= 0.
-5, -3, -2, -1
Let n(b) be the first derivative of 4*b**5/5 - 384*b**4 + 73728*b**3 - 7077888*b**2 + 339738624*b - 272. Factor n(w).
4*(w - 96)**4
Let s(d) = -7*d**2 + 16*d - 35. Let j(u) = 3*u**2 - 8*u + 17. Let p(o) = 5*j(o) + 2*s(o). Determine n so that p(n) = 0.
3, 5
Determine d, given that -7933*d**4 + 32*d - 12*d**2 - 16 + 7937*d**4 + 10*d**3 - 18*d**3 = 0.
-2, 1, 2
Let q(p) = 185*p**2 - 1. Let l be q(-1). Solve -182*j**3 + l*j**3 - 6*j + 4*j = 0 for j.
-1, 0, 1
Let k(b) = -3*b**2 + 64*b - 330. Let q be k(9). Factor -22/7*l**2 + 4/7*l + 18/7*l**q + 0.
2*l*(l - 1)*(9*l - 2)/7
Let x(p) be the second derivative of 1/120*p**6 - 1/24*p**4 - 7*p + 0*p**2 + 1/80*p**5 + 0*p**3 + 0. Factor x(m).
m**2*(m - 1)*(m + 2)/4
Suppose -4/19*n**4 - 32/19*n - 34/19*n**3 - 78/19*n**2 + 40/19 = 0. Calculate n.
-5, -2, 1/2
Let c(k) = 21*k**2 - 3*k - 45. Let q(t) = 11*t**2 - 2*t - 23. Let z(m) = -5*c(m) + 9*q(m). Find u such that z(u) = 0.
-2, 3/2
Let n = 1364 + -1364. Let y(f) be the first derivative of 4/9*f**3 + 11 - 1/6*f**4 + n*f - 1/3*f**2. Determine m, given that y(m) = 0.
0, 1
Let x(y) be the second derivative of -5/36*y**4 - 7/18*y**3 + 3 + 1/15*y**5 + 1/3*y**2 + y. Determine f so that x(f) = 0.
-1, 1/4, 2
Suppose -87*p + 35*p = -208. Let l(g) be the third derivative of 0 - 1/70*g**7 + 5/2*g**p - 4*g**3 + 7/40*g**6 + 0*g - 9/10*g**5 + 8*g**2. Factor l(v).
-3*(v - 2)**3*(v - 1)
Let z(l) be the first derivative of -l**6/21 - 6*l**5/35 + 9*l**4/14 + 46*l**3/21 - 24*l**2/7 - 72*l/7 - 156. What is f in z(f) = 0?
-3, -1, 2
Let w be (17/((-68)/24))/(-2). Let x be 0/(-2) - (-2 + 2). Determine j so that 6 + 3*j + 3*j**4 + x*j**5 + w*j**5 - 6*j**3 + 3*j**4 - 12*j**2 = 0.
-2, -1, 1
Let k(w) be the first derivative of -1/4*w + 2 + 1/12*w**3 + 0*w**2. Factor k(i).
(i - 1)*(i + 1)/4
Let k(j) be the first derivative of -5*j**3/3 + 20*j**2 + 100*j + 151. Factor k(a).
-5*(a - 10)*(a + 2)
Suppose 0*y - 5*y = -15. Let h(g) = 2*g**2 + 8*g + 10. Let i(b) = -2*b**2 - 8*b - 9. Let v(x) = y*h(x) + 4*i(x). Factor v(a).
-2*(a + 1)*(a + 3)
Let g(j) = 4*j + 62. Let f be g(-15). Let l(c) be the first derivative of -5/18*c**4 - 2/27*c**3 + 8/9*c**f + 1/27*c**6 - 8/9*c + 2/45*c**5 - 6. Factor l(p).
2*(p - 1)**3*(p + 2)**2/9
Let h = 643/21 + -205/7. Solve 4/3*y + 1/3*y**2 + h = 0 for y.
-2
Let g(s) be the second derivative of s**4/18 + 2*s**3/3 + 5*s**2/3 - 232*s. Solve g(w) = 0 for w.
-5, -1
Suppose 21/4*x**2 + 3/4*x**3 - 3/4*x - 3/4*x**4 - 9/2 = 0. What is x?
-2, -1, 1, 3
Let v = 132 - 129. Let s(l) be the first derivative of -v + 8*l**3 + 6*l - 1/2*l**6 - 6/5*l**5 + 21/2*l**2 + 3/2*l**4. Find i, given that s(i) = 0.
-1, 2
Let q(x) be the second derivative of x**7/42 + x**6/3 + 9*x**5/5 + 29*x**4/6 + 43*x**3/6 + 6*x**2 + 24*x - 2. Determine v so that q(v) = 0.
