or 20/7*u**3 + 4*u - 4/7*u**4 - 36/7*u**2 - f.
-4*(u - 2)*(u - 1)**3/7
Let p(t) = 2 + 0*t + t - 3. Let g(k) = k**2 - 1. Let y be ((-2)/4*-3)/((-15)/(-10)). Let a(b) = y*g(b) - 2*p(b). Solve a(f) = 0 for f.
1
Let a be 3/(-18)*2 - (-627)/342. Suppose 4 = 5*o - 6. Factor 3*u + 3/2 + a*u**o.
3*(u + 1)**2/2
Factor -4/9*d + 5/9*d**2 - 20/9 + 1/9*d**3.
(d - 2)*(d + 2)*(d + 5)/9
Let z = -1216 - -1220. What is n in 2/5*n**z + 0 + 0*n - 2/5*n**5 - 2/5*n**2 + 2/5*n**3 = 0?
-1, 0, 1
Let o(w) be the second derivative of 2*w + 0 + 1/63*w**7 + 7/30*w**5 + 1/6*w**4 + 0*w**2 + 0*w**3 + 1/9*w**6. Solve o(s) = 0 for s.
-3, -1, 0
Let l(j) be the third derivative of j**5/330 - j**4/44 + 2*j**3/33 + 139*j**2. Factor l(o).
2*(o - 2)*(o - 1)/11
Let j be 6 - (-5 + (-6860)/(-624)). Let o = 1237/1716 + j. Let o*q + 0 + 2/11*q**2 = 0. Calculate q.
-4, 0
Let d(n) be the second derivative of n**6/1980 + n**5/330 - n**4/44 - 5*n**3/6 + 11*n. Let z(c) be the second derivative of d(c). Factor z(b).
2*(b - 1)*(b + 3)/11
Suppose -4*x = 4*o + 7 + 5, 2*o = -6. Let j(u) be the third derivative of x - 1/12*u**4 - 1/60*u**5 - 1/6*u**3 + 0*u - u**2. Find m, given that j(m) = 0.
-1
Suppose 29 + 1 = -2*c. Let h be (-2)/(-6) + (-175)/c. Determine z, given that -18 + h*z + 5*z**2 - 7*z**2 + 3*z**2 - 3*z**2 = 0.
3
Factor -92*c**3 + 432*c + 28*c**4 + 36*c**2 - 226 - 4*c**5 - 64*c**4 + 658.
-4*(c - 2)*(c + 2)*(c + 3)**3
Determine v, given that 1/3*v**4 - 1/3*v**2 + 2/3*v**3 + 0 - 2/3*v = 0.
-2, -1, 0, 1
Let v(l) = 31*l**3 - 8*l**2 + 9*l + 32. Let j(z) = -13*z**3 + 4*z**2 - 5*z - 16. Let d(c) = -14*j(c) - 6*v(c). Find y such that d(y) = 0.
-2, 2
Factor -12*u**3 - 41*u - 52*u + 36*u**2 - 16*u**4 + 85*u.
-4*u*(u - 1)*(u + 2)*(4*u - 1)
Let o(n) = -n**2 + 5727*n + 582594. Let t(a) = -818*a - 83228. Let q(l) = 2*o(l) + 15*t(l). Suppose q(s) = 0. What is s?
-204
Let j(o) = 2*o + 16. Let p be j(-10). Let b be p/(-18) + (-100)/(-36). What is q in -3*q**3 - 3*q - q**2 - q - q**b + 9*q**2 = 0?
0, 1
Let h(c) = c**2 + 5*c - 4. Let q be h(-7). Let o be 12/15 - (-2)/q. Factor 3/2*x - 1/2*x**2 - o.
-(x - 2)*(x - 1)/2
Factor -1/5*b**2 + 1/5*b**3 - 1/5*b + 1/5.
(b - 1)**2*(b + 1)/5
Let b = 19 - 16. Let h(w) be the first derivative of -7 - 1/4*w**b + 0*w + 3/4*w**2 - 3/8*w**4 + 3/20*w**5. Factor h(d).
3*d*(d - 2)*(d - 1)*(d + 1)/4
Let j(c) = 3*c**3 + 9*c**2 - 6*c - 32. Let x(y) = -y**3 - y**2 + y + 2. Let g(w) = -j(w) - 2*x(w). Factor g(p).
-(p - 2)*(p + 2)*(p + 7)
Let t(f) = f**2 - f. Let d(u) = -12*u**2 + 15*u - 3. Let g(l) = l**3 - 7*l**2 - 9*l - 1. Let y be g(8). Let r(k) = y*t(k) - d(k). Factor r(x).
3*(x - 1)**2
Find d, given that 80*d**2 + 19 + 0*d**2 - 2*d**3 + 24*d**2 - 19 - 1352*d = 0.
