Solve -3/7*f - 9/7*f**2 + 6/7 + 3/7*f**3 + 3/7*f**b = 0 for f.
-2, -1, 1
Let v = 33625/7 - 4803. Let -2/7 - t - 4/7*t**2 + v*t**3 = 0. What is t?
-1/2, 2
Let n be (-46)/8 + (-60)/(-80). Let d be (-4 - -4)/((n - -3)*1). Determine c so that -1/4*c**2 + 0 + d*c = 0.
0
Suppose -23 - 1 = -4*w. Factor w*z**3 - 4*z**4 + z**4 + 9*z**2 + 118*z - 12 - 130*z.
-3*(z - 2)**2*(z + 1)**2
Let y(x) be the first derivative of 10*x**3/9 - 17*x**2/3 - 8*x - 760. Find m, given that y(m) = 0.
-3/5, 4
Let b be -1 - 42/132*-1. Let l = 67/66 + b. Factor 2*m**3 - 16/3 - 1/3*m**2 - 8*m - l*m**4.
-(m - 4)**2*(m + 1)**2/3
Let w(r) be the third derivative of r**5/420 + r**4/28 + 4*r**3/21 - 3*r**2 - 2. Determine n so that w(n) = 0.
-4, -2
Let v be 638/55 + (-3)/5. Let t(n) = -5*n**2 - 29*n - 11. Let l(m) = 3*m**2 + 15*m + 6. Let p(d) = v*l(d) + 6*t(d). Factor p(i).
3*i*(i - 3)
Let v be (-4)/(-10) + (797094/(-1140))/9. Let l = 155/2 + v. Factor 0 + 6/19*n + l*n**2.
2*n*(2*n + 3)/19
Let i be (45/(-30))/(-9 - -1). Let j(h) be the first derivative of -9/8*h**2 - 3/4*h**3 - 2 - i*h**4 - 3/4*h. Factor j(g).
-3*(g + 1)**3/4
Let o be (36/(-10))/((-6)/20). Suppose 9*d**3 + 3*d**2 + 0*d - o*d**5 + 10*d**4 - 3*d + 2*d**4 - 9*d**2 = 0. Calculate d.
-1/2, 0, 1
Let h be 4/18 - (-12)/27*(-25)/(-4). Determine u so that 152/7*u**h + 0 + 12/7*u + 48/7*u**4 - 36/7*u**5 + 80/7*u**2 = 0.
-1, -1/3, 0, 3
Let p = -43687/15 + 2913. Let 2/15*y**2 + p - 8/15*y = 0. Calculate y.
2
Let j(k) = -5*k**3 - 24*k**2 + 81*k - 40. Let l(c) = -5*c**3 - 25*c**2 + 80*c - 40. Let v(w) = 5*j(w) - 6*l(w). What is t in v(t) = 0?
-8, 1
Let c(j) be the second derivative of 1/8*j**4 + 3/40*j**5 - 3/40*j**6 + 3/8*j**2 - 3/8*j**3 + 7*j + 1/56*j**7 + 0. Factor c(l).
3*(l - 1)**4*(l + 1)/4
Let i(x) be the second derivative of x**6/6 - 9*x**5/4 + 35*x**4/12 + 15*x**3/2 - 20*x**2 - x + 110. Determine o so that i(o) = 0.
-1, 1, 8
Let c(j) be the second derivative of j**6/300 - j**5/30 - 5*j**2/2 + 10*j. Let m(n) be the first derivative of c(n). Determine r so that m(r) = 0.
0, 5
Let n(m) = -36*m - 826. Let r be n(-23). Factor 8/5 + 12/5*l + 4/5*l**r.
4*(l + 1)*(l + 2)/5
Let l(i) be the second derivative of -i**6/1080 + i**4/18 + i**3/3 + i**2 + 6*i. Let d(m) be the second derivative of l(m). Factor d(r).
-(r - 2)*(r + 2)/3
Let v(n) be the second derivative of -2/3*n**6 - 5/4*n**5 - 5/42*n**7 + 0*n**3 - 5/6*n**4 + 0*n**2 + 0 - 13*n. Factor v(p).
-5*p**2*(p + 1)**2*(p + 2)
Let i(z) be the first derivative of z**3/3 - z - 6. Let c = -19 + 20. Let q(f) = 9*f**2 - 12*f + 3. Let a(o) = c*q(o) - 6*i(o). Factor a(h).
3*(h - 3)*(h - 1)
Let m(z) be the second derivative of -z**7/168 + z**6/18 - z**5/8 + z**3/3 - 10*z. Let v(q) be the second derivative of m(q). Solve v(u) = 0.
