en that -5 - 17*z**5 + 153*z + 14*z**5 - 9 - 25 - 46*z**4 + 19*z**4 - 222*z**2 + 138*z**3 = 0.
-13, 1
Factor 0 - g**2 + 8*g + 23 - 30.
-(g - 7)*(g - 1)
Let v(x) be the second derivative of -x**6/120 - 23*x**5/40 + 3*x**4 - 73*x**3/12 + 49*x**2/8 + x - 47. Determine t, given that v(t) = 0.
-49, 1
Suppose 0 - 117/4*r - 1/4*r**2 = 0. What is r?
-117, 0
Let i = -3703 - -18516/5. Determine f, given that -i*f**3 + 2/5*f**2 - 2/5 + 1/5*f = 0.
-1, 1, 2
Let o(m) = -m**2 - 27*m + 1626. Let v be o(29). Factor 1/8*x**v + 1/2 - 1/2*x.
(x - 2)**2/8
Let d be (1 + 3 + -5)*0. Suppose d = -w + 5*w - 8. Suppose w*o**2 + 0 + 4/7*o = 0. What is o?
-2/7, 0
Let x = 6799 + -6799. Let x - 2/9*f**2 - 2/9*f = 0. Calculate f.
-1, 0
Let m(w) be the third derivative of -w**6/24 - w**5/4 + 5*w**4 - 70*w**3/3 + 97*w**2. Factor m(z).
-5*(z - 2)**2*(z + 7)
Suppose -6*c - 42 = -132. Let j be (-8)/(-5) - (-6)/c. Factor 2/7*m + 2/7*m**3 + 0 - 4/7*m**j.
2*m*(m - 1)**2/7
Let m(r) = -4*r + r**2 + 5*r + 4*r - 4. Let x be m(-6). Let 4*z**x + 2*z**3 + 0*z**3 + 0*z + 2*z + 0*z**2 = 0. What is z?
-1, 0
Suppose 2/5*y**2 + 162/5 - 36/5*y = 0. What is y?
9
Let z be (-118)/(-78) + (8 - (-138)/(-18)). Factor 8/13 - 50/13*f**2 + z*f + 18/13*f**3.
2*(f - 2)*(f - 1)*(9*f + 2)/13
Suppose 2*d - 167 = -167. Let m(a) be the second derivative of d - 2*a - 3/10*a**2 - 3/100*a**5 - 3/20*a**4 - 3/10*a**3. What is i in m(i) = 0?
-1
Suppose 3*x + 36 = -2*k, 0*x - 11 = 2*x - 3*k. Let s = x + 12. Factor -4*y**3 - 12*y**s - 17*y**4 + 11*y**4 + 3 - 12*y**3 - 1.
-2*(y + 1)**3*(3*y - 1)
Let b = -23 - -28. Let l(i) be the second derivative of -i**4/4 + 2*i**3/3 + 7*i**2/2 - i. Let y(u) = 4*u**2 - 4*u - 8. Let g(f) = b*y(f) + 6*l(f). Factor g(h).
2*(h + 1)**2
Let d(c) be the first derivative of c**6/1620 + c**5/270 - c**4/36 - 8*c**3/3 - 9. Let y(u) be the third derivative of d(u). Solve y(b) = 0.
-3, 1
Let l(b) be the third derivative of -7/48*b**5 + 0*b - 1/96*b**6 + 5/96*b**4 + 26*b**2 + 35/24*b**3 + 0. Suppose l(o) = 0. What is o?
-7, -1, 1
Let f = 17 + -15. Suppose p + 0*w = f*w + 10, 2*p - 5*w - 24 = 0. Solve -3*r + 0*r**p + 11*r + 4*r**2 = 0 for r.
-2, 0
Let g be -4 + 4 - (2/960)/(-1). Let n(b) be the third derivative of 0 - g*b**6 + 5*b**2 + 0*b + 1/120*b**5 + 0*b**3 - 1/96*b**4. Factor n(v).
-v*(v - 1)**2/4
Suppose -111 = -8*f + 73. Determine o so that -f + 2*o + 9 + 14 + 2*o**2 = 0.
-1, 0
Let p be 29/(-40) - (8/40 - 1). Let s(i) be the second derivative of 9*i - 1/12*i**3 + 1/12*i**4 + 0*i**2 + p*i**5 + 0. Find u, given that s(u) = 0.
-1, 0, 1/3
Suppose 84 = 34*n - 18. Let x(t) be the first derivative of 2/39*t**n - 2/13*t**2 - 10 + 2/13*t. Suppose x(z) = 0. What is z?
1
Factor 9*o**4 - 18*o**4 + 8*o**3 + 32*o**2 + 28*o + 8 - 4*o**5 + o**4.
-4*(o - 2)*(o + 1)**4
Suppose 1/2*q**3 + 0 - q - 1/2*q**2 = 0. Calculate q.
