w**4/4 + 26*w**3/5 - 6*w**2 - 47*w - 1. Determine i, given that u(i) = 0.
2/5, 10
Suppose -15*s + 13*s - 3 = 3*q, 4 = s - 4*q. Factor s*z**3 + 16/7*z**2 - 4/7*z**4 + 1/7*z**5 + 0 - 16/7*z.
z*(z - 2)**3*(z + 2)/7
Let y be -18*6/(-60) - -1. Let o(s) be the first derivative of 0*s + y*s**5 - 2 + 0*s**2 - 9/2*s**4 + 4/3*s**3. Find p such that o(p) = 0.
0, 2/7, 1
Factor -15*m - 304*m**2 + 3*m**4 - 317*m**2 - 12 + 15*m**3 + 630*m**2.
3*(m - 1)*(m + 1)**2*(m + 4)
Factor -102*m + 2 - 2 - 37351*m**2 + 3*m**3 + 37306*m**2.
3*m*(m - 17)*(m + 2)
Suppose -4*q - 20 = -32*a + 27*a, 0 = 7*a - 3*q - 15. Solve 3/2*r**2 + 1/2*r**3 + r + a = 0.
-2, -1, 0
Suppose -2*b = -0*b - 5*h - 41, -2*b + 32 = -2*h. Factor 0*y**4 + b*y**5 + 9*y**2 + 99*y**4 + 14*y**5 + 19*y**3 + 38*y**3.
3*y**2*(y + 3)*(3*y + 1)**2
Let c(n) be the third derivative of n**8/896 + 9*n**7/560 + 7*n**6/160 - 17*n**5/80 - 15*n**4/64 + 25*n**3/16 - 17*n**2 + 3. Find h, given that c(h) = 0.
-5, -1, 1
Let a(v) = 2*v**2 - 20*v + 26. Let k(r) = 3*r**2 - 19*r + 26. Suppose -3 = -9*c + 33. Let h(q) = c*k(q) - 5*a(q). Factor h(s).
2*(s - 1)*(s + 13)
Let p = -197 - -201. Let g(j) be the third derivative of 1/480*j**6 + 0*j**p + 0*j**3 + 0*j - 7*j**2 - 1/1680*j**7 + 0*j**5 + 0. Let g(y) = 0. What is y?
0, 2
Let r(l) = 11 - 8 - 4 - l**2. Let x(h) = 2*h**4 - 2*h**3 - 36*h**2 - 22*h - 26. Let d(w) = -36*r(w) + 2*x(w). Factor d(t).
4*(t - 4)*(t + 1)**3
Let x(t) be the first derivative of t**6/15 + 2*t**5/25 - t**4/5 + 177. Factor x(o).
2*o**3*(o - 1)*(o + 2)/5
Let n(f) = -f**2 - 6*f + 6. Let b be n(-8). Let i be (16/b)/((-3)/(-5)*-1). Determine j so that -i*j - 4/3*j**2 - 4/3 = 0.
-1
Factor 3/4*t**5 + 0*t**3 + 9/2 + 21/2*t**2 - 3*t**4 - 51/4*t.
3*(t - 3)*(t - 1)**3*(t + 2)/4
Determine f so that 5*f - 8*f**3 - 7 + 3 + 3*f**3 + 4 = 0.
-1, 0, 1
Let g(u) = -62*u**2 + 72*u. Let m(h) = 72*h**2 - 71*h. Let d(b) = -7*g(b) - 6*m(b). Determine w, given that d(w) = 0.
0, 39
Let i = 23 + -15. Find h, given that -i - 52*h**3 - 46*h - 8*h + 10*h - 76*h**2 - 12*h**4 = 0.
-2, -1, -1/3
Let n = -1/13 + 16/39. Let o(d) = d**3 - 8*d**2 + d - 6. Let s be o(8). Suppose 1/3*q + 2/3*q**4 + 0 - 2/3*q**s - n*q**5 + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let j(h) be the third derivative of h**7/105 - 7*h**5/30 - h**4/2 + 28*h**2. Factor j(b).
2*b*(b - 3)*(b + 1)*(b + 2)
Let f be (-3 - -72)*95/(-15). Let p = 2193/5 + f. Factor -p*m**2 + 0 - 2/5*m - 6/5*m**3.
-2*m*(m + 1)*(3*m + 1)/5
Let i(c) be the third derivative of c**6/720 - c**5/45 + 13*c**4/144 - c**3/6 - 101*c**2. Determine r, given that i(r) = 0.
1, 6
Suppose -21*t + 22 - 138 = -50*t. Solve -1/3*r**t + r**2 + 0*r - 2/3*r**3 + 0 = 0 for r.
-3, 0, 1
Suppose -4*n = 2 - 18. Factor -7*i**2 + 8*i**5 + 2*i - i**3 - 9*i**5 + 3*i**4 + n*i**2.
