i**2 + 2*i**d.
-i**2*(3*i + 1)
Let v(j) = -397*j - 1585. Let b be v(-4). Solve 6/11*f**4 + 0*f + 0*f**2 - 12/11*f**b + 0 = 0.
0, 2
Let z(p) = 2*p**4 + p**3 + p + 1. Let j(s) = 13*s**3 + 26*s**2 + s - 9. Let o(i) = -2*j(i) + 6*z(i). Factor o(x).
4*(x - 3)*(x + 1)**2*(3*x - 2)
Let g(f) = f**2 + 60*f + 420. Let p be g(-8). Let u(y) be the first derivative of -p + 7/26*y**4 + 0*y + 2/13*y**2 + 6/13*y**3. Factor u(j).
2*j*(j + 1)*(7*j + 2)/13
Suppose -l - 43 = -45. Let m(v) be the second derivative of -1/30*v**4 + 0*v**l + 1/15*v**3 - 6*v + 0. Solve m(j) = 0.
0, 1
Let q(u) be the third derivative of -1/15*u**6 + 0*u - 8/3*u**3 - 35*u**2 + 2/3*u**4 - 2/105*u**7 + 0 + 1/5*u**5. Factor q(d).
-4*(d - 1)**2*(d + 2)**2
Let c(z) be the third derivative of -z**5/3 - 19*z**4/36 - z**3/3 + 11*z**2 - 4. Factor c(f).
-2*(3*f + 1)*(10*f + 3)/3
Find o such that 7/2*o + 1/8*o**2 + 49/2 = 0.
-14
Let y(x) be the second derivative of x**8/16800 - x**7/3150 + x**6/1800 + 2*x**4/3 + 6*x. Let h(v) be the third derivative of y(v). Factor h(n).
2*n*(n - 1)**2/5
Determine r, given that 2/23*r**2 - 26/23*r + 0 = 0.
0, 13
Suppose 0 = -3*r + n + 2*n + 27, 54 = 4*r + 5*n. Let l be 8/(1 - 1/2). Factor -l*f**4 + 3 - 4*f**5 - r*f**3 + 11*f - 5*f**3 + 8*f**2 + 5 + 9*f.
-4*(f - 1)*(f + 1)**3*(f + 2)
Let h(r) = -r**2 + r + 1. Let x(o) be the first derivative of 5*o**3/3 - 3*o**2 - 3*o + 15. Let k(t) = -4*h(t) - x(t). Factor k(g).
-(g - 1)**2
Factor 75*p**2 + 5*p - 8*p**3 + 3*p**3 - 10 - 65*p**2.
-5*(p - 2)*(p - 1)*(p + 1)
Let g(i) be the third derivative of -25*i**8/336 - 3*i**7/14 + i**6/12 + 5*i**5/6 + 5*i**4/8 - 5*i**3/6 - 165*i**2. Let g(y) = 0. Calculate y.
-1, 1/5, 1
Let t(j) = -j**3 - j**2 + 4*j + 1. Let o(v) = -3*v**3 - 15*v**2 - 27*v + 51. Let z(n) = -3*o(n) + 6*t(n). Factor z(x).
3*(x - 1)*(x + 7)**2
Let j(y) = y**3 - 6*y**2 + y - 3. Let o be j(6). Let k(l) be the first derivative of -6*l + 6*l + 4*l**2 - 3*l**4 + 4*l**3 - o + 4*l**4. Factor k(m).
4*m*(m + 1)*(m + 2)
Let t = 4 - 0. Suppose t*s + 4*m = 32, 4 = m - 0. Determine i so that 0*i**4 - 6*i**3 + 8*i - 4 + s*i**4 - 2*i**3 = 0.
-1, 1
Let s be 2/28*32 + 16/(-56). Let -g**s + 8/5*g + 4/5 = 0. Calculate g.
-2/5, 2
Suppose -33/2*h**4 + 57/2*h**3 + 9/2*h + 3*h**5 - 39/2*h**2 + 0 = 0. What is h?
0, 1/2, 1, 3
Let 2*o - 7/6*o**3 + 1/6*o**5 + 1/3*o**2 + 0*o**4 - 4/3 = 0. What is o?
-2, 1, 2
Let n(l) be the first derivative of 3*l**5/35 - 3*l**4/7 - 3*l**3/7 + 3*l**2 - 24*l/7 + 336. Determine k so that n(k) = 0.
-2, 1, 4
Let u(d) be the first derivative of -3*d**4/4 + 2*d**3 - 3*d**2/2 - 65. Solve u(j) = 0.
0, 1
Factor 20/7*f + 16/7*f**2 + 0 + 1/7*f**3 - 1/7*f**4.
-f*(f - 5)*(f + 2)**2/7
Suppose -1168*o + 674 = -831*o. Factor 5*a + 3 + 3/4*a**o.
