p - 2*p - p**2. Let v(k) = -15*k**2 - 10*k + 5. Let g be (0 + -2)*1/(-2). Let w(l) = g*v(l) - 20*h(l). Find c, given that w(c) = 0.
-1
Let -3*l**4 - 549/5*l**2 - 327/5*l**3 + 12 - 177/5*l = 0. Calculate l.
-20, -1, 1/5
Let k(q) be the third derivative of q**8/168 + 2*q**7/15 + 53*q**6/60 - 2*q**5/3 - 25*q**4 - 2*q**2 - q + 365. Factor k(b).
2*b*(b - 2)*(b + 5)**2*(b + 6)
Let z(n) = 127*n - 887. Let v be z(7). Let a(q) be the first derivative of -2 + 0*q**v - 1/4*q**4 + 0*q + 1/5*q**5 - 1/3*q**3 + 1/6*q**6. Solve a(y) = 0 for y.
-1, 0, 1
Suppose -13*d = -5*d + 120. Let v be (-5)/d*21 - 4. Factor 0*h**3 - 9/2*h**2 - v*h + 3/2*h**4 + 0.
3*h*(h - 2)*(h + 1)**2/2
Let m(w) be the third derivative of -13 - 98*w**3 + 1/40*w**6 + 0*w + w**2 + 28*w**4 - 29/20*w**5. Factor m(n).
3*(n - 14)**2*(n - 1)
Let s(c) be the third derivative of -1/6*c**4 - 1/15*c**5 + 1 - 11*c**2 + 4/3*c**3 + 0*c. Factor s(b).
-4*(b - 1)*(b + 2)
Let p = -2986 - -2986. Let d(b) be the first derivative of -2/65*b**5 + 1/26*b**4 + p*b**2 + 0*b - 1/39*b**6 + 2/39*b**3 + 4. Factor d(m).
-2*m**2*(m - 1)*(m + 1)**2/13
Let f(o) be the third derivative of 1/27*o**4 + 1/30*o**5 - 1/90*o**6 + 0 + 0*o - 4/9*o**3 + 1/945*o**7 + 51*o**2. Let f(g) = 0. What is g?
-1, 2, 3
Suppose 20*j = -47*j + 804. Suppose 0 = -3*f - j - 3, -2*x + 4*f = -26. Solve -2/9*p**4 + 4/9*p - 10/9*p**2 + 0 + 8/9*p**x = 0.
0, 1, 2
Suppose 0 = 5*c + 5*u + 25, 5*c + 30355*u + 10 = 30353*u. Factor 0*v - 1/7*v**5 + 10/7*v**3 - 3/7*v**4 + 0 + c*v**2.
-v**3*(v - 2)*(v + 5)/7
Let w(p) be the third derivative of p**8/420 - p**7/105 - 4*p**6/45 - 51*p**3/2 + 110*p**2. Let k(t) be the first derivative of w(t). Factor k(g).
4*g**2*(g - 4)*(g + 2)
Let r(c) = -22*c**3 + 8*c - 7. Let y(b) = 15*b**3 - 5*b + 5. Suppose 8 = 3*m - 7*m, -5*o = 3*m - 139. Let h = o + -34. Let l(w) = h*r(w) - 7*y(w). Factor l(j).
5*j*(j - 1)*(j + 1)
Let m be 12 + 13 + (-300)/12. Solve -3/2*q**2 + m + 15/2*q**4 - 2*q**5 - 4*q**3 + 0*q = 0 for q.
-1/4, 0, 1, 3
Let k(m) be the third derivative of -m**7/1050 + m**6/30 - 29*m**5/75 + 32*m**4/15 - 32*m**3/5 + m**2 - m + 36. Determine n so that k(n) = 0.
2, 4, 12
Suppose 20*o - 266 + 26 = 0. Let s be (35/1470)/(2/o). Determine q so that 0*q - s*q**5 + 0*q**2 - 4/7*q**3 - 4/7*q**4 + 0 = 0.
-2, 0
Let t(r) be the third derivative of 0*r + 3/250*r**5 + 0*r**4 - 24 - 2*r**2 + 0*r**3 - 1/1500*r**6. Factor t(f).
-2*f**2*(f - 9)/25
Let i = -257112/323 + 15160/19. Suppose -10/17*n**5 + 64/17*n**3 - 96/17*n - 16/17*n**2 + 6/17*n**4 - i = 0. What is n?
-2, -1, -2/5, 2
Let i(f) = f**2 - 24*f - 212. Let k be i(31). Factor -g**3 - k + 1 - 122968*g**2 + 122962*g**2 - 9*g.
-(g + 1)**2*(g + 4)
Solve 8689*u**2 - 84 - 8722*u**2 - 3*u**3 + 36 - 78*u = 0 for u.
