ve of -1/3*j**2 + 2/9*j + 2/9*j**3 - 1/18*j**4 - 10. Factor k(o).
-2*(o - 1)**3/9
Let a(u) be the first derivative of -u**6/120 - 3*u**5/40 - u**4/4 - 7*u**3/3 + 7. Let l(p) be the third derivative of a(p). Factor l(z).
-3*(z + 1)*(z + 2)
Let k(b) be the second derivative of 1/3*b**3 + 0 + 34*b - 1/42*b**7 - 5/12*b**4 + 0*b**2 + 3/20*b**5 + 1/30*b**6. Determine m, given that k(m) = 0.
-2, 0, 1
Let b(g) = 28*g**2 + 1042*g - 315. Let x(r) = 14*r**2 + 514*r - 157. Let q(l) = -3*b(l) + 5*x(l). Let q(y) = 0. Calculate y.
-40, 2/7
Suppose 4 = -d - 3*d + 3*r, -4*r + 6 = -5*d. Let z(x) = 4*x - 9. Let j be z(3). Factor 2*f**3 - j*f**2 - 1/2 + d*f - 1/2*f**4.
-(f - 1)**4/2
Let f(z) be the second derivative of 3/2*z**2 + 0 - 3/10*z**6 - 1/14*z**7 + z + 1/2*z**4 - 3/10*z**5 + 3/2*z**3. Factor f(v).
-3*(v - 1)*(v + 1)**4
Let a(g) be the first derivative of 3*g**5/5 - 9*g**4/2 - 16*g**3 - 468. Suppose a(v) = 0. What is v?
-2, 0, 8
Let s(o) be the first derivative of o**6/18 - 2*o**5/15 + o**4/12 - 86. Find r, given that s(r) = 0.
0, 1
Let o(u) be the second derivative of -u**8/13440 + u**7/3360 + u**6/2880 - u**5/480 + 11*u**3/3 + 32*u. Let n(g) be the second derivative of o(g). Factor n(j).
-j*(j - 2)*(j - 1)*(j + 1)/8
Let -160/9 - 2/9*j**2 - 16/3*j = 0. What is j?
-20, -4
Factor 800 + 1/2*k**2 - 40*k.
(k - 40)**2/2
Let z = -599/10 + 60. Let x(g) be the third derivative of -g**2 + 0 + 0*g + 0*g**3 - z*g**5 - 1/60*g**6 - 1/6*g**4. Factor x(l).
-2*l*(l + 1)*(l + 2)
Let n(j) = 1 - 3 + 0 - 4*j - 2. Let s be n(-9). Factor -32 + s + 2*g**2 - 2*g.
2*g*(g - 1)
Factor -18/5 - 2/5*v**2 - 12/5*v.
-2*(v + 3)**2/5
Let o(k) = k**2 - k + 3. Let s be ((-6)/(-9))/((-6)/27). Let n be o(s). Factor n*m**2 + 21*m**2 + 27 - 72*m + 12*m**2.
3*(4*m - 3)**2
Let o be 4 + 5/(-20) - 3 - (-170)/(-408). Factor o*d + 1/3*d**2 - 2.
(d - 2)*(d + 3)/3
Let y(c) = 97*c + 5. Let l be y(0). Let z(f) be the second derivative of 0*f**3 + 3*f + 0 + 1/2*f**4 + 1/10*f**l + 0*f**2. Let z(g) = 0. What is g?
-3, 0
Determine g, given that 4/5*g**3 + 4/5*g - 1/5 - 1/5*g**4 - 6/5*g**2 = 0.
1
Let k(m) = -5*m**2 - 103*m + 1159. Let g(h) = -2*h**2 - 51*h + 579. Let x(s) = 7*g(s) - 3*k(s). Let x(y) = 0. What is y?
24
Let h = -31/24 - -21/8. Let q = 2/15 - -38/15. Suppose -q + h*u + 4/3*u**2 = 0. Calculate u.
-2, 1
Let c(p) be the first derivative of -25 - 2/45*p**3 + 7/15*p**2 + 0*p. Factor c(m).
-2*m*(m - 7)/15
Let o(y) be the first derivative of -12*y**5/95 + 11*y**4/38 + 88*y**3/57 + 31*y**2/19 + 8*y/19 + 334. Suppose o(a) = 0. What is a?
-1, -1/6, 4
Let c(q) be the first derivative of q**4/44 + 20*q**3/33 - q**2/22 - 20*q/11 - 136. Factor c(y).
(y - 1)*(y + 1)*(y + 20)/11
Let b(s) be the second derivative of -s**5/80 + s**4/16 - s**2/2 - 2*s - 132. Solve b(n) = 0.