-1, 0, 2
Let m(i) = -4*i**4 - 46*i**3 - 150*i**2 + 766*i - 576. Let p(q) = -21*q**4 - 232*q**3 - 751*q**2 + 3829*q - 2880. Let h(d) = 22*m(d) - 4*p(d). Factor h(s).
-4*(s - 2)*(s - 1)*(s + 12)**2
Factor -768*o**2 - 2524 - 3*o**4 - 5668 - 64*o**3 + o**4 - 4096*o.
-2*(o + 8)**4
Suppose -3*d - 8 = -0*c + 2*c, d + 4 = 0. Let 12*a**3 + 12*a - 61 + 33 + 3*a**4 + 18*a**c + 31 = 0. What is a?
-1
Let k(u) be the first derivative of u**6/3 + 9*u**5/5 + 7*u**4/4 - 14*u**3/3 - 6*u**2 + 8*u + 39. Factor k(n).
(n - 1)*(n + 2)**3*(2*n - 1)
Let p(c) = -2*c + 2. Suppose 5*x + 1 + 19 = 0. Let r be p(x). Factor -r + 8*u**3 - 5*u**3 + 5*u**2 + 4*u**2 - 2.
3*(u - 1)*(u + 2)**2
Let g be ((-1)/2)/((-4)/24). Factor 11*h**g - 9 + 3*h**3 - 6*h**2 + 7 + 8 - 14*h.
2*(h - 1)*(h + 1)*(7*h - 3)
Solve -371 - 20*j**2 + 84*j - 10*j**2 + 3*j**3 + 299 = 0 for j.
2, 6
Let t(u) be the second derivative of u**6/30 + 3*u**5/5 + 4*u**4 + 40*u**3/3 + 24*u**2 + 317*u. Factor t(c).
(c + 2)**3*(c + 6)
Let r(u) = -2*u**3 + 9*u**2 - 11*u**2 - 13*u + 17 + u**3 + 15*u**2. Let t be r(12). Factor 5*q**3 + 3*q**5 - 4*q**3 - 4*q**t.
-q**3*(q - 1)*(q + 1)
Determine f so that -8*f**2 + 28*f + 49 - 65 + 7*f**3 - 11*f**3 = 0.
-4, 1
Let p(a) be the second derivative of a**6/30 - 59*a**5/20 + 57*a**4/4 - 169*a**3/6 + 28*a**2 + 481*a. Solve p(i) = 0.
1, 56
Let c(u) be the first derivative of -4*u**5/5 - 2*u**4 + 4*u**3/3 + 4*u**2 + 5. Factor c(a).
-4*a*(a - 1)*(a + 1)*(a + 2)
Factor 154*c + 43/2*c**3 + 76 + 1/2*c**4 + 99*c**2.
(c + 1)*(c + 2)**2*(c + 38)/2
Let c be (30/4)/3 + -6 + 664/144. Factor 16/9*y**2 + 2/9*y**4 + 0 - c*y**3 - 8/9*y.
2*y*(y - 2)**2*(y - 1)/9
Let h = -304 + 302. Let j be (12/16 - h/(-8))*0. Factor 2/3*t**2 + 2*t + j.
2*t*(t + 3)/3
Let y(j) be the third derivative of -1/70*j**5 + 0*j**3 - 1/735*j**7 + 0 - 1/84*j**4 + 0*j + 11*j**2 - 1/140*j**6. Suppose y(n) = 0. Calculate n.
-1, 0
Factor -10*a + 5*a**2 - 15*a - 29*a + 10*a - a.
5*a*(a - 9)
Let c(u) be the third derivative of 18*u**2 + 0 - 5/2*u**3 + 1/20*u**6 - 3/4*u**4 + 0*u + 9/20*u**5. Factor c(x).
3*(x - 1)*(x + 5)*(2*x + 1)
Let 11/2*v**4 + 0 - 19/2*v**3 + 2*v**2 + 2*v**5 + 0*v = 0. What is v?
-4, 0, 1/4, 1
Let v(u) be the second derivative of 5/18*u**3 + 0 - u**2 + 37/60*u**5 - 2/9*u**6 + 17/9*u**4 + 7*u. Find f, given that v(f) = 0.
-1, -2/5, 1/4, 3
Solve -2/7*c**5 + 20/7*c**4 - 52/7*c**3 - 36/7 + 54/7*c + 16/7*c**2 = 0.
-1, 1, 3, 6
Suppose -5*u + 2*b = -31, 4*b - 840 + 872 = 0. Factor -13/2*g - 4*g**2 - 3 - 1/2*g**u.
-(g + 1)**2*(g + 6)/2
Let t(k) be the first derivative of -k**5/70 + k**4/14 - 4*k**2/7 - 20*k - 15. Let v(w) be the first derivative of t(w). What is f in v(f) = 0?
