= 0. What is k?
-2, 0, 1
Let w be (960/1216)/(288/304). Suppose -23/6 + w*k**2 - 3*k = 0. Calculate k.
-1, 23/5
Suppose -48 - 2/3*y**3 + 74/3*y**2 - 68/3*y = 0. Calculate y.
-1, 2, 36
Let c(a) be the second derivative of -a**4/4 + 63*a**3/2 - 588*a**2 - 331*a - 2. Factor c(v).
-3*(v - 56)*(v - 7)
Let u(b) = 5*b**2 - 3*b + 15. Let t be u(4). Let q = t + -83. Factor 2*i - 7*i**3 + q*i + 0*i + 10*i**2 + 15*i**3.
2*i*(i + 1)*(4*i + 1)
Factor 2/5*v**3 + 0 + 46*v**2 + 228/5*v.
2*v*(v + 1)*(v + 114)/5
Let t(q) be the second derivative of -55 + 1/2*q**4 + q + 21*q**2 + 25/3*q**3 - 1/10*q**5. Factor t(o).
-2*(o - 7)*(o + 1)*(o + 3)
Let y be 248107/61924 + (1/(-1) - 3). Let x = 6801/3164 - y. Factor -x*a + 0 - 3/7*a**2.
-3*a*(a + 5)/7
Factor 1801 + 588*c**4 + 17*c**3 + 2*c**3 + 7203*c**5 - 1801 - 7*c**3.
3*c**3*(49*c + 2)**2
Let t(j) = -10*j**4 + 28*j**3 + 52*j**2 - 12*j - 44. Let q(y) = 6*y**4 - 14*y**3 - 26*y**2 + 6*y + 20. Let z(i) = 7*q(i) + 4*t(i). Factor z(r).
2*(r - 1)*(r + 2)*(r + 3)**2
Let v(q) be the second derivative of 3*q**2 + 9*q - 1/80*q**5 - 1/4*q**3 + 0 + 3/32*q**4. Let p(a) be the first derivative of v(a). Factor p(n).
-3*(n - 2)*(n - 1)/4
Let r(k) = 48*k**3 + 228*k**2 + 1035*k + 1803. Let m(z) = -3*z**3 - 3*z**2 - z + 1. Let j(t) = 12*m(t) + r(t). Factor j(h).
3*(h + 5)*(2*h + 11)**2
Let a(l) be the second derivative of -l**5/4 + 15*l**4/2 + 4259*l. Let a(f) = 0. What is f?
0, 18
Let u(h) be the second derivative of -h**4/108 - 235*h**3/54 - 233*h**2/9 + 163*h + 1. Factor u(r).
-(r + 2)*(r + 233)/9
Let 0 + 543/7*q**3 - 52/7*q - 464/7*q**2 - 676/7*q**5 + 8749/7*q**4 = 0. What is q?
-2/13, 0, 1/4, 13
Let i(j) be the second derivative of -j**4/120 + 223*j**3/5 - 447561*j**2/5 + 8687*j. Let i(l) = 0. What is l?
1338
Let f(d) = -340*d**2 - 20156*d. Let i(n) = -267*n**2 - 16125*n. Let l(x) = 11*f(x) - 14*i(x). Factor l(k).
-2*k*(k - 2017)
Let s(f) be the second derivative of 9/5*f**5 + 0*f**3 + 2/3*f**4 + 0*f**2 + 63 + 2*f. Suppose s(y) = 0. Calculate y.
-2/9, 0
Let f = -3474/91 + 578/13. Let z(v) be the first derivative of -4/21*v**3 + f*v**2 + 15 - 484/7*v. Factor z(a).
-4*(a - 11)**2/7
Let r(u) be the third derivative of 0 + 0*u + 6/5*u**3 + 7/150*u**7 + 109*u**2 - 77/300*u**6 + 11/10*u**4 + 37/300*u**5. Solve r(b) = 0.
-3/7, 2
Suppose 7*h = 320 - 285. Suppose 14*r - 51 - h = 0. Suppose 0*o + 0*o**3 + 2/5*o**5 + 0 + 0*o**2 + 2/5*o**r = 0. Calculate o.
-1, 0
Let l(v) = v**2 - 2*v - 144. Let g be l(16). Factor g*b**3 + 4*b**2 + 0*b**2 - 76*b**3.
4*b**2*(b + 1)
Let g(s) be the first derivative of -s**5 + 15*s**4 - 65*s**3 + 20*s**2 + 300*s - 11830. Solve g(t) = 0 for t.
-1, 2, 5, 6
Suppose -15*l - 176 + 251 = 0. Factor 9*f**2 + f**5 + 11*f**2 - 20*f**3 - 5*f**4 + 2*f**l + 2*f**5.