-i*(i - 2)*(i - 1)**2*(i + 1)
Suppose 10 = 5*k + 5*o, -k = k - o - 16. Suppose -k = -0*q - 3*q. Factor -y - q - 64*y**4 - 3*y**2 + 63*y**4 - 3*y**3 + 2.
-y*(y + 1)**3
Factor -17/8*g + 1/8*g**3 - 7/8*g**2 - 9/8.
(g - 9)*(g + 1)**2/8
Let v = -56 + 92. Determine i, given that i**4 + v*i**4 - 630*i + 1443*i**2 + 75 - 504*i**3 + 11*i**4 = 0.
1/4, 5
Let n = -273 + 479. Let p = n + -204. Factor -14/3*t - 2/3*t**3 - 10/3*t**p - 2.
-2*(t + 1)**2*(t + 3)/3
Let x be (9 - (-84)/(-8))*16/(-6). Let g(t) be the third derivative of 0*t**3 - 1/20*t**5 - 2*t**2 + 0 + 0*t + 0*t**x. Factor g(o).
-3*o**2
Let z(o) be the first derivative of -2*o**3/3 + 96*o**2 - 4608*o - 90. Factor z(h).
-2*(h - 48)**2
Let b = 19 - 6. Let y = -10 + b. Factor 2*s**y + s**3 - 4*s**2 - s - s - 5*s**3.
-2*s*(s + 1)**2
Let d(u) be the third derivative of -u**6/240 - 9*u**5/20 - 243*u**4/16 - u**2 + 79*u. Factor d(x).
-x*(x + 27)**2/2
Let c(d) be the third derivative of 0*d + 26*d**2 + 1/330*d**5 + 0 + 1/132*d**4 - 2/11*d**3. Factor c(u).
2*(u - 2)*(u + 3)/11
Let b(x) = 2*x - 2. Let d be b(2). Let k = -1682 + 3367/2. Find h, given that -21/4*h**d - k*h + 0 = 0.
-2/7, 0
Let a(g) be the first derivative of 49*g**7/180 - 49*g**6/90 + 7*g**5/15 - 2*g**4/9 + 7*g**3/3 + 7. Let m(w) be the third derivative of a(w). Factor m(y).
2*(7*y - 2)**3/3
Let f be 25/(-357) + (2/17 - 0). Let a(g) be the second derivative of 1/105*g**6 + 0*g**2 + 3*g + 1/70*g**5 - f*g**4 + 0 + 0*g**3. Factor a(d).
2*d**2*(d - 1)*(d + 2)/7
Let u(m) be the first derivative of -5*m**4/4 + 35*m**2/2 + 30*m + 693. Factor u(c).
-5*(c - 3)*(c + 1)*(c + 2)
Let m = 4574 - 4570. Factor 0*v**3 + 0*v - 1/3*v**m - 16/3 + 8/3*v**2.
-(v - 2)**2*(v + 2)**2/3
Suppose 31 = -2*q + 5*i, -37 = 5*q - 2*i + 3*i. Let x(b) = -2*b - 13. Let n be x(q). Find p such that 5*p**n + 28*p**2 + p**3 - 3*p**4 - 31*p**2 = 0.
0, 1
Let h(l) be the second derivative of l**3/6 + 7*l**2/2 - 11*l. Let w be h(-5). Suppose -83*q - q**2 - 4*q**2 + 79*q + q**w = 0. Calculate q.
-1, 0
Factor -4/3*m**4 + m**3 + 4/3*m**2 + 0 - 7/6*m + 1/6*m**5.
m*(m - 7)*(m - 1)**2*(m + 1)/6
Let s(w) be the first derivative of -w**4/10 - 4*w**3/5 - 8*w**2/5 + 204. Find f, given that s(f) = 0.
-4, -2, 0
Factor 4*w**3 - 7*w**3 + 20*w**2 + w + 3*w + 8*w**3 + 2*w**3 - 9*w**4.
-w*(w - 2)*(w + 1)*(9*w + 2)
Let q be ((-8)/6)/(12/(-18)). Let u be ((1 - 0)*4)/q. Factor a**2 - 6*a - 5*a + u*a**2 + 5*a.
3*a*(a - 2)
Let l(a) = -22*a**2 + 23*a - 41. Let y(o) = 9*o**2 - 11*o + 20. Let u(g) = 2*l(g) + 5*y(g). Factor u(z).
(z - 6)*(z - 3)
Let k(c) be the second derivative of 0 + 3/5*c**2 - 1/10*c**4 + 7*c + 8/15*c**3. Factor k(z).
-2*(z - 3)*(3*z + 1)/5
Let -100/3*m**3 - 390625/3 - 1250*m**2 - 1/3*m**4 - 62500/3*m = 0. What is m?
