29 + 144/264. Factor -2*t + w*t**2 - 12/13.
2*(t - 3)*(5*t + 2)/13
Let a(p) = -6*p**2 - 19*p + 55. Suppose 8*j + 91 = -21. Let h(l) = -2*l**2 - 6*l + 18. Let v(q) = j*h(q) + 4*a(q). Factor v(b).
4*(b - 2)*(b + 4)
Let h(u) = 17*u**3 + 96*u**2 - 7*u. Let a(w) = 9*w**3 + 47*w**2 - 4*w. Let y(p) = 7*a(p) - 4*h(p). Let y(i) = 0. Calculate i.
-11, 0
Suppose 0 = 3*b + 3 - 12. Suppose -b*r = r - 8. Factor 2*a - 9*a**r + 12*a**2 + 9*a**3 - 2*a.
3*a**2*(3*a + 1)
Let u be (-1 - 4)/(-5) + 2. Factor -g**2 + 3*g**5 + 3*g**4 + 11*g**3 - 10*g**4 - 6*g**u + 0*g**2.
g**2*(g - 1)**2*(3*g - 1)
Let f(r) = r**2 + 1. Let p be (-34)/17 - 8*2. Let b be (4/(-8))/((-3)/p). Let d(z) = -5*z**3 + 11*z**2 - z + 1. Let w(x) = b*f(x) + d(x). Solve w(i) = 0.
-2/5, 1
Let m(y) be the third derivative of 3*y**5/100 + 13*y**4/20 + 169*y**3/30 + y**2 - 3*y. Factor m(h).
(3*h + 13)**2/5
Suppose -6*y = -4*y. Suppose y = -2*n + p + 21, 5*n - 60 = 5*p - 0*p. Factor 24 - 6 - 6*s - s**2 - 2*s**3 - n*s**2.
-2*(s - 1)*(s + 3)**2
Suppose 0*t**2 + 0*t + 0*t**3 + 0 - 1/5*t**4 = 0. What is t?
0
Suppose -x - 3*s + 17 = 0, -16 = -4*s - 0. Determine v so that -1 + 11 - 10 + x*v**2 + 10 - 15*v = 0.
1, 2
Let o = 23 - 56. Let u = o - -299/9. Let 0 - 2/9*l - u*l**2 = 0. What is l?
-1, 0
Let x(z) be the third derivative of -2*z + 0*z**4 + 0 - 1/2*z**6 + 0*z**3 + 12/5*z**5 + 31*z**2 + 1/84*z**8 - 4/105*z**7. Factor x(t).
4*t**2*(t - 3)**2*(t + 4)
Let s(a) = -a**3 + 6*a**2 + 6*a + 7. Let l be s(7). Suppose -4*y + 3*y + 7 = l. Factor 8*n + 12*n**3 + 20*n**2 - y*n**4 - 3*n**4 - 4*n**5 + 6*n**4.
-4*n*(n - 2)*(n + 1)**3
Find p, given that -15*p**2 - 57/2 - 173/4*p - 1/4*p**3 = 0.
-57, -2, -1
Let i(d) be the first derivative of 20*d - 8 - 5/3*d**3 + 0*d**2. What is m in i(m) = 0?
-2, 2
Let i = -998319/19 - -52545. Factor -16/19 + 10/19*s**3 + 24/19*s + i*s**2.
2*(s + 2)**2*(5*s - 2)/19
Factor 24/7*m**2 - 4/7*m**3 - 36/7*m + 0.
-4*m*(m - 3)**2/7
Let a(n) be the first derivative of -n**6/135 - n**5/18 - 7*n**4/54 - n**3/9 - 4*n - 6. Let s(z) be the first derivative of a(z). Let s(y) = 0. Calculate y.
-3, -1, 0
Let t = -577 + 579. Let j = -139 + 697/5. Factor -6/5 - j*a**t + 8/5*a.
-2*(a - 3)*(a - 1)/5
Let v = -63 - -65. Let 5*d**v - 2*d**2 - 5*d**2 + d**3 + 3*d**2 = 0. Calculate d.
-1, 0
Factor 65/4*k**2 + 0 - 5/4*k**3 + 75/2*k.
-5*k*(k - 15)*(k + 2)/4
Suppose -3*q + 56 = -0*y + 5*y, -58 = -5*y - 4*q. Factor 4*f**3 - 12 + 9*f**3 - y*f**3 + 9*f**2.
3*(f - 1)*(f + 2)**2
Let x(y) be the second derivative of 11*y**4/4 - 18*y**3 + 27*y**2/2 - 14*y - 5. Factor x(g).
3*(g - 3)*(11*g - 3)
Let i = -15341 + 15601. Factor 28/3*h**4 + 96*h**3 + 200/3*h + 0 + i*h**2.