5*f**2*(f - 2)*(f - 1)*(f + 2)
Let y(m) be the first derivative of -m**4/6 - 2*m**3/3 + 143*m**2 - 6050*m/3 + 4157. Factor y(n).
-2*(n - 11)**2*(n + 25)/3
Let a(d) be the third derivative of 1/180*d**5 - 5*d**2 - 9 + 0*d - 5/24*d**4 + 2*d**3. Let a(w) = 0. Calculate w.
3, 12
Let k(w) = -72*w - 356. Let i be k(-5). Let g(v) be the third derivative of -2/15*v**3 - 1/75*v**5 - 5*v**2 + 0 + 0*v - 1/15*v**i. Factor g(o).
-4*(o + 1)**2/5
Let r = -15939/2 - -7970. Let n(b) be the third derivative of 0 + 18*b**2 - 1/15*b**5 - r*b**3 + 13/24*b**4 + 0*b. Determine f, given that n(f) = 0.
1/4, 3
Let s(m) be the first derivative of 3*m**5/5 - 7*m**4/2 - 29*m**3/3 + 14*m**2 + 12*m + 3695. Determine c so that s(c) = 0.
-2, -1/3, 1, 6
Let f(n) be the second derivative of -n**7/21 + 4*n**6/45 + n**5/30 - n**4/9 + 6*n + 203. Let f(u) = 0. Calculate u.
-2/3, 0, 1
Let i = -141 - -143. Find b such that -9*b + 3*b**i - 2*b + b - 5*b = 0.
0, 5
Suppose 5*q - 3*z - 39 = 0, 0 = -q + 2*z - 0*z + 12. Let v(s) = -20*s + 123. Let c be v(q). Factor 4/5*a**c + 6/5*a**2 + 1/5 + 4/5*a + 1/5*a**4.
(a + 1)**4/5
Let 2/15*o**2 - 616/15*o + 614/15 = 0. Calculate o.
1, 307
Let -2/7*p**4 - 2/7*p**3 + 442/7*p + 222/7*p**2 + 220/7 = 0. Calculate p.
-10, -1, 11
Let t(p) be the first derivative of 2*p**5/65 - 4*p**4/13 - 14*p**3/13 + 8*p**2/13 + 40*p/13 + 1363. Suppose t(w) = 0. What is w?
-2, -1, 1, 10
Let u(t) be the second derivative of 77*t**5/20 + 4*t**4/3 - 298*t - 1. Determine c, given that u(c) = 0.
-16/77, 0
Let u(r) be the first derivative of r**3/3 - 211*r**2/2 - 212*r + 7223. Find n such that u(n) = 0.
-1, 212
Suppose -10 = 3*f - 2*t, 17*f - 11*t + 6*t + 6 = 0. Factor 8/3*z**f + 10/3 - 17/3*z - 1/3*z**3.
-(z - 5)*(z - 2)*(z - 1)/3
Let u be 3/(-2)*368/(-69). Factor 26 - 1050 + 4*j**2 - u*j**2 + 128*j.
-4*(j - 16)**2
Let k(w) = -4*w**2 - 6*w + 1. Let t(a) = -15*a**2 - 3097*a + 3076. Let n(f) = -20*k(f) + 5*t(f). Factor n(y).
5*(y - 3072)*(y - 1)
Suppose 5*k = 4*y - 4, -27*k + 1 = y - 30*k. Let d(f) = -2*f - 1. Let l(w) = -4*w**2 - 12*w - 20. Let u(p) = y*l(p) + 4*d(p). Solve u(i) = 0 for i.
-3, -2
Let p = -51349 - -51349. Let p + 1/6*x**3 - 13/3*x - 25/6*x**2 = 0. Calculate x.
-1, 0, 26
Suppose 591 - 295*s - 95*s + 14*s + 4*s**2 - 1141 - 614 = 0. Calculate s.
-3, 97
Let w(k) be the second derivative of k**8/3360 - k**7/210 + k**6/45 + 35*k**4/12 + 54*k. Let o(v) be the third derivative of w(v). What is b in o(b) = 0?
0, 2, 4
Let j be (1/2)/((-7)/(-68 - -12)). Suppose 0 = 2*n + j*p - 6*p + 2, 0 = n - 4*p + 10. Solve -4/7 - n*v - 16/7*v**2 - 6/7*v**3 = 0.
-1, -2/3
Let u(x) be the third derivative of -x**9/15120 - 19*x**8/2520 - 361*x**7/1260 + 14*x**5/15 + 27*x**2. Let t(k) be the third derivative of u(k). Factor t(a).
