/15, 0, 1
Let w(i) be the third derivative of 7/2*i**3 - 4 + 28/5*i**5 - 5*i**2 - 39/20*i**6 - 25/4*i**4 + 0*i + 9/70*i**7. Find m, given that w(m) = 0.
1/3, 1, 7
Let l(z) = 13*z + 151. Let f be l(-11). Let g be (9/(-3))/(3 - f). Solve 3/5*a**2 + g*a**3 - 1/5*a**4 + 6/5 - 11/5*a = 0.
-2, 1, 3
Let q(y) be the first derivative of 3*y**5/20 - 33*y**4/4 - 239*y + 15. Let k(z) be the first derivative of q(z). Let k(m) = 0. Calculate m.
0, 33
Let j = -88899/4 - -22225. Suppose -81 - 9*x - j*x**2 = 0. Calculate x.
-18
Suppose -30 - 224*f**2 + 162*f + 128/9*f**3 = 0. What is f?
3/8, 15
Let z(l) be the second derivative of -17/2*l**3 - 106*l + 0 - 3/8*l**5 + 63/8*l**4 - 18*l**2. Let z(w) = 0. Calculate w.
-2/5, 1, 12
Let u be ((-9)/(3186/(-236)))/(1 + 1/6). Suppose 4/7*g - u*g**2 + 48/7 = 0. What is g?
-3, 4
Let t = 2963/2 - 7407/5. Let l(c) be the second derivative of -1/2*c**2 - t*c**5 + 0 + 1/2*c**3 - 1/6*c**4 - 1/42*c**7 + 16*c + 1/10*c**6. Factor l(d).
-(d - 1)**4*(d + 1)
Let v(u) = u**2 - 23*u - 43. Let g(z) = 9*z - z + 646 - 632. Let l(y) = 7*g(y) + 2*v(y). Factor l(j).
2*(j + 2)*(j + 3)
Let x(l) be the second derivative of -2/3*l**3 + 0 - 1/30*l**4 + 138*l - 24/5*l**2. Factor x(i).
-2*(i + 4)*(i + 6)/5
Let v = 89603/1976 + 29/988. Let y(s) be the third derivative of -39*s**2 + 0*s + 0 - 1331/2*s**3 - 33/20*s**5 - v*s**4 - 1/40*s**6. Factor y(u).
-3*(u + 11)**3
Let a = -75 - -77. Factor 4*o**3 + 48*o + 52*o**2 + 32 - 54*o**2 + 26*o**a.
4*(o + 2)**3
Suppose -65*a + 62*a + u + 6 = 0, -4*a + 2*u + 8 = 0. Solve 13*d**3 + 12*d + d**5 + 9*d**2 - 69*d**4 - 13*d**5 - 30*d**a - 103*d**3 = 0.
-4, -1, 0, 1/4
Suppose 7*t = 4*t + 39. Suppose t*n = 14*n - 35. Factor -30*i**2 - 5*i**4 - 67 + 67 - n*i**3.
-5*i**2*(i + 1)*(i + 6)
Let t be (-60)/(144 - 24)*176/(-14). Factor 136/7*k - t*k**2 - 12/7.
-4*(k - 3)*(11*k - 1)/7
Suppose 0 = 4*u + 4*l - 0 - 4, 2*u = -l + 3. Suppose -6*g - 14 = -3*n - 8*g, 2*g = u*n + 4. Factor -2/5*p**2 + 2/5*p**3 - n*p - 6/5.
2*(p - 3)*(p + 1)**2/5
Let v(z) be the second derivative of -z**4/21 + 5636*z**3/21 - 3970562*z**2/7 - 5*z - 18. Find a, given that v(a) = 0.
1409
Suppose 4*u + 2*s = 100, -9*u + 6*u - s = -73. Factor j + 5*j**3 - 20 - 23*j + 39*j - 25*j**2 + u*j.
5*(j - 2)**2*(j - 1)
Find r such that -2/11*r**3 + 22*r - 40/11*r**2 - 200/11 = 0.
-25, 1, 4
Let k(d) be the first derivative of d**4/4 - 2*d**2 - 946. Let k(l) = 0. What is l?
-2, 0, 2
Let 53*v - 264 - v**2 - 2*v**2 + v**2 + 40*v - 19*v = 0. What is v?
4, 33
Let f(z) = -17*z**4 + 1279*z**3 - 46639*z**2 + 45377*z - 8. Let d(q) = 11*q**4 - 853*q**3 + 31093*q**2 - 30251*q + 5. Let y(w) = -8*d(w) - 5*f(w). Factor y(x).
-3*x*(x - 71)**2*(x - 1)
Let w(n) = -4*n**2 + 16*n - 26. Suppose 2*g - g = l, 2*l = -5*g - 28. Let k(r) = 13*r**2 - 48*r + 79. Let t(s) = l*k(s) - 14*w(s). What is u in t(u) = 0?
