ctor -24*o**z - 33*o**4 - 5*o**4 + 18*o**4 - 4*o**5.
-4*o**3*(o + 2)*(o + 3)
Let g(z) be the second derivative of -z**4/28 - 2*z**3/7 + 288*z**2/7 - 711*z. Determine r so that g(r) = 0.
-16, 12
Let y = -689 + 383. Let t = y + 1531/5. Determine c so that -1/10*c + 1/5*c**3 + 1/10 + 1/10*c**4 - t*c**2 - 1/10*c**5 = 0.
-1, 1
Let f(i) be the first derivative of 68 - 3/7*i**4 + 4/7*i**3 + 4/35*i**5 + 0*i - 2/7*i**2. Factor f(q).
4*q*(q - 1)**3/7
Suppose 31*c - 23*c - 16 = 0. Suppose -n - 5 - 9 = 4*z, -4*z = 16. Factor 8 - 15*p**2 - c + 4 + 15*p**3 + 5*p**n - 15*p.
5*(p - 1)*(p + 1)*(3*p - 2)
Let r be (3*(-1 + 0))/((-21)/154). Let q = -19 + r. Factor -11*b + 27*b**2 + 8*b**4 + 16*b**3 + 1 - 21*b**q - 20*b**3.
(b - 1)**3*(8*b - 1)
Let q(y) = -11*y**2 + 469*y - 478. Let c(v) = -8*v**2 + 468*v - 476. Let h(w) = 5*c(w) - 4*q(w). Factor h(i).
4*(i - 1)*(i + 117)
Suppose 39*a + 37 = -101*a + 41 + 416. Factor 4/7*l**a + 6/7*l**2 - 8/7*l - 8/7 - 2/7*l**4.
-2*(l - 2)**2*(l + 1)**2/7
Let t(r) = -r**3 + 33*r**2 + 13*r - 406. Let k be t(33). Let d(m) be the first derivative of k + m**4 + 16*m - 8*m**2 - 4/3*m**3. Factor d(z).
4*(z - 2)*(z - 1)*(z + 2)
Let l(b) be the third derivative of b**6/24 + 97*b**5/12 + 235*b**4/4 - 6*b**2 + 2*b - 1. Factor l(u).
5*u*(u + 3)*(u + 94)
Let v = 1827 - 861. Let h = 8710/9 - v. Factor -h*x - 32/9 - 2/9*x**2.
-2*(x + 4)**2/9
Factor -245/3*h**2 - 80*h - 5/3*h**3 + 0.
-5*h*(h + 1)*(h + 48)/3
Let a(j) be the third derivative of j**5/300 + 323*j**4/20 + 312987*j**3/10 + 3125*j**2. Find z, given that a(z) = 0.
-969
Solve -81*t - 4*t**2 - 14*t + 9*t**2 + 1389 - 1299 = 0.
1, 18
Let y(w) be the first derivative of -3/4*w**2 - 1/6*w**3 - 35 - w. Factor y(u).
-(u + 1)*(u + 2)/2
Let h = 3221 - 3221. Let a(z) be the second derivative of 0 + 2/195*z**6 + 0*z**3 - 20*z + 0*z**5 + h*z**2 + 0*z**4 + 1/273*z**7. Factor a(k).
2*k**4*(k + 2)/13
Let u be 6*(-5)/(-175) - (7 - 468/63). Suppose 0 - 4/5*t + 1/5*t**5 - t**4 + u*t**3 + t**2 = 0. Calculate t.
-1, 0, 1, 4
Let l(b) = 97*b - 1160. Let r be l(12). Let i(f) be the first derivative of 0*f + 2/5*f**5 - 4*f**2 + 12 + 1/2*f**r - 8/3*f**3. Solve i(w) = 0.
-2, -1, 0, 2
Let t(y) = -8*y + 5*y - 10 + y. Let x be t(-5). Suppose -3/5*q**3 - 3/5*q**2 + x - 1/5*q - 1/5*q**4 = 0. Calculate q.
-1, 0
Let s(t) = -2*t**2 - 2*t. Let k(c) = -61*c**2 - 8*c + 18 - 12*c + 18*c**2 + 21*c**2. Let v(r) = -k(r) + 10*s(r). Solve v(f) = 0 for f.
-3, 3
Let n be -4*4/(-48) + 4/(-12). Let x(t) be the first derivative of -3/25*t**5 + n*t + 0*t**2 + 0*t**3 - 12 + 0*t**4. Factor x(j).
-3*j**4/5
Let x(z) be the third derivative of -9*z**6/40 + 3351*z**5/20 - 557*z**4 + 742*z**3 - 77*z**2 + 9*z. Solve x(h) = 0.