-25
Let o(r) be the third derivative of 1/1512*r**8 + 0*r**4 + 0*r + 0 - 1/945*r**7 + 0*r**3 - 2*r**2 + 1/270*r**5 - 1/540*r**6. Factor o(b).
2*b**2*(b - 1)**2*(b + 1)/9
Let b(o) = -5*o**3 - 153*o**2 - 1120*o - 980. Let t(s) = 2*s**2. Let l(z) = -b(z) - 4*t(z). Factor l(p).
5*(p + 1)*(p + 14)**2
Suppose 4*c - 2*r = 3*r + 67, 2*c + 3*r = 61. Suppose 4*g - 5*u - 21 = 0, 5*g + 2*u - 5*u - c = 0. Determine d so that 1/2*d**g + 0*d + 0 + 0*d**3 + 0*d**2 = 0.
0
Let c = 6200 + -6200. Determine i so that c + 2/15*i**2 + 2/5*i = 0.
-3, 0
Let g = 64 + -61. Solve -g*f + 6*f - f**2 - 3*f - f**3 = 0.
-1, 0
Let u = 120 + -121. Let y(m) = -m. Let q(p) = 3*p**2 + 12*p + 3. Let x(i) = u*q(i) - 6*y(i). Factor x(j).
-3*(j + 1)**2
Let s(j) be the first derivative of -j**6/9 + 6*j**5/5 + 25*j**4/6 - 50*j**3/9 - 28*j**2 - 88*j/3 + 771. Let s(b) = 0. Calculate b.
-2, -1, 2, 11
Suppose -1/3*o**3 - 4*o**2 + 0 + 13/3*o = 0. What is o?
-13, 0, 1
Let v(d) = -6*d**3 - 11*d**2 + 41*d - 52. Let y(k) = -k**3 - 4*k**2 + 2*k - 1. Let h(o) = -2*v(o) + 14*y(o). Factor h(z).
-2*(z - 1)*(z + 3)*(z + 15)
Let p be 1 + (-7)/5 + -7 + 2330/200. Find z such that -2 - 1/4*z**3 - p*z - 5/2*z**2 = 0.
-8, -1
Let g be (-154)/56*(-2)/(6 - -4). Let y(i) be the first derivative of 0*i**2 + g*i**4 + 12/25*i**5 + 2/15*i**3 + 4 - 3/10*i**6 + 0*i. Find t such that y(t) = 0.
-1/3, 0, 2
Let w be (-6)/21 - (-414)/(-21). Let z be 2/10 - 36/w. Factor -4*g**2 + 8*g**3 + 3*g**4 - 5*g**4 - z*g**4.
-4*g**2*(g - 1)**2
Find z, given that 1/2*z**4 + 135/2*z + 99/2*z**2 + 0 + 21/2*z**3 = 0.
-15, -3, 0
Determine c, given that 13*c - 2*c**3 + 12*c**2 + 12*c - 35*c = 0.
0, 1, 5
Let j = -652557/4 + 164550. Let v = 1418 - j. Suppose -v*l**3 + 15/2*l**2 - 13/4*l + 1/2 + 5/2*l**4 = 0. What is l?
2/5, 1/2, 1
Let d = 52 + -50. Factor 4*u + 11*u**d - 8*u**2 + 6*u + 2*u**2.
5*u*(u + 2)
Suppose -29*m - 48 = -97 - 38. Solve -3*j**2 + 7/4*j + 1/2 - 45/4*j**m = 0.
-1/3, 2/5
Let r be (5/15 + -1)/(-5). Let n(i) be the first derivative of r*i**3 - 2/5*i - 8 + 0*i**2. Factor n(p).
2*(p - 1)*(p + 1)/5
Let l(k) be the third derivative of k**5/180 - 7*k**4/24 + 6*k**3 + 125*k**2 + k. Factor l(f).
(f - 12)*(f - 9)/3
Let x = 43472/5 + -8694. What is z in -4/5*z + 6/5 - x*z**2 = 0?
-3, 1
Determine l, given that -928/15*l**2 + 58/15*l**3 - 224/15 + 2*l**4 + 184/3*l = 0.
-7, 2/5, 2/3, 4
Let g(t) be the first derivative of t**6/720 + t**5/48 - t**4/8 - 2*t**3/3 - 21. Let k(l) be the third derivative of g(l). Factor k(j).
(j - 1)*(j + 6)/2
Suppose -n = -4 + 3. Let p(r) = 19*r - 3*r**2 + n - 31 - 13. Let y(f) = 3*f**2 - 20*f + 44. Let i(d) = 4*p(d) + 5*y(d). Factor i(g).
3*(g - 4)**2
Let r(s) be the second derivative of 0 + 0*s**2 - 1/78*s**4 + 11*s + 1/13*s**3. Solve r(h) = 0 for h.