-8, -2, -1
Factor -17/2*l**2 + 81/2 + 63/2*l + 1/2*l**3.
(l - 9)**2*(l + 1)/2
Factor -160*r + 14 + 90 + 26*r**2 + 10*r**3 - 280*r**2 + 0*r**3.
2*(r - 26)*(r + 1)*(5*r - 2)
Suppose -288/11*g + 8/11*g**4 - 640/11 + 470/11*g**2 + 126/11*g**3 = 0. Calculate g.
-8, -1, 5/4
Let h(i) = i**3 - i**2 + 2. Let r be h(-1). Suppose -4*j - j + 30 = r. Factor -5*o**2 - 3 + j - 3 + 10*o.
-5*o*(o - 2)
Let b be (3 + -24)/(((-42)/4)/7). Let f be 7/((539/b)/11). Let 1/6*j**3 + 0 + 1/2*j**4 + 0*j**f + 0*j = 0. What is j?
-1/3, 0
Let l = -1466/3 - -58643/120. Let z(f) be the third derivative of 0*f**4 - 8*f**2 + 0*f + 0 + 0*f**5 + l*f**6 + 0*f**3. Determine r so that z(r) = 0.
0
Let d(b) be the third derivative of 12/13*b**3 - 10*b**2 + 0*b + 1/390*b**5 - 4 - 1/13*b**4. Let d(p) = 0. What is p?
6
Let c(b) = -33*b - 416. Let v be c(-13). Factor 13 - 15*z**3 - v + 10*z + 20*z**2 - 15*z**2.
-5*z*(z - 1)*(3*z + 2)
Solve 16/7*t**3 - 2/7*t**4 + 60/7*t**2 + 64/7*t + 22/7 = 0 for t.
-1, 11
Let r be ((-9603)/(-225) + -43)/(4/(-10)). Let w(f) be the first derivative of 36 + 2*f**3 + 1/6*f**6 + 0*f - r*f**5 + 0*f**2 + 1/4*f**4. Factor w(l).
l**2*(l - 3)*(l - 2)*(l + 1)
Let x(i) be the third derivative of -5*i**8/2352 + 74*i**7/735 + 11*i**6/42 - 43*i**5/210 - 215*i**4/168 - 31*i**3/21 + 3241*i**2. Solve x(z) = 0.
-1, -2/5, 1, 31
Determine v so that -578*v**2 + 13/5*v**4 + 27225 - 4125*v + 274/5*v**3 - 1/5*v**5 = 0.
-11, 5, 15
Let u(x) = -x**2 - 7*x + 138. Let f be u(-18). Let v be -7 - (428/f)/1. Factor 2/15*o + v*o**2 + 0.
2*o*(o + 1)/15
Let k(j) = -j**2 - 164*j - 2. Let o(t) = 5*t**2 + 815*t + 11. Let u(m) = 22*k(m) + 4*o(m). Factor u(g).
-2*g*(g + 174)
Let h(w) be the first derivative of 1/16*w**4 + 0*w**3 + 0*w**2 - 11 + 13*w. Let f(v) be the first derivative of h(v). Factor f(y).
3*y**2/4
Let b = -1781 - -1796. Let z be (b/35)/(-8 + 575/70). Factor 65/2*c**z + 8 + 28*c + 25/2*c**3.
(c + 1)*(5*c + 4)**2/2
Find q such that -2*q**5 - 11741*q + 11741*q + 164*q**3 + 78*q**4 = 0.
-2, 0, 41
Let g(o) = 125*o**3 + 475*o**2 - 4635*o + 4255. Let l(a) = 9*a**3 + 34*a**2 - 331*a + 304. Let k(z) = -4*g(z) + 55*l(z). Determine v so that k(v) = 0.
-12, 1, 5
Determine m so that 374/7*m**3 - 324/7 + 110/7*m**4 + 246/7*m**2 + 8/7*m**5 - 414/7*m = 0.
-9, -3, -2, -3/4, 1
Let l be 2/(-3) + 1 + 1123/(-3369). Let s(z) be the second derivative of z**2 + 1/10*z**5 + 1/2*z**4 + 15*z + z**3 + l. Factor s(x).
2*(x + 1)**3
Factor 1242*g**2 + 3/2*g**4 + 147*g**3 + 7209/2 + 3645*g.
3*(g + 3)**3*(g + 89)/2
Let z(x) = x + x**3 + 3*x**3 - 5*x**3. Let m = -203 - -197. Let v(i) = 9*i**3 - 12*i**2 - 3*i + 18. Let l(a) = m*z(a) - v(a). Factor l(r).
-3*(r - 3)*(r - 2)*(r + 1)
Let u = 26807 - 26801. Let a(c) be the first derivative of u*c**3 - 27*c**2 - 1/2*c**4 + 15 + 54*c. Find i, given that a(i) = 0.
