 a?
-1, 0, 2
Let f(a) be the second derivative of -6*a**6/5 + 6*a**5 - a**4/3 - 56*a**3/3 + 24*a**2 + 310*a. Suppose f(t) = 0. Calculate t.
-1, 2/3, 3
Let s = -24 + 29. Let 3*c**s + 24*c**4 + 3*c**3 + 2*c**3 + 3*c**3 + 7*c**5 = 0. What is c?
-2, -2/5, 0
Let l(t) be the first derivative of -6*t**5/5 - 4*t**4 - 2*t**3 + 2*t**2 + 54. Factor l(i).
-2*i*(i + 1)*(i + 2)*(3*i - 1)
Solve 16/7*y**4 + 4/7*y**5 - 20/7*y - 8/7 - 8/7*y**2 + 16/7*y**3 = 0 for y.
-2, -1, 1
Let l be 15/45 - ((-7)/(-3) - -2). Let m(i) = 2*i**3 - i**2 - 7*i - 15. Let z(f) = f**3 - f**2 - 4*f - 8. Let h(s) = l*m(s) + 7*z(s). What is v in h(v) = 0?
-2, 1
Let l(t) be the third derivative of t**7/17640 + t**6/1680 + t**5/420 + 2*t**4/3 + 4*t**2. Let x(m) be the second derivative of l(m). What is v in x(v) = 0?
-2, -1
Factor 6*c - 2/5*c**4 - 14/5*c**3 - 14/5*c**2 + 0.
-2*c*(c - 1)*(c + 3)*(c + 5)/5
Let m(i) be the second derivative of -1/2*i**4 + 0 - 12*i - 1/10*i**5 + 0*i**2 + 0*i**3. Suppose m(t) = 0. Calculate t.
-3, 0
Let q be 2114/(-7) + (-6 - (-1 - 0)). Let t = 312 + q. Suppose 2/9*j**t - 2/3*j**4 - 4/9*j + 0 + 2/9*j**3 + 2/3*j**2 = 0. Calculate j.
-1, 0, 1, 2
Let r be -2*-2*(-5)/(-10). Let i(a) be the third derivative of 1/4*a**4 + 0 - 1/60*a**5 + 0*a - 2*a**r - 3/2*a**3. Determine l so that i(l) = 0.
3
Suppose -54*f + 63*f = 18. Factor -2/17*w**3 - 4/17*w**f + 0 + 6/17*w.
-2*w*(w - 1)*(w + 3)/17
Let f be 2/4*-6 + (-2256)/(-720). Factor 0*z + 0*z**2 + 2/15*z**4 + 0 + f*z**3.
2*z**3*(z + 1)/15
Let n = 651 + -646. Let w(p) be the first derivative of p**4 + 2/5*p**n - 8/3*p**3 - 8*p**2 + 2 + 0*p. Let w(z) = 0. What is z?
-2, 0, 2
Factor -5*o**2 + 3*o**2 + 275 - 1956 + 82*o + 5*o**2 - 4*o**2.
-(o - 41)**2
Let u = 53 + -59. Let n be 8/u + (-238)/(-84). Find o, given that 0*o - 1/2*o**2 + 0 + n*o**3 = 0.
0, 1/3
Suppose -702/5*u**2 + 44/5*u**3 + 4732/5*u - 2197 - 1/5*u**4 = 0. Calculate u.
5, 13
Let q(w) = -65*w + 3. Let y be q(-1). What is z in -5*z + 211*z**2 - 287*z**2 - 10*z - 69*z + y*z**3 + 72 - 12*z**4 = 0?
-1, 2/3, 3
Let w(f) be the third derivative of -f**7/315 - 7*f**6/36 + 37*f**5/90 + 35*f**4/36 - 4*f**3 + 4*f**2 + 38*f. Let w(x) = 0. Calculate x.
-36, -1, 1
Let j(m) be the third derivative of -m**5/150 - m**4/10 - m**3/3 + 54*m**2. Factor j(d).
-2*(d + 1)*(d + 5)/5
Suppose 0 = -p - 2*p + 108. Let t be p/(-150)*30/(-9). Factor -t*i + 0 - 2/5*i**3 - 6/5*i**2.
-2*i*(i + 1)*(i + 2)/5
Let z = -19415/2 - -9712. Find v such that 0 + 9/4*v + z*v**4 - 69/4*v**3 + 21/2*v**2 = 0.
-1/6, 0, 1, 3
Let f = -365 + 3286/9. Let -f*y**2 + 2/9*y - 1/9 = 0. Calculate y.
1
Let t(j) = -5*j**2 - 366*j - 6483. Let u(m) = -15*m**2 - 1096*m - 19448. Let y(v) = 8*t(v) - 3*u(v). Find h such that y(h) = 0.
