-18))/(3/(-4)). Let k(j) = -j**2 + 2*j**f + 0*j**2 + j. Let u(b) = 6*k(b) - y(b). Factor u(t).
2*t*(t - 1)
Let a(k) = -15*k + 18. Let y be a(1). Let c be (18/8 + -2)*1. Find g, given that -1/4*g**2 + c - 1/4*g**y + 1/4*g = 0.
-1, 1
Let i = -17 - -96. Factor 82*f**3 + f**2 - 10*f**2 + 81*f - 81 - i*f**3 - 18*f**2.
3*(f - 3)**3
Let t be (-5)/(-2)*12/(-10). Let u(n) = -3*n**3 - 3*n**2 - 3*n. Let i(s) = s**4 + 3*s**3 + 4*s**2 + 4*s. Let w(x) = t*i(x) - 4*u(x). Factor w(v).
-3*v**3*(v - 1)
Let a(v) = 3*v + 9. Let z be a(13). Factor 27*s**4 - z*s + 40*s**3 + 5*s**5 - 8*s**2 - 11 + 1 - 6.
(s - 1)*(s + 2)**3*(5*s + 2)
Let p(n) = -n**3 + 6*n**2 + 2*n - 10. Let z = 2 - -4. Let u be p(z). Factor -24*q**u - 24*q**2 + 52*q**2 - 12*q.
4*q*(q - 3)
Solve 229 + 260*v - 323*v**2 - 92 - 5*v**4 + 73*v**2 + 118 - 260*v**3 = 0 for v.
-51, -1, 1
Let 160*r - 328*r - 4*r**2 + 32 + 160*r = 0. What is r?
-4, 2
Let w(g) be the first derivative of 0*g**2 + g**3 - 22 - 4*g - 1/4*g**4. Find q, given that w(q) = 0.
-1, 2
Factor -13*y**2 + 28*y**2 + 2*y**3 - 16*y**2 - 7*y**2 - 62*y**2.
2*y**2*(y - 35)
Let i = 1 + -1. Suppose i = b - 0 - 2. Solve -b*z + 36*z**2 + 65*z + 33*z + 64 + 4*z**3 = 0.
-4, -1
Let v(d) be the third derivative of 31*d**5/60 - d**4/8 - d**3/3 + 8*d**2. Let s be v(-2). Factor w - 10*w**2 - s*w**3 + 3*w + 122*w**3.
-2*w*(w + 2)*(3*w - 1)
Let i(y) be the third derivative of y**7/280 + y**6/120 - 8*y**3/3 - 16*y**2. Let w(x) be the first derivative of i(x). Determine p, given that w(p) = 0.
-1, 0
Let c(l) = -2*l**2 - 2*l + 27. Let a be c(-4). Let o(k) be the first derivative of 7 + 5*k**2 - 5/4*k**4 - 5/3*k**a + 0*k. Determine v, given that o(v) = 0.
-2, 0, 1
Suppose 4/11*z**2 + 8/11 + 2/11*z**3 - 14/11*z = 0. Calculate z.
-4, 1
Let r = 3801 + -7601/2. Factor 5/2*p + r*p**2 + 2.
(p + 1)*(p + 4)/2
Solve -3/2*t**2 + 0 + 3*t**3 + 1/3*t**5 + 0*t - 11/6*t**4 = 0 for t.
0, 1, 3/2, 3
Let u(a) be the second derivative of -2*a**6/15 - 8*a**5/5 - a**4 + 64*a**3/3 + 56*a**2 - 13*a + 2. Solve u(t) = 0 for t.
-7, -2, -1, 2
Let z(p) be the third derivative of 0*p**4 + 2/15*p**5 - 4/105*p**7 + 0*p**3 + 0*p - 20*p**2 - 1/12*p**8 + 7/30*p**6 + 0. Solve z(i) = 0.
-1, -2/7, 0, 1
Let k(d) be the second derivative of 3*d**6/25 + 39*d**5/50 + 21*d**4/10 + 3*d**3 + 12*d**2/5 + 2*d + 43. What is f in k(f) = 0?
-4/3, -1
Let b(m) be the second derivative of m**6/280 - m**5/70 - m**4/56 + m**3/7 - 5*m**2 + 6*m. Let i(w) be the first derivative of b(w). Find p such that i(p) = 0.
-1, 1, 2
Let j = 343/554 + -33/277. Suppose 1/6*s**3 - 1/2*s**2 + j*s**4 - 1/6*s + 0 = 0. Calculate s.
-1, -1/3, 0, 1
Factor -31*n - 45*n + 10 - 8*n**3 + 22 - 2*n**4 + 54*n**2.
-2*(n - 2)*(n - 1)**2*(n + 8)
Let s(f) = 21*f**3 + 11*f**2 - f - 7. Let d(c) = 26*c**3 + 12*c**2 - c - 7. Let r(i) = 4*d(i) - 5*s(i). Factor r(v).
