 - 4/7*b = 0.
-1, 0, 2
Let v(a) be the second derivative of 20*a + 1/4*a**3 + 3/4*a**2 - 1/32*a**4 - 3/160*a**5 + 0. Factor v(q).
-3*(q - 2)*(q + 1)*(q + 2)/8
Let w(c) be the third derivative of -c**5/60 + 5*c**4/8 - 22*c**3/3 + 37*c**2 - 1. Determine z, given that w(z) = 0.
4, 11
Suppose -2*v - 2 = -2*b, -4*b - 4*v + 23 = 3. Find h such that -h**5 - 4*h**4 - b*h**2 + 19*h**2 - 10*h**2 - 5*h**3 - 8*h**2 = 0.
-2, -1, 0
Let s(p) be the first derivative of -p**4/18 - 4*p**3/3 - 12*p**2 - 21*p - 13. Let b(o) be the first derivative of s(o). Determine c, given that b(c) = 0.
-6
Let r(i) be the third derivative of 0 + 1/150*i**5 - 1/15*i**3 - 1/300*i**6 + 1/60*i**4 + 20*i**2 + 0*i. Solve r(t) = 0 for t.
-1, 1
Let r be (-3 + -1)/((-183)/(-5) + -39). Factor 0 + 2/3*k - r*k**2 + k**3.
k*(k - 1)*(3*k - 2)/3
Let i(y) be the second derivative of 9*y**4/8 + 43*y**3/4 - 15*y**2/2 - 126*y. Determine d, given that i(d) = 0.
-5, 2/9
Let d(m) be the third derivative of -m**9/4032 + 3*m**8/2240 - m**6/120 + 2*m**3/3 + 8*m**2. Let t(k) be the first derivative of d(k). Factor t(n).
-3*n**2*(n - 2)**2*(n + 1)/4
Let -1/7*d**3 + 125/7 + 15/7*d**2 - 75/7*d = 0. What is d?
5
Let x(l) = -16*l**2 + 4*l - 54. Let p(m) = -3*m**2 + m - 10. Let q(a) = -22*p(a) + 4*x(a). Find c, given that q(c) = 0.
1, 2
Factor 6*x**3 + 11*x**2 + 296 - 296 - 10*x**4 - 7*x**2.
-2*x**2*(x - 1)*(5*x + 2)
Suppose 0 = 4*g - 3*f - 22, 0 = -g - 5*f + 15 + 25. Factor -14*k + g - 2/5*k**3 + 22/5*k**2.
-2*(k - 5)**2*(k - 1)/5
Let c be (-22*6/(-726))/(4/(-132)*-3). Suppose 2/9*n**3 - 2/9*n**5 + 0 + 0*n + 0*n**4 + 0*n**c = 0. What is n?
-1, 0, 1
Let n(j) = -j**2 - 23*j + 993. Let y be n(22). Let 4*g**2 + 0 + 1/2*g**4 - 5/2*g**y - 2*g = 0. What is g?
0, 1, 2
Let a(u) be the second derivative of 9*u + 1/2*u**4 + 0*u**2 - 3/4*u**5 + 0 + 3/2*u**3. Factor a(z).
-3*z*(z - 1)*(5*z + 3)
Let r(p) be the first derivative of -p**4/10 - 28*p**3/15 - 64*p**2/5 - 192*p/5 - 37. Factor r(v).
-2*(v + 4)**2*(v + 6)/5
Find b, given that -27/5 - 36/5*b**2 - 2*b**3 - 54/5*b - 1/5*b**4 = 0.
-3, -1
Let d be 46 + 3 + 0 - (0 + 0). Let n = -49 + d. Solve 0*w + 2/5*w**5 - 2/5*w**3 + 2/5*w**2 + n - 2/5*w**4 = 0 for w.
-1, 0, 1
Let w(p) be the first derivative of 0*p - 1/6*p**3 - 11 - p**2. Factor w(q).
-q*(q + 4)/2
Let c(d) be the second derivative of -d**5/10 - d**4 + 25*d**3/3 - 18*d**2 + 117*d. Factor c(h).
-2*(h - 2)*(h - 1)*(h + 9)
Let t = -141 - -143. Let s be 2 - -8*(-9)/42. Factor s*x**t - 4/7*x + 0.
2*x*(x - 2)/7
Let b(d) be the third derivative of d**7/1260 - d**6/180 + d**5/60 - 7*d**4/24 - 15*d**2. Let r(c) be the second derivative of b(c). Factor r(s).
2*(s - 1)**2
Let v(z) be the second derivative of -13*z + 4/15*z**5 + 2*z**2 - 1/3*z**4 + 1/6*z**3 + 0. Let h(j) be the first derivative of v(j). Solve h(a) = 0.
