+ 0*u**3 - 10/7*u**5.
-2*u**4*(5*u - 2)/7
Let r(z) = z**2 + 24*z - 25. Let l be r(1). Let a(y) be the first derivative of -7 - 1/6*y**6 - y**5 + 0*y - 4/3*y**3 + l*y**2 - 2*y**4. Solve a(o) = 0 for o.
-2, -1, 0
Suppose 0 = -22*g + 1128 - 1062. Determine z, given that 1/3*z**4 + 0*z + 0 + 1/3*z**2 - 2/3*z**g = 0.
0, 1
Let k(b) be the first derivative of -1/6*b**4 - 2/3*b**3 + 18 + 0*b - 1/9*b**6 + 2/3*b**2 + 2/5*b**5. Solve k(w) = 0 for w.
-1, 0, 1, 2
Factor 4162 + 2*j**2 - 2108 + 50*j - 2106.
2*(j - 1)*(j + 26)
Let k = -670009/50 + 26811/2. Let m = k + -13/25. Let -8/5 - 6/5*y**2 + m*y - 2*y**3 = 0. What is y?
-2, 2/5, 1
Let s(m) = -8*m**4 + 56*m**3 - 84*m**2 - 320*m - 188. Let z(n) = -n**4 + 2*n**3 + 2*n + 1. Let p(t) = s(t) - 4*z(t). Suppose p(h) = 0. What is h?
-1, 6, 8
Let d(b) = -88*b + 266. Let z be d(3). Let 2/7*o**3 + 0 - 4/7*o**z + 2/7*o = 0. Calculate o.
0, 1
Let l(b) be the third derivative of b**8/1176 + 8*b**7/735 + 5*b**6/84 + 19*b**5/105 + b**4/3 + 8*b**3/21 - 139*b**2. Determine k so that l(k) = 0.
-2, -1
Let x(t) be the third derivative of -t**5/160 + 3*t**4/64 + 35*t**3/8 + 547*t**2. Solve x(c) = 0.
-7, 10
Let c = 2023 + -2021. Let 1/2*d**c - 2*d + 0 = 0. Calculate d.
0, 4
Let z(k) be the third derivative of k**8/560 + k**7/280 - k**6/20 - k**5/10 + k**4 + 7*k**3/6 + 15*k**2. Let t(j) be the first derivative of z(j). Factor t(c).
3*(c - 2)*(c - 1)*(c + 2)**2
Let y(j) = -j**2 - 5*j - 12. Let l be y(-4). Let w be l/40*(-5)/2. Solve w*i**2 + 0*i + 1/2*i**5 - 1/2*i**3 + 0 - 1/2*i**4 = 0 for i.
-1, 0, 1
Let a(m) = -6*m**4 + 446*m**3 - 10944*m**2 + 86262*m + 62500. Let y(r) = -r**2 - 2*r. Let w(h) = 2*a(h) + 12*y(h). Factor w(s).
-4*(s - 25)**3*(3*s + 2)
Let b(o) be the first derivative of -o**5/30 + o**4/2 + 13*o**3/18 - 206. Let b(a) = 0. What is a?
-1, 0, 13
Suppose -301*u + 315*u - 56 = 0. Solve 0 + 2*t + 5/2*t**u + 3/2*t**3 - 6*t**2 = 0.
-2, 0, 2/5, 1
Let d be (704/120 - 6)/(8/(-35)). Let o(r) be the second derivative of d*r**3 - 1/4*r**2 - 5/8*r**4 + 13/40*r**5 - 1/15*r**6 + 0 + 3*r. Factor o(l).
-(l - 1)**3*(4*l - 1)/2
Let z = -2/27 + 35/108. Factor 1/2 - 1/4*k**2 + z*k.
-(k - 2)*(k + 1)/4
Let m(w) be the second derivative of -3/2*w**4 + 0 + 0*w**3 + 3/4*w**5 - 1/10*w**6 + 17*w + 0*w**2. Determine k, given that m(k) = 0.
0, 2, 3
Let l = -408 + 4897/12. Let d(p) be the first derivative of 1/9*p**3 + 0*p + l*p**4 + 2 + 0*p**2. Find y, given that d(y) = 0.
-1, 0
Let v(u) be the first derivative of -u**6/15 + 6*u**5/25 + 7*u**4/10 - 22*u**3/15 - 6*u**2/5 + 16*u/5 + 379. Suppose v(c) = 0. Calculate c.
-2, -1, 1, 4
Let h(n) be the first derivative of 0*n**2 + 0*n - 2*n**5 - 11 - 1/2*n**6 - 7/3*n**4 - 8/9*n**3. Factor h(p).
-p**2*(p + 2)*(3*p + 2)**2/3
Let s(y) be the third derivative of y**5/390 + y**4/52 - 6*y**3/13 - 39*y**2 + 3*y. Factor s(f).
