be the first derivative of u(b). Let f(h) = 0. What is h?
-1/4, 0, 1
Let p be ((-3471)/52)/(42/76). Let y = 245/2 + p. Determine d, given that 48/7*d**2 + 64/7*d**3 + y*d + 1/7 = 0.
-1/4
Let l be (0 + 2 - (2 + 0))*(-6)/(-12). Find j such that -2/3*j**5 + l*j**3 + 0 + 0*j**2 + 0*j**4 + 0*j = 0.
0
Let d(j) be the third derivative of -4*j**2 + 0*j**3 + 1/168*j**4 + 0*j + 1/56*j**6 + 0 - 1/147*j**8 - 4/735*j**7 + 2/105*j**5. What is i in d(i) = 0?
-1, -1/4, 0, 1
Let a(z) be the third derivative of z**7/1260 - z**6/720 - z**5/180 - 8*z**2 - 5. Factor a(s).
s**2*(s - 2)*(s + 1)/6
Let v(p) be the second derivative of p**5/50 - 7*p**3/15 + 6*p**2/5 + 58*p. Factor v(r).
2*(r - 2)*(r - 1)*(r + 3)/5
Let v = 1994 + -1994. Factor v*u + 0 + 2/3*u**2.
2*u**2/3
Suppose 0 = -h - 2*h + 6. Factor -33*j**5 + 3*j**h + 2*j**3 - j - j**4 - 1 + 32*j**5 - j**2.
-(j - 1)**2*(j + 1)**3
Let s(m) be the third derivative of -m**9/1512 - m**8/840 + m**7/420 + m**6/180 + 7*m**3/6 - 12*m**2. Let h(q) be the first derivative of s(q). Factor h(y).
-2*y**2*(y - 1)*(y + 1)**2
Factor -208/9*q + 2/9*q**2 + 206/9.
2*(q - 103)*(q - 1)/9
Let m(d) be the third derivative of d**8/336 - d**6/40 + d**5/30 + 659*d**2. Find z such that m(z) = 0.
-2, 0, 1
Find u, given that -4/3*u**2 - 2/3*u**5 - 8*u**3 - 4 + 26/3*u + 16/3*u**4 = 0.
-1, 1, 6
Factor -160*a - 40 + 525*a**2 + 6 + 3 + 8 + 3.
5*(5*a - 2)*(21*a + 2)
Let m be (0 - 12)*(208/6)/(-1). Let f be 4/(-10) + m/240. Factor -1/3 - f*c**3 + c + 0*c**2.
-(c + 1)*(2*c - 1)**2/3
Let i(f) = 11*f**4 - 25*f**3 - 10*f**2 + 117*f - 3. Let m(s) = -13*s**4 + 25*s**3 + 10*s**2 - 116*s + 4. Let t(a) = 4*i(a) + 3*m(a). Solve t(v) = 0.
-2, 0, 3, 4
Suppose 46 = -3*t + 4*a + 60, -2*a - 6 = -t. Suppose 3*z**2 - 9/2*z + t - 1/2*z**3 = 0. What is z?
1, 4
Let x(t) be the first derivative of 0*t - t**4 + 0*t**2 + 2/9*t**3 + 18 + 6/5*t**5 - 4/9*t**6. Solve x(h) = 0.
0, 1/4, 1
Suppose 758*o - 1068*o + 315 - o**2 - 6*o**2 + 2*o**2 = 0. What is o?
-63, 1
Suppose u + 1 = 0, -4*u + 2*u = 4*q + 162. Let c = 68 + q. Factor -92*g**4 + 8*g - 52*g**2 + 7*g**5 - c*g**3 + 21*g**5 + 136*g**3.
4*g*(g - 1)**3*(7*g - 2)
What is j in -j + 24/5 - 1/5*j**2 = 0?
-8, 3
Let o(h) be the third derivative of 1/12*h**6 - 1/420*h**7 - 3*h**2 - 121/12*h**3 + 11*h - 13/20*h**5 + 0 - 55/12*h**4. Factor o(y).
-(y - 11)**2*(y + 1)**2/2
Let w(b) = -4*b - 9. Let z(s) = -s. Let u(c) = -w(c) + 5*z(c). Let g be u(7). Suppose 4/3*f**g + 8/3*f + 4/3 = 0. Calculate f.
-1
Let a be 1/(-4) - (-54)/24. Suppose 0 = a*m - 5 - 3. Solve 3*d + d**2 + d**m - 2*d**3 - 3*d = 0 for d.
0, 1
Let s(f) be the first derivative of 4*f**5/5 - 36*f**4 - 152*f**3 - 232*f**2 - 156*f + 80. Factor s(l).