2/3, 371
Let p = -1368 + 1370. Let s(d) be the first derivative of 16 + 1/6*d**p + 1/12*d**4 + 0*d + 2/9*d**3. Factor s(h).
h*(h + 1)**2/3
Let v be 467250/1602 + 2 + 33. Determine n so that -140/3*n - 5/3*n**2 - v = 0.
-14
Let d(z) = 2*z**2 - z - 6. Let m be (-1)/(4/6*3/(-6)). Let i be d(m). Solve -18 - 2*w**2 - i - w**5 + w**3 + 2*w**4 + 27 = 0 for w.
-1, 0, 1, 2
Let b(o) be the third derivative of o**5/12 + 265*o**4/4 + 42135*o**3/2 - 5*o**2 - 39. Let b(p) = 0. Calculate p.
-159
Let w(s) be the second derivative of 8/3*s**3 - 1/9*s**4 - 2 - 24*s**2 - 3*s. Let w(u) = 0. Calculate u.
6
Suppose -94111*k + 40 = -94101*k. Suppose 462/5*c**2 + 78/5*c + 666/5*c**3 + 0 - 54/5*c**k = 0. Calculate c.
-1/3, 0, 13
Suppose -570*b + 206*b = -1456. Suppose -92/5*m**2 - 32/5*m**3 - 112/5*m - 48/5 - 4/5*m**b = 0. What is m?
-3, -2, -1
Let r = -263 - -265. Determine p so that 2 - 16*p - 1466*p**2 + 0 + 1480*p**2 - 2 + r = 0.
1/7, 1
Let t be ((-1070)/57848)/(8 - 106770/13346). Let w = -1/4132 + t. Solve 16/7 + w*u**3 - 204/7*u**2 + 972/7*u**4 - 80/7*u = 0 for u.
-1, -1/3, 2/9
Let o(m) be the first derivative of -2*m**4/5 + 2*m**3/5 + 4*m**2/5 - 6*m/5 + 3529. Determine k, given that o(k) = 0.
-1, 3/4, 1
Suppose 2*s + 3*n = 806, 2032 = 5*s - 10*n + 9*n. Factor -18*l**2 - 408*l**4 - s*l**4 - 15*l**3 + 811*l**4.
-3*l**2*(l + 2)*(l + 3)
Let h be 18/24 + 203/(-224). Let c = h + 131/224. Factor 0 + c*z**2 - 15/7*z.
3*z*(z - 5)/7
Suppose -4*t + 16 = -4*v, 5*v = 6*v + 2*t + 16. Let n be v/(-12) - 136/(-153). Let -n*s**4 - 4/9*s**3 - 4/9*s + 16/9*s**2 + 8/9*s**5 - 2/9 = 0. What is s?
-1, -1/4, 1
Let u be (9/(-15))/(33/(-110)). Let m(f) be the first derivative of -35/12*f**3 + 0*f - 5/4*f**5 - 5/4*f**u - 16 - 5/24*f**6 - 45/16*f**4. Solve m(g) = 0 for g.
-2, -1, 0
Let q be ((-1)/7 - (-5)/35)/(9/9). Let y(f) be the third derivative of q*f + 1/150*f**5 + 1/30*f**4 + 9*f**2 + 0 - 1/5*f**3. Factor y(r).
2*(r - 1)*(r + 3)/5
Let m be (592/(-2220))/(12/(-27)*(-3)/(-10)). Let t = -176 - -884/5. Factor t - 1/5*j**m + 4/5*j - 1/5*j**3.
-(j - 2)*(j + 1)*(j + 2)/5
Let y(r) = -11*r**3 - r**2. Let w(n) = 38*n**3 + 392*n**2. Let d(s) = w(s) + 4*y(s). Determine l so that d(l) = 0.
0, 194/3
Let a be -1*(-10 + -5)/(-3) - -15. Let 135*c + 7*c**2 - a*c**2 - 2*c**2 = 0. What is c?
0, 27
Let p = 2/353701 - -4951788/4598113. Suppose 12/13 - p*h + 6/13*h**4 - 18/13*h**2 + 14/13*h**3 = 0. What is h?
-3, -1, 2/3, 1
Let c be ((-4)/180)/((-10)/30). Let f(p) be the first derivative of -1 + 1/30*p**4 + 4/45*p**3 - c*p**2 - 4/15*p. Let f(q) = 0. What is q?
-2, -1, 1
Let d = -3 + 6. Let q be 0/4*(-4)/(-4). Suppose q - 5/6*p**2 - 2*p**d - 1/6*p**4 + 1/3*p + 2/3*p**5 = 0. What is p?
-1, 0, 1/4, 2
Let z = -4385/6 + 22009/30. Suppose -z*j + 13/5 + 1/5*j**2 = 0. What is j?
