e o.
0, 2/5, 2
Let u be (-6)/28*(-28)/21. Let r(b) be the first derivative of -1/7*b**4 + 2/35*b**5 + 0*b**3 + 2/7*b**2 + 3 - u*b. Solve r(m) = 0 for m.
-1, 1
Let i(k) = k**3 + 6*k**2 - 8*k - 5. Let n be i(-7). Find l, given that l**3 + 1/2 - l - 1/2*l**n = 0.
-1, 1/2, 1
Let s be (3/(-6))/(5*(-3)/2). Let k(r) be the second derivative of -3*r + 3/10*r**5 + 2*r**2 - r**3 - s*r**6 - 1/6*r**4 + 0. Factor k(j).
-2*(j - 2)*(j - 1)**2*(j + 1)
Suppose -l + 1 = -2*t - 0, -5*l + 19 = -3*t. Suppose 7*m = t*m. Solve 2/7*x**3 - 2/7*x + m*x**2 + 0 = 0.
-1, 0, 1
Factor 60*f - 24*f**2 + 58 + 392 + 26*f**2.
2*(f + 15)**2
Let z(w) be the first derivative of -2*w**3/21 + 8*w/7 - 2. Suppose z(q) = 0. Calculate q.
-2, 2
Let j(z) = 2*z**2 + 3*z - 5. Let f(x) = 5*x**2 + 6*x - 11. Let c(g) = 3*f(g) - 7*j(g). Factor c(q).
(q - 2)*(q - 1)
Let i be (-1)/2 - 65/(-78). Factor 1/3 - i*r**2 + 0*r.
-(r - 1)*(r + 1)/3
Let c(l) be the second derivative of l**4/12 - 5*l**3/24 + l**2/8 + 39*l. Suppose c(g) = 0. What is g?
1/4, 1
Factor -1/5*u**2 + 0*u + 0.
-u**2/5
Suppose -1 - 4*f**2 - 3/2*f**3 - 7/2*f = 0. What is f?
-1, -2/3
Solve 13*d**3 - 4*d**4 + d**2 + 0*d**2 - 5*d**2 - 5*d**3 = 0.
0, 1
Let r(i) be the first derivative of -i**4/4 + i**3 - 4*i - 3. Factor r(q).
-(q - 2)**2*(q + 1)
Let v(w) be the first derivative of -w**3/4 + 5*w**2/8 + w/2 + 14. Let v(h) = 0. What is h?
-1/3, 2
Let v = 9 + -6. Let x(o) be the first derivative of -4*o - 3 + o**2 + 2/3*o**v. Factor x(r).
2*(r - 1)*(r + 2)
Let h be (-6)/(-33) - (-4)/462. Let r(d) be the first derivative of -1/7*d**2 - 2 - h*d**3 - 1/14*d**4 + 0*d. Find o such that r(o) = 0.
-1, 0
Let m(f) = -4*f**4 - 12*f**3 - 16*f**2 - 4. Let c(h) = -4*h**4 - 12*h**3 - 17*h**2 + h - 5. Let k(v) = 4*c(v) - 5*m(v). Find g such that k(g) = 0.
-1, 0
Let d(a) be the third derivative of -a**7/10080 + a**6/720 - a**5/120 - a**4/6 - 3*a**2. Let x(o) be the second derivative of d(o). Solve x(t) = 0.
2
Let d = -8 + 35/4. Let o = -16 + 16. Determine i so that -d*i**4 + 3/2*i**3 - 3/4*i**2 + o + 0*i = 0.
0, 1
Suppose 11*o = 5*o + 42. Let u = -4 + o. Factor -4/7*m**4 - 2*m**u - 10/7*m - 2/7 - 18/7*m**2.
-2*(m + 1)**3*(2*m + 1)/7
Let v be 5 + -10*(-4)/(-8). Let v - 1/2*m**4 + 2*m**3 + m - 5/2*m**2 = 0. Calculate m.
0, 1, 2
Let b(a) be the third derivative of a**7/14 + a**6/6 + a**5/12 - 11*a**2. Determine j so that b(j) = 0.
-1, -1/3, 0
Let j be 0*(2 - 5/2). Find a, given that -a**4 - 3*a**3 + 3 - 3*a**2 + j*a**2 - a - 3 = 0.
-1, 0
Suppose -2*w + 3*q = -4, -40 = -4*w - 4*q - 12. Let z = w + -2. Factor 0 + 1/4*c + 0*c**2 - 1/4*c**z.
-c*(c - 1)*(c + 1)/4
Suppose -17*o = -5*o - 9*o. Suppose -2*n - 3*w - 8 = 0, 5*w + 22 = -2*n + 3*n. Solve o - 1/4*k**n + 1/4*k = 0.
0, 1
Let t(o) be the third derivative of -o**6/280 - o**5/35 - 5*o**4/56 - o**3/7 + 14*o**2. Factor t(s).