-36
Let q(v) = 20*v**2 + 1125*v - 63845. Let l(x) = 5*x**2 - x. Let b(d) = -5*l(d) + q(d). Factor b(k).
-5*(k - 113)**2
Let z(x) = 6*x - 44. Let k be z(6). Let d be 28/k*(-8)/7. Factor 2/11*h**3 - 2/11*h + 2/11*h**d - 2/11*h**2 + 0.
2*h*(h - 1)*(h + 1)**2/11
Let j(q) be the third derivative of 0*q + 0 - 1/42*q**7 - 21*q**2 - 1/24*q**6 + 0*q**5 + 0*q**4 + 0*q**3. Determine f, given that j(f) = 0.
-1, 0
Let b(f) be the third derivative of 0*f + 11*f**2 - 4/3*f**4 + 0 + 4/3*f**3 + 7/30*f**5. Factor b(p).
2*(p - 2)*(7*p - 2)
Suppose 3*i + 2*f = 4*f + 2, -3*f + 4 = -i. Let v(j) be the second derivative of -9*j - 1/15*j**6 + 1/2*j**5 + 0 - 3/2*j**4 - 2*j**i + 7/3*j**3. Factor v(y).
-2*(y - 2)*(y - 1)**3
Let y(i) be the third derivative of -1/120*i**5 - 10*i**2 + 0*i**4 + 0*i**3 + 0*i + 1/720*i**6 + 0. Factor y(o).
o**2*(o - 3)/6
Let r(b) = -b**2 - 13*b - 6. Let t be r(-6). Let w be 16/(-54)*((-513)/t)/19. Determine k so that 2/9 - w*k**3 - 2/3*k + 2/3*k**2 = 0.
1
Factor 9/5*i + 0 + 1/5*i**3 + 6/5*i**2.
i*(i + 3)**2/5
Suppose -20 = -5*z - n, 2*z - n - 3 = -2. Factor -y**3 + 4*y**3 + 136*y**4 - 2*y**z - 135*y**4.
y**3*(y + 1)
Let c(x) = -4 - 9*x + 5 - 3. Let l be c(-2). Factor -114*h**4 - 128*h**2 - 125*h**5 - 360*h**3 - 160*h**4 - 126*h**4 - l*h.
-h*(h + 2)*(5*h + 2)**3
Let v(k) = k**3 + 52*k**2 + 51*k. Let p be v(-51). Solve -1/3*c**5 - 1/3*c**4 + 0 + 0*c + p*c**2 + 0*c**3 = 0 for c.
-1, 0
Let a(f) be the third derivative of f**6/280 - f**5/70 - 62*f**2 + f. Let a(g) = 0. Calculate g.
0, 2
Let t be 1/1 - (-1 + -10 - -6). Let a(k) be the first derivative of t*k - 9/2*k**2 + k**3 - 4. Let a(p) = 0. Calculate p.
1, 2
Let o(q) be the first derivative of q**6/57 - 6*q**5/95 + 3*q**4/38 - 2*q**3/57 - 291. Factor o(z).
2*z**2*(z - 1)**3/19
Let n be 2/(-4)*(-12)/84. Let q(h) be the second derivative of -n*h**7 + 0*h**2 + 0*h**5 - 2*h + 0*h**3 + 1/10*h**6 + 0 + 0*h**4. Factor q(u).
-3*u**4*(u - 1)
Let t be -8 + (14/24)/(2/28). Factor 1/6*c**3 - 1/6*c**2 - t*c + 1/6.
(c - 1)**2*(c + 1)/6
Let u(p) = p**3 - 11*p**2 + 9*p + 13. Let i be u(10). Let t(m) be the first derivative of 7/6*m**3 + m + i - 9/4*m**2. Find k, given that t(k) = 0.
2/7, 1
Let q(x) be the first derivative of x**5/540 + x**4/54 + x**3/18 + 47*x**2/2 + 38. Let k(c) be the second derivative of q(c). Let k(l) = 0. What is l?
-3, -1
Let m(b) be the first derivative of b**5/270 + b**4/27 - 5*b**3/27 + 9*b**2/2 + 39. Let j(v) be the second derivative of m(v). Factor j(h).
2*(h - 1)*(h + 5)/9
Let p = 204 - 22. Let f = 185 - p. Factor 4/11 - 4/11*h**4 - 4/11*h**f - 14/11*h + 16/11*h**2 + 2/11*h**5.
2*(h - 1)**4*(h + 2)/11
Let x(p) be the third derivative of -31*p**2 + 0*p**4 + 0*p**3 + 1/1008*p**8 + 1/120*p**6 + 0*p + 1/210*p**7 + 1/180*p**5 + 0. Solve x(m) = 0 for m.
