 + 5279 = 0. Determine f, given that 0*f + 0 + 3/2*f**3 + 15/2*f**5 - 3*f**2 + u*f**4 = 0.
-1, 0, 2/5
Let i(l) be the first derivative of -3*l**5/70 - 19*l**4/42 - 10*l**3/7 - 8*l**2/7 + 83*l + 89. Let c(h) be the first derivative of i(h). Factor c(v).
-2*(v + 2)*(v + 4)*(3*v + 1)/7
Let m(f) = f**2 - 118*f - 528. Let b(j) = 20. Let k(a) = 6*b(a) + 3*m(a). Factor k(u).
3*(u - 122)*(u + 4)
Let o = 16026 + -16024. Let f(a) be the second derivative of -12*a - 1/4*a**3 + 7/24*a**4 + 0*a**o + 1/60*a**6 + 0 - 1/8*a**5. Factor f(b).
b*(b - 3)*(b - 1)**2/2
Let a be 2*19/(-30) + 750/45 + -15. Let t be 0 + 3 - (48/20 + -1). Solve -a*l**3 + t - 8/5*l**2 + 2/5*l = 0.
-4, -1, 1
Let a(p) be the third derivative of 0 + 7*p - 6*p**3 + 1/15*p**5 + 3*p**2 + 0*p**4. Suppose a(g) = 0. What is g?
-3, 3
Let n(r) = 2*r**3 + 127*r**2 + 65*r + 129. Let u = -1731 - -1668. Let y be n(u). Suppose -51/2*b - 105/2*b**2 - y = 0. Calculate b.
-2/7, -1/5
Let h(m) = -404*m + 3*m**3 + m**2 + 404*m - m**3 - 3*m**3. Let d(t) = -4*t**4 + 20*t**3 - 24*t**2. Let r(g) = -d(g) - 24*h(g). Factor r(b).
4*b**3*(b + 1)
Let v = 2959/1227 - 32/409. Let q(i) be the second derivative of -49/2*i**2 + 0 + v*i**3 - 1/12*i**4 + 11*i. Factor q(d).
-(d - 7)**2
Suppose -3/5*x**2 + 72/5 - 6/5*x = 0. What is x?
-6, 4
Let y(n) be the first derivative of -n**4/14 + 10*n**3/3 - 32*n**2/7 - 136*n/7 - 2181. Solve y(s) = 0 for s.
-1, 2, 34
Let p = 136 + -130. Factor 3*x**5 + 10*x**4 + 5*x**4 + p*x**4 - 6*x**4 + 9*x**2 + 21*x**3.
3*x**2*(x + 1)**2*(x + 3)
Suppose 10 = 3*j - 2. Factor 340*q**2 - 5*q**5 - 210*q**3 - 149*q**j + 31*q + 109*q**4 + 95*q**4 - 231*q.
-5*q*(q - 5)*(q - 2)**3
Let a(v) = -43*v**4 - 35*v**3 + 10*v**2 + 2*v. Let t(k) = -k + 220*k**2 - 770*k**3 + 30*k + 16*k - 945*k**4. Let l(r) = 45*a(r) - 2*t(r). Factor l(i).
-5*i**2*(i + 1)*(9*i - 2)
Let z(m) be the third derivative of 3*m**7/70 + m**6/8 - m**5/5 - m**4/2 - 126*m**2. Factor z(w).
3*w*(w - 1)*(w + 2)*(3*w + 2)
Determine v, given that 2215*v**4 + 2222*v**4 + 230*v**2 - 145*v - 5*v**5 - 170*v**3 + 35 - 4382*v**4 = 0.
1, 7
Let d be ((-4)/(-12))/(1/(-3)). Let q be (0/(-2 - -3))/d. Factor 0*y - 4*y**2 + 4*y**4 + 8*y + q*y**4 - 8*y**3.
4*y*(y - 2)*(y - 1)*(y + 1)
Suppose -2542*b + 2531*b = 0. Let s(h) be the second derivative of -3/4*h**4 + 3/20*h**5 + b - 3/2*h**2 + 3/2*h**3 + 24*h. Suppose s(o) = 0. What is o?
1
Let m be (-100)/(-12)*1464/9150. Factor -m*w - 2/3*w**2 + 16/3.
-2*(w - 2)*(w + 4)/3
Let m = -14 + 29. Suppose -14*x - 56 = -m*x. What is d in -x*d**4 - 24*d + d**3 + 2*d + 4 - 8 + 81*d**3 = 0?
-2/7, -1/4, 1
Let a = -324/23 + 2615/184. Let k(z) be the second derivative of 17*z - a*z**3 + 0 + 0*z**2 - 1/48*z**4. Factor k(d).
-d*(d + 3)/4
Let k(w) be the third derivative of -2*w**2 + 0 + 1/36*w**4 + 23*w + 0*w**3 - 1/540*w**6 + 1/135*w**5. Factor k(q).