2*(f - 3)*(f + 6)/13
Suppose -7*y + y = y. Let l(t) be the first derivative of y*t + 4 - 3/4*t**2 - 1/6*t**3. Find z such that l(z) = 0.
-3, 0
Suppose -3*a + 78 = 2*j - 7*j, 130 = 5*a - j. Let r = a - 18. Factor -r*g + 8*g - 4*g**2.
-4*g**2
Let w(b) be the first derivative of -5*b**3/3 + 40*b**2 - 300*b - 826. Suppose w(c) = 0. What is c?
6, 10
Suppose -2*a - 2 = -3*u, a = 5*u - 38 + 23. Factor 3/7*b**3 + 1/7*b**u - 3/7*b - 2/7 + 1/7*b**2.
(b - 1)*(b + 1)**2*(b + 2)/7
Let g(o) be the third derivative of o**7/14 + 7*o**6/24 - 7*o**5/12 - 5*o**4/8 - 36*o**2 - 1. Solve g(b) = 0.
-3, -1/3, 0, 1
Suppose 12 + 8 = 4*r. Factor -20*b + 7*b**2 - 24 - 6*b**2 - r*b**2.
-4*(b + 2)*(b + 3)
Factor 20/3 + 2/9*a**2 + 62/9*a.
2*(a + 1)*(a + 30)/9
Let p(o) be the second derivative of -10/21*o**3 + 0 + 3/7*o**4 - 4/7*o**2 - 2/15*o**6 + 1/7*o**5 - 10*o. Suppose p(a) = 0. What is a?
-1, -2/7, 1
What is w in 2*w**5 + 28/9*w**2 + 2/9 - 14/9*w - 4/9*w**3 - 10/3*w**4 = 0?
-1, 1/3, 1
Let w be -326 - -329 - (-3)/(1 + -2). Factor w*j**3 + 0 - 1/2*j**5 + 1/2*j + j**4 - j**2.
-j*(j - 1)**3*(j + 1)/2
What is v in 0*v**5 - 4*v**4 - 28*v**3 + 9*v + 4*v**5 + 0*v**5 - 26*v + 41*v + 4*v**2 = 0?
-2, -1, 0, 1, 3
Let p(f) be the third derivative of -f**5/270 - 2*f**4/9 - 77*f**2. Factor p(c).
-2*c*(c + 24)/9
Let u = 820 - 818. Let l(r) be the second derivative of 3/20*r**6 - 1/28*r**7 - 3/20*r**5 + 9*r + 0 - 1/4*r**4 - 3/4*r**u + 3/4*r**3. Factor l(y).
-3*(y - 1)**4*(y + 1)/2
Let w(n) be the first derivative of n**6/9 + 2*n**5/15 - 5*n**4/6 - 10*n**3/9 + 4*n**2/3 + 8*n/3 - 134. Solve w(k) = 0 for k.
-2, -1, 1, 2
Determine d so that d**2 + 2460 - 800 - 10*d - 826 - 809 = 0.
5
Let i(x) be the second derivative of x**8/168 - x**6/60 - 4*x**2 - 14*x. Let f(g) be the first derivative of i(g). Let f(m) = 0. Calculate m.
-1, 0, 1
Let o(k) = 6*k**2 - k. Let l(p) = -10*p**2 + 58*p + 392. Let i(x) = l(x) + 2*o(x). Suppose i(f) = 0. What is f?
-14
Let j = -8 - -13. Suppose -o + 3*l + 8 = -0*l, 4*l = -j*o + 2. What is t in 6 - t**2 + 4*t**o + 8*t - t**2 = 0?
-3, -1
Let w be (-5 - 2)*(-132)/154. Let x(k) be the second derivative of -1/5*k**5 + 0 + 5*k + 1/2*k**3 + 1/42*k**7 + 1/6*k**4 + 0*k**w - k**2. What is i in x(i) = 0?
-2, -1, 1
Determine x, given that 18*x**2 - 289 + 34*x + 6*x**2 - 25*x**2 = 0.
17
Suppose 0 = -5*m - n + 10 + 5, 0 = -m - 5*n + 27. Factor 6*z + 2 - 7/2*z**m.
-(z - 2)*(7*z + 2)/2
Let f(a) = -3*a**4 + 4*a**3 - 4*a. Suppose k = 4*k + 15, q = -k + 32. Let r = -41 + q. Let w(j) = -j**4 + j**3 - j. Let t(c) = r*w(c) + f(c). Factor t(y).
y**4
Let t(z) be the first derivative of z**5/20 + z**4/8 - z**3/4 - z**2 - z + 22. Let t(b) = 0. Calculate b.