(a + 6)*(3*a + 2)/4
Let r(d) be the first derivative of 20*d**3/3 + 534*d**2 + 424*d - 204. Factor r(k).
4*(k + 53)*(5*k + 2)
Let j(k) be the first derivative of 455*k**4/4 + 655*k**3/3 + 110*k**2 + 20*k + 28. Let j(z) = 0. Calculate z.
-1, -2/7, -2/13
Let b(o) be the first derivative of -2*o**3/27 - 20*o**2/9 - 200*o/9 + 4. Solve b(n) = 0.
-10
Suppose -3*n - 9 = 0, 4 = -3*k + k - 2*n. Let w(o) be the first derivative of -1/3*o**3 - k + 1/4*o**4 + 0*o + 0*o**2. Suppose w(u) = 0. Calculate u.
0, 1
Let j(v) = 3*v. Let k be j(1). Let r(p) = 40*p**2 + 95*p + 20. Let f(s) = 20*s**2 + 48*s + 10. Let u(w) = k*r(w) - 5*f(w). Find m such that u(m) = 0.
-2, -1/4
Let n(l) = l + 4. Let c be n(-5). Let h(y) = -4*y**3 - 2*y**2 - 2*y - 1. Let i be h(c). Suppose 6*p**2 - p**2 - i*p**2 + p**2 - 9 - 6*p = 0. What is p?
-1, 3
Let v(j) be the second derivative of -2*j**4/3 - 2*j**3/3 - j**2/4 + 318*j. What is d in v(d) = 0?
-1/4
Suppose 2*k - 11 + 5 = 0. Let y(l) = -l**4 + l**2. Let o(t) = -2*t**4 + 5*t**3 - 5*t**2 - 4*t + 8. Let d(q) = k*o(q) - 3*y(q). Determine w so that d(w) = 0.
-1, 2
Let d(z) = 12*z**3 - 20*z**2 + 216*z - 245. Let t(c) = 3*c**3 - 7*c**2 + 72*c - 82. Let l(h) = 2*d(h) - 7*t(h). Let l(u) = 0. Calculate u.
-7, 2
Suppose 3*p - 4 = 2. Let q(t) be the second derivative of -1/2*t**3 + 3*t**2 + p*t + 0 - 1/4*t**4. Let q(b) = 0. Calculate b.
-2, 1
Let y(j) = j**3 - j**2 - j + 1. Let g(a) = -4*a**3 + 2*a**2 - 8*a + 10. Let v(m) = 3*g(m) + 15*y(m). Suppose v(n) = 0. Calculate n.
-3, 1, 5
Let m be (-10 - 1480/(-140))/((-89)/98 + 1). Determine z so that m*z - 8/9 - 98/9*z**2 = 0.
2/7
Suppose 22 = 5*m + 3*s, 14*m - 16*m + 4*s - 12 = 0. Factor 2/21*i + 0 - 2/21*i**m.
-2*i*(i - 1)/21
Let f be (144/40)/((-6)/(-15)). Let j = f - 8. Let p(r) = r**4 - 2*r**3 + 5*r**2 - 4*r. Let o(k) = k**2 - k. Let v(u) = j*p(u) - 4*o(u). Factor v(l).
l**2*(l - 1)**2
Let x = 1192 + -1190. Solve 1/5*o**x + 0 + 1/5*o = 0 for o.
-1, 0
Let c(x) be the third derivative of -x**11/1247400 - x**10/378000 - x**9/453600 - 11*x**5/60 + 10*x**2. Let m(d) be the third derivative of c(d). Factor m(n).
-2*n**3*(n + 1)*(2*n + 1)/15
Factor -3/5*b**4 - 48/5*b**3 - 243/5 + 432/5*b - 138/5*b**2.
-3*(b - 1)**2*(b + 9)**2/5
Let f(x) = 2*x**3 + 2*x**2 + x - 1. Let r = 72 - 71. Let g(h) = h**4 + h**3 - h + 1. Let i(q) = r*f(q) + g(q). Let i(y) = 0. Calculate y.
-2, -1, 0
Let p be 3 - 6 - (-3 - 36). Suppose 0 = -h + 4, d - 3*h = 5*d - p. Factor -d*m**3 - 2*m**3 - 3*m**3 + 9*m**3 + 4*m**2.
-2*m**2*(m - 2)
Let v = 2908 - 2908. Determine p so that v + 1/8*p**2 + 1/4*p = 0.
-2, 0
Let s**4 + 7279 - 3653 + 87*s**2 - 89*s**3 - 3714 + 89*s = 0. What is s?
-1, 1, 88
Let d(u) = -4*u**5 - 4*u**4 + 4*u**2 + 4*u - 4. Let h(j) = -4*j**5 - 4*j**4 + j**3 + 4*j**2 + 3*j - 3. Let s(r) = 3*d(r) - 4*h(r). Factor s(t).
