*i**2/5 - 271. Factor j(q).
-q*(q - 4)*(q + 2)/5
Let w = 570 + -567. Let i = 189/4 + -47. Factor i*m + 0*m**2 + 0 - 1/4*m**w.
-m*(m - 1)*(m + 1)/4
Let 4/9*d**3 + 0*d + 2/3*d**2 + 0 - 2/3*d**4 - 4/9*d**5 = 0. What is d?
-3/2, -1, 0, 1
Let y(x) = x**4 - 17*x**3 + x**2 + 12*x + 3. Let t(z) = -z**4 + z**3 - z**2 + 1. Let o(j) = -5*t(j) - y(j). Find i such that o(i) = 0.
-2, -1, 1
Let z(b) be the first derivative of 3*b**5/10 - 9*b**4/8 - 3*b**3/2 + 33*b**2/4 - 9*b + 271. Find m such that z(m) = 0.
-2, 1, 3
Suppose 24*h + 26*h = 19*h - 35*h. Suppose 2*v**2 + 4/7*v + h + 6/7*v**3 = 0. What is v?
-2, -1/3, 0
Suppose -2*k - 1 = -9. Suppose i + 5*s = -13, -5*i + 1 = 3*s - 0. Factor -4*q - i*q**2 - 2*q + k*q.
-2*q*(q + 1)
Let m(h) be the second derivative of h**7/2520 - h**6/1080 - h**5/360 + h**4/72 + 5*h**3/6 - 7*h. Let a(l) be the second derivative of m(l). Factor a(z).
(z - 1)**2*(z + 1)/3
Suppose -4*y = -2*r + 6*r + 4, -y = 4. Factor -5 - 5*f - 48*f**3 - 15*f**2 + 20*f**2 + 53*f**r.
5*(f - 1)*(f + 1)**2
Let o(r) be the second derivative of 12*r + 9/2*r**3 + 3/20*r**5 + 3/2*r**4 + 0 + 0*r**2. Factor o(c).
3*c*(c + 3)**2
Let c(g) = 8*g**4 - 12*g**3 + 2*g**2 + 12*g - 1. Let x(z) = 17*z**4 - 23*z**3 + 3*z**2 + 23*z + 1. Let s(i) = 7*c(i) - 3*x(i). Solve s(q) = 0 for q.
-1, 1, 2
Find b such that -184*b + 2116*b**2 + 16/3 - 24334/3*b**3 = 0.
2/23
Let c(a) be the third derivative of -2*a**7/105 - 35*a**6/18 - 2579*a**5/45 - 725*a**4/18 + 3364*a**3/9 + 166*a**2. Solve c(v) = 0 for v.
-29, -1, 2/3
Let g = 131 + -121. Factor -2*t**2 - g*t - 7*t**2 - t**2 - 5*t**2 - 5*t**3.
-5*t*(t + 1)*(t + 2)
Let t = -1291 + 6458/5. Factor -1/5*d**2 + t + 2/5*d.
-(d - 3)*(d + 1)/5
Let z = -1600 + 1602. Solve -z*q**2 - 10/7 + 22/7*q + 2/7*q**3 = 0 for q.
1, 5
Let v = -57 + 629/11. Let r(l) be the first derivative of -2/33*l**3 - 2 - v*l**2 - 2/11*l. Let r(p) = 0. Calculate p.
-1
Let u be 273/(-2457) + (-19)/(-9). Factor -4/7*p**u + 0*p + 16/7.
-4*(p - 2)*(p + 2)/7
Let o(y) be the third derivative of -y**8/10080 + y**6/360 - y**5/90 + 5*y**4/8 + 14*y**2. Let h(t) be the second derivative of o(t). Solve h(l) = 0.
-2, 1
Suppose 3*u + 24 = 5*c - 0*u, c + 12 = -5*u. Solve -z**2 + 219*z**c + 3*z**4 - 3*z**4 + z**4 - 3*z - 216*z**3 = 0 for z.
-3, -1, 0, 1
Let v = -527 - -6853/13. Solve 54/13*i + v*i**3 + 54/13 + 18/13*i**2 = 0.
-3
Let d(u) be the first derivative of u**6/18 - 2*u**5/15 + u**4/12 + 86. Factor d(k).
k**3*(k - 1)**2/3
Let i(d) = -4 + 2*d**2 - 7*d + 4 - 5*d + 8*d + 8. Let g be 40/7 - 2/(-7). Let f(q) = -1. Let m(u) = g*f(u) + i(u). Factor m(p).
2*(p - 1)**2
Suppose 0 + 0*s + 10*s**2 + 37/3*s**3 - 1/3*s**5 + 2*s**4 = 0. Calculate s.
