ive of -8*q**3 + q**2 + 0 + 0*q + v*q**6 - 3/20*q**5 + 3/2*q**4. Solve j(o) = 0 for o.
4
Let x = 8738/831 + 42/277. Factor -2*f**2 + x*f**4 + 1/3*f + 0 + 0*f**3.
f*(2*f + 1)*(4*f - 1)**2/3
Let k = -455 - -3189/7. Let q(z) be the first derivative of -3/35*z**5 + 6/7*z**2 - 1/42*z**6 + 11/21*z**3 + 1 + k*z + 1/28*z**4. Find x such that q(x) = 0.
-2, -1, 2
Let d be ((-544)/680)/(1/(-5)). Let r(u) be the first derivative of -1/6*u**d - 2/9*u**3 + 2/3*u**2 - 13 + 0*u. Suppose r(g) = 0. Calculate g.
-2, 0, 1
Let u(o) be the second derivative of 2*o**5/5 + 17*o**4/12 + 5*o**3/3 + o**2/2 + 44*o. Factor u(x).
(x + 1)**2*(8*x + 1)
Let s(n) = 3*n**2 + 166*n + 148. Let h(j) = -15*j**2 - 831*j - 744. Let y(i) = -5*h(i) - 24*s(i). Let y(r) = 0. What is r?
-56, -1
Let m = -1066333/235725 - 2/11225. Let f = -27/7 - m. Factor -2/3 + f*s**2 - 4/3*s**3 + s + 1/3*s**5 + 0*s**4.
(s - 1)**3*(s + 1)*(s + 2)/3
Suppose 9 = -3*s + 6*s - 3*j, 5*j = -3*s - 15. Let o(r) be the second derivative of 3*r + s - 1/2*r**2 - 1/12*r**4 + 1/3*r**3. Factor o(c).
-(c - 1)**2
Let d(b) = b - 10. Let m be d(13). Determine u so that u**4 + 13*u**5 + 9*u**3 + 8*u**4 + m*u**2 - 10*u**5 = 0.
-1, 0
Let s = 14 - 14. Suppose 3*f = -s + 6. Suppose 8*j + 4*j**4 - 8*j**3 - 4*j**f + 0*j**2 + j**4 - 2 + j**4 = 0. Calculate j.
-1, 1/3, 1
Let a(d) = 75*d**2 + 470*d - 150. Let r(s) = 38*s**2 + 235*s - 76. Let m(x) = -3*a(x) + 5*r(x). Factor m(f).
-5*(f + 7)*(7*f - 2)
Let u = -42 + 2. Let o be (1 - u/18) + 24 + -27. Let 2/9*a + 4/9 - o*a**2 = 0. What is a?
-1, 2
Let f be -12*(1430/(-117) + 12). Find x, given that -1/3*x**2 + f*x - 16/3 = 0.
4
Let c = -21 + 27. What is y in -8 + 15*y**2 - c*y - 15 + 14 = 0?
-3/5, 1
Factor 82/5*g**2 - 82/5 + 2/5*g**3 - 2/5*g.
2*(g - 1)*(g + 1)*(g + 41)/5
Factor 264*w - 3*w**3 - 124*w - 36*w**2 - 101*w.
-3*w*(w - 1)*(w + 13)
Let b(c) = -c**3 - 11*c**2 - 12*c + 10. Let i be b(-10). Let p = 34 - i. Factor -4/9*v**5 - 16/9*v + 8/3*v**p - 52/9*v**3 + 16/3*v**2 + 0.
-4*v*(v - 2)**2*(v - 1)**2/9
Let v = -302 - -3324/11. Suppose 5*j - 7 + 1 = -3*y, -5*y = -5*j - 10. Solve 0*i**y + 0 - 2/11*i + v*i**3 = 0 for i.
-1, 0, 1
Factor -42*r - 10 - 4*r**3 + r**3 - 3*r**3 - 38*r**2.
-2*(r + 1)*(r + 5)*(3*r + 1)
Factor 0 - 22/9*k**4 - 2*k**5 - 4/9*k**3 + 0*k**2 + 0*k.
-2*k**3*(k + 1)*(9*k + 2)/9
Factor 2/3*r**2 + 10/3*r - 4.
2*(r - 1)*(r + 6)/3
Let l(i) be the second derivative of -1/10*i**5 + 18*i + 0*i**2 + 0 - 1/6*i**4 + 1/21*i**7 + 1/15*i**6 + 0*i**3. Let l(u) = 0. What is u?
-1, 0, 1
Let m(w) be the first derivative of w**3/9 - 10*w**2/3 + 100*w/3 + 84. Find d, given that m(d) = 0.
10
Let p = -5/19 + 29/38. Determine i so that -1/4*i + 1/4*i**4 + p - 3/4*i**2 + 1/4*i**3 = 0.
