3 + 1/18*z**4 + 0*z**2 + 7*z + 0 + j*z**5. What is t in g(t) = 0?
-2, 0, 1
Let u(v) be the first derivative of -v**5/25 + 7*v**4/20 - 6*v**3/5 + 2*v**2 - 8*v/5 + 5. Find b such that u(b) = 0.
1, 2
Let i be 1*(-1)/4*(8 - 8). Let l be 5 - i - 12/6. Solve 1/3*y**2 - 2*y + l = 0.
3
Let p(k) be the third derivative of -k**8/504 + 11*k**7/630 - 13*k**6/360 - 11*k**5/180 + 5*k**4/24 + 19*k**2 + 2. Let p(d) = 0. What is d?
-1, 0, 1, 5/2, 3
Let g(h) be the second derivative of -3*h**6/2 - 501*h**5/20 - 152*h**4/3 - 98*h**3/3 - 2*h + 75. Factor g(l).
-l*(3*l + 2)**2*(5*l + 49)
Let w(b) be the third derivative of -b**8/504 + b**7/63 + 11*b**6/60 + 31*b**5/90 - 8*b**4/9 - 4*b**3 + 234*b**2. Let w(o) = 0. Calculate o.
-2, -1, 1, 9
Let m be 7/((-35)/(-20))*101. Let 404 - 6*c**2 - m - 4*c - 2*c**3 = 0. What is c?
-2, -1, 0
Let f = 14 - 37/3. Let t = f + -1. Solve -2/3 + 2/3*y - t*y**3 + 2/3*y**2 = 0 for y.
-1, 1
Let k be 1/(-3)*(-17)/4. Let i = -37/60 + k. Solve 2*w**3 + i*w**4 - 2/5*w + 6/5*w**2 - 2/5 = 0.
-1, 1/2
Let b(p) = -14*p + 41. Let n be b(3). Let d be 2*(0 + n/(-5) + 0). Find u, given that -d*u**2 - 4/5 - 6/5*u = 0.
-2, -1
Let b(f) be the first derivative of -11 + 0*f - 2/3*f**2 + 2/9*f**3. Factor b(s).
2*s*(s - 2)/3
Let k(u) = -u**3 + u**2 - 1. Let h(s) = 5*s**2 - 14*s - 3. Let n(j) = h(j) - 5*k(j). Let y(b) = -16*b**3 + 43*b - 7. Let p(t) = 7*n(t) + 2*y(t). Factor p(v).
3*v*(v - 2)*(v + 2)
Let y be 4/70*5*7. Suppose 2*r - 23 = -u + 6*r, -u + y*r = -13. What is p in 244*p**2 + 10*p**3 - 56*p - 6*p**3 + 38*p**u + 16 + 176*p - 98*p**4 = 0?
-1, -2/7, 2
Suppose 4*m + 8 = -4. Let x(l) = 37*l**2 - 7*l - 5. Let z(j) = 18*j**2 - 3*j - 3. Let b(k) = m*x(k) + 5*z(k). Factor b(t).
-3*t*(7*t - 2)
Let s(y) be the third derivative of 0*y - 1/80*y**5 - 1/80*y**6 + 1/16*y**4 + 1/280*y**7 - 10*y**2 + 0 + 0*y**3. Factor s(d).
3*d*(d - 2)*(d - 1)*(d + 1)/4
Factor -8/5*l**4 + 2/5*l**5 - 4/5*l**2 + 0 + 0*l + 2*l**3.
2*l**2*(l - 2)*(l - 1)**2/5
Let q(m) = 3*m + 2. Let y be q(0). Factor -27*a**2 - 15*a**3 + 16*a**2 + 35 + 45*a**2 + 135*a + 51*a**y.
-5*(a - 7)*(a + 1)*(3*a + 1)
Let b = 98276/35095 - 2/7019. Factor b*u**2 - 4 + 6/5*u.
2*(u - 1)*(7*u + 10)/5
Factor -138/5*b - 2/5*b**3 - 72/5*b**2 - 68/5.
-2*(b + 1)**2*(b + 34)/5
Factor -7672*g**3 + 4*g - 3*g + 7668*g**3 - 104 + 3*g + 104*g**2.
-4*(g - 26)*(g - 1)*(g + 1)
Let q be (-10 + 2255/225)*9. Let g be (-1)/2*2*-5. Factor -q*r**4 - 3/5*r**3 + 2/5*r + 1/5*r**g + 1/5*r**2 + 0.
r*(r - 2)*(r - 1)*(r + 1)**2/5
Solve -10/3*o + 5/3*o**4 + 10/3*o**3 - 5/3*o**2 + 0 = 0 for o.
-2, -1, 0, 1
Determine a so that -13*a**2 + 24*a**2 - 2*a**2 + 3*a**2 + 12 - a**3 - 22*a - a**3 = 0.
1, 2, 3
Let t(k) be the second derivative of 2/5*k**5 - 2/21*k**7 - 2/3*k**3 + 0*k**4 + 0*k**6 + 0*k**2 + 0 + 18*k. Factor t(p).
-4*p*(p - 1)**2*(p + 1)**2
Let b(s) be the second derivative of 1/96*s**4 + 0 - 3/160*s**5 - 1/8*s**2 + 1/240*s**6 + 1/16*s**3 - 5*s. Let b(f) = 0. Calculate f.
-1, 1, 2
Let d(z) be the second derivative of -1/20*z**6 - 3/20*z**5 - 9*z + 0*z**3 + 0*z**2 + 0 + 0*z**4. Factor d(m).
