. Solve t(i) = 0.
-2, 3
Solve -27*q + 59*q**3 + 908*q**2 - 56*q**3 - 890*q**2 - 42 = 0 for q.
-7, -1, 2
Suppose u - 3*a + 2 = -6*a, 2*u - 14 = 3*a. Factor -4*m**3 - 10*m**2 + 30*m**2 + 64*m**3 + 25*m**u.
5*m**2*(m + 2)*(5*m + 2)
Let h(g) be the second derivative of -g**7/5040 + g**6/180 - g**5/15 + g**4/4 - 18*g. Let w(x) be the third derivative of h(x). Solve w(v) = 0.
4
Let r(o) = 6*o**2 - 16*o + 8. Let z(x) = -x**2 + x - 2. Let c(t) = r(t) + 4*z(t). Determine d, given that c(d) = 0.
0, 6
Factor 400*s - 8*s**2 + 58*s**2 - 55*s**2 - 8000.
-5*(s - 40)**2
Let w(x) = -8*x**4 - 7*x**3 + 55*x**2 + 60*x - 177. Let t(m) = 9*m**4 + 6*m**3 - 55*m**2 - 60*m + 176. Let v(a) = -3*t(a) - 4*w(a). Let v(z) = 0. Calculate z.
-3, 2
Let u(b) be the first derivative of b**5/20 + 9*b**4/16 - 744. Find f such that u(f) = 0.
-9, 0
Let n be ((-226)/(-322) + 4/(-7))/1. Let v = n + 48/161. Factor v*f**4 + 6/7*f**2 + 0*f - 9/7*f**3 + 0.
3*f**2*(f - 2)*(f - 1)/7
Let g be (1/2 - 1)*(-46 - -38). Let d(r) be the third derivative of 0 + 0*r - 3/2*r**3 - 1/60*r**5 + g*r**2 - 1/4*r**4. Determine w, given that d(w) = 0.
-3
Factor 34/15 - 2/15*h**3 - 34/15*h**2 + 2/15*h.
-2*(h - 1)*(h + 1)*(h + 17)/15
Let b(s) be the first derivative of -3*s**4/32 + s**3/16 + 11*s - 7. Let d(a) be the first derivative of b(a). Let d(j) = 0. Calculate j.
0, 1/3
Suppose 5*k - 10 = 2*q - 4*q, -3*q + 38 = -4*k. Suppose 7*v - 2*v = q. Factor -3*o**v + 9*o**2 - 8*o**2.
-2*o**2
Solve 2*y**5 - 6/7*y - 24/7*y**4 + 4*y**2 - 4/7 - 8/7*y**3 = 0 for y.
-1, -2/7, 1
Suppose 0 + 2/19*m**3 - 18/19*m + 2/19*m**4 - 18/19*m**2 = 0. What is m?
-3, -1, 0, 3
Let n be (480/330)/(54/33). Factor -4/9 - 8/9*y**2 + 4/3*y**4 + 4/3*y - 4/9*y**5 - n*y**3.
-4*(y - 1)**4*(y + 1)/9
Let 402/7*v + 57 + 3/7*v**2 = 0. Calculate v.
-133, -1
Suppose 6*k = -9*k - 3615. Let m = -239 - k. Factor 6*h**m - 2*h**3 + 1 - 9/2*h.
-(h - 2)*(2*h - 1)**2/2
Suppose 4*l - 8 = 0, -5*m + 14 = 5*l - 6. Let i(b) = -4*b - 106. Let w be i(-28). Let 3/4*f**5 - 3/2 - 3/2*f**3 - 21/4*f - w*f**m + 3/2*f**4 = 0. Calculate f.
-1, 2
Let f be (-4278)/(-207)*(-1)/(-14) + (-3)/21. Factor -f*v + 0 - 2/3*v**3 - 2*v**2.
-2*v*(v + 1)*(v + 2)/3
Let w be ((-26)/(-6) + -2)*15. Factor -3*i + w*i**2 - i - 26*i**2 - 2*i.
3*i*(3*i - 2)
Solve 4/5 + 2/5*g**3 + 2*g + 8/5*g**2 = 0 for g.
-2, -1
Let w(u) be the second derivative of u**5/25 - u**4/5 - 12*u**3/5 + 9*u + 2. Determine x so that w(x) = 0.
-3, 0, 6
Let t(v) be the third derivative of v**6/50 + 37*v**5/150 + v**4/10 - 680*v**2. Factor t(z).
2*z*(z + 6)*(6*z + 1)/5
Let v(n) be the second derivative of -n**5/20 - 53*n**4/4 - 1040*n**3 + 3200*n**2 - 441*n. Find a, given that v(a) = 0.
