3*p**4/30 + 68*p**3/45 + 8*p**2/15 + 76. Let q(c) = 0. Calculate c.
-1, -2/3, -1/2, 0, 4
Let n(u) = 4*u**4 - 6*u**3 - 4*u**2 + 3. Let h(f) = -5*f**4 + 7*f**3 + 4*f**2 - 4. Let j be (-1)/2 + (-42)/12. Let o(t) = j*n(t) - 3*h(t). Factor o(c).
-c**2*(c - 4)*(c + 1)
Let n(v) = -2*v**2 + v + 3. Let t(k) = k**2 - 1. Let r(j) = n(j) + 3*t(j). Let c be r(1). Determine d, given that -3*d**3 + c*d - d**3 + 6*d**3 + 4*d**2 = 0.
-1, 0
Let r be 396/(-88) + (7 - 2). Let h(f) be the third derivative of 0 - 2/3*f**3 + r*f**4 + 9*f**2 - 1/5*f**5 + 1/30*f**6 + 0*f. Let h(i) = 0. Calculate i.
1
Let h(l) = l**3 - 11*l**2 - 6*l + 68. Let c be h(11). Let p be (-3)/c*(-4)/3. What is n in -2/11*n**3 + 0 + 0*n + 2/11*n**p = 0?
0, 1
Suppose -42 + 40 = -c. Suppose t + 0*t = c. Suppose 0*s**t - s**3 + s + 1/2*s**4 - 1/2 = 0. Calculate s.
-1, 1
Let y(g) = 2*g**3 + 2*g**2 - 3*g - 1. Let i be ((-1)/(-1))/((-1)/15). Let m = i - -18. Let k(h) = -h**3 + 1. Let o(s) = m*k(s) + 3*y(s). Factor o(v).
3*v*(v - 1)*(v + 3)
Suppose 2*c + c = 0. Let m = 7 - c. Factor 5*a**4 + a**4 - a**4 - 12*a**2 + m*a**2.
5*a**2*(a - 1)*(a + 1)
Let x(y) be the first derivative of -3*y**4/16 + 3*y**3/2 - 27*y**2/8 + 3*y + 68. Factor x(b).
-3*(b - 4)*(b - 1)**2/4
Let h(v) be the first derivative of 1/2*v**6 + 0*v**2 - 11 + 0*v - 3/4*v**4 + 2*v**3 - 6/5*v**5. Factor h(l).
3*l**2*(l - 2)*(l - 1)*(l + 1)
Suppose 19*u**2 - 4 + u**2 - 3*u + 13*u - 10*u**3 - 11 - 5*u**4 = 0. What is u?
-3, -1, 1
Let v(a) be the first derivative of -a**5/5 + 5*a**4/6 + 4*a**3/3 + 15*a**2/2 - 9. Let j(k) be the second derivative of v(k). Factor j(r).
-4*(r - 2)*(3*r + 1)
Let g(u) be the second derivative of u**7/315 - 4*u**6/225 - u**5/25 + 2*u**4/45 + u**3/9 + 233*u. Let g(d) = 0. What is d?
-1, 0, 1, 5
Let o be 1010/255 + 88/2244. Factor 4/9*x**o + 0 + 8/9*x**3 + 0*x**2 + 0*x.
4*x**3*(x + 2)/9
Let k = 225/8 - 1121/40. Factor -6561/10 - 18/5*l**3 - k*l**4 - 1458/5*l - 243/5*l**2.
-(l + 9)**4/10
Let w(s) be the second derivative of s**6/60 - s**4/12 - s**2/2 + 3*s. Let v(h) be the first derivative of w(h). Factor v(a).
2*a*(a - 1)*(a + 1)
Let y(r) = r**3 - 39*r**2 + 39*r - 71. Let u be y(38). Let v be 6/u + 455/143. Factor -4/3*b**v - 2/3*b**4 + 0 + 0*b - 2/3*b**2.
-2*b**2*(b + 1)**2/3
Suppose 9*o = 2*o - 70. Let a be o/6 + (-657)/(-54). Find m such that 39/2*m**3 + 6 - 30*m + 57/2*m**2 + a*m**5 - 69/2*m**4 = 0.
-1, 2/7, 1, 2
Let z = -56801/36 - -1578. Let v(c) be the second derivative of 3*c + 1/30*c**5 - 1/9*c**3 - z*c**4 + 7/90*c**6 + 0 + 0*c**2. Factor v(m).
m*(m - 1)*(m + 1)*(7*m + 2)/3
Let x be ((-140)/10 - -16)/6. Find s such that 0 + x*s**2 - s = 0.
