 be y(s). Find i, given that -v*i**2 - 2*i - 10*i + 4 + 22*i - 10*i**3 = 0.
-1, -2/5, 1
Let n(m) be the first derivative of 8*m**3/33 - 243*m**2 + 1336*m/11 + 13321. Suppose n(o) = 0. Calculate o.
1/4, 668
Let n = 1509/2 - 758. Let y = n - -81/22. Determine j so that 4/11*j**3 + y*j**2 - 2/11*j + 0 = 0.
-1, 0, 1/2
Let s(f) be the third derivative of f**6/1200 + 7*f**5/300 - 43*f**4/48 + 10*f**3 + f**2 - 189*f. Let s(u) = 0. What is u?
-24, 5
Let c(m) = -31*m**2 - 142*m + 713. Let d(b) = 9*b**2 + 48*b - 237. Let l(z) = -3*c(z) - 10*d(z). Solve l(r) = 0 for r.
7, 11
Suppose -3*r + 19 = v, 0 = -5*r + v + 9 + 36. Let o be r/(-6) - -43*3/9. Factor -9*m - 8*m**3 + 15 - 15*m**2 + o*m**3 + 4*m.
5*(m - 3)*(m - 1)*(m + 1)
Let -2*j**3 - 6*j**2 + 1/5*j**5 + 3/5*j**4 + 9/5*j + 27/5 = 0. Calculate j.
-3, -1, 1, 3
Let y(g) be the third derivative of 0*g - 7/24*g**6 + 0 - 1/336*g**8 + 11/210*g**7 + 5/12*g**5 + g**2 + 0*g**3 + 0*g**4. Determine w, given that y(w) = 0.
0, 1, 5
Factor -14 - 90 + 1115*u**2 + 104 + 0*u**3 - 1080*u - 35*u**3.
-5*u*(u - 1)*(7*u - 216)
Let x = 7142 - 7140. Let w(h) be the third derivative of 0 + 0*h**4 - 1/120*h**5 - 15*h**x + 0*h**3 + 1/480*h**6 + 0*h. Find m such that w(m) = 0.
0, 2
Let k(v) be the third derivative of -v**5/10 - 313*v**4/11 + 228*v**3/11 + 1557*v**2. Let k(q) = 0. Calculate q.
-114, 2/11
Let l = 409 + -408. Factor -3*i**3 + 2*i**2 - l + 18*i**2 + 8 - 7.
-i**2*(3*i - 20)
Let o(h) be the second derivative of 77/54*h**4 + 6 + 1444/9*h**2 - 1/90*h**5 - 1520/27*h**3 + 2*h. Factor o(d).
-2*(d - 38)**2*(d - 1)/9
Let c(s) be the second derivative of s**7/84 - 21*s**6/40 + 6*s**5 + 16*s**4/3 - 31*s - 10. Factor c(l).
l**2*(l - 16)**2*(2*l + 1)/4
What is y in 0 - 2/3*y**3 + 0*y - 1/3*y**4 + 0*y**2 = 0?
-2, 0
Let v = 251265/4 - 62816. Factor 11/4*l + 3 - v*l**2.
-(l - 12)*(l + 1)/4
Let q be (-59)/((-12390)/(-360)) - (-94)/14. Let 16/7*k - 6/7*k**4 + 0 + 4/7*k**3 - 2/7*k**q + 24/7*k**2 = 0. Calculate k.
-2, -1, 0, 2
Let a be 286/(-26) + 13/((-3 - 130/(-35))/1). Factor a + 1/5*k**4 - 27/5*k**2 - 4/5*k - 6/5*k**3.
(k - 9)*(k - 1)*(k + 2)**2/5
Let a be (-14)/(-4) - (-2)/(-4). Let y be ((-3)/(-9))/(6/(-36))*(-8 + 7). Factor 4*t**2 + 0*t**2 + a - t**y - t**2 + 5*t.
(t + 1)*(2*t + 3)
Suppose 7*p + 45 = 52. Let y(x) = 20*x**3 - 48*x**2 + 16*x + 4. Let a(k) = k**4 - 2*k**3 - k**2 - k + 1. Let d(i) = p*y(i) - 4*a(i). Factor d(t).
-4*t*(t - 5)*(t - 1)**2
Let x(a) = -2*a**3 + 12*a**2 - 22*a - 75. Let h(u) = -19*u**3 + 120*u**2 - 219*u - 751. Let n(s) = 12*h(s) - 116*x(s). Factor n(d).
4*(d - 3)*(d + 2)*(d + 13)
Suppose 2*h - 2 - 6 = 0. Suppose 2*c - h = -y - 2, c = -2. Factor 13*s**2 + 5*s**2 - 8*s**4 + y*s**3 - 35*s + 65*s - 26*s.