0, 1, 3
Let q(s) be the third derivative of -s**7/13860 - s**6/360 + s**5/55 + 5*s**4/8 + s**3/3 + 30*s**2. Let t(p) be the second derivative of q(p). Factor t(m).
-2*(m - 1)*(m + 12)/11
Let s(x) = 9*x**2 + 165*x - 159. Let m(t) = -15*t**2 - 330*t + 318. Let o(z) = -5*m(z) - 9*s(z). Factor o(a).
-3*(a - 1)*(2*a - 53)
Factor 0*o + o**3 + 0 - 1/5*o**4 + 0*o**2.
-o**3*(o - 5)/5
Let n(s) be the third derivative of 0 - 2/3*s**3 + 0*s - 23/36*s**4 - 7/90*s**5 - 7*s**2. Factor n(x).
-2*(x + 3)*(7*x + 2)/3
Let i(u) be the third derivative of 5/144*u**4 - 1/2016*u**8 + 0*u + 1/180*u**5 - 1/315*u**7 + 5*u**2 - 1/180*u**6 + 1/18*u**3 + 0. What is d in i(d) = 0?
-2, -1, 1
Let x(w) be the third derivative of -w**5/15 + 17*w**4/6 + 12*w**3 - 2*w**2 - 175. Find o, given that x(o) = 0.
-1, 18
Let b(u) be the third derivative of -u**7/70 - u**6/10 - 3*u**5/20 + u**4/2 + 2*u**3 + 4*u**2 + 7. Solve b(z) = 0.
-2, -1, 1
Suppose 5*m + 0*x = 4*x + 7, -5*x = -2*m - 4. Suppose -3*o + 18 = f, -o + 24 = 2*o + m*f. Factor -2*q**o + 3 + 2*q**3 - 3.
-2*q**3*(q - 1)*(q + 1)
Suppose 0 = -s + o + 47, -3*o + 9 = -s + 70. What is b in 0 - 128/3*b - 2/3*b**5 - 224/3*b**2 - s*b**3 - 26/3*b**4 = 0?
-4, -1, 0
Let r be (32/24)/(1*49/21). Factor 0*b + r*b**2 + 0 + 2/7*b**4 + 6/7*b**3.
2*b**2*(b + 1)*(b + 2)/7
Suppose 162*h + 121*h**2 - 37*h**2 - 86*h**2 = 0. What is h?
0, 81
Suppose -342*x + 2*x**4 - 3466/7*x**2 - 1494/7*x**3 - 436/7 = 0. Calculate x.
-1, -2/7, 109
Suppose -q - 3 + 4 = 0. Let a be (-2 + 5 + 0)/q. Factor -2*k**4 + k**4 + 5*k**5 + 4*k**2 - 6*k**4 - 8*k**a.
k**2*(k - 2)*(k + 1)*(5*k - 2)
Let m(h) be the second derivative of -7*h - 1/42*h**4 - 2/21*h**3 + 0 + 0*h**2 + 1/70*h**5. Let m(c) = 0. Calculate c.
-1, 0, 2
Let l be ((-2200)/390)/(-55)*21/2. Let -20/13 - 2/13*n**2 + l*n = 0. What is n?
2, 5
Let t = 23 - 59. Let d = -34 - t. Factor 2*k**4 - 4*k**4 - 4*k**4 + 2*k**3 + d*k**3.
-2*k**3*(3*k - 2)
Factor -1/4*d**2 - 100 + 10*d.
-(d - 20)**2/4
Let a be 15 + (-6 - (2 + 3)). Let l(w) be the first derivative of 40*w**3 - 51/2*w**2 - 12*w**a + 1 + 6*w. Factor l(q).
-3*(q - 2)*(4*q - 1)**2
Let l(i) = 12*i**2 + 14*i + 3. Let m be l(0). Find c such that 3*c + 9/8*c**m + 3/2 - 33/8*c**2 = 0.
-1/3, 2
Let v(h) = 6*h - 2. Let l be v(1). Factor x**4 - 2*x**l + 37 - 37.
-x**4
Suppose -80 = -2*k - 8*k. Let u be 6/(-48) + 3/k. Find z, given that u*z**2 + 0 - 1/4*z = 0.
0, 1
Let d be 8/18*-1*(-36)/12. Factor 2/3*q - d + 2/3*q**2.
2*(q - 1)*(q + 2)/3
Let w(v) be the second derivative of 5*v**4/12 - 7*v**3/6 + v**2 - v - 10. Determine h, given that w(h) = 0.
2/5, 1
Suppose 2*q = -2*b - 0 + 8, -2*b + 4 = 0. Factor -q*p**3 - 2*p**5 + 5*p**5 - p**5.
2*p**3*(p - 1)*(p + 1)
Let n(i) = i**2 + 1. Let z be n(1). Let j = -361247/5 - -72251. What is k in -j - 8/5*k - 2/5*k**z = 0?
