= 25 + -22. Let 0*y**f - 12*y**2 + 5*y**2 + 5*y**2 - 4*y + 2*y**3 = 0. What is y?
-1, 0, 2
Suppose -9 = -5*i - 2*k, -12 = 14*k - 10*k. Let j(f) be the first derivative of 0*f - 1/16*f**4 + 1/4*f**2 - 1/12*f**i - 3. Find q, given that j(q) = 0.
-2, 0, 1
Let o be 3339/33 + (4/(-22))/1. Let n = -98 + o. Solve 1/4*t - 1/4*t**n - 1/4*t**2 + 1/4 = 0 for t.
-1, 1
Suppose 0 = -3*d - o + 2, -d - 4 = 3*d - 2*o. Let n be (0 + -1)*(7 + -7). What is b in -9/5*b**4 + 3/5*b**3 + d*b + 0 + n*b**2 = 0?
0, 1/3
Let d(k) be the first derivative of k**4/26 + 4*k**3/39 - 8*k**2/13 + 8. Factor d(l).
2*l*(l - 2)*(l + 4)/13
Let c(d) be the second derivative of 1/90*d**5 - 2/27*d**3 + 11*d + 0 + 1/54*d**4 + 0*d**2. Factor c(t).
2*t*(t - 1)*(t + 2)/9
Let j(r) be the second derivative of -r**4/3 - 5*r**3/6 - 5*r**2/2 + 2*r. Let x(f) = 4*f**2 + 6*f + 6. Let s = 63 - 58. Let l(w) = s*x(w) + 6*j(w). Factor l(d).
-4*d**2
Let d(p) be the first derivative of 23/5*p**5 + 5/4*p**2 - p - 23/4*p**4 - 5/4*p**6 + 2*p**3 + 3. Determine b so that d(b) = 0.
-1/3, 2/5, 1
Let w(u) = -u**4 - u**3 + 3*u. Let x(o) = -4*o**5 + 5*o**4 + 37*o**3 - 3*o**2 - 49*o + 6. Let k(l) = 40*w(l) + 5*x(l). Find q such that k(q) = 0.
-3, -1, 1/4, 1, 2
Factor -1420/11*g**2 + 402/11*g**3 - 48/11*g**4 + 2/11*g**5 - 1296/11 + 2232/11*g.
2*(g - 9)**2*(g - 2)**3/11
Suppose 470*r = 491*r + 6 - 69. Solve 0 - 2/7*y**r - 2/7*y + 4/7*y**2 = 0.
0, 1
Factor -132*p**4 - 4*p**5 - 130*p**4 + 28*p**3 + 238*p**4.
-4*p**3*(p - 1)*(p + 7)
Let a(m) = -55*m**2 + 180*m - 115. Let n(k) = -k**3 + 55*k**2 - 179*k + 117. Let l(h) = -4*a(h) - 5*n(h). Factor l(v).
5*(v - 5)**2*(v - 1)
Let a(r) = -r**2 - 94*r + 5538. Let g be a(41). Suppose -3/2*s**2 - 3/2*s**4 + 3 + 9/2*s**g - 9/2*s = 0. What is s?
-1, 1, 2
Let l = -90 - -95. Suppose 4*g - 4 = -4*y, -l*g - 5 = 3*y - 10*g. Determine v, given that 0*v**4 + 2*v**3 - 4/3*v**2 - 2/3*v**5 + 0*v + y = 0.
-2, 0, 1
Solve -2/11*w + 2/11*w**3 + 16 - 16*w**2 = 0.
-1, 1, 88
Suppose 4*n = -5*z - 15, 9*z = -5*n + 7*z - 6. Let b(s) be the second derivative of 10*s + n*s**3 - 1/108*s**4 + 1/18*s**2 + 0. Factor b(c).
-(c - 1)*(c + 1)/9
Let g(x) = x**2 + 13*x + 4. Let u be g(-12). Let d be (18/(-6))/12*(0 + u). Find l such that -6/7*l + 2/7*l**d + 0 = 0.
0, 3
Factor -20*x**3 - 2*x**2 - 9 + 10 + 8*x + 28*x + 26*x**2 - 9.
-4*(x - 2)*(x + 1)*(5*x - 1)
Suppose -26 + 2 = -3*l. Suppose l = 2*j + 4. Let 86*v**4 + 16*v**j + 0*v**2 - 8*v - 84*v**4 - 10*v**3 = 0. What is v?
0, 1, 2
Let z(y) be the third derivative of -5*y**7/168 + 11*y**6/96 + 11*y**5/240 - 17*y**4/32 + 3*y**3/4 - 16*y**2 - 2*y. Let z(t) = 0. What is t?
-1, 3/5, 2
Let f(x) = -10*x + 1. Let m be f(1). Let k = m - -12. Solve -z**3 - 2*z - z**2 + k*z**2 + z = 0.
