 that o(k) = 0.
-1, 0, 2
Let j be -15*(-5)/(25/12). Let g be 1/(-3*(-4)/j). Suppose -16*a**4 + g*a**2 - 3*a**3 + 4*a**3 - 3*a + 13*a**4 + 2*a**3 = 0. Calculate a.
-1, 0, 1
Let s(o) be the first derivative of -4*o**3/3 + 182*o**2 + 245. Factor s(n).
-4*n*(n - 91)
Let b(p) be the first derivative of -3*p**2 + 14 - 2/3*p**3 - 4*p. Find k, given that b(k) = 0.
-2, -1
Let y(q) = q**3 - 13*q**2 + 28*q - 24. Let w(v) = -2*v**3 + 27*v**2 - 56*v + 48. Let m(k) = -6*w(k) - 14*y(k). Suppose m(b) = 0. Calculate b.
2, 6
Let f be 198/(-792) + (-2)/(-8) + 0. Let t(r) be the second derivative of -4*r + 0 + 1/5*r**5 + 4/3*r**3 - r**4 + f*r**2. Factor t(k).
4*k*(k - 2)*(k - 1)
Let y(c) be the first derivative of -c**4/2 - 254*c**3/3 - 251*c**2 - 250*c + 429. Factor y(q).
-2*(q + 1)**2*(q + 125)
Let g be 7/((-126)/(-360)) + -16. Factor 10/11*z**g + 16/11*z - 8/11*z**2 - 12/11*z**3 + 0 - 2/11*z**5.
-2*z*(z - 2)**3*(z + 1)/11
Let z = 5968 - 5965. Find i such that -69/7*i + z*i**2 + 18/7 = 0.
2/7, 3
Let h = -3040 - -3042. Let w(y) be the second derivative of y + 0*y**h + 1/90*y**4 - 2/45*y**3 + 0. Factor w(z).
2*z*(z - 2)/15
Factor 10 - 22 - 3*b**2 + 421*b - 349*b - 57.
-3*(b - 23)*(b - 1)
Let n(s) = -9*s**3 - 180*s**2 - 1738*s + 6902. Let p(f) = -f**3 - 2*f - 2. Let k(u) = -n(u) + 5*p(u). Factor k(z).
4*(z - 3)*(z + 24)**2
Let f = -6719381/15 - -447316. Let y = 643 + f. Find p such that y*p - 2/15*p**3 + 2/15*p**2 + 0 = 0.
-1, 0, 2
Determine q so that -4 + 47/3*q**2 + 20/3*q - q**5 - 11/3*q**4 + 7/3*q**3 = 0.
-3, -2, -1, 1/3, 2
Let 8/5 + 10*i**2 + 38/5*i**3 + 32/5*i + 14/5*i**4 + 2/5*i**5 = 0. Calculate i.
-2, -1
Let f = -134 + 176. Let b be ((-4)/3)/((-6)/9). Determine r so that -2*r**b - 42 + f = 0.
0
Let t be (1 + 0 - -4) + (-7 - 320/(-130)). Factor 4/13*s**2 - 4/13 + t*s**3 - 6/13*s.
2*(s - 1)*(s + 1)*(3*s + 2)/13
Let k = -51/106 - -155/212. Let -1/4*r**2 - k*r**5 + 1/4*r**3 + 1/4*r**4 + 0*r + 0 = 0. What is r?
-1, 0, 1
Let u(p) be the second derivative of -p**5/20 + p**4/2 - 3*p**3/2 + 2*p**2 - 28*p + 1. Factor u(v).
-(v - 4)*(v - 1)**2
Let g(i) be the first derivative of 1/16*i**4 + 0*i**2 - 1/40*i**5 + 0*i - 9 + 0*i**3 - 1/16*i**6. Suppose g(l) = 0. What is l?
-1, 0, 2/3
Determine c so that 0*c**3 + 5*c**3 + 26910*c**2 + 196520 + 17340*c - 26400*c**2 = 0.
-34
Let s be 16/7 + 2 + -4. Let g be (-3)/(3/2*3/(-3)). Factor 0 + 2/7*n**3 - 2/7*n**g - s*n**5 + 2/7*n**4 + 0*n.
-2*n**2*(n - 1)**2*(n + 1)/7
Let i(r) be the first derivative of r**4/2 - 56*r**3/3 + 221*r**2 - 676*r + 201. Find v, given that i(v) = 0.
2, 13
Let s be (13/(-52))/(1*(-1)/12). Let c be (-4)/35*(-1 + -4). Factor -4/7*u**s - c*u + 6/7*u**2 + 1/7 + 1/7*u**4.
