ve of -12 + 2/3*u**j - 2*u**2 + 2*u. Factor b(d).
2*(d - 1)**2
Let x be (-1000)/(-3600)*48/15. Factor 2/9*s**2 - x + 2/9*s**3 - 8/9*s.
2*(s - 2)*(s + 1)*(s + 2)/9
Let b(a) be the second derivative of -4/13*a**2 + 16 - 1/39*a**4 + 7/39*a**3 + 2*a - 1/130*a**5. Solve b(q) = 0 for q.
-4, 1
Let n(c) be the third derivative of 6*c**2 - 3*c + 7/24*c**6 - 1/14*c**7 + 0*c**5 - 5/6*c**4 + 0 + 0*c**3. Factor n(f).
-5*f*(f - 2)*(f - 1)*(3*f + 2)
Let y(p) be the second derivative of -3*p**2 - 15/4*p**4 + 3*p + 0 + 17/2*p**3. Find n such that y(n) = 0.
2/15, 1
Let x be 66/8 - ((-102)/24)/(-17). Factor -c**2 + 24*c + 9 + x*c**2 + 36 - 4*c**2.
3*(c + 3)*(c + 5)
Let u be (-446)/3 - 1/((-1)/3). Let v = u + 148. Factor -v*j**2 - 4*j**3 - 1/3*j + 0.
-j*(3*j + 1)*(4*j + 1)/3
Suppose 2*m + 4*d + 2 - 12 = 0, 1 = -m + 4*d. Factor -10*i + 3*i**3 + 2*i + 2*i**3 - m*i**3.
2*i*(i - 2)*(i + 2)
Let l(o) be the third derivative of 0*o**4 + 35*o**2 - 1/195*o**5 + 1/780*o**6 + 0*o - 1/2184*o**8 + 0 + 2/1365*o**7 + 0*o**3. Suppose l(c) = 0. What is c?
-1, 0, 1, 2
Suppose 0 = 64*v + 16039 - 16039. Factor 1/4*r**4 + 0*r + v + 1/8*r**3 + 0*r**2 + 1/8*r**5.
r**3*(r + 1)**2/8
Suppose 2*h + 6 = 0, f + 0 - 17 = 5*h. Suppose -f*p - 5*p = -840. What is w in 1110*w**4 - 879*w**4 + 208*w - 1316*w**3 - 32 + 1729*w**4 - p*w**2 = 0?
-2/5, 2/7, 1/2
Let z(k) be the second derivative of -k**4/90 + 107*k**3/45 + 36*k**2/5 + 2*k + 502. Factor z(n).
-2*(n - 108)*(n + 1)/15
Let r(y) be the third derivative of -y**5/180 + 149*y**4/72 - y**2 + 25*y - 63. Find u, given that r(u) = 0.
0, 149
Suppose 3*d = 4*k - 42, -d = 5*k - 5*d - 52. Let x be (-156)/k + 17 + (-38)/10. Solve -x*b**3 - 8/5*b - 4/5 - b**2 = 0 for b.
-2, -1
Let w(r) be the third derivative of r**5/12 - 7405*r**4/12 + 10966805*r**3/6 + 4173*r**2. Determine i, given that w(i) = 0.
1481
Factor 194228*s - 193638*s - 5*s**2 + 45 + 550.
-5*(s - 119)*(s + 1)
Suppose p - b = -3*b + 1, 2*p + 3*b - 4 = 0. Solve 8*w**4 + 38*w**2 - 58*w**2 + 7*w**4 - p*w**5 = 0 for w.
-1, 0, 2
Suppose -12*g = 1 - 25. Let r = 28 - 25. Factor -2*o**g + 0*o**2 - 946*o**r + 945*o**3.
-o**2*(o + 2)
Let a be (-2 + -3)*(-5 + 4). Let g = 4246/3171 + -6/1057. Find s, given that -g*s**2 - 2/3*s**a + 0*s**3 + 0 + 4/3*s**4 + 2/3*s = 0.
-1, 0, 1
Let j = -565 - -397. Let g be ((-108)/j)/((-12)/(-14)). Suppose -189/4*p**5 + g*p + 153/2*p**4 + 3/2 - 15/2*p**3 - 24*p**2 = 0. Calculate p.
-1/3, 2/7, 1
Let u(t) be the first derivative of -2*t**3/9 + 137*t**2/9 + 376*t/9 + 4570. Suppose u(v) = 0. What is v?
-4/3, 47
Let h(q) = -q**3 - 3*q**2 + 876*q + 3494. Let i be h(-4). Solve 3*w**3 + 21/2*w**2 - 3/2*w**4 + 0 + i*w = 0 for w.