-(v - 1)*(v + 1)*(v + 7)
Let h(l) be the second derivative of -7*l**5/4 + 145*l**4/4 + 130*l**3/3 + 322*l. Factor h(a).
-5*a*(a - 13)*(7*a + 4)
Suppose -180*o = -176*o - 16. Let i(s) be the third derivative of 1/315*s**7 + 1/9*s**4 + 0*s - o*s**2 + 1/15*s**5 + 1/45*s**6 + 1/9*s**3 + 0. Factor i(b).
2*(b + 1)**4/3
Let m(y) = 10*y**2 - 139*y - 12. Let r be m(14). What is b in 4/3 - 5/3*b + 1/3*b**r = 0?
1, 4
Suppose -121*w - 52 + 249 + 166 = 0. Find n such that 1/3*n**2 + 0 - 1/3*n**4 + 1/3*n - 1/3*n**w = 0.
-1, 0, 1
Suppose 15/4*b**2 + 0 + 9/4*b = 0. Calculate b.
-3/5, 0
Let j(a) = 240*a**2 - 2605*a + 22850. Let g(w) = 17*w**2 - 186*w + 1632. Let x(m) = -85*g(m) + 6*j(m). Let x(i) = 0. Calculate i.
18
Factor -20*c + 5/2*c**3 + 0 + 5*c**2.
5*c*(c - 2)*(c + 4)/2
Factor 6*m**3 - 15*m - 9/2*m**2 + 3/2*m**4 + 12.
3*(m - 1)**2*(m + 2)*(m + 4)/2
Suppose 5*k - 2*n = -17, -2*k + n = -6*k - 11. Let s be k - (-3)/(9/15). Factor -5 + 245*p**3 - 240*p**3 - 2*p**2 - 5*p + 7*p**s.
5*(p - 1)*(p + 1)**2
Let y be 20/100*-15*(-3)/18. Find o such that -3/2*o**3 + y*o**2 + o + 0 = 0.
-2/3, 0, 1
Suppose 6 = 16*u - 13*u. Find f, given that 14 - 6*f + f**u - 14 = 0.
0, 6
Let u = 171 + -140. Suppose -4*k + u = 23. Solve 1/9*y**4 + 7/9*y**3 + 8/9 + 2*y**k + 20/9*y = 0 for y.
-2, -1
Let f(a) = a**3 - 28*a**2 - 62*a + 62. Let k be f(30). Determine j, given that -2*j**2 + 3*j**k + 0 - 62*j**3 + 61*j**3 + j - 1 = 0.
-1, 1
Let g(q) be the third derivative of 6*q**2 - 1/120*q**6 + 0 + 1/24*q**4 + 1/30*q**5 + 0*q - 1/3*q**3. Factor g(b).
-(b - 2)*(b - 1)*(b + 1)
Factor 45/8*h - 3/8*h**2 - 21/4.
-3*(h - 14)*(h - 1)/8
Factor -18/11 + 2/11*i**3 - 34/11*i - 14/11*i**2.
2*(i - 9)*(i + 1)**2/11
Let q(g) be the second derivative of -g**6/90 - g**5/20 + g**4/9 - 7*g + 1. Factor q(f).
-f**2*(f - 1)*(f + 4)/3
Factor -1/8*v**2 + 1/8*v - 1/8*v**3 + 1/8.
-(v - 1)*(v + 1)**2/8
Solve -2*w**2 + 238 - 719 + 92*w - 577 = 0 for w.
23
Let i(y) be the third derivative of -1/840*y**7 + 0 - 13/240*y**5 - 9*y**2 - 1/80*y**6 - 1/6*y**3 - 1/8*y**4 + 0*y. Factor i(v).
-(v + 1)**2*(v + 2)**2/4
Factor 2*w**5 + 7*w - 15*w**3 + 75*w**3 + 11*w + 24*w**4 + 56*w**2.
2*w*(w + 1)**3*(w + 9)
Let b(x) be the first derivative of 16 + 2/21*x**3 + 8/7*x - 4/7*x**2. What is p in b(p) = 0?
2
Let f = 122 - 122. Let y be (-5 - f) + 9 + -2. Solve 1/2*i + 0 - 1/2*i**y = 0.
0, 1
Let l = 29/4 + -71/12. Suppose 4*v - 3 = -5*o - 25, -4*o - 22 = v. Determine j, given that 8/3 - l*j**5 + 32/3*j**v + 28/3*j + 8/3*j**3 - 8/3*j**4 = 0.
-1, 2
Let z(v) = -2*v**2 + 10*v - 14. Let j(a) = -a**2 + a + 3. Let s(c) = -2*j(c) - z(c). Find q, given that s(q) = 0.
1, 2
Find z such that 64/9*z - 2/9*z**5 + 8/9*z**2 - 22/9*z**4 + 0 - 16/3*z**3 = 0.
