*4 - 1/20*p**5 - 38 - 100*p - 46/3*p**3 - 60*p**2. Factor k(x).
-(x + 2)**2*(x + 10)**2/4
Let n(o) be the second derivative of o**5/4 + 5*o**4 - 765*o**3/2 + 6075*o**2 - 2078*o. Factor n(u).
5*(u - 9)**2*(u + 30)
Let w = -120 - -134. Factor -24*x + w*x + 2*x**4 + 15*x**2 + 18*x**3 + x**4 - 26*x.
3*x*(x - 1)*(x + 3)*(x + 4)
Let n be (-24)/(-4) + 25 + -27. Let d(v) = v**2 + 39*v - 168. Let f be d(n). Factor -7/5*j**3 - 1/5*j**f - 4/5 - 3*j**2 - 13/5*j.
-(j + 1)**3*(j + 4)/5
Suppose 0 = 794*w - 1006*w. Suppose w*o + 0 + 1/2*o**4 - 1/2*o**2 + 5/8*o**3 - 5/8*o**5 = 0. Calculate o.
-1, 0, 4/5, 1
Let f = -797 + 795. Let y be (-24)/f + (-399)/38. Factor 21/8*g - 3/8*g**3 - y - 3/4*g**2.
-3*(g - 1)**2*(g + 4)/8
Let s(d) be the first derivative of 43 + 0*d - 1/30*d**6 + 5/6*d**4 + 43/2*d**2 - 2*d**3 - 1/15*d**5. Let o(t) be the second derivative of s(t). Solve o(z) = 0.
-3, 1
Let d = 317 + -311. Suppose 6 = -2*j + 2*h, -4*h + 20 - d = -3*j. Factor 98*k + 1372/3 + 1/6*k**3 + 7*k**j.
(k + 14)**3/6
Let z(h) = h**2 + 65*h + 877. Let k be z(-46). What is w in -16/3*w - 10/3 + 1/6*w**4 - 1/2*w**2 + 5/3*w**k = 0?
-10, -1, 2
Let w(n) be the second derivative of -41/42*n**4 + 22/21*n**3 - 48*n + 0 + 3*n**2 - 1/35*n**5. Suppose w(u) = 0. Calculate u.
-21, -1/2, 1
Let q(p) = 7*p**2 - 3652*p - 11261. Let c(t) = 3*t**2 - 1213*t - 3754. Let y(b) = -11*c(b) + 4*q(b). Find m, given that y(m) = 0.
-250, -3
Suppose 4*p - 2*u = 7*p - 30, 5*p - 4*u = 50. Find b, given that 32 - 9*b**4 + 40*b**2 + 101*b**5 + 72*b + 0*b**4 - p*b**3 - 103*b**5 - 3*b**4 = 0.
-4, -2, -1, 2
Let j(s) be the first derivative of 0*s**2 - 4/11*s**4 + 14/33*s**3 + 0*s + 2/55*s**5 + 233. Let j(b) = 0. Calculate b.
0, 1, 7
Suppose -89*h + 91*h = 3*b - 23, 4*b + 4*h = 64. Let r(y) be the second derivative of b*y + 0*y**3 - 3/80*y**5 + 0*y**2 + 1/16*y**4 + 0. Factor r(v).
-3*v**2*(v - 1)/4
Suppose 350*p - 353*p = 27. Let r be p/4 - 33/(-12). Solve 5/4*l + 1/4*l**3 - l**2 - r = 0.
1, 2
Let g(h) be the second derivative of h**4/4 - 19*h**3/2 - 435*h**2 - 2292*h. Find k such that g(k) = 0.
-10, 29
Let i(t) = t**2 + 135*t + 408. Let v be i(-3). Let x(b) be the second derivative of 0*b**2 + 1/110*b**5 + 0*b**4 - v*b + 0 - 1/33*b**3. Factor x(r).
2*r*(r - 1)*(r + 1)/11
Let b be -4 + 114/27 + (-1025)/(-45). Suppose -38*i = -23 + b. Find h, given that 0*h + i - 1/2*h**2 = 0.
0
Let q be (-6)/(-14) - 39/(-21). Let r be 4 - ((-38 - (-3128)/85) + 32/10). Suppose -16/7*x + 4/7*x**4 + 0 + 4/7*x**3 - q*x**r = 0. What is x?
-2, -1, 0, 2
Let k be 11/((-1144)/96)*6. Let c = 445/78 + k. Suppose 1/6 - c*t**3 - 1/6*t**2 + 1/6*t = 0. Calculate t.
-1, 1
Suppose -292*r + 306*r = 16380. Let z = 1170 - r. Let -4/7*v**5 + 4*v**3 + z + 24/7*v + 52/7*v**2 - 4/7*v**4 = 0. What is v?
