 - 8*l**3/27 + 4*l**2/9 + 42. Solve u(d) = 0 for d.
0, 2
Let t be (-34370)/11784*(-1 + -2)/1. Suppose 15/4*x**2 + 0 - t*x**4 + 5*x**3 + 0*x = 0. Calculate x.
-3/7, 0, 1
Let x = 563/30 - 103/6. Let p = 4 - x. Factor 0 - p*u + 4/5*u**2.
4*u*(u - 3)/5
Let g be (-58292)/(-78)*17/5. Let a = -2540 + g. Suppose 0 + 4/15*k + 2/3*k**3 + a*k**2 = 0. Calculate k.
-1, -2/5, 0
Let q be (956/36)/(3/(-9)). Let a = q - -80. Factor 0 - a*y + 1/3*y**2.
y*(y - 1)/3
Let z(r) = 27*r + 378. Let l be z(-14). Let n(f) be the first derivative of -2/15*f**3 + 1/5*f**4 - 2/25*f**5 + 0*f**2 + l*f - 13. Find i such that n(i) = 0.
0, 1
Let v(n) be the second derivative of 1/4*n**3 - 25*n - 1/60*n**6 - 13/24*n**4 + 0 + 9/2*n**2 - 7/40*n**5. Determine d, given that v(d) = 0.
-3, -2, 1
Let y be ((-5)/34 + 0)/(11065/(-17704)). Let w = -162/5 + 2784/85. Let y*a - w*a**2 + 0 - 10/17*a**3 = 0. Calculate a.
-1, 0, 2/5
Let q(a) = -a**5 - a**2 - 2. Let d(u) = -11*u**5 - 5*u**4 + 75*u**3 - 121*u**2 + 50*u - 12. Let s(o) = d(o) - 6*q(o). Find b such that s(b) = 0.
-5, 0, 1, 2
Suppose 503*b - 595*b + 276 = 0. Suppose -2/7*g**b - 50/7*g + 20/7*g**2 + 0 = 0. What is g?
0, 5
Let d = -51169/3 - -17057. Factor 1/3*f**2 - 1/3*f - d.
(f - 2)*(f + 1)/3
Let o(f) be the second derivative of f**7/84 + f**6/30 - 3*f**5/40 - f**4/6 + f**3/3 - 56*f. Suppose o(d) = 0. What is d?
-2, 0, 1
Let s(w) be the first derivative of -w**4/96 - w**3/48 + w**2/8 - 15*w - 3. Let v(f) be the first derivative of s(f). Factor v(d).
-(d - 1)*(d + 2)/8
Let y(x) be the second derivative of x**6/40 - 3*x**5/20 - 7*x**4/16 + 5*x**3/4 - 29*x - 1. Factor y(q).
3*q*(q - 5)*(q - 1)*(q + 2)/4
Let o(w) be the second derivative of 0*w**2 - 1/231*w**7 + 1/55*w**6 + 0*w**3 + 1/66*w**4 + 0 - 3/110*w**5 + w. Determine q, given that o(q) = 0.
0, 1
Let i = 29403/1048 + -384/131. Solve -153/8*a**3 + 3/2 + i*a**2 - 87/8*a + 27/8*a**4 = 0 for a.
1/3, 1, 4
Let x(g) be the first derivative of g**6/18 - 2*g**5/15 + g**4/12 - 103. Factor x(b).
b**3*(b - 1)**2/3
Let r(o) be the first derivative of -o**5/30 - 17*o**4/24 + 79*o**3/18 - 103*o**2/12 + 7*o + 218. Solve r(p) = 0 for p.
-21, 1, 2
Let l = -7 + 10. Let h be ((-15)/(-10))/(l/4). Let -h - 7*c**2 - 6*c**3 - c**2 - 10*c - 6*c**2 = 0. Calculate c.
-1, -1/3
Let s(m) be the third derivative of 0*m + 1/24*m**4 - 1/60*m**5 + 0*m**3 - 19*m**2 + 0. Determine v, given that s(v) = 0.
0, 1
Let j = -66 - -63. Let y be 3/6 + (-4)/(-72)*j. Find t, given that 2/3 + y*t**2 - t = 0.
1, 2
Let n(c) be the third derivative of 1/21*c**3 - 6*c**2 - 1/28*c**4 + 0*c + 1/70*c**5 - 1/420*c**6 + 0. Let n(f) = 0. What is f?
1
Let d(v) be the first derivative of 2*v**5/35 - 2*v**3/7 - 2*v**2/7 - 54. Factor d(c).