0, 1
Let z be 2 + ((-1)/(-1) - -2). Factor -4 + z*q + 7*q**3 + 4 - 10*q**2 - 2*q**3.
5*q*(q - 1)**2
Let z(u) be the second derivative of -1/14*u**3 + 0 + 9*u + 1/14*u**4 - 3/140*u**5 + 0*u**2. Let z(q) = 0. What is q?
0, 1
Let k(n) be the third derivative of -n**5/20 + 29*n**4/4 - 14*n**2. What is z in k(z) = 0?
0, 58
Factor 69/5*a - 6*a**2 - 36/5 - 3/5*a**3.
-3*(a - 1)**2*(a + 12)/5
Let o be -4 - -3 - -6 - 3. Find m, given that -52*m**4 + 47*m**4 - m**2 + m**o = 0.
0
Let j(m) = -2*m + 1. Let y be j(-1). Let c(v) = -v**2 - 56*v + 376. Let f be c(-62). Factor 9/2*n**2 + 3/4 + 3/4*n**f - 3*n**3 - y*n.
3*(n - 1)**4/4
Let n(l) be the second derivative of 1/16*l**4 + 3*l - 5/24*l**3 - 1/120*l**6 + 0 + 1/80*l**5 + 1/4*l**2. Factor n(q).
-(q - 1)**3*(q + 2)/4
Let f(h) be the first derivative of 3*h**4/8 + 54*h**3 - 657*h**2/4 + 165*h + 292. Factor f(p).
3*(p - 1)**2*(p + 110)/2
Let i(v) be the third derivative of v**6/320 + 3*v**5/160 - 3*v**4/8 + 7*v**3/4 + 4*v**2 + 22. Find h such that i(h) = 0.
-7, 2
Let w = 5333/6 + -2626/3. Find x, given that w + 1/6*x**2 + 3*x = 0.
-9
Factor 7/6*h**2 - 1/2*h**3 - 1/2*h**4 + h + 1/6*h**5 + 0.
h*(h - 3)*(h - 2)*(h + 1)**2/6
Let l = 15 + -11. Let j be (-13 - -11)/((-2)/l). Solve -4*d - j*d**3 - 4 - 2*d + 6*d**3 = 0.
-1, 2
Let v(y) be the second derivative of -81/2*y**2 + y - 9/4*y**4 - 3/20*y**5 + 0 - 27/2*y**3. Factor v(u).
-3*(u + 3)**3
Let a(w) = 11*w**2 + 4*w - 6. Let q(n) = -47*n**2 - 16*n + 24. Let u(m) = -26*a(m) - 6*q(m). Factor u(p).
-4*(p - 1)*(p + 3)
Factor -28*c**2 - 26*c**4 + 170*c**3 - 8*c - 54*c**3 - 20*c**2 + 8*c.
-2*c**2*(c - 4)*(13*c - 6)
Let g(i) = 2*i**2 + 16*i + 3. Let j(u) = -3*u**2 - 33*u - 5. Let m(z) = -5*g(z) - 3*j(z). Factor m(v).
-v*(v - 19)
Let -50/3*i**2 + 295/3*i - 110/3 = 0. Calculate i.
2/5, 11/2
Let c(m) be the second derivative of -m**4/84 + 2*m**2/7 - 31*m - 6. Factor c(t).
-(t - 2)*(t + 2)/7
Let l = 47 + -28. Suppose 6 = -2*n, 0 = -5*k + n + 2*n + l. Let -a**2 - 2*a**k - a**3 - a + 3*a**4 + 2*a**3 = 0. Calculate a.
-1, -1/3, 0, 1
Let y(b) = b**2 + 7*b + 1. Let i be y(-3). Let m = i - -21. Let 3*a + 5*a**2 - 24*a**3 + m*a**4 - 3*a + 3*a**2 = 0. What is a?
0, 2/5, 2
Let r(l) = l**2 - 10*l - 7. Let o(b) = -2*b**2 + 23*b + 23. Let y(z) = -4*o(z) - 11*r(z). Suppose y(x) = 0. What is x?
1, 5
Suppose -2*p + 5 + 25 = 5*t, 0 = -2*p. Let w(h) = h + 5. Let f be w(-3). Find v, given that -6*v**f + 7*v - 4*v - 3*v**2 + t*v**2 = 0.
0, 1
Suppose -37*k = 48 - 233. Find s such that 3/5*s**k - 3/5*s**3 + 0 + 0*s - 3/5*s**4 + 3/5*s**2 = 0.
-1, 0, 1
Let v be ((-286)/(-144) + -2)/((-95)/76). Let z(y) be the third derivative of 0 + 0*y**3 + 0*y**4 + v*y**5 - 2*y**2 + 0*y + 1/180*y**6. Factor z(b).
