rivative of q(x). Find m, given that a(m) = 0.
-4/5, 0
Let j = 19 + -16. Suppose -11 = -x - 6. Let 0*l + 2/5*l**x - 2/5*l**4 + 0*l**2 + 0*l**j + 0 = 0. What is l?
0, 1
Let f = -194 + 197. Suppose f*m + 14 = 26. Solve 0*y + 4/3*y**3 + 4/3*y**m + 0 + 0*y**2 - 8/3*y**5 = 0 for y.
-1/2, 0, 1
Let p(i) be the second derivative of -7/20*i**5 + 7/6*i**3 + 0 - i**2 + 1/6*i**4 + 7*i. Factor p(q).
-(q - 1)*(q + 1)*(7*q - 2)
Suppose 0 = -5*r + 5*o, -o = r + o. Factor g**3 + g**4 + r + 1/3*g**2 + 0*g + 1/3*g**5.
g**2*(g + 1)**3/3
Let n(m) be the second derivative of m**5/160 + m**4/6 + 29*m**3/48 + 7*m**2/8 + 173*m. Solve n(i) = 0 for i.
-14, -1
Factor 3/5*c**4 + 2/5*c**3 - 28/5*c - 5*c**2 + 12/5.
(c - 3)*(c + 2)**2*(3*c - 1)/5
Let v(k) be the first derivative of -k**3/12 + 3*k**2/8 - k/2 + 53. Factor v(u).
-(u - 2)*(u - 1)/4
Let q(t) be the third derivative of t**6/120 - t**4/2 + 5*t**3/2 - 16*t**2. Let n(j) be the first derivative of q(j). Factor n(i).
3*(i - 2)*(i + 2)
Factor -28/3*f - 16 - 2/3*f**2.
-2*(f + 2)*(f + 12)/3
Let j be (3 + 5 + 2)*(16/(-20) + 1). Suppose -1/3*z**3 + 2/3*z**j - 1/3*z + 0 = 0. Calculate z.
0, 1
Let c(o) = -81*o - 582. Let x(t) = t**2 + t + 2. Let w(m) = c(m) - 3*x(m). Let w(f) = 0. What is f?
-14
Let b(x) = -4*x + 36. Let f be b(8). Suppose i + f*m = -m + 5, -m = 2*i - 1. Factor i*y + 2/5 - 2/5*y**2.
-2*(y - 1)*(y + 1)/5
Let 0 + 8/3*n**2 + 16/3*n - 2/3*n**4 - 4/3*n**3 = 0. Calculate n.
-2, 0, 2
What is r in 2/15*r - 2/15*r**2 + 2/15 - 2/15*r**3 = 0?
-1, 1
Let y = 133829 - 25695305/192. Let s = -3/64 - y. Suppose -8*g + 4*g**2 + 16/3 - s*g**3 = 0. What is g?
2
Let k = -4703 - -211664/45. Let m = k + -4/9. Let m*v - 1/5*v**3 + 1/5*v**4 + 0 - 1/5*v**2 = 0. Calculate v.
-1, 0, 1
Let h = -7144 + 7146. Factor 3/2 + 7/4*a - 1/4*a**3 + 0*a**h.
-(a - 3)*(a + 1)*(a + 2)/4
Let k(r) be the second derivative of 0*r**2 + 1/24*r**4 - 5/6*r**3 + 0 + 19*r. Let k(y) = 0. What is y?
0, 10
Let f be 3*8/(-12) - 4. Let x(n) = -n**3 - 4*n**2 + 12*n + 3. Let m be x(f). Factor 3*i**3 - 4*i**4 - 4*i**3 + 12*i**2 + 4*i - 8*i**2 - 3*i**m.
-4*i*(i - 1)*(i + 1)**2
Let x(r) be the first derivative of -5*r**3/3 + 260*r**2 - 515*r - 434. Find m such that x(m) = 0.
1, 103
Let m(p) be the third derivative of -p**6/160 - p**5/80 + p**4/16 + 47*p**2. Factor m(l).
-3*l*(l - 1)*(l + 2)/4
Let z(s) be the third derivative of 1/150*s**6 + 2/15*s**4 + 0*s - 2*s**2 + 0 + 4/75*s**5 + 0*s**3. Let z(y) = 0. Calculate y.
-2, 0
Let q be ((-192)/30 - -7)/(2/5). Let u(c) be the first derivative of 6 - c**3 + 0*c - q*c**2. Factor u(l).
-3*l*(l + 1)
Suppose -29 - 31 = -5*m. Solve -16*g + 9 + 22*g**2 - 8*g**3 + 8*g**4 - m*g**4 + 5*g**4 - 8*g = 0.
1, 3
Let o(i) be the first derivative of 1/4*i**4 + 0*i + 1 + 1/3*i**3 - i**2. Suppose o(m) = 0. What is m?
