 - 1/12*s**5 - 27*s**2 + 0. Factor n(o).
-5*(o + 1)*(o + 7)
Let g(f) = -15*f**3 - 24*f**2 - 5*f + 20. Let i(y) = 41*y**3 + 70*y**2 + 14*y - 59. Let n(c) = -11*g(c) - 4*i(c). Solve n(j) = 0.
-1, 1, 16
Let g(d) = -d**3 - 15*d**2 - 48*d - 34. Let z(r) = -22*r - 16*r**2 - r**3 - 25*r + 2*r**2 + 0*r**2 - 34. Let c(a) = 6*g(a) - 5*z(a). Let c(q) = 0. Calculate q.
-17, -2, -1
Let b be (15/(-12))/(4 - 370/80). Let i(t) be the first derivative of 14 + 2/15*t**3 - 6/5*t - 2/5*t**b. Factor i(g).
2*(g - 3)*(g + 1)/5
Let k = 2167804/301 + -7202. Let z = k + 4806/1505. Factor 3/5*r**4 + 16/5 - z*r**2 + 0*r - 1/5*r**5 + 4/5*r**3.
-(r - 2)**3*(r + 1)*(r + 2)/5
Let k = 28 - 26. Solve 622 - 28*m**4 + 176*m**3 + 631 - 1317 - 384*m**k + 320*m = 0.
2/7, 2
Let i = -586550 - -586554. Factor -16/5 + 2/5*r**5 - 24/5*r + 12/5*r**i + 22/5*r**3 + 4/5*r**2.
2*(r - 1)*(r + 1)*(r + 2)**3/5
Factor 1089/4 + 3/4*q**2 + 33*q.
3*(q + 11)*(q + 33)/4
Let q(g) be the first derivative of g**3/6 - 23*g**2/2 + 152*g - 4224. Factor q(n).
(n - 38)*(n - 8)/2
Let q(u) be the second derivative of -u**4/12 + 50*u**3 + 301*u**2/2 + 8*u - 7. Solve q(n) = 0 for n.
-1, 301
Factor 1136*t - 6299 - 216*t - t**2 - 46601 - 3*t**2.
-4*(t - 115)**2
Let l(q) = 359*q - 48. Let j be l(2). Let m = j + -668. Solve -1/4*u**m + 1/4 + 1/4*u - 1/4*u**3 = 0 for u.
-1, 1
Let z(h) be the second derivative of 5/6*h**3 + 1/15*h**6 - 6/25*h**5 - 9 + 6*h + 0*h**2 - 1/210*h**7 - 1/6*h**4. Determine d, given that z(d) = 0.
-1, 0, 1, 5
Let s(b) be the first derivative of -b**4/6 + 20*b**3/9 + 13*b**2 + 1364. What is r in s(r) = 0?
-3, 0, 13
Let l be 1071/980 + (-46)/(-920). Let q(j) be the first derivative of 16 - 2/21*j**3 + l*j - 3/7*j**2. Find f such that q(f) = 0.
-4, 1
Let u(n) be the first derivative of 0*n + 2/9*n**3 + 8 + n**2. Factor u(q).
2*q*(q + 3)/3
Let w be 2/((-96)/(-19) + -5). Find k, given that 140*k + 84*k**2 + 148*k**3 - w*k**2 + 28*k**4 + 190*k**2 + 24 = 0.
-3, -1, -2/7
Factor -1/3*m**2 - 1148/3*m - 329476/3.
-(m + 574)**2/3
Let x(i) be the third derivative of i**7/294 + 19*i**6/420 + 79*i**5/420 + 11*i**4/84 - 4*i**3/7 + 35*i**2 - 12*i. Suppose x(o) = 0. What is o?
-4, -3, -1, 2/5
Let d(l) be the first derivative of -l**7/315 - l**6/75 - l**5/50 - l**4/90 - 48*l - 207. Let a(y) be the first derivative of d(y). Factor a(z).
-2*z**2*(z + 1)**3/15
Let p(r) = 32*r**3 - 1501*r**2 + 4466*r - 2909. Let n(g) = 6*g**3 - 300*g**2 + 892*g - 582. Let j(x) = 11*n(x) - 2*p(x). Factor j(k).
2*(k - 146)*(k - 2)*(k - 1)
Suppose 68 = -12*m + 128. Factor 10*c**4 + 177 + c - c**3 - 176 - 4*c**m - 5*c**2 - 2*c**4.
-(c - 1)**3*(2*c + 1)**2
Let u = -56992 - -512960/9. Factor 2/9*g**3 + 154/9*g - u*g**2 - 196/9.
