 o be (g - 266/(-77)) + -6. What is l in -2/11*l**3 + 12/11*l**2 + o - 24/11*l = 0?
2
Let l = -398614 - -398616. Factor 4/3*s**l + 24*s + 108.
4*(s + 9)**2/3
Let z(m) = -10*m**5 - 29*m**4 - 385*m**3 - 485*m**2 - 151*m + 2. Let u(a) = 4*a**5 - 13*a**4 - a - 1. Let s(j) = -6*u(j) - 3*z(j). Determine d so that s(d) = 0.
-17, -9, -1, -1/2, 0
Let a(z) be the first derivative of -z**3/12 - 2665*z**2/4 - 7102225*z/4 - 14650. Factor a(m).
-(m + 2665)**2/4
Factor 14256/7*r + 726/7*r**2 + 69984/7.
6*(11*r + 108)**2/7
Let s(t) = -24 - 50*t + 5*t - 7*t + 14*t - 4*t**2 - 34*t. Let f(v) = 15*v**2 + 290*v + 97. Let c(r) = -2*f(r) - 9*s(r). Find z such that c(z) = 0.
-11, -1/3
Let a(r) = -r**2 - 4*r + 10. Let z = 29 - 34. Let g be a(z). Find k, given that -6*k**5 - 15*k**2 + 15*k**4 + 10*k - 12*k**3 - 3*k**5 + 4*k**g + 7*k**3 = 0.
-1, 0, 1, 2
Let j(v) = -v**3 - 12*v**2 + 16*v + 42. Let f be j(-13). Let -10*d**f - 19*d - 6*d**3 - 5 - d**4 + 7*d**3 - 26*d**2 + d**5 - 5*d**3 = 0. Calculate d.
-1, 5
Let r(f) = -27*f**2 + 161*f - 2. Let q be r(6). Let l be (-15)/10*q/6. Factor -3*w**l - 9/2*w**3 + 3 + 9/2*w.
-3*(w - 1)*(w + 1)*(3*w + 2)/2
Let x(l) be the first derivative of -2*l**3/21 + 22*l**2/7 + 150*l/7 - 1784. Factor x(z).
-2*(z - 25)*(z + 3)/7
Let z(i) be the third derivative of i**8/1344 + i**7/168 - 25*i**4/8 + 25*i**2 - 2*i. Let f(h) be the second derivative of z(h). Factor f(p).
5*p**2*(p + 3)
Let i(s) be the second derivative of s**7/14 + 17*s**6/10 + 27*s**5/10 - 47*s**4 - 44*s**3 + 720*s**2 + 131*s - 7. What is u in i(u) = 0?
-15, -4, -2, 2
Let k(j) be the second derivative of -7*j**5/20 + 253*j**4/6 - 1864*j**3/3 + 512*j**2 + 1085*j. Factor k(z).
-(z - 64)*(z - 8)*(7*z - 2)
Let t = 32060 - 32058. Factor 6/5*f - 18/5 + 2/5*f**3 + 2*f**t.
2*(f - 1)*(f + 3)**2/5
Let x be 0/(1/(2 + -3)). Suppose 6*j - j = -4*d + 60, x = 3*j + 2*d - 34. Solve 31 - 10*c - 20*c + j*c**2 - 39 = 0.
-1/4, 4
Let g = 52703/10 + -5270. Let z(a) be the third derivative of 0*a + 1/70*a**7 - 20*a**2 + 0*a**3 + 0 + 0*a**4 + g*a**5 + 1/8*a**6. Factor z(t).
3*t**2*(t + 2)*(t + 3)
Let k(n) be the third derivative of n**8/112 - n**7/14 - n**6/40 + 41*n**5/20 - 9*n**4 + 18*n**3 - 16*n**2 - 52. Suppose k(p) = 0. Calculate p.
-3, 1, 2, 3
Determine o so that 2304589*o**3 - 1152359*o**3 + 108*o - 204 + 3*o**4 + 201*o**2 - 1152338*o**3 = 0.
-1, 1, 2, 34
Let v(q) = -2*q**2 + 74*q - 800. Let r(j) = -9*j**2 + 165*j + 272*j - 69*j - 4000 - j**2. Let o(u) = -3*r(u) + 16*v(u). Factor o(d).
-2*(d - 20)**2
Let a be (-10)/(-6)*14 - (-1264 - -1287). Factor 0*x**2 + 0*x**3 + 0*x - a*x**5 + 0 - 19/3*x**4.
-x**4*(x + 19)/3
Let g = 60 - 26. Let z = g - 29. Suppose -1/2*y**4 + 5/2*y**3 - y + 0 - 3/2*y**z + 1/2*y**2 = 0. What is y?
