/672 + 17*w**4/12 - 10*w. Let y(l) be the third derivative of v(l). Solve y(p) = 0.
0, 1, 2
Let o be 2/64 - 70812/(-35968). Let -36/7*k + 0 - 4/7*k**o = 0. Calculate k.
-9, 0
Let k = -24183/5 + 4839. Let u(x) be the second derivative of -2*x**4 - 2/7*x**7 + 0 + 21*x + 0*x**2 - 2/3*x**3 - k*x**5 - 4/3*x**6. Solve u(l) = 0 for l.
-1, -1/3, 0
Let p be 0/(-2) - (4 + -5 + -9). Suppose 3*q = 3*k + 12, 5*q + 2*k + 3*k = p. Factor -171*d**2 + 5*d**q - 3*d**4 + 166*d**2 + 8*d**4 - 5*d.
5*d*(d - 1)*(d + 1)**2
Suppose -2613 = 15*n + 297. Let f = n - -194. Factor 1/3*x**3 + 0*x + 0 + f*x**2.
x**3/3
Let w(g) be the first derivative of -5*g**6/6 + 8*g**5 - 15*g**4 - 10*g**3/3 + 65*g**2/2 - 30*g - 866. Factor w(o).
-5*(o - 6)*(o - 1)**3*(o + 1)
Let p be 110/33*(18495/(-450) + 42). Factor 2/9*l**5 - 8/9*l**2 + 2*l**p - 4/3*l**4 + 0 + 0*l.
2*l**2*(l - 4)*(l - 1)**2/9
Factor -162*c**3 - 240*c - 36*c**4 - 72*c**2 + 3*c**5 - 221*c**3 + 512*c**3.
3*c*(c - 5)*(c - 4)**2*(c + 1)
Suppose -13*i - 14*i = -22*i. Let s = 1393/76 + 1/228. Find x such that -5/3*x**5 - 175/3*x**3 + 125/3*x**2 + 0 + s*x**4 + i*x = 0.
0, 1, 5
Let t(u) be the first derivative of -11/2*u**2 + 56/5*u - 1/15*u**3 + 309. Factor t(g).
-(g - 1)*(g + 56)/5
Let u be (-5)/(350/40) - 31/(-42). Let x be ((-65)/30 - -2)*-2. Suppose 1/2*b - x - u*b**2 = 0. Calculate b.
1, 2
Let f = 1471699/8904 - -5/8904. Let s = f + -165. Find b such that 16/7*b + 8/7 - 4/7*b**3 - s*b**4 + 6/7*b**2 = 0.
-2, -1, 2
Let k = -79488/43 + 318855/172. Let k*r + 7/2*r**2 - 9 + 1/4*r**3 = 0. What is r?
-12, -3, 1
Let o(w) = -2*w + 2. Let u(z) = z**3 - 9*z**2 + 24*z + 2. Let b(n) = 6*o(n) + u(n). Let m be b(7). Determine q, given that m + 2/5*q**2 - 2/5*q = 0.
0, 1
Let k(h) = -h**4 - h**3 + 10*h**2 - 7*h + 1. Let u(d) = -d - 1. Let q(z) = -z - 7. Let m be q(-9). Let b(f) = m*k(f) + 2*u(f). Let b(x) = 0. What is x?
-4, 0, 1, 2
Let m be (-728)/12 - (-8)/12. Let r = -42 - m. Suppose r*q - 30*q**2 - q**4 - 27*q - 6*q**3 - 25*q + 3*q**4 - 12 = 0. What is q?
-1, 6
Let h(w) = 43*w**3 + 8866*w**2 + 19*w + 19. Let b(f) = -7*f**3 - 1478*f**2 - 3*f - 3. Let m(p) = 19*b(p) + 3*h(p). Factor m(r).
-4*r**2*(r + 371)
Determine l, given that -1/10*l**4 + 75/2*l**3 + 1149/10*l - 342 + 1897/10*l**2 = 0.
-3, 1, 380
Let u be (-4170)/1112*4/(-50) - 6/(-5). Factor -u*i**2 - 45/2 + 12*i.
-3*(i - 5)*(i - 3)/2
Let u = 828 + -824. Solve -12 + 106*f**2 + 12 + 97*f + 6*f**u - 166*f**3 - 43*f = 0.
-1/3, 0, 1, 27
Let m = -40274 + 40292. Let h(u) be the second derivative of 1/78*u**4 + 0*u**2 + 1/39*u**3 - m*u + 0. Factor h(l).
2*l*(l + 1)/13
Let i be 0/(12/(-8)*36/(-27)). Let g(z) be the second derivative of i - 13*z - 1/3*z**3 + 1/6*z**4 + 1/10*z**5 - z**2. Factor g(j).
2*(j - 1)*(j + 1)**2
Let l(g) = -g**4 - 13*g**2 - g - 16*g**2 - 1 + 30*g**2. Let r(x) = 32*x**4 + 6*x**3 - 86*x**2 + 46*x + 22. Let f(i) = -44*l(i) - 2*r(i). Factor f(y).
-4*y*(y - 2)*(y + 3)*(5*y - 2)
Let u be (133 - 138)*(-9)/15. Let f(j) be the third derivative of 0*j + 0*j**4 + 1/2*j**u + 17*j**2 - 1/20*j**5 + 0. Factor f(l).
-3*(l - 1)*(l + 1)
Let d = 783 + -791. Let g be 4/d - ((-3)/6 - 0). What is x in 3/2*x**3 + g*x**2 + 9/2*x**4 + 0*x + 0 - 6*x**5 = 0?
-1/4, 0, 1
Let n(q) be the third derivative of -q**6/96 - q**5/4 + 5*q**4/96 + 5*q**3/2 + 1893*q**2. Factor n(p).
-5*(p - 1)*(p + 1)*(p + 12)/4
Let v(l) = 27*l**3 - 99*l**2 + 335*l + 483. Let m(k) = 5*k**3 - 20*k**2 + 67*k + 96. Let j(t) = 33*m(t) - 6*v(t). Factor j(g).
3*(g - 18)*(g - 5)*(g + 1)
Let j(m) be the first derivative of -2 + m**4 - 5*m**4 + 3*m**4 - 30 + 6*m**2 + 8*m. Determine t so that j(t) = 0.
-1, 2
Let q(x) be the first deri