 - 64. Let k(d) = -4*o(d) - 3*z(d). Factor k(x).
-2*(x - 4)*(x - 1)*(x + 5)
Let m = 3661/36 + -850/9. Let i = 2502592 - 10010361/4. Factor -i*d**3 - 8*d - m*d**2 - 1.
-(d + 2)**2*(7*d + 1)/4
Let z(u) be the first derivative of 4*u**5/5 + 46*u**4 + 960*u**3 + 8100*u**2 + 13500*u + 5774. Find b, given that z(b) = 0.
-15, -1
Let n(v) be the third derivative of 1/8*v**3 - 7/192*v**4 + 0*v**5 - 55*v**2 + 1/960*v**6 + 0*v + 0. Suppose n(d) = 0. Calculate d.
-3, 1, 2
Let u be 72/(-351)*7818/4. Let x = 402 + u. Factor x*o + 0 - 2/13*o**2.
-2*o*(o - 7)/13
Suppose -572 = -201*o + 205*o. Let h = o + 143. Factor 216/5*c**3 + 16/5*c**2 + 972/5*c**4 + 0*c + h + 1458/5*c**5.
2*c**2*(9*c + 2)**3/5
Let j(n) be the first derivative of 71 + 25*n + 27/4*n**3 + 45/2*n**2. What is a in j(a) = 0?
-10/9
Let f(z) = -17*z**3 + 56*z**2 + 259*z + 198. Let j(w) = 279*w**3 - 897*w**2 - 4146*w - 3168. Let x(l) = -33*f(l) - 2*j(l). Solve x(o) = 0 for o.
-3, -1, 22
Let p(a) = 9*a**2 + 5*a + 6. Let y(x) = -4*x**2 - 3*x - 3. Suppose -5*n = -163 + 748. Let t be n/(-36) - 5/4. Let z(d) = t*p(d) + 5*y(d). Factor z(s).
-(s + 1)*(2*s + 3)
Let w be 8 - 13 - -1*(1 + 6). Let z be 38*4/(-32)*(-20)/3. Factor -10*n + 35/3*n**3 + z*n**w + 0.
5*n*(n + 3)*(7*n - 2)/3
Suppose 12 = 31*n - 27*n. Suppose -15*a**2 - 97*a**4 - 61*a**2 + 10*a**n + 117*a**4 + 22*a**3 + 24*a = 0. Calculate a.
-3, 0, 2/5, 1
Suppose -5*t + 4 = -3*p, -3*p - 4*t + 2 = -6*t. Let w(i) be the second derivative of 1/54*i**4 + 5/9*i**p + 0 + 2/9*i**3 + 9*i. Factor w(h).
2*(h + 1)*(h + 5)/9
Determine u, given that 836/7*u**2 - 1083/7*u + 5/7*u**5 - 188/7*u**4 + 0 + 1726/7*u**3 = 0.
-1, 0, 3/5, 19
Let s(d) be the second derivative of -d**6/360 - d**5/15 - d**4/2 - 16*d**3/9 + 47*d**2/2 - 97*d. Let m(y) be the first derivative of s(y). Factor m(v).
-(v + 2)**2*(v + 8)/3
Let m(j) be the first derivative of -4/9*j + 2/27*j**3 + 1/9*j**2 - 78. Solve m(p) = 0.
-2, 1
Let x(r) = r**3 + 10*r**2 - 11*r + 44. Let o be x(-11). Let g be (-3)/(-2)*o/(-88)*-4. Suppose -27/4 - 21/4*q**2 - 3/4*q**g + 51/4*q = 0. What is q?
-9, 1
Let r(c) = -122*c**2 - c - 1. Let u(i) = 730*i**2 + 3158*i - 3144. Let x(n) = -6*r(n) - u(n). Find o such that x(o) = 0.
1, 1575
Let h be (-10)/(-55) - (-1)/110*112. Factor 19/5*d - h + 7/5*d**2.
(d + 3)*(7*d - 2)/5
Factor -6/5*q - 8/5 + 1/5*q**3 + 3/5*q**2.
(q - 2)*(q + 1)*(q + 4)/5
Let p(f) be the first derivative of -f**5/12 - 5*f**4/8 + 10*f**3/3 + 12*f**2 + 3*f + 146. Let c(t) be the second derivative of p(t). Factor c(k).
-5*(k - 1)*(k + 4)
Let a(m) be the third derivative of m**7/420 + m**6/120 - m**5/40 - m**4/6 - m**3/3 + 805*m**2. Find c, given that a(c) = 0.
-2, -1, 2
Find n such that -13 - 16*n**5 + 72*n**4 - 7518*n - 15 + 7767*n + 367*n**3 - 644*n**2 = 0.