-2*s*(s - 2)*(s + 1)*(4*s + 1)
Let z = -584 + 590. Let y - 31 + 48 + y**2 - 24 - y - z*y = 0. What is y?
-1, 7
Let b(c) = c**2 + 3*c - 5. Let h be b(2). Suppose h*v - 3*l + 4*l - 11 = 0, 6 = 2*v + 2*l. Factor -8*d**v + 11*d**2 + 2*d**2.
5*d**2
Suppose 27 = 4*y - 3*c, 32*c = 2*y + 36*c + 14. Factor 42/11*j - 16/11*j**2 - 36/11 + 2/11*j**y.
2*(j - 3)**2*(j - 2)/11
Let s = 94 - 74. Suppose -m + 26 = s. Factor -7*v**4 + 9*v**3 - 8*v**3 + m*v**4 + 2*v**2.
-v**2*(v - 2)*(v + 1)
Let o(x) = -3*x**2 - 172*x - 1235. Let z(c) = c**2 + 55*c + 412. Let m(j) = -6*o(j) - 21*z(j). Factor m(r).
-3*(r + 18)*(r + 23)
Let q(s) be the third derivative of -s**5/360 + 41*s**4/144 + 85*s**3/6 + 101*s**2 - 14*s. Factor q(g).
-(g - 51)*(g + 10)/6
Let k(m) be the second derivative of m**7/6300 + m**6/1800 - m**5/150 + 13*m**4/12 + 92*m. Let j(i) be the third derivative of k(i). Factor j(l).
2*(l - 1)*(l + 2)/5
Let j be -48*6/4*195/45. Let i be (-12)/(-138)*-1 + j/(-414). Factor 2/3*g**3 + 1/3*g**2 - 1/3*g**4 + 0 - i*g.
-g*(g - 2)*(g - 1)*(g + 1)/3
Factor -5535/4*g + 1/4*g**4 + 343/4*g**2 + 47/4*g**3 - 1458.
(g - 8)*(g + 1)*(g + 27)**2/4
Suppose -5*d + b + 2*b + 1 = 0, 3*d = -b + 9. Let z be (0 - -2) + 3 + d. Factor 172*y**2 - 29*y**3 - 324*y - 10*y**2 - z*y**3 + 21 + 3*y**4 + 222.
3*(y - 3)**4
Let a(u) be the second derivative of u**5/80 - 35*u**4/16 - u**3/6 + 105*u**2/2 + 6255*u. Solve a(j) = 0 for j.
-2, 2, 105
Let o(k) be the first derivative of k**5/5 - 1251*k**4/4 + 173889*k**3 - 72511713*k**2/2 + 817. Factor o(q).
q*(q - 417)**3
Let w(i) be the second derivative of 3*i**6/10 + 64*i**5/5 + 122*i**4/3 + 160*i**3/3 - 86*i**2 - 101*i. Let r(c) be the first derivative of w(c). Factor r(n).
4*(n + 20)*(3*n + 2)**2
Let a(s) = s**4 + 1. Let t(u) = u**4 + 2*u**3 + 16*u**2 + 14*u + 7. Let x(o) = -2*o + 94. Let h be x(45). Let d(k) = h*a(k) - t(k). Factor d(p).
(p - 3)*(p + 1)**2*(3*p + 1)
Let j(n) = 102*n - 714. Let p be j(7). Suppose -9*g - 101*g + 330 = p. Let -4/3 + 2/3*k**g - 2/3*k + 4/3*k**2 = 0. Calculate k.
-2, -1, 1
Let j(d) be the second derivative of 53*d + 0 + 1/3*d**4 - 56/3*d**3 + 0*d**2. Solve j(v) = 0 for v.
0, 28
Let g(u) = u**3 - 50*u**2 - 17*u - 1730. Let q be g(51). Determine b so that 0 + 12/5*b**3 - b**q - 4/5*b**2 + 0*b = 0.
0, 2/5, 2
Suppose -19690*n = -19548*n - 568. Let 82/7*f**2 - 32/7*f + 90/7*f**n - 8/7 + 228/7*f**3 = 0. Calculate f.
-2, -2/3, -1/5, 1/3
Let l be 6 + 0 + -13 + 2 + 6. Let v(a) = 9*a**3 - 6*a**2 + 9*a + 12. Let w(d) = -d**3 - d**2 - 2. Let c(k) = l*v(k) + 6*w(k). Let c(x) = 0. Calculate x.
0, 1, 3
Factor -125*d + 60 - 14*d**2 + 31*d - 138*d - 18*d**2.
-4*(2*d + 15)*(4*d - 1)
Let b(r) be the second derivative of -1/210*r**7 + 0*r**2 + 0*r**3 + 1/30*r**4 + 0*r**6 + 2*r - 31 + 3/100*r**5. Solve b(n) = 0 for n.