-80, 1
Factor -2136*i**4 - 50*i**2 - 5632*i**5 - 37*i + 532*i**2 - 17*i - 2624*i**3 + 8280*i**4 + 62*i**2 + 2.
-2*(4*i - 1)**4*(11*i - 1)
Let m = 258 - 253. Let t be 4/(-12)*m/((-75)/10). Factor 0 - 2/9*k**4 + t*k + 2/3*k**3 - 2/3*k**2.
-2*k*(k - 1)**3/9
Suppose -3*n + 330 = d, 9*n + 554 = 14*n + 3*d. Suppose -n = -3*x - 97. Solve 21/5*v**x - 54/5*v**2 + 81/5 - 3/5*v**5 + 81/5*v - 6*v**3 = 0.
-1, 3
Let 0 + 4/5*g**5 - 492/5*g**3 + 0*g + 248/5*g**2 + 48*g**4 = 0. Calculate g.
-62, 0, 1
Factor 2697*o**3 - 105017*o - 2883*o**2 + 105017*o + 183*o**4 + 3*o**5.
3*o**2*(o - 1)*(o + 31)**2
Let q = -385 - -385. Find y, given that q*y**2 + 1/3*y + 1/6*y**4 - 1/3*y**3 - 1/6 = 0.
-1, 1
Determine d so that 0 + 3/5*d - 12/5*d**2 = 0.
0, 1/4
Let a(f) be the first derivative of -4*f**5/5 + 11*f**4/9 + 64*f**3/27 - 8*f**2/9 - 138. Determine l, given that a(l) = 0.
-1, 0, 2/9, 2
Let s = -109359/7 - -15623. Factor -s*c + 4/7 - 2/7*c**2.
-2*(c - 1)*(c + 2)/7
Let d = 21 + -104/5. Let n be 24/10 - 54/135. Factor -1/5*o**n + d + 0*o.
-(o - 1)*(o + 1)/5
Let v(o) be the second derivative of -o**7/420 + o**6/90 - o**5/60 + 2*o**3/3 - 6*o. Let x(h) be the second derivative of v(h). Suppose x(u) = 0. Calculate u.
0, 1
Let d = 2835 + -11337/4. Factor -d*y - 1/2 - 1/4*y**2.
-(y + 1)*(y + 2)/4
Let y(b) be the third derivative of -5/12*b**4 + 0 + 0*b**3 + 0*b - 1/4*b**5 - 12*b**2 - 1/24*b**6. Factor y(s).
-5*s*(s + 1)*(s + 2)
Let y = -1477/111 - -517/37. Factor -2*j**2 - 6*j - 10/3 + y*j**3.
2*(j - 5)*(j + 1)**2/3
Let i(m) = 4*m**2 + 602*m + 23116. Let n(c) = 4*c**2 + 603*c + 23114. Let o(r) = 5*i(r) - 6*n(r). Factor o(y).
-4*(y + 76)**2
Let r = 2089/2668 - 22/667. Let p be (1/(-3))/((-4)/48). Solve 0 + r*i**3 + 0*i**p - 1/4*i**5 + 0*i + 1/2*i**2 = 0 for i.
-1, 0, 2
Let b be (134/(-6) - -1)*(-30)/12. Let q = b + -1111/21. Factor 9/7 + q*x**2 - 12/7*x.
3*(x - 3)*(x - 1)/7
Let n(c) be the first derivative of -5*c**5/54 + 5*c**4/36 - 2*c**3/27 - 7*c**2 - 21. Let l(q) be the second derivative of n(q). Factor l(y).
-2*(5*y - 2)*(5*y - 1)/9
Let c be 0/((-6)/1 - -4). Let a(b) be the first derivative of -2/5*b**5 - 4 + c*b**2 - 1/2*b**4 + 0*b + 0*b**3. Find p, given that a(p) = 0.
-1, 0
Let o = -44 - -46. Factor -2*l - 9*l**2 - l**4 + 9*l**3 + 4*l**o - 13*l**3.
-l*(l + 1)**2*(l + 2)
Let i(j) = 9*j**3 + 3*j - 2. Let c be i(1). Suppose -c = -2*y - 2*r, -r = 4*y - 4*r + 15. Factor 9/2*o**3 + 3/4*o - 3*o**2 + y + 3/4*o**5 - 3*o**4.
3*o*(o - 1)**4/4
Let x(l) = -2*l - 2. Let n be x(-2). Suppose 41 = 5*a + n*j, -2*j + 1 = 2*a - 13. Factor -2 + 19*k**2 - 7*k**2 + a + 24*k + 9 + 2*k**3.
2*(k + 2)**3
Let j = 1121/3 - 373. Let l(w) be the first derivative of 0*w**2 + 3 + j*w + 2/15*w**5 - 4/9*w**3 + 0*w**4. Solve l(k) = 0.