-2*q*(q - 3)*(q + 1)/9
Let x(j) = -j**3 - 13*j**2 + j + 16. Let y be x(-13). Solve 39*p**y - 3 - 171*p**2 + 99*p**2 + 54*p - 9 - 3*p - 6*p**4 = 0.
1/2, 1, 4
Let c(y) be the third derivative of -4*y**7/105 - 671*y**6/30 - 18702*y**5/5 + 5040*y**4 + 112896*y**3 + 3*y**2 - y + 72. Let c(b) = 0. What is b?
-168, -3/2, 2
Suppose -10*p = -23 - 7. Suppose 0 = -5*j + 5*i + 45, 6*j - p*i - 11 = 7*j. Find a, given that 22/3*a**3 - 8*a**2 - 8/3*a + 0 - 14/3*a**5 + 8*a**j = 0.
-1, -2/7, 0, 1, 2
Let p(y) be the third derivative of -37*y**5/5 + 145*y**4/8 + 3*y**3/2 - 3413*y**2. Suppose p(u) = 0. What is u?
-3/148, 1
Let n(l) be the first derivative of -746068/3*l**2 - 4/15*l**5 - 6816*l**3 - 1431644/3*l - 109 - 214/3*l**4. Solve n(v) = 0.
-71, -1
Let x(u) = -u**3 + 22*u**2 - 162*u + 403. Let p be x(8). What is j in 7/3*j + 1/3*j**p - 1 - 5/3*j**2 = 0?
1, 3
Let u(s) be the first derivative of 459*s**5/20 - 231*s**4/4 + 157*s**3/4 - 3*s**2/4 + 9419. Suppose u(g) = 0. What is g?
0, 2/153, 1
Factor 10*d**3 - 50*d**3 + 238*d**2 - 48*d + 4*d**4 - 195*d**2 - 135*d**2.
4*d*(d - 12)*(d + 1)**2
Solve 23 + 105*i**2 + 25 - 37*i**2 - 32*i**2 - 4*i**4 - 12*i**3 + 92*i = 0.
-4, -1, 3
Let y be (1980/(-135))/(-11)*3. Let i be ((-6)/8)/(5/(-40)). Let 21/4*m**3 + 0 - 3/4*m**y + 0*m + i*m**2 = 0. Calculate m.
-1, 0, 8
Suppose 4*b = -4*p + 93652, 4*b - 14*p = -10*p + 93620. Factor 213628 - q**3 - b*q + 184325 - 2*q**3 + 459*q**2.
-3*(q - 51)**3
Let x(w) = w**2 + 8*w + 17. Let h be x(-5). Suppose -4*z + t = -8, -h*t = -4*t + 8. Let z*i**2 - 25*i - 2*i**2 + 30 - 9*i**2 + 3*i**2 = 0. What is i?
-6, 1
Suppose 5*a = -6*q + q - 10, -3*a = q - 2. Let v(k) = 4*k**3 - 20*k**2 + 30*k - 2. Let o(s) = s**3 - 2*s**2 - 1. Let w(z) = a*o(z) - v(z). Factor w(x).
-2*x*(x - 5)*(x - 3)
Let w(j) = 13*j**3 + 30*j**2 - 39*j - 59. Let b(y) = -4*y**3 + 2*y - 1. Let d(u) = -15*b(u) - 5*w(u). Factor d(o).
-5*(o - 2)*(o + 1)*(o + 31)
Let a(f) be the second derivative of -1/66*f**4 + 1/11*f**2 + 0*f**3 - 98*f - 2. Solve a(v) = 0.
-1, 1
Factor -24*d**3 + 41*d**3 - 201*d**2 + 60 + 58*d**3 + 380*d - 167*d**2 - 147*d**2.
5*(d - 6)*(d - 1)*(15*d + 2)
Let k(n) = 5*n**2 + 5*n. Let h be k(7). Suppose 14*l = -238 + h. Factor -6/5*z**l + 0*z**4 + 2/5*z**5 + 4/5*z**2 + 0 + 0*z.
2*z**2*(z - 1)**2*(z + 2)/5
Let d(j) be the first derivative of -j**3/3 + 301*j**2/2 - 2134. Factor d(c).
-c*(c - 301)
Factor 3960*z**2 - 18000 - 319*z**3 - 113*z**3 + 3*z**4 - 12*z**4 + 44*z**4 - 20*z**4 - 9600*z.
3*(z - 10)**3*(5*z + 6)
Let x(h) be the third derivative of h**6/1080 + 11*h**5/540 - h**4/3 - 10*h**3/3 + 6*h**2 + 17*h + 33. Factor x(o).