2*(g - 7)**2*(g - 2)/9
Let k(w) be the second derivative of 0*w**4 + 9/20*w**5 - 1/10*w**6 + 0*w**2 - 47*w - 2*w**3 + 0. Find t, given that k(t) = 0.
-1, 0, 2
Let w(n) = -n**3 + 12*n**2 - 21*n + 25. Let q be w(10). Factor q*m - 1 + m**2 - 13*m + 2.
(m + 1)**2
Let r be -9 + 5 - -34*(40 + -6). Solve -1199 - 192*c**4 - 97 + 191*c**4 - 184*c**2 - 32*c**3 + r*c = 0.
-18, 2
Solve -44 - 4/9*i**3 - 388/9*i**2 + 788/9*i = 0.
-99, 1
Let y be (44 - 41) + 10*(-755)/1872. Let t = -15/104 - y. Solve 2/9*a**2 + t - 10/9*a = 0.
1, 4
Let u(p) be the second derivative of -p**6/60 + 2*p**5/5 - 13*p**4/24 - 5*p**3/2 + 629*p - 3. Factor u(c).
-c*(c - 15)*(c - 2)*(c + 1)/2
Let 375/4*m + 0 + 1/4*m**5 + 7/2*m**4 - 10*m**3 - 175/2*m**2 = 0. Calculate m.
-15, -5, 0, 1, 5
Solve -174*m**3 - 184*m**3 + 382*m + 548*m**3 - 188*m**3 + 384*m**2 = 0 for m.
-191, -1, 0
Let g = 1619351/6 - 271232. Let h = g + 1341. Let 7/3*r**2 + 1/3*r**3 - h*r**4 + 1/6*r**5 - 1/2*r - 3/2 = 0. Calculate r.
-1, 1, 3
Let f(m) be the third derivative of -16/3*m**4 + 0 + 1/15*m**5 + m**2 + 62/3*m**3 + 0*m. Solve f(q) = 0.
1, 31
Let w(s) be the first derivative of -s**3 - 927*s**2 - 286443*s - 668. Factor w(d).
-3*(d + 309)**2
Let f be -30*30/12*1 + 0. Let t be (46/69)/((-12)/f). Determine r, given that r + 0 - 3/2*r**3 - t*r**2 = 0.
-3, 0, 2/9
Suppose -2*s + 10 = 3*s, h - 3*s = 37. Factor -2*y**2 + 26*y + 82 - h*y - 14*y - 49*y.
-2*(y - 1)*(y + 41)
Suppose -160 - 82 = 19*f - 2*f - 138*f. Find n such that -16/9*n**f - 40/9*n - 32/9 - 2/9*n**3 = 0.
-4, -2
Let x(t) be the second derivative of -t**6/360 + 5*t**5/48 - t**4/4 + 51*t**3/2 + 201*t. Let n(g) be the second derivative of x(g). Suppose n(y) = 0. What is y?
1/2, 12
Let x(a) be the second derivative of -1/40*a**5 + 0 + 1/168*a**7 + 7/8*a**4 - 1/24*a**6 - 77*a - 21/8*a**3 + 27/8*a**2. Find t, given that x(t) = 0.
-3, 1, 3
Let c(m) = 51*m**2 + 5838 - 448*m + 917*m + 506*m + m**3. Let w(q) = -2*q**3 - 101*q**2 - 1951*q - 11678. Let f(a) = 14*c(a) + 6*w(a). Solve f(i) = 0 for i.
-18
Suppose z - d = -1, -4*z - 8 = -3*d - 2*d. Let 4*u - 4*u**z + 26*u**2 + 353 - 2*u**2 - 377 = 0. Calculate u.
-1, 1, 6
Let o(f) = 3*f**5 + 48*f**4 - 15*f**3 - 9*f**2. Let g(y) = -y**5 - 17*y**4 + 5*y**3 + 3*y**2. Let n(v) = 17*g(v) + 6*o(v). Let n(d) = 0. Calculate d.
-1, 0, 3
Factor 43*x**3 + 101*x**3 + 510*x - 3485 + 378*x + 3645 + 788*x**2.
4*(x + 4)*(4*x + 5)*(9*x + 2)
Let t(k) be the first derivative of 7*k**6/2 + 111*k**5/5 - 4191*k**4/4 - 3293*k**3 - 3423*k**2 - 1248*k - 7567. Solve t(s) = 0.
-16, -1, -2/7, 13
Let 70*y**4 + 257*y + 79*y + 49*y**2 - 285*y**3 - 5*y**5 + 204*y + 131*y**2 = 0. What is y?
-1, 0, 3, 6
Let -32*t**3 + 7528 + 6555 - 1652*t - 6664*t**2 - 11587 = 0. Calculate t.