-4, -3, -1
Let o(n) = n**3 - 5*n**2 - n + 7. Let a be o(5). Solve -2*p**2 + 2*p**3 - a*p**2 + 14*p - 12*p = 0.
0, 1
Factor 11*i**2 - 42*i**5 - 25*i**3 - 215*i**3 + 53*i**2 - 83*i**5 + 300*i**4.
-i**2*(5*i - 4)**3
Let u(s) be the first derivative of -s**4/14 + 2*s**3/7 + 6*s**2/7 - 16*s/7 + 139. What is v in u(v) = 0?
-2, 1, 4
Let f(i) = -3*i**3 + i**2 + 6*i + 6. Let y be f(-1). Let a = -9 - -11. Let -a*u**4 - 2*u - 2/5 - 4*u**2 - 2/5*u**5 - y*u**3 = 0. What is u?
-1
Suppose -2*p = -8*p + 18. Suppose -t - 3*t**2 + 0*t**3 - p*t**3 + 1 - 2*t**2 = 0. What is t?
-1, 1/3
Let w(o) be the second derivative of -o**5/4 + 5*o**4/2 - 15*o**3/2 + 477*o. Factor w(m).
-5*m*(m - 3)**2
Let y be (-1)/2*(-2 + 1). Suppose -15 = -13*z + 24. Solve -y + 1/2*x**z + 3/2*x - 3/2*x**2 = 0 for x.
1
Let n = 1600/3 - 533. Let g(z) be the second derivative of 1/180*z**6 - 1/9*z**3 + 1/60*z**5 - 1/24*z**4 + n*z**2 + 0 + 8*z. Suppose g(p) = 0. Calculate p.
-2, 1
Let b(y) = -2*y**2 - 20*y - 44. Let n be b(-6). Let z(f) be the third derivative of 2*f**2 + 0*f + 0 + 0*f**3 - 1/20*f**5 + 1/8*f**n. Factor z(t).
-3*t*(t - 1)
Let t(h) be the second derivative of -h**8/1680 - 2*h**7/315 - h**6/36 - h**5/15 - 25*h**4/12 + 13*h. Let z(x) be the third derivative of t(x). Factor z(m).
-4*(m + 1)**2*(m + 2)
Let r(a) be the second derivative of -a**4/78 - a**3/13 + 4*a**2/13 + 15*a - 1. Factor r(o).
-2*(o - 1)*(o + 4)/13
Let j(r) = -10*r**2 + 30*r - 34. Let f(l) = -2*l**2 + 6*l - 7. Let n be ((-9)/(-9))/((-1)/(-6)*-2). Let h(u) = n*j(u) + 14*f(u). Factor h(q).
2*(q - 2)*(q - 1)
Let u(b) = -120*b + 365. Let q be u(3). Let t(j) be the second derivative of 1/21*j**3 + 0 - 2/7*j**2 - 1/70*j**q + 1/21*j**4 + 3*j. Factor t(s).
-2*(s - 2)*(s - 1)*(s + 1)/7
Let m be 1 - (-2)/(-4)*(86 + -84). Let 11/5*x**4 + 2*x**2 + 2/5*x + 1/2*x**5 + m + 33/10*x**3 = 0. What is x?
-2, -1, -2/5, 0
Find w, given that -76/9*w + 32/9*w**2 + 40/9 + 4/9*w**3 = 0.
-10, 1
Solve 28*z**2 + 365 - 4 - 27*z**2 + 38*z = 0 for z.
-19
Suppose 0 = 2*a + 2*v - 453 + 451, 0 = -2*a - 4*v. Factor -2/11*w**3 + 8/11 - 16/11*w + 10/11*w**a.
-2*(w - 2)**2*(w - 1)/11
Let p(j) be the third derivative of -2/3*j**3 + 0 - 2*j**2 + 0*j - 1/40*j**5 + 3/16*j**4 + 1/720*j**6. Let k(u) be the first derivative of p(u). Factor k(c).
(c - 3)**2/2
Let b(j) = -10*j**3 - 35*j**2 - 74*j - 46. Let m(t) = -28*t**3 - 104*t**2 - 223*t - 139. Let x(p) = 8*b(p) - 3*m(p). Factor x(d).
(d + 1)*(2*d + 7)**2
Let r(a) be the third derivative of -1/60*a**5 + 0*a**3 + 13*a**2 + 0 + 0*a + 1/48*a**6 + 0*a**4. Factor r(p).
p**2*(5*p - 2)/2
Let o(t) = -3*t**2 + 48*t. Let w(k) = 3*k**2 - 48*k. Let p(h) = -6*o(h) - 5*w(h). Let p(s) = 0. Calculate s.