(o - 6)*(o + 2)*(o + 15)/9
Let u = -45 + 49. Suppose g + g - 92 = -u*z, -g = -2*z + 50. Factor 7*y**5 - 14*y**5 + 16*y**3 + z*y**2 + 3*y**5 - 2*y**4 + 2*y**5.
-2*y**2*(y - 3)*(y + 2)**2
Let v(k) = 28*k**2 - 140*k + 112. Let w(r) = -10*r**2 + 47*r - 37. Let f be (-32)/(-6)*(27/2)/9. Let y(x) = f*w(x) + 3*v(x). Factor y(z).
4*(z - 10)*(z - 1)
Let t = 3/73420 - -3377287/807620. Solve t*n - 2/11*n**2 + 48/11 = 0.
-1, 24
Let h(m) = -18*m + 4. Let q be h(0). Let 104*z**3 - 1201 + 5*z**q + 260*z**2 - 2400*z + 4081 - 4*z**3 = 0. Calculate z.
-12, 2
Solve -8/3*v**2 - 4*v**3 + 40/3 + 44/3*v = 0.
-5/3, -1, 2
Let v(r) be the second derivative of -r**4/28 - 8*r**3/7 - 6*r**2 + 2803*r. Factor v(k).
-3*(k + 2)*(k + 14)/7
Find j such that -3/4*j**2 - 1029/2*j - 2055/4 = 0.
-685, -1
Factor 8/5*n - 7/5*n**2 - 1/5*n**3 + 0.
-n*(n - 1)*(n + 8)/5
Let p = -2751 - -2756. Let f(o) be the third derivative of 0*o - 2/15*o**p + 4*o**2 - 1/168*o**8 + 0 + 0*o**3 - 1/10*o**6 + 2/3*o**4 + 1/21*o**7. Factor f(h).
-2*h*(h - 2)**3*(h + 1)
Let m(c) be the first derivative of 51*c**4/4 - 82*c**3 + 159*c**2/2 + 36*c - 2706. Factor m(u).
3*(u - 4)*(u - 1)*(17*u + 3)
Let x(g) be the first derivative of -7/2*g**2 + 8*g - 51 - 1/3*g**3. What is q in x(q) = 0?
-8, 1
Let m(v) be the third derivative of -v**6/60 + 17*v**5/2 - 7225*v**4/4 + 614125*v**3/3 - 59*v**2. Factor m(w).
-2*(w - 85)**3
Let r(t) = -3*t**2 - 41*t + 52. Let b(y) = 30*y**2 + 411*y - 519. Let j(n) = -4*b(n) - 39*r(n). Solve j(w) = 0 for w.
-16, 1
Solve 352/13 - 80/13*d**2 + 120/13*d - 2/13*d**4 - 30/13*d**3 = 0 for d.
-11, -4, -2, 2
Let q(g) be the second derivative of g**4/9 + 94*g**3/9 + 308*g**2 + 223*g + 7. Determine d so that q(d) = 0.
-33, -14
Factor -3/7*n**4 - 3627/7*n**2 + 11532/7*n + 0 + 198/7*n**3.
-3*n*(n - 31)**2*(n - 4)/7
Let g = -417 - -420. Let m be 518/(-74) - (-23)/g. Solve -4/3*k**5 - m*k**4 + 10/3*k**2 - 16/3*k + 20/3*k**3 - 8/3 = 0.
-2, -1, -1/2, 1, 2
Factor 39*m - 6447 + 3318 - 2*m**2 + 5*m**2 + 3219.
3*(m + 3)*(m + 10)
Find w such that 2/3*w**3 - 176/3 - 82/3*w**2 - 260/3*w = 0.
-2, -1, 44
Let n = 676 + -666. Let s be 143/44 + n/(-8). Solve 9/4*m**3 + 3/4*m**5 + 7/4*m**s - 11/4*m**4 + 1 - 3*m = 0.
-1, 2/3, 1, 2
Find t, given that 148/3*t**3 - 3700*t + 1/3*t**4 + 1875 + 5326/3*t**2 = 0.
-75, 1
Suppose 0*v - 124/5*v**3 - 10*v**4 + 0 + 432/5*v**2 + 2/5*v**5 = 0. What is v?
-4, 0, 2, 27
Let t(l) be the first derivative of l**3/18 + 19*l**2/3 + 425*l/2 - 6157. Find p, given that t(p) = 0.
-51, -25
Factor 807*m**2 - 54*m - 340*m**3 - 741*m**3 + 183*m**4 + 900*m**2 - 38*m**3 - 717*m**3.
3*m*(m - 9)*(m - 1)*(61*m - 2)
Let r = -302 + 132579/439. Let q = 436/1317 + r. Factor -4/3*w + 1 + q*w**2.
(w - 3)*(w - 1)/3
Let x = 2761 - 6119/2. Let d = x + 303. Factor -d*s**2 - 1/4*s**4 - 5*s - 2 - 7/4*s