 21/8*a**2 + 3/8*a**5 + 3/4*a.
3*a*(a - 2)*(a - 1)**3/8
Let r be 0 - 0 - (-19)/57. Let q(v) be the second derivative of 0 - 1/10*v**5 + 1/21*v**7 + 0*v**3 - 2/15*v**6 + 2*v + 0*v**2 + r*v**4. Solve q(w) = 0 for w.
-1, 0, 1, 2
Let l = 1030 - 144197/140. Let v(t) be the third derivative of -l*t**5 + 1/56*t**4 - 3*t**2 + 1/168*t**6 + 1/42*t**3 + 0 + 0*t. Suppose v(n) = 0. What is n?
-1/5, 1
Let k(p) be the third derivative of p**8/1120 - p**7/1260 - p**6/180 + 11*p**4/24 - 10*p**2. Let h(c) be the second derivative of k(c). Factor h(f).
2*f*(f - 1)*(3*f + 2)
Let z(k) = -5*k**2 + 6*k + 8. Let h(q) = 4*q**2 - 5*q - 6. Let j(a) = 6*h(a) + 5*z(a). Factor j(p).
-(p - 2)*(p + 2)
Let m be 22 + 0 - (0 - -2). Let x be (-1)/(-4) + (145/m - 6). Solve 3/2*j + x*j**2 + 0 = 0.
-1, 0
Let q be 4 + (-21)/(5 + -2). Let s be 0*2/(-12)*q. Factor -2/3*m**2 + 1/3*m**3 + s + 0*m.
m**2*(m - 2)/3
Let i(g) = -8*g**2 + 77*g - 320. Let u(n) = -4*n - 2. Let x be u(-1). Let q(o) = 7*o**2 - 78*o + 320. Let w(l) = x*i(l) + 3*q(l). Factor w(t).
5*(t - 8)**2
Let g(d) = -2*d**3 + 81*d**2 - 485*d - 328. Let a be g(33). Suppose -16/5*m - 2/5*m**a - 24/5 = 0. Calculate m.
-6, -2
Let j(d) be the second derivative of -d**6/24 + 11*d**5/16 - 253*d. Suppose j(l) = 0. What is l?
0, 11
Let 100/7 + 0*y - 4/7*y**2 = 0. What is y?
-5, 5
Find r such that 6*r**2 - 3/2 - 9/2*r**4 - 3*r**3 + 3*r = 0.
-1, 1/3, 1
Let o(u) be the second derivative of u**8/560 + u**7/280 - u**6/40 - u**5/8 - u**4/4 + 35*u**3/6 + 27*u. Let c(w) be the second derivative of o(w). Factor c(r).
3*(r - 2)*(r + 1)**3
Let h be (2 - 2) + (-2 - -2). Solve 7 - 3 + h - j**2 - j - 2*j = 0.
-4, 1
Let w(y) be the first derivative of -y**6/6 + y**5 - 7*y**4/4 + y**3 + 70. Factor w(j).
-j**2*(j - 3)*(j - 1)**2
Let c(l) be the second derivative of l**4/4 + 17*l**3 + 867*l**2/2 + 14*l. Factor c(u).
3*(u + 17)**2
Let z = 5 + -3. Let r be (-21)/(-4) + 4/(-16). Suppose -4*p**2 + z*p**2 - 6*p - p**2 + 2 - r = 0. What is p?
-1
Let m(y) = 7*y - 4. Let o be m(1). Factor 2 - 11*r**3 + 9*r**2 - 9*r + 1 + 8*r**o.
-3*(r - 1)**3
Suppose -25*q**2 + 161*q - 235 + 55 + 299*q = 0. What is q?
2/5, 18
Factor 4/5*n**2 - 32/5*n - 132/5.
4*(n - 11)*(n + 3)/5
Let k(d) be the first derivative of -d**4/2 + 6*d**3 - 14*d**2 + 30. Factor k(y).
-2*y*(y - 7)*(y - 2)
Let y(t) be the third derivative of t**8/1344 + t**7/840 - 11*t**6/240 + 11*t**5/60 - t**4/4 + 34*t**2. Determine q so that y(q) = 0.
-6, 0, 1, 2
Let c(m) be the third derivative of -m**8/84 + 8*m**7/105 - m**6/10 - 4*m**5/15 + 2*m**4/3 + 2*m**2 - 722. Determine t, given that c(t) = 0.
-1, 0, 1, 2
Let w(j) be the third derivative of 4/1155*j**7 - 1/132*j**6 + 0*j**3 - j**2 + 0*j**4 + 0*j + 0 + 1/165*j**5 - 1/1848*j**8. Factor w(z).
-2*z**2*(z - 2)*(z - 1)**2/11
Factor -20/11 - 14/11*d - 2/11*d**2.