2, 6
Suppose 5938/13*f**3 + 2446/13*f**2 - 18/13*f**5 - 4422/13*f**4 + 152 - 5920/13*f = 0. What is f?
-247, -1, 2/3, 1
Let k(q) be the first derivative of q**6/3 + 4*q**5 + 8*q**4 - 4*q**3/3 - 17*q**2 - 16*q - 3556. Factor k(h).
2*(h - 1)*(h + 1)**3*(h + 8)
Suppose -171*g + 539 = 116*g - 35. Suppose -2304/5 - 4/5*p**g + 192/5*p = 0. Calculate p.
24
Let q(m) be the first derivative of 4*m**5/5 + 24*m**4 - 4*m**3 - 148*m**2 - 192*m + 169. Factor q(l).
4*(l - 2)*(l + 1)**2*(l + 24)
Suppose -3*x + 2*x = -4. Determine o so that 70*o - 81*o**4 + 8*o - 40*o**5 + 73*o**3 - 139*o**3 + 15 + 60*o**2 + 28*o**5 + 6*o**x = 0.
-5, -1, -1/4, 1
Suppose -155*h + 152*h + 84 = 0. Let q be 8/(-160)*h*(-24)/14. Suppose -3*t - q - 3/5*t**2 = 0. What is t?
-4, -1
Let h(l) = 8*l**2 - 13*l - 156. Let x be h(16). Suppose -15*i - 4*i**3 - 1692*i**2 + x*i**2 + 47*i = 0. Calculate i.
-4, 0, 2
Let u(d) be the second derivative of -d**5/120 + 28*d**4/9 - 223*d**3/36 + 80*d. Factor u(f).
-f*(f - 223)*(f - 1)/6
Let s(v) = 14*v**2 + 11*v - 1. Let a = 361 + -362. Let x be s(a). Factor 1/2 - 1/2*p + p**3 + 1/2*p**4 - p**x - 1/2*p**5.
-(p - 1)**3*(p + 1)**2/2
Let j be (40/(-12)*(-11)/55)/(18 + -17). Factor -o**3 + 0 + 1/3*o - j*o**5 + 1/3*o**2 - 5/3*o**4.
-o*(o + 1)**3*(2*o - 1)/3
Let m = 28 + -27. Let v(q) = -q**4 + q**3 - q**2 - q. Let s(u) = 3*u**4 - 10*u**3 + 17*u**2 + 10*u - 16. Let x(t) = m*s(t) + 2*v(t). Factor x(l).
(l - 4)**2*(l - 1)*(l + 1)
Suppose 5*t + 5 = -4*o, t + 2*o = -4 - 3. Let k(p) = p - 5. Let r be k(9). Factor r*i**2 - 2*i + 5*i + i**t - 4 - 7*i + 3*i**3.
4*(i - 1)*(i + 1)**2
Let w(l) be the first derivative of -l**4 - 7*l**3 - 8*l**2 + 188 + 3*l**3 - 4*l**3 - 2*l**2 + 48*l - 10. Determine q, given that w(q) = 0.
-4, -3, 1
Find l, given that -363/2*l**2 + 363/2 - 1/2*l + 1/2*l**3 = 0.
-1, 1, 363
Let g = -969 - -1003. Suppose g = 29*t - 24. Suppose 5/2*d**3 + 1/4*d**4 + 33/4*d**t + 10*d + 4 = 0. Calculate d.
-4, -1
Let o(v) be the first derivative of v**4 - 128*v**3/3 - 1880*v**2 - 20800*v - 5607. Factor o(y).
4*(y - 52)*(y + 10)**2
Let 27*c**3 + 700*c**2 - 331*c**2 - 30*c**3 - 9945*c - 88725 = 0. Calculate c.
-7, 65
Let h(l) be the third derivative of -l**7/504 + 5*l**6/36 + 7*l**5/8 - 131*l**4/24 + 122*l**2. Let f(v) be the second derivative of h(v). Factor f(b).
-5*(b - 21)*(b + 1)
Let n be 123529/(-1862) - -70 - 3/19. Let n*f - 4 + 1/2*f**2 = 0. Calculate f.
-8, 1
Determine a, given that -67/9*a - 512/9*a**2 + 34/9 + 1073/9*a**3 - 512/9*a**4 - 16/9*a**5 = 0.
-34, -1/4, 1/4, 1
Let n(p) = -3*p - 48. Let w be n(-19). Suppose 3 - 1 = u. Solve w + 9*g - 5 + 4*g**u - 2*g**2 = 0 for g.