-1, 0, 2/3, 1
Suppose 9100 = -32*y + 42*y. Let q = -908 + y. Let -1/3*x + 2/9*x**3 + 1/3*x**q - 2/9 = 0. What is x?
-2, -1/2, 1
Suppose 650*b**2 - 542*b - 5*b**4 + 1275 + 935*b + 1249*b + 40*b**3 + 238*b = 0. Calculate b.
-5, -3, -1, 17
Let n(i) be the first derivative of -i**5/15 - 13*i**4/3 - 338*i**3/3 + 19*i**2 + 57. Let l(d) be the second derivative of n(d). Let l(b) = 0. What is b?
-13
Let c(m) be the first derivative of m**4/4 + 22*m**3 - 69*m**2/2 - 134*m - 4720. Factor c(g).
(g - 2)*(g + 1)*(g + 67)
Let n(h) be the second derivative of -6 + 2/3*h**2 + 1/120*h**5 - 4*h + 7/72*h**4 + 7/18*h**3. Determine v so that n(v) = 0.
-4, -2, -1
Suppose 162/5 + 16/5*f**4 + 198/5*f - 42/5*f**2 - 62/5*f**3 = 0. What is f?
-9/8, -1, 3
Suppose -f - 4 = -3*a, 3*f - 3*a - 11 = -17. Let o(r) = 4*r**3 - 4*r. Let m(v) = -3*v**2 + 2*v**3 + 2*v**2 - v**3. Let k(i) = f*o(i) + 5*m(i). Factor k(c).
c*(c - 4)*(c - 1)
Let n(g) be the first derivative of 5 + 6*g - 11/12*g**3 - g**2 - 7/24*g**4. Let o(a) be the first derivative of n(a). Solve o(q) = 0 for q.
-1, -4/7
Let z(w) = -w**3 + 12*w**2 - 27*w + 22. Let h be z(9). Let k be (-8)/h - (1 + -9 + 6). Factor 6/11*d**5 + 0 + k*d**2 + 30/11*d**3 + 2*d**4 + 4/11*d.
2*d*(d + 1)**3*(3*d + 2)/11
Factor -108/7*i**2 + 120/7*i - 32/7 + 20/7*i**3.
4*(i - 4)*(i - 1)*(5*i - 2)/7
Find b, given that 7005/4*b + 876 + 1749/2*b**2 - 3/4*b**3 = 0.
-1, 1168
Factor -38/3*v**3 + 0 + 2/3*v**4 - 28*v**2 + 0*v.
2*v**2*(v - 21)*(v + 2)/3
Suppose 1295*z = 2324 + 266. Find n, given that -10/3*n**3 - 6*n + 8*n**z + 4/3 = 0.
2/5, 1
Let i(k) be the second derivative of 2 + 175/6*k**3 - 115/12*k**4 - 3/4*k**5 - 45/2*k**2 + 20*k. Factor i(g).
-5*(g - 1)*(g + 9)*(3*g - 1)
Let h be (356/90 + -4)/(444/(-1998)). Let 8/5*n**3 - 3*n**2 - h*n**4 + 4 - 4/5*n = 0. Calculate n.
-1, 2, 5
Let k = 1/202 - 1769/303. Let x = k - -13/2. Suppose x + 1/3*a - 1/3*a**2 = 0. What is a?
-1, 2
Let h = -30787/2 + 15989. Let q = -591 + h. Find l, given that -q*l**3 - 7/2*l**2 + 0 + l = 0.
-1, 0, 2/9
Let a(y) = 142*y**2 + 1858*y - 434. Let l(z) = -47*z**2 - 620*z + 136. Let r(n) = 2*a(n) + 7*l(n). Factor r(j).
-3*(j + 14)*(15*j - 2)
Let n(x) be the third derivative of -x**5/140 - 1221*x**4/28 - 1490841*x**3/14 + 4*x**2 + 4*x + 69. Determine h, given that n(h) = 0.
-1221
Let a(h) = 2*h + 16. Let v(f) = -2*f - 17. Let l(q) = -4*a(q) - 3*v(q). Let b be l(-7). Determine c so that b + 796*c**2 - 795*c**2 - 3 - c = 0.
-1, 2
Let z(p) be the third derivative of -p**6/660 - p**5/11 - 19*p**4/44 + 2888*p**3/33 - 9680*p**2. Factor z(k).
-2*(k - 8)*(k + 19)**2/11
Let g(p) be the first derivative of 86 + 2/21*p**3 - p**2 + 0*p. Find z, given that g(z) = 0.
0, 7
Suppose 1/4*l**3 - 32 + 26*l + 23/4*l**2 = 0. Calculate l.