-1, 0, 4
Let f(g) be the first derivative of 4/3*g**3 + 3/2*g**2 + 1/4*g**4 - 96 + 0*g. Factor f(n).
n*(n + 1)*(n + 3)
Let n(f) = f**3 + 21*f**2 + 20*f. Let g be n(-20). Suppose -2*o - l + 12 = -5*l, 2*o - 2*l - 10 = g. Factor -2*i**2 - 4/9 - 2/9*i**o + 10/9*i**3 + 14/9*i.
-2*(i - 2)*(i - 1)**3/9
Let p(l) = 21*l - 131. Let q be p(7). Let u(t) be the first derivative of 6/5*t**2 + 16/25*t**5 - 8/5*t + 64/15*t**3 + 3*t**4 - q. Let u(i) = 0. Calculate i.
-2, -1, 1/4
Suppose -175 + 2175 = 1000*p. Factor 12/11*w**p - 6/11*w - 20/11 - 2/11*w**3.
-2*(w - 5)*(w - 2)*(w + 1)/11
Let c(x) be the first derivative of 2*x**7/105 + x**6/5 + x**5/3 - 15*x**2/2 + 50. Let j(p) be the second derivative of c(p). Let j(o) = 0. What is o?
-5, -1, 0
Let n be (-7 + 95/15 - -1)*117/156. Factor n*q**3 - 1/4 + 1/4*q**2 - 1/4*q.
(q - 1)*(q + 1)**2/4
Let k(v) be the third derivative of 41/15*v**5 + 7/2*v**4 + 19/30*v**6 + 0*v**3 + v**2 - 2/105*v**7 + 0*v + 12. Let k(w) = 0. Calculate w.
-1, 0, 21
Suppose -12*j = -15*j - 4*c + 42, 3*j + 2*c - 24 = 0. Find v such that -4/15 - 2/15*v**3 + 4/15*v**j + 2/15*v = 0.
-1, 1, 2
Let w(v) = 8*v - 53*v**3 - 44*v**2 - 7 + 9*v**2 + 3 + 46*v**3. Let b(s) = -15*s**3 - 69*s**2 + 18*s - 9. Let p(m) = 4*b(m) - 9*w(m). Solve p(g) = 0 for g.
-13, 0
Factor 202/5*k**3 - 2/5*k**5 + 946*k**2 - 170368/5 - 34/5*k**4 - 3872/5*k.
-2*(k - 8)**2*(k + 11)**3/5
Suppose -263*m - 130 = 3*w - 271*m, -w + 4*m = 66. Factor 48/5*f**w + 3/5*f**3 + 144/5 + 156/5*f.
3*(f + 2)**2*(f + 12)/5
Let k(j) = 28*j + 32. Let t be k(-4). Let f = 84 + t. Let n(c) = 9*c**4 - c**2 + 4*c + 4. Let y(p) = 10*p**4 + 5*p + 5. Let h(d) = f*y(d) - 5*n(d). Factor h(q).
-5*q**2*(q - 1)*(q + 1)
Let m be 2*7/((-21)/(-6)). Suppose 0 = -2*f - m + 12. Factor -2*y**2 - 2*y**2 - y**2 + 4*y**f + y**4.
5*y**2*(y - 1)*(y + 1)
Let i(y) be the first derivative of 3*y**5/20 + 5*y**4/24 - y**3/4 - y**2/2 + 119*y + 13. Let r(a) be the first derivative of i(a). Factor r(l).
(l + 1)*(2*l + 1)*(3*l - 2)/2
Factor 1/5*g**3 + 91/5*g**2 - 91/5 - 1/5*g.
(g - 1)*(g + 1)*(g + 91)/5
Let k = 10251/5828 + -13/1457. What is j in 0 + k*j + 1/4*j**2 = 0?
-7, 0
Let j be (-628)/26 + (696 - 670). Factor 40/13*i + 18/13*i**2 + 2/13*i**3 + j.
2*(i + 1)*(i + 2)*(i + 6)/13
Let x(h) be the third derivative of -2*h**5/3 + 45*h**4/8 - 55*h**3/3 + 2*h**2 - 8. What is l in x(l) = 0?
11/8, 2
Let h be ((-1562)/(-71))/((-231)/(-6)). Find z such that h*z**2 - 4/7 - 4/7*z**3 + 4/7*z = 0.
-1, 1
Let -223/3*b + 10 - 253/3*b**2 = 0. What is b?
-1, 30/253
Suppose -7161/4*l + 5929/2 + 150*l**3 - 5281/4*l**2 - 4*l**4 = 0. Calculate l.
-2, 1, 77/4
Let u be ((-16)/6 + 3)*406/261. Let s(g) be the first derivative of -2*g - 5/3*g**2 + 1 - u*g**3 - 1/18*g**4. Factor s(k).
-2*(k + 1)*(k + 3)**2/9
Let i = 1081120 + -9730078/9. Solve -98 + 28/3*j - i*j**2 = 0.
