 11*b. Suppose o(a) = 0. What is a?
-1, 0, 1/4, 2
Factor -56*t**4 + 88*t**3 - 1 - t**5 + 13*t**5 - 48*t**2 - 209*t + 9 + 205*t.
4*(t - 2)*(t - 1)**3*(3*t + 1)
Let r(g) be the second derivative of g**6/75 - g**5/50 - 3*g**4/10 - 11*g**3/15 - 4*g**2/5 + 21*g. Factor r(i).
2*(i - 4)*(i + 1)**3/5
Let r(d) be the third derivative of 0*d + 0 + 3*d**2 - 7/390*d**5 + 2/39*d**3 - 5/156*d**4. Factor r(m).
-2*(m + 1)*(7*m - 2)/13
Let x(w) be the third derivative of w**6/540 + w**5/120 + w**4/72 + w**3/2 - 2*w**2. Let n(d) be the first derivative of x(d). Factor n(b).
(b + 1)*(2*b + 1)/3
Let x(u) be the third derivative of 11*u**6/240 + u**5/60 - 11*u**4/48 - u**3/6 + 7*u**2. Suppose x(i) = 0. Calculate i.
-1, -2/11, 1
Let k = 887/70 - 1/14. Let y = -11 + k. Determine b, given that -8/5*b + y + 2/5*b**2 = 0.
2
Suppose j - 20 = -4*h, 0 = 4*h - 26 + 10. Factor -j*u**4 + 5*u**4 - 2*u**2 - u**2 + u**5 - u**3 + 2*u**2.
u**2*(u - 1)*(u + 1)**2
Factor -1/4 - 1/4*h + 1/4*h**2 + 1/4*h**3.
(h - 1)*(h + 1)**2/4
Let o(i) be the third derivative of 0*i**5 + 0*i + 0 + 1/1176*i**8 + 2/735*i**7 + 0*i**3 + 1/420*i**6 + 0*i**4 - 8*i**2. Find u such that o(u) = 0.
-1, 0
Find l such that -1/4*l**4 + 3/4*l**3 - 3/4*l - 1 + 5/4*l**2 = 0.
-1, 1, 4
Factor 2/5*g**4 - 2/5 + 0*g**2 - 4/5*g + 4/5*g**3.
2*(g - 1)*(g + 1)**3/5
Let l(y) be the third derivative of y**9/181440 + y**8/15120 + y**7/3780 + y**5/60 - y**2. Let n(p) be the third derivative of l(p). Factor n(d).
d*(d + 2)**2/3
Let k(m) be the second derivative of 2/15*m**4 + 0 - 2/5*m**2 - 7/15*m**3 - 3*m. Determine y, given that k(y) = 0.
-1/4, 2
Let l(c) be the third derivative of 49*c**6/120 - 7*c**5/6 - 13*c**4/6 - 4*c**3/3 - 3*c**2. Let l(j) = 0. What is j?
-2/7, 2
Let w(i) be the second derivative of i**5/270 + i**4/27 + 4*i**3/27 - 3*i**2/2 + 3*i. Let a(d) be the first derivative of w(d). Factor a(q).
2*(q + 2)**2/9
Factor -4*v + 2*v - 6*v**2 + 4*v**2.
-2*v*(v + 1)
Let o(g) be the third derivative of g**6/30 + 2*g**5/15 - g**4/6 - 4*g**3/3 - 3*g**2. Let o(q) = 0. What is q?
-2, -1, 1
Let g(v) = 2*v**2 - 26*v + 2. Let l be g(13). Let n(f) be the second derivative of 0 + 0*f**l - 1/18*f**3 - 1/36*f**4 + 2*f. Factor n(d).
-d*(d + 1)/3
Let h(r) be the second derivative of r**7/63 - 4*r**6/45 - 4*r**5/15 + 32*r**4/9 - 112*r**3/9 + 64*r**2/3 - 11*r. Let h(g) = 0. What is g?
-4, 2
Factor -4*b**2 + 2*b + 2*b + 2 + 6*b**2.
2*(b + 1)**2
Suppose 3*z + 22 = g + 8*z, g + 2*z - 10 = 0. Solve 2/3*r**3 - g*r + 4/3 + 0*r**2 = 0.
-2, 1
Let t = 234 + -1164/5. Factor -4/5 - 2/5*w**2 + t*w.
-2*(w - 2)*(w - 1)/5
Let u = 3 + -3. Suppose 2 = p - u*p. Solve -l**4 + l**4 + 2*l + 4*l**3 - 6*l + p - 2*l**4 = 0.
-1, 1
Let n be -1 + 16/18 + (-722)/(-342). Solve n*f**3 + 5/4*f**2 - 1/2*f**5 - 3/4*f**4 + 1 - 3*f = 0.