2*b**2*(b + 1)/3
Let j be 27/63 + (-6)/(-28)*-2. Let b(g) be the second derivative of 0*g**2 + 1/30*g**5 + j + 4*g + 0*g**3 - 1/36*g**4. Solve b(f) = 0.
0, 1/2
Let t(q) be the third derivative of q**7/195 + 47*q**6/780 + 7*q**5/65 - 32*q**4/39 + 32*q**3/39 + q**2 + 84*q. Suppose t(y) = 0. Calculate y.
-4, 2/7, 1
Let i(f) be the third derivative of f**10/378000 - f**8/50400 + f**5/60 - 7*f**2. Let n(j) be the third derivative of i(j). Let n(m) = 0. Calculate m.
-1, 0, 1
Let f(a) be the first derivative of 2*a**3/63 + 8*a**2/7 + 96*a/7 + 25. Solve f(g) = 0.
-12
Let 12/11*l + 0 + 2/11*l**3 + 10/11*l**2 = 0. What is l?
-3, -2, 0
Suppose 5*n + 13*m - 16*m - 211 = 0, -n + 4*m = -32. Factor -119*f - 17*f**2 + 5 + 5 + n*f + 82*f**2.
5*(f - 1)*(13*f - 2)
Suppose -3*f + 19 = 4*m, m - 5*f = 3*m - 13. Find t, given that -24*t**2 + m*t**3 + 18 - 18 = 0.
0, 6
Factor -9/5*r**3 + 4/5*r - 7/5*r**5 + 0 + 17/5*r**4 - r**2.
-r*(r - 1)**3*(7*r + 4)/5
Let n be ((-30)/9)/((-4)/6). Let y = -69 - -72. Factor 2*c**5 + 2*c**y - c**5 - c**4 - c**5 - c**n.
-c**3*(c - 1)*(c + 2)
Let z(h) = 21*h - 462. Let x be z(22). Factor 6/7*a**2 + 9/7*a + x*a**4 - 12/7*a**3 + 3/7*a**5 - 6/7.
3*(a - 1)**3*(a + 1)*(a + 2)/7
Let l = 54 + -51. Suppose 5*p - l*s - 24 = -2*s, 4*p + s - 21 = 0. Factor 4/5*w**3 + 0*w**4 - 2/5*w + 0*w**2 - 2/5*w**p + 0.
-2*w*(w - 1)**2*(w + 1)**2/5
Let m(r) = 4*r**4 - 13*r**3 + 5*r**2 + 4*r. Let j(a) = a**4 - 3*a**3 + a**2 + a. Let n = -63 - -65. Let x(b) = n*m(b) - 9*j(b). Factor x(g).
-g*(g - 1)**2*(g + 1)
Let l(f) be the second derivative of f**7/42 - 3*f**6/10 + 7*f**5/10 + 17*f**4/6 - 5*f**3/2 - 25*f**2/2 - 242*f. Solve l(n) = 0.
-1, 1, 5
Let j(u) = -u**3 + 23*u**2 + 18*u + 148. Let v be j(24). Factor -v*l**2 - 2*l**4 - 4*l**3 - 2*l - 2/5 - 2/5*l**5.
-2*(l + 1)**5/5
Let n(j) be the third derivative of -5*j**6/24 - 3*j**5/4 - 9*j**4/8 + 47*j**3/6 - 22*j**2. Let y(s) be the first derivative of n(s). Factor y(q).
-3*(5*q + 3)**2
Suppose -20*h + 3344 = 3284. Determine t so that -4/7*t**2 - 2/7*t + 0 - 2/7*t**h = 0.
-1, 0
Let n = -467 - -252. Let d = -1503/7 - n. Find c such that d*c**3 - 4/7 + 4/7*c**2 - 2/7*c = 0.
-2, -1, 1
Factor -2*a**2 + 34*a**2 - 5*a - 47*a**2 + 269*a.
-3*a*(5*a - 88)
Let f be (-3)/((-3)/4)*1. Let a = 627 + -622. Factor -a*w**2 + f*w**2 - 2*w + 2*w**2.
w*(w - 2)
Let q be 7 - 6/(126/(-119)). Let s be 6/4*((-2)/(-2) + 3). Let -s*v**4 + 14/3*v**5 - 8/3 + 8*v - q*v**3 + 26/3*v**2 = 0. What is v?
-1, 2/7, 1, 2
Determine f, given that 80/3*f - 500/3*f**3 + 64/3 - 28*f**4 - 640/3*f**2 = 0.
-4, -2, -2/7, 1/3
Suppose 0 = 5*b + j + 21 + 19, -2*j - 24 = 2*b. Let n be (4/b)/((-26)/182). Suppose 0*i**n - 8/3*i**3 - 4/3 + 2*i + 4/3*i**2 + 2/3*i**5 = 0. Calculate i.
-2, -1, 1
Suppose 4*q = -0*q - 2*v + 6, -3*v + 9 = 0. Let i(g) be the third derivative of -1/2