+ c. Determine y, given that 2/9*y**5 + o*y - 2/9*y**3 - 2/9*y**4 + 0 + 2/9*y**2 = 0.
-1, 0, 1
Let x = -41 + 43. Solve -2*h**x - 3*h**2 - 3 - 5 + 3 - 10*h = 0.
-1
Let k(r) be the first derivative of 1/7*r**4 + 4/35*r**5 + 0*r**2 + 1 + 0*r**3 + 0*r. Suppose k(l) = 0. Calculate l.
-1, 0
Factor 1/2*b**3 + 9/2*b - 5*b**2 + 0.
b*(b - 9)*(b - 1)/2
Let r(i) be the third derivative of 0*i - 1/600*i**5 + 1/400*i**6 + 0*i**3 + 0 + 10*i**2 - 1/120*i**4. Let r(w) = 0. What is w?
-2/3, 0, 1
Let f(w) be the first derivative of 9*w**5/5 - 133*w**4/20 + 28*w**3/5 + 2*w**2/5 - 53. Suppose f(y) = 0. What is y?
-2/45, 0, 1, 2
Let n = -24854/3 + 8286. Let -1/3*m**3 - 4/3*m**2 + 1/3*m**4 + 0 + n*m = 0. Calculate m.
-2, 0, 1, 2
Factor 2/15*g**4 - 208/15*g - 14/3 - 64/15*g**3 - 68/5*g**2.
2*(g - 35)*(g + 1)**3/15
Let o(v) be the first derivative of -1/4*v**2 + 0*v + 20 - 1/12*v**3. Factor o(t).
-t*(t + 2)/4
Let v be (-29)/(-2) - (-3)/2. Suppose -3*z - z = -v. Find o such that 31*o - 31*o + 30*o**5 - 4*o**2 - 18*o**3 - 8*o**z = 0.
-2/5, -1/3, 0, 1
Let y be 1 - 1 - ((-21)/1)/3. Solve 2*u**4 + u**4 + y*u**4 - 4*u - 8*u**4 - 8*u**3 + 10*u**2 = 0 for u.
0, 1, 2
Let l(x) be the third derivative of x**6/144 + 13*x**5/120 + 67*x**4/144 - 5*x**3/12 - 7*x**2 - 5*x. Solve l(y) = 0 for y.
-5, -3, 1/5
Suppose 2*j - 7 - 1 = 0. Suppose 25*a**2 + j*a + 2*a - 4*a**2 = 0. What is a?
-2/7, 0
Let z = -210 + 216. Let i(l) be the first derivative of 0*l**2 + 3/4*l**4 + 0*l - 1/2*l**z + l**3 - 4 - 3/5*l**5. Factor i(d).
-3*d**2*(d - 1)*(d + 1)**2
Suppose -5*b + 2*f + 26 = 0, -4*b - 3*f - 5 = -3*b. Factor 0*a + 3 - 3 + b*a - 2*a**2.
-2*a*(a - 2)
Let a(g) be the third derivative of -2/21*g**7 + 0*g + 2/15*g**6 - 2/3*g**4 - 2/3*g**3 + 0 + 47*g**2 + 2/5*g**5. Determine r, given that a(r) = 0.
-1, -1/5, 1
Let o be 5*(24/(-20) + 2). Suppose -7*r = -18*r + 5*r. Factor -1/2*b**5 + 0*b**3 + b**o - b**2 + r + 1/2*b.
-b*(b - 1)**3*(b + 1)/2
Let a(m) = 8*m**2 + 12*m. Let q be (2/4)/(1/(-2)). Let h(k) = 1. Let g(n) = q*a(n) - 4*h(n). Let g(f) = 0. Calculate f.
-1, -1/2
Let t(c) = 2*c + 88. Let n be t(-44). Let b(u) be the first derivative of 0*u**5 + 7 + 0*u - 1/12*u**4 + 1/36*u**6 + 1/12*u**2 + n*u**3. What is z in b(z) = 0?
-1, 0, 1
Let z(o) be the second derivative of 3*o - 1/7*o**4 + 6/7*o**2 - 1/35*o**5 + 2/21*o**3 + 0. Factor z(j).
-4*(j - 1)*(j + 1)*(j + 3)/7
Let u = 95/246 - 9/41. Let p(c) be the second derivative of 0 - u*c**6 + 0*c**3 + 1/4*c**5 + 0*c**2 + 0*c**4 + 4*c. Factor p(d).
-5*d**3*(d - 1)
Let s(j) be the third derivative of -j**10/75600 + j**8/10080 + 5*j**5/12 + 17*j**2. Let g(x) be the third derivative of s(x). Solve g(z) = 0.
-1, 0, 1
Find z, given that -27*z + 7/2*z**2 + 36*z**3 - 9/2*z**4 - 8 = 0.