-1, 2
Let c(x) be the first derivative of -x**3/33 + 3*x**2/22 + 18*x/11 - 187. Let c(t) = 0. What is t?
-3, 6
Suppose 4*f - 1 = -v + 5, 5*f = -v + 5. Suppose w + 4*a = -w - v, -10 = -3*w - a. Factor 6*l**3 - 3*l**3 + 14*l - 20 - 7 + 15*l**2 - w*l.
3*(l - 1)*(l + 3)**2
Let n(g) be the second derivative of g**9/10584 - g**8/2940 + g**6/630 - g**5/420 + 5*g**3/6 + 9*g. Let q(j) be the second derivative of n(j). Factor q(p).
2*p*(p - 1)**3*(p + 1)/7
Let v(r) = -3*r**5 + 15*r**4 - 5*r**3 - 55*r**2 + 85*r - 37. Let a(u) = -u**5 + u**4 + u**3 - u**2 + u - 1. Let t(q) = 5*a(q) - v(q). Factor t(h).
-2*(h - 1)**3*(h + 4)**2
Let f(y) be the second derivative of y**6/240 - y**5/20 + y**4/4 + 5*y**3/6 - 3*y. Let c(r) be the second derivative of f(r). Let c(k) = 0. Calculate k.
2
Solve 32/3 + 8*f + 2*f**2 + 1/6*f**3 = 0.
-4
Suppose -3*y - 54/7 - 1/7*y**2 = 0. Calculate y.
-18, -3
Let t(s) = 28*s**2 - 376*s + 12568. Let q(y) = y**2 + 3*y + 1. Let k(p) = 24*q(p) - t(p). Let k(z) = 0. Calculate z.
56
Let a(r) be the second derivative of r**7/168 + 25*r**6/12 + 625*r**5/2 + 78125*r**4/3 + 3906250*r**3/3 + 39062500*r**2 + 87*r. Solve a(j) = 0 for j.
-50
Suppose 350*a - 352*a + 4 = 0. Suppose -2/3*x + 2/3*x**a + 0 = 0. Calculate x.
0, 1
Suppose 0 = -o + 3 + 3. Let h = 8 - o. Factor 63*d + 2*d**h - 63*d - 2*d**4.
-2*d**2*(d - 1)*(d + 1)
Let v(t) be the second derivative of t**5/20 - t**4/3 - t**3/6 - 17*t**2/2 + 26*t. Let u be v(5). Let -3/2*m**4 + 6*m**u + 6*m - 9*m**2 - 3/2 = 0. Calculate m.
1
Let b(d) = -2*d**2 - 5*d + 8. Let k(c) = c**2 + 3*c - 4. Let z(m) = 6*b(m) + 10*k(m). Factor z(u).
-2*(u - 2)*(u + 2)
Let y(v) = -15*v**4 - 19*v**3 + 18*v**2 - 6*v - 2. Let u(k) = 45*k**4 + 57*k**3 - 53*k**2 + 19*k + 7. Let d(g) = 2*u(g) + 7*y(g). Factor d(t).
-t*(t + 2)*(3*t - 1)*(5*t - 2)
Let y(c) be the third derivative of -c**8/504 + 4*c**7/315 + 13*c**6/90 + 22*c**5/45 + 31*c**4/36 + 8*c**3/9 - 61*c**2 + 8. Let y(g) = 0. What is g?
-1, 8
Factor 24/5*m + 1/5*m**2 + 144/5.
(m + 12)**2/5
Determine x so that 0*x - 49/9*x**5 + 8/3*x**3 - 7/3*x**4 - 4/9*x**2 + 0 = 0.
-1, 0, 2/7
Suppose -789*t = -803*t + 98. Let y(k) be the first derivative of k**4 + 16/3*k**3 + 8*k - t + 10*k**2. Solve y(p) = 0.
-2, -1
Let s be 10090/(-3795) + 15/(5/1). Let a = s + -2/253. Factor -1 + a*t**2 - 2/3*t.
(t - 3)*(t + 1)/3
Factor -3136*z + 3*z**3 - 10*z**3 + 63*z**2 - 287*z**2 + 3*z**3.
-4*z*(z + 28)**2
Factor 145*m - 946 + 2177 - 1091 + 5*m**2.
5*(m + 1)*(m + 28)
Let m(n) be the third derivative of 9*n**6/80 - 53*n**5/20 + 39*n**4/4 + 10*n**3 - 888*n**2. Let m(i) = 0. What is i?
-2/9, 2, 10
Let o(d) be the second derivative of -d**4/78 - 11*d**3/39 + 42*d**2/13 - 3*d - 96. Determine x, given that o(x) = 0.
-14, 3
Let g(t) = -2*t**2 + 82*t - 152