-8, -2, 0, 1
Let h(y) be the second derivative of y**5/70 + 44*y**4/21 + 140*y - 1. Factor h(n).
2*n**2*(n + 88)/7
Suppose 105*s - 136*s = 0. Factor s + 3/7*m**4 + 0*m - 6/7*m**2 + 3/7*m**3.
3*m**2*(m - 1)*(m + 2)/7
Factor -1/5*o**3 - 12/5*o**2 + 6 - 17/5*o.
-(o - 1)*(o + 3)*(o + 10)/5
Let t be 9 + 0 + ((-582)/66 - 0). Determine g so that 2/11*g**5 + 0 + t*g + 0*g**2 - 4/11*g**3 + 0*g**4 = 0.
-1, 0, 1
Let h be (8/(-200))/(4/5). Let l = 11/20 + h. Factor c**2 + l*c**3 + 0 + 0*c.
c**2*(c + 2)/2
Let u(p) be the second derivative of p**6/150 + 91*p**5/100 + 3*p**4/2 + 150*p. Determine y so that u(y) = 0.
-90, -1, 0
Suppose 4*d - 20 = 0, -17 = 9*y - 7*y - 5*d. Factor -18/11*q**2 - 2/11*q**y + 0*q + 0 - 12/11*q**3.
-2*q**2*(q + 3)**2/11
Let u(d) be the first derivative of -4*d**6/9 - 4*d**5/3 - 2*d**4/3 + 116. Factor u(f).
-4*f**3*(f + 2)*(2*f + 1)/3
Let k(l) be the third derivative of l**5/240 - 7*l**4/96 - l**3/3 + 149*l**2. Factor k(m).
(m - 8)*(m + 1)/4
Let u(w) be the third derivative of w**6/15 - 7*w**5/15 - 2*w**4/3 + 128*w**2. Factor u(h).
4*h*(h - 4)*(2*h + 1)
Let -37 - 12*h - 5*h**2 + 17 - 8*h = 0. What is h?
-2
Let 3/7*n**4 + 12*n**3 + 228/7*n + 234/7*n**2 + 75/7 = 0. What is n?
-25, -1
Suppose -7*w = 267 + 118. Let g = 57 + w. Factor 0*f + 0 - 2/11*f**g.
-2*f**2/11
Let d be (2 + -1)*(-17)/(17/(-2)). Let u(w) be the second derivative of -1/18*w**4 + 4/9*w**3 + 0 - 4/3*w**d - 7*w. Factor u(m).
-2*(m - 2)**2/3
Find g, given that 37*g + 288 - 14*g**2 + 22*g**2 + 11*g - 6*g**2 = 0.
-12
Let v(h) be the third derivative of 1/3*h**4 + 3/14*h**7 + 0 - 7*h**2 - 43/15*h**5 + 16/3*h**3 - 23/20*h**6 + 0*h. Suppose v(r) = 0. Calculate r.
-2/3, 2/5, 4
Factor 0 + 1/6*t**5 - 2*t**3 + 1/6*t**4 - 8/3*t - 14/3*t**2.
t*(t - 4)*(t + 1)*(t + 2)**2/6
Let m(v) = -2*v - 12. Let k be m(-7). Factor -94*c**k + 4*c - 3 + 97*c**2 - 4*c.
3*(c - 1)*(c + 1)
Factor 57/2 - 27*q - 3/2*q**2.
-3*(q - 1)*(q + 19)/2
Let j = -7437 - -66935/9. Factor -2/9 + 2/9*r - j*r**3 + 2/9*r**2.
-2*(r - 1)**2*(r + 1)/9
Let f(d) be the third derivative of -d**7/168 - d**6/72 + d**5/12 + d**3/6 + 12*d**2. Let y(l) be the first derivative of f(l). Factor y(h).
-5*h*(h - 1)*(h + 2)
Let v be 6/(-27) - 140/(-63). Suppose -3*a**5 - 15*a**v + a**4 + 2*a**4 + 3*a**3 + 12*a**2 = 0. Calculate a.
-1, 0, 1
Factor 0*o + 0 + 6*o**3 - 4/11*o**2.
2*o**2*(33*o - 2)/11
Let k(c) be the second derivative of -c**4/8 - 8*c**3 - 192*c**2 - 26*c. Find u such that k(u) = 0.
-16
Find k such that 0 - 33/2*k**3 + 3/2*k**5 - 9/2*k**2 + 9/2*k**4 + 15*k = 0.
-5, -1, 0, 1, 2
Let 11/2 + 6*q + 1/2*q**2 = 0. Calculate q.
-11, -1
Solve 8*j + 2565*j**2 - 2560*j**2 + 2*j = 0.
-2, 0
Solve -274*n**2 + 288*n - 38*n**2 - 12*n**2 - 64 =