f w**6/30 - 2*w**5/5 + 2*w**4 - 16*w**3/3 + 10*w**2. What is b in j(b) = 0?
2
Let h = 131 - 59. Factor 9*g**2 + 2*g**3 - 6*g**2 + 69*g**4 + g**3 - h*g**4 - 3*g**5.
-3*g**2*(g - 1)*(g + 1)**2
Let g = -12 - -78. Suppose 0 = 3*a - 5*w - g, -2*a + 3*w + 44 + 0 = 0. Solve -a - t**2 + 2*t**2 + 21 = 0.
-1, 1
Factor 7*d - 142*d**3 - 99*d**4 - 23747*d**2 + 50*d - 69*d**4 + 24027*d**2 + 143*d + 72*d**5.
2*d*(d - 2)**2*(6*d + 5)**2
Let f(y) = 2*y**2 - 4*y + 4. Let g be f(2). Let c be (-3)/((-9)/g)*18/12. Find d such that -49/3*d**4 - 4/3*d**c + 28/3*d**3 + 0*d + 0 = 0.
0, 2/7
What is d in 21/2*d**5 - 186*d + 66*d**4 - 36 - 219*d**2 - 27/2*d**3 = 0?
-6, -1, -2/7, 2
Let p(x) = -2*x**4 + 2*x + 1. Let l(f) = -13*f**4 - 213*f**3 - 1755*f**2 - 5093*f - 5017. Let m(w) = -l(w) + 5*p(w). Factor m(v).
3*(v + 3)**3*(v + 62)
Let l(r) = -3*r**3 - 15*r**2 + 4*r + 16. Let t = -70 - -69. Let c(b) = b + 1. Let p(n) = t*c(n) + l(n). Factor p(a).
-3*(a - 1)*(a + 1)*(a + 5)
Let v(f) be the third derivative of -f**6/450 + f**5/200 + 7*f**3/6 + 7*f**2. Let g(a) be the first derivative of v(a). Factor g(z).
-z*(4*z - 3)/5
Let v = -7 - -7. Suppose v = -3*x + 7*x - 12. Factor -4*g - 2*g**3 + 5*g + g**2 - 2*g + x*g**3 - 1.
(g - 1)*(g + 1)**2
Let y be (-2)/5 - (-432)/80. Let i(d) be the third derivative of 0*d - 1/105*d**7 + 1/6*d**4 + 0*d**y - 1/30*d**6 + 1/3*d**3 - 7*d**2 + 0. Factor i(b).
-2*(b - 1)*(b + 1)**3
Let h = 307/7 - 43. Let v be 46/(-7) - ((-208)/8 - -19). Factor -h + v*r**3 + 15/7*r - 12/7*r**2.
3*(r - 2)*(r - 1)**2/7
Let a be (-36)/(-8) - 3/(-2). Determine b, given that 5*b**2 + 6*b + 3*b**2 + 4 - a*b**2 = 0.
-2, -1
Factor 32/15*x - 2/15*x**2 - 128/15.
-2*(x - 8)**2/15
Let q(j) = -9*j + 33. Let w(c) = 4*c - 16. Let h(t) = -2*q(t) - 5*w(t). Let n be h(7). Suppose -2/5*i**4 + n*i**2 - 1/5*i + 0 + 3/5*i**3 = 0. What is i?
-1/2, 0, 1
Let q(w) = -w**3 + 18*w**2 + 2*w - 34. Let t be q(18). Solve -3*j**t + 3*j - 14*j**3 + 7*j**3 + 4*j**5 + 11*j**4 - 8*j**2 = 0.
-3, -1, 0, 1/4, 1
Let o(r) be the second derivative of -2*r**7/21 + 7*r**5/5 + 2*r**4 + 167*r. Let o(k) = 0. Calculate k.
-2, -1, 0, 3
Let y be ((-7)/(-14))/(-2*(-6)/72). Let s(v) be the second derivative of 3*v**2 + 0 - y*v - 5/2*v**3 + v**4 - 3/20*v**5. Let s(r) = 0. What is r?
1, 2
Factor -15*o - 38*o**5 - 54*o**3 + 35*o**5 + 24*o**4 + 69*o**2 - 21*o**2.
-3*o*(o - 5)*(o - 1)**3
Let n be (2 - (3 - 3)) + -1. Let b be (4*1)/(1/n). Factor 2*r**2 - b*r**3 + 6*r**3 - 5*r**3 - r**3 + 2*r**4.
2*r**2*(r - 1)**2
Let w(y) be the third derivative of y**5/4 + 85*y**4/24 + 25*y**3/3 - 107*y**2. Factor w(x).
5*(x + 5)*(3*x + 2)
Suppose 553*q - 1787 + 7 = 108*q. Let a be 1*-1 + 10/4. Factor -1/3*s - 5/6*s**2 - a*s**q + 0 + 8/3*s**3.