2*c*(c - 2)*(c + 1)**2/7
Let w(k) be the third derivative of k**7/945 + k**6/72 - k**5/45 - 5*k**4/6 + 12*k**2. Let u(y) be the second derivative of w(y). Determine c so that u(c) = 0.
-4, 1/4
Let x(z) = -105*z**3 + 1671*z**2 - 2688*z + 1023. Let o(a) = 13*a**3 - 209*a**2 + 336*a - 128. Let l(h) = -33*o(h) - 4*x(h). Factor l(j).
-3*(j - 22)*(j - 1)*(3*j - 2)
Let w(l) = 12*l**2 + 70*l - 9. Let o be w(-6). Factor -4/19*z - 2/19 + 2/19*z**4 + 0*z**2 + 4/19*z**o.
2*(z - 1)*(z + 1)**3/19
Let h(t) = 28*t. Let v be (-3 - (-7 + 3))/(4/(-36)). Let x(b) = -b**2 - 57*b. Let c(y) = v*h(y) - 4*x(y). Factor c(q).
4*q*(q - 6)
Let r(d) = 8*d**4 + 51*d**3 + 45*d**2 + 37*d + 7. Let s(y) = 8*y**4 + 52*y**3 + 44*y**2 + 40*y + 8. Let m(t) = -8*r(t) + 7*s(t). Find v, given that m(v) = 0.
-4, -1, -1/2, 0
What is u in 0*u + 3*u**4 + 0*u + 31*u**3 - 9*u**2 - 45*u**3 + 20*u**3 = 0?
-3, 0, 1
Let f(p) be the second derivative of -p**7/1260 + p**6/90 - p**5/20 + p**4/2 - 14*p. Let j(l) be the third derivative of f(l). Factor j(y).
-2*(y - 3)*(y - 1)
Let -3/8*i**2 + 141/8*i - 99/2 = 0. Calculate i.
3, 44
Let k be (-48)/144 - 404/3. Let h = k - -683/5. Suppose -h*u**2 + 2*u - 2/5 = 0. What is u?
1/4, 1
Let y = 3/4 + 0. Let h(l) be the first derivative of -1 - y*l**2 + 3*l - l**3 + 3/8*l**4. Factor h(i).
3*(i - 2)*(i - 1)*(i + 1)/2
Let r(l) = l**2 + 9*l. Let g be r(-9). Let n be (2 + -2)*(g/3 + 1). Factor -1/2*b**4 + 0*b + 0 + 0*b**2 + n*b**3 - 1/2*b**5.
-b**4*(b + 1)/2
Let j(a) be the second derivative of -24*a**2 - 1/9*a**4 - 8/3*a**3 + 0 + 6*a. Factor j(b).
-4*(b + 6)**2/3
Let t(w) be the second derivative of -w**6/72 + w**5/24 - 5*w**3/6 - 5*w. Let r(m) be the second derivative of t(m). Let r(d) = 0. Calculate d.
0, 1
Let q(i) = 9*i**4 + 12*i**3 + 11*i**2 + 8*i. Let l(p) = -19*p**4 - 22*p**3 - 22*p**2 - 19*p. Let g(d) = 2*l(d) + 5*q(d). Determine s, given that g(s) = 0.
-1, -2/7, 0
Let x = -1065/209 + 102/19. Let i(q) be the third derivative of 3*q**2 + 0 - 7/330*q**5 + 0*q + 5/44*q**4 + 1/660*q**6 - x*q**3. Find h, given that i(h) = 0.
1, 3
Let n(c) be the first derivative of -3*c**4/20 - 16*c**3/5 - 87*c**2/10 - 42*c/5 - 68. Factor n(w).
-3*(w + 1)**2*(w + 14)/5
Let m be (25/15 - 2)*0. Let k(n) be the third derivative of 0 - 1/100*n**5 - n**2 + 1/40*n**4 + m*n + 0*n**3. Factor k(p).
-3*p*(p - 1)/5
Let r be 13/(-78) + 206/84 + 0. Let v be 8/56 - 130/(-70). Solve 12/7*h**v - 4/7*h**4 - r*h - 16/7 + 8/7*h**3 = 0 for h.
-1, 2
Factor -36*h**2 - 11 + 0 - 9*h**4 + 14*h**3 + 34*h + 16*h**4 - h**4 - 7*h**4.
-(h - 11)*(h - 1)**3
Let c(l) = 120*l**4 + 30*l**3 + 55*l**2 + 100*l - 175. Let j(r) = 11*r**4 + 3*r**3 + 5*r**2 + 9*r - 16. Let n(z) = 6*c(z) - 65*j(z). Solve n(t) = 0 for t.