-1, 0
Let z(f) be the first derivative of -1/14*f**4 - 1/35*f**5 - 4 + 0*f**2 + 0*f - 1/21*f**3. Factor z(q).
-q**2*(q + 1)**2/7
Let t be -2 + 2/1 - 0. Suppose t = -5*d - 5*x - 15, -4*d + 7 = -3*x - 16. What is r in -d*r**2 - 11*r - r**3 + 9*r - r**2 = 0?
-2, -1, 0
Suppose 3*o = -0*c - 2*c + 109, -2*c + 3*o = -139. Let r = -60 + c. Determine p so that -p + 1/3*p**3 + 0*p**r - 2/3 = 0.
-1, 2
Suppose 4*s - 10 - 32 = 2*w, 0 = -s + 4*w. Let n = -25 + 37. Let s*c**3 + 11*c + 4*c**5 - 11*c - 4*c**2 - n*c**4 = 0. Calculate c.
0, 1
Factor 0 - 3/8*a**2 + 147/8*a.
-3*a*(a - 49)/8
Factor 6 + 14*c + 440*c**2 - 218*c**2 - 218*c**2.
2*(c + 3)*(2*c + 1)
Let m(o) = 4*o**2 - o. Let z(w) = 11*w**2 - 24*w - 20. Let f(s) = -3*m(s) + z(s). What is p in f(p) = 0?
-20, -1
Let i = -6 + 6. Suppose i*z - 20 = -5*z. Factor z*h**2 - 4*h - h + h.
4*h*(h - 1)
Let u(t) = t**2 - t - 2. Let r(a) = 10*a**2 + 90*a - 460. Let w(g) = r(g) - 6*u(g). Factor w(s).
4*(s - 4)*(s + 28)
Let q(u) be the first derivative of -u**4/8 - 5*u**3/6 + u**2/4 + 5*u/2 - 702. Suppose q(y) = 0. What is y?
-5, -1, 1
Let u = -3312/7 + 29836/63. Factor u - 5/9*j + 1/9*j**2.
(j - 4)*(j - 1)/9
Let i(l) be the first derivative of -l**4/2 - 10*l**3 - 54*l**2 - 80*l - 107. Let i(y) = 0. Calculate y.
-10, -4, -1
Suppose 7*h - 126 = 3*h - 2*p, 4*h - 125 = -3*p. Factor -h*n + 8 + 10 + 128*n**2 - 16.
2*(8*n - 1)**2
Let w(k) be the third derivative of -k**5/240 - k**4/48 + 35*k**3/24 + 153*k**2 - 1. Determine q, given that w(q) = 0.
-7, 5
Let r(f) = -5*f + 3*f**2 + 2*f**2 - 2*f**2. Let h(t) = -8*t**2 + 14*t. Let v be (-8)/2 - -9 - 0. Let o(g) = v*h(g) + 14*r(g). Factor o(j).
2*j**2
Let t be (11 - 1067/99) + 217/36. Let -1/4*l**2 - 5/2*l - t = 0. What is l?
-5
Let z(a) = -5*a + 4. Let i be z(-11). Factor -9*c**2 + i*c**3 - 3*c**2 - 63*c**3.
-4*c**2*(c + 3)
Let l = 35 + -32. Determine u, given that 14*u**3 - 26*u**l + u**2 + 22*u**3 + 14*u**4 - 5*u**2 = 0.
-1, 0, 2/7
Let m be 72/(-108)*((-2)/(-4) + -1). Solve m*n - 1/3*n**3 - 1/3*n**2 + 1/3 = 0 for n.
-1, 1
Let z(d) be the second derivative of 10*d**7/21 + 6*d**6/5 - 26*d**5/25 - 12*d**4/5 - 16*d**3/15 - 77*d. Determine i so that z(i) = 0.
-2, -2/5, 0, 1
Suppose 0 = -10*c - 2*c + 24. Factor 44*m + 57*m**2 - 62*m**c - 19*m.
-5*m*(m - 5)
Let z(k) be the first derivative of -k**3/15 - 3*k**2/10 - 344. Factor z(c).
-c*(c + 3)/5
Let n(t) be the third derivative of 1/60*t**5 + 0*t**4 + 0 + 0*t + 1/240*t**6 - 6*t**2 + 0*t**3. Determine y, given that n(y) = 0.
-2, 0
Let m be 15/20 + (-205)/(-20). Factor 4*l**3 + m*l**3 + 3*l - 5*l - 13*l**3.
2*l*(l - 1)*(l + 1)
Let z(n) be the first derivative of 15 + 8/17*n + 3/17*n**2 - 2/51*n**3. Find r such that z(r) = 0.
-1, 4
Let a be -1*(0 - 2/6*6). Determine l so that 16*l**