t i(l) be the third derivative of 7*l**6/40 - 19*l**5/10 + 39*l**4/8 + 18*l**3 - 84*l**2 + 2. Factor i(k).
3*(k - 3)**2*(7*k + 4)
Let d(y) be the first derivative of -3*y**2/2 - 12*y - 2. Let r be d(-5). Factor -2*a**4 + 2*a**3 + 2*a**r + a**4 - 3*a**3.
-a**3*(a - 1)
Let q(n) = 3*n**5 + n**3. Let l(w) = -6*w**5. Let v(x) = 2*l(x) + 3*q(x). Factor v(z).
-3*z**3*(z - 1)*(z + 1)
Find l, given that 2*l**3 - 969 + 336*l + 1257 + 0*l**3 + 50*l**2 = 0.
-12, -1
Suppose 5*k + 18 = g, 0*k + 18 = 2*g - k. Factor -14*j + j**2 - g*j + 23*j.
j*(j + 1)
Let b = -235 + 241. Let y(i) be the first derivative of 2*i + i**2 - 2/3*i**3 + b - 1/2*i**4. Factor y(o).
-2*(o - 1)*(o + 1)**2
Let w(l) be the third derivative of -l**5/420 - 7*l**4/24 + 25*l**3/21 + l**2 + 141*l. Let w(f) = 0. What is f?
-50, 1
Let l(p) be the second derivative of 0 - 5/12*p**4 + 4*p + 5/2*p**2 + 0*p**3. Factor l(f).
-5*(f - 1)*(f + 1)
Let h(l) be the second derivative of -l**5/120 + l**3/36 - 638*l. What is z in h(z) = 0?
-1, 0, 1
Let f(z) be the third derivative of -z**5/60 - 5*z**4/8 - 13*z**3/3 + 2*z**2 - 7*z. Factor f(i).
-(i + 2)*(i + 13)
Let l = -259 + 266. Let y(s) be the third derivative of 3/70*s**l + 2*s**2 + 0 + 1/3*s**4 + 1/5*s**6 + 11/30*s**5 + 1/6*s**3 + 0*s. Factor y(i).
(i + 1)**2*(3*i + 1)**2
Let p = -462/5 - -3249/35. Let i(z) be the first derivative of p*z**2 - 2/7*z + 8/21*z**3 + 4. What is o in i(o) = 0?
-1, 1/4
Factor -228528 + 2045*i - 389*i + 109093*i**2 - 109096*i**2.
-3*(i - 276)**2
Let b(r) be the second derivative of 0*r**4 + 0 - 5/6*r**3 + 0*r**2 + r + 1/4*r**5. Factor b(p).
5*p*(p - 1)*(p + 1)
Let i(m) = 49*m**2 + 548*m + 1521. Let r(d) = -d. Let s(j) = 5*i(j) + 10*r(j). Let s(b) = 0. What is b?
-39/7
Let h(o) be the first derivative of o**3/3 - 7*o**2 + 13*o - 189. Factor h(m).
(m - 13)*(m - 1)
Let n(l) = -12*l**2 + 36*l + 76. Let z(t) = -2*t**2 + t - 1. Let f(v) = -n(v) + 4*z(v). Suppose f(i) = 0. Calculate i.
-2, 10
Find m, given that 608/7*m**2 + 40*m**3 + 4/7*m**5 + 8*m**4 + 200/7 + 580/7*m = 0.
-5, -2, -1
Factor 28/9*b + 4/3 + 8/9*b**3 + 1/9*b**4 + 23/9*b**2.
(b + 1)*(b + 2)**2*(b + 3)/9
Let f(m) be the second derivative of -6*m - 2/15*m**4 - 1/50*m**5 - 2/5*m**2 + 0 - 1/3*m**3. Factor f(q).
-2*(q + 1)**2*(q + 2)/5
Factor 25*a + 140 - 40*a - 65*a + 5*a**2.
5*(a - 14)*(a - 2)
Let y(b) = -b**3 - 6*b**2 - 6*b - 1. Let f be y(-5). Determine i, given that -2*i - 20*i**2 + 11*i**2 + 17*i**2 - f + 6*i**3 = 0.
-1, 2/3
Let u(p) = 7*p**2 + 26*p + 169. Let j(n) = -19*n**2 - 78*n - 507. Let v(h) = -3*j(h) - 8*u(h). Suppose v(w) = 0. What is w?
-13
Let t = 9849 + -9847. Factor 3/7*b**5 - 3/7*b**3 - 3/7*b**4 + 0 + 3/7*b**t + 0*b.
3*b**2*(b - 1)**2*(b + 1)/7
Let b be 357/(-51) + (-4)/(-2) + 12 + -4. Find p, given that 1/5*p**b + p + 4/5*p**2 + 2/5 = 0.