-4, 1/4, 1, 7
Let o(v) be the second derivative of v**4/42 - 15*v**3/7 + 396*v**2/7 + 6302*v. Let o(b) = 0. Calculate b.
12, 33
Let v(c) be the first derivative of -34/27*c**3 - 80/9*c**2 - 1/18*c**4 + 173 - 128/9*c. What is l in v(l) = 0?
-8, -1
Let v = -233 + 231. Let c be v/3 + 748/510. Factor -6/5*u**3 - 12/5*u + 1/5*u**4 + 13/5*u**2 + c.
(u - 2)**2*(u - 1)**2/5
Factor 936*q + 3*q**3 + 71*q**2 + 1444 - 10*q**2 + 1729 - 149 + 32*q**2.
3*(q + 7)*(q + 12)**2
Let u be 903/43*1/(-3). Let r be 0/(-7 - (-12 - u)). Factor r - 8*t**3 + 16/3*t**2 + 0*t - 2/3*t**5 + 4*t**4.
-2*t**2*(t - 2)**3/3
Let z(c) be the second derivative of -250*c - 1/42*c**4 + 0 - 2/7*c**2 - 1/7*c**3. Suppose z(k) = 0. What is k?
-2, -1
Let g be (-657)/(-18)*5/(-2)*-4. Suppose -12*b = -175 - g. Factor -5 - 5*q**5 - 10*q**2 + 70*q**3 - b*q**3 - 35*q**3 + 15*q**4 + 15*q.
-5*(q - 1)**4*(q + 1)
Solve -4204/3*x + 2/9*x**2 + 2209202 = 0.
3153
Let y(j) = -1. Let n(u) = 4*u**2 - 20*u + 18. Suppose -6 = 3*d, -2*d = 4*a - 5*d - 14. Suppose k + k = -a. Let p(m) = k*n(m) - 2*y(m). What is o in p(o) = 0?
1, 4
Let h(p) = 28*p**2 + 1048*p - 1961. Let j(u) = 3*u**2 + 116*u - 218. Let i(n) = -4*h(n) + 38*j(n). Factor i(k).
2*(k - 2)*(k + 110)
Let t(s) be the second derivative of s**7/28 + 11*s**6/40 - 513*s**5/40 + 199*s**4/4 - 155*s**3/2 + 459*s**2/8 - 195*s - 11. Determine r, given that t(r) = 0.
-17, 1/2, 1, 9
Let x(f) be the first derivative of -f**4 + 346*f**3/3 - 256*f**2 + 170*f + 1652. Solve x(r) = 0.
1/2, 1, 85
Let q(h) be the second derivative of h**4/12 + 25*h**3/6 + 12*h**2 + 834*h. Solve q(b) = 0.
-24, -1
Suppose 0 = -11*x - 6*x - 4505. Let a = -265 - x. Factor 3/2*f**3 + 3/4*f**4 + 0*f + 0 + a*f**2.
3*f**3*(f + 2)/4
Let u(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b + 4/21*b**7 + 1/84*b**8 + 9*b**2 - 1/30*b**6 - 2 - 2/3*b**5. Find c, given that u(c) = 0.
-10, -1, 0, 1
Let q = 667012 + -5981812/9. Factor -q - 2/9*p**3 - 968/3*p - 44/3*p**2.
-2*(p + 22)**3/9
Factor 320000/7*p**2 + 2/7 + 1600/7*p.
2*(400*p + 1)**2/7
Suppose 5*g - 4*m = 473, -2*g = -16*m + 17*m - 184. Let b = 102 - g. Let -27*f + b + 29*f**2 - 8*f**2 - 3 = 0. Calculate f.
2/7, 1
Let d = -4225688 + 6025831805/1426. Let x = d - 2/713. Find z such that -z - 3/2*z**4 + 0 + x*z**5 + 3/2*z**2 + 1/2*z**3 = 0.
-1, 0, 1, 2
Factor 6*c**2 - 72 - 2/3*c**3 + 0*c.
-2*(c - 6)**2*(c + 3)/3
Let t(f) = 3*f**4 + 21*f**3 - 24*f**2 - 12*f - 6. Let y(m) = -m**3 + 77 + 2*m - 35 + m**2 - 41 - m**4. Let q(l) = -t(l) - 6*y(l). Solve q(u) = 0.
0, 2, 3
Suppose 0*o + 3*h + 24 = 3*o, 13 = o - 2*h. Solve -3*y**2 - 7*y - 2*y**2 + 48 + o*y + y**2 = 0 for y.
-4, 3
Let n(j) be the first derivative of -j**5 + 5*j**4 + 35*j**3 - 260*j**2 + 400*j - 2151. Factor n(b).
