 5*i(t) + s(t). Let f(n) = 0. Calculate n.
-1, -3/11
Let f(n) = 22*n - 85. Let o be f(10). Factor -o*u + 129*u + 0*u**2 - 15*u**3 - u**2 - 20*u**2.
-3*u*(u + 1)*(5*u + 2)
Find r, given that -87/2*r + 3/2*r**3 + 1/2*r**4 - 19/2*r**2 - 45 = 0.
-3, -2, 5
Let r(p) be the first derivative of p**5/25 - p**4 + 62*p**3/15 + 94*p**2/5 + 21*p + 6855. Factor r(a).
(a - 15)*(a - 7)*(a + 1)**2/5
Let u = 267 + 221. Let m = -488 + u. Factor 0 + m*n - 24*n**3 + 21/2*n**4 + 6*n**2.
3*n**2*(n - 2)*(7*n - 2)/2
Let p(s) be the first derivative of -2*s**3/3 - 1043*s**2 - 2084*s + 3962. Let p(v) = 0. Calculate v.
-1042, -1
Let x be (((-9936)/161)/(-27))/(130/91). Factor 6/5*p**3 + x*p + 1/5*p**4 + 0 + 12/5*p**2.
p*(p + 2)**3/5
Let y be 0/(10/35*7). Let q(z) be the second derivative of -1/6*z**6 + y*z**3 + z - 5/2*z**2 + 5/6*z**4 + 0*z**5 + 0. Suppose q(b) = 0. What is b?
-1, 1
Let v(a) be the third derivative of -a**7/945 + a**6/36 + 11*a**5/54 - 5*a**4/36 - 2*a**3 - 2*a**2 + 3*a + 58. Let v(u) = 0. Calculate u.
-3, -1, 1, 18
Let u(p) be the first derivative of -p**7/1400 - p**6/100 + 4*p**4/5 - 28*p**3/3 + p**2 - 8. Let y(m) be the third derivative of u(m). Factor y(n).
-3*(n - 2)*(n + 4)**2/5
Suppose 0 = 2*v - 5*o - 21, -2 = -4*o - 14. Suppose 5*k + d = -v*d - 8, -3*k + 5*d + 10 = 0. Factor 0*i - 6/5*i**2 - 2/5*i**3 + k.
-2*i**2*(i + 3)/5
Let m(w) be the first derivative of -w**3/9 - 279*w**2 - 233523*w + 3242. Factor m(x).
-(x + 837)**2/3
Let a = 42080 + -42078. Find g such that 27/5*g**a - 5*g - 2/5 = 0.
-2/27, 1
Let b(t) be the first derivative of -t**4/12 - t**3/16 + 152*t + 32. Let f(r) be the first derivative of b(r). Suppose f(x) = 0. Calculate x.
-3/8, 0
Find v such that 1025590*v**2 + 260795*v**3 + 1605*v**4 + 5/2*v**5 + 508805 + 2550405/2*v = 0.
-319, -2, -1
Let k(p) = -2*p + 4. Let q be k(1). Factor 66*w - 187*w + 3*w**q + 65*w + 62*w + 3.
3*(w + 1)**2
Let f(l) be the first derivative of -l**2 + 52*l - 52/3*l**3 + 1/2*l**4 - 176. Let f(j) = 0. What is j?
-1, 1, 26
Suppose -4*r + 3*r + 1 = 0. Let x be (0 - r) + 4 - -2. Determine h, given that 38*h**2 + 4*h - x - 40*h**2 + 7 - 4*h**3 = 0.
-1, -1/2, 1
Factor 6/5*g - 2/5*g**2 + 36/5.
-2*(g - 6)*(g + 3)/5
Let i(r) be the second derivative of -r**6/900 - 3*r**5/50 - 27*r**4/20 - r**3/3 - 34*r. Let q(a) be the second derivative of i(a). Factor q(l).
-2*(l + 9)**2/5
Solve 27 - 33/2*n + 3/2*n**3 - 12*n**2 = 0.
-2, 1, 9
Let k(s) be the first derivative of s**4 + 2264*s**3 + 1922136*s**2 + 725285984*s + 405. Factor k(f).
4*(f + 566)**3
Suppose 0 = -117*g + 179*g - 124. Let z = 150 + -147. Let 14/3*p + 10/3*p**g + 2/3*p**z + 2 = 0. Calculate p.
-3, -1
Let r = 65 + 7. Let d = 70 - r. Let i(u) = -5*u**2 + 28*u - 45. Let t(z) = -15*z**2 + 83*z - 135. Let c(x) = d*t(x) + 7*i(x). Factor c(g).
