*u**5/180 + 375*u**4/8 + 307*u**3/9 - 234*u**2 - 5. Factor k(p).
-(p - 307)*(11*p + 2)/3
Let j = 25 + 71. Let m be j/(-126) - ((-15)/(-9) - 3). Solve -m*q**5 + 2/7*q**4 - 6/7*q + 0 - 2/7*q**2 + 10/7*q**3 = 0.
-1, 0, 1, 3/2
Let h be (-4459)/182*4/(-14). Determine f so that 5*f + 8*f - 6*f - 2*f + h*f - 11*f**2 - f**3 = 0.
-12, 0, 1
Factor 0*t**2 + 1091333*t**3 - 1091337*t**3 - 4*t**2 + 288*t.
-4*t*(t - 8)*(t + 9)
Let b(o) be the second derivative of 36*o**7/49 + 2*o**6/35 - 263*o**5/35 - 22*o**4/21 + 376*o**3/21 + 80*o**2/7 + 1017*o. Suppose b(a) = 0. Calculate a.
-2, -5/6, -2/9, 1, 2
Let j = 5935457/9 + -659495. Let 4/3*y - 10/9 - j*y**2 = 0. Calculate y.
1, 5
Let w = -1339 + 453. Let p = w - -891. Suppose 22/9*q**2 + 52/9*q**4 + 58/9*q**3 + 16/9*q**p - 2/9 - 2/9*q = 0. What is q?
-1, -1/2, 1/4
Let r(u) = u + 21 + 22 + 27 - 71. Let l(j) = j**2 + 2*j - 3. Let f(y) = -4*l(y) + 36*r(y). Suppose f(s) = 0. Calculate s.
1, 6
Let d(q) be the first derivative of -q**3/9 + 3*q**2 - 17*q/3 + 4847. Find f such that d(f) = 0.
1, 17
Let d(t) be the second derivative of -4 - 12/13*t**2 - 1/78*t**4 + 1/3*t**3 + 14*t. Factor d(n).
-2*(n - 12)*(n - 1)/13
Let i = 349947/15316 - -19/2188. Let 128/7*f**5 + 60/7*f**2 + 0 + 18/7*f - 46/7*f**3 - i*f**4 = 0. What is f?
-3/8, 0, 1
Let s(y) be the third derivative of y**7/1365 + y**6/260 + y**5/130 + y**4/156 + 40*y**3/3 - 38*y**2 - 1. Let n(h) be the first derivative of s(h). Factor n(f).
2*(f + 1)**2*(4*f + 1)/13
Let k(a) be the third derivative of -2*a**2 - 64/5*a**5 + 98/3*a**4 - 371/30*a**6 - 64/3*a**3 - 6*a + 0 + 14/15*a**7. Factor k(q).
4*(q - 8)*(q + 1)*(7*q - 2)**2
Let i = -706 + 708. Let h(f) = -f**4 - 3*f**3 - 2*f**2 + 34*f - 10. Let s(r) = -r**2 + r - 2. Let t(w) = i*h(w) - 22*s(w). Factor t(m).
-2*(m - 3)*(m + 1)**2*(m + 4)
Factor 0 + 68/7*v**2 + 2/7*v**3 + 528/7*v.
2*v*(v + 12)*(v + 22)/7
Suppose 3*x - 2*h = 25, 0 = 3*x + 6*h - 9*h - 24. Let -15*i**3 + i**4 - 7*i**3 + 2 + x*i**2 + 27*i**3 + 7*i = 0. Calculate i.
-2, -1
Suppose -3 - 3 = -2*d, 0 = -4*j + 5*d + 117. Let g be 1294137/11 + 6/j. Let -556*c - 2 - 14406*c**2 - 4 - 32*c - g*c**3 - 2 = 0. Calculate c.
-2/49
Let n(o) be the second derivative of o**6/15 - o**5/2 - 29*o**4/2 + 581*o**3/3 - 490*o**2 + 11713*o. Solve n(j) = 0 for j.
-10, 1, 7
Suppose 13*v - 3710 = -860*v + 131*v. Solve -106/5*w**3 - 16 - 216/5*w - 24/5*w**4 - 44*w**2 - 2/5*w**v = 0.
-5, -2, -1
Suppose -4*m - 3*g + 6 = 0, -3 = -3*m + 301*g - 304*g. Factor 2/7*t**m - 18/7*t**2 + 216/7 + 0*t.
2*(t - 6)**2*(t + 3)/7
Let q(f) be the first derivative of f**5/20 + 17*f**4/8 + 145*f**3/12 + 2125. Factor q(t).
t**2*(t + 5)*(t + 29)/4
Let u(r) be the first derivative of 15 + 1/36*r**5 - 5/9*r**4 - r**2 + 35/18*r**3 + 0*r. Let n(p) be the second derivative of u(p). Solve n(m) = 0.