-2
Let i(y) be the third derivative of -y**6/90 + 2*y**5/3 - 14*y**4 + 784*y**3/9 + 54*y**2 - 5. Factor i(v).
-4*(v - 14)**2*(v - 2)/3
Let f(o) be the third derivative of 1/320*o**6 + 0*o + 1/160*o**5 - 1/64*o**4 + 0*o**3 + 0 - 4*o**2 - 1/560*o**7. Suppose f(i) = 0. Calculate i.
-1, 0, 1
Let f(m) be the first derivative of 7*m**5/100 + m**4/2 + 6*m**3/5 + 4*m**2/5 - 40*m + 23. Let s(g) be the first derivative of f(g). Let s(y) = 0. Calculate y.
-2, -2/7
Let a = 1572 - 7844/5. Solve 12/5*u + 8/5*u**2 + 4/5*u**5 - 8/5 + 0*u**4 - a*u**3 = 0.
-2, -1, 1
Let o(y) = -8*y - 50. Let p be o(-6). Let s(i) = -2*i - 4. Let u be s(p). Solve 0*w + 0 - 2/3*w**4 + u*w**3 + 2/3*w**2 = 0 for w.
-1, 0, 1
Let m(i) be the third derivative of -1/4*i**4 + 1/70*i**7 + 24*i**2 + 0*i - 1/20*i**5 + 1/20*i**6 + 0 + 0*i**3. Factor m(p).
3*p*(p - 1)*(p + 1)*(p + 2)
Suppose 12*k = -244 + 244. Factor 0 + 338/7*t**4 + 104/7*t**3 + k*t + 8/7*t**2.
2*t**2*(13*t + 2)**2/7
Let q(y) be the first derivative of -y**6/2 + 12*y**5/5 - 9*y**4/4 - 4*y**3 + 6*y**2 - 92. Suppose q(b) = 0. Calculate b.
-1, 0, 1, 2
Factor -2/3 - 2/3*j**2 + 1/9*j**3 + 11/9*j.
(j - 3)*(j - 2)*(j - 1)/9
Let n(z) = -4*z**3 + z + 1. Let m be n(-1). Let r(v) be the first derivative of -5/4*v**2 + 2/3*v**3 - 1/8*v**4 + v - m. Factor r(t).
-(t - 2)*(t - 1)**2/2
Let m(t) be the first derivative of -4*t**3/3 - 8*t**2 + 48*t + 538. Factor m(h).
-4*(h - 2)*(h + 6)
Let i(b) = 13*b - 218. Let g be i(17). Let c(h) be the first derivative of -8 + 0*h + 1/12*h**g + 1/8*h**2. Factor c(m).
m*(m + 1)/4
Let x(w) be the second derivative of -18*w - 3*w**3 - 1/8*w**4 + 0 - 27*w**2. Factor x(o).
-3*(o + 6)**2/2
Let u(q) be the third derivative of 0 + 0*q - 11*q**2 + 0*q**3 + 1/180*q**4 - 1/450*q**5. Let u(w) = 0. What is w?
0, 1
Suppose -63 = 3*q - 4*q. Let w = -63 + q. Find k, given that -2/13*k + w + 8/13*k**2 + 2/13*k**3 - 8/13*k**4 = 0.
-1, 0, 1/4, 1
Let k(l) be the second derivative of -25*l**5/2 + 25*l**4/2 - 5*l**3 + l**2 + 3*l + 19. Factor k(g).
-2*(5*g - 1)**3
Suppose -3*m = -0*c + c - 15, 0 = 4*c + 2*m - 20. Suppose c*g + 31 = 4*q, -5*q - g - 5 = -20. Factor -92/7*d + 24/7 + q*d**2.
4*(d - 3)*(7*d - 2)/7
Factor 3*c**2 - 3*c**2 + 3*c**4 + 154*c**3 - 159*c**3 - 2*c**2.
c**2*(c - 2)*(3*c + 1)
Let q(y) be the third derivative of -y**8/336 + y**7/105 + 2*y**2 - 147*y. Factor q(z).
-z**4*(z - 2)
Let h(u) be the second derivative of 1/36*u**3 + 0*u**5 - 1/252*u**7 - 1/36*u**4 + 1/90*u**6 + 0*u**2 - 2*u + 0. Suppose h(c) = 0. Calculate c.
-1, 0, 1
Let q(z) be the third derivative of z**7/105 - 7*z**6/60 - z**5/3 + 4*z**4/3 - z**2 - 248. Factor q(j).
2*j*(j - 8)*(j - 1)*(j + 2)
Suppose 41*i + 5*i + 2 = 94. Solve 2/3*v**i - 1