0, 3
Let y = -8877/16 - -555. Let d(f) be the first derivative of 7 - y*f**4 - 3/4*f**2 - 3/4*f**3 + 0*f. Determine u so that d(u) = 0.
-2, -1, 0
Let f(c) be the third derivative of c**8/11200 - c**7/600 + c**6/80 - 9*c**5/200 + c**4/8 + 5*c**2. Let z(j) be the second derivative of f(j). Factor z(b).
3*(b - 3)**2*(b - 1)/5
Let i(h) be the second derivative of 5*h**4/12 - 10*h**3/3 + 10*h**2 + 80*h. Determine r, given that i(r) = 0.
2
Let i(v) = 13*v**2 + 14*v + 1. Let w(z) be the third derivative of 37*z**5/60 + 41*z**4/24 + 2*z**3/3 - 36*z**2. Let y(h) = -11*i(h) + 4*w(h). Factor y(g).
5*(g + 1)**2
Let v(p) be the first derivative of -p**4/38 - 14*p**3/19 - 54*p**2/19 + 384. Let v(a) = 0. What is a?
-18, -3, 0
Suppose 4*k = -0*k + x + 12, x = -4. Let g(i) = -i**3 - 7*i**2 - 6*i + 2. Let u be g(-6). Determine c so that -3*c**u + c**2 + k*c - 8 - 10*c = 0.
-2
Suppose 110*b - 125*b = 0. Factor -2/5*t**2 + 1/5*t**3 + 0*t + b.
t**2*(t - 2)/5
Factor -21/4*h - 3/8*h**2 + 45/8.
-3*(h - 1)*(h + 15)/8
Suppose 3/5*q**3 - 123/5*q + 57/5*q**2 + 63/5 = 0. Calculate q.
-21, 1
Suppose 0 = 3*d + 3*a - 15, 0*d = -3*d - a + 9. Let z(y) be the second derivative of 0 - 9*y - 1/12*y**4 + 1/2*y**d + 0*y**3. Let z(b) = 0. Calculate b.
-1, 1
Let t(z) be the third derivative of 3703*z**8/240 + 253*z**7/10 + 27*z**6/25 + z**5/75 - 3*z**2 - 31. Solve t(r) = 0 for r.
-1, -2/161, 0
Suppose -2426 - 54*z**2 + 2669 + 0*z**4 + 3*z**4 = 0. Calculate z.
-3, 3
Factor 546*y + 24843/2*y**2 + 6.
3*(91*y + 2)**2/2
Let x(q) be the third derivative of -q**7/3024 + q**6/288 + q**4/24 - 32*q**2. Let d(r) be the second derivative of x(r). What is u in d(u) = 0?
0, 3
What is m in -4*m + 2 - 1/2*m**2 + m**3 = 0?
-2, 1/2, 2
Let h be 4 + (2 - 16/6). Let y be (24 - 65) + 55 + (-102)/9. Suppose h*z**2 - 4/3*z + 0 + 2/3*z**4 - y*z**3 = 0. What is z?
0, 1, 2
Let z(w) be the first derivative of 0*w**2 + 0*w**3 + 1/42*w**4 - 4 + 3*w. Let x(a) be the first derivative of z(a). Determine c so that x(c) = 0.
0
Factor 5/4*k**4 - 105/4*k**2 + 115/4*k - 10 + 25/4*k**3.
5*(k - 1)**3*(k + 8)/4
Let r(h) = -h**2 - 723*h - 4299. Let c be r(-6). Let 0 + 10/3*m**2 - 2/3*m**c + 0*m = 0. Calculate m.
0, 5
Let l(y) be the second derivative of -2*y**6/45 - 2*y**5/15 + 5*y**4/3 - 8*y**3/9 - 40*y**2/3 - 2*y + 367. Suppose l(o) = 0. What is o?
-5, -1, 2
Let w be ((-98)/3185)/((-1)/5). Determine l, given that 2/13*l**2 + w + 4/13*l = 0.
-1
Let x(p) be the second derivative of -5*p**7/126 - p**6/9 + p**5/6 + 10*p**4/9 + 35*p**3/18 + 5*p**2/3 - 52*p. What is b in x(b) = 0?
-1, 2
Let g be (-2 + (8 - 2))/2. Factor 3 - 3*i - i + 3*i**2 + 0*i - g*i.
3*(i - 1)**2
Let i(b) be the second derivative of 0 - 1/12*b**4 - 1/6*b**3 + 10*b + 0*b**2 + 1/20*b**5 + 1/30*b**6. Factor i(a).
a*(a - 1)*(a + 1)**2
Factor 0*z**2 + 0*z**3 + 0 + 0*z + 2/5*z**4.