(u - 1)**4/7
Let z(h) = h - 1. Let o be z(-1). Let c be (4 - -3 - 4) + o. Determine r, given that 12*r**2 + c + 227*r**3 - 255*r**3 + 16*r**4 - 1 = 0.
0, 3/4, 1
Let i(t) be the third derivative of 0 - 1/90*t**5 - 1/60*t**6 - 1/504*t**8 + 0*t**3 + 32*t**2 - 1/105*t**7 + 0*t**4 + 0*t. Factor i(g).
-2*g**2*(g + 1)**3/3
Suppose -3*a - 2*h + 8 = 0, -8 = -3*a - a - 4*h. Let b(i) = i**3 - 6*i**2 + i - 6. Let u be b(6). Factor 0*n**2 - 9*n**2 + 3*n + u*n + 9 + 3*n**a - 3*n**3 - 3.
3*(n - 2)*(n - 1)*(n + 1)**2
Let a(q) be the second derivative of -10*q**3 + 73/8*q**4 + 483/40*q**5 - 77/20*q**6 + 3*q**2 + 0 - 11*q - 121/28*q**7. Solve a(r) = 0 for r.
-1, 2/11, 1
Let n(w) be the third derivative of -w**5/180 - w**4/36 + 5*w**3/6 - 34*w**2 - 1. What is m in n(m) = 0?
-5, 3
Let v be 12/(-15)*(-15)/3. Factor -5*l - v*l + 4*l**3 + 8 - 3*l.
4*(l - 1)**2*(l + 2)
Let q be 0/(2 - 6/(-3)*-2). Let f(r) be the third derivative of 0*r + 0*r**3 + 0*r**4 + q - 1/10*r**5 + 1/40*r**6 + 2*r**2. Let f(m) = 0. What is m?
0, 2
Let p(u) be the second derivative of 0 + 0*u**2 + 0*u**5 + 2/39*u**3 + 1/26*u**4 - 1/195*u**6 - 32*u. Factor p(c).
-2*c*(c - 2)*(c + 1)**2/13
Let l(v) = 6*v - 64. Let q be l(11). Suppose q*i - 3*i = -3*i. Find z such that 1/2*z**2 + 0 + i*z = 0.
0
Let a(u) = 371*u + 1857. Let g be a(-5). Let -3/4*x**5 + 6*x - 15/4*x**4 - 21/4*x**3 + 3 + 3/4*x**g = 0. What is x?
-2, -1, 1
Let y(d) = -112*d**2 - 1562*d - 1458. Let z(o) = -o**3 + 337*o**2 + 4684*o + 4374. Let x(k) = 14*y(k) + 4*z(k). Solve x(v) = 0 for v.
-27, -1
Let d(l) be the third derivative of l**6/60 - 6*l**5/5 + 27*l**4 - 14*l**2 + 6*l. Factor d(j).
2*j*(j - 18)**2
Let c be -7 - (3 + -1 + -3). Let u = c + 8. Factor 11 + 3*j**3 + 15*j + 5 - 22 - 12*j**u.
3*(j - 2)*(j - 1)**2
Let k be (-32)/(-18)*(-6)/4*380/(-80). Find s, given that 8/3*s**2 - k*s - 10/3 = 0.
-1/4, 5
Let b(n) be the first derivative of -n**7/945 + n**6/540 + n**5/270 - n**4/108 + 11*n**2/2 + 5. Let t(u) be the second derivative of b(u). Factor t(v).
-2*v*(v - 1)**2*(v + 1)/9
Let k be ((90/25)/(-6))/((-1)/5). Let g be 10/30 + (-1)/k. Factor -2/5*i**2 + g + 0*i - 2/5*i**3.
-2*i**2*(i + 1)/5
Suppose 3*p + 12 = 0, 3*p + 34 = -2*q - 0*p. Let o = q - -11. Factor -2/7*m**2 + 0*m + 4/7*m**3 - 2/7*m**4 + o.
-2*m**2*(m - 1)**2/7
Let b(o) = -o - 9. Let u be b(-11). Factor 38*x**4 - 6*x**2 - 4*x**3 + 14*x**u - 42*x**4.
-4*x**2*(x - 1)*(x + 2)
Determine s so that 1/2*s**3 + 0 + 0*s + s**2 = 0.
-2, 0
Let j(b) = 5*b**4 - 60*b**3 + 335*b**2 - 435*b + 170. Let l(u) = 7*u**4 - 58*u**3 + 335*u**2 - 434*u + 168. Let a(o) = 6*j(o) - 5*l(o). What is x in a(x) = 0?
-18, 1, 2
Let q = 7/65 + -851/6695. Let x = 313/206 + q. Factor 0 - x*n - 6*n**2.