-3, -1, 0, 10
Suppose -13*f = -6*f + 315. Let q = f - -49. Factor 0*m**2 - 1/5*m**q + 2/5*m - 2/5*m**3 + 1/5.
-(m - 1)*(m + 1)**3/5
Let d(b) be the first derivative of -b**4/2 + 2*b**3/3 + 4*b**2 - 8*b + 87. Let d(g) = 0. What is g?
-2, 1, 2
Suppose -26 = -3*y + 22. Suppose -12 = 2*s - y. Factor 0 - 4/5*n**s + 2/5*n**3 + 2/5*n.
2*n*(n - 1)**2/5
Let k(q) be the second derivative of -q**7/147 + q**6/35 + 9*q**5/70 + 5*q**4/42 - 7*q + 2. Solve k(x) = 0.
-1, 0, 5
Let f(i) = i**3 + 16*i**2 + 15*i + 4. Let s be f(-15). Let o(g) be the second derivative of g + 0*g**2 + 0*g**3 - 1/8*g**s + 0. Factor o(c).
-3*c**2/2
Suppose -3*g = -5*m + 210, -2*m = -11*g + 12*g - 95. Let p be 1/5 - 1/(m/(-216)). Suppose 0*v + 0*v**4 + 0 - 1/3*v**2 - 1/6*v**p + 1/2*v**3 = 0. Calculate v.
-2, 0, 1
Let z(s) be the second derivative of -s**4/21 - 23*s**3/21 + 12*s**2/7 - 2*s + 94. Factor z(l).
-2*(l + 12)*(2*l - 1)/7
Let w(c) be the second derivative of -c**7/84 - 7*c**6/20 - 17*c**5/4 - 325*c**4/12 - 375*c**3/4 - 625*c**2/4 + 2*c + 221. Factor w(y).
-(y + 1)*(y + 5)**4/2
Let v = -16 - -21. Suppose -v*x + 125 = 2*k + 36, 6 = 3*k. Let 0 - x*d**2 + 4 - 2*d + 31*d**2 - 16*d**2 = 0. Calculate d.
-2, 1
Let n(a) be the third derivative of -a**10/105840 + a**8/23520 - 7*a**4/12 - 20*a**2. Let g(v) be the second derivative of n(v). Let g(b) = 0. Calculate b.
-1, 0, 1
Determine b, given that -591*b + 1117*b - 562*b + 4*b**2 = 0.
0, 9
Suppose -118 + 374 = 128*h. Suppose 0*z - 5*z + 25 = 0, 3*c - 5*z + 25 = 0. What is i in -4/5*i**h + 2/5*i**3 + c*i + 0 = 0?
0, 2
Let u(t) be the first derivative of -t**6/24 - t**5/10 + 3*t**4/16 - 75. Solve u(y) = 0.
-3, 0, 1
Let y(i) be the third derivative of 5*i**8/672 - i**7/14 - 11*i**6/48 + 5*i**5/2 + 125*i**4/12 - 32*i**2. Factor y(g).
5*g*(g - 5)**2*(g + 2)**2/2
What is z in -1146/11*z**3 + 1300/11*z**2 - 200/11*z**4 + 0 - 8/11*z**5 - 338/11*z = 0?
-13, 0, 1/2
Let g(z) be the third derivative of z**8/10080 + z**7/504 + z**6/60 - z**5/12 + 6*z**2. Let b(h) be the third derivative of g(h). Find n such that b(n) = 0.
-3, -2
Let k(x) be the second derivative of -81*x**7/28 + 18*x**6 - 177*x**5/5 + 20*x**4 - 4*x**3 + 3*x - 25. Let k(j) = 0. What is j?
0, 2/9, 2
Let w be 0*(12/(-3) - -5). Let k(x) be the third derivative of -1/672*x**8 + 0*x**7 + 1/60*x**5 + 1/80*x**6 - 2*x**2 + w*x**3 + 0*x**4 + 0*x + 0. Factor k(y).
-y**2*(y - 2)*(y + 1)**2/2
Let 2*w**3 - 80867 + 4*w**2 - 2*w**4 + 80867 = 0. Calculate w.
-1, 0, 2
Let a(n) be the second derivative of n**4/30 + 11*n**3/5 - 3*n - 21. Factor a(h).
2*h*(h + 33)/5
Let j(o) be the second derivative of o**8/2520 + o**7/1260 - o**6/540 - o**5/180 - o**3/3 - 4*o. Let p(x) be the second derivative of j(x). Factor p(w).
2*w*(w - 1)*(w + 1)**2/3
Suppose 0 = -2*j - 2*q + 2, 2*j - 6*j - 2*q + 6 = 0. Solve 25*s + 4*s + 2*s**3 + s + 16*s**j - 2*s**2 + 18 = 0.
-3, -1
Let c = 37 - 109. Let i be 5*(c/(-20) + -2). Factor 3*z**3 + 18*z**2 + i + 0 + 36*z + 16.