-2, -1
Let j(a) be the first derivative of -8 - 3*a + a**2 + a**3 - 2*a**2 + a**2. What is y in j(y) = 0?
-1, 1
Factor -4/13 + 2/13*p**3 - 6/13*p**2 - 10/13*p + 2/13*p**4.
2*(p - 2)*(p + 1)**3/13
Let u(j) be the second derivative of -1/30*j**6 + 3/10*j**5 - j**4 + 0*j**2 - j + 0 + 4/3*j**3. Find c, given that u(c) = 0.
0, 2
Let m(i) be the first derivative of 2*i**3/33 + 8*i**2/11 - 40*i/11 - 2. Factor m(j).
2*(j - 2)*(j + 10)/11
Let s = -62 - -66. Let d(o) be the second derivative of 4*o + 1/18*o**3 - 1/36*o**s + 0*o**2 + 0. Find z such that d(z) = 0.
0, 1
Let d(y) = 6*y**4 - 1816*y**3 + 618344*y**2 - 93576664*y + 5310475686. Let t(v) = -v**4 + v**2 - 1. Let k(z) = -d(z) - 4*t(z). Factor k(o).
-2*(o - 227)**4
Let r(s) be the first derivative of -s**4/4 - 4*s**3 - 11*s**2 - 18*s - 30. Let v be r(-10). Factor -2/7*d**v - 2/7*d**3 + 2/7 + 2/7*d.
-2*(d - 1)*(d + 1)**2/7
Suppose -s - 3*s - 8 = m, 27 = 3*m - 5*s. Factor i**3 - 5 + 2*i**3 + 12*i**m + 5.
3*i**3*(4*i + 1)
Let h(o) be the first derivative of 49*o**4 + 1400*o**3/3 - 654*o**2 + 288*o + 271. Find q such that h(q) = 0.
-8, 3/7
Let l(h) be the second derivative of h**4/18 - 13*h**3/3 + 38*h**2/3 + 299*h. Solve l(i) = 0.
1, 38
Let b(p) be the second derivative of p**7/42 + p**6/10 - 3*p**5/20 - 11*p**4/12 - p**3 - 20*p - 10. Let b(o) = 0. Calculate o.
-3, -1, 0, 2
Let o(i) be the first derivative of -i**8/16 + 8*i**7/35 - 11*i**6/40 + i**5/10 - 33*i**2/2 + 6. Let c(z) be the second derivative of o(z). Factor c(k).
-3*k**2*(k - 1)**2*(7*k - 2)
Let h be 4/(0 - -2) - (-14 + 12). Let l be -3 - (2 - (h - -1)). Factor 4/5*j**2 - 4/5 + l*j.
4*(j - 1)*(j + 1)/5
Let l(s) be the third derivative of -19*s**7/105 - 11*s**6/12 + 41*s**5/15 - 2*s**4/3 + 3*s**2 - 8. Determine h, given that l(h) = 0.
-4, 0, 2/19, 1
Let c(f) be the second derivative of -1/45*f**6 - 20*f + 0 + 0*f**2 + 0*f**3 + 1/30*f**5 + 1/9*f**4. Solve c(w) = 0 for w.
-1, 0, 2
Let i(g) = 3*g + 1. Let c be i(1). Solve -34*n**c + 37*n**4 + 5*n**3 + n**3 - 3*n**5 = 0.
-1, 0, 2
Let p = 102/11 - 601/66. Determine x so that p*x + 1/6*x**2 - 1/3 = 0.
-2, 1
Let l(y) be the second derivative of y**5/40 + 11*y**4/12 - 23*y**3/12 + y - 56. Factor l(b).
b*(b - 1)*(b + 23)/2
Let t = 17/35 - 33/140. Let j be 7/4 - 1/2. Determine d, given that 5/4*d**4 + d**5 - 3/4*d**3 + 0 - j*d**2 - t*d = 0.
-1, -1/4, 0, 1
Suppose -4*m + 10 = -9*m. Let o be 192/330 - m/(-11). Let 4/5*r + o*r**2 + 2/5 = 0. What is r?
-1
Let l be (-4)/(-30) + 4/(-60)*-43. Let j be (-4)/((-40)/l)*(-21)/(-63). Suppose -j*o**2 + 0 + 1/5*o = 0. Calculate o.
0, 2
Let p(b) be the second derivative of 1/20*b**5 + 0*b**3 + 0 - 1/12*b**4 + 2*b + 0*b**2. Factor p(z).
z**2*(z - 1)
Let i(q) be the third derivative of 1/200*q**6 + 1/8*q**4 + 0 + 1/25*q**5 + 0*q + 1/5*q**3 - 12*q**2. Suppose i(g) = 0. What is g?
