(o + 3)
Let c(l) = 6*l**3 + 6*l**2 - 13*l - 26. Let g(f) = f**3 + f**2 - 2*f - 4. Let w(k) = 6*c(k) - 39*g(k). Factor w(s).
-3*s**2*(s + 1)
Let c be 48 - 49 - (-118)/6. Factor 2/3*r**5 + c*r**2 + 34/3*r + 44/3*r**3 + 16/3*r**4 + 8/3.
2*(r + 1)**4*(r + 4)/3
Let f = -185 - -189. Let m(y) be the first derivative of -8/3*y + 4 - f*y**2 - 2*y**3. Suppose m(x) = 0. Calculate x.
-2/3
Let z(v) be the second derivative of -5*v**2 - 14*v + 25/3*v**4 + 0 + 5/2*v**3. Determine d so that z(d) = 0.
-2/5, 1/4
Let h(u) be the second derivative of 2*u**7/105 - u**6/30 - u**5/15 + u**4/6 - u**2/2 - 5*u. Let i(v) be the first derivative of h(v). Factor i(b).
4*b*(b - 1)**2*(b + 1)
Factor 6889/4 + 1/4*b**2 - 83/2*b.
(b - 83)**2/4
Let s(q) be the first derivative of -q**2 - 11 + 0*q + 2/3*q**3 - 1/8*q**4. Suppose s(d) = 0. Calculate d.
0, 2
Suppose 24 = -6*t + 10*t. Let u(x) = -4*x**2 + 8*x - 4. Let s(k) = -8*k**2 + 16*k - 8. Let g(o) = t*s(o) - 13*u(o). Factor g(b).
4*(b - 1)**2
Let z(g) be the third derivative of 0 + 0*g - 13*g**2 + 0*g**4 - 1/90*g**5 + 0*g**3. Solve z(i) = 0.
0
Let p(q) be the second derivative of -3*q**5/5 - 8*q**4 + q**3/8 + 3*q**2 + 73*q - 2. What is b in p(b) = 0?
-8, -1/4, 1/4
Let q(v) be the second derivative of 3/4*v**5 + 7*v + 0*v**2 + 0 - 5/6*v**4 + 5/6*v**6 + 0*v**3. Let q(l) = 0. Calculate l.
-1, 0, 2/5
Let q = 1400/4213 - -12/383. Solve 0 - q*l - 2/11*l**2 = 0.
-2, 0
Let a(n) be the third derivative of 1/220*n**6 - 2*n**2 + 0*n + 0 - 4/11*n**3 + 0*n**4 + 3/110*n**5. Factor a(d).
6*(d - 1)*(d + 2)**2/11
Let a(c) = -46*c**2 + 835*c - 126. Let g be a(18). Factor -2/11*x**2 + g + 20/11*x.
-2*x*(x - 10)/11
Suppose -10 + 18 = 4*l - 4*k, 4*l = k + 8. Solve -1/3 - b**l + 1/3*b**3 + b = 0.
1
Let s = 2840 + -2838. Determine x, given that -9/2*x - 81/4 - 1/4*x**s = 0.
-9
Determine l so that 1/2*l**2 + 35/2 - 6*l = 0.
5, 7
Let h(j) be the first derivative of 0*j**2 - 1/105*j**6 - 1/35*j**5 - 7 - 2*j + 1/42*j**4 + 2/21*j**3. Let g(n) be the first derivative of h(n). Factor g(q).
-2*q*(q - 1)*(q + 1)*(q + 2)/7
Let q(t) = -t + 3. Let p be q(0). Let 8*k**5 + 0*k**4 - p*k**2 + 3*k**4 - 4*k**5 - 3*k**3 - k**5 = 0. What is k?
-1, 0, 1
Suppose 29*m - 21*m = 24. Let n(y) be the third derivative of -7/12*y**4 + m*y**2 + 0 + 0*y - 4/15*y**5 - 2/3*y**3 - 1/20*y**6. Factor n(d).
-2*(d + 1)**2*(3*d + 2)
Find k, given that -12*k + 12*k**2 - 7*k**3 - 4*k - 2*k**4 + 4*k**3 + 9*k**3 = 0.
-2, 0, 1, 4
Let k be (((-1040)/(-39))/20)/(8/18). Let g(u) be the first derivative of 0*u**2 + 0*u**4 + 0*u**k + 0*u + 1/5*u**5 + 1/6*u**6 - 5. Let g(h) = 0. What is h?
-1, 0
Factor 5*o**3 - 19*o - 28*o + 150 - 7*o - 41*o.
5*(o - 3)*(o - 2)*(o + 5)
Solve -2/3 + 2/9*o**2 - 4/9*o = 0 for o.