-2, -1, 0, 3
Let x(m) be the second derivative of m**6/90 - m**5/10 - 9*m**4/4 - 65*m**3/9 + 23*m + 1. Factor x(f).
f*(f - 13)*(f + 2)*(f + 5)/3
Let a(g) be the third derivative of -g**7/6 - 29*g**6/24 + 31*g**5/12 + 25*g**4/24 + 1526*g**2. Let a(v) = 0. What is v?
-5, -1/7, 0, 1
Let i(z) be the first derivative of -z**5/30 + 3*z**4/10 + 8*z**3/15 + 173*z**2/2 - 205. Let p(g) be the second derivative of i(g). Factor p(l).
-2*(l - 4)*(5*l + 2)/5
Let m = 35 - 19. Suppose m = y + 10. Factor -18 - 16*j + 9*j**2 - 2*j**2 + j**2 - y*j**2.
2*(j - 9)*(j + 1)
Let g(m) = m**2 + 3*m. Let w be -140*(2 + 20/(-8)). Let p(y) = -y**2 + 0 + w*y - 1 + 0*y**2 - 74*y. Let i(z) = -3*g(z) - 2*p(z). Find l, given that i(l) = 0.
-2, 1
Let t(z) = 17*z + 239*z**2 - 130*z**2 - 114*z**2 - 82. Let i(k) = -2*k**2 + 6*k - 28. Let q(s) = 17*i(s) - 6*t(s). Determine c so that q(c) = 0.
-2, 2
Let i(c) be the second derivative of c**8/420 - c**7/42 - c**6/90 + c**5/6 + 38*c**3/3 - c - 54. Let y(g) be the second derivative of i(g). Factor y(m).
4*m*(m - 5)*(m - 1)*(m + 1)
Let x(g) be the third derivative of 9*g**5/25 + 13*g**4/20 + 2*g**3/15 - 3283*g**2. Let x(z) = 0. Calculate z.
-2/3, -1/18
Let k(a) be the third derivative of 0*a**3 - 1/30*a**5 + 2 + 12*a**2 - 1/12*a**4 + 0*a + 1/105*a**7 + 1/60*a**6. Factor k(z).
2*z*(z - 1)*(z + 1)**2
Let p(w) be the second derivative of -307*w**5/5 + 616*w**4/3 - 622*w**3/3 + 4*w**2 - 2755*w. Factor p(x).
-4*(x - 1)**2*(307*x - 2)
Suppose 52 = 4*o - 4*z, 4*z = -o - 0*z + 8. Let x be (120/160)/(1 - (-75)/(-84)). Suppose k**4 - x*k**4 + 10*k**4 - 8*k**3 - o*k**2 = 0. Calculate k.
-1, 0, 3
Let h(f) = 3*f**2 - 132*f. Suppose -3*d - 19*b + 127 = -14*b, -5*b - 137 = -3*d. Let u be h(d). Factor -2/5*g**2 + u*g - g**3 + 0.
-g**2*(5*g + 2)/5
Let l(y) be the third derivative of 8 + 0*y + 1/120*y**6 + 3/8*y**4 + 2*y**2 + 1/10*y**5 + 0*y**3. What is j in l(j) = 0?
-3, 0
Let l = -8136 + 8143. Let k(v) be the second derivative of 0*v**3 + 1/6*v**6 + 4*v + 0 - 5/42*v**l + 0*v**4 + 0*v**2 + 1/2*v**5. Find m, given that k(m) = 0.
-1, 0, 2
Let m(n) = 17*n**5 - 24*n**4 - 66*n**3 - 72*n**2 - 21*n. Let g(c) = -10*c**5 - 3*c. Let p(k) = -2*g(k) - m(k). Factor p(y).
3*y*(y + 1)**2*(y + 3)**2
Let v(t) be the second derivative of -t**5/20 - 47*t**4/12 + 2*t**3/3 + 94*t**2 - 89*t. Factor v(d).
-(d - 2)*(d + 2)*(d + 47)
Let v(k) = 36*k**2 - 28*k - 5. Let a be v(-8). Let h = 17701/7 - a. Factor -160/7*i - h*i**2 + 128/7 + 2/7*i**5 + 50/7*i**3 + 20/7*i**4.
2*(i - 1)**2*(i + 4)**3/7
Suppose 5*n - 6095 = 5*f, 0 = -f - 1. Let y = -1216 + n. Suppose 0 - 9/5*x**3 + 6*x**y - 9/5*x = 0. What is x?
0, 1/3, 3
Let f be 191 - 3 - (2 - 8). Find a such that -10*a**2 + 150*a**3 + 2*a**2 + 84*a**5 - 32*a**4 - f*a**3 = 0.