-1, 1, 2
Let q(b) = 14 + 2*b**2 - 13 + 2*b + 0*b. Let w be q(-2). Let -w*a**5 + 6*a**3 + 1/2*a**4 + 0 - 1/2*a**2 - a = 0. Calculate a.
-1, -2/5, 0, 1/2, 1
Let g(f) be the second derivative of -f**4/90 + 4*f**3/15 - 12*f**2/5 - 3*f - 2. Solve g(r) = 0.
6
Let v(z) = -15*z**2 - 547*z - 4846. Let q(g) = -5*g**2 - 182*g - 1616. Let k(m) = 7*q(m) - 2*v(m). Determine o so that k(o) = 0.
-18
Let q(n) be the second derivative of n**8/1680 - n**7/630 - n**6/90 + 5*n**4/12 + 10*n. Let f(g) be the third derivative of q(g). Factor f(y).
4*y*(y - 2)*(y + 1)
Let r(b) be the first derivative of -b**6/120 - b**5/8 - 4*b**3/3 - 17. Let m(w) be the third derivative of r(w). Let m(l) = 0. Calculate l.
-5, 0
Let m(k) be the third derivative of -11*k**2 + 1/84*k**8 + 0*k + 0*k**4 + 0 + 0*k**3 - 1/30*k**6 + 0*k**7 + 0*k**5. What is u in m(u) = 0?
-1, 0, 1
Let w(i) be the first derivative of -i**5 - 15*i**4/4 - 5*i**3 - 5*i**2/2 + 56. Factor w(r).
-5*r*(r + 1)**3
Suppose 5*f = 4*n - 41 + 33, -n + 5*f = -2. Factor 2/7*m - 4/7 + 2/7*m**n.
2*(m - 1)*(m + 2)/7
Let n be (-8)/((1554/(-444))/((-1)/(-2))). Find i, given that n*i**2 - 2/7*i - 12/7 - 2/7*i**3 = 0.
-1, 2, 3
Let m(v) be the second derivative of 8/3*v**4 + 0 + 38/3*v**3 - 6*v + 20*v**2 - 1/5*v**5. Factor m(n).
-4*(n - 10)*(n + 1)**2
Let f(a) = 20*a**4 + 4*a**3 - 40*a**2 - 16*a. Let n(o) = o**4 - o**2 - 2. Let x(y) = -f(y) + 16*n(y). Suppose x(p) = 0. What is p?
-2, 1, 2
Let u(v) be the second derivative of v**6/315 - 2*v**5/105 + v**4/42 + 4*v**3/63 - 4*v**2/21 - 108*v. Determine n, given that u(n) = 0.
-1, 1, 2
Let v(p) be the third derivative of -1/30*p**5 - 1/4*p**4 + 7*p**2 + 1/3*p**3 + 0 + 0*p + 1/20*p**6. Factor v(b).
2*(b - 1)*(b + 1)*(3*b - 1)
Let j be 6/(-4) + 78/(-192)*-4. Let o(l) be the third derivative of 0 - l**2 + 1/20*l**5 + 0*l**3 + 0*l - j*l**4. Factor o(c).
3*c*(c - 1)
Let f(x) be the second derivative of -x**6/6 + 5*x**5/4 - 15*x**4/4 + 35*x**3/6 - 5*x**2 - 2*x - 35. Factor f(l).
-5*(l - 2)*(l - 1)**3
Suppose 9 = -3*w - 4*n + 20, 3*w - n = 1. Let y(a) be the first derivative of -w + 48/5*a**5 + 27*a + 66*a**4 - 99*a**2 + 97*a**3. Factor y(g).
3*(g + 3)**2*(4*g - 1)**2
Let o(a) be the second derivative of 0*a**2 + 1/21*a**7 + 4/3*a**3 + 0 - 27*a + 2/5*a**6 + 13/10*a**5 + 2*a**4. Suppose o(p) = 0. What is p?
-2, -1, 0
Suppose -u = 4*h + 29, -65 = 5*u - 0*h + 4*h. Let k be (-3)/u*(-12)/(-16). Factor -1/2*w**3 - 3/4*w**4 - 1/4*w**5 + 1/2*w**2 + 3/4*w + k.
-(w - 1)*(w + 1)**4/4
Let q(r) be the second derivative of r**6/105 - 8*r**5/35 + 13*r**4/42 + 10*r**3/7 + 381*r. Let q(g) = 0. Calculate g.
-1, 0, 2, 15
Let n(w) be the third derivative of w**6/1980 - w**5/330 + w**4/132 - w**3/3 + 8*w**2. Let z(p) be the first derivative of n(p). What is g in z(g) = 0?
1
Let s(n) = -n**3 + 4*n**2 + 4*n - 10. Let l be s(4). Facto