-208, -3/4, 1/2
Suppose -6*n + 2*p = -9*n + 4, 0 = 5*n + p - 16. Let d = 1 - -197. Suppose 198 - 16*i**2 - 16*i - d - n*i**3 = 0. What is i?
-2, 0
Determine q, given that 246/5*q + 2*q**3 + 104/5*q**2 - 1/5*q**4 + 153/5 = 0.
-3, -1, 17
Let z be 1/(-2)*540/(-84). Let f = 309/70 - z. Let -f*o**3 - 3/5*o**2 + 0 + 6/5*o + 3/5*o**4 = 0. What is o?
-1, 0, 1, 2
Let v be (-24)/6 + 10/1. Let u = v - -6. Let g(r) = -r**2 - 3. Let y(q) = q - 1. Let l(x) = u*y(x) - 4*g(x). Solve l(b) = 0 for b.
-3, 0
Let p(n) be the second derivative of -69*n + 14/15*n**3 - 3/10*n**4 + 0*n**2 + 1/50*n**5 + 0. Suppose p(a) = 0. Calculate a.
0, 2, 7
Let t(c) be the second derivative of -c**4/48 + 247*c**3/24 + 31*c**2 + 4142*c. Solve t(q) = 0 for q.
-1, 248
Suppose 39*o + 195 = 1599. Let z(u) = u**2 + 47*u + 37. Let s(y) = -y. Let n(x) = o*s(x) + 4*z(x). Solve n(b) = 0.
-37, -1
Suppose 5296*k - 538*k**4 - 265*k**5 - 296*k - 1466*k**4 - 568*k**2 - 1532*k**2 + 225*k**5 - 25192*k**3 = 0. Calculate k.
-25, -1/2, 0, 2/5
Let t(n) be the second derivative of -8*n**4/9 + 472*n**3/9 - 3481*n**2/3 + 354*n + 2. Factor t(s).
-2*(4*s - 59)**2/3
Let m(c) be the second derivative of 11*c**6/60 - 13*c**5/30 - 5*c**4/3 + 4*c**3/3 + 20*c**2 + 71*c. Let w(s) be the first derivative of m(s). Factor w(i).
2*(i - 2)*(i + 1)*(11*i - 2)
Let m(t) = -33*t**2 - 4534*t - 4531. Let r(q) = 14*q**2 + 2268*q + 2266. Let k(v) = 2*m(v) + 5*r(v). Solve k(d) = 0 for d.
-567, -1
Let r = 278 + 192. Let g be 0/(-1) - (r/(-20) + 4). What is s in -6 + 15/4*s**3 - g*s - 39/4*s**2 = 0?
-1, -2/5, 4
Suppose 0*i - 2*h + 151 = 5*i, i = 5*h + 14. Let w = i - 24. Determine d, given that 3 + 12*d - 3 - 51*d**3 - 54*d**4 - 57*d**5 + 42*d**w = 0.
-2, -1, 0, 2/5
Let l(v) be the first derivative of v**6/120 + 41*v**5/20 + 1681*v**4/8 + v**3/3 + v**2 - 225. Let o(j) be the third derivative of l(j). Factor o(q).
3*(q + 41)**2
Let j(q) be the third derivative of -1/15*q**5 + 0*q - 29/6*q**3 - 37*q**2 + 0 + 25/24*q**4. Let r(h) = h - 1. Let v(z) = -j(z) + 5*r(z). Factor v(l).
4*(l - 3)*(l - 2)
Let f(g) = g**2 - 30*g + 88. Let w be f(27). Let t be 10/(-4)*w/(280/(-32)). Factor 1/2*o**t - 2*o + 3/2.
(o - 3)*(o - 1)/2
Let 7/4*a**3 + 1/4*a**2 - 5/4*a**4 + 1/4*a**5 - 2*a + 1 = 0. Calculate a.
-1, 1, 2
Let p(b) be the first derivative of 5*b**3/3 + 575*b**2/2 + 570*b + 186. Find k, given that p(k) = 0.
-114, -1
Let v(i) be the first derivative of -i**6/24 - i**5/3 - 5*i**4/6 + 2*i**3/3 - 198*i - 9. Let z(s) be the third derivative of v(s). Factor z(f).
-5*(f + 2)*(3*f + 2)
Let g(l) be the second derivative of l**9/10080 + 41*l**4/3 - 32*l + 2. Let o(r) be the third derivative of g(r). Factor o(i).
3*i**4/2
Let m(r) be the second derivative of -r**6/105 - 53*r**5/70 - 24*r**4 - 7936*r**3/21 - 20480*r**2/7 + 4162*r. Factor m(j).
-2*(j + 5)*(j + 16