-3*n*(4*n + 1)/2
Let p(g) be the third derivative of g**10/378000 + g**9/75600 - g**5/15 + 10*g**2. Let u(o) be the third derivative of p(o). Find f, given that u(f) = 0.
-2, 0
Let y(v) be the first derivative of v**6/2 + 3*v**5/5 - 15*v**4/4 - 5*v**3 + 6*v**2 + 12*v + 45. What is q in y(q) = 0?
-2, -1, 1, 2
Let z(b) be the first derivative of 0*b**3 + 5 + 3/20*b**5 + 0*b**2 + 0*b + 3/8*b**4. Factor z(h).
3*h**3*(h + 2)/4
Let 29*k**2 - 10*k**2 + k**5 - 9*k**3 + 3*k**4 - 13*k**2 - k**2 = 0. What is k?
-5, 0, 1
Suppose -x - 2*c + 14 = 0, 4*x - 1 = c + 2*c. Factor -2*a**2 - 5*a**4 + 3*a**x - 6*a**3 - a**2 - a**4.
-3*a**2*(a + 1)**2
Let l = -224 + 3362/15. Suppose -5*r - 6*r + 44 = 0. Solve 4/15*x**3 - 4/15*x**2 - 2/15*x**5 + 2/15 + l*x**r - 2/15*x = 0.
-1, 1
Let y(g) be the first derivative of -g**3/33 + 3*g**2/22 - 41. Solve y(j) = 0.
0, 3
Let f(z) be the first derivative of z**7/280 - z**6/180 - 10*z**3 + 9. Let t(n) be the third derivative of f(n). Let t(w) = 0. What is w?
0, 2/3
Let v = -244 + 244. Let u(r) be the first derivative of 0*r - 4/3*r**3 - 4 + v*r**2 + 1/2*r**4. Let u(o) = 0. What is o?
0, 2
Let y(f) be the second derivative of f**9/5040 + 3*f**8/1120 + f**7/70 + f**6/30 - 3*f**4/4 - 16*f. Let a(q) be the third derivative of y(q). Factor a(k).
3*k*(k + 2)**3
Let h(l) be the third derivative of -l**6/10 + 21*l**5/20 + 19*l**4/8 - 3*l**3 + 46*l**2. Factor h(u).
-3*(u - 6)*(u + 1)*(4*u - 1)
Let u(i) be the first derivative of 6*i**5/5 - i**4 - 14*i**3/3 - 2*i**2 - 2. Factor u(m).
2*m*(m - 2)*(m + 1)*(3*m + 1)
Suppose -18*o = -16*o - 48. Let c be (-2)/(-220)*5*o. What is b in -18/11 + c*b - 2/11*b**2 = 0?
3
Let x(w) be the second derivative of w**5/60 - 5*w**4/12 + 6*w**2 - 15*w. Let t(d) be the first derivative of x(d). Factor t(y).
y*(y - 10)
Let o(n) = -2*n - 5. Suppose x - 2*x = 4. Let i be o(x). Factor 5*h**i + 3 + h**3 - 6*h + 65*h**4 - 68*h**4.
-3*(h - 1)**3*(h + 1)
Suppose -k + 40 = 34. Determine f so that 41*f**5 - 2*f**5 - 307*f**2 - 39*f**3 + 301*f**2 + k*f**4 = 0.
-1, -2/13, 0, 1
Let r(i) be the third derivative of -i**5/72 - 35*i**4/72 - 2*i**2 - 88. Factor r(t).
-5*t*(t + 14)/6
Let w(p) be the second derivative of p**6/180 + p**5/270 + 22*p**2 - 48*p. Let g(v) be the first derivative of w(v). Factor g(c).
2*c**2*(3*c + 1)/9
Let u(f) = 10*f**3 - 2 + 7*f**3 + 7*f - 10*f**2 - 12*f**3. Let o(p) = -60*p**3 + 120*p**2 - 85*p + 25. Let q(c) = -2*o(c) - 25*u(c). Solve q(x) = 0 for x.
0, 1
Let m be (6/9)/(3/9). Let p = -1273 + 6367/5. Factor 1/5*t - p + 11/5*t**2 - m*t**3.
-(t - 1)*(2*t - 1)*(5*t + 2)/5
Determine m so that -168 - 44*m - 538*m**2 + 208*m + 542*m**2 = 0.
-42, 1
Let y = 1145/2 - 12589/22. Let r(l) be the first derivative of -1/22*l**4 - y*l**2 + 2/11*l**3 + 2/11*l + 5. Factor r(q).
-2*(q - 1)**3/11
Let m(a) be the first derivative of 3/5*a + 9 + 3/5*a**2 + 1/5*a**3. Factor m(h).
3