*j - 14 - 1/25*v**5 + 0*v**4. Determine c, given that x(c) = 0.
-2, 0, 1
Suppose 5*u = -0*u + 75. Suppose u*i - 11*i = 8. Suppose 6*l**3 - 6*l**2 - 5*l**3 + 8*l**i = 0. What is l?
-2, 0
Let z = 11 + 52. Factor -5*r**4 + 5*r**3 - 7*r + 7*r - 53*r**2 + z*r**2.
-5*r**2*(r - 2)*(r + 1)
Let j(r) be the third derivative of r**6/20 - r**5/15 - r**4/4 - 17*r**2 - 1. Let b(o) = 5*o**3 - 4*o**2 - 4*o. Let i(z) = -4*b(z) + 3*j(z). Factor i(u).
-2*u*(u - 1)**2
Let d(m) be the third derivative of m**5 + 8*m + 8/3*m**3 + 0 - 8/105*m**7 - 10/3*m**4 + 1/6*m**6 + m**2. Let d(g) = 0. What is g?
-2, 1/4, 1, 2
Let k(j) be the third derivative of -2*j**7/105 - 8*j**6/5 - 698*j**5/15 - 476*j**4 - 1470*j**3 - 483*j**2. Factor k(b).
-4*(b + 1)*(b + 5)*(b + 21)**2
Let z(c) be the first derivative of -2*c**3/21 - 115*c**2 - 1608*c/7 + 2542. Determine n so that z(n) = 0.
-804, -1
Let u be -5 - (-1)/(4/6)*(-187)/(-51). Let k(h) be the second derivative of 1/4*h**4 + 1/3*h**3 - u*h**2 + 0 + 23*h. Solve k(o) = 0 for o.
-1, 1/3
Let c = -1/38 - -79/114. Let k = 108/13 - 194/39. Let -6 + k*l**2 + 2*l + c*l**3 = 0. Calculate l.
-3, 1
Let q(f) = f**4 - 3*f**3 + 2*f - 1. Let u(n) = 24*n**4 - 62*n**3 - 8*n**2 + 28*n - 22. Let a(r) = -44*q(r) + 2*u(r). Factor a(m).
4*m*(m - 2)*(m + 2)**2
Let y(d) be the third derivative of -d**8/26880 - d**7/1120 - d**6/120 + d**5/15 + d**4/12 - 23*d**2 - d. Let c(n) be the third derivative of y(n). Factor c(o).
-3*(o + 2)*(o + 4)/4
Let m(s) be the first derivative of 25/3*s - 13/3*s**2 + 1/9*s**3 - 130. Determine y so that m(y) = 0.
1, 25
Let j(k) be the third derivative of -16*k**7/21 + 21*k**6/5 - 47*k**5/5 + 32*k**4/3 - 6*k**3 - 4453*k**2. Find c such that j(c) = 0.
1/4, 9/10, 1
Let d(y) be the third derivative of -y**5/480 - 589*y**4/96 - 346921*y**3/48 - y**2 + 166*y. Factor d(c).
-(c + 589)**2/8
Let x(r) be the first derivative of r**6/120 - 9*r**5/10 + 81*r**4/2 - 972*r**3 - 19*r**2 + 81. Let a(y) be the second derivative of x(y). Factor a(h).
(h - 18)**3
Let j(g) be the third derivative of -g**5/210 - 101*g**4/14 - 30603*g**3/7 + 4*g**2 - 125*g. Factor j(a).
-2*(a + 303)**2/7
Let f(h) be the third derivative of -h**8/221760 - h**7/55440 - h**5/15 + 5*h**3/6 - h**2 - 17. Let w(m) be the third derivative of f(m). Factor w(q).
-q*(q + 1)/11
Suppose -3*l - 21 = s, 11*l - 2*l - 8*l = -7. Factor 0 + 1/2*i**3 + 0*i**2 - 1/6*i**4 + s*i.
-i**3*(i - 3)/6
Suppose 2*x - 3*u - 62 = -68, -3*u + 3 = -3*x. Let c(t) be the first derivative of -10*t + 15 + 5/2*t**2 + 5/3*t**x. Factor c(g).
5*(g - 1)*(g + 2)
Suppose 11 = 4*f - 1. Suppose -f - 15 = -9*h. Factor 15*d**2 + 16*d**h - 28*d**2 - 3*d**4.
-3*d**2*(d - 1)*(d + 1)
Let x(i) = i**2 + 3*i - 4. Suppose -2*u - s = -0*s + 12, 5*u + 30 = s. Let h(b) = -b**2 - 754*b + 3 + 340*b + 411*b. Let f(d) = u*h(d) - 5*x(d). Factor f(t).