4*(l - 39)*(l + 1)**3
Let n(v) = -15*v**2 - 245*v + 340. Let k(c) = c**2 - 5*c. Let f(t) = 20*k(t) + n(t). Factor f(h).
5*(h - 68)*(h - 1)
Let r(o) be the first derivative of 0*o - 5/2*o**2 + 1/20*o**5 + 1/8*o**4 - o**3 - 4. Let h(d) be the second derivative of r(d). Factor h(i).
3*(i - 1)*(i + 2)
Let a(q) = -2*q**2 - 184*q - 177. Let h be a(-91). Find l such that -16/5*l**2 - 98/5*l**h + 8/5*l + 196/5*l**4 + 0 - 18*l**3 = 0.
-2/7, 0, 2/7, 1
Let a(t) be the second derivative of -t**7/357 + 2*t**6/85 + 3*t**5/170 - 8*t**4/51 - 4*t**3/17 + 390*t. Determine z, given that a(z) = 0.
-1, 0, 2, 6
Suppose l - 14 = -3*v, 3*l + 3*v - 18 = 6*l. Let o be 3*l + (10 - 4)/2. Factor 4/3*h**2 - 2/3 + 0*h**3 + o*h - 2/3*h**4.
-2*(h - 1)**2*(h + 1)**2/3
Let f(k) be the second derivative of -3*k**5/20 + 7*k**4/4 - 7*k**3 + 12*k**2 + 167*k. Let f(d) = 0. What is d?
1, 2, 4
Let j(v) = -v**3 + 14*v**2 + 52*v - 14. Let s be j(17). Determine k so that 0 + 0*k + 0*k**s + 0*k**2 + 1/2*k**5 + 1/2*k**4 = 0.
-1, 0
Let w(o) be the third derivative of o**8/2240 - o**6/80 - o**5/20 + o**4/12 + 14*o**2. Let z(h) be the second derivative of w(h). Factor z(u).
3*(u - 2)*(u + 1)**2
Let z(f) be the first derivative of 4*f**5/15 + 2*f**4/3 - 16*f**3/9 - 4*f**2/3 + 4*f + 106. Determine x, given that z(x) = 0.
-3, -1, 1
Let b(z) be the third derivative of -z**9/1512 + z**7/210 - z**5/60 - 5*z**3/6 - 15*z**2. Let h(v) be the first derivative of b(v). Factor h(i).
-2*i*(i - 1)**2*(i + 1)**2
Let h(x) = x**3 - 10. Let n be h(0). Let u = -7 - n. Factor -d**4 - u*d**2 - d**2 - 2*d**3 + 2*d**2 + d**2.
-d**2*(d + 1)**2
Let j(b) be the first derivative of 2*b**5/35 + 25*b**4/7 + 1346*b**3/21 + 1200*b**2/7 + 1152*b/7 - 184. Determine s so that j(s) = 0.
-24, -1
Suppose -3*p + 15 = 3. Solve -10*r**5 + 7*r**5 - 4*r**3 + 2*r**5 + 2*r**3 + 3*r**p = 0.
0, 1, 2
Let y be 2*(-2)/22 + 136/22. Factor -i**3 - 3*i**4 + y*i + 3*i**2 + 5*i**2 - 5*i**2 - 5*i**3.
-3*i*(i - 1)*(i + 1)*(i + 2)
Let w(v) be the second derivative of -v**6/1440 - v**5/48 - 25*v**4/96 - 5*v**3/6 + 14*v. Let m(k) be the second derivative of w(k). Factor m(s).
-(s + 5)**2/4
Let p = 602/15 + 1811/30. Let 24*i + p*i**2 + 279/2*i**4 + 355/2*i**3 + 2 + 81/2*i**5 = 0. What is i?
-1, -2/9
Let g(b) be the second derivative of 0 + 2/75*b**6 - 4/15*b**3 - 1/15*b**4 + 0*b**2 + 2/25*b**5 - 5*b. Factor g(z).
4*z*(z - 1)*(z + 1)*(z + 2)/5
Let s = 161 - 159. Determine t so that 80*t**4 - 48*t**s - 36*t + 104*t**3 - 100*t**5 - 4163 + 4163 = 0.
-3/5, 0, 1
Let x be 32/24 + 51/9. Let y = -8 + 13. Solve 7*z**4 + x*z**2 + 2*z**y - 5*z**2 - 2*z**3 - 9*z**4 = 0 for z.
-1, 0, 1
Let l(g) be the first derivative of g**6/54 + 2*g**5/15 + g**4/3 + 8*g**3/27 + 35. Factor l(d).
d**2*(d + 2)**3/9
Let c = 888 - 885. Factor -11/2*o + 2*o**4 - 6*o**2 + 1/2*o**c - 1.
(o - 2)*(o + 1)**2*(4*o + 1)/2
Factor -5/6*j**2 - 2*j - 2/3.