4*t**2*(t - 1)*(t + 1)**2
Let x be (148/(-296))/((-1)/8). Let r(v) be the first derivative of 0*v - 2/9*v**2 - x - 2/9*v**3 - 1/18*v**4. Factor r(h).
-2*h*(h + 1)*(h + 2)/9
Let f = 45 + -32. Let w(r) = 4*r - 42. Let q be w(f). Factor 0 - 22/3*t**4 + q*t**3 + 2*t**5 - 6*t**2 + 4/3*t.
2*t*(t - 1)**3*(3*t - 2)/3
Let m(t) be the first derivative of 2*t**6/5 + 4*t**5/5 - t**4/3 - 4*t**3/3 + 30*t + 11. Let y(i) be the first derivative of m(i). Factor y(b).
4*b*(b + 1)**2*(3*b - 2)
Suppose -m - 2*y + 2 = 0, 22 - 17 = 3*m + 5*y. Let w(t) be the third derivative of -1/300*t**5 + 0*t**3 + 0*t**4 + m + t**2 + 0*t. Factor w(n).
-n**2/5
Let x(o) = 2*o**4 - 20*o**3 + 26*o**2 - 16*o + 8. Let c(n) = n**3 - n. Let w(y) = 8*c(y) + x(y). Solve w(b) = 0 for b.
1, 2
Let i(j) be the third derivative of j**7/1575 + j**6/180 + 4*j**5/225 + j**4/45 - 144*j**2. Solve i(z) = 0 for z.
-2, -1, 0
Let o(m) be the first derivative of 0*m - 1/18*m**6 - 2/3*m**3 - 4/15*m**5 + 11/12*m**4 + 0*m**2 + 32. Let o(s) = 0. Calculate s.
-6, 0, 1
Let x be (-2 - -5)*135/81. Let k(f) be the third derivative of 8*f**2 + 0 - 3/40*f**x + 0*f - 1/3*f**3 + 1/4*f**4. Factor k(q).
-(3*q - 2)**2/2
Let n be (28/(-84))/(2/84). Let c be n/(-12) + (-3)/(-9). Find z such that 9*z + 27/2 + c*z**2 = 0.
-3
Let c(a) = 19*a**3 + 74*a**2 + 41*a - 16. Let x(o) = 8 + 3*o - 2*o - o**3 - 9 - o**2. Let u(m) = c(m) - x(m). Factor u(r).
5*(r + 1)*(r + 3)*(4*r - 1)
Let h be -1*(2 - 8)/18*(-2)/(-4). Solve 5/6*s + h*s**2 + 0 = 0 for s.
-5, 0
Let i(j) be the second derivative of 0 + 1/8*j**4 + 3/160*j**5 + 0*j**2 - 2*j - 1/80*j**6 - 1/4*j**3. Solve i(d) = 0.
-2, 0, 1, 2
Let x(b) be the third derivative of b**6/90 + 4*b**5/45 - 5*b**4/18 + 21*b**2. Factor x(h).
4*h*(h - 1)*(h + 5)/3
Suppose 403 = 316*z - 545. Factor 0*t - 2/9*t**4 + 2/9*t**z + 0*t**2 + 0.
-2*t**3*(t - 1)/9
Let k(b) be the first derivative of 2*b**5/85 - 3*b**4/17 - 22*b**3/51 + 60*b**2/17 + 200*b/17 + 387. Factor k(l).
2*(l - 5)**2*(l + 2)**2/17
Let t(c) be the second derivative of c**5/4 + 2*c**4/3 - 2*c**3/3 - c + 20. Find j, given that t(j) = 0.
-2, 0, 2/5
Suppose 0 = 5*m + 33 - 103. Factor m*q**4 - q**5 + 14*q**3 + 3*q**5 - 12*q**3 - 10*q**4.
2*q**3*(q + 1)**2
Let a(p) be the third derivative of -10*p**2 + 2*p**3 + 0*p - 1/540*p**5 - 1/3240*p**6 + 0*p**4 + 0. Let q(z) be the first derivative of a(z). Factor q(i).
-i*(i + 2)/9
Suppose -u + c = 4, 14*u = 13*u + 5*c - 20. Let r(p) be the third derivative of 0*p**3 - 1/140*p**5 + u + 0*p - p**2 - 1/280*p**6 + 0*p**4. Factor r(a).
-3*a**2*(a + 1)/7
Let c be (-234)/(-702)*((-6)/(-5) - 0). Let a(m) be the first derivative of 0*m - 2*m**3 - 5/2*m**4 - c*m**5 - 8 + 9*m**2. Let a(z) = 0. Calculate z.
-3, 0, 1