4*h*(h + 5)**2*(7*h + 2)/3
Let i(d) = -d**2 + 15*d - 36. Let q(b) = -12*b**2 + 168*b - 396. Let c(t) = -68*i(t) + 6*q(t). What is p in c(p) = 0?
-6, 3
Let n be (2992/(-55))/(-34) - (6/(-15) + 0). Let 3/2*q - 2/3 + 14/3*q**n = 0. What is q?
-4/7, 1/4
Suppose -4*d + 10 = -6*q + 3*q, 2*d = 8*q - 8. Let o be (-7)/18 - (-3)/6. Factor 0 - o*j**3 + 1/9*j + 0*j**q.
-j*(j - 1)*(j + 1)/9
Let j be 1/3 - (-3 - 7/(-21)). Let a(q) be the third derivative of -1/330*q**5 - 3*q**2 + 0 + 0*q - 4/33*q**j - 1/33*q**4. Determine o so that a(o) = 0.
-2
Let w(g) be the first derivative of -g**4 + 4*g**3/3 + 4*g**2 + 33. What is o in w(o) = 0?
-1, 0, 2
Let i(s) be the second derivative of -3*s**6/2 + 87*s**5/2 - 6305*s**4/12 + 10150*s**3/3 - 12250*s**2 + 595*s. Factor i(w).
-5*(w - 5)**2*(3*w - 14)**2
Determine n so that 2/5*n**2 + 172/5*n + 3698/5 = 0.
-43
Determine h so that -1/2*h**2 + 23/2*h + 0 = 0.
0, 23
Suppose -q - 24*q + 82 = 7. Solve 4 + 1/2*h**3 + q*h**2 + 6*h = 0.
-2
Suppose -33*o + 28 + 38 = 0. Let f(b) be the second derivative of 1/18*b**3 - 1/36*b**4 - b + 0 + 0*b**o. Let f(n) = 0. Calculate n.
0, 1
Let n(a) = -42*a**3 - 72*a**2 - 33*a + 9. Let v(c) = 125*c**3 + 216*c**2 + 97*c - 26. Let p(f) = -8*n(f) - 3*v(f). Solve p(g) = 0.
-1, 2/13
Suppose 4*g + t - 5 = 3, t = 4*g - 16. Let k(u) be the second derivative of 7*u + 1/12*u**4 + 1/10*u**5 + 0*u**2 + 0 - 1/30*u**6 - 1/3*u**g. Factor k(n).
-n*(n - 2)*(n - 1)*(n + 1)
Let v(q) = -q**5 + q**3 - 1. Let s(r) = -r**5 + 4*r**3 - 3*r + 2. Let b(y) = s(y) + 2*v(y). Let b(u) = 0. Calculate u.
-1, 0, 1
Suppose 64/5 + 56/5*j**3 - 288/5*j - 51/5*j**4 + 212/5*j**2 + 7/5*j**5 = 0. What is j?
-2, 2/7, 1, 4
Suppose 27*v**3 + 4*v**2 - 7*v**3 - 4*v**4 - 9*v**3 + 4*v**5 - 15*v**3 = 0. What is v?
-1, 0, 1
Let g = -55 - -57. Factor -2*w**2 - 5*w**4 - 2*w**g + 3*w**2 + 6*w**2.
-5*w**2*(w - 1)*(w + 1)
Let p(b) be the first derivative of 5/9*b**3 - 5/12*b**4 - 2 - 1/18*b**6 + 0*b - 1/3*b**5 + b**2. What is f in p(f) = 0?
-3, -2, -1, 0, 1
Let k = -10127 + 40553/4. Factor 6*u**3 - k*u**4 + 0 + 25/4*u**5 - u**2 + 0*u.
u**2*(u - 1)*(5*u - 2)**2/4
Let h be (38/4)/((-10)/(-20)). Suppose -a - h = -4*u, -3*a = -2*u + 5 + 12. Determine t, given that 49/4*t**5 - 77/4*t**u + 1 + 73/4*t**2 - 17/4*t**3 - 8*t = 0.
-1, 2/7, 1
Let k = 1/167 + 165/334. Factor -1/2*u**4 + k*u**5 + 0*u**3 + 0*u + 0*u**2 + 0.
u**4*(u - 1)/2
Let k(z) = 12*z + 62. Let s be k(-5). Let h(x) be the third derivative of 0 - 5*x**s + 1/510*x**5 + 0*x + 1/204*x**4 + 0*x**3. Factor h(a).
2*a*(a + 1)/17
Let d(r) be the third derivative of -r**8/6720 + r**7/140 - 3*r**6/20 + r**5/60 - 11*r**3/6 - 28*r**2. Let t(g) be the third derivative of d(g). Solve t(q) = 0.
6
Let v(r) = -r**3 + 3*r**2 - 1. Let c(i) = -i**2 + 1. Let z(y) = c(y) + v(y). Factor z(a).