-2, -1
Factor -98/17*o**3 - 32/17 + 14/17*o**2 + 80/17*o.
-2*(o + 1)*(7*o - 4)**2/17
Let c be 3 - (4/(-12) - 6/9). Find i such that 8 + 0*i**c - 8 + 9*i**2 - 9*i**4 - 3*i + 3*i**3 = 0.
-1, 0, 1/3, 1
Let n = 228 - 136. Let d = n - 54. Solve -2*b**3 + d*b - 36*b - 4*b**4 + 4*b**2 + 0*b**3 = 0 for b.
-1, -1/2, 0, 1
Suppose 6*w = 8*w - 4. Find h such that 0*h**w + 10*h**2 - 2*h - 9*h**2 = 0.
0, 2
Suppose 8882 - 2750 = 6*q. Factor -q*m**2 - 16 + 50*m**2 + 637*m**3 + 821*m**3 + 216*m.
2*(9*m - 2)**3
Let o(z) be the third derivative of -z**7/315 - z**6/90 + 83*z**5/90 + 7*z**4/3 - 196*z**3 - z**2 + 103*z. Factor o(t).
-2*(t - 6)**2*(t + 7)**2/3
Let l(d) be the first derivative of d**5/210 - d**4/84 - 5*d**2/2 - 6. Let g(b) be the second derivative of l(b). Factor g(t).
2*t*(t - 1)/7
Let a = 372 + -368. Let x(h) be the third derivative of -1/90*h**5 + 1/54*h**a + 0 + 1/540*h**6 + 0*h + 0*h**3 + 5*h**2. Solve x(y) = 0 for y.
0, 1, 2
Let c(u) be the second derivative of u**5/20 + 17*u**4/12 + 9*u**3/2 - 45*u**2/2 - 32*u - 8. Find b such that c(b) = 0.
-15, -3, 1
Suppose -4*l = 4*m - 124, -2*l - 33 = -2*m + 29. Factor 24*q + 60*q**5 - 57*q**5 - 60*q**2 + 54*q**3 - m*q**4 + 10*q**4.
3*q*(q - 2)**3*(q - 1)
Let j(m) = 10*m. Let w be j(-8). Let v be (-132)/w + ((-36)/16 - -2). Suppose 4/5*y**5 - 13/5*y**4 - 11/5*y + 11/5*y**2 + 2/5 + v*y**3 = 0. Calculate y.
-1, 1/4, 1, 2
Suppose 9/4*n - 2 - 1/4*n**2 = 0. Calculate n.
1, 8
Let r(f) = 6*f**4 + 10*f**3 + 7*f**2 - 18*f + 5. Let p(w) = w**4 + 1. Let x(h) = -5*p(h) + r(h). Solve x(d) = 0 for d.
-9, -2, 0, 1
Let j = -230 + 155. Let c = j - -75. Factor c + 0*a**2 + 2/21*a**3 + 0*a.
2*a**3/21
Factor -77*l - 24*l**2 + 77*l + 134 + 128*l - 4*l**4 - 28*l**3 - 6.
-4*(l - 2)*(l + 1)*(l + 4)**2
Suppose 0 = 2*b - 0*b - 2, b = -5*j - 4. Let g be j*2/4*0. Suppose g*d - 27*d**2 + d**4 + 72*d**3 - 3*d**2 + 4*d - 57*d**4 = 0. Calculate d.
0, 2/7, 1/2
Let x(c) be the second derivative of 0*c**2 + 20*c + 0 - 1/21*c**4 + 2/7*c**3. Determine j so that x(j) = 0.
0, 3
Suppose -5*s - t + 4*t = -35, t + 17 = 3*s. Suppose o = s*x - 18, -x - 15*o - 4 = -11*o. Suppose -1/3*q**x + 0 - q**2 + q**3 + 1/3*q = 0. Calculate q.
0, 1
Let j(t) = t**2 - 1192*t - 9597. Let q be j(-8). Find i such that -92/5*i**q + 64/5*i - 16/5 + 28/5*i**5 - 4/5*i**2 + 4*i**4 = 0.
-2, -1, 2/7, 1
Let a(r) be the first derivative of r**4/2 - 12*r**2 - 32*r - 201. Factor a(s).
2*(s - 4)*(s + 2)**2
Let i(f) be the third derivative of -f**5/40 - 15*f**4/16 - 7*f**3/2 - 2*f**2 + 20. What is y in i(y) = 0?
-14, -1
Let t = -592 + 594. Let g(c) be the first derivative of 189*c**t + 1/3*c**6 - 26/5