(t + 1)*(t + 2)
Let s(d) be the third derivative of 5*d**8/336 - 41*d**6/24 - 13*d**5 - 265*d**4/6 - 80*d**3 - 5*d**2 + 41*d - 1. Determine n, given that s(n) = 0.
-3, -2, -1, 8
Suppose 2669*t - 935 = 2668*t. Let a be (66/t)/(6/20). Let 0 + a*k**3 + 8/17*k + 2/17*k**4 - 14/17*k**2 = 0. What is k?
-4, 0, 1
Suppose 350 + 2/5*q**2 - 72*q = 0. Calculate q.
5, 175
Let f = 643/232650 - 2/2115. Let k = 271/2200 + f. Factor 1/8*o**2 + 0*o - k.
(o - 1)*(o + 1)/8
Let s(y) be the first derivative of 171 - 30*y - 9/2*y**2 + y**3. Factor s(p).
3*(p - 5)*(p + 2)
Let q(j) be the second derivative of 17*j**7/70 - 21*j**6/10 - 177*j**5/50 + 63*j**4/10 + 101*j**3/10 - 63*j**2/10 + 2946*j. Let q(b) = 0. Calculate b.
-1, 3/17, 1, 7
Let t be ((-19)/18 - -1)/((-4405)/5286). Let j(y) be the third derivative of 0 + 16*y**2 + 0*y + 2/3*y**4 + 2*y**3 + t*y**5. Factor j(h).
4*(h + 1)*(h + 3)
Let p(z) be the third derivative of -1/4*z**5 + 1/24*z**6 - 3*z**2 + 0*z - 4 + 5/2*z**3 - 5/24*z**4. Factor p(f).
5*(f - 3)*(f - 1)*(f + 1)
Let a = 4239/460 - 3549/460. Factor 141/2*u - 69 - a*u**2.
-3*(u - 46)*(u - 1)/2
Suppose 0 = 4*d + 4*w - 16, 76*w + 16 = 6*d + 78*w. Factor -16 + 8/3*i**3 - 80/3*i + 4/3*i**4 - 28/3*i**d.
4*(i - 3)*(i + 1)*(i + 2)**2/3
Factor 859 - 2*w**4 - 454 - 1210*w + 3*w**4 + 1200*w**2 - 6*w**4 - 390*w**3.
-5*(w - 1)**3*(w + 81)
Let j = 3456 - 3452. Let a(r) be the third derivative of 0*r**3 + 0*r - 1/16*r**j + 0 + 1/40*r**5 + 19*r**2. Suppose a(l) = 0. What is l?
0, 1
Let t(y) be the second derivative of 0*y**2 + 6*y - 10/3*y**3 + 1/3*y**4 + 1. Suppose t(x) = 0. Calculate x.
0, 5
Suppose -4*y - 4 = 0, -y = -3*s - 44 + 138. Suppose 0 = -3*g + 3*z - 10 + s, 32 = 4*g - 5*z. Factor 0 + 15/4*u**2 - g*u - 3/4*u**3.
-3*u*(u - 4)*(u - 1)/4
Let j(f) be the second derivative of 5*f**4/12 + 265*f**3 + 126405*f**2/2 - 3*f + 42. Let j(m) = 0. Calculate m.
-159
Let c(y) be the third derivative of 29*y**5/180 - 25*y**4/72 - 2*y**3/9 - 1092*y**2. Factor c(g).
(g - 1)*(29*g + 4)/3
Let h(r) be the second derivative of r**4/20 - 192*r**3/5 + 55296*r**2/5 + 1710*r. Suppose h(b) = 0. What is b?
192
Let t(u) = 530*u**2 + 730*u - 205. Let v(c) = 31*c**2 + 43*c - 12. Let b(q) = -2*t(q) + 35*v(q). Suppose b(w) = 0. What is w?
-2, 1/5
Suppose 25 = 13*p + 64. Let z(y) = 2*y**3 + 8*y**2 + 5*y + 1. Let h be z(p). Let -3*v + 4*v**3 - 12*v - h*v**2 + 16 - v = 0. What is v?
-2, 1, 2
Let s(i) be the second derivative of -i**5/120 + 23*i**4/72 + 49*i**3/36 + 25*i**2/12 - 438*i - 1. Factor s(h).
-(h - 25)*(h + 1)**2/6
Let k = 173957/4 + -43358. Let -k*q**2 - 343/4 - 735/4*q - 125/4*q**3 = 0. Calculate q.
-7/5
Let n(s) = -s**2 + 10*s - 3. Let o be n(7). Let l be 8/(-48) + 39/o. Let 6*f - 16*f**3 + 22*f + 24*f**2 - 88*f**2 - 44*f**l = 0. Calculate f.