-2, -1, 1
Let y(b) = 18*b + 182. Let m be y(-10). Find a, given that 8/9 - 2/3*a**m + 2/9*a**3 + 0*a = 0.
-1, 2
Let j(t) be the third derivative of -t**6/120 + 27*t**5/20 - 729*t**4/8 + 6561*t**3/2 + 7*t**2 - 9. Factor j(z).
-(z - 27)**3
Suppose -60 = -18*r + 12*r. Let l be 2 - (-7)/(35/r). Factor 0 - t**3 - t**2 - 1/3*t - 1/3*t**l.
-t*(t + 1)**3/3
Let h(r) = 1. Suppose -4 = -5*v - 9. Let a(j) = 25*j**2 + 35*j + 8. Let x(s) = v*a(s) - 2*h(s). Factor x(l).
-5*(l + 1)*(5*l + 2)
Let q(k) = -9*k**3 + 22*k**2 - 11*k - 8. Suppose 5*t = 7*t + 2. Let n(a) = a**2 + a + 1. Let m(c) = t*q(c) - 2*n(c). Factor m(h).
3*(h - 2)*(h - 1)*(3*h + 1)
Let q(z) be the first derivative of 0*z - z**2 - z**4 + z**6 - 8/5*z**5 - 18 + 8/3*z**3. Suppose q(a) = 0. Calculate a.
-1, 0, 1/3, 1
Find o such that 2*o**3 + 36/11*o - 2/11*o**5 + 0 - 6*o**2 + 10/11*o**4 = 0.
-3, 0, 1, 6
Factor -3*g**3 - 13*g + 72 - 12*g + 81*g - 23*g - 18*g**2 - 21*g.
-3*(g - 2)*(g + 2)*(g + 6)
Suppose 2*h - 11 = -7. Determine s so that 34 + 30 + 144*s - 288*s**h - 16 - 27*s**4 + 156*s**3 = 0.
-2/9, 2
Let r(f) = f**3 - 1. Let x(i) = -12*i**5 - 489*i**4 - 4659*i**3 + 6489*i**2 - 1323*i - 6. Let v(l) = 6*r(l) - x(l). Solve v(c) = 0.
-21, 0, 1/4, 1
Let z(g) be the third derivative of g**6/600 + 3*g**5/100 + 3*g**4/20 + 189*g**2. Suppose z(n) = 0. Calculate n.
-6, -3, 0
Let x be ((-63)/36)/(1/(-8)). Let a = -12 + x. Factor 6*c**2 + 2*c**a + 47*c**3 - 51*c**3.
-4*c**2*(c - 2)
Let o(i) = -i**2 + i + 3. Let z(a) = 13*a**2 + 15*a + 5. Let q(s) = -3*o(s) + z(s). Let q(r) = 0. Calculate r.
-1, 1/4
Let d = 3/233 - -152/6291. Let k(u) be the first derivative of -d*u**6 + 12 + 2/15*u**5 - 1/9*u**4 + 0*u**2 + 0*u**3 + 0*u. Factor k(a).
-2*a**3*(a - 2)*(a - 1)/9
Let s(x) be the first derivative of -11*x**3/15 - 9*x**2/10 + 4*x - 124. Let s(w) = 0. Calculate w.
-20/11, 1
Solve -2*d**2 - 2/5*d**4 + 12/5*d**3 + 0 + 0*d = 0 for d.
0, 1, 5
Let x(z) be the third derivative of z**5/300 + 7*z**4/120 - 4*z**3/15 + z**2 + 10*z. Let x(t) = 0. What is t?
-8, 1
Let x(a) be the first derivative of a**4/24 + a**3/3 + 5*a**2/12 + 73. Factor x(q).
q*(q + 1)*(q + 5)/6
Let b(s) = 2*s**4 - 10*s**3 + 2*s**2 - 6*s + 2. Let i(f) = -f**2 + f. Let v(a) = 2*b(a) + 12*i(a). Let x(y) be the first derivative of v(y). Factor x(q).
4*q*(q - 4)*(4*q + 1)
Let n(t) be the second derivative of -2*t**8/63 - 8*t**7/105 - t**6/20 - t**5/90 + 6*t**2 + 4*t. Let v(u) be the first derivative of n(u). Factor v(l).
-2*l**2*(l + 1)*(4*l + 1)**2/3
Let d(i) be the first derivative of -11/9*i**2 - 10/9*i - 4/27*i**3 - 14 + 14/45*i**5 + 1/27*i**6 + 5/9*i**4. Factor d(h).
2*(h - 1)*(h + 1)**3*(h + 5)/9
Let l(y) be the second derivative of 0 + 7/6*y**4 - 2/3*y**3 + 0*y**2 + 8*y. Factor l(h).