-2*(d + 2)*(d + 5)/11
Let u(p) = -10*p**2 + 80*p + 350. Let t(n) = 11*n**2 - 77*n - 354. Let v(k) = -5*t(k) - 6*u(k). Factor v(b).
5*(b - 22)*(b + 3)
Let n = 150 - 135. Let p be (n*(-12)/(-18))/2. Factor 0*t + 0*t**2 - t**3 - 9/2*t**4 - 7/2*t**p + 0.
-t**3*(t + 1)*(7*t + 2)/2
Let t be (27/(-12))/(6/(-8)). Factor 8 - 4*g**t + 9*g**4 - 12*g**2 + 0*g**4 + 4*g - 10*g**4 + 5*g**4.
4*(g - 2)*(g - 1)*(g + 1)**2
Let p(f) be the first derivative of -2*f**5/25 + f**4 - 74*f**3/15 + 12*f**2 - 72*f/5 + 233. Find w, given that p(w) = 0.
2, 3
Let h = -1187 - -1187. Let v(w) be the third derivative of -w**2 + 1/60*w**4 + h + 0*w + 0*w**3 - 1/300*w**5. Factor v(c).
-c*(c - 2)/5
Let m be (-56)/40 + 7 + (-2)/(-5). Let k be m*1/4 + 140/120. Factor -2/3*h**2 - 2 - k*h.
-2*(h + 1)*(h + 3)/3
Let d(a) = 4*a**3 + 4*a**2 - 32*a + 27. Suppose 2*t + 32 = 10*t. Let i(y) = -3*y**3 - 5*y**2 + 31*y - 27. Let s(n) = t*d(n) + 5*i(n). Factor s(z).
(z - 3)**3
Let k(m) be the third derivative of -m**6/240 + 2*m**5/15 - 15*m**4/16 - 27*m**3/2 + 70*m**2 + 2. Factor k(b).
-(b - 9)**2*(b + 2)/2
Suppose -w + 72 = 7*w. Factor -p**5 + 8*p**2 - 12*p**3 - w*p + 5*p**5 + 9*p.
4*p**2*(p - 1)**2*(p + 2)
Let j(s) = 103*s**3 - 131*s**2 + 22*s + 10. Let d(x) = 517*x**3 - 655*x**2 + 111*x + 49. Let q(y) = -2*d(y) + 11*j(y). Factor q(t).
(t - 1)*(9*t + 2)*(11*t - 6)
Let b(m) = 155*m**3 + 220*m**2 + 170*m + 70. Let p(t) = 9*t**3 + 13*t**2 + 10*t + 4. Let c(j) = 2*b(j) - 35*p(j). Factor c(a).
-5*a*(a + 1)*(a + 2)
Let -2*n**5 + 52*n**4 + 113*n**4 - 166*n**4 + 15*n**3 = 0. What is n?
-3, 0, 5/2
Let z(l) be the first derivative of l**4/6 + 4*l**3/3 + l**2 - 20*l/3 + 119. Suppose z(f) = 0. Calculate f.
-5, -2, 1
Let y(b) be the third derivative of b**7/420 - b**6/240 - b**5/30 + b**4/12 - 91*b**2. Suppose y(q) = 0. Calculate q.
-2, 0, 1, 2
Let q(d) be the second derivative of -d**4/4 + d**3 + 189*d**2/2 - 211*d - 2. Factor q(h).
-3*(h - 9)*(h + 7)
Let k = -25 - -28. Suppose -2*f - 3*f + 20 = 0. Determine c, given that -3*c - 4*c + c**f + c**2 + 4*c - 2 + 3*c**k = 0.
-2, -1, 1
Factor 60*b**3 + 354*b - 454*b**2 + 3*b**4 + 664*b**2 - 144 - 483*b**2.
3*(b - 2)*(b - 1)**2*(b + 24)
Let c(h) be the first derivative of -27 + 1/12*h**3 + 0*h + 3/16*h**2 - 1/32*h**4. Factor c(r).
-r*(r - 3)*(r + 1)/8
Let c(f) = -13*f**3 - 142*f**2. Let g(o) = -16*o**3 - 142*o**2. Let j(p) = 6*c(p) - 5*g(p). Factor j(q).
2*q**2*(q - 71)
Let z(j) = -3*j - 16. Let x be z(-6). Suppose -4*u - 8 = -2*i, u + 3 = -4*i + 10. Determine w so that 0*w**x - w**i + 2*w**2 + w**2 = 0.
0
Suppose i - 2 - 1 = 0. Factor 7*v**3 - 12*v**2 - 9*v**i + 6*v**3.
4*v**2*(v - 3)
Let -54/7 - 52/7*m + 2/7*m**2 = 0. What is m?