0, 26
Let l(i) be the first derivative of 16*i**5/5 - 453*i**4/5 + 7952*i**3/15 - 2298*i**2/5 + 136*i + 374. Solve l(p) = 0 for p.
1/4, 2/5, 5, 17
Let w = -39 + 42. Suppose -w*o = -0*o - 6. Solve -2/7*f**3 + 2/7*f - 2/7*f**o + 2/7 = 0.
-1, 1
Let i(d) be the third derivative of d**7/42 - 11*d**6/24 + 35*d**5/12 - 125*d**4/24 - 13*d**2 + 5. Factor i(a).
5*a*(a - 5)**2*(a - 1)
Suppose 7*j = 3*j + 56. Factor 5*w**2 + j*w - 4*w**3 - w**2 - 14*w.
-4*w**2*(w - 1)
Solve 81*g - 3/4*g**2 - 2187 = 0 for g.
54
Let u(i) be the second derivative of i**6/6 + i**5/2 - 5*i**4/12 - 5*i**3/3 - 211*i - 1. Factor u(y).
5*y*(y - 1)*(y + 1)*(y + 2)
Determine f so that f**2 - 6*f - 296 + 324 - 10*f = 0.
2, 14
Let g be (((-930)/27)/62)/((-10)/4). Solve -2/9*u**3 - 2/9*u**2 + 0 + g*u + 2/9*u**4 = 0 for u.
-1, 0, 1
Suppose -21*b + 430 - 241 = 0. Let c(g) be the first derivative of 0*g + 0*g**2 - g**4 - b + 4/3*g**3. Factor c(r).
-4*r**2*(r - 1)
Let y(d) be the second derivative of -d**5/30 + d**4/18 + 5*d**3/9 + d**2 - 31*d. Factor y(w).
-2*(w - 3)*(w + 1)**2/3
Let j(f) be the third derivative of f**8/47040 + f**7/2940 + f**6/420 - f**5/20 - 7*f**2. Let p(h) be the third derivative of j(h). Let p(n) = 0. What is n?
-2
Let i(w) be the second derivative of -2*w**6/165 - 3*w**5/110 + 2*w**4/33 + w**3/11 - 2*w**2/11 + 2*w - 3. Find j such that i(j) = 0.
-2, -1, 1/2, 1
Determine x so that -64*x**2 - 208/3*x - 68/3*x**3 - 64/3 - 8/3*x**4 = 0.
-4, -2, -1/2
Let d = 131 + -131. Let j(l) be the first derivative of -40/33*l**3 + 8/11*l**2 - 14/55*l**5 + d*l + 1/33*l**6 + 9/11*l**4 - 7. Factor j(f).
2*f*(f - 2)**3*(f - 1)/11
Let d(n) be the first derivative of -n**6/27 - 4*n**5/45 + n**4/9 + 16*n**3/27 + 7*n**2/9 + 4*n/9 + 108. Factor d(u).
-2*(u - 2)*(u + 1)**4/9
Let q(b) be the second derivative of b**4/16 - 5*b**3/8 - 9*b**2 + 32*b - 1. Suppose q(y) = 0. Calculate y.
-3, 8
Let d(h) be the first derivative of -1/7*h**6 + 0*h**3 - 3 + 0*h**2 - 2/7*h**4 + 0*h + 16/35*h**5. Solve d(r) = 0 for r.
0, 2/3, 2
Let c(z) be the third derivative of 9*z**2 - 1/20*z**5 + 0*z + 0 - 2*z**3 - 1/2*z**4. Factor c(b).
-3*(b + 2)**2
Let b(t) be the third derivative of 1/4*t**5 + 5/2*t**4 - 2*t**2 + 10/3*t**3 - 5/24*t**6 + 0 + 0*t. Let b(o) = 0. Calculate o.
-1, -2/5, 2
Let f(p) = p**2 - 15*p + 26. Suppose 8*k = 9*k - 13. Let h be f(k). Factor -5/4*s**2 - 1/2*s**3 + 1/2*s + 5/4*s**4 + h.
s*(s - 1)*(s + 1)*(5*s - 2)/4
Suppose -4*j - 2*g - 22 = 0, -14 = 5*j + g - 3*g. Let d(c) = c + 8. Let f be d(j). Factor 2*q**2 - 8*q - 4*q**2 + q**2 - 2*q**2 - f.
-(q + 2)*(3*q + 2)
Let g(v) be the second derivative of 2/15*v**5 - 1/9*v**4 + 6*v - 2/3*v**2 + 1/63*v**7 - 5/9*v**3 + 4/45*v**6 + 0. Suppose g(u) = 0. What is u?
-2, -1, 1
Let v(b) be the second derivative of 1/14*b**4 + 3*b + 0*b**2 + 0 + 1/70*b**5 - 4/21*b**3. Factor v(g).