-2, 0, 1
Let a(u) be the second derivative of -3*u**3 + 0 + 2*u**2 + 7/6*u**4 + 17*u. Factor a(z).
2*(z - 1)*(7*z - 2)
Suppose -5*v = -6*v + 4. Let o be 15/12*v + -2. Factor 0*x - 3/8*x**4 + 1/4*x**5 + 1/8*x**2 + 0*x**o + 0.
x**2*(x - 1)**2*(2*x + 1)/8
Let l(d) = 9*d**2 - 18*d**2 + 8*d**2 + 2*d**2. Let p(g) = -3*g**2 + 24*g - 32. Let w(a) = l(a) - p(a). Factor w(u).
4*(u - 4)*(u - 2)
Suppose -3 = -5*m + 4*m. Factor -2*t + 2*t**m + 8*t**2 - 4 + 12*t + 8.
2*(t + 1)**2*(t + 2)
Let z = -5 + 9. Let f be 2/6*0*14/84. Factor 0 + 4/7*i**3 - 2/7*i**z - 2/7*i**5 + f*i**2 + 0*i.
-2*i**3*(i - 1)*(i + 2)/7
Let x be (((-8)/6)/4)/(1/(-9)). Factor -x*s**3 - 5*s**2 - 2*s**3 + 5*s**4 - 35*s + 40*s.
5*s*(s - 1)**2*(s + 1)
Suppose 6*l - 10 = l. Suppose 2*u + l*u = -12. Let z(d) = d**2 + 2*d + 4. Let h(c) = c**2 + 2*c + 3. Let v(y) = u*z(y) + 4*h(y). Find f such that v(f) = 0.
-2, 0
Let b(i) be the first derivative of 2*i**5/45 - i**4/18 - 2*i**3/9 + i**2/9 + 4*i/9 - 125. Suppose b(u) = 0. What is u?
-1, 1, 2
Let h = -129 - -128. Let q be (h + (-147)/(-135))*3. Suppose -2/15*g**2 - q - 2/5*g = 0. Calculate g.
-2, -1
Let i be (2*2/4)/((-38)/(-114)). Suppose i*w + 1 = 13. Factor 0*u**2 + 4/9*u**3 + 2/9*u**5 + 2/3*u**w + 0*u + 0.
2*u**3*(u + 1)*(u + 2)/9
Suppose -8/3 - 32/3*q - 50/3*q**2 - 14/3*q**4 - 38/3*q**3 - 2/3*q**5 = 0. Calculate q.
-2, -1
Let v(k) = 2*k**3 + 2*k**2 - 1. Let h be v(1). Let n = 2997 - 8959/3. Let -2/3*m**4 + 16/3*m**2 + 2/3*m**5 - 16/3*m**h - n + 32/3*m = 0. What is m?
-2, 1, 2
Let k(v) = -20*v - 20. Let u(o) = o**2 + 2*o + 1. Let h(a) = k(a) - 5*u(a). Factor h(i).
-5*(i + 1)*(i + 5)
Suppose -2/9*z**4 + 4/9*z - 10/9*z**2 + 0 + 8/9*z**3 = 0. Calculate z.
0, 1, 2
Let t(r) = r**2 - 9*r - 16. Let q be t(11). Let u be (-2 + 0)*q/(-4). Suppose -u*o**5 - o**5 + o**5 = 0. What is o?
0
Let u(g) be the second derivative of -1/90*g**5 + 8*g - 4/27*g**4 + 0 - 16/27*g**3 + 0*g**2. Let u(d) = 0. Calculate d.
-4, 0
Let y(h) be the second derivative of h**4/12 - h**3/6 - 11*h. Let g(n) = 5*n**2 - n. Let i(f) = g(f) - y(f). Factor i(l).
4*l**2
Let m(c) be the first derivative of c**5/360 - 5*c**4/72 + 25*c**3/36 + 7*c**2 - 8. Let h(f) be the second derivative of m(f). Factor h(i).
(i - 5)**2/6
Let x(v) be the third derivative of 17/72*v**4 + 1/630*v**7 + 0 + 28*v**2 + 0*v + 1/120*v**6 - 1/12*v**5 - 1/3*v**3. Suppose x(r) = 0. What is r?
-6, 1
Let k(x) be the third derivative of -x**6/720 - x**5/240 + x**4/24 - 3*x**3/2 + 4*x**2. Let p(c) be the first derivative of k(c). Let p(r) = 0. What is r?
-2, 1
Let c(y) be the second derivative of -y**6/18 - 17*y**5/12 + 5*y**4/36 + 85*y**3/18 + 5*y. Suppose c(r) = 0. Calculate r.
