etermine t, given that -21/5*t + 11/5 + 1/5*t**3 + 9/5*t**2 = 0.
-11, 1
Let j(z) = -9*z**2 + 10482*z - 9114135. Let a(w) = -8*w**2 + 10478*w - 9114137. Let x(u) = 6*a(u) - 5*j(u). Factor x(f).
-3*(f - 1743)**2
Let q be (-5)/(-3)*288/80. Let n(p) be the third derivative of 1/140*p**7 + 1/80*p**q - 19*p**2 + 0*p**5 + 0*p + 0*p**3 + 0*p**4 + 0. What is m in n(m) = 0?
-1, 0
Let x(i) = -155*i**4 + 605*i**3 + 755*i**2 - 4895*i + 5685. Let v(a) = 11*a**4 - 43*a**3 - 54*a**2 + 350*a - 406. Let c(j) = 85*v(j) + 6*x(j). Factor c(f).
5*(f - 5)*(f - 2)**2*(f + 4)
Let a(y) = 16*y + 13. Let j be a(6). Let -16*g - 5*g**3 - 5*g**2 - j*g - 4*g**2 - 20*g**2 - 21*g**2 = 0. What is g?
-5, 0
Let l be (3*1/(-6))/((-26)/((-1092)/(-105))). Suppose -l*y + 0 + 1/5*y**2 = 0. What is y?
0, 1
Let p(i) = -24*i**2 - 594*i + 628. Let x(h) = 34*h**2 + 892*h - 940. Let b(l) = -7*p(l) - 5*x(l). Determine j so that b(j) = 0.
-152, 1
Let b(w) be the second derivative of -w**5/90 + w**4/18 + 4*w**3/27 + 2865*w. Determine p, given that b(p) = 0.
-1, 0, 4
Let h(j) = -j**4 - 85*j**3 + 360*j**2 - 679*j + 349. Let v(y) = y**4 + 57*y**3 - 240*y**2 + 453*y - 231. Let r(s) = 5*h(s) + 7*v(s). Solve r(u) = 0.
1, 4
Let z = -65 + 127. Let f = z - 45. Factor -21 - 4*l**2 + 2*l - 8*l**4 - f*l**3 + 3*l**3 + 21.
-2*l*(l + 1)**2*(4*l - 1)
Let z(t) be the second derivative of 0 - 56/3*t**2 + 5/18*t**4 - 46/3*t**3 + 128*t. Solve z(b) = 0 for b.
-2/5, 28
Suppose -3*h = r + 4382, -15*h + 10*h + 2*r - 7307 = 0. Let c = h - -1463. Find a such that 12/5*a**4 - 4/5*a**5 - 12/5*a**c - 4/5*a**3 + 8/5*a + 0 = 0.
-1, 0, 1, 2
Let b(t) be the third derivative of -t**7/420 - 19*t**6/120 - 13*t**5/5 + 70*t**4/3 + 800*t**3/3 - 1417*t**2 + t. Determine m, given that b(m) = 0.
-20, -2, 4
Determine l, given that -6498 - 6270*l + 113662*l**3 + 226*l**2 - 227331*l**3 + 113667*l**3 = 0.
-1, 57
Suppose -6*w + 8 = -2*w. Suppose -7 = r + w*a - 0, a + 11 = 2*r. Factor -10 - 8*z**2 + r*z**2 + 9*z - 24*z.
-5*(z + 1)*(z + 2)
Factor 80 + 38/3*l + 1/3*l**2.
(l + 8)*(l + 30)/3
Let u be 27/7*1603/2748. Factor -9/4*o**2 + 3/4*o**3 - 3/4*o + u.
3*(o - 3)*(o - 1)*(o + 1)/4
Let m = 4876/28655 - -171/5731. Let -2/5*p**3 + 3/5*p - m*p**5 - 16/5*p**2 + 6/5*p**4 + 2 = 0. What is p?
-1, 1, 2, 5
Let h(m) be the second derivative of m**7/735 - 11*m**6/420 - 5*m**5/42 - 13*m**4/84 - 115*m**2/2 + 35*m. Let l(k) be the first derivative of h(k). Factor l(a).
2*a*(a - 13)*(a + 1)**2/7
Let w be (16/(-96) - (-184)/483)*21. Factor w*a + 1/2*a**2 - 1/2*a**3 - 9/2.
-(a - 3)*(a - 1)*(a + 3)/2
Let m = -3609953/11 - -328181. Determine a, given that -m*a**3 + 2/11*a**4 + 228/11*a**2 - 448/11*a + 256/11 = 0.
1, 2, 8
Let g be 1 + -4 + 3 + 3 - (11 - 10). Let k(h) be the third derivative of 1/32*h**4 + 3/80*h**5 + 0 + 9*h**g - 1/160*h**6 + 0*h - 3/8*h**3. Factor k(z).