3
Let r be ((-5850)/(-1521))/(12/1274). Factor -1/3*h**2 - r + 70/3*h.
-(h - 35)**2/3
Let y = 33 + -31. Suppose 4*r + y = -5*g + 4, -1 = -r - g. Let d - 2*d**2 - 28*d - d + 7*d**r + 8 = 0. What is d?
-2, 2/7, 2
Let t be 1716/77*(-210)/(-4) - 0. Let b be (-54)/t - (-1)/5. Factor -b*m**2 + 10/13 - 8/13*m.
-2*(m - 1)*(m + 5)/13
Let x(j) be the third derivative of j**6/60 + 34*j**5/105 + 23*j**4/21 - 32*j**3/21 + 44*j**2 + 4. Suppose x(o) = 0. Calculate o.
-8, -2, 2/7
Let i = 229/908 - 1/454. Let z(r) be the first derivative of -3/16*r**4 + i*r**3 + 0*r - 23 - 1/8*r**2 + 1/20*r**5. Find q, given that z(q) = 0.
0, 1
Let v(y) be the third derivative of -y**6/120 + 229*y**5/60 + 4*y**2 - 50*y - 4. Factor v(b).
-b**2*(b - 229)
Suppose -4*o + 5*m + 229 = 0, -5*o = m - 279 - 29. Factor -o*b**2 + 114*b**2 - 24*b - 52*b**2 + 900 - 36*b.
(b - 30)**2
Let m = -3465 - -658351/190. Let t(f) be the second derivative of 1/57*f**3 + 0*f**2 + 25*f + 0*f**4 - m*f**5 + 0. Factor t(c).
-2*c*(c - 1)*(c + 1)/19
Let v(n) be the third derivative of n**6/2 - 257*n**5/12 + 515*n**4/24 + 35*n**3 + n**2 + 4*n + 15. Factor v(f).
5*(f - 21)*(3*f - 2)*(4*f + 1)
Factor -290/7*y + 10/7*y**3 + 8/7*y**2 + 0.
2*y*(y - 5)*(5*y + 29)/7
Suppose 0 = 119*j - 121*j - 3*d + 54, -2*j - 5*d + 86 = 0. Factor 0 + 5/4*k**j + 1125/4*k - 75/2*k**2.
5*k*(k - 15)**2/4
Let a(c) = -c**3 - 5*c**2 - 5*c + 5. Let u be a(-3). Let -4*x**5 + 10*x**4 - 23*x**4 + 48*x**u + 44*x**3 + 5*x**4 = 0. Calculate x.
-4, -1, 0, 3
Find d, given that 34/13*d**3 + 180/13*d**2 + 216/13*d + 2/13*d**4 - 432/13 = 0.
-6, 1
Suppose 0 = 5*k - a - 24, 3*k - 24 = 2*a + a. Suppose 0 = -364*g + 389*g. Factor 2/3*q**2 + 4/3*q**3 + 0*q + 2/3*q**k + g.
2*q**2*(q + 1)**2/3
Factor 44 - 2*f**3 + 34*f**2 + 26*f - 4*f**2 - 19*f**2 - 31*f**2.
-2*(f - 2)*(f + 1)*(f + 11)
Let d be (-23)/115 + 32/10. Factor 10 - 23*t**2 - 115*t - 17*t**2 - 23*t**2 + 180*t**d - 12*t**2.
5*(t - 1)*(3*t + 2)*(12*t - 1)
Let y = -103 + 207/2. Let x(b) = 2*b**2 - 2*b - 1. Let n be x(-1). Factor 5/2*u - y*u**2 - n.
-(u - 3)*(u - 2)/2
Factor -11/2*j**3 - 1 + j**2 + 11/2*j.
-(j - 1)*(j + 1)*(11*j - 2)/2
Let u(a) be the second derivative of -a**7/2940 + a**6/315 + a**5/35 - 19*a**3/2 + a**2 - a + 49. Let v(z) be the second derivative of u(z). Factor v(o).
-2*o*(o - 6)*(o + 2)/7
Let s(k) = 15*k + 106. Let f be s(12). Solve -f*n**3 - 4*n**5 + 1 - 351*n**2 - 1 + 128*n + 255*n**2 - 66*n**4 = 0 for n.
-8, -1, 0, 1/2
Let h(n) be the second derivative of -n**7/2940 + n**6/420 + n**5/420 - n**4/28 + 3*n**3 + 61*n. Let y(x) be the second derivative of h(x). Factor y(a).
-2*(a - 3)*(a - 1)*(a + 1)/7
Let i(t) be the first derivative of 31*t - 24 - 1/4*t**5 - 5/6*t**4 + 0*t**2 - 