-1/3, -2/7, 0, 1
Let v(r) be the second derivative of -r**4/16 + 157*r**3/4 - 73947*r**2/8 + 6*r - 444. What is w in v(w) = 0?
157
Solve -75/2*w**3 + 675*w**2 - 10125/2*w + 3/4*w**4 + 50625/4 = 0 for w.
5, 15
Let x(a) be the third derivative of -3*a**3 - 15*a - 1/3*a**5 - 4*a**2 - 37/24*a**4 - 1/120*a**6 + 0. Factor x(c).
-(c + 1)**2*(c + 18)
Let h be (125 + -125)*(-3)/(-15). Let p(a) be the third derivative of h + 0*a**3 - 1/60*a**4 - 1/300*a**6 + 0*a - 1/75*a**5 - 20*a**2. Solve p(t) = 0.
-1, 0
Factor 50 + 348/7*u - 2/7*u**2.
-2*(u - 175)*(u + 1)/7
Let l be (-749)/49 - (28 - 45). Determine p so that l*p + 16*p**3 + 20/7*p**5 + 78/7*p**4 - 2/7 + 68/7*p**2 = 0.
-1, 1/10
Suppose -3*v = 4*s - 32, 15*s = 11*s - 5*v + 48. Determine n so that 20/11*n - 2/11*n**s + 2 = 0.
-1, 11
Suppose 15 = 113*l - 108*l. Suppose l + 0 = i. Let -2*h**i + 5*h + 4 + 4*h - 3*h = 0. Calculate h.
-1, 2
Let s be 594 + -594 - 180/(-16). Factor -s*p**3 + 0*p - 21/4*p**4 - 27/4*p**2 - 3/4*p**5 + 0.
-3*p**2*(p + 1)*(p + 3)**2/4
Let i(h) = -160*h**2 + 780*h - 1466. Let p(f) = 34*f**2 - 156*f + 293. Let u(m) = -3*i(m) - 14*p(m). Factor u(r).
4*(r - 37)*(r - 2)
Let y = 346573/5 - 69314. Solve -1/5*d**4 - 4/5 - 4/5*d + 2/5*d**3 + y*d**2 = 0 for d.
-1, 2
Let d = -768240 - -6914162/9. Factor 0*w + 0 - 14/9*w**2 - d*w**3.
-2*w**2*(w + 7)/9
Factor 0*n**2 - 2/7*n**5 - 12/7*n**3 + 0 + 0*n - 2*n**4.
-2*n**3*(n + 1)*(n + 6)/7
Let i(c) be the third derivative of -c**7/210 - 17*c**6/120 - 29*c**5/60 + 17*c**4/24 + 5*c**3 + 890*c**2 + 3. Suppose i(r) = 0. What is r?
-15, -2, -1, 1
Factor -1/4*s**5 - s + 3/2*s**4 - 13/4*s**3 + 0 + 3*s**2.
-s*(s - 2)**2*(s - 1)**2/4
Let z(h) = 14*h**2 - 12*h - 5. Let g(c) = 3*c**2 - 1. Let i(l) = 20*g(l) - 4*z(l). Factor i(b).
4*b*(b + 12)
Let v be ((-8)/6)/((-221)/39 + 5). Let q(l) be the third derivative of 0*l + 0*l**3 + 1/20*l**5 + 7*l**v + 0 + 1/8*l**4. Factor q(w).
3*w*(w + 1)
Let i(k) = -3*k**2 - 9*k. Suppose 0 = -12*a + 13468 - 13408. Let d(z) = 2*z**2 + 8*z + 10*z + 4*z**2. Let j(q) = a*i(q) + 3*d(q). Solve j(p) = 0.
-3, 0
Let u(g) be the first derivative of -g**5/20 + 43*g**4/2 + 1039*g**3/12 + 347*g**2/4 + 573. Find j such that u(j) = 0.
-2, -1, 0, 347
Let m(s) = -7*s**2 + 11*s - 40. Let v(b) = 3*b**2 - 5*b + 18. Let f(g) = 4*m(g) + 9*v(g). Factor f(r).
-(r - 1)*(r + 2)
Let j(o) = 3*o**3 + 47*o**2 - 11*o + 50. Let p be j(-16). Let r be (-10)/8*72/p. Let -27/5*l**4 - 354/5*l**2 + 276/5*l + 171/5*l**r - 72/5 = 0. Calculate l.
2/3, 2, 3
Let z(u) be the first derivative of -5*u**4/16 - 71*u**3 + 345*u**2/2 + 172*u - 843. Find j, given that z(j) = 0.
-172, -2/5, 2
Let b(k) be the third derivative of k**8/1176 - 13*k**7/735 - 23*k**6/420 + 39*k**5/70 + 3*k**4/2 + 569*k**2 + 1. Suppos