-1, 2
Let h(a) = a**2 + 8*a. Let m be h(-7). Let p = m + 15. Factor 14*y**4 + 6*y**3 - 6*y**4 - y**4 + p*y**4.
3*y**3*(5*y + 2)
Let c(b) = -b**3 + 3*b**2 + 7*b - 9. Let t be c(4). Factor -4*u**5 - 7*u**3 - 36*u**3 + 8*u**t - 10*u**2 - 40*u**4 - 11*u**5.
-5*u**2*(u + 1)**2*(3*u + 2)
Let j(q) be the third derivative of -1/150*q**5 - 64/15*q**3 - 9*q**2 + 0*q + 4/15*q**4 + 0. Factor j(r).
-2*(r - 8)**2/5
Let w = -277 - -280. Let y(s) be the third derivative of 9*s**2 + 3/100*s**5 + 0 + 1/10*s**w + 0*s + 3/40*s**4 + 1/200*s**6. Factor y(q).
3*(q + 1)**3/5
Let b(a) = -a**3 - 9*a**2 + 7*a. Let q(d) be the second derivative of -d**5/20 - d**4/12 + d**3/6 + 8*d. Let s(x) = b(x) - 3*q(x). What is v in s(v) = 0?
0, 1, 2
Let a = -25 - -28. Let p = -1 + a. Find k, given that 2*k - 50*k**2 + 22*k**2 + p*k**3 - 4*k**5 + 19*k**2 + 9*k**4 = 0.
-1, 0, 1/4, 1, 2
Let m be -3*(65/(-39) + 8 - 8). Find c such that 4/7*c**4 - 4/7*c**2 + 0 + 0*c**3 - 2/7*c**m + 2/7*c = 0.
-1, 0, 1
Let y(z) be the third derivative of 0*z**3 - 1/12*z**5 + 0 - 1/72*z**6 - 5/36*z**4 - 19*z**2 + 0*z. Factor y(f).
-5*f*(f + 1)*(f + 2)/3
Suppose 0 = -70*o + 42*o. Let o + 6/19*u - 2/19*u**2 = 0. What is u?
0, 3
Let x(i) be the third derivative of 1/15*i**4 + 0 - 1/30*i**5 - 18*i**2 + 0*i + 1/300*i**6 + 0*i**3. Determine y, given that x(y) = 0.
0, 1, 4
Let b be (-12)/(-21)*(-8)/(24 + -32). Factor 16/7 - b*n**3 + 0*n - 12/7*n**2.
-4*(n - 1)*(n + 2)**2/7
Let r(f) = f**2 - 6*f - 4. Let v be r(-2). Suppose h = -v*h + 39. Find l, given that 4/9*l - 14/9*l**4 + 0 - 22/9*l**2 + 32/9*l**h = 0.
0, 2/7, 1
Solve 5/2*f**3 - 80 - 75*f**2 - 315/2*f = 0.
-1, 32
Suppose 13*s - 15 = 37. Suppose 4*m**5 - 4*m**2 + 20*m**3 + 12*m**3 - 5*m**4 + 20*m**2 + 25*m**s = 0. What is m?
-2, -1, 0
Let i(f) be the second derivative of 5*f**4/12 + 65*f**3/6 - 75*f**2 + 16*f. Factor i(c).
5*(c - 2)*(c + 15)
Let z(k) be the first derivative of k**7/168 - k**6/36 + k**5/24 + 2*k**3/3 + 2. Let x(l) be the third derivative of z(l). Factor x(r).
5*r*(r - 1)**2
Suppose -3*a + d = -5*a + 5, 0 = 2*a + 2*d. Let v(h) be the first derivative of 3 + 0*h - 3/5*h**2 + 3/10*h**4 + 2/15*h**3 - 2/25*h**a. Factor v(y).
-2*y*(y - 3)*(y - 1)*(y + 1)/5
Let y(m) be the third derivative of 0 + 29/54*m**4 + 1/15*m**5 + 19*m**2 + 4/9*m**3 + 2*m. Let y(i) = 0. What is i?
-3, -2/9
Let m(y) = -15*y**3 - 45*y**2. Let q(i) be the first derivative of -7*i**4/4 - 23*i**3/3 + 20. Let l(r) = -2*m(r) + 5*q(r). Factor l(g).
-5*g**2*(g + 5)
Let x(l) = -l**3 - 7*l**2 - 4*l. Let j = -68 - -66. Let k(s) = -s**3 - s**2 - s. Let h(z) = j*k(z) - x(z). Factor h(n).
3*n*(n + 1)*(n + 2)
Let c = -7 + -8. Let f be (2 - -2)*c/(-12). Factor -2*p**3 - f*p + 3*p + 4*p.
-2*p*(p - 1)*(p + 1)
Let k = 22 + -20. Let u be 0/(k + 0/(-4)). Factor -2*x**2 + 6*x - 5*x + u*x**2 + 3*x.