-4, -1/2
Let z(x) be the first derivative of x**6/70 - 9*x**5/20 + 30*x**4/7 - 50*x**3/7 - 13*x + 187. Let w(p) be the first derivative of z(p). Factor w(l).
3*l*(l - 10)**2*(l - 1)/7
Factor 2/5*c**2 - 86 + 76/5*c.
2*(c - 5)*(c + 43)/5
Let x be 8/36 - (31 - (-8711)/(-279)). Let h(s) = s**3 + 4*s**2 + 3*s + 3. Let c be h(-3). What is d in -x*d**2 + 0*d + 2/9*d**4 - 2/9*d**c + 0 = 0?
-1, 0, 2
Let z be 0 - 4 - (-1880)/450 - (-6)/27. Find y, given that 6/5*y**2 + 0 - 4/5*y - z*y**4 + 0*y**3 = 0.
-2, 0, 1
Solve -96 - 156 - 235*t - 80 - 24*t**2 + 19*t**2 - 118 = 0.
-45, -2
Let y = -302 + 285. Let n(q) = -q**2 - 3*q + 241. Let v be n(y). Suppose -2/3*x**2 + 4/3*x**v + 0*x + 0 = 0. Calculate x.
0, 1/2
Let u(n) be the first derivative of 3/2*n + 3/8*n**2 - 1/2*n**3 - 3/16*n**4 - 215. Factor u(s).
-3*(s - 1)*(s + 1)*(s + 2)/4
Let k be (-292)/73 + 28/6. Let v be (2/(-18))/(2 + (-56)/24). Factor 0 - v*l**2 + k*l.
-l*(l - 2)/3
Suppose -4*v + 113*z = 111*z + 12, v = 5*z - 66. What is d in 0*d + 0 - 26/9*d**3 + 8/3*d**2 + 2/9*d**v = 0?
0, 1, 12
Let w(d) be the second derivative of 1/6*d**3 + 12*d + 1/84*d**4 + 5/7*d**2 - 3. Factor w(z).
(z + 2)*(z + 5)/7
Let l(f) be the first derivative of f**3/8 - 4011*f**2/16 + 501*f - 11820. What is q in l(q) = 0?
1, 1336
Let s(x) = x**3 - x**2 - 27*x - 14. Let o be (10 - -2)*1/2. Let k be s(o). Determine z, given that -6*z**2 + 3*z**k + 3 - 3/2*z + 3*z**3 - 3/2*z**5 = 0.
-1, 1, 2
Let r = -188133 - -940683/5. Find q, given that -3*q - 21/5*q**3 - r + 69/5*q**2 - 3*q**4 = 0.
-3, -2/5, 1
Let q(k) = -9*k**4 - 9*k**3 + 114*k**2 + 252*k + 129. Let m(j) = 2*j**4 + j**2 - j - 1. Let o(n) = 3*m(n) + q(n). Factor o(v).
-3*(v - 6)*(v + 1)**2*(v + 7)
Let h(p) be the third derivative of -p**6/280 + 113*p**5/28 - 9880*p**2. Suppose h(t) = 0. What is t?
0, 565
Let l(o) = o**3 + 1. Let h(y) = -4*y**3 - 13*y**2 - 51*y - 66. Suppose -100 = 23*n - 3*n. Let t(j) = n*h(j) - 15*l(j). Solve t(k) = 0.
-7, -3
Let y(z) be the first derivative of 3/14*z**2 - 1/35*z**5 + 2/7*z - 3/28*z**4 - 1/21*z**3 - 28. Factor y(j).
-(j - 1)*(j + 1)**2*(j + 2)/7
Let n(i) be the second derivative of 6/25*i**5 - 7/5*i**4 + 44/15*i**3 + 3 + 1/75*i**6 - 3*i**2 + 9*i. Suppose n(f) = 0. What is f?
-15, 1
Suppose -135*b**3 + 99/5*b**5 + 1203/5*b**2 - 87/5*b**4 - 648/5*b + 108/5 = 0. Calculate b.
-3, 1/3, 6/11, 1, 2
Let i(s) be the first derivative of 0*s**2 + 0*s + 1/4*s**4 - 43 + 1/20*s**5 + 0*s**3. Factor i(f).
f**3*(f + 4)/4
Let n be ((-12)/14)/((-928)/(-857878)). Let d = -792 - n. Factor 0 - 9/4*f**2 - d*f**3 + 21/8*f.
-3*f*(f - 1)*(f + 7)/8
Let i be (-3 + (-10)/(-4))*(-13 + -3). Suppose -20 = 3*l + 2*l, -w + 3*l = -14. Factor -1 - i - 3*f**2 + 30*f - 13*f**w - 5*f**2.
-3*(f - 1)*(7*f - 3)
Let o(s) be the first derivative of -2*s**6/3 - 8*