-1, 1
Factor -6*b + 57*b**4 - b**5 - 4*b**2 - 4*b - 23*b**2 - 66*b**4 - 25*b**3.
-b*(b + 1)**2*(b + 2)*(b + 5)
Let g(d) be the second derivative of 2*d**6/45 + 7*d**5/45 + 5*d**4/27 + 2*d**3/27 + d + 35. Factor g(i).
4*i*(i + 1)**2*(3*i + 1)/9
Let n(g) be the third derivative of -10*g**2 - 5/6*g**3 + 0 + 1/4*g**6 + 0*g + 3/14*g**7 - 2/3*g**5 - 5/4*g**4. Factor n(z).
5*(z - 1)*(z + 1)*(3*z + 1)**2
Let n(z) = z**3 - z**2 - 6*z. Let k be n(5). Let m = k - 70. Factor m*s**2 + 3/2 - 9/4*s + 3/4*s**3.
3*(s - 1)**2*(s + 2)/4
Let z(d) be the third derivative of -2/13*d**3 - 10*d**2 - 1/156*d**4 + 0*d + 0 + 1/390*d**5. Factor z(r).
2*(r - 3)*(r + 2)/13
Let g(k) be the third derivative of 1/18*k**3 + 0 + 1/36*k**4 + 1/180*k**5 + 11*k**2 + 0*k. Suppose g(p) = 0. Calculate p.
-1
Factor -45/7*k + 48/7 - 3/7*k**2.
-3*(k - 1)*(k + 16)/7
Let m = -2/4657 + 18634/13971. Let a(d) be the second derivative of -2*d + 0 + 2*d**2 + m*d**3 + 1/3*d**4. Factor a(o).
4*(o + 1)**2
Let b = 24 - 14. Suppose b*p - 41 = -11. Find l such that -1/3*l**p - l**4 + l**2 - 1/3*l + 2/3*l**5 + 0 = 0.
-1, 0, 1/2, 1
Let i(p) be the second derivative of p**9/22680 - p**8/3360 + p**6/270 - 5*p**4/6 + 12*p. Let o(k) be the third derivative of i(k). Factor o(n).
2*n*(n - 2)**2*(n + 1)/3
Let h(v) be the first derivative of 4*v**6/15 - 18*v**5/25 + v**4/5 - 194. Factor h(r).
2*r**3*(r - 2)*(4*r - 1)/5
Let s be -10*4/40*-4. Factor -61 + s*i**2 + 17*i - i - 4*i**3 + 45.
-4*(i - 2)*(i - 1)*(i + 2)
Find b such that 22/3*b**5 + 4/3*b + 26*b**3 - 34/3*b**2 + 0 - 70/3*b**4 = 0.
0, 2/11, 1
Let g = -992/77 - -159/11. Let v = -15/14 + g. Find y such that -1/4*y**4 + v*y - 1/2*y**3 + 1/4 + 0*y**2 = 0.
-1, 1
Suppose 4*b = 4*t - 24 - 28, 0 = -4*b + 5*t - 55. Let h = 9 + b. Let j(k) = -k**2 - 1. Let a(o) = -3*o - 1. Let x(g) = h*j(g) + a(g). Find n such that x(n) = 0.
0, 3
Let y(w) be the second derivative of w**4/18 + 52*w**3/3 + 2028*w**2 - 778*w. Suppose y(j) = 0. What is j?
-78
Let a(d) be the first derivative of 2*d**3/21 - 6*d**2/7 - 2*d + 68. Factor a(z).
2*(z - 7)*(z + 1)/7
Factor 21*m**2 + 27 - 46*m**2 + 18*m + 22*m**2 - 6.
-3*(m - 7)*(m + 1)
Let b(l) = l - 2. Let p(v) = v**2 + 28*v + 30. Let j(c) = b(c) + p(c). Factor j(d).
(d + 1)*(d + 28)
Let o(u) be the third derivative of 0*u + 7/15*u**4 + 1/75*u**5 + 98/15*u**3 + 0 + 9*u**2. Factor o(i).
4*(i + 7)**2/5
Let b(o) be the first derivative of -o**6/360 - o**5/180 + o**4/72 + o**3/18 - 17*o**2/2 + 8. Let h(r) be the second derivative of b(r). What is z in h(z) = 0?
-1, 1
Let x(v) be the first derivative of v**4/4 - 13*v**3 + 507*v**2/2 - 2197*v - 147. Factor x(c).
(c - 13)**3
Let q(z) be the third derivative of -z**5/60 + 7*z**4/12 + 81*z**2. Find x such that q(x) = 0.
0, 14
Let u be 15/(-72)*-6 - 35/(-20). Determine z, given that 6/11*z**2 - 8/11*z**4 + 10/11 + 40/11*z*