-5*(g - 3)**2
Let g be ((-21)/63)/(335/(-3618)). Let -g + 2/5*b**2 + 16/5*b = 0. Calculate b.
-9, 1
Let p(t) be the first derivative of t**8/840 - t**7/70 + 11*t**6/180 - t**5/10 - 32*t**3/3 + 2*t - 174. Let z(r) be the third derivative of p(r). Factor z(b).
2*b*(b - 3)*(b - 2)*(b - 1)
Suppose -z - 10 = -3*h, -6*h + 2*z + 2 = -9*h. Suppose 2*s + 5*l + 2 = -s, -20 = -2*s + 2*l. Factor -h*c**4 + s*c**3 + 48 - 48 - 4*c**2.
-2*c**2*(c - 2)*(c - 1)
Factor 35/3*c - 1/3*c**2 - 92.
-(c - 23)*(c - 12)/3
Let w(j) be the first derivative of -j**6/16 + 21*j**5/40 + 75*j**4/32 - 43*j**3/8 - 63*j**2/2 - 81*j/2 - 3916. Solve w(a) = 0.
-2, -1, 3, 9
Let x(t) be the second derivative of -t**7/84 - t**6/15 + t**5/4 + 7*t**4/6 + 5*t**3/4 - 141*t + 1. Determine g so that x(g) = 0.
-5, -1, 0, 3
Suppose -2 = -4*a + 6. Solve 29*h**2 - 14*h + a + 2 + 20*h**2 - 39*h**2 = 0.
2/5, 1
Let y(f) be the first derivative of -f**6/2 - 3*f**5/5 + 75*f**4/4 + 85*f**3 + 144*f**2 + 108*f - 4326. Solve y(s) = 0.
-3, -2, -1, 6
Let z(g) = 348*g**2 - g - 2. Let j(b) = -1044*b**2 - 4*b + 7. Let r(n) = 2*j(n) + 7*z(n). Find q, given that r(q) = 0.
0, 5/116
Factor -584/13*w**4 + 3707144/13*w - 1767724/13*w**2 - 2/13*w**5 - 1882384/13 - 56450/13*w**3.
-2*(w - 1)**2*(w + 98)**3/13
Let k(x) be the second derivative of x**6/255 - 14*x**5/85 + 13*x**4/6 - 338*x**3/51 - 1642*x. Find p such that k(p) = 0.
0, 2, 13
Let u(z) = 12*z**3 - 152*z**2 + 324*z - 112. Let v(k) = 2*k**3 - 8. Let c(m) = -u(m) - 4*v(m). Suppose c(j) = 0. What is j?
3/5, 3, 4
Let b(f) be the first derivative of 5/8*f**2 - 11/12*f**3 - 1/20*f**5 + 1 + 0*f + 7/16*f**4. Factor b(v).
-v*(v - 5)*(v - 1)**2/4
Let q(z) = -2*z**2 - 8*z + 1. Let t be q(-4). Factor -38*a - 6*a**2 - 8 + 0 + t - 5.
-2*(a + 6)*(3*a + 1)
Find i, given that 56*i**2 + 0*i**3 - 740 + 160*i - 4*i**3 - 894 + 1944 - 822 = 0.
-4, 2, 16
Let m(b) be the third derivative of 0*b - 21*b**2 + 3 + 0*b**4 + 1/1155*b**7 + 0*b**3 + 0*b**6 - 1/330*b**5. Factor m(d).
2*d**2*(d - 1)*(d + 1)/11
Let n(r) be the third derivative of -r - 47/60*r**4 + 16/5*r**3 + 13*r**2 + 0 - 1/150*r**5. Determine u, given that n(u) = 0.
-48, 1
Factor 4*n - 26031*n**2 - 8*n + 27357*n**2 - 1322*n**3.
-2*n*(n - 1)*(661*n - 2)
Let i be 3/648*12*1. Let r(a) be the second derivative of -1/6*a**2 + 0 - 1/18*a**3 - 1/90*a**6 + i*a**4 - 1/126*a**7 + 1/30*a**5 - 7*a. Factor r(v).
-(v - 1)**2*(v + 1)**3/3
Let x be 3/2*5/3. Let v = 57529/6 - 115013/12. Let v*q + 5/4*q**2 + x = 0. Calculate q.
-2, -1
Determine n so that 77/4*n**2 + 19/4*n**3 - 9/2*n - 5/4*n**4 - 18 - 1/4*n**5 = 0.
-6, -3, -1, 1, 4
Let i(c) be the second derivative of 151*c**4/78 + 35*c**3/3 + 6*c**2/13 - 2*c - 963. Factor i(a).