-a**2*(a - 2)
Let c(i) = i**2 + 2*i + 4. Let d be c(-3). Let a(f) = -f - 14. Let u be a(-16). Find g, given that d*g - 7*g**u + 2*g**5 - 11*g + g**2 + 6*g**4 + 2*g**3 = 0.
-2, -1, 0, 1
Let k(g) be the second derivative of 2*g**7/21 - 28*g**6/15 + 5*g**5 - 4*g**4 + g + 5. Factor k(n).
4*n**2*(n - 12)*(n - 1)**2
Let r = -1980 - -13861/7. Factor -5/7*a + r*a**2 + 4/7.
(a - 4)*(a - 1)/7
Let w = -17165/3 + 5723. Determine v, given that 14/3*v**2 - w + 10/3*v = 0.
-1, 2/7
Let w be ((-12)/150)/((-72)/40). Let g(c) be the second derivative of 0*c**2 + w*c**6 + 2/15*c**5 + 0*c**4 + 0 - c + 0*c**3. Factor g(l).
4*l**3*(l + 2)/3
Let i(d) = -d**3 + d + 2. Suppose 0 = -n - n + 5*f - 15, 0 = -4*n + f - 3. Let o be i(n). Factor 2*c**2 - 2*c**2 + o*c**2 + 0*c**2 - 3*c + c**3.
c*(c - 1)*(c + 3)
Factor 90*u**2 + 72*u + 82*u**2 + 3*u**3 - 196*u**2 + 81*u**2 - 2160.
3*(u - 5)*(u + 12)**2
Solve 2/3*p**3 + 8*p**2 + 28/3 - 18*p = 0 for p.
-14, 1
Let x(k) be the third derivative of -55*k**8/336 - 3*k**7/14 + k**6 - k**5/3 - 10*k**2 - k. Let x(f) = 0. Calculate f.
-2, 0, 2/11, 1
Let x = 194 - 192. Factor 48/13*n + 32/13 + 2/13*n**3 + 18/13*n**x.
2*(n + 1)*(n + 4)**2/13
Determine d so that 22/21*d**2 - 26/21*d + 10/21*d**3 - 2/7 = 0.
-3, -1/5, 1
Let x be 2 + -1 + 5 + 0. Let m = x - 0. Find z such that -16*z + 3*z**2 - 5*z**2 + 4*z**3 - 16 + m*z**2 = 0.
-2, -1, 2
Let b(f) be the second derivative of 0 + 46*f - 3/2*f**3 + 3*f**2 + 1/4*f**4. Factor b(d).
3*(d - 2)*(d - 1)
Let i(z) be the first derivative of -6*z**6 - 177*z**5/5 - 135*z**4/2 - 35*z**3 + 18*z**2 + 12*z - 68. Determine a so that i(a) = 0.
-2, -1, -1/4, 1/3
Let y = 11150/13041 + 4/1863. Determine b so that y - 3/7*b**3 + 3/7*b - 6/7*b**2 = 0.
-2, -1, 1
Let f(n) be the first derivative of 4*n**6/27 - 2*n**5/15 - 25*n**4/18 + 20*n**3/27 + 4*n**2 + 16*n/9 + 171. Let f(i) = 0. Calculate i.
-2, -1, -1/4, 2
Let q be 3/2*(-4)/(-3). Let m be 0/(-2)*q/6. Let 0 + 0*g**3 + m*g**2 + 8/9*g**5 + 2/9*g**4 + 0*g = 0. Calculate g.
-1/4, 0
Let m(h) be the third derivative of -h**8/8960 + h**7/1680 - h**6/960 + h**4/12 - h**2. Let z(b) be the second derivative of m(b). Factor z(o).
-3*o*(o - 1)**2/4
Let p = 2604 - 2604. Factor -x**3 - 1/3*x**4 + 0*x - 2/3*x**2 + p.
-x**2*(x + 1)*(x + 2)/3
Find r such that -3*r**4 + 800*r - 6*r**3 + 76*r**3 + 24*r**2 - 640 - 2*r**4 - 384*r**2 = 0.
2, 4
Factor -1184 - 31*r**3 - 2112*r + 27*r**3 - 1120 + 188*r**2.
-4*(r - 24)**2*(r + 1)
Let t = 171 + -185. Let v be ((-40)/6)/(-2) + (-14 - t). Factor -v*l + 4/3 - 2/3*l**3 + 8/3*l**2.
-2*(l - 2)*(l - 1)**2/3
Let i(g) be the third derivative of -g**6/480 + g**5/240 + g**4/24 - g**3/6 + 107*g**2. Solve i(x) = 0 for x.
-2, 1, 2
Suppose -6*w = -2*w - 12. Let a be 8 + (42/(-12) - (-4)/(-8)). What is d in -2/7*d**a + 0*d + 0 - 6/7*d**w - 4/7*d**2 = 0?