-2, 1/2, 1
Let x(b) be the second derivative of 5*b**4/9 - 8*b**3/9 - 2*b**2/3 + 23*b. Solve x(y) = 0 for y.
-1/5, 1
Let s(j) be the second derivative of j**5/40 + j**4/12 + j**3/12 - 19*j. Factor s(c).
c*(c + 1)**2/2
Let a = 1280/9 - 142. Solve 0 - a*o + 2/9*o**2 = 0 for o.
0, 1
Let z be (-37)/(-18) + -4 + 2/1. Let b(n) be the first derivative of 2/27*n**3 + 0*n**2 + 0*n - 4 - z*n**4. Find d such that b(d) = 0.
0, 1
Let c(g) be the second derivative of -g**5/300 - g**4/60 - g**3/30 - 3*g**2 + 7*g. Let a(y) be the first derivative of c(y). Factor a(x).
-(x + 1)**2/5
Let l be 10 + (-16)/12*3. Determine g so that 105*g**4 + 0 - l*g - 147/2*g**5 + 9/2*g**3 - 30*g**2 = 0.
-2/7, 0, 1
Let h = -26 - -37. Factor r**2 - 3*r - 1 + h - 2 - 6.
(r - 2)*(r - 1)
Let p be -10 - (-7 + 117/(-36)). Let -1/2*c - p*c**2 + 1/4*c**4 + 3/4*c**3 + 0 - 1/4*c**5 = 0. Calculate c.
-1, 0, 1, 2
Determine d, given that -3/2 - 3/2*d - 3/8*d**2 = 0.
-2
Let m(w) be the third derivative of -w**6/540 + 5*w**3/6 + 8*w**2. Let p(u) be the first derivative of m(u). Factor p(o).
-2*o**2/3
Let h(f) be the second derivative of -f**6/20 - 9*f**5/8 - 63*f**4/8 - 49*f**3/4 + 64*f. Factor h(w).
-3*w*(w + 1)*(w + 7)**2/2
Factor -r - 1/4*r**4 + 0 + r**2 + 1/4*r**3.
-r*(r - 2)*(r - 1)*(r + 2)/4
Let j(z) be the first derivative of z**4/22 + 2*z**3/33 - 5*z**2/11 + 6*z/11 - 25. Determine v, given that j(v) = 0.
-3, 1
Let g(c) be the second derivative of -c**7/420 + c**6/90 - c**5/60 + c**3/2 + 5*c. Let f(m) be the second derivative of g(m). Factor f(b).
-2*b*(b - 1)**2
Let y = 22 - 20. Determine o, given that 2 + 0 - y*o**2 + 3*o**2 + 2*o - 1 = 0.
-1
Let r(f) = -3*f**2 + 3*f - 6. Let y(l) = 5 - 2*l + l - 6. Let j(w) = r(w) - 3*y(w). Factor j(h).
-3*(h - 1)**2
Let b be 1/6 + (-2)/12. Let j(a) be the first derivative of 1/12*a**3 + 2 + b*a - 1/8*a**2. Factor j(z).
z*(z - 1)/4
Let u(z) be the third derivative of z**6/540 - z**5/270 - 5*z**4/108 - z**3/9 + 18*z**2. Factor u(m).
2*(m - 3)*(m + 1)**2/9
Suppose 5*u - 3*a = -72, -u - 3 = -3*a + 9. Let y be ((-10)/u)/(1/1). Find g, given that 2*g**4 + y*g - 2/3*g**3 - 2*g**2 + 0 = 0.
-1, 0, 1/3, 1
Let c(a) be the first derivative of -4*a**5/95 + 3*a**4/38 - 2*a**3/57 + 2. Suppose c(h) = 0. What is h?
0, 1/2, 1
Let o(z) = z + 8. Let q be o(-11). Let u be 1 + ((-3)/q)/1. Determine f so that -1/4*f**4 - 3/4*f**3 - 1/4*f - 3/4*f**u + 0 = 0.
-1, 0
Let k(b) be the second derivative of -3*b + 0*b**6 + 0 - 1/21*b**7 + 2/5*b**5 - 2*b**2 + 1/3*b**4 - b**3. Factor k(a).
-2*(a - 2)*(a - 1)*(a + 1)**3
Suppose 4*m = -h + 12, -4*m + 14 = h + m. Solve -10/7*u**h + 4/7*u**3 + 0 + 10/7*u**2 - 4/7*u = 0 for u.