-3*(z - 3)*(z - 1)*(z + 1)/4
Let j(o) = 2*o**4 - 30*o**3 - 31*o**2 + 49*o - 5. Let x(f) = f**4 - 30*f**3 - 29*f**2 + 50*f - 4. Let g(b) = 4*j(b) - 5*x(b). Factor g(y).
3*y*(y - 1)*(y + 2)*(y + 9)
Suppose -4*h - 11 = -43. Let b(f) = 18*f - 138. Let u be b(h). Factor 18 + 1/2*z**2 - u*z.
(z - 6)**2/2
Let d be 84/16*(-5 + 1365/245). Factor d*k + 3/2*k**2 + 0.
3*k*(k + 2)/2
Suppose 49 = 23*u - 66. Let w(i) be the second derivative of -1029/8*i**2 + 0 - 3/80*i**u - 147/8*i**3 - 25*i - 21/16*i**4. What is k in w(k) = 0?
-7
Let j(s) be the second derivative of 4/45*s**5 - 2/135*s**6 + 0*s**2 - 1/27*s**4 + 19 + 3*s - 4/9*s**3. Let j(n) = 0. Calculate n.
-1, 0, 2, 3
Factor 16*p + 25*p - 2*p - 3*p + p**2 + 99.
(p + 3)*(p + 33)
Suppose -5*i + 1149 + 955 = -2*w, 5*i = -5*w + 2125. Let m = 422 - i. Find z such that 3/5*z + m - 1/5*z**2 = 0.
0, 3
Let g = -640765 + 2563061/4. Factor -3/4*t + g*t**2 - 9/2.
(t - 6)*(t + 3)/4
Suppose 4*s + 8*i - 5*i - 111 = 0, s - 2*i - 25 = 0. Factor -1 - 12*d - 35*d**3 - 80*d**2 - 29*d - 9 + 13*d - s*d.
-5*(d + 1)**2*(7*d + 2)
Suppose -4*u + 2*h + 89 = -125, -4*u = -3*h - 209. Let k = u - 49. Factor 4*l**3 - 8*l**2 + 2*l - 5*l - 16*l**3 - k*l**2.
-3*l*(l + 1)*(4*l + 1)
Suppose -x = 0, -3*f + 4*x + 35 = -25. Suppose -70*l = -65*l - f. Solve -126 + 28*i - l*i - 18*i**3 - 12*i**2 + 3*i**4 + 126 + 3*i**5 = 0.
-2, 0, 1, 2
Suppose 2*b = -3*p, 0 = -5*p - 5*b - 3 - 2. Factor 9 - 6*w**2 - 5*w**3 + 1 + 20 - 4*w**p + 25*w.
-5*(w - 2)*(w + 1)*(w + 3)
Let g = -4/44221 + 132691/309547. Solve -g*f**3 + 24/7 - 24/7*f**2 + 3/7*f = 0.
-8, -1, 1
Suppose 0 = 25*o + 725 - 2325. Let b(g) be the second derivative of 1/10*g**5 + 0 + 16*g**3 - 2*g**4 - o*g**2 - 14*g. Determine v, given that b(v) = 0.
4
Let r(h) be the third derivative of -h**6/1140 + h**5/285 + 91*h**4/228 + 88*h**3/57 - 6127*h**2. Factor r(y).
-2*(y - 11)*(y + 1)*(y + 8)/19
Suppose 109 - 660*n**4 - 45 + 2092*n**2 + 672*n - 15*n**5 - 200*n**2 + 115*n**5 + 524*n**3 = 0. Calculate n.
-1, -1/5, 4
Let c(n) = -5*n**3 - 4*n**2 + 3*n + 6. Let l(p) = -10*p**2 - 10*p**3 - 1 - 14*p + 5 + 12*p + 7*p + 6. Let s(z) = 5*c(z) - 3*l(z). Factor s(k).
5*k**2*(k + 2)
Suppose 26 + 46 - 23*b + 311*b**2 + 33*b - 2*b**3 + 38*b - 309*b**2 = 0. What is b?
-3, -2, 6
Determine l so that 28*l**3 + 16*l**3 + 520*l**2 - 155 + 71 - 204 + 1488*l = 0.
-6, 2/11
Suppose q + 10 = 2*f - 2*q, -4 = f + 3*q. Factor -75*c + 45*c + 0*c**f + 225 + c**2.
(c - 15)**2
Let l(d) be the second derivative of -1/6*d**4 + 7/180*d**6 + 1/252*d**7 + 1/30*d**5 - 5 + 0*d**2 - 5*d + 0*d**3. Factor l(k).
k**2*(k - 1)*(k + 2)*(k + 6)/6
Suppose 10*q - 18 = 12. Solve 35*c - 16*c**2 - 6*c**q - 9*c**2 + 11*c**3 - 15 = 0.