-1, 3
Suppose 5*k + 11 = 5*f + 21, -f = 5*k - 10. Determine p, given that 1/2 + 3/4*p**k + 5/4*p - 1/4*p**4 - 1/4*p**3 = 0.
-1, 2
Let n(u) be the first derivative of -u**4/30 + 4*u**3/15 - 3*u**2/5 - 2. Determine i, given that n(i) = 0.
0, 3
Let c be (483/(-56) - -12)/(12/8). Factor c + 1/4*v**4 + 11/2*v**2 + 6*v + 2*v**3.
(v + 1)**2*(v + 3)**2/4
Factor -136/11*f**2 - 16/11*f**4 - 24/11 - 2/11*f**5 + 94/11*f + 84/11*f**3.
-2*(f - 1)**4*(f + 12)/11
Let d(v) be the first derivative of v**5/20 + v**4/12 - v**3/3 - 17*v + 2. Let x(y) be the first derivative of d(y). Solve x(p) = 0 for p.
-2, 0, 1
What is i in -8/3*i**3 + 0 + 74/3*i**2 - 6*i = 0?
0, 1/4, 9
Let u be 1/((-6)/7 - -3 - 2). Let q(g) be the third derivative of 0 + 0*g**3 + 0*g + 0*g**4 - 1/180*g**5 + u*g**2 - 1/360*g**6. Factor q(y).
-y**2*(y + 1)/3
Let f(h) be the third derivative of 5/54*h**5 + 0 + 0*h + 1/945*h**7 + 0*h**3 + 0*h**4 - 1/54*h**6 - 21*h**2. Factor f(s).
2*s**2*(s - 5)**2/9
Let g(n) be the second derivative of n**7/1120 + n**6/160 - n**5/40 + 3*n**3/2 + 10*n. Let i(j) be the second derivative of g(j). Suppose i(x) = 0. Calculate x.
-4, 0, 1
Suppose -15 = -3*d + 69. Let s be (7/d)/(3/4). Find r such that -1/3*r + r**2 - r**3 + s*r**4 + 0 = 0.
0, 1
Let g(a) be the second derivative of -7*a**6/15 + 33*a**5/10 - 23*a**4/3 + 4*a**3 + 8*a**2 + 218*a. What is o in g(o) = 0?
-2/7, 1, 2
Let n(c) be the first derivative of -c**6/90 + c**5/6 - 2*c**4/3 + 2*c**3/3 + 3. Let m(f) be the third derivative of n(f). Solve m(d) = 0 for d.
1, 4
Let t(l) be the first derivative of -l**5/30 + 2*l**4/3 - 16*l**3/3 + 33*l**2/2 - 25. Let s(z) be the second derivative of t(z). Factor s(o).
-2*(o - 4)**2
Suppose 0 = 237*s - 258*s. Let t(k) be the third derivative of 1/56*k**4 + 0 + s*k - 3/140*k**5 + k**2 + 1/7*k**3. Factor t(u).
-3*(u - 1)*(3*u + 2)/7
Let h(o) be the third derivative of 0 + 7/30*o**5 + 1/21*o**7 + 0*o - 1/168*o**8 - 3/20*o**6 + 0*o**3 - 1/6*o**4 + 16*o**2. Solve h(g) = 0 for g.
0, 1, 2
Let l(b) be the third derivative of b**5/72 + 35*b**4/144 + 25*b**3/18 + 284*b**2. Solve l(y) = 0 for y.
-5, -2
Let c(m) be the third derivative of -13*m**5/60 + 2*m**4/3 - 13*m**3/6 + 9*m**2. Let w(d) = -6*d**2 + 8*d - 6. Let f(i) = -2*c(i) + 5*w(i). Factor f(v).
-4*(v - 1)**2
Let g(o) be the first derivative of o**4/2 + 26*o**3/3 + 23*o**2 + 22*o - 84. Factor g(a).
2*(a + 1)**2*(a + 11)
Let g(d) = -3*d**2 - 45*d - 48. Let t(s) = 8*s**2 + 134*s + 143. Let a(b) = 17*g(b) + 6*t(b). Find u, given that a(u) = 0.
-1, 14
Suppose 5*n - 5*b = 30, n - 2*n = -3*b - 10. Factor 6*x**2 + 2 - 3*x**3 - 4 - 6*x + x**3 + n.
-2*(x - 1)**3
Factor 2*b**2 + 4*b - 6*b + 9*b + 7*b.
2*b*(b + 7)
Factor -39*c - 6*c**3 + 2*c**4 + 43*c + 0*c**5 + 2*c**5 - c**2 - c**2.
2*c*(c - 1)**2*(c + 1)*(c + 2)
Factor 4/11*p**2 + 80/11 + 2/11*p**3 - 86/11*p.