2*g*(g - 1)*(g + 4)/7
Solve 28/23*r - 2/23*r**2 - 48/23 = 0 for r.
2, 12
Let v be (-1)/4 + -4 + (-30)/(-6). Let g = 43/4 - 10. Factor v*a + 3/4 - 3/4*a**3 - g*a**2.
-3*(a - 1)*(a + 1)**2/4
What is m in -2/9*m**2 - 14/9*m + 0 = 0?
-7, 0
Let y = -936 - -939. Let z(o) be the first derivative of -3/16*o**4 + o**3 + y + 3/2*o - 15/8*o**2. Factor z(u).
-3*(u - 2)*(u - 1)**2/4
Let c(t) be the third derivative of t**6/24 - t**5/2 + 5*t**4/3 - 2*t**2 + 6. Suppose c(j) = 0. What is j?
0, 2, 4
Let n = 56 - 201. Let y = n - -727/5. Factor -4/5*h - y*h**2 + 0.
-2*h*(h + 2)/5
Let c be (1 - (-8)/(-7)) + 7/49. Let y be (-4)/(-8)*(9 + 1). Factor c*v**3 + 1/4*v**y + 0*v + 0 + 0*v**2 + 0*v**4.
v**5/4
Factor 215/3*b + 5/6*b**2 + 9245/6.
5*(b + 43)**2/6
Let l be 48/1512*(-42)/(-30). Let t(b) be the first derivative of -l*b**5 + 1/6*b**4 - 2/9*b**3 + 0*b + 1 + 1/9*b**2. Factor t(k).
-2*k*(k - 1)**3/9
Suppose -4*d - v + 23 = 1, -3*v + 31 = 5*d. Let i be 1 + d + 112/(-21). Find b, given that 8/3*b + 0 + 10/3*b**2 + i*b**3 = 0.
-4, -1, 0
Suppose -4*q - o = -428, -308 = -3*q - o - 3*o. Find c, given that 2*c - q - 117 - 8*c - 24*c - c**2 = 0.
-15
Let m(r) be the second derivative of 2/5*r**5 + 0 - 4/3*r**3 + 1/15*r**6 + 3*r + 1/2*r**4 - 4*r**2. Factor m(y).
2*(y - 1)*(y + 1)*(y + 2)**2
Let y(f) be the third derivative of -7*f**6/40 - 29*f**5/60 - f**4/6 + 2*f**3/3 - 46*f**2. Determine t so that y(t) = 0.
-1, -2/3, 2/7
Let k be 2268/546 + 6/(-39). Let -1/3*f**2 + 1/3*f**k + 0 + 1/6*f - 1/6*f**5 + 0*f**3 = 0. Calculate f.
-1, 0, 1
Let y(c) be the third derivative of -c**5/60 - c**4/8 + 2*c**3 + 25*c**2. Let b be y(-5). Find l, given that 2/13*l**b + 8/13 - 8/13*l = 0.
2
Let i = 0 - -9. Suppose 0 = 3*c - i - 0. Find m such that -10*m**c + 2*m**3 - 8*m**2 + 4*m**3 = 0.
-2, 0
Let l(o) = -o**2 - 9*o - 4. Let j be l(-8). Let g(h) = -3*h**2 - 17*h + 21. Let k(y) = 2*y**2 + 16*y - 20. Let i(a) = j*g(a) + 5*k(a). Factor i(r).
-2*(r - 4)*(r - 2)
Let c be ((-6)/(-2) - 0)/(18 - 17). Factor 5*h + 6*h**3 - 16*h**c + 5*h - 5*h**2 + 5*h**4.
5*h*(h - 2)*(h - 1)*(h + 1)
Suppose -o - o + 6 = 0. Let j be (0/1)/(-30 + 34). Solve 2*x**2 + 6*x**4 + x - 2*x**5 - 6*x**o + j*x - x = 0 for x.
0, 1
Suppose 4/5*x**2 - 1/5*x**5 + 0 + 0*x + x**4 - 8/5*x**3 = 0. What is x?
0, 1, 2
Let f(q) be the second derivative of q**5/45 + 13*q**4/27 + 70*q**3/27 - 98*q**2/9 + 162*q. Factor f(v).
4*(v - 1)*(v + 7)**2/9
Let i(h) be the second derivative of -h**5/30 + 9*h**4 + 109*h**3/3 + 164*h**2/3 - 153*h. Solve i(l) = 0.
-1, 164
Suppose 0 = 285*c - 288*c + 6. Let r(x) be the second derivative of -x**c + 2/9*x**3 + 10*x + 0 - 1/54*x**4. Let r(k) = 0. What is k?
3
Let g(z) be the first derivative of -6*z**2 + 0*z - 2/3*z**6 +