1, 7
Let r = -66 - -64. Let v be r - (1 - (-528)/(-4)). Factor 65 - 6*y + 2*y**2 - v + 68.
2*(y - 2)*(y - 1)
Let h(c) be the third derivative of -c**6/600 - 181*c**5/150 + 91*c**4/15 + 21*c**2 - 17. Factor h(a).
-a*(a - 2)*(a + 364)/5
Factor 7572/5*w + 3/5*w**2 + 4777932/5.
3*(w + 1262)**2/5
Let x = 481 + -481. Let y(b) be the second derivative of -10*b + 1/12*b**7 + 0 - 1/20*b**5 + 0*b**4 + 0*b**2 - 1/12*b**6 + x*b**3. Factor y(k).
k**3*(k - 1)*(7*k + 2)/2
Solve 15*i**3 + 4*i - 2*i**4 + 7*i**3 + 15*i + 17*i + 12*i - 68*i**2 = 0 for i.
0, 1, 4, 6
Solve -6/5*f + 0 - 1/5*f**2 = 0 for f.
-6, 0
Let r(q) = -10*q**4 - 37*q**3 - 82*q**2 - 7*q. Let f(n) = -3*n**4 - 12*n**3 - 27*n**2 - 2*n. Let u(v) = 14*f(v) - 4*r(v). Factor u(x).
-2*x**2*(x + 5)**2
Let x(o) = o**3 + 29*o**2 + 53*o - 25. Let w be x(-27). Let 4*d + 12*d**2 + 2679*d**3 - 30*d**4 - 36*d**w - 2636*d**3 + 7*d**5 = 0. Calculate d.
0, 2/7, 1, 2
Factor 65*a**2 + 29/3*a**3 + 0 + 1/3*a**4 - 75*a.
a*(a - 1)*(a + 15)**2/3
Let p(d) = 35*d - 35. Let o be p(1). Suppose -88 = -152*y + 130*y. Factor -4/13*l**5 + 0*l**2 + 6/13*l**y + 0*l + o + 4/13*l**3.
-2*l**3*(l - 2)*(2*l + 1)/13
Let q be (-1504)/(-1974) + ((-156)/(-28) - 6). Find c, given that -1 + 2*c**3 + 2/3*c**2 + q*c**4 - 1/3*c**5 - 5/3*c = 0.
-1, 1, 3
Let r(a) = -29*a**2 + 2602*a + 1692625. Let b(m) = -82*m**2 + 7806*m + 5077871. Let z(d) = 6*b(d) - 17*r(d). Solve z(j) = 0.
-1301
Let n = -191557/2 + 957793/10. Suppose 0 - n*f**4 + 1/5*f**5 + 14/5*f**2 - 3/5*f**3 - 8/5*f = 0. What is f?
-2, 0, 1, 4
Suppose 200 = -157*i + 162*i. Suppose -2*y + 22*y - i = 0. Factor -u**y - 1/2*u**3 - 1/2*u + 0.
-u*(u + 1)**2/2
Let d = -145 + 103. Let k = d - -45. Find j such that 16*j - 2*j**k - 2*j**3 - 5*j**3 + 5*j**3 = 0.
-2, 0, 2
Let w(h) = -3*h**3 - 57*h**2 + 875*h - 3699. Let l(p) = 4*p**3 + 58*p**2 - 881*p + 3698. Let i(j) = -4*l(j) - 5*w(j). Factor i(d).
-(d - 23)**2*(d - 7)
Let v(z) be the second derivative of z**7/14 + 4*z**6/5 - 54*z**5/5 + 79*z**4/2 - 137*z**3/2 + 63*z**2 + 11649*z. Factor v(m).
3*(m - 3)*(m - 1)**3*(m + 14)
Let p(c) = 11*c**2 - c. Let j(o) = -4*o**3 - 29*o**2 + 175*o - 92. Let f(d) = j(d) - 5*p(d). Suppose f(x) = 0. Calculate x.
-23, 1
Let k(h) = -25*h**2 + 5 + 8*h**2 - 18*h**2 - 26*h - 4*h. Let n be (-20)/(-3)*36/8. Let f(y) = y**2 + y. Let t(c) = n*f(c) + k(c). Factor t(p).
-5*(p - 1)*(p + 1)
Let r(u) be the third derivative of u**5/15 + 7*u**4/3 - 10*u**3 + 899*u**2. Factor r(w).
4*(w - 1)*(w + 15)
Suppose -68*v = -69*v. Factor v*g**4 - 7928*g + 0*g**4 + 2*g**3 - g**5 + 7927*g.
-g*(g - 1)**2*(g + 1)**2
Suppose -6*d + 7*d + 1469 = 4*s, -1 = d. Let j = s + -364. Suppose -1/5*q**2 + 1/5*q**j + 1/5*q**4 + 0 - 1/5*q = 0. Calculate q.