-3*(s + 1)**2*(s + 2)/7
Let u(n) = -3*n**2 + 13*n - 25. Let p(a) = -2*a**2 + 6*a - 13. Let b(d) = 5*p(d) - 3*u(d). Factor b(m).
-(m - 1)*(m + 10)
Let f(h) = h**2 - 26*h - 35. Let t(j) = -j**2 + j. Let r(c) = f(c) - 4*t(c). Suppose r(i) = 0. What is i?
-1, 7
Let s be 4/14 - 4/14. Let c(v) be the first derivative of 2 + s*v + 2/21*v**3 - 1/21*v**6 + 1/14*v**4 + 0*v**2 - 2/35*v**5. Factor c(u).
-2*u**2*(u - 1)*(u + 1)**2/7
Let q = 22 + -20. Let s(i) be the third derivative of 0*i + 5/3*i**4 + 8/3*i**3 + 1/20*i**6 + 7/15*i**5 + 0 - 2*i**q. Let s(z) = 0. What is z?
-2, -2/3
Suppose 0 = 4*u - 12*u + 40. Let i(j) be the third derivative of 0*j - 4/3*j**4 - 2*j**2 - 77/60*j**u - 49/120*j**6 - 2/3*j**3 + 0. Solve i(c) = 0 for c.
-1, -2/7
Factor 2/21*f**2 + 10/21*f + 8/21.
2*(f + 1)*(f + 4)/21
Let l(a) = -a**4 + 2*a**3 + 4*a**2 - 4*a + 4. Let x(c) = -10*c**4 + 20*c**3 + 35*c**2 - 35*c + 35. Let u(g) = 35*l(g) - 4*x(g). Factor u(t).
5*t**3*(t - 2)
Let u(s) be the first derivative of s**4/4 - s**3/3 - 2. Factor u(d).
d**2*(d - 1)
Let z = 23 + -14. Let s = z + -5. What is p in 1 - 5*p**3 + 3*p**3 + p - 2*p**s + p**5 + 3*p**4 - 2*p**2 = 0?
-1, 1
Factor 3*z**4 + 3*z**5 - 6*z**2 - 17*z**4 - 8*z**3 + 2*z**4 + 23*z**3.
3*z**2*(z - 2)*(z - 1)**2
Let f = -77/6 - -311/24. Let s(t) be the first derivative of 0*t + 2 - f*t**2 - 1/12*t**3. Factor s(j).
-j*(j + 1)/4
Let p(s) = s**3 + 8*s**2 + 8*s + 10. Let q be p(-7). Factor -4*w**3 + 4*w + 2*w**q + 0*w**2 + 2*w**2.
-2*w*(w - 2)*(w + 1)
Let r = 81 + -321/4. Determine s so that -3/4*s + 1/4 + 1/2*s**2 + 1/2*s**3 + 1/4*s**5 - r*s**4 = 0.
-1, 1
Let d = -7/15 + 2/3. Let u(w) be the second derivative of -4/3*w**3 - 4/3*w**2 + 0 - 13/18*w**4 - w - 1/45*w**6 - d*w**5. Factor u(n).
-2*(n + 1)**2*(n + 2)**2/3
Let u(c) be the first derivative of -c**8/1008 + c**6/120 - c**5/90 + 5*c**2/2 - 3. Let s(b) be the second derivative of u(b). Factor s(o).
-o**2*(o - 1)**2*(o + 2)/3
Factor 0 - 1/5*i**3 + 0*i - 6/5*i**2.
-i**2*(i + 6)/5
Let j(u) be the third derivative of u**8/504 + 2*u**7/315 - u**5/45 - u**4/36 + 3*u**2. Factor j(l).
2*l*(l - 1)*(l + 1)**3/3
Factor -10/9 + 2/9*l**3 - 2*l - 2/3*l**2.
2*(l - 5)*(l + 1)**2/9
Find n, given that -6/5*n**4 - 4/5*n - 1/5*n**5 + 0 - 12/5*n**2 - 13/5*n**3 = 0.
-2, -1, 0
Suppose 605 - 12*p - 30*p - 33*p - 35*p + 5*p**2 = 0. Calculate p.
11
Let d(l) be the third derivative of l**5/20 - l**4/8 - 9*l**2. Factor d(g).
3*g*(g - 1)
Let g(r) = 88*r. Let s be g(-1). Let m be s/(-20) + (-4)/10. Factor -1 - 4*l**2 - m*l**3 + 4 + l**2 + 4*l + 1 - l**4.
-(l - 1)*(l + 1)*(l + 2)**2
Let n(h) be the first derivative of h**6/3600 - h**5/200 + 3*h**4/80 - 8*h**3/3 - 6. Let a(r) be the third derivative of n(r). Solve a(m) = 0.