-17, -1, 0, 1
Suppose -3*z + 15 = -6*z, 3*z = -2*q + 41. Let d be (-3)/(-2 - q)*4. Factor 0*l**3 + 0*l + d*l**4 - 2/5*l**5 + 0*l**2 + 0.
-2*l**4*(l - 1)/5
Suppose t - 19 = -11. Let j = t + -4. Factor p**5 - 5*p**5 + j*p**3 + 2*p**5 - 2*p + 0*p.
-2*p*(p - 1)**2*(p + 1)**2
Let o(q) be the first derivative of -q**4/18 + 32*q**3/9 - 31*q**2/3 + 92*q/9 + 382. What is b in o(b) = 0?
1, 46
Let d(x) be the third derivative of x**9/15120 + x**8/1260 + x**7/252 + x**6/90 + 13*x**5/60 - 14*x**2. Let t(b) be the third derivative of d(b). Factor t(l).
4*(l + 1)**2*(l + 2)
Suppose -51*y - 34 = -68*y. Suppose -8 = o - 3*o. Determine b, given that -b**3 + 15*b**4 + 0*b**o - y*b**2 - 7*b**4 - 5*b**5 = 0.
-2/5, 0, 1
Let q(b) be the second derivative of -1/360*b**5 + 0 - 3*b + 4*b**2 + 0*b**3 - 1/144*b**4. Let l(p) be the first derivative of q(p). Let l(i) = 0. Calculate i.
-1, 0
Let m = 0 + 2. Suppose -4*z = -4*q - q, m*q = -3*z. Factor 1 - r - 1 + z + r**3.
r*(r - 1)*(r + 1)
Suppose -2*g + 478 = 4*z - 3*g, 0 = -3*z - 2*g + 353. Let m = z - 473/4. Determine b, given that 3/4*b**2 + 0 - 3/4*b**3 + m*b - 3/4*b**4 = 0.
-1, 0, 1
Determine q, given that 43*q**2 - 25*q**4 + q - 11*q**4 - 8*q**2 - 6*q**2 - 18*q**2 + 24*q**3 = 0.
-1/6, 0, 1
Suppose 0 = -35*p + 38*p - 9. Let c(y) be the third derivative of 0*y - 2*y**2 + 4/15*y**5 + 0*y**p + 0 + 2/105*y**7 + 2/15*y**6 + 0*y**4. Factor c(s).
4*s**2*(s + 2)**2
Let t(d) = d**2 + d + 1. Let n(f) = -5*f**4 - 120*f**3 - 594*f**2 + 1556*f - 849. Let a(p) = -n(p) - 4*t(p). Solve a(j) = 0.
-13, 1
Factor 42/5 + 8/5*k - 2/5*k**2.
-2*(k - 7)*(k + 3)/5
Let o(v) be the first derivative of v**6/180 + v**5/30 + 8*v**3 + 6. Let h(b) be the third derivative of o(b). Suppose h(d) = 0. What is d?
-2, 0
Let n be -8 - -15 - (-1 + -1). Suppose 4*k = k + n. Factor 5*c + 3*c**4 + 4*c**2 - 5*c**4 - 3*c - k + 2*c**5 + 1 - 4*c**3.
2*(c - 1)**3*(c + 1)**2
Let a = 17038 + -17034. Suppose -4/3*l**5 + 0 - 4*l**3 + 16/3*l**a + 0*l**2 + 0*l = 0. What is l?
0, 1, 3
Let l(w) be the third derivative of w**6/40 - 3*w**5/20 - w**4/8 + 3*w**3/2 + 67*w**2. Factor l(g).
3*(g - 3)*(g - 1)*(g + 1)
Let p = 1524/5 - 304. Let t be ((-1)/(-15))/(3/18). What is o in -6/5*o - t*o**2 - p = 0?
-2, -1
Let m(k) = -22*k**4 + 22*k**3 - 10*k**2 - 6*k. Suppose 6*p - 17 = -113. Let t(l) = 7*l**4 - 7*l**3 + 3*l**2 + 2*l. Let i(c) = p*t(c) - 5*m(c). Factor i(b).
-2*b*(b - 1)**2*(b + 1)
Let r(q) = -58*q**3 + 108*q**2 + 40*q + 24. Let c(z) = -23*z**3 + 43*z**2 + 16*z + 10. Let s(f) = 12*c(f) - 5*r(f). Determine o so that s(o) = 0.
-2/7, 0, 2
Let c be 62/10 + (-4)/20. Suppose -c = -a - a. What is d in -17*d + 15*d + 5*d**2 - a*d**2 = 0?
0, 1
Let y(p) be the second derivative of -p**6/360 - p**5/90 - p**4/72 - 9*p**2/2 - 12*p. Let f(g) be the first derivative of y(g). 