-1, 0, 1
Let c(z) be the second derivative of z**5/15 - 133*z**4/9 + 1040*z**3/9 - 344*z**2 - 652*z - 1. Factor c(b).
4*(b - 129)*(b - 2)**2/3
Let m = 197 - -7. Let b = m + -1016/5. Find h, given that -3/5*h**2 + 1/5*h**3 + b + 0*h = 0.
-1, 2
Suppose -5*u + 3*u = -5*a + 402, -4*u = -4*a + 324. Determine i, given that -72*i - 31*i**2 + 54*i**2 - 27*i**2 - a + 12 = 0.
-17, -1
Let w(a) be the first derivative of -a**6/27 + 4*a**5/45 + 2*a**4/9 - 4*a**3/27 - a**2/3 + 7205. Suppose w(t) = 0. Calculate t.
-1, 0, 1, 3
Let y be ((-224)/(-48) + -6)/(208/(-312)). Suppose -4*l + 4 + 4 = 0. Factor -2/5*f**l - y*f - 6/5 + 2/5*f**3.
2*(f - 3)*(f + 1)**2/5
Let s(y) be the second derivative of 0 - 225/2*y**2 - 125*y - 11/10*y**6 + 1/14*y**7 - 95/2*y**3 + 11/2*y**4 + 9/2*y**5. Let s(u) = 0. What is u?
-1, 3, 5
Suppose 1077 = 4*h - 3*r, h + 4*r = 324 - 50. Let f = -270 + h. Determine u so that f*u**2 + 4/5*u**3 + 0 + 0*u - 2/5*u**4 - 2/5*u**5 = 0.
-2, 0, 1
Let q(n) be the third derivative of -n**6/120 - 62*n**5/15 + 42*n**4 + 56*n**2 - n - 26. Factor q(m).
-m*(m - 4)*(m + 252)
Let x(o) be the first derivative of -5*o**5 + 365*o**4 - 20080*o**3/3 - 18600*o**2 + 18000*o + 1279. Determine c, given that x(c) = 0.
-2, 2/5, 30
Let f(o) be the third derivative of -1/12*o**3 + 1/120*o**6 - 1/24*o**4 + 11*o**2 + 0*o + 0 - 1/140*o**7 + 1/30*o**5. Let f(p) = 0. What is p?
-1, -1/3, 1
Factor 3201 - 433*y**2 + 1364*y + 437*y**2 - 489.
4*(y + 2)*(y + 339)
Suppose 12/5*y**3 + 0 + 0*y - 3/5*y**4 + 36/5*y**2 = 0. Calculate y.
-2, 0, 6
Let d(z) = -4*z**3 + 187*z**2 + 1808*z + 3. Let n(r) = -35*r**3 + 1495*r**2 + 14465*r + 25. Let j(q) = -25*d(q) + 3*n(q). Factor j(f).
-5*f*(f + 19)**2
Let m(k) be the third derivative of 0 + 0*k - 1/525*k**7 - 1/2520*k**8 + 11/450*k**5 + 144*k**2 + 0*k**3 + 1/300*k**6 + 1/30*k**4. Solve m(q) = 0 for q.
-3, -1, 0, 2
Let w be ((-1262)/5048 - 2/168*23)*-7 - 2. Determine i, given that w*i**5 - 10/3*i**2 + 5/6 + 0*i + 5/2*i**4 - 5/3*i**3 = 0.
-1, 1/2, 1
Let k(f) be the second derivative of -1/4*f**5 + 15/2*f**3 + 34 - 10/3*f**4 - 2*f + 0*f**2. Factor k(i).
-5*i*(i - 1)*(i + 9)
Factor -3/2*g**3 - 18 - 15/2*g + 9*g**2.
-3*(g - 4)*(g - 3)*(g + 1)/2
Let h(l) be the third derivative of 2*l + 145*l**2 - 1/12*l**4 + 1/15*l**5 + 0 - 2/105*l**7 + 1/168*l**8 + 0*l**3 + 0*l**6. Determine z so that h(z) = 0.
-1, 0, 1
Let l(x) be the second derivative of 3/40*x**5 + 7/16*x**4 - 1/40*x**6 + 1/2*x**3 + 0*x**2 + x + 10. Solve l(o) = 0.
-1, 0, 4
Let r be -33*(-42)/441 - (-240)/24. Suppose -92/7*u**3 + r*u - 40/7 - 20/7*u**4 + 60/7*u**2 = 0. What is u?
-5, -1, 2/5, 1
Determine q so that 5*q**2 - q**2 - 532465*q - 1156 + 531313*q = 0.
-1, 289
Let p(s) be the second derivative of s**6/105 + 2*s**5/5 - 59*