3
Let p(d) be the second derivative of d + 1/18*d**4 + 0 + 0*d**3 + 0*d**2 + 1/30*d**5. Factor p(q).
2*q**2*(q + 1)/3
Let v be (-16)/65 + 12/30. Suppose -6/13*g - 2/13*g**3 - v - 6/13*g**2 = 0. Calculate g.
-1
Let 10/11*p + 2/11*p**2 + 8/11 = 0. Calculate p.
-4, -1
Let m = -8 + 16. Let o(s) = 2*s - 12. Let q be o(m). Let -2*y**q - 5*y + 7*y**2 + 0*y - 8*y**3 - 3*y - 2 - 19*y**2 = 0. Calculate y.
-1
Suppose 5*m - 3*f = -103, 3*m = -5*f + 2*f - 57. Let x be m/(-11) + (-10)/(-55). Factor -2*n**x + 0 + 0 + 2.
-2*(n - 1)*(n + 1)
Let l(d) = 32*d**4 + 98*d**3 + 43*d**2 - 20*d. Let y(u) = 33*u**4 + 97*u**3 + 42*u**2 - 20*u. Let v(t) = 2*l(t) - 3*y(t). Suppose v(p) = 0. What is p?
-2, -1, 0, 2/7
Let v(z) = -7 + 0*z**3 + 6*z**3 + 8*z + 21. Let o(p) = 2*p**3 + 3*p + 5. Let s(u) = 14*o(u) - 5*v(u). Solve s(h) = 0 for h.
-1, 0, 1
Determine c so that 15*c + 9*c - 53 - 3*c**2 + 5 = 0.
4
Let m = -265/12 + 67/3. Let f be 3*1*5/30. Find w, given that 0*w**2 + f + 3/4*w - m*w**3 = 0.
-1, 2
Let d be (8/2 - 3) + -2. Let p(y) = -2*y + 1. Let j be p(d). Factor 2/3*c**j + 8/9*c**2 - 4/9 - 2/9*c.
2*(c + 1)**2*(3*c - 2)/9
Let t(d) = 6*d**2 + 24*d + 17. Let l(f) = 2*f**2 + 8*f + 6. Let v(c) = -7*l(c) + 2*t(c). Find m, given that v(m) = 0.
-2
Let v(t) = -t**3 - 6*t**2 + 8*t + 12. Let m be v(-7). Determine j, given that 5/2*j**4 + 1/2*j**5 + 5/2*j + 1/2 + m*j**2 + 5*j**3 = 0.
-1
Let g(u) be the third derivative of 1/40*u**6 - 1/8*u**4 + 1/20*u**5 + 7*u**2 + 0*u + 0 - 1/2*u**3. Find n such that g(n) = 0.
-1, 1
Let f(p) = p**2 + 5*p - 5. Let s be f(-7). Suppose r - s = -i - r, 4*i - 16 = -3*r. What is w in -1 - 2*w**4 + w**5 + 2*w + 4*w**2 + w**5 - 4*w**3 - i = 0?
-1, 1
Let g(h) = -h**4 - h**3 + h - 1. Let q(b) = -4*b**4 - 30*b**3 + 12*b**2 + 10*b - 12. Let x(w) = 12*g(w) - q(w). Find p, given that x(p) = 0.
0, 1/4, 1
Let a(t) = -6*t**2 + 4*t + 1. Let h(u) = 5*u**2 - 4*u. Let g(o) = 4*a(o) + 5*h(o). Factor g(x).
(x - 2)**2
Let o(u) be the second derivative of -u**7/21 + u**6/15 + u**5/10 - u**4/6 - 8*u. Solve o(k) = 0.
-1, 0, 1
Let o be 4/4*(0 + 0). Let w(g) be the second derivative of o*g**4 + 0 + 0*g**3 + 0*g**2 + g + 1/90*g**5 + 1/135*g**6. Solve w(u) = 0.
-1, 0
Let r(m) = 7*m**3 + 9*m**2 + 2*m - 5. Let j be 2/(-7) + 96/42. Let t(h) = 3*h**3 + 4*h**2 + h - 2. Let q(a) = j*r(a) - 5*t(a). Solve q(o) = 0.
-1, 0
Let f(h) = -h + 1. Let k be (-2)/(9/(-6) - -2). Let w(x) = 10*x**4 - 44*x**3 + 46*x**2 - 16*x + 4. Let b(q) = k*f(q) + w(q). Factor b(a).
2*a*(a - 3)*(a - 1)*(5*a - 2)
Let g(d) be the first derivative of -2*d**3/27 + d**2/3 - 4*d/9 - 14. Suppose g(u) = 0. Calculate u.
1, 2
Let y = 1442 + -1442. Factor y + 4/3*m**3 + 0*m + 2/3*m**2 + 2/3*m**4.
2*m**2*(m + 1)**2