1, 3
Let t be 3/2 + 58/(-40). Let f(z) be the third derivative of 0*z + 5*z**2 + 0 + 0*z**3 + 1/8*z**4 - t*z**5. Let f(p) = 0. Calculate p.
0, 1
Let n(i) be the third derivative of i**7/42 + i**6/3 + 5*i**5/4 - 5*i**4/6 - 50*i**3/3 - 284*i**2. Factor n(c).
5*(c - 1)*(c + 2)**2*(c + 5)
Let m(x) be the second derivative of x**5/20 - 5*x**4/12 + 7*x**3/6 - 3*x**2/2 + 71*x. Find y such that m(y) = 0.
1, 3
Let y(d) = 6*d**4 + 12*d**3 - 12*d**2 - 3*d + 32. Let i(n) = n**4 + 2*n**3 + n. Let t(f) = -15*i(f) + 3*y(f). Factor t(j).
3*(j - 2)**2*(j + 2)*(j + 4)
Let i = -9/22 - -10/11. Let v(y) be the first derivative of -1/3*y**3 + 9 + 2*y - i*y**2. Factor v(p).
-(p - 1)*(p + 2)
Let m(d) be the second derivative of -1/42*d**7 + 0 - 1/6*d**3 + 0*d**4 + 1/10*d**5 - 4*d + 0*d**6 + 0*d**2. Suppose m(i) = 0. What is i?
-1, 0, 1
Let s = 49/424 - -1/106. Let q = s - -3/8. Let -q*a**2 + 1/2*a - 1/2*a**3 + 1/2 = 0. What is a?
-1, 1
Let j(y) be the first derivative of 0*y + 1/20*y**4 + 3 + 1/100*y**5 - 3/200*y**6 - 5/2*y**2 + 0*y**3. Let g(k) be the second derivative of j(k). Factor g(r).
-3*r*(r - 1)*(3*r + 2)/5
Let t(b) be the second derivative of b**7/420 + b**6/240 - b**5/120 - b**4/48 - 11*b**2/2 - 4*b. Let f(g) be the first derivative of t(g). Factor f(z).
z*(z - 1)*(z + 1)**2/2
Let k(v) be the third derivative of -v**7/120 - v**6/120 + 7*v**5/240 + v**4/24 - 295*v**2. Factor k(a).
-a*(a - 1)*(a + 1)*(7*a + 4)/4
Suppose 2*v + 224*k = 219*k - 1, k = 5*v - 11. Factor -1/2*t**v - 5*t - 25/2.
-(t + 5)**2/2
Let f(v) = -6*v**3 + 6*v**2 - 2. Let t = -32 + 28. Let q = t - -8. Let i(p) = -5*p**3 + 5*p**2 + p - 1. Let d(a) = q*f(a) - 5*i(a). Factor d(u).
(u - 3)*(u + 1)**2
Suppose 0 = -2*c - 3*c + 110. Suppose 0 = -f + 4*k + 18, 0*f + 4*k + c = 3*f. Find r such that 0*r - 1/2*r**f - 1/2*r**3 + 0 = 0.
-1, 0
Let u(o) be the first derivative of o**4/30 - 2*o**3/45 - o**2/3 - 2*o/5 + 73. Determine w, given that u(w) = 0.
-1, 3
Let p(i) be the first derivative of i**5/20 + 9*i**4/8 + 9*i**3 + 27*i**2 + 232. Factor p(b).
b*(b + 6)**3/4
Factor 4/9*v**3 - 52/9 - 157/9*v + 205/9*v**2.
(v - 1)*(v + 52)*(4*v + 1)/9
Let m(u) be the first derivative of 2*u - 1/2*u**4 - 2/3*u**3 + 13 + u**2. Factor m(b).
-2*(b - 1)*(b + 1)**2
Let h(i) = -3*i. Let p be h(-1). Suppose 88 - 86 = o. Factor 3/2*d**o + 0 - 3/4*d - 3/4*d**p.
-3*d*(d - 1)**2/4
Determine u so that -34645976/13*u - 1304/13*u**3 + 1411823522/13 + 2/13*u**4 + 318828/13*u**2 = 0.
163
Suppose 2*t + 10 = 7*t. Factor 5*u**t - 8 + 16*u + 18 - u.
5*(u + 1)*(u + 2)
Let q be (6/(-12))/((-1)/(-16)). Let w = q - -12. Factor 8 - 3*j**w - 3*j**4 - 8*j + 6*j**4 - 2*j**4 - 6*j**2 + 8*j**3.
-2*(j - 2)**2*(j - 1)*(j + 1)
Let v(y) be the first derivative of -y**5/5 + 11*y**4/4 - 26*y**3/3 + 8*y**2 - 615. Find x, given that v(x) = 0.