2*(p - 5)*(p - 1)*(p + 8)/11
Let x be 1 - (-6 - (-4 + 0)). Suppose -x*t = 3*t - 30. Factor 10*l - 9 + 7 + t*l**2 + 2.
5*l*(l + 2)
Factor 72/11 + 2/11*s**2 + 24/11*s.
2*(s + 6)**2/11
Suppose -62 = -5*i + 38. Let l be (12/i)/(1/5). Solve 48*h**5 - h**2 - l*h**3 - 22*h**4 + 70*h**4 + h**2 - 3*h**2 = 0 for h.
-1, -1/4, 0, 1/4
Let r(m) = -24*m**2 + 348*m + 5051. Let p(y) = 39*y**2 - 522*y - 7577. Let d(z) = 5*p(z) + 8*r(z). Find g such that d(g) = 0.
-29
Let u(t) be the third derivative of -28/3*t**4 - 32/3*t**3 + 0 + 0*t - 16*t**2 - 49/15*t**5. Factor u(s).
-4*(7*s + 4)**2
Let -4/7*r**4 + 8/7*r - 10/7*r**3 + 20/7*r**2 + 2/7*r**5 - 16/7 = 0. Calculate r.
-2, -1, 1, 2
Let q = 2207/56 - 275/7. Factor -1/4*f + 0 + q*f**3 + 1/8*f**2.
f*(f - 1)*(f + 2)/8
Let o(v) = -9*v**2 + 90*v - 546. Let s(w) = 2*w**2 - 23*w + 136. Let a(r) = 5*o(r) + 21*s(r). Find k such that a(k) = 0.
-14, 3
Suppose -g + 3*i - 6 = 0, -4*i + 11 = 4*g - 45. Suppose 2*b - g = 4*r - 3, 0 = -5*r. Solve 2/13*w**b - 8/13*w - 4/13*w**2 + 16/13 = 0 for w.
-2, 2
Let z(w) = -13*w**3 + 53*w**2 + 120*w + 74. Let o(u) = 7*u**3 - 27*u**2 - 60*u - 38. Let l(g) = 5*o(g) + 3*z(g). Solve l(s) = 0 for s.
-1, 8
Factor 1/4*a + 1/2 - 1/4*a**2.
-(a - 2)*(a + 1)/4
Let y(o) be the third derivative of -o**7/70 + o**6/8 + 3*o**5/20 - 17*o**4/8 + 5*o**3 - o**2 + 418. Factor y(x).
-3*(x - 5)*(x - 1)**2*(x + 2)
Suppose 1 + 5 = b. Suppose 2*u - b + 4 = 0. Suppose 3 + u + 0*s**3 - 3*s**2 - 3*s**3 - 1 + 3*s = 0. What is s?
-1, 1
Let p(w) be the third derivative of w**7/315 + w**6/20 + 14*w**5/45 + w**4 + 16*w**3/9 - 34*w**2 - 2*w. Determine b so that p(b) = 0.
-4, -2, -1
Factor 572/5*g**3 + 0 + 16/5*g - 184/5*g**2 - 242/5*g**4.
-2*g*(g - 2)*(11*g - 2)**2/5
Let i be ((-2)/1 + 1)*-7. Let j(c) = i - c - 1 - 10*c**2 + 5*c**2. Let n(t) = -t**2 + t. Let f(y) = j(y) - 3*n(y). Factor f(r).
-2*(r - 1)*(r + 3)
Factor -2/3*w**2 - 14 + 20/3*w.
-2*(w - 7)*(w - 3)/3
Let c(b) be the second derivative of 1/46*b**4 + 0 + 1/69*b**3 - 3/23*b**2 - 1/230*b**5 - 11*b. Factor c(q).
-2*(q - 3)*(q - 1)*(q + 1)/23
Find l such that -20*l - 75*l**5 + 21*l**4 + 71*l**5 - 72*l**3 + 64*l**2 + 11*l**4 = 0.
0, 1, 5
Let i(k) be the first derivative of -3/8*k**3 + 1/16*k**4 + 1/120*k**6 - 3*k + 1/16*k**5 + 0*k**2 - 2. Let z(v) be the first derivative of i(v). Factor z(o).
o*(o - 1)*(o + 3)**2/4
Let w(u) be the first derivative of -3*u**4/4 - 11*u**3 - 105*u**2/2 - 75*u + 46. Factor w(j).
-3*(j + 1)*(j + 5)**2
Suppose 8*h = 3*h - 15, -3*b + 3*h + 198 = 0. Factor -4 + b*d + 30*d**3 + 60*d**2 + 13*d**4 - 13*d + 19 - 8*d**4.
5*(d + 1)**3*(d + 3)
Let p = 26 - 22. Let q = -1 + p. Determine a so that -2*a**5 + 4*a**q - 2*a**4 + 9*a**2 - 7*a**2