-16, -8, 1
Let v = 369 + -155. Factor 3*j**3 + 202 + 0*j**3 - 18*j**2 + 27*j - v.
3*(j - 4)*(j - 1)**2
Factor 4/3*k**2 + 44/3*k + 24.
4*(k + 2)*(k + 9)/3
Let o(h) be the second derivative of 11*h**7/84 - 3*h**6/20 - 79*h**5/40 - h**4/8 + 17*h**3/3 + 3*h**2 - 28*h + 11. Determine p, given that o(p) = 0.
-2, -1, -2/11, 1, 3
Suppose 25 = 2*l - m, l = -0*l - 5*m + 7. Suppose 3*u = i - 16, -5*i = -3*i + 4*u - l. Factor -r**3 + 4*r**3 + i*r**2 + 12*r**3.
5*r**2*(3*r + 2)
Solve 468/7*u**3 + 216/7*u**4 - 3240/7*u**2 + 2*u**5 + 0 - 1458/7*u = 0.
-9, -3/7, 0, 3
Suppose -2*o = -5*r + 4, 5*r + 2 = -0*r + 4*o. Factor 66*k + 28 + 2*k**3 + 36*k**2 - 53*k**2 + 4 + 53*k**r.
2*(k + 1)**2*(k + 16)
Let i be 1/7*(4 + -1). Let f = 3/84745 + 1016919/593215. Find g such that -15/7 + f*g + i*g**2 = 0.
-5, 1
Suppose -184 = -54*t - 76. Let p(i) be the third derivative of -3/2*i**3 + 0*i - 5/12*i**5 + 5/4*i**4 + 16*i**t + 0. Determine y, given that p(y) = 0.
3/5
Let w(h) be the first derivative of -21/5*h**5 + 0*h - 1/2*h**6 - 119 - 45/4*h**4 - 13*h**3 - 6*h**2. Factor w(v).
-3*v*(v + 1)**3*(v + 4)
Let w(g) be the second derivative of g**5/20 - 8*g**4/3 - 149*g**3/6 + 90*g**2 - 913*g - 6. Factor w(k).
(k - 36)*(k - 1)*(k + 5)
Let p(f) be the second derivative of -f**6/15 - 13*f**5/10 + 109*f**4/6 - 107*f**3/3 - 228*f**2 + 1506*f. Determine z, given that p(z) = 0.
-19, -1, 3, 4
Suppose 0 = -98*s + 100*s - 6. Find b, given that 16*b + 8 + 17*b + b**2 + s*b**2 = 0.
-8, -1/4
Let w(x) be the third derivative of 1/30*x**6 - 1/10*x**5 + 0 + 0*x**3 - x + 63*x**2 + 1/12*x**4. Suppose w(k) = 0. Calculate k.
0, 1/2, 1
Suppose -2*h = 5*i - 25, 23*i + 19 = 26*i + 2*h. Determine a so that 91*a**i - 504*a + 12 + 144*a**2 + 3162 - 94*a**3 - 1359*a = 0.
2, 23
Let p be 1/5 - (-58)/(-1015). Let h = -31 - -226/7. Suppose h - 6/7*z + p*z**2 = 0. Calculate z.
3
Let m(k) be the first derivative of 0*k + 1/5*k**3 + 33/10*k**2 + 44. Factor m(p).
3*p*(p + 11)/5
Suppose -30*u + 10*u = 34*u - 486. Let z(y) be the third derivative of 0 - 5/6*y**4 + 25/4*y**6 - 35/12*y**5 + 5/6*y**3 + 0*y - u*y**2. Solve z(f) = 0.
-1/6, 1/5
Let -2/9*u**2 - 202/9*u + 208/3 = 0. What is u?
-104, 3
Let h = -340941 - -340941. Factor -3/8*y**5 + h - 15/8*y**3 + 3*y**4 - 75/4*y**2 + 0*y.
-3*y**2*(y - 5)**2*(y + 2)/8
Let o(m) be the first derivative of -m**6/2340 - m**5/130 - 3*m**4/52 - 37*m**3/3 - 20. Let q(a) be the third derivative of o(a). Factor q(s).
-2*(s + 3)**2/13
Let r = 990913/2 - 495456. Factor -1/2 + 0*y + r*y**2.
(y - 1)*(y + 1)/2
Let z(p) = -p**2 + 50*p + 111. Let j(k) = 5*k + 17*k + 40*k - 12*k + 110. Let w(h) = 6*j(h) - 5*z(h). Find g such that w(g) = 0.
-7, -3
Let g(w) be the third derivative of 300*w**2 - 1 + 0*w - 1/84*w**4 - 5/14*w**3 + 1/420*w**5. Factor g(n).