0, 1, 2, 8
Suppose -3*i + 1 = -11, -3*i - 86 = -o. Factor 196*m**3 - 101*m**3 - o*m**3.
-3*m**3
Let f = -1/165 - -1492/1155. Let d = -16028/7 - -2294. Let -f*t + 0 - d*t**2 - 25/7*t**3 = 0. Calculate t.
-3/5, 0
Let c(z) be the third derivative of 12*z**2 - 1/840*z**6 - 1/420*z**5 + 1/42*z**3 + 1/168*z**4 + 0 + 0*z. Solve c(s) = 0.
-1, 1
Let q(r) = 5*r**2 - 2*r - 2. Let n be q(2). Let i(o) = o - 11. Let k be i(n). Factor -39 - 2*c**2 + 39 - 6*c**k.
-2*c**2*(3*c + 1)
Let w(t) be the second derivative of 0*t**3 + 0*t**2 + 0*t**6 + 0 - 32*t + 0*t**4 + 2/21*t**7 - 4/5*t**5. Factor w(y).
4*y**3*(y - 2)*(y + 2)
Let z be (-3)/(-5) + (-51)/85. Let i(b) be the third derivative of 0*b - 1/120*b**6 - 1/3*b**3 - 1/15*b**5 + z - 5/24*b**4 - 5*b**2. Solve i(k) = 0.
-2, -1
Factor -72*m - 59*m + 12*m**3 - 13 - 71*m + 0*m**4 - m**4 + 14*m**2 + 190*m.
-(m - 13)*(m - 1)*(m + 1)**2
Let s(r) be the first derivative of -6*r**3 - 33*r**2/2 - 15*r + 122. Factor s(x).
-3*(x + 1)*(6*x + 5)
Let q(d) be the third derivative of 1/24*d**5 - 1/3*d**4 + 0 - 1/720*d**6 + 8*d - 16/9*d**3 - 3*d**2. Factor q(s).
-(s - 8)**2*(s + 1)/6
Let y(k) be the second derivative of -k**9/10584 + k**8/1176 - k**7/980 - k**6/140 + k**3 + 12*k. Let w(v) be the second derivative of y(v). Factor w(p).
-2*p**2*(p - 3)**2*(p + 1)/7
Let s = -3/70 - -59/70. Let t = 49/5 - 46/5. Factor -2/5*m**2 + 0*m**4 - 1/5*m**5 + s*m**3 - t*m + 2/5.
-(m - 1)**3*(m + 1)*(m + 2)/5
Let t(k) = 4*k**2 + 2*k - k**3 + 0*k + 9 - 13 + 0*k**2. Let o be t(3). Factor o*q**4 - 8*q**3 + 16*q**4 - 10*q**3 + 3*q**2.
3*q**2*(3*q - 1)**2
Let k be (-2)/4 + (-42)/140*-10. Let q(x) be the second derivative of -1/2*x**6 + 0*x**3 + 0 + k*x**4 - 7/4*x**5 + x + 0*x**2. Factor q(i).
-5*i**2*(i + 3)*(3*i - 2)
Let d(f) be the third derivative of -f**5/15 - f**4/2 - 4*f**3/3 + 208*f**2. Factor d(s).
-4*(s + 1)*(s + 2)
Let n(m) = -m**3 + 11*m**2 + m - 11. Let h be n(11). Factor h*c + 0*c**2 - 1/5*c**5 + 0*c**4 + 0 + 1/5*c**3.
-c**3*(c - 1)*(c + 1)/5
Let a = -29 + 32. Factor 5*d**2 - d**4 + 5*d**4 + a*d**2 + 12*d**3.
4*d**2*(d + 1)*(d + 2)
Let u = 147 + -145. Suppose 3*m - 4*q - 20 = 2*m, -u*q = m + 10. What is s in 0*s**4 + 2/11*s**5 + 0*s - 2/11*s**3 + m*s**2 + 0 = 0?
-1, 0, 1
Let w be (128/20)/(-4)*((-2000)/224)/25. Determine c so that 0*c + 4/7*c**2 + 0 + 12/7*c**4 - w*c**5 - 12/7*c**3 = 0.
0, 1
Let x(z) = -z**3 + z**2 - z + 1. Let w(g) = 3*g**3 - 2*g + 5*g + g**4 - 544*g**2 - 2 + 539*g**2. Let l(k) = -w(k) - 3*x(k). Factor l(p).
-(p - 1)**2*(p + 1)**2
Let o(a) be the first derivative of 2*a**6 - 44*a**5/5 + 8*a**4 + 16*a**3/3 - 47. Solve o(j) = 0.
-1/3, 0, 2
Let u(n) be the second derivative of -5/6*n**4 - 5/6*n**3 + 0*n**2 + 0 - 1/4*n**5 + 12*n. Factor u(b).