1/4
Let y(w) = 5*w**2 + 27*w + 28. Let h be y(-4). Let i(z) be the third derivative of 1/15*z**5 + h - 4*z**2 + 1/30*z**6 - 2/3*z**3 - 1/6*z**4 + 0*z. Factor i(d).
4*(d - 1)*(d + 1)**2
Factor -4*s**2 - 2*s**4 - 4860*s**3 + 0*s**2 - 4*s**2 + 4850*s**3.
-2*s**2*(s + 1)*(s + 4)
Let p(y) be the third derivative of y**6/40 - 3*y**4/8 + y**3 + 28*y**2 - 3*y. Factor p(j).
3*(j - 1)**2*(j + 2)
Let x(r) be the second derivative of r**7/56 - 3*r**6/20 + 9*r**5/20 - 5*r**4/8 + 3*r**3/8 - 62*r. Factor x(g).
3*g*(g - 3)*(g - 1)**3/4
Let v(d) = -6*d**3 + 1 - 11*d - 19*d**2 - 7*d - 3 - 3*d**2. Let x(y) = y**2 + y. Let l(u) = 2*v(u) + 6*x(u). Factor l(q).
-2*(q + 1)*(q + 2)*(6*q + 1)
Suppose -k = 7*k - 32. Factor -2*v - 7*v**2 - 9*v**3 - 4*v**5 - 14*v**k + 9*v**4 + 3*v**5.
-v*(v + 1)**3*(v + 2)
Let l(x) be the third derivative of x**7/9660 - x**5/345 - 16*x**3/3 + 26*x**2. Let o(t) be the first derivative of l(t). Solve o(f) = 0 for f.
-2, 0, 2
Let -64*k**4 + 216*k**3 + 4*k**5 + 196*k - 30 - 259*k**2 - 45*k**2 + 14 - 32 = 0. Calculate k.
1, 12
Let w(k) be the third derivative of k**7/210 + k**6/20 + k**5/12 - 92*k**2. Factor w(c).
c**2*(c + 1)*(c + 5)
Let z(q) be the third derivative of 2*q**8/21 - 68*q**7/315 + 11*q**6/60 - 3*q**5/40 + q**4/72 + 52*q**2. Factor z(f).
f*(3*f - 2)*(4*f - 1)**3/6
Let k(f) be the first derivative of -16*f**5/25 + 94*f**4/5 - 204*f**3 + 945*f**2 - 1350*f - 326. Solve k(w) = 0.
1, 15/2
Suppose 0 = 4*o - v - 11 - 0, -v - 3 = -2*o. Let b(j) be the first derivative of -1/14*j**4 - 2/35*j**5 + 4/21*j**3 - o + 0*j**2 + 0*j. Factor b(s).
-2*s**2*(s - 1)*(s + 2)/7
Let i(q) be the first derivative of -q**6/50 + 9*q**5/100 - q**4/10 - 5*q - 42. Let y(n) be the first derivative of i(n). Solve y(b) = 0 for b.
0, 1, 2
Let t = 1/1849 + 11089/9245. Factor -2/5*y**3 - t*y**2 - 4/5*y + 0.
-2*y*(y + 1)*(y + 2)/5
Let n be 4/(-9)*57/(-76). Let o(l) be the third derivative of -1/2*l**3 + 1/45*l**6 - 5*l**2 - 1/630*l**7 + n*l**4 - 11/90*l**5 + 0 + 0*l. Solve o(w) = 0 for w.
1, 3
Find m such that 9 + 27*m - 21 + 21*m**3 + m - 20*m**2 - 17*m**3 = 0.
1, 3
Suppose 2*i = 5*s + 9, -i = -2*s + 2 - 6. Determine m, given that 36/7 - 18/7*m**3 - 104/7*m**i - 138/7*m = 0.
-3, 2/9
Let g(b) = -2*b**3 - 1. Let l(t) = 10*t**3 + 54*t**2 - 52*t + 6. Let m(c) = -12*g(c) - 2*l(c). Let m(d) = 0. Calculate d.
0, 1, 26
Let u(s) = -s**3 + 3*s**2 - 2*s. Let r be u(3). Let c be (63/(-84))/(r/16). Factor 9*j**c + 6*j**2 + 9*j**2 + 8*j - 20*j**2.
4*j*(j + 2)
Let d(i) be the first derivative of -i**6/1800 - i**5/200 - i**4/60 + 16*i**3/3 + 8. Let w(z) be the third derivative of d(z). Factor w(q).
-(q + 1)*(q + 2)/5
Find b such that -6/11*b**3 - 2/11*b**5 + 8/11*b**4 + 0 + 0*b**2 + 0*b = 0.