-s*(s - 1)**2*(9*s + 2)/6
Let k(m) be the first derivative of -m**3 + 18*m**2 - 60*m + 53. Factor k(x).
-3*(x - 10)*(x - 2)
Let t(a) be the first derivative of 0*a - 3/20*a**5 - 1/8*a**6 + 1/4*a**3 + 3/16*a**4 + 4 + 0*a**2. Factor t(j).
-3*j**2*(j - 1)*(j + 1)**2/4
Let k be (1 + 11)/2 - 4. Let m be ((-9)/14)/(k/(-21)). Suppose -3/2 - 21/4*q - m*q**2 - 3/4*q**4 - 15/4*q**3 = 0. Calculate q.
-2, -1
Let j = 19 + -18. Let h be j/8 + 92/32. Determine l, given that 0*l**3 + 8*l**h - 2*l**5 - 3*l**5 - 3*l**3 = 0.
-1, 0, 1
Let u(q) be the second derivative of q**5/2 + 9*q**4/4 + 4*q**3 + 7*q**2/2 + 7*q - 3. Factor u(o).
(o + 1)**2*(10*o + 7)
Let d(l) be the third derivative of l**7/35 - 27*l**6/40 + 21*l**5/5 + 49*l**4/8 + 122*l**2. What is w in d(w) = 0?
-1/2, 0, 7
Let w(u) be the third derivative of u**5/225 - 79*u**4/180 + 13*u**3/15 - 2*u**2 - 47. Factor w(m).
2*(m - 39)*(2*m - 1)/15
Let t(f) = -5*f**2 + 209*f + 212. Let s(x) = -15*x**2 + 629*x + 637. Let r(y) = -2*s(y) + 7*t(y). Find q, given that r(q) = 0.
-1, 42
Suppose 128*w - 64 + 5*w**4 - 82*w**3 + 25/2*w**5 - 4*w**2 = 0. What is w?
-2, 4/5, 2
Let k(a) = -a**3 + 111*a**2 - 875*a + 2201. Let u(r) = -5*r**3 + 445*r**2 - 3500*r + 8805. Let l(s) = 15*k(s) - 4*u(s). Let l(n) = 0. What is n?
7, 9
Let v(x) be the third derivative of -1/1365*x**7 + 1/195*x**5 + 0*x**4 - 13*x**2 + 0*x**3 + 0*x - 1/780*x**6 + 0. Factor v(h).
-2*h**2*(h - 1)*(h + 2)/13
Let l be 11/6 + (-1)/2. Suppose -2*c - 3*n - 3 = 5, 2*n = 5*c - 18. Suppose -32/3*v**c + 10/3*v + 6*v**3 + l = 0. What is v?
-2/9, 1
Determine p so that -12/11*p**4 + 210/11*p**3 + 0 + 24*p**2 - 30/11*p**5 + 72/11*p = 0.
-2, -1, -2/5, 0, 3
Let w = -2/4563 - -1525/9126. Suppose w*a + 1/6 - 1/6*a**2 - 1/6*a**3 = 0. What is a?
-1, 1
Let q(c) be the first derivative of 2*c**7/525 - c**6/90 + c**5/150 + 4*c**3/3 - 14. Let j(b) be the third derivative of q(b). Determine d so that j(d) = 0.
0, 1/4, 1
Let b(g) be the third derivative of -g**6/72 - 2*g**5/9 + 175*g**4/72 + 245*g**3/3 - 289*g**2. Let b(o) = 0. What is o?
-7, 6
Factor -21/5*o**2 - 18/5*o + 0 - 3/5*o**3.
-3*o*(o + 1)*(o + 6)/5
Factor y**3 + 49 - 90*y + 3*y**3 + 4*y**2 + 31 + 26*y.
4*(y - 2)**2*(y + 5)
Factor 10/3*x**4 + 0 - 10/3*x**2 + 0*x**3 + 5/3*x**5 - 5/3*x.
5*x*(x - 1)*(x + 1)**3/3
Let s = -344 + 1723/5. Let p(l) be the second derivative of 2/15*l**3 - s*l**2 + 0 + 5*l + 1/30*l**4. Factor p(o).
2*(o - 1)*(o + 3)/5
Let r(o) be the second derivative of -o**5/190 - 7*o**4/114 + 8*o**3/19 + 180*o**2/19 - 311*o - 1. Let r(h) = 0. Calculate h.
-6, 5
Factor -8/3*k - 5 - 1/3*k**2.
-(k + 3)*(k + 5)/3
Factor -2*w - 7*w - 36*w**3 + 42*w**2 + 81*w**3 + 27*w**3.
3*w*(4*w + 3)*(6*w - 1)
Let g = -22 + 15. Let t be 22/8 - g/28. Factor -2 - 1 - 3*h + 3*h**3 - t + 3 + 3*h**2.