-1, 27
Let p(k) = 4*k**3 - 5*k**2 + k. Let d(l) = -9*l**3 + 10*l**2 - l. Let t(b) = 3*d(b) + 7*p(b). Factor t(g).
g*(g - 4)*(g - 1)
Let -3/2*j**2 + 1/2*j**4 - 11/2*j - 3 + 3/2*j**3 = 0. Calculate j.
-3, -1, 2
Suppose 10 = 9*m - 8. Determine h, given that -18*h**3 - 12*h**4 + 20*h**5 - 2*h**3 + 8*h**m + 4*h**4 = 0.
-1, 0, 2/5, 1
Let h(j) be the first derivative of 1/7*j + 29 + 1/21*j**3 + 1/7*j**2. Solve h(d) = 0.
-1
Let h(u) be the third derivative of u**5/12 + 80*u**4/3 - 215*u**3/2 - 79*u**2 - u. Factor h(n).
5*(n - 1)*(n + 129)
Let y be (-3)/(-2)*8/(-12)*0. Factor -354*l**5 + 353*l**5 - 2*l**2 + 3*l**3 + y + 0.
-l**2*(l - 1)**2*(l + 2)
What is v in -2/9*v**2 + 0 + 0*v + 0*v**3 + 2/9*v**4 = 0?
-1, 0, 1
Let b = -12 + 4. Let h be 140/16 + (-2)/b. Solve 2*j**3 - h*j - 9*j**4 + 6*j**3 + 0*j**3 + 3 + 3*j**5 + 6*j**2 - 2*j**3 = 0 for j.
-1, 1
Let c(w) be the third derivative of 11*w**5/3 - 53*w**4/6 - 4*w**3/3 - 78*w**2. Factor c(z).
4*(z - 1)*(55*z + 2)
Let x be (90/(-7) - -11) + 2. Factor 3/7*z**2 + x*z**3 + 0 + 2/7*z.
z*(z + 1)*(z + 2)/7
Let a(w) = -5*w - 5. Let u be a(-5). Suppose 5*r = -u, -j - 4*j - r = -66. Solve -2*l**2 - 2*l**3 - 1 - j*l + 16*l + 3 = 0 for l.
-1, 1
Let n be -8 - 33/(-6)*2. Let s(v) be the first derivative of 1/26*v**4 - 2/39*v**n - 2/13*v**2 + 0*v + 2. Factor s(u).
2*u*(u - 2)*(u + 1)/13
Solve 4/3*o**2 + 14/9*o - 4/3 - 16/9*o**3 + 2/9*o**5 + 0*o**4 = 0 for o.
-3, -1, 1, 2
Suppose 36*h**2 - h**3 - 2*h**3 - 32*h + 432 + h**3 - 184*h = 0. What is h?
6
Suppose -223*n + 870 = 269*n - 57*n. Suppose 9/2*t**n - 3/2*t**3 + 0*t - 6 = 0. Calculate t.
-1, 2
Let k(m) = m**2 + 6*m + 7. Let v be k(-5). Let p be -4*2*1/(-2). Determine d, given that -4*d**4 - 10*d**5 - 7*d**5 + 10*d**3 + 7*d**5 + p*d**v = 0.
-1, -2/5, 0, 1
Let t(f) be the second derivative of -f**5/20 - f**3/6 - 6*f. Let s(m) = 2*m**4 + 16*m**3 + 54*m**2 + 52*m. Let c(d) = -s(d) + 2*t(d). Solve c(g) = 0 for g.
-3, 0
Let t = 13391 - 93733/7. Find r, given that 4/7*r + 44/7*r**2 - 44/7 - t*r**3 = 0.
-1, 1, 11
Determine y, given that -108*y**2 - 2*y**3 + 6*y**3 - y**3 + 490*y + 1031*y - 9*y**2 - 6591 = 0.
13
Let n(i) be the third derivative of -5*i**8/48 + 5*i**7/42 + i**6/12 + 23*i**2 - 8*i. Suppose n(y) = 0. What is y?
-2/7, 0, 1
Let r(t) be the first derivative of t**5/180 - 2*t**3/9 + 7*t**2 + 1. Let n(h) be the second derivative of r(h). Factor n(l).
(l - 2)*(l + 2)/3
Let t(i) be the second derivative of i**6/360 + i**5/40 + 4*i**3/3 + 4*i. Let v(c) be the second derivative of t(c). Factor v(r).
r*(r + 3)
Let l(a) be the third derivative of 11*a**6/15 - 173*a**5/30 - 7*a**4/6 + 8*a**3/3 + 156*a**2. Factor l(v).
2*(v - 4)*(4*v + 1)*(11*v - 2)
Let m(u) be the third derivative of -u**8/5040 + u**7/315 + u**5/10 + 8*u**2. Let