-7, 0, 1/4
Let c(u) be the second derivative of 9/100*u**5 - 22*u - 1/70*u**7 + 0 - 1/5*u**4 + 0*u**2 - 2/5*u**3 + 1/25*u**6. Suppose c(w) = 0. Calculate w.
-1, 0, 2
Let y(c) = -c**4 - 2*c**2 - c. Let k(p) = 2*p**5 - 20*p**4 + 8*p**3 - 20*p**2 - 10*p. Let s(a) = 2*k(a) - 20*y(a). Factor s(j).
4*j**3*(j - 4)*(j - 1)
Let a(u) be the second derivative of u**4/30 + 2908*u**3/15 + 2114116*u**2/5 - 40*u + 2. Determine d, given that a(d) = 0.
-1454
Suppose 23 = f - j + 19, f - 4*j = -5. Solve -f*c**3 - 231*c**3 - 15*c**2 - 62*c**3 - 5*c - 80*c**2 = 0 for c.
-1/4, -1/15, 0
Solve -3*f**4 + 11172 - f**4 + 544*f**2 - 505*f - 56*f**3 - 10752 + 0*f**4 - 399*f = 0 for f.
-21, 1, 5
Suppose -111 = -32*s + 33*s. Let i be ((2 + -1)/5)/(s/(-1665)). Factor -6/5*j + 4/5 + 2/5*j**i + 0*j**2.
2*(j - 1)**2*(j + 2)/5
Let k(n) = 634*n - 5070. Let a be k(8). Let x(u) be the second derivative of 1/3*u**4 + 8*u + 24*u**a + 0 - 26/3*u**3. Factor x(g).
4*(g - 12)*(g - 1)
Let t(q) = 10*q + 63. Let n be t(-6). Find b such that b**2 + 2*b**2 + 5*b**4 + 19*b + n*b**3 - 4*b**2 - 20*b + 2*b**5 = 0.
-1, 0, 1/2
Let s(h) be the second derivative of -3 - 3/8*h**4 - 6*h - 25/4*h**3 - 6*h**2. Factor s(r).
-3*(r + 8)*(3*r + 1)/2
Let t(u) be the third derivative of -u**6/12 - 59*u**5/15 - 179*u**4/12 - 22*u**3 + 5*u**2 + u. Solve t(z) = 0 for z.
-22, -1, -3/5
Suppose -1768/3*r**3 - 192*r**5 + 0 - 16/3*r + 356/3*r**2 + 908*r**4 = 0. Calculate r.
0, 1/16, 1/3, 4
Let p(u) = -23066*u - 322924. Let q be p(-14). Let -24*d - 4/3*d**2 + q = 0. Calculate d.
-18, 0
Determine r, given that 98/5*r**3 - 1/5*r**4 + 8836/5*r - 517*r**2 + 0 = 0.
0, 4, 47
Let z = 167978 + -671905/4. Let -18 - 93*h - 279/4*h**3 - 247/2*h**2 - z*h**5 - 18*h**4 = 0. Calculate h.
-3, -2, -2/7
Let k(z) be the first derivative of 6/5*z**5 + 6*z**2 - 281 + 3/4*z**4 - 1/6*z**6 - 20/3*z**3 + 0*z. Factor k(p).
-p*(p - 6)*(p - 1)**2*(p + 2)
Let u = 239 + -229. Suppose u*a = -4*p + 7*a + 22, 2*p = 4*a. Determine s so that -4/5 - 1/5*s**5 + 8/5*s - 1/5*s**2 + s**p - 7/5*s**3 = 0.
-1, 1, 2
Let u(g) be the third derivative of 1/3*g**5 + 42*g**2 + 1/10*g**6 - 8/3*g**3 - 2/105*g**7 + 0*g - 1/2*g**4 + 0. Factor u(z).
-4*(z - 4)*(z - 1)*(z + 1)**2
Let b = 22/4053 + 15970/44583. Solve 0*v + 2/11*v**3 - b*v**2 + 0 = 0.
0, 2
Let h(c) = 4*c**2 - 31*c**2 + 9*c**3 + 77*c**2 + 21*c**3. Let k(d) = -31*d**3 - 49*d**2 + 2*d. Let j(x) = -6*h(x) - 5*k(x). Factor j(b).
-5*b*(b + 2)*(5*b + 1)
Suppose -7290 + 45*b**3 - 1972*b**2 + 48573*b + 4392*b**2 - 16308*b = 0. What is b?
-27, 2/9
Let s(c) be the first derivative of -c**5/270 - 7*c**4/18 - 49*c**3/3 + 53*c**2/2 - c - 121. Let h(u) be the se