-1, 0, 2/5, 1
Let x(n) = 3*n**4 + 9*n**3 - 18*n**2 - 12*n + 24. Let t(r) = -r**3. Let y be (-72)/(-16)*4/(-3). Let u(f) = y*t(f) - x(f). Solve u(l) = 0 for l.
-2, 1, 2
Let m(x) be the first derivative of -x**7/63 + 2*x**6/45 - x**4/9 + x**3/9 - 3*x + 1. Let u(d) be the first derivative of m(d). Factor u(z).
-2*z*(z - 1)**3*(z + 1)/3
Let q(v) be the third derivative of v**7/1470 - v**6/840 + 17*v**2. Factor q(g).
g**3*(g - 1)/7
Let z(t) be the third derivative of -t**7/245 + 11*t**6/420 - t**5/14 + 3*t**4/28 - 2*t**3/21 - 11*t**2. Let z(u) = 0. What is u?
2/3, 1
Let s be (12/10)/(10/25). Let x(w) be the second derivative of -w + 0*w**4 + 0*w**2 + 0 + 0*w**s - 1/126*w**7 + 0*w**5 - 1/90*w**6. Let x(c) = 0. Calculate c.
-1, 0
Let z(b) = -11*b**2 + 2. Let u be z(-2). Let f be 6/(-21) + (-40)/u. Factor 4/3*t**2 + 2/3*t + 0 + f*t**3.
2*t*(t + 1)**2/3
Let h(r) be the first derivative of -r**8/210 - 3*r**7/140 - r**6/30 - r**5/60 - r**3 + 3. Let g(f) be the third derivative of h(f). Factor g(b).
-2*b*(b + 1)**2*(4*b + 1)
Let k(n) be the first derivative of -50*n**3 - 35*n**2/2 + 10*n + 18. Factor k(w).
-5*(5*w + 2)*(6*w - 1)
Let b be -9*((-11)/9 - -1). Suppose 0 = 2*j - b - 2. Solve 7/4*i**4 - 1/2*i + 3/4*i**j + 3*i**3 + 0 = 0 for i.
-1, 0, 2/7
Let r be (40/320)/(2/(-48)*-2). What is o in -3/2*o + 0 - 3*o**2 - r*o**3 = 0?
-1, 0
Let l(f) be the second derivative of 2*f**2 - 9*f + 1/4*f**4 - f**3 + 0 - 1/40*f**5. Factor l(t).
-(t - 2)**3/2
Let z be (-3)/(-6) - (-129)/(-282). Let f = 41/141 + z. Let 0 - f*k + 1/3*k**2 = 0. Calculate k.
0, 1
Let i(t) be the third derivative of -1/60*t**6 + 1/18*t**5 + 0*t**3 - 1/18*t**4 + 2*t**2 + 0*t + 0. What is c in i(c) = 0?
0, 2/3, 1
Let w(m) be the first derivative of -7*m**6/10 - 8*m**5/25 + 5*m**4/4 + 8*m**3/15 - 2*m**2/5 - 22. Find l such that w(l) = 0.
-1, -2/3, 0, 2/7, 1
Let i(h) be the first derivative of -8*h**5/75 - h**4/6 - 2*h**3/45 - 10. Factor i(r).
-2*r**2*(r + 1)*(4*r + 1)/15
Find t such that -3*t**4 + 0*t**2 + 0 + 9/2*t**3 + 0*t + 1/2*t**5 = 0.
0, 3
Factor -9/8*r**3 - 3/4 + 3/8*r**4 + 9/8*r + 3/8*r**2.
3*(r - 2)*(r - 1)**2*(r + 1)/8
Determine w so that w - 7 - 1 - 2*w**3 + 8*w**2 + w = 0.
-1, 1, 4
Let a be 4 - ((-35)/(-20) + 2). Let a + 1/2*z + 1/4*z**2 = 0. Calculate z.
-1
Let i = 2/65 + 24/65. Let p = 130/163 + 2/815. Let 2/5*l**2 + i*l - p = 0. Calculate l.
-2, 1
Let n(j) be the first derivative of 2*j**5/45 - 2*j**3/27 - 7. Determine s so that n(s) = 0.
-1, 0, 1
Let j = 8 + -6. Factor -3*f**2 - j*f + 9*f**2 - 4*f - 2*f**3 + 2 + 0*f**3.
-2*(f - 1)**3
Determine x so that -56*x**4 + 55*x**4 - 2*x**3 - 6*x + 12*x**2 + 5 - 8*x = 0.
-5, 1
Let t(q) be the first derivative of -64*q**5/55 + 48*q**4/11 - 212*q**3/33 + 51*q**2/11 - 18*q/11 - 34. Determine h so that t(h) = 0.
1/2, 3/4, 1
Let r(a) = a - 3. Let j be r(5). 