3*(h - 1)*(h + 1)**2
Let g(j) be the second derivative of 2*j**7/21 - 2*j**6/15 - j**5/5 + j**4/3 + 3*j - 6. What is p in g(p) = 0?
-1, 0, 1
Let d = 949/2 - 474. Suppose 1/4*h**3 + 5/4*h - h**2 - d = 0. What is h?
1, 2
Let o(w) be the first derivative of w**3 - 9*w**2 + 15*w + 71. Factor o(p).
3*(p - 5)*(p - 1)
Let s(r) = 28*r**3 - 8*r**2 - 5*r. Let q(x) = 43*x**3 - 9*x - 16*x**2 + 0*x + x**2 + 12*x**3. Let m(z) = 3*q(z) - 5*s(z). Solve m(j) = 0.
-1/5, 0, 2/5
Let c(n) = -n**3 + 15*n**2 - 47*n + 35. Let x be c(11). Solve 0 - 3/5*j**x + 0*j = 0 for j.
0
Factor -2*o - 1/4*o**2 + 0.
-o*(o + 8)/4
Let q be 25*(-3)/(-12) - 3/12. Suppose -2*v + q*v + 4*z + 12 = 0, 0 = -3*v + 2*z + 16. Suppose s + 1/2*s**3 - 3/2*s**v + 0 = 0. Calculate s.
0, 1, 2
Let l(h) be the first derivative of h**3 + 9/2*h**2 - 6*h - 1 - 9/4*h**4 + 3/5*h**5. Solve l(f) = 0.
-1, 1, 2
Suppose 0*s + 9*s - 126 = 0. Suppose 6 = -12*q + s*q. Factor 0 - 2/3*n**4 - 4/3*n**2 - 1/3*n - 5/3*n**q.
-n*(n + 1)**2*(2*n + 1)/3
Let a(y) = 4*y**2 - y + 1. Let l be a(2). Let z = -6 + l. Factor 1 - 1 + 12*w**4 - 3*w + 3*w**3 - 3*w**2 - z*w**4.
3*w*(w - 1)*(w + 1)**2
What is v in -16/13 + 4/13*v**4 + 36/13*v**2 - 8/13*v - 22/13*v**3 = 0?
-1/2, 2
Let h(j) be the second derivative of -j**7/14 - 4*j**6/5 - 3*j**5/4 + 7*j**4/2 - 6*j + 5. Find r such that h(r) = 0.
-7, -2, 0, 1
Solve 36/7*r + 0 + 3/7*r**2 = 0 for r.
-12, 0
Let r(n) = 11*n**3 + 26*n**2 + 35*n + 12. Let t(q) = -17*q**2 - 2280*q**3 - 19*q - 4*q + 2273*q**3 - 8. Let a(m) = -5*r(m) - 8*t(m). Find s such that a(s) = 0.
-4, -1
Let h(o) be the first derivative of 15*o**3/8 + 39*o**2/16 - 3*o/4 + 80. Factor h(w).
3*(w + 1)*(15*w - 2)/8
Let d be ((-4)/1)/28*(0/9)/(-5). Solve -3/7*a**4 + 0 + d*a + 0*a**2 + 6/7*a**3 = 0 for a.
0, 2
Let f(t) = 5*t**2 - 23*t + 4. Let j(a) = 3*a**2 - 13*a + 2. Let o(d) = -4*f(d) + 7*j(d). Determine c, given that o(c) = 0.
-2, 1
Let m(j) be the third derivative of -j**6/540 - 49*j**5/270 - 575*j**4/108 + 625*j**3/27 + 121*j**2. Factor m(z).
-2*(z - 1)*(z + 25)**2/9
Let a = -30 - -33. Suppose -a*l + 87 = -39. Let 6*n + 9*n**3 - l*n**2 - 21*n**4 + 9*n**4 + 69*n**2 = 0. What is n?
-1, -1/4, 0, 2
Let y(r) be the second derivative of 1/6*r**6 - 5/4*r**5 + 0*r**4 + 0*r**3 + 0*r**2 - r - 2. Let y(m) = 0. Calculate m.
0, 5
Suppose 0*l - 3*l + 15 = 0. Suppose 4*c**2 - 6*c**2 + l*c**2 - 5*c**2 = 0. Calculate c.
0
Suppose -47*a + 78 = -3*h - 75, h + 4 = 0. Let d be (-6)/4*(-8)/6. Solve 0 - 77/4*x**a + 9*x**4 - x - 9*x**d + 81/4*x**5 = 0.
-1, -2/9, 0, 1
Factor -16/5 - 14/5*i**2 + 2/5*i**3 + 28/5*i.
2*(i - 4)*(i - 2)*(i - 1)/5
Let z = 29378/5 - 5870. Factor 2 + 24/5*v**2 - 2/5*v**4 + z*v + 4/5*v**3.
-2*(v - 5)*(v + 1)**3/5
Suppose 4*p + 5 = 25. Let o(i) be the second derivative of 0 