-4*a*(a + 19)**2
Let f(t) be the second derivative of t**6/15 - 4*t**5/5 + 11*t**4/3 - 8*t**3 + 9*t**2 + 29*t - 8. Let f(j) = 0. Calculate j.
1, 3
Suppose 2*d + 4*v = 54, 69 = 5*d + 5*v - 61. Let p = 28 - d. Factor 35*l**4 + 240*l**2 + 52*l**p + 448*l + 256 + 37*l**4 - 68*l**4.
4*(l + 1)*(l + 4)**3
Let l = -35 + 40. Suppose -12*i + l*i = 0. Solve 14/9*h**4 + 26/9*h**2 + 2/9*h**5 + i + 10/3*h**3 + 8/9*h = 0 for h.
-4, -1, 0
Let i(r) be the second derivative of -r**6/30 - 9*r**5/20 + 77*r**4/6 - 24*r**3 + 20*r + 30. Factor i(d).
-d*(d - 8)*(d - 1)*(d + 18)
Let o = -1341923 - -1341927. Solve 44/7*y**2 - 48/7*y**3 - 2/7*y**5 - 2*y + 0 + 20/7*y**o = 0.
0, 1, 7
Factor 98/3*r**4 + 2400 - 1316/3*r**3 - 3760*r + 6098/3*r**2.
2*(r - 5)**2*(7*r - 12)**2/3
Let k(z) = z**2 + z - 2. Let l be k(-3). Determine j so that -8*j**l - 41*j**3 + 8*j**2 - 9*j**5 + 4*j + 51*j**3 - 4*j - j = 0.
-1, 0, 1/9, 1
Let f be ((-10)/(-14))/(27450/427 - 64). Factor -f*n - 1 - n**2.
-(n + 2)*(2*n + 1)/2
Let x(a) be the third derivative of -7*a**5/20 - 53*a**4/16 + 3*a**3 + 1402*a**2. Solve x(d) = 0.
-4, 3/14
Let v(b) be the second derivative of b**7/84 + 13*b**6/15 - 27*b**5/10 + b**4/12 + 107*b**3/12 - 27*b**2/2 - 806*b - 3. Factor v(f).
(f - 1)**3*(f + 1)*(f + 54)/2
Let u = 10695 + -64169/6. Let h(l) be the second derivative of -l**3 + 0 + 4*l**2 - u*l**4 - 31*l. Find p such that h(p) = 0.
-4, 1
Let r(a) be the second derivative of -1849*a**4/6 + 1892*a**3/3 - 484*a**2 + 1051*a. Find v, given that r(v) = 0.
22/43
Let m(a) be the third derivative of 1/14*a**7 - 5/6*a**5 - 45/16*a**4 - 25/6*a**3 - 82*a**2 + 5/672*a**8 + 0 + 1/24*a**6 + a. Determine v so that m(v) = 0.
-5, -1, 2
Let t = -24/1001 - -596/1001. Factor 32/7 + t*n**2 - 66/7*n.
2*(n - 16)*(2*n - 1)/7
Let u(j) = -3*j - 86. Let r be u(-31). Let x(m) be the first derivative of -9/14*m**2 + r - 1/7*m**3 - 6/7*m. Find z such that x(z) = 0.
-2, -1
Let r(l) be the first derivative of l**6/1440 + 59*l**5/480 + 29*l**4/48 + 21*l**3 + 129. Let m(v) be the third derivative of r(v). Factor m(i).
(i + 1)*(i + 58)/4
Let o(d) be the second derivative of -107*d - 3/40*d**5 + 11/8*d**4 + 0*d**2 + 0 - 9/2*d**3. Suppose o(h) = 0. What is h?
0, 2, 9
Let q(o) be the third derivative of -5/48*o**4 + 1/40*o**5 + 0*o + 0 - 1/6*o**3 - 33*o**2. Factor q(c).
(c - 2)*(3*c + 1)/2
Suppose 5*z - 18 = q - 76, -9*z = 3*q + 90. Let g be (-4)/((-1)/((-2)/(-4))). Solve -5*o**g - 5/2*o**4 - 5*o**q - 1/2 - 1/2*o**5 - 5/2*o = 0.
-1
Let c(t) be the first derivative of t**3/4 + 33*t**2/8 - 60*t + 2513. Solve c(n) = 0 for n.
-16, 5
Let s(f) be the third derivative of -f**5/45 + 155*f**4/18 + 5*f**2 - 185. Factor s(x).
-4*x*(x - 155)/3
Let a(o) = -2*o**2 + 47*o - 48. Let t(x) be the first derivativ