-5*b*(b + 1)**2
Let o(q) be the third derivative of -1/144*q**4 + 1/180*q**5 + 0 - 1/720*q**6 + 0*q**3 + 36*q**2 + 0*q. Factor o(r).
-r*(r - 1)**2/6
Let c(i) be the first derivative of -i**6/3 + 289*i**5/10 - 620*i**4 - 4717*i**3/3 - 703*i**2 + 1369*i/2 - 317. Find d such that c(d) = 0.
-1, 1/4, 37
Let z(b) = -b**3 - 13*b**2 + 12*b - 24. Let d be z(-14). Determine u, given that 106*u - 12*u**2 - 4 - 4 + 4*u**3 + 4*u**d - 126*u = 0.
-1, 2
Let q = -5/71 + 86/213. Let h(b) be the first derivative of 1/2*b**2 + 2 + q*b**3 - 2*b. Factor h(p).
(p - 1)*(p + 2)
Let n(m) be the first derivative of m**3/6 - m**2/4 - m - 150. Factor n(j).
(j - 2)*(j + 1)/2
Factor 134/3*z**2 - 26 + 46/3*z + 10/3*z**3.
2*(z + 1)*(z + 13)*(5*z - 3)/3
Factor -14*o - 9*o - 20 - 9*o + 16*o - o**2 - 20*o**3 + 21*o**3.
(o - 5)*(o + 2)**2
Factor -4784*l**2 - 24334*l**4 - 32/3 + 67712/3*l**3 + 384*l.
-2*(3*l - 2)*(23*l - 2)**3/3
Suppose 0 = -5*g - 165 + 445. Let k be (-107)/(-7) + (-16)/g. Suppose 2*t**2 + 3*t**3 + 3*t**2 + k*t + 7*t**2 + 6 = 0. What is t?
-2, -1
Let w be (-3)/(-24)*(-24)/(-18). Let y(o) be the third derivative of 2*o**2 + 0 + 1/30*o**6 - w*o**4 + 2/3*o**3 + 0*o - 1/15*o**5. Factor y(v).
4*(v - 1)**2*(v + 1)
Factor 1/7*b**2 + 4/7 + 4/7*b.
(b + 2)**2/7
Let s(i) = -i**2 - 8*i - 9. Let z be s(-6). Suppose u = -z*u. Solve -3 - 2*l**2 + u*l**2 + 5 = 0.
-1, 1
Let d(c) = -35*c**3 - 195*c**2 - 205*c - 65. Let i(n) = 2*n**3 - n - 1. Let u(b) = -d(b) + 5*i(b). Find r, given that u(r) = 0.
-3, -2/3
Let z = -37367/3 + 12457. Let z - 2/3*d - 2*d**2 = 0. Calculate d.
-1, 2/3
Let x(w) be the first derivative of -w**6/2 - 42*w**5/5 - 207*w**4/4 - 140*w**3 - 150*w**2 + 157. Suppose x(z) = 0. Calculate z.
-5, -2, 0
Let n(q) = q**2 + 4. Let r be n(0). Suppose 0 = 5*y + 4*c - 11 - 7, 2*y - 4*c + r = 0. Factor 5*p - 5*p - y*p + 2*p**3.
2*p*(p - 1)*(p + 1)
Let n(p) be the third derivative of -15*p**2 + 0*p**3 + 0*p**4 + 0 + 0*p - 1/100*p**5. Factor n(b).
-3*b**2/5
Let g(t) = -4*t**3 - 156*t**2 - 1728*t - 6284. Let k(a) = a**2 + 4*a + 1. Let x(f) = g(f) + 12*k(f). Factor x(z).
-4*(z + 8)*(z + 14)**2
Let k(g) be the third derivative of 0*g + 0 + 5/336*g**8 - 1/42*g**7 - 1/12*g**6 + 5/24*g**4 - 5/6*g**3 + 1/6*g**5 + 17*g**2. Suppose k(x) = 0. What is x?
-1, 1
Let o be (-48)/540*-9*(-1)/(-6). Let k(x) be the first derivative of -1/10*x**4 + o*x**3 + 0*x + 1/5*x**2 - 2/25*x**5 + 5. Determine i, given that k(i) = 0.
-1, 0, 1
Suppose 0 = 49*z - 53*z - 1340. Let u be (16/30)/((-134)/z). Factor 4/3*c**3 + u*c - 2*c**2 - 1/3 - 1/3*c**4.
-(c - 1)**4/3
Let m(x) be the second derivative of -x**5/40 - x**4/6 + 5*x**3/12 - 273*x. Factor m(i).
-i*(i - 1)*(i + 5)/2
Let k(f) be the first derivative of -f**8/392