1/48*k**4 + 0*k**z + 0 - 1/120*k**6 - k + 1/336*k**7 - 1/48*k**3. Solve a(q) = 0.
-1, 0, 1
Let v(h) = 5*h**4 + 58*h**3 + 136*h**2 + 77*h - 3. Let b(u) = 60*u**4 + 695*u**3 + 1630*u**2 + 925*u - 35. Let l(j) = 3*b(j) - 35*v(j). Factor l(k).
5*k*(k + 1)*(k + 2)*(k + 8)
Let -29*i**4 + 584*i - 45 - 64*i - 2*i**5 + 116*i**2 - 11*i**4 - 194*i**3 - 355 = 0. What is i?
-10, -2, 1
Let g(z) be the first derivative of -z**5/25 - 9*z**4/10 + z**3/5 + 26*z**2/5 - 36*z/5 + 300. Solve g(k) = 0.
-18, -2, 1
Let h(r) = -6*r + 6. Let a be h(0). Let k(q) = q**2 - 3*q - 15. Let f be k(a). Let 4/7*l**f + 0*l**2 + 0 + 0*l + 6/7*l**4 = 0. Calculate l.
-2/3, 0
Let b be (-44)/(-33)*(-2)/(-8). Let f = -162 + 164. Factor -17/6*x - 6*x**f - b.
-(4*x + 1)*(9*x + 2)/6
Factor 327 - 7 + 439 - 1428*m**2 - 73 - 10*m**4 + 208*m**3 + 3136*m.
-2*(m - 7)**3*(5*m + 1)
Let l = -147 - -149. Let b be (l - (-28)/(-16)) + (-2)/8. Factor b + 0*m - 1/4*m**4 + 1/2*m**3 - 1/4*m**2.
-m**2*(m - 1)**2/4
Let t = -25 + 28. Suppose 0 = t*q - 3*p - 18, p + 18 = 8*q - 3*q. Factor 0 + 0*a + 0*a**4 + 2/3*a**5 + 0*a**2 + 0*a**q.
2*a**5/3
Let s(p) be the first derivative of -p**6/18 + p**5/5 + p**4/6 - 2*p**3/3 - p**2/6 + p - 54. Find a, given that s(a) = 0.
-1, 1, 3
Let f(p) = 6*p**2 - p. Let s be f(-1). Suppose 5 = s*l - 9. Factor -37*c**4 + 7*c**3 + 32*c**5 - 11*c**4 - l*c**2 + 11*c**3.
2*c**2*(c - 1)*(4*c - 1)**2
Let b be 4/(-10) + (-12)/(-5) - 250/(-250). Find p such that 8/3 + 20*p + 49/3*p**b + 42*p**2 = 0.
-2, -2/7
Suppose 4*g = -n + 50, 3*n + 5 + 13 = 2*g. Let w be -4 + 3 - ((-32)/g - 1). Factor 40/3*k**2 - 6*k**3 - w*k + 0.
-2*k*(k - 2)*(9*k - 2)/3
Let o(y) be the third derivative of 0*y**7 + 0*y**4 + 0*y + 1/336*y**8 - 21*y**2 - 1/120*y**6 + 0*y**5 + 0 + 0*y**3. Factor o(u).
u**3*(u - 1)*(u + 1)
Let m(x) = -x**2 + 17*x - 15. Let p be m(16). Let k(b) = -b**2 - b - 1. Let w(v) = -2*v**2 - 3*v - 4. Let n(l) = p*w(l) - 3*k(l). Find c such that n(c) = 0.
-1, 1
What is y in 24/5 + 16*y**2 - 8/5*y**4 + 4/5*y**5 - 76/5*y - 24/5*y**3 = 0?
-3, 1, 2
Suppose -5*d + 2*d = 4*t - 11, d = 3*t + 8. Let c be (t/((-6)/(-8)))/(2/(-3)). Factor 0 - 1/5*k**c + 2/5*k.
-k*(k - 2)/5
Let h = -172 - -236. Let p be -4*(-4)/h - (-1)/4. Factor 0 - b - p*b**2.
-b*(b + 2)/2
Let z(u) be the third derivative of -u**8/26880 - u**7/3360 - u**6/960 + 3*u**5/20 + 14*u**2. Let c(h) be the third derivative of z(h). Factor c(s).
-3*(s + 1)**2/4
Let y = 101 - 102. Let m(f) = -f**2 + f. Let i(t) = -5*t**3 - 4*t**2 + 9*t. Let l(c) = y*i(c) + 4*m(c). Factor l(d).
5*d*(d - 1)*(d + 1)
Let z = 934/767 - -28/59. Factor -70/13*n - 2/13*n**3 - z*n**2 - 50/13.
-2*(n + 1)*(n + 5)**2/13
Suppose -7*v + 13*v = -216. Let g = v - -38. What is j in 1/2*j**g - 1/2 - 1/2*j + 1/2*j**3 = 0?