-(j + 2)*(5*j + 2)/6
Suppose 0 = -20*o + 9*o + 44. Factor -165*u**3 - o*u**2 + 32*u**2 + 181*u**3 + 12*u.
4*u*(u + 1)*(4*u + 3)
Let x(m) be the second derivative of -40/3*m**4 - 7*m**6 + 0 + 25/42*m**7 + 24*m**5 + 35*m + 0*m**2 + 0*m**3. Factor x(b).
5*b**2*(b - 4)**2*(5*b - 2)
Let l(m) be the third derivative of -8/15*m**5 + 0*m + 0 + 1/10*m**6 + 2*m**2 - 4/3*m**3 + 7/6*m**4. Let l(f) = 0. Calculate f.
2/3, 1
Let n = -259/522 + 3/58. Let o = 16/9 + n. Suppose 2/9*t**2 + 2 - o*t = 0. Calculate t.
3
Let m(r) be the first derivative of 0*r**2 + 1/2*r**4 - 1/3*r**3 + 3/5*r**5 + 0*r - 1. Find z such that m(z) = 0.
-1, 0, 1/3
Let k(n) be the second derivative of -n**4/30 - 82*n**3/5 - 15129*n**2/5 + 508*n. Factor k(u).
-2*(u + 123)**2/5
Let f be (((-11)/264)/(15/(-40)))/(2/8). Find c, given that 2/9*c**5 + 0 - f*c**4 + 4/9*c**2 + 0*c - 2/9*c**3 = 0.
-1, 0, 1, 2
Let i(f) be the third derivative of f**8/112 - 29*f**7/35 - 9*f**6/2 - 91*f**5/10 - 61*f**4/8 + 7*f**2 + 43*f. Solve i(h) = 0 for h.
-1, 0, 61
Let l(s) be the third derivative of -s**5/20 + s**4/2 + s**2 + 37. Factor l(a).
-3*a*(a - 4)
Factor -284/3*c - 1/3*c**2 - 20164/3.
-(c + 142)**2/3
Let r = -9 - -6. Let f = 5 + r. Let -a**2 - 3*a**f + 8*a - 8 - 4*a**2 + 6*a**2 = 0. What is a?
2
Suppose -5*r + t + 2 = -2*r, -6 = r - 2*t. Factor 20*q**2 + 121 + 30*q + r*q**3 - 6*q**2 - 103.
2*(q + 1)*(q + 3)**2
Let m(n) be the second derivative of 0*n**2 + 5/18*n**4 - 2/9*n**3 + 1/15*n**5 + 0 - 1/9*n**6 - 12*n. Find i, given that m(i) = 0.
-1, 0, 2/5, 1
Factor 64*j + 75*j**2 + 245 + 0*j**3 + 0*j**3 - 379*j - 5*j**3.
-5*(j - 7)**2*(j - 1)
Let s = -453 + 453. Let n(d) be the third derivative of -1/80*d**5 + 0 + 2*d**2 + 1/120*d**6 + s*d + 1/6*d**3 - 1/24*d**4 - 1/840*d**7. What is u in n(u) = 0?
-1, 1, 2
Let u(p) be the third derivative of -1/45*p**5 + 0*p**3 - 1/630*p**7 + 0 + 0*p**4 + 17*p**2 + 0*p - 1/72*p**6. Factor u(k).
-k**2*(k + 1)*(k + 4)/3
Suppose -5*n + 3*f = -14 - 3, 2*n = -3*f + 11. Let z be n/(-18)*6/(-4). Factor 0 - 1/3*q**4 + 5/3*q**2 + z*q**5 - q**3 - 2/3*q.
q*(q - 1)**3*(q + 2)/3
Let i(o) = -26*o**4 - 371*o**3 - 334*o**2 - 11*o + 11. Let y(w) = -5*w**4 - 74*w**3 - 67*w**2 - 2*w + 2. Let j(m) = 2*i(m) - 11*y(m). Find l such that j(l) = 0.
-23, -1, 0
Let f = -233 + 249. Let v(q) be the first derivative of 0*q - 4/5*q**5 - f*q**3 + 16*q**2 + 6*q**4 - 6. Factor v(h).
-4*h*(h - 2)**3
Let g(h) be the first derivative of -8/3*h**3 - 5 - 11*h**2 + 6*h. Factor g(q).
-2*(q + 3)*(4*q - 1)
Factor 2/5 - 116/5*b + 1682/5*b**2.
2*(29*b - 1)**2/5
Suppose -5*r + 2*g = 24, -3*r - 5*g = r + 6. Let s be (-56)/(-260) - r/10. Factor 2/13*z**2 + 6/13 - s*z.
2*(z - 3)*(z - 1)/13
Factor -24 - 81