2*(a + 3)*(151*a + 2)/13
Let n(l) be the second derivative of -l**6/105 + 4*l**5/7 - 55*l**4/21 - 40*l**3/21 + 111*l**2/7 - l - 770. Find a such that n(a) = 0.
-1, 1, 3, 37
Let m(s) be the first derivative of 5*s**8/168 + 5*s**7/42 + s**6/6 + s**5/12 + s**2 - 5*s + 63. Let l(k) be the second derivative of m(k). Factor l(f).
5*f**2*(f + 1)**2*(2*f + 1)
Let s(p) be the first derivative of -p**6/24 + 2*p**5/5 + 63*p**4/2 - 784*p**3/3 + 790*p**2 - 1056*p - 1664. Suppose s(a) = 0. What is a?
-22, 2, 24
Let c(g) be the third derivative of -g**5/30 + 6*g**4 - 272*g**3/3 - 1331*g**2. Determine k so that c(k) = 0.
4, 68
Let b = -112 - -50. Let u = 66 + b. Find r, given that -5*r**2 + 3*r**2 + 6*r**3 + 6*r**2 + 0*r**3 + 2*r**u = 0.
-2, -1, 0
Let a be 8 - -3 - (-3 + 8). Factor 588 + a*v**3 + 87*v**2 - 3*v**3 - 2722*v + 3394*v.
3*(v + 1)*(v + 14)**2
Let y(x) be the first derivative of -6/5*x**5 - 8*x**2 + 29 + 32/3*x + 1/9*x**6 + 23/6*x**4 - 14/9*x**3. Suppose y(n) = 0. What is n?
-1, 1, 4
Let o(w) = -w + 13. Let f be o(12). Let p be 75/25*(f + 2 - 2). Factor 2 - 53*q - 2*q**2 + 52*q + q**3 - 3 + p*q**2.
(q - 1)*(q + 1)**2
Let a(d) be the first derivative of -1/12*d**4 - 2/45*d**5 - 1/180*d**6 + 0*d + 23/2*d**2 + 11 + 0*d**3. Let c(s) be the second derivative of a(s). Factor c(r).
-2*r*(r + 1)*(r + 3)/3
Let b = -2091 + 2308. Suppose 214*s + 5*z + 27 = b*s, 0 = -2*s - 5*z - 7. Find d, given that 0 + 16/5*d - s*d**4 - 64/5*d**2 + 68/5*d**3 = 0.
0, 2/5, 1, 2
Suppose 298/3*p - 34/3*p**3 + 2/3*p**4 + 94/3*p**2 + 56 = 0. Calculate p.
-1, 7, 12
Let o(z) be the first derivative of -5/4*z**2 - 5/12*z**3 + 15/4*z - 81. Factor o(d).
-5*(d - 1)*(d + 3)/4
Determine b so that -273*b**3 + 46*b**5 + 30*b**5 + 18*b**2 + 40*b**5 - 71*b**5 + 42*b**4 = 0.
-3, 0, 1/15, 2
Let t(n) be the second derivative of -1/6*n**2 + 19/120*n**5 + 0*n**4 - n + 36 + 1/15*n**6 - 1/4*n**3. Find z, given that t(z) = 0.
-1, -1/4, 2/3
Factor -368*y + 0*y**4 + 186*y**3 - 180*y**2 + 7*y**4 - 13*y**4 + 4*y**4 + 0*y**4.
-2*y*(y - 92)*(y - 2)*(y + 1)
Let c(w) be the first derivative of -53/2*w**3 + 51/8*w**4 + 23 + 30*w**2 - 6*w. Factor c(v).
3*(v - 2)*(v - 1)*(17*v - 2)/2
Let n(r) = r**4 + 81*r**3 - 135*r**2 + 43*r - 5. Let m(t) = 80*t**3 - 136*t**2 + 48*t - 4. Let l(y) = -5*m(y) + 4*n(y). Factor l(w).
4*w*(w - 17)*(w - 1)**2
Let x(s) be the first derivative of -7*s**4/4 - 123*s**3 - 129*s**2 + 104*s - 4400. Factor x(v).
-(v + 1)*(v + 52)*(7*v - 2)
Let s = -136 + 138. Solve 5*q**3 + 0*q**3 - 3*q**3 + 366*q + 1946*q - 48*q**2 - 88*q**s = 0 for q.
0, 34
Let c(u) be the second derivative of 2*u**6/15 - 31*u**5/5 + 124*u**4/3 + 104*u**3 - 3*u - 99. Factor c(h).
4*h*(h - 26)*(h - 6)*(h + 1)
Let x = 25 - 21. Suppose 9*h - 6*h = 7*h + 27*h. Determine t, given that