0, 1, 3
Let y(k) be the first derivative of 3*k**5/5 - 21*k**4/8 + 9*k**3/2 - 15*k**2/4 + 3*k/2 + 32. Find c such that y(c) = 0.
1/2, 1
Suppose -3*k + 2*c = -33, 3*k - c = -5*c + 15. Suppose -3*y**4 + 21*y**2 + 17*y - 12 - 5*y - 6*y**3 + k*y**2 - 21*y**2 = 0. Calculate y.
-2, 1
Let b be ((-50)/(-40))/((-2)/(-8)). Suppose -b*u - 6 = -3*t + 9, 4*t - 3*u = 9. Factor -19*v**4 - 12*v + 36*v**2 - 9*v**3 + t*v + 4*v**4.
-3*v*(v - 1)*(v + 2)*(5*v - 2)
Let l(g) be the second derivative of 25*g + 0*g**2 + 16/63*g**7 - 1/36*g**4 + 0 + 0*g**6 + 0*g**3 - 1/10*g**5. Solve l(x) = 0 for x.
-1/4, 0, 1/2
Let o be 6/2 + (-2)/8*-12. Let t(r) be the third derivative of 0*r**o + 0*r + 0*r**3 + 0*r**5 + 0*r**4 + 0 + 7*r**2 + 1/105*r**7. Factor t(p).
2*p**4
Let x = -62 - -65. Factor 0 + 0*l + 1/2*l**2 - 1/2*l**x.
-l**2*(l - 1)/2
Factor -572/15*h**2 - 24/5*h**3 - 722/15 + 456/5*h - 2/15*h**4.
-2*(h - 1)**2*(h + 19)**2/15
Let v(f) be the first derivative of 5*f**4/4 - 35*f**3/3 + 55*f**2/2 - 25*f - 57. Factor v(o).
5*(o - 5)*(o - 1)**2
Let p(b) be the second derivative of -b**5/150 - b**4/90 + 4*b**3/45 + 4*b**2/15 + 2*b - 42. Factor p(z).
-2*(z - 2)*(z + 1)*(z + 2)/15
Factor 159/4*o + 21/4*o**2 + 21.
3*(o + 7)*(7*o + 4)/4
Let r(j) be the first derivative of -j**5/330 - 5*j**4/66 - 25*j**3/33 + 11*j**2/2 - 31. Let o(v) be the second derivative of r(v). Suppose o(h) = 0. What is h?
-5
Let p(d) = d**3 + d**2 - 2*d + 3. Let m be p(0). What is h in -16 + 37*h**2 + 4*h + 0*h**2 - 28*h**m + 3*h**2 = 0?
-4/7, 1
Let k = 31454/7 + -4493. Find s, given that 6/7*s - 3/7*s**3 + 0 - k*s**2 = 0.
-2, 0, 1
Suppose 2*w = 7*w - 10. Factor 28*o**3 - 5*o**5 + 17 - 25*o - 5*o**4 - 9*o**w - o**2 - 2 + 2*o**3.
-5*(o - 1)**3*(o + 1)*(o + 3)
Let k(u) = 17*u + 2*u**3 + u + 2*u**3 - 4*u + 18*u**2 - 34. Let g(y) = 8*y**3 + 35*y**2 + 29*y - 67. Let i(w) = 2*g(w) - 5*k(w). Find p, given that i(p) = 0.
-3, 1
Suppose 4*c - 2*c + 16 = 0. Let z be 2 + 3 + c/4. Factor 0*b - 7*b + z*b - 2*b**2 - 2.
-2*(b + 1)**2
Factor 0 + 17/4*j + 1/4*j**2.
j*(j + 17)/4
Suppose -20 = -5*o - 7*n + 2*n, 0 = -2*o + 2*n - 8. Let d be o*(-1 - 3)/12*-1. Let 8/9*x**2 + d - 2/9*x**3 - 8/9*x**4 + 2/9*x = 0. Calculate x.
-1, -1/4, 0, 1
Let a(x) be the third derivative of 0*x**3 + 0*x + 16*x**2 - 1/420*x**5 - 1/168*x**4 + 0. Determine h, given that a(h) = 0.
-1, 0
Let h = -15 - -15. Suppose h = -2*t - 2*t + 256. Find c such that -t + 10*c - 4*c**2 - 10*c - 4*c - 28*c = 0.
-4
Let i be (-2 - 35/(-20))*272/(-17). Let j(x) be the third derivative of -1/96*x**i + 0*x**3 + 0*x - 1/240*x**5 + 0 + 10*x**2. Let j(c) = 0. What is c?
-1, 0
Suppose -4*t + 14 = -0*q + q, -5*q = -t - 7. Suppose -3*d + 20 = q*d. Factor d*h**3 + 4*h**2 - h**4 - 1 - 4*h**3 - 2*