1, 3
Let -10*y**2 + 51/2*y + 0 + 1/2*y**3 = 0. What is y?
0, 3, 17
Let u(a) = -3*a**3 - 4*a. Let l(s) = 8*s**3 + 16*s**2 + 263*s + 234. Let h(k) = 2*l(k) + 6*u(k). Factor h(i).
-2*(i - 26)*(i + 1)*(i + 9)
Let i(t) be the second derivative of -t**8/672 - t**7/84 + t**6/240 + t**5/24 - 35*t**2 + 47*t. Let s(x) be the first derivative of i(x). Solve s(m) = 0 for m.
-5, -1, 0, 1
Let t(u) be the first derivative of -2*u**5 + 1855*u**4/4 - 27890*u**3 - 109510*u**2 - 88360*u - 3881. Solve t(d) = 0.
-2, -1/2, 94
Let z be (7/2 - 1)*2. Factor 19 + 13*u - z*u**2 + 11 + 5*u - 13*u.
-5*(u - 3)*(u + 2)
Let u be (39/(-9))/(572/(-396)). Solve 0*l**4 - 12/5*l**2 - 16/15*l - 22/15*l**u + 0 + 2/15*l**5 = 0.
-2, -1, 0, 4
Let g(y) = -57*y**2 + 41*y - 9. Let r(t) = t**2 + 4*t - 10. Let x be r(-6). Let v(o) = 3*o**x + o**2 - 5*o**2 + o. Let c(n) = -2*g(n) - 14*v(n). Factor c(u).
2*(8*u - 3)**2
Let a(q) = q**3 + 17*q**2 - 39*q - 13. Let r be a(-19). Let p be r/10 + 9/27. Suppose -2*f - p*f**2 - 2/15*f**3 - 6/5 = 0. Calculate f.
-3, -1
Let g(f) be the first derivative of 0*f + 0*f**2 + 266 - 12/7*f**4 - 3/35*f**5 - 15/7*f**3. Factor g(u).
-3*u**2*(u + 1)*(u + 15)/7
Suppose -42*t + 249*t + 66*t = 909 + 183. Find y such that 4/3 - 11/6*y**3 - 7/6*y**2 - 1/6*y**t + 1/6*y**5 + 5/3*y = 0.
-2, -1, 1, 4
Let b = -105/4469 + 9463/22345. Factor -16/5*m + 14/5 + b*m**2.
2*(m - 7)*(m - 1)/5
Let z(j) be the first derivative of -5/6*j**3 - 2205/2*j + 45 - 105/2*j**2. Determine q, given that z(q) = 0.
-21
Let l(v) be the third derivative of 0*v**3 + 0*v + 8/3*v**4 + 0 - 21/10*v**5 + 1/105*v**7 + 1/2*v**6 - 235*v**2. Factor l(m).
2*m*(m - 1)**2*(m + 32)
Let m(v) be the second derivative of -v**5/20 + 2*v**4 - 665*v + 2. Solve m(i) = 0.
0, 24
Let v(o) be the third derivative of -1/480*o**5 - 1 - 3*o**2 - 27/4*o**3 + 3/16*o**4 + 0*o. Factor v(i).
-(i - 18)**2/8
Let r(x) be the second derivative of x**5/40 - x**4/16 - 3*x**3 - x**2/2 + 2*x + 111. Let y(d) be the first derivative of r(d). Factor y(g).
3*(g - 4)*(g + 3)/2
Let p be (16/(-12))/(48/(-1116)). Solve -93*h**2 + 108 + 7*h**4 + 134*h - 38*h - 3*h**5 + 26*h**4 - p*h**3 - 20*h**3 + 6*h**3 = 0 for h.
-1, 2, 9
Let w(v) = -5*v**3 + 5*v**2 - 7*v - 3. Let n(p) = 32*p**3 - 30*p**2 + 42*p + 21. Let i(t) = -6*n(t) - 39*w(t). Suppose i(b) = 0. What is b?
1, 3
Let p = -23876/1037 + 91835504/3949933. Let t = p - -24/293. Let 20/13 - t*y**2 + 38/13*y = 0. Calculate y.
-1/2, 10
Let n(c) be the first derivative of c**5/12 + 5*c**4/12 + 9*c**2 - 24. Let w(r) be the second derivative of n(r). Solve w(s) = 0 for s.
-2, 0
Let j(a) be the third derivative of -a**5/90 + 25*a**4/36 + 224*a**3/9 + 2*a**2 + 184. Factor j(v).
-2*(v - 32)*(v + 7)/3
Find s, given that -17260437*s**2 + 1726