-5*(b - 4)**2*(b - 1)*(b + 5)
Solve -859 - 437 + 432*f**2 - 558*f**2 + 34*f + 3*f**3 - 871*f = 0.
-3, 48
Let o = -639429 - -639431. Find p such that 14 + 41/3*p - 1/3*p**o = 0.
-1, 42
Let 0 - 108/7*y**3 + 0*y + 10/7*y**5 + 32/7*y**2 + 66/7*y**4 = 0. What is y?
-8, 0, 2/5, 1
Find k, given that 8123*k**3 - 42*k + 4*k**2 - 8122*k**3 - 3*k**2 = 0.
-7, 0, 6
Let c = -4116 + 86437/21. Let d(v) be the first derivative of 0*v + 5/14*v**2 - 10 - c*v**3. Let d(b) = 0. Calculate b.
0, 5
Let c(d) = -10*d**2 + 38*d + 122. Let w(z) = -87*z - 1 - 92*z - z**2 - 90*z + 266*z. Let v(y) = -c(y) + 6*w(y). Determine r so that v(r) = 0.
-2, 16
Let g(u) be the third derivative of -u**7/70 + 31*u**6/40 - 69*u**5/10 + 53*u**4/2 - 52*u**3 - 11*u**2. Factor g(z).
-3*(z - 26)*(z - 2)**2*(z - 1)
Let d = -160865/8 - -482723/24. Determine y so that -d*y**2 + 61/6*y + 1/6*y**3 - 5 = 0.
1, 30
Let t(s) = -2*s**3 + 39*s**2 - 21*s + 43. Let g be t(19). Factor -11*x - 50*x**2 - g*x**3 + 87*x + 438 - 568 + 109*x.
-5*(x - 2)*(x - 1)*(x + 13)
Let -32/3 - 98/3*n**2 - 257/6*n - 1/2*n**3 = 0. What is n?
-64, -1, -1/3
Let d(w) be the third derivative of -w**9/20160 + w**7/420 - w**5/10 + 5*w**3/6 + 23*w**2 - w. Let a(k) be the third derivative of d(k). Factor a(s).
-3*s*(s - 2)*(s + 2)
Factor -82/3*w + 0 + 1/3*w**2.
w*(w - 82)/3
Let r(v) be the first derivative of 3*v**6/380 + 2*v**5/57 + 13*v**4/228 + 2*v**3/57 + 45*v**2 - 132. Let k(a) be the second derivative of r(a). Factor k(q).
2*(q + 1)**2*(9*q + 2)/19
Let k(p) be the third derivative of p**6/100 + 133*p**5/150 - 269*p**4/180 + p**3 + 1492*p**2. Factor k(l).
2*(l + 45)*(3*l - 1)**2/15
Suppose -3*w = 53 - 59. Suppose 2*n**4 - n - n - n**w - 18*n**4 + 11*n**4 + 8*n**3 = 0. Calculate n.
-2/5, 0, 1
Factor -127 + 185 - 127*k - 29*k**2 + 496*k - 706 - 4*k**2.
-3*(k - 9)*(11*k - 24)
Let g(r) be the first derivative of -27/14*r**2 - 23/28*r**4 - 16/7*r**3 + 46 - 2/7*r. Factor g(k).
-(k + 1)**2*(23*k + 2)/7
Let n(o) = o**3 + 25*o**2 + 65*o + 26. Let m be n(-22). Solve -13*i**5 + 24 + 75*i - 273*i + m*i**3 + 210*i**2 + 1 - 69*i**4 - 5*i**5 + 2 = 0.
-3, 1/6, 1
Suppose 17*v - 15*v = -4*x + 1204, 610 = 2*x - v. Suppose 27 - x = -69*j. Let 12/5*d**2 - 2/5*d - 6/5*d**j - 6/5 - 2/5*d**5 + 4/5*d**3 = 0. What is d?
-3, -1, 1
Let k = 1559870/7 - 222340. Let v = -498 + k. Determine q so that 0*q**2 - 2/7*q**4 - v*q**3 + 0 + 0*q = 0.
-2, 0
Solve 28 - 25/3*h - 1/3*h**2 = 0.
-28, 3
Let v be -2 - (-10 - -6) - -3. Solve 20*u**3 + 74635 - 2*u**v - 74635 + 16*u**2 + 2*u**4 = 0.
-2, -1, 0, 4
Let s = -98644 + 98646. Let -2/21*w**s + 2/21*w**4 + 0 + 0*w + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let 5565 - 5385 - 28*b**2 - 1164*b - 11*b**2 = 0. Calculate b.
-30, 2/13
Let a be (-21)/(-35)*(-3 + 8)/1. Let n be (a/2 