-2/3, -1/3, 1, 8
Determine o, given that 15*o**4 - 79*o**5 + 183*o**5 - 240*o - 144 - 120*o**2 - 101*o**5 = 0.
-2, 3
Let g = -106 - -112. Let h be g/2 - (2/(-8) - -3). Determine x, given that 0 + 1/4*x**4 - h*x - 1/4*x**2 + 1/4*x**3 = 0.
-1, 0, 1
Factor -15/2*s + 3/4*s**2 + 75/4.
3*(s - 5)**2/4
Suppose -2*r - 4*f + 14 = 0, 2*r + 99*f + 4 = 104*f. Factor 0 + 1/2*d**4 + 3/2*d**r + 0*d + d**2.
d**2*(d + 1)*(d + 2)/2
Let b(h) be the first derivative of -h**4 - 260*h**3/3 - 254*h**2 - 252*h + 140. Factor b(g).
-4*(g + 1)**2*(g + 63)
Let l(p) be the third derivative of 5*p**8/336 - 8*p**7/21 + 41*p**6/24 - 13*p**5/6 - p**2 + 6. Suppose l(u) = 0. What is u?
0, 1, 2, 13
Let y be (10 + (-495)/50)*20. Factor -3/8*d**3 - 3/8 + 3/8*d + 3/8*d**y.
-3*(d - 1)**2*(d + 1)/8
Let s(x) = 11*x**2 - 646*x - 177. Let o be s(59). Factor -2/3*d**3 - 1/3*d**5 + 0 - d**4 + 0*d**2 + o*d.
-d**3*(d + 1)*(d + 2)/3
Let y(x) = -18*x**2 + 15*x + 4. Let v(f) = 16*f**2 - 15*f - 3. Let k(g) = -4*v(g) - 3*y(g). What is t in k(t) = 0?
0, 3/2
Let p(r) be the first derivative of 13 + 0*r**3 - 2/5*r**4 + 4/5*r**2 - 4/5*r + 4/25*r**5. Solve p(q) = 0 for q.
-1, 1
Let c(y) be the third derivative of -y**7/7560 + y**6/720 + 17*y**4/12 + 6*y**2. Let o(i) be the second derivative of c(i). Factor o(u).
-u*(u - 3)/3
Let w(n) be the second derivative of n**7/1260 - n**6/180 - n**5/20 + 17*n**4/12 - 20*n. Let x(j) be the third derivative of w(j). Let x(g) = 0. Calculate g.
-1, 3
Let k(j) = 15*j**4 + 53*j**3 + 89*j**2 + 44*j - 7. Let a(t) = -13*t**4 - 52*t**3 - 89*t**2 - 44*t + 6. Let c(r) = 7*a(r) + 6*k(r). Let c(d) = 0. Calculate d.
-44, -1, 0
Factor 16/7 + 2*v - 2/7*v**2.
-2*(v - 8)*(v + 1)/7
Let u(b) be the first derivative of 3*b**4/4 - 75*b**2/2 + 360. Suppose u(j) = 0. Calculate j.
-5, 0, 5
Let i(c) = 5*c**4 + 25*c**3 + 56*c**2 + 2*c - 32. Let x(w) = -16*w**4 - 75*w**3 - 169*w**2 - 7*w + 96. Let g(b) = -7*i(b) - 2*x(b). Factor g(d).
-(d + 1)*(d + 4)**2*(3*d - 2)
Let y(t) be the first derivative of 4*t**5/5 + 4*t**4 - 8*t**3 - 8*t**2 + 20*t - 44. Factor y(z).
4*(z - 1)**2*(z + 1)*(z + 5)
Let k(x) = -x**3 + 12*x**2 - 8*x - 3. Suppose -10*w = -4*w + 18. Let d(c) = -c**3 + 1. Let v(t) = w*d(t) - k(t). Factor v(m).
4*m*(m - 2)*(m - 1)
Let w(d) = d**3 + 15*d**2 - 17*d + 33. Let v be w(-17). Let u be (-1)/((-14)/(-4)) - v/112. Solve -r + 1/2 + 1/2*r**u = 0 for r.
1
Let k = 1266/13 + -2519/26. Determine w so that 0 + 1/4*w + 1/4*w**3 - k*w**2 = 0.
0, 1
Let a(l) be the second derivative of l**8/30240 + l**7/11340 + 5*l**4/6 + 3*l - 1. Let m(n) be the third derivative of a(n). Factor m(h).
2*h**2*(h + 1)/9
Let c be (-8 - (-791)/105)/(2/(-12)). Factor 0 - c*l + 16/5*l**2 - 2/5*l**3.