3*(z + 2)**3
Suppose 23 = 5*t + 2*x, -16 = -50*t + 46*t - x. Let -49152/5*f - 4608/5*f**2 - 192/5*f**t - 196608/5 - 3/5*f**4 = 0. Calculate f.
-16
Let l(y) be the third derivative of 1/1260*y**7 + 0*y**3 - 19*y**2 + 0*y - 1/360*y**5 + 1/240*y**6 + 0 - 1/48*y**4. Determine h, given that l(h) = 0.
-3, -1, 0, 1
Let u = 110/3 - 211/6. Suppose u*q - 1/2*q**2 - 1 = 0. What is q?
1, 2
Let q(o) be the second derivative of o**5/20 + 35*o**4/12 + 17*o**3/3 + 844*o. Factor q(j).
j*(j + 1)*(j + 34)
Factor -4/7 + 2/7*r + 2/7*r**2.
2*(r - 1)*(r + 2)/7
Let w be 100/45 + (-3 - 100/(-36)). Let b(v) be the first derivative of 9*v**3 + 21/4*v**4 + 15/2*v**w + 3*v + 1 + 6/5*v**5. Determine r, given that b(r) = 0.
-1, -1/2
Let x be (96/(-84))/(6/(-21)). Let n(a) be the first derivative of 0*a**3 + 11 - 12/25*a**5 + 0*a**2 + 3/5*a**x - 3/10*a**6 + 0*a. Factor n(q).
-3*q**3*(q + 2)*(3*q - 2)/5
Suppose 43 = 4*r - 309. Suppose -r*i = -87*i. Solve 6/5*w**2 + i + 0*w**3 - 4/5*w - 2/5*w**4 = 0.
-2, 0, 1
Suppose 0 = -3*v + v + 16. Suppose u - v = -3. Factor -2*y**2 + y**2 + 3*y**3 + 3*y**2 - y**u.
-y**2*(y - 2)*(y + 1)**2
Let q = 30971/35 - 4423/5. Factor -4/7*w**2 - 2/7*w + 0 - q*w**3.
-2*w*(w + 1)**2/7
Let b(c) be the second derivative of -c**6/15 + 3*c**5/10 - 4*c**3/3 - 34*c. What is r in b(r) = 0?
-1, 0, 2
Let a = 8011/15 + -534. Let v(o) be the second derivative of -6*o + 3/50*o**5 + 0*o**2 - 1/15*o**4 - 4/105*o**7 + 4/75*o**6 - a*o**3 + 0. Factor v(k).
-2*k*(k - 1)**2*(2*k + 1)**2/5
Factor 0*w**3 + 28/3*w - 86/9*w**2 + 2/9*w**4 + 0.
2*w*(w - 6)*(w - 1)*(w + 7)/9
Let k(s) be the second derivative of 5*s**7/42 + 13*s**6/2 + 159*s**5/2 - 2995*s**4/6 + 2135*s**3/2 - 2205*s**2/2 - 119*s. Factor k(a).
5*(a - 1)**3*(a + 21)**2
Let v be (-3 + 8)/(3/9). Suppose 0 = -9*y - v + 69. What is o in y*o + 6*o**2 + 3/2 = 0?
-1/2
Factor 10*r**2 + 7*r - 5*r + 13*r - 6 + 7*r - 2*r**2.
2*(r + 3)*(4*r - 1)
Suppose -5*r + 9 = 2*t, -7*r + 2*r + 13 = 4*t. Suppose -2*h + 14 = 2*b - 0*h, r = -2*b + 3*h. Factor 10*g**2 - 6*g**2 - 19*g + 5*g + 6*g**3 + b + 0*g**3.
2*(g - 1)*(g + 2)*(3*g - 1)
Let r(z) = -z**2 - 7*z - 4. Let i be r(-6). Let s(n) = -n**3 + 2*n**2 + 6*n + 4. Let a be s(0). Factor 0*w**4 - 2*w**a + 48*w**i - 46*w**2.
-2*w**2*(w - 1)*(w + 1)
Let t = -39 + 118/3. Suppose -3*q + 5 = 2*q. Factor t*h**2 - q + 2/3*h.
(h - 1)*(h + 3)/3
Let u be (-8)/10 + (-45036)/(-495). Let c = -90 + u. Factor -8/11*v**2 + 6/11*v + c*v**3 + 0.
2*v*(v - 3)*(v - 1)/11
Suppose 0 = 6*t + 2 + 10. Let c be (17/4 + -5)*t. Factor -1 - 1/2*r**2 + c*r.
-(r - 2)*(r - 1)/2
Let -1 + 5/4*c - 1/8*c**3 - 1/8*c**2 = 0. What is c?
-4