2*h*(7*h - 2)
Let j(z) = -6*z**2 + 179*z + 34. Let c be j(30). Let d = -51/10 + 33/5. Let -3/2*r + 3/2*r**2 + 0 - d*r**c + 3/2*r**3 = 0. Calculate r.
-1, 0, 1
Let f(d) be the third derivative of -1/8*d**4 + 0*d + 2/3*d**3 - 1/60*d**5 + 11*d**2 + 0. Determine g so that f(g) = 0.
-4, 1
Let l(p) be the second derivative of p**4/30 + p**3/15 + 34*p. Determine c so that l(c) = 0.
-1, 0
Let s(o) = -20*o**2 - 436*o - 432. Let g(p) = 13*p**2 + 291*p + 288. Let f(n) = 8*g(n) + 5*s(n). Suppose f(u) = 0. Calculate u.
-36, -1
Let n(j) be the first derivative of -j**7/210 + j**6/30 - j**5/30 - j**4/6 + j**3/2 - 11*j**2/2 + 6. Let p(y) be the second derivative of n(y). Factor p(s).
-(s - 3)*(s - 1)**2*(s + 1)
Let h(q) = q + 21. Let b be h(-18). Suppose -5 = -5*i + 2*c + 12, 3 = -b*c. Find j such that 4*j**5 - 6*j**4 + j**i + 3*j**3 - j**4 - j**4 = 0.
0, 1
Factor 96/5*p**2 + 8*p**3 + 4/5*p**4 + 88/5*p + 28/5.
4*(p + 1)**3*(p + 7)/5
Let v(s) = s**3 - 22*s**2 + 22*s - 18. Let d be v(21). Suppose d*w = 8*w - 0*w. Determine t, given that -1/2*t + w - 1/2*t**2 = 0.
-1, 0
Let o(q) = 6*q**3 + 34*q**2 + 108*q + 110. Let g = -6 - -9. Let i(y) = 7*y**3 + 33*y**2 + 108*y + 111. Let m(c) = g*o(c) - 2*i(c). Factor m(d).
4*(d + 3)**3
Let t(i) = 6*i**2 - i. Let l(h) be the third derivative of -h**5/60 + 9*h**2. Let b(p) = -3*l(p) - t(p). Let b(m) = 0. Calculate m.
0, 1/3
Let z(t) = 5*t**3 + 73*t**2 + 652*t + 584. Let c(d) = 14*d**3 + 218*d**2 + 1954*d + 1750. Let k(n) = -3*c(n) + 8*z(n). Factor k(r).
-2*(r + 1)*(r + 17)**2
Let c(s) = 2*s + 52. Let u be c(-24). Suppose 4/11*g**2 + 2/11*g**u + 6/11*g**3 + 0*g + 0 = 0. Calculate g.
-2, -1, 0
Suppose 5*y + 2 = -2*s, 7*y = -3*s + 9*y + 16. Suppose 1544 + 9*c**s + 49*c**2 + 20*c**2 - 1532 - 42*c**3 - 48*c = 0. Calculate c.
2/3, 1, 2
Let v(d) be the third derivative of -d**7/1008 + d**6/1080 + d**5/144 - d**4/72 - 8*d**3/3 - 20*d**2. Let j(w) be the first derivative of v(w). Factor j(k).
-(k - 1)*(k + 1)*(5*k - 2)/6
Suppose -85*r + 76*r = -36. Let v(c) be the first derivative of 1/3*c**2 + 2/27*c**3 - 1/6*c**4 - 2/9*c + r. Factor v(n).
-2*(n - 1)*(n + 1)*(3*n - 1)/9
Let t(q) = 19*q**3 + 2*q**2 + q - 1. Let h be t(1). Solve 0*j**3 - 5*j**3 + 20 + 6*j**2 - h*j**2 = 0.
-2, 1
Suppose -9*a + 11*a = 4. Factor 17*c + 10*c**3 - 5 - 14*c**2 + c - 11*c**a + 2*c.
5*(c - 1)**2*(2*c - 1)
Factor -20 + 1/2*i**2 + 39/2*i.
(i - 1)*(i + 40)/2
Suppose 4*g - 1 = 19. Let l(f) = f**4 - 7*f**3 + f**2 + 5. Let p(o) = 3*o**3 - 3. Let k(b) = g*p(b) + 3*l(b). Factor k(j).
3*j**2*(j - 1)**2
Let r(q) = -30*q**4 + 24*q**3 + 9*q**2 + 3*q. Let s(z) = z**4 - z**3 - z**2 - z. Let v(a) = -r(a) - 3*s(a). Solve v(g) = 0.
-2/9, 0, 1
Let w(r) be the third derivative of -2*r**7/49 + 53*r**6/30 - 2047*r**5/105 - 3055*r**4/42 - 676*r**3/7 - 424*r**2. Solve w(p) = 0 f