2*z**4/5
Suppose 5*m - 4*l + 0 + 2 = 0, 5*l - 25 = -5*m. Factor 135 + 85*s + 50*s + 5*s**3 + 41*s**2 + 4*s**m.
5*(s + 3)**3
Let g(c) be the third derivative of -c**8/45360 + c**7/2268 - c**6/405 - 17*c**5/60 + 6*c**2. Let v(i) be the third derivative of g(i). What is w in v(w) = 0?
1, 4
Let w(k) be the third derivative of k**5/15 - 2*k**4/3 - 10*k**3/3 + 143*k**2. Determine b so that w(b) = 0.
-1, 5
Let z be ((-3)/2)/(48/8) - (-85)/100. What is g in 9/5 - 12/5*g + z*g**2 = 0?
1, 3
Let l(a) = 16*a**3 - 4*a**2 - 240*a - 662. Let g(v) = 5*v**3 - v**2 - 80*v - 221. Let s(n) = 10*g(n) - 3*l(n). Factor s(x).
2*(x - 7)*(x + 4)**2
Let o(x) = -16*x**3 - 69*x**2 + 175*x - 79. Let s(h) = -3*h**3 - 14*h**2 + 35*h - 16. Let y(u) = 4*o(u) - 22*s(u). Determine p, given that y(p) = 0.
-18, 1
Let g(t) = t**3 - 4*t**2 + 6*t - 22. Let v be g(4). Suppose 2*z = -v*m, -5*m = -2*m + 4*z + 3. Factor 0 + 0*w + 1/4*w**2 + 1/4*w**4 + 1/2*w**m.
w**2*(w + 1)**2/4
Factor -7392*a**2 + 13*a**3 + 5*a**4 + 40*a + 7452*a**2 + 17*a**3.
5*a*(a + 2)**3
Let i(s) be the third derivative of s**7/105 + 2*s**6/15 - 52*s**5/15 - 40*s**4 + 1200*s**3 + 56*s**2. Suppose i(v) = 0. Calculate v.
-10, 6
Suppose 0 + 1/3*c**2 + 5*c = 0. What is c?
-15, 0
Suppose 0 = -h + 4*f - 8, 2*h + 2*h = -4*f + 8. Suppose -a - 3*t - 7 = -h*a, -2*t + 4 = 5*a. Factor -2*g**a + 151*g + 1 - 151*g + g**4.
(g - 1)**2*(g + 1)**2
Suppose -16*f - 34 = -34. Let k(z) be the second derivative of f*z**2 + 0 + 4*z - 1/6*z**3 - 1/24*z**4. Factor k(x).
-x*(x + 2)/2
Let z(b) be the third derivative of 1/170*b**6 + 0 - 1/34*b**4 + 0*b + 3/595*b**7 - 5*b**2 - 4/255*b**5 - 1/51*b**3. Find w, given that z(w) = 0.
-1, -1/3, 1
What is t in 25*t**3 + 5*t**3 - 15*t**3 - 3*t**3 + 64*t**2 - 16*t**4 - 48*t = 0?
-2, 0, 3/4, 2
Let n(b) be the third derivative of 1/210*b**7 + 0*b - 1/80*b**5 + 11/480*b**6 + 1/6*b**3 + 0 + 23*b**2 - 1/6*b**4. Suppose n(q) = 0. Calculate q.
-2, 1/4, 1
Let n(c) be the third derivative of -c**5/240 - c**4/96 + 63*c**2. Factor n(a).
-a*(a + 1)/4
Let s(d) be the second derivative of -d**6/6 - 9*d**5/4 - 35*d**4/3 - 30*d**3 - 40*d**2 + 40*d. Find x such that s(x) = 0.
-4, -2, -1
Let c = 213/7 + -6383/210. Let k(p) be the third derivative of -1/12*p**4 + 0*p**3 + 0*p + 10*p**2 + 0 - c*p**5. Suppose k(n) = 0. What is n?
-1, 0
Let z(i) be the first derivative of i**6/40 - i**5/5 + 5*i**4/8 - i**3 - 13*i**2/2 - 4. Let q(g) be the second derivative of z(g). Factor q(k).
3*(k - 2)*(k - 1)**2
Let x = 4 - 33. Let g = 31 + x. Find v, given that 2*v**3 + 4/3 - 2*v + 10/3*v**4 - 14/3*v**g = 0.
-1, 2/5, 1
Suppose -18 = -5*l + n, 2*l - 3*n - 12 = l. Let v(u) be the first derivative of -3 + u**2 + u + 1/3*u**l. Solve v(f) = 0 for f.
-1
Let w(r) = -r**3 - r - 5*r**2 + 6*r**2 + 2*r**2 - 3 + 2*r. Le