-1, 1
Let p(i) be the second derivative of -i**7/6300 + i**6/600 + i**5/75 + 29*i**4/12 - 4*i. Let m(h) be the third derivative of p(h). Factor m(j).
-2*(j - 4)*(j + 1)/5
Let d(a) = -a**5 + a**4 - 6*a**3 - 12*a**2 + 6*a. Let j(x) = -x**5 + 2*x**4 - 6*x**3 - 10*x**2 + 5*x. Let t(w) = 5*d(w) - 6*j(w). Suppose t(z) = 0. Calculate z.
0, 1, 6
Let j be 4/6 - (-2)/(-3). Suppose 0 = -k - j + 3. Factor -c**k + 6*c**2 + 0*c**3 - 7*c**2 + 2*c.
-c*(c - 1)*(c + 2)
Let x(g) = -g**3 - g**2 - g + 2. Let f be x(0). What is u in 44*u**f + 2*u**3 - 52*u**2 + 0*u**3 + 8*u = 0?
0, 2
Let b(n) be the first derivative of -3/20*n**4 - 3/5*n**3 + 0*n**2 - 14 + 12/5*n. Factor b(s).
-3*(s - 1)*(s + 2)**2/5
Let a be (-4)/10*190/(-342). Suppose -14 = 3*k + 5*f, f - 2*f = -4*k + 12. Factor 4/9*d**k + a*d**4 + 0 + 0*d + 2/3*d**3.
2*d**2*(d + 1)*(d + 2)/9
Let b(a) = -a**2 - 157*a + 1853. Let z be b(11). Find n, given that 10*n**2 - 5/2*n**3 + z - 25/2*n = 0.
1, 2
Let h(r) be the first derivative of 2*r**4/3 + 2*r**3/9 - 9*r - 4. Let l(s) be the first derivative of h(s). Let l(a) = 0. What is a?
-1/6, 0
Let m(k) be the second derivative of -k**4/3 - 38*k**3/3 - 36*k**2 - 21*k + 3. Factor m(p).
-4*(p + 1)*(p + 18)
Let o be 2/6 + (-7 - (-10052)/1416). Let c = o - -4/59. Find j, given that -c - 1/4*j**2 + 3/4*j = 0.
1, 2
Let s(r) = 10*r**3 + 8*r**2 - 32*r - 38. Let n(i) = -54*i**3 - 39*i**2 + 159*i + 188. Let a(x) = 2*n(x) + 11*s(x). Factor a(m).
2*(m - 3)*(m + 1)*(m + 7)
Factor 5/3 - 1/6*g**3 - 2/3*g**2 + 7/6*g.
-(g - 2)*(g + 1)*(g + 5)/6
Suppose -2 = 5*u - 17. Factor -2*v + 37*v**2 - 13*v**2 - 4*v**u + 8*v**3 + 38*v.
4*v*(v + 3)**2
Let a be 12/1 - (-2511)/(-217). Factor 9/7*w**4 + 0*w**2 + 0*w + 0 + 6/7*w**3 + a*w**5.
3*w**3*(w + 1)*(w + 2)/7
Let i(k) be the second derivative of 2/3*k**3 - 21*k + 1/2*k**4 + 0 + 1/10*k**5 + 0*k**2. What is g in i(g) = 0?
-2, -1, 0
Let i(h) be the first derivative of -8/9*h + 2/27*h**3 + 0*h**2 - 1. Let i(x) = 0. What is x?
-2, 2
Solve 484 + 1/4*f**2 - 22*f = 0.
44
Suppose 4*t = 2*t + 40. Suppose t = 3*c + 5. Suppose 3*z**5 + 3*z**4 - 6*z**2 - 2*z**2 + 6*z - 9*z**3 + c*z**2 = 0. Calculate z.
-2, -1, 0, 1
Suppose 1/3*q**3 - 6*q - 11/3*q**2 + 24 = 0. Calculate q.
-3, 2, 12
Let s be (2 + -3)/((-19)/38). Find t such that -5/4*t**5 - 5/4*t**4 - 5/4*t - 5/4 + 5/2*t**s + 5/2*t**3 = 0.
-1, 1
Let l = -14 + 19. Solve 8*j**2 + 4*j**3 - 9*j - 4 + l*j - 4 = 0 for j.
-2, -1, 1
Let c(g) be the first derivative of g**7/357 + g**6/255 - g**5/85 - 17*g - 44. Let p(x) be the first derivative of c(x). Factor p(b).
2*b**3*(b - 1)*(b + 2)/17
Suppose -8 = -4*a + 2*a. Factor -2 + w**2 + w + 23 - 19*w - a*w**2.
-3*(w - 1)*(w + 7)
Let t(d) be the second derivative of d**6/120 - d**5/20 + d**4/24 + d**3/6 - 3*d**2/8 - 135*d. Suppose t(q) = 0. What is q?