1, 13
Let k(s) = 8*s + 107. Let i be k(-13). What is r in -18 + 3*r**2 + 27*r + 3*r**2 - 3*r**i + 3*r**2 - 9 - 6*r**2 = 0?
-3, 1, 3
Factor 717 - 2216 + 732 + 719 + 50*x - 2*x**2.
-2*(x - 24)*(x - 1)
Solve -671*g + 41*g + 861 + 310 - 2*g**3 + 66*g**2 + 179 = 0 for g.
3, 15
Suppose 5*o = -t + 356 - 67, -4*t - 4 = 0. Let q = o - 58. Determine d so that -15 + 2*d**3 - 6*d**3 + 5*d + q*d**3 + 15*d**2 - d**3 = 0.
-1, 1, 3
Let d be -1 + 18 - (-472)/(-28). Let g be 1/2*(0 + 8). Find l, given that 0*l + 1/7*l**5 + 0 - 5/7*l**3 - 3/7*l**2 - d*l**g = 0.
-1, 0, 3
Let p(c) = c**2 - c - 8. Let u be p(4). Factor 5*a**3 + 10 - 41*a**4 + 73*a**u + 15*a**2 - 25*a - 37*a**4.
-5*(a - 1)**3*(a + 2)
Suppose -125*u + 716 = -1534. Suppose u*y - 34*y + 2*y = 0. Solve -4/15*a + y - 2/15*a**3 + 2/5*a**2 = 0 for a.
0, 1, 2
Let m be (-7 - -1) + 4802/10 + 3. Let s = -473 + m. Find b, given that 0 + 3*b**4 + s*b**5 + 0*b + 12/5*b**2 - 48/5*b**3 = 0.
-2, 0, 2/7, 1
Let i be 7 - (-344)/(-48) - 45/(-27). Let u(w) be the second derivative of -3*w**2 - 3/20*w**5 + 14*w + 0 + i*w**3 + 0*w**4. What is j in u(j) = 0?
-2, 1
Let d(h) = 25*h**4 - 258*h**3 + 491*h**2 + 948*h - 1944. Let g(y) = 7*y**4 - 85*y**3 + 164*y**2 + 316*y - 648. Let c(z) = -6*d(z) + 21*g(z). Factor c(v).
-3*(v - 2)**2*(v + 2)*(v + 81)
Suppose 0*y**2 - 69/7*y**3 + 0*y - 1/7*y**4 + 0 = 0. Calculate y.
-69, 0
Let p(f) be the second derivative of 835*f**4/8 + f**3/4 + 5879*f. Determine d so that p(d) = 0.
-1/835, 0
Suppose 0 + 3362*j**2 + 1/4*j**5 + 0*j - 37/2*j**4 + 1025/4*j**3 = 0. What is j?
-8, 0, 41
Find h, given that -h**3 - 254*h - 39 + 357*h - 32*h**2 - 31 = 0.
-35, 1, 2
Let a(d) be the third derivative of d**8/2352 - d**7/1470 - d**6/280 + d**5/84 - d**4/84 + 2*d**2 + 376. Factor a(j).
j*(j - 1)**3*(j + 2)/7
Let o = 1009247/3 + -336413. Suppose 2/3*v**2 + 8/3 + o*v = 0. What is v?
-2
Suppose 373 - 93 = 14*t. Suppose -t*p + 25*p = -5*w + 35, 3*w + 4*p - 26 = 0. Factor r - 1/5*r**w - 3/5 - 1/5*r**3.
-(r - 1)**2*(r + 3)/5
Determine b so that 9/7*b**3 + 1/7*b**4 + 0*b + 22/7*b**2 - 32/7 = 0.
-4, -2, 1
Let q(l) = 11*l**4 - 78*l**3 + 822*l**2 - 2490*l + 2481. Let v(g) = 2*g**4 + g**3 + 2*g**2 - g - 5. Let c(j) = -q(j) + 6*v(j). Determine p so that c(p) = 0.
-93, 3
Let q(a) = -235*a**3 - 320*a**2 - 210*a + 265. Let t(v) = -22*v**3 - 29*v**2 - 19*v + 24. Let j(p) = 6*q(p) - 65*t(p). Factor j(z).
5*(z - 2)*(z + 1)*(4*z - 3)
Let c(n) be the second derivative of -n**6/15 - 9*n**5/10 - 3*n**4/2 + 27*n**3 + 162*n**2 - 2788*n. Factor c(k).
-2*(k - 3)*(k + 3)**2*(k + 6)
Let i(v) be the second derivative of -69*v**5/55 + 587*v**4/66 - 142*v**3/33 + 8*v**2/11 + 3*v - 1220. Find p, given that i(p) = 0.
2/23, 1/6, 4
Solve -900 - 3/2*c**2 - 609/2*c = 0 for c.
-200, -3
Let x be (-16)/40*-601 + 0 +