21
Let i(l) = 4*l + 36. Suppose -6*r = -9*r - 24. Let p be i(r). Suppose -2/9*o**5 + 2/3*o**3 + 0 + 0*o**p - 4/9*o**2 + 0*o = 0. What is o?
-2, 0, 1
Suppose -27*q + 55 + 26 = 0. Suppose 0 = s - 0 - 5. Solve -15*l**q + 10*l**4 - 64 - 30*l**2 - s*l**4 + 140*l - 56 = 0 for l.
-3, 2
Factor 1 - 127/3*r - 220/3*r**2.
-(5*r + 3)*(44*r - 1)/3
Factor -10/7 + 2/7*x**3 + 10/7*x**2 - 2/7*x.
2*(x - 1)*(x + 1)*(x + 5)/7
Suppose 123*k - 72 = 79*k + 20*k. Suppose 14/3*y - 4/3*y**2 - 4/3*y**4 - 16/3*y**k + 2/3*y**5 + 8/3 = 0. What is y?
-1, 1, 4
Let f(q) be the first derivative of q**3 - 696*q**2 + 2772*q - 2241. Factor f(r).
3*(r - 462)*(r - 2)
Let c(t) be the third derivative of t**8/80640 - t**7/1260 + 7*t**6/720 + 29*t**5/30 - 20*t**2. Let n(q) be the third derivative of c(q). Solve n(i) = 0 for i.
2, 14
Let v(d) be the second derivative of -d**6/120 + 2*d**5/5 + 103*d**4/48 + 35*d**3/12 - 90*d. Let v(a) = 0. What is a?
-2, -1, 0, 35
Factor 26/5*a**2 - 14/5*a**3 - 36/5 + 6/5*a + 2/5*a**4.
2*(a - 3)**2*(a - 2)*(a + 1)/5
Let r(l) be the first derivative of -4/13*l + 1/13*l**2 - 1/26*l**4 + 4/39*l**3 - 78. Solve r(y) = 0.
-1, 1, 2
Let d(y) = 16*y**4 - 721*y**3 + 1396*y**2 + 1267*y. Let k(p) = -23*p**4 + 1083*p**3 - 2093*p**2 - 1901*p. Let t(v) = 11*d(v) + 7*k(v). Factor t(z).
5*z*(z - 21)*(z - 3)*(3*z + 2)
What is p in 203*p + 1067*p + 3*p**2 - 6*p**2 - 664*p + 2472 = 0?
-4, 206
Factor 1/7*w**2 + 38332 - 148*w.
(w - 518)**2/7
Let m(x) = -9*x**3 + 3*x**2 - 23*x - 12. Let i be m(-5). Let k = i + -1298. Determine a so that 4/7 + 8/7*a - 31/7*a**2 - k*a**3 = 0.
-1, -2/7, 2/5
Let j(i) be the second derivative of -7/6*i**3 + 1/72*i**6 + 0 - 5/6*i**4 - 4*i + 0*i**5 + 0*i**2. Let q(w) be the second derivative of j(w). Factor q(y).
5*(y - 2)*(y + 2)
Suppose 0 = 14*i - 73 - 95. Suppose -9 = -5*x - h, -7*h - 3 = -4*x - i*h. Find v, given that 2/13*v**x + 6/13*v + 4/13 = 0.
-2, -1
Factor 4000*h + 2008 + 543 - 5*h**4 - 691 + 2415*h**2 + 270*h**3.
-5*(h - 62)*(h + 1)**2*(h + 6)
Let f(q) be the second derivative of q**6/20 + 69*q**5/40 + 153*q**4/8 + 405*q**3/4 + 567*q**2/2 + 1866*q. Suppose f(k) = 0. What is k?
-14, -3
Let t(m) be the first derivative of 2*m**5/125 + 3*m**4/10 + 94*m**3/75 + 33*m**2/25 + 16. Suppose t(c) = 0. What is c?
-11, -3, -1, 0
Let i(f) = 4*f**3 + 50*f**2 + 99*f - 6. Let h(m) = m**3 - 2*m**2 - 3*m - 2. Let d(c) = 3*h(c) - i(c). Find x such that d(x) = 0.
-54, -2, 0
Factor -5*t**2 - 721*t + 88*t - 77*t.
-5*t*(t + 142)
Let y(i) be the third derivative of i**6/300 + 13*i**5/150 + 13*i**4/20 + 9*i**3/5 + 185*i**2 - 4. What is v in y(v) = 0?
-9, -3, -1
Let f(g) be the second derivative of g**6/720 - g**5/30 + 7*g**4/48 + 14*g**3/3 - 56*g. Let i(d) be the second derivative of f(d). Factor i(n).
(n - 7)*(n - 1)/2
Le