0, 16
Let d(i) be the second derivative of i**4/42 + 62*i**3/21 - 9*i**2 + 65*i. Suppose d(j) = 0. Calculate j.
-63, 1
Suppose -6/11*h**3 - 72/11*h - 48/11*h**2 + 0 = 0. What is h?
-6, -2, 0
Let u(q) be the second derivative of q**5/4 - 35*q**4/24 + 5*q**3/3 - 3*q**2 - 11*q. Let m(o) be the first derivative of u(o). Factor m(p).
5*(p - 2)*(3*p - 1)
Let m(x) be the third derivative of 1/228*x**4 + 13*x**2 + 0 + 0*x + 1/285*x**5 - 1/380*x**6 + 0*x**3. Factor m(u).
-2*u*(u - 1)*(3*u + 1)/19
Let m(y) be the third derivative of 31*y**2 + 0 + 0*y - 2/3*y**3 - 13/24*y**4 - 13/120*y**5 + 1/48*y**6. Suppose m(c) = 0. What is c?
-1, -2/5, 4
Let q(x) be the third derivative of -x**6/40 + 9*x**5/20 - 54*x**3 + 117*x**2 - x. Determine i, given that q(i) = 0.
-3, 6
Factor 2*i + 6 + 1/2*i**3 - 7/2*i**2.
(i - 6)*(i - 2)*(i + 1)/2
Let a be 4/(-2) + (-680)/(-15). Let x = 44 - a. Factor 2/3*n**2 - x*n**3 + 0 + 0*n.
-2*n**2*(n - 1)/3
Let n be 1 - (3 + -11)/4. Suppose 0 = -5*y + i + 15, y + n*y - 2*i = 12. Factor 3*o - 15*o**y - 2*o**2 + 2 - o + 13*o**3.
-2*(o - 1)*(o + 1)**2
Let n(g) = 8*g**3 - 8*g**2 - 8*g + 4. Let p(x) = -7*x**3 + 8*x**2 + 7*x - 5. Suppose 0 = a + 3 - 7. Let m(d) = a*p(d) + 3*n(d). Factor m(v).
-4*(v - 2)*(v - 1)*(v + 1)
Let o(n) be the first derivative of 3*n**6/10 + 9*n**5/20 + n**4/4 + n**3/18 - 12*n - 10. Let g(t) be the first derivative of o(t). Let g(c) = 0. Calculate c.
-1/3, 0
Let n(v) be the second derivative of -7*v**5/5 + 11*v**4 - 64*v**3/3 - 24*v**2 + 74*v. Factor n(z).
-4*(z - 3)*(z - 2)*(7*z + 2)
Let d(o) = -o**3 + 2*o**2 + o + 3. Let u be d(0). Suppose 2*g**4 - 7*g**4 - 9*g**u + 7*g**3 = 0. Calculate g.
-2/5, 0
Let r(n) be the first derivative of -n**5/12 - 5*n**4/8 - 5*n**3/3 + 18*n**2 + 18. Let d(a) be the second derivative of r(a). Find w such that d(w) = 0.
-2, -1
Let a = 1/351 - -1033/7020. Let j(u) be the second derivative of -6*u**2 - a*u**5 - 4*u**3 - 5/4*u**4 - 4*u + 0. Find s such that j(s) = 0.
-2, -1
Let v = -901 + 1698. Factor -455*x + 240*x**2 + 5*x**3 + 20480 + v*x + 3498*x.
5*(x + 16)**3
Let y(u) be the second derivative of 35/6*u**3 - 12*u - 5/6*u**4 - 5*u**2 + 0 - 3/4*u**5. What is w in y(w) = 0?
-2, 1/3, 1
Let t = 841 + -838. Let w(f) be the first derivative of f**t + 1/2*f**4 + 1/2*f + 9 + 1/10*f**5 + f**2. Factor w(j).
(j + 1)**4/2
What is j in 2/3*j**2 + 8/3*j + 8/3 = 0?
-2
Let x(f) be the second derivative of 0 + 8*f - 1/54*f**4 + 1/9*f**3 - 2/9*f**2. Solve x(z) = 0 for z.
1, 2
Let z(s) = 0*s + 12 + 2 - 3*s + 3. Let b be z(5). Factor -1/2*c - 1/2*c**b + 1/2*c**3 + 1/2.
(c - 1)**2*(c + 1)/2
Factor 0 + 4/5*a**2 + 192/5*a.
4*a*(a + 48)/5
Suppose -42*k + 335 = 125. Solve 2/9 - 4/9*f**k + 4/9*f - 14/9*f**4 - 16/9*f**3 - 4/9*f**2 = 0 for f.
-1, 1/2
Let n(p) be the seco