-2*l*(l - 7)*(l - 1)/5
Let q(r) = 8*r**4 - 8*r**3 - 2*r**2 + 5*r. Let h(z) = -105*z**4 + 105*z**3 + 25*z**2 - 65*z. Let x(i) = -3*h(i) - 40*q(i). Suppose x(g) = 0. Calculate g.
-1, 0, 1
Let q(m) be the first derivative of -m**3/12 + m**2/8 + 3*m/2 - 745. Suppose q(i) = 0. Calculate i.
-2, 3
Let 2/17*l**5 + 0 + 22/17*l**3 + 0*l - 10/17*l**2 - 14/17*l**4 = 0. Calculate l.
0, 1, 5
Let n(h) be the third derivative of -1/20*h**4 + 3/5*h**3 + 1/105*h**7 - 7/75*h**5 + 0 + 1/840*h**8 + 1/150*h**6 + 8*h**2 + 0*h. Let n(r) = 0. What is r?
-3, -1, 1
Let i(s) be the second derivative of -s**7/840 + s**6/240 + 3*s**5/20 - s**4/6 + 6*s. Let b(a) be the third derivative of i(a). Find k such that b(k) = 0.
-2, 3
Let w(m) = 4*m**3 + m. Let a(g) = 17*g**3 + 2*g**2 + 3*g - 2. Let q(t) = -5*a(t) + 20*w(t). Determine y, given that q(y) = 0.
-2, -1, 1
Let c = -18 + 14. Let h be 39/13 - (1 - 6/c). Suppose -h + 1/2*m**2 + 1/2*m**3 - 1/2*m = 0. What is m?
-1, 1
Let t(y) be the third derivative of -y**6/780 + 4*y**5/195 + y**4/13 - 48*y**3/13 + 2*y**2 + 4*y. Suppose t(r) = 0. What is r?
-4, 6
Let w(q) be the first derivative of 2*q**6/3 + 24*q**5/5 + 12*q**4 + 32*q**3/3 + 235. Solve w(n) = 0.
-2, 0
Let u(j) be the first derivative of -1/40*j**4 + 2/15*j**3 + 1/5*j**2 - 1/50*j**5 - 13 + 0*j. Factor u(b).
-b*(b - 2)*(b + 1)*(b + 2)/10
Suppose -4*z - 357 = -7*z. Factor z - 119 + 6*w**5 + 10*w**4 + 4*w**3.
2*w**3*(w + 1)*(3*w + 2)
Suppose 188 = 25*z + 22*z. Let h(r) be the second derivative of 25/3*r**z + 40/3*r**3 + 0 + 5*r + 8*r**2. Factor h(b).
4*(5*b + 2)**2
Let p(t) be the third derivative of t**6/90 - 11*t**5/45 + 14*t**4/9 - 290*t**2. Factor p(a).
4*a*(a - 7)*(a - 4)/3
Let t(c) = -5*c**2 + 7*c - 1. Let h(x) = 3*x**2 - 19*x + 7. Let w be h(6). Let s(q) = -q**2 - q - 1. Let y(k) = w*t(k) - s(k). Factor y(b).
-4*b*(b - 2)
Let n(s) be the second derivative of -s**5/15 + 2*s**4/3 - 22*s**3/9 + 4*s**2 + 12*s - 6. Factor n(h).
-4*(h - 3)*(h - 2)*(h - 1)/3
Factor 0*i - 4/9*i**5 - 8/3*i**2 + 0 - 16/9*i**4 + 44/9*i**3.
-4*i**2*(i - 1)**2*(i + 6)/9
Let u(l) = 3*l**2 + 3*l - 2. Let k be u(-2). Suppose k*x = 3*p - 1, -2*p - 2*x = x - 29. Solve p*c**2 - 2 - 6*c**2 + c**2 = 0 for c.
-1, 1
Let l(u) = -11*u - 97. Let x be l(-9). Factor 0 + 3*k**3 + 0*k + 9/2*k**4 + 1/2*k**x.
k**2*(3*k + 1)**2/2
Let w(v) be the second derivative of 0 + 6/7*v**2 - 40*v - 11/14*v**3 - 3/28*v**4. Factor w(r).
-3*(r + 4)*(3*r - 1)/7
Factor 116*s - 46 - 5/2*s**2.
-(s - 46)*(5*s - 2)/2
Let p be 1 + -6 - (-419)/76. Let o = p - 5/19. Suppose -3*f - 3/2*f**2 - 2 - o*f**3 = 0. What is f?
-2
Let z(u) be the third derivative of u**9/120960 + u**8/40320 + u**5/15 - 12*u**2. Let m(f) be the third derivative of z(f). Factor m(v).
v**2*(v + 1)/2
Let f(m) = -m**3 - 5*m**2 + 5*m - 3. Let y be f(-6). Suppose -5*s - 2*z = -4, -y*z -