-2, -1, 2
Let f be 2 + (2/8)/((-2)/(-8)). Let u(a) be the third derivative of 0*a - 1/210*a**5 - 4*a**2 + 0 - 1/21*a**f + 1/42*a**4. Solve u(c) = 0 for c.
1
Let i be 2 + -16*5/45. Let r(u) be the first derivative of -4 + i*u**2 - 2/9*u - 2/27*u**3. Suppose r(m) = 0. What is m?
1
Let w(m) be the second derivative of 0 + 11/3*m**3 - 121/48*m**4 + 35*m - 2*m**2. Factor w(n).
-(11*n - 4)**2/4
Let d(y) = 7*y**4 + 13*y**3 + 151*y**2 - 9*y - 27. Let q(f) = f**4 + f**3 - f**2 - f - 3. Let c(r) = 2*d(r) - 18*q(r). Determine m so that c(m) = 0.
-8, 0, 10
Let p(y) = y**4 - 19*y**3 + 20*y + 4. Let f(t) = -10*t**4 + 210*t**3 - 220*t - 45. Let r(z) = -4*f(z) - 45*p(z). Let r(c) = 0. What is c?
-1, 0, 2
Let u = 11 + -20. Let j(t) = -t**3 - 10*t**2 - 8*t + 12. Let d be j(u). Determine g so that -5*g**4 + 20*g - 5 + 15*g**3 + 44*g**2 - 74*g**2 + 5*g**d = 0.
1
Let u be 4/28 + 13/7. Factor -4/9*b**3 + 2/9 + 2/3*b - 2/3*b**4 + 4/9*b**u - 2/9*b**5.
-2*(b - 1)*(b + 1)**4/9
Let b(p) be the first derivative of -2*p**3/3 - 292*p**2 - 42632*p + 290. Factor b(g).
-2*(g + 146)**2
Let u(o) = -o**2 + o + 1. Let g(x) = -2*x**3 - 2*x**2 + 4*x + 6. Let q = 2 - 4. Let p be (2/q)/((-7)/(-42)). Let m(l) = p*u(l) + g(l). Factor m(b).
-2*b*(b - 1)**2
Let r(y) = -y**2 - 1. Let h = 91 + -90. Let m(p) = 12*p**2 - 16*p + 8. Let f(x) = h*m(x) + 8*r(x). Factor f(k).
4*k*(k - 4)
Factor 40/7*k + 400/7 + 1/7*k**2.
(k + 20)**2/7
Solve 432 + 433*n**2 - 181*n**2 + 95801*n**3 + 2*n**4 - 95763*n**3 + 648*n = 0 for n.
-6, -1
Let v = -2944/3 + 982. Let h(s) be the first derivative of -v*s**3 + 0*s**2 + 0*s - 8. Let h(l) = 0. Calculate l.
0
Let y = -63 - -91. Let j = y - 29. Let k(z) = -z**2 + z. Let t(l) = 7*l**2 - 3*l - 16. Let n(o) = j*t(o) - 3*k(o). Factor n(g).
-4*(g - 2)*(g + 2)
Let y be (-1)/(0 + (-1 - -2)). Let m be 7/14 - y/(-2). Find l, given that 2/3*l + m - 2/3*l**2 = 0.
0, 1
Let f(l) be the first derivative of 5/2*l**2 - 10/3*l**3 + 10*l - 23 - 5/4*l**4. Let f(q) = 0. Calculate q.
-2, -1, 1
Let i(n) = -54*n**4 + 15*n**3 + 96*n**2 - 60*n + 24. Let h(x) = 11*x**4 - 3*x**3 - 19*x**2 + 12*x - 5. Let j(g) = -24*h(g) - 5*i(g). Find s such that j(s) = 0.
-2, 0, 1/2, 2
Let 0 + 128/13*o + 2/13*o**2 = 0. Calculate o.
-64, 0
Find k, given that -2*k**2 + k - k**3 + 13*k**2 - 1 - 6*k**2 - 4*k**2 = 0.
-1, 1
Let o = 646/11 - 929/22. Determine n so that -3*n**3 + 0 + o*n**2 - 33/2*n**4 + 3*n = 0.
-1, -2/11, 0, 1
Suppose 14*l - 5*q - 13 = 15*l, 4*l + 5*q = 8. Let g(i) be the second derivative of -3/14*i**2 - 1/7*i**3 - 1/28*i**4 + 0 + l*i. Factor g(p).
-3*(p + 1)**2/7
Determine u, given that -6/7*u**3 + 0 + 8/7*u - 8/7*u**2 = 0.
-2, 0, 2/3
Let 114*v**3 - 19*v**2 + 8*v + 164*v**5 - 67*v**2 - 43*v**5 + 319*v**4 + 10*v**2 = 0. Calculate v.