-1, 0, 2
Let i = -65279 + 65281. Determine d, given that -18/17*d**3 + 2/17*d**4 + 168/17*d + 144/17 + 4/17*d**i = 0.
-2, -1, 6
Let h(v) = 11*v**3 + 23*v**2 - 8*v. Let u(y) = 5*y**3 - 4*y + 11958 - 11958 + 11*y**2. Let w(z) = -6*h(z) + 13*u(z). Determine t, given that w(t) = 0.
0, 1, 4
Let z(v) be the third derivative of v**5/15 + 131*v**4/6 + 1016*v**3/3 - 9189*v**2. Factor z(a).
4*(a + 4)*(a + 127)
Let l(q) = 63*q**3 - 41*q**2 + 3*q + 55. Let c(r) = -64*r**3 + 38*r**2 - 4*r - 66. Let k(w) = 5*c(w) + 6*l(w). Let k(u) = 0. What is u?
-1/29, 0, 1
Let i(v) = -4*v**2 - 6*v + 16. Let c(j) = -j**2 - j. Suppose 12 = -10*k + 16*k. Let s(p) = k*c(p) - i(p). Solve s(f) = 0.
-4, 2
Let g = 52 + -43. Let z be (-3)/2*((-3)/g + -1). Factor -35*r**z + 119*r + 5*r**4 + 141*r - 230*r.
5*r*(r - 2)*(r - 1)*(r + 3)
Determine w so that -688*w**2 - 554*w**3 - 27413*w**5 + 4*w + 688*w**4 - 2171*w**5 + 30134*w**3 = 0.
-1, 0, 1/86, 1
Let b(q) be the first derivative of 3*q**5/10 - q**4/4 - 67*q**3/6 + 49*q**2/2 + 20*q - 7604. Let b(d) = 0. Calculate d.
-5, -1/3, 2, 4
Let d(y) = -y**3 - 4*y**2 - 5*y - 3. Let m be d(-3). Suppose -u = -4*w + 10, 3*w + m*u = w + 12. Factor -38*k**w - 708*k**4 + 10*k**2 + 663*k**4 + 3*k**3.
-5*k**2*(k + 1)*(9*k - 2)
Let y(w) be the first derivative of -18*w**5/65 - 1217*w**4/26 - 28692*w**3/13 - 127116*w**2/13 - 52272*w/13 - 4600. Determine m so that y(m) = 0.
-66, -3, -2/9
Let s be 30/8 + (-70)/40. Let u(i) = -7*i - 177. Let t be u(-26). Determine a, given that 2/5*a + 2/5*a**t + 0*a**4 + 0 + 0*a**s - 4/5*a**3 = 0.
-1, 0, 1
Let v(a) be the first derivative of 0*a + 35*a**3 + 27/5*a**5 - 57/2*a**4 + 161 - 9*a**2. Let v(h) = 0. What is h?
0, 2/9, 1, 3
Let m be (16 - 8) + 0 + 4836. Factor -15*d + 2421*d**2 + 2426*d**2 - m*d**2.
3*d*(d - 5)
Let n(u) be the third derivative of 0*u - 29/42*u**4 + 0 - 116*u**2 - 841/21*u**3 - 1/210*u**5. Factor n(f).
-2*(f + 29)**2/7
Let j(v) = -102*v**2 - 418*v + 47. Let k(n) = -104*n**2 - 420*n + 42. Let y(z) = -2*j(z) + 3*k(z). Solve y(a) = 0.
-4, 2/27
Suppose 0*a = 5*a + 4*w - 2, 4*w + 14 = 3*a. Suppose j - 4 = 4*s, -a*s + 13 = -4*j + 85. Factor -13*t - 10*t - j*t**3 + 8*t - 65*t**2.
-5*t*(t + 3)*(4*t + 1)
Let q(m) = 5*m**3 - 10*m**2 - 2. Let d(w) be the third derivative of w**3/6 - 150*w**2. Let r(u) = 2*d(u) + q(u). Factor r(x).
5*x**2*(x - 2)
Determine y, given that -29*y**2 + 3/4*y**5 + 27/2 + 15/4*y + 11/2*y**4 - 29/2*y**3 = 0.
-9, -1, 2/3, 3
Let v(j) be the third derivative of j**5/20 + 33*j**4/8 + 16*j**3 + 2*j**2 - 197*j + 2. Suppose v(u) = 0. What is u?
-32, -1
Let d(k) be the second derivative of k**4/30 + 64*k**3/15 + 63*k**2/5 - 3304*k. Factor d(j).
2*(j + 1)*(j + 63)/5
Find o such that 34*o**2 - 72*o + 2 - 7 + 1202*o**3 - 1201*o**3 + 5 = 0.
-