-1, 1, 3
Let k(s) = -s**2 + 20 - 2*s + 3*s + 5*s - 2*s. Let l(u) = 2*u**2 - 3*u - 20. Let b(o) = 3*k(o) + 4*l(o). Let b(m) = 0. Calculate m.
-2, 2
Let m(l) be the second derivative of 11*l**5/25 + 4*l**4/3 - 8*l**3/15 + 287*l. Solve m(o) = 0.
-2, 0, 2/11
Let z(h) = h**3 - 10*h. Let k(p) = p**3 - 5*p. Let t(g) = g**3 - 21*g**2 - 21*g - 26. Let l be t(22). Let i(o) = l*z(o) + 9*k(o). Factor i(m).
5*m*(m - 1)*(m + 1)
Let y(n) be the second derivative of -n**4/4 + 9*n**3/2 + 15*n**2 + 31*n - 2. Suppose y(h) = 0. What is h?
-1, 10
Find u such that 0 - 3/2*u**2 - 3/4*u**3 + 9/4*u = 0.
-3, 0, 1
Let f be 96/88 - (-420)/(-385). Let x = 4 - 2. Factor -1/3*y**3 + f*y + 0 - 1/3*y**4 + 1/3*y**x + 1/3*y**5.
y**2*(y - 1)**2*(y + 1)/3
Suppose -40 + 27 = -5*s + p, 0 = 3*s - 3*p - 3. Solve 0*w**2 + 2*w - 4/3 - 2/3*w**s = 0.
-2, 1
Determine w, given that 18*w**4 + 108*w - 24*w**3 + 214 - 22*w**4 + 14 + 108*w + 96 = 0.
-3, 3
Let s(a) be the first derivative of -5*a**6/6 + 7*a**5 + 85*a**4/4 + 15*a**3 - 203. Factor s(u).
-5*u**2*(u - 9)*(u + 1)**2
Let t be (-15)/(-6) - (-2)/(-4). Factor -22*v - 26*v - 2*v**4 + 54*v + 2*v**3 + 10*v**t.
-2*v*(v - 3)*(v + 1)**2
Let b be ((-15)/((-2100)/56))/(-2 - -4). Suppose 0*f**2 + 0 - b*f + 1/5*f**3 = 0. Calculate f.
-1, 0, 1
Let l(j) be the second derivative of -j**5/25 + 11*j**4/5 - 192*j**3/5 + 512*j**2/5 + 64*j. Suppose l(d) = 0. Calculate d.
1, 16
Let s = -300 + 302. Let r be 24/(-10) - (-7 + 6)*4. Factor -4/5*v + 1/10*v**s + r.
(v - 4)**2/10
Let u(c) be the third derivative of -c**7/105 - c**6/10 + 4*c**5/15 + c**4/2 - 7*c**3/3 - 125*c**2. Factor u(f).
-2*(f - 1)**2*(f + 1)*(f + 7)
Let m = 2930 + -14644/5. Factor 2/5*j**5 + 0*j**4 - m*j**3 + 0 - 4/5*j**2 + 0*j.
2*j**2*(j - 2)*(j + 1)**2/5
Let t be 6/13 + 5/130. Factor -a**2 + 0 + a**4 + 0*a**3 + 1/2*a**5 - t*a.
a*(a - 1)*(a + 1)**3/2
Let u be 1966/20 - (-3)/((-9)/6). Let o = 195/2 - u. Factor o*p**2 + 0 - 6/5*p**3 - 2/5*p + 2/5*p**4.
2*p*(p - 1)**3/5
Suppose -45*z + 36 = -27*z. Factor z*g + 6/5*g**3 - 1/5*g**4 - 12/5*g**2 - 3/5.
-(g - 3)*(g - 1)**3/5
Suppose -k + 2*k - 9 = 0. Let v(g) = g**3 - 8*g**2 - 7*g - 16. Let o be v(k). Factor 9*r**2 + 12*r**o - 27*r**4 - 1 - 8*r + 2 - 3*r**2.
-(r + 1)*(3*r - 1)**3
Factor 6/11*r + 0*r**4 - 16/11*r**2 + 12/11*r**3 - 2/11*r**5 + 0.
-2*r*(r - 1)**3*(r + 3)/11
Suppose 25*u**2 - 31*u + 5*u**5 + 21*u + 8*u**4 - 15*u**3 - 13*u**4 = 0. Calculate u.
-2, 0, 1
Let c(r) be the first derivative of 0*r**2 + 0*r + r**3 - 12 - 3/16*r**4. Suppose c(v) = 0. What is v?
0, 4
Let s = -33 - -67. Suppose j - s = -j. Factor -9 - 5*o + j*o - 6*o - o**2.
-(o - 3)**2
Factor -9*w**2 + 21*w**3 + 2*w**2 - 22*w**3.
-w**2*(w + 7)
Let q(l) = 4*l**2 + l. Let w(h) = -2