-2*x*(x - 2)
Let 227*k**3 - 7*k**2 + k**4 - 18 + 27*k - 119*k**3 - 111*k**3 = 0. Calculate k.
-3, 1, 2, 3
Let u(l) be the first derivative of -l**3/3 + l**2 + 15*l - 139. Factor u(s).
-(s - 5)*(s + 3)
Let m = -778 - -780. Factor 0 + 3/4*x - 3/4*x**m.
-3*x*(x - 1)/4
Let p(o) = 4*o**2 + 28*o + 10. Let m(z) = 8*z + 9. Let g be m(-2). Let f be p(g). What is x in -23/2*x**2 + f*x - 2 + 7/2*x**3 = 0?
2/7, 1, 2
Suppose z**5 - 2*z**3 + 20*z**2 + 13*z + 16 - 2*z**5 - 6 + 16*z - 2*z - 6*z**4 = 0. Calculate z.
-5, -1, 2
Let x(w) be the first derivative of 4/3*w**3 + w**4 + 4 - 4*w - 2*w**2. Determine p, given that x(p) = 0.
-1, 1
Let 2/15*j**4 - 2/5*j**3 + 2/5*j + 2/15*j**2 - 4/15 = 0. Calculate j.
-1, 1, 2
Let b = -15269/30 - -509. Let x(l) be the second derivative of -4/3*l**3 - b*l**5 + 0 + 1/3*l**4 + 8/3*l**2 - 6*l. Let x(p) = 0. What is p?
2
Suppose -46*c - 240 = -106*c. Factor 3/2*y**3 - 3/2*y**2 + 0 - 3/2*y + 3/2*y**c.
3*y*(y - 1)*(y + 1)**2/2
Let l be ((-15)/(-21))/(236/413). Determine u, given that -1/2*u - 7/4*u**2 + 0 - l*u**3 = 0.
-1, -2/5, 0
Suppose y - 10 = -r, 28*y - 25*y - 12 = 0. Let a be 1*(-10 + r)*(-2)/12. Factor -8/3*u - 8/3 - a*u**2.
-2*(u + 2)**2/3
Suppose 0 = 2*z + 2*t - 14, z + 4*t - 26 = -2*z. Suppose d + z - 5 = 0. Find a, given that 0*a**4 - 4/15 + 2/15*a**5 + 4/15*a**2 + 2/5*a - 8/15*a**d = 0.
-2, -1, 1
Let c(a) be the first derivative of 72/7*a + 12/7*a**2 + 2/21*a**3 - 2. Factor c(g).
2*(g + 6)**2/7
Let s(d) = 2*d**2 + 7. Let c(x) = x**2 + x + 9. Let m(y) = y**2 - y + 2. Let g(v) = c(v) + 2*m(v). Let w(n) = 3*g(n) - 5*s(n). Solve w(h) = 0 for h.
-4, 1
Suppose -8*y**2 - 13/2*y - 2 - 5/4*y**4 - 37/8*y**3 - 1/8*y**5 = 0. What is y?
-4, -2, -1
Factor 1/4*r**4 + r - 3/2*r**2 - r**3 + 5/4.
(r - 5)*(r - 1)*(r + 1)**2/4
Let z(d) = -179*d - 4. Let a be z(-1). Determine w so that -158*w**2 + 140*w + 157*w**2 + a*w**3 - 294*w**2 - 20 = 0.
2/7, 2/5, 1
Suppose -14112/5*z + 3/5*z**4 - 294/5*z**3 + 7491/5*z**2 + 6912/5 = 0. What is z?
1, 48
Determine y so that 15/2*y**2 - 25/4*y**3 + 0*y + 0 - 5/4*y**4 = 0.
-6, 0, 1
Let x(o) be the first derivative of o**3/3 + 3*o**2/2 - 10*o - 106. Factor x(l).
(l - 2)*(l + 5)
Suppose -48 = -644*p + 620*p. Find k such that 0 + 2/5*k**3 + 2/15*k + 2/5*k**p + 2/15*k**4 = 0.
-1, 0
Let g(p) = 13*p**4 + 22*p**3 + 20*p**2 - 4*p. Let h(w) = -w**4 + 2*w. Let a(d) = g(d) + 5*h(d). Solve a(q) = 0 for q.
-1, -3/4, 0
Let z(g) be the first derivative of -2*g**3/57 - 102*g**2/19 - 5202*g/19 - 14. Factor z(l).
-2*(l + 51)**2/19
Let n(a) be the third derivative of a**7/95 - a**6/57 - a**5/190 + a**4/114 + 39*a**2. Suppose n(v) = 0. Calculate v.
-1/3, 0, 2/7, 1
Factor -141*h**2 + 