-3*m**3*(m + 2)/2
Let f(n) be the second derivative of -3*n**4 - 4*n**3/3 - 11*n + 2. Factor f(d).
-4*d*(9*d + 2)
Factor 22*d**3 + 9*d + 15*d**2 - 34*d**3 + 0*d**2 + 19*d**3 + d**4.
d*(d + 1)*(d + 3)**2
Let j(p) = -p**3 + 8*p**2 + 10*p - 17. Let m be j(7). Suppose m*b**3 - 18*b**5 + 2*b + 99*b**5 - 4*b - 6*b + 4*b**2 + 171*b**4 = 0. Calculate b.
-1, -2/3, 0, 2/9
Let a(q) be the second derivative of -5/42*q**4 + 1/42*q**6 + 1/42*q**3 + 5/14*q**2 + 20*q - 1/70*q**5 + 1/294*q**7 + 0. Suppose a(i) = 0. Calculate i.
-5, -1, 1
Factor -3*q**5 - 675 - 52*q**4 - 2298*q**2 - 954*q**3 - 53*q**4 + 6*q**4 - 2115*q.
-3*(q + 1)**3*(q + 15)**2
Let r(m) be the third derivative of -4/21*m**3 + 0*m**4 + 18*m**2 + 1/210*m**5 + 0*m + 0. Factor r(p).
2*(p - 2)*(p + 2)/7
Let x(r) be the first derivative of 4*r**3/3 - 4*r + 56. Find j such that x(j) = 0.
-1, 1
Factor 23*a**2 - 106*a - 547 + 13*a**2 + 73 - 15*a**2 + 1759*a.
3*(a + 79)*(7*a - 2)
Let n(p) = p**3 + 6*p**2. Let l be n(-6). Let x = 5900 - 5896. Suppose l - g**3 + 0*g - 1/2*g**x - 1/2*g**2 = 0. Calculate g.
-1, 0
Let h = 4566 - 4564. Factor 0*c**4 - 5/4*c**5 - 5/2*c**h + 0*c + 15/4*c**3 + 0.
-5*c**2*(c - 1)**2*(c + 2)/4
Let r = -36225 + 181449/5. Suppose -r - 144*c - 4/5*c**4 - 472/5*c**2 - 16*c**3 = 0. Calculate c.
-9, -1
Suppose 23*n = -2*n - 134 + 209. Let w be 4/(-6) + 1 - -1. Solve -w*z**2 - 8/9*z - 2/9*z**4 - 8/9*z**n - 2/9 = 0 for z.
-1
Let a(y) be the third derivative of y**8/120960 - y**7/30240 - y**5/15 + y**2. Let b(j) be the third derivative of a(j). What is f in b(f) = 0?
0, 1
Let q be ((-2)/28)/((480/1280)/((-6)/8)). Suppose -q*l**3 + 2/7*l**2 + 0 + 0*l = 0. What is l?
0, 2
Let z(r) be the first derivative of -1/8*r**4 + 0*r - 1/4*r**2 - 9 + 1/3*r**3. Suppose z(m) = 0. Calculate m.
0, 1
Suppose 0 = 10*r - 18*r + 64. Factor -32*m + 54*m - r*m - 2*m**2.
-2*m*(m - 7)
Determine i, given that 14*i - 34 + 12 - 10*i + i**2 + 5*i = 0.
-11, 2
Suppose -2*h - 2*n = -8, -65*n + 14 = h - 66*n. Let u(x) be the first derivative of 0*x + 0*x**2 + 2/9*x**3 - h. Factor u(y).
2*y**2/3
Let j = 1/590 - -1163/10030. Let i(q) be the first derivative of -3 + j*q - 2/17*q**2 + 2/51*q**3. Factor i(y).
2*(y - 1)**2/17
Let p(q) be the third derivative of 0*q**4 + 0*q**3 - 1/100*q**5 + 2*q**2 + 0*q - 1/200*q**6 + 0. Suppose p(a) = 0. What is a?
-1, 0
Suppose -27/7 - 3/7*v**2 - 18/7*v = 0. What is v?
-3
Let b(q) be the first derivative of 2*q**7/21 - 2*q**6/5 + 3*q**5/5 - q**4/3 + 55*q - 9. Let t(i) be the first derivative of b(i). Let t(a) = 0. What is a?
0, 1
Let x(v) = 11*v**3 + 3*v**2 - 12*v + 4. Let z(r) = 177*r**3 + 48*r**2 - 192*r + 66. Let b(n) = -33*x(n) + 2*z(n). Determine a so that b(a) = 0.
-4/3, 0, 1
Suppose i - 2*h + 0*h - 16 = 0, 4*i - 3*h = 59. Factor -41*s**2 + 0 - i*s**4 - 4 + 46*s**3 + 26*s + 10*s**2 - 23*s**2.
-2*(s - 1)**3*(7*s - 2)
Let i = 1519 + -1513. Let j(p) be the first derivative of -1/33*p**i + 10 + 6/55*p**5 - 4/33*p**3 - 1/11*p**4 - 2/11*p + 3/11*p**2. Factor j(h).
-2*(h - 1)**4*(h + 1)/11
Let i be 10 + (1*12/8)/(1/(-4)). Find s such that -2/3*s**i - 14/3*s**2 + 10/3*s**3 + 0 + 2*s = 0.
0, 1, 3
Let x(v) be the third derivative of -v**7/2100 - v**6/360 - v**5/150 + v**4/3 - 16*v**2. Let p(a) be the second derivative of x(a). Find y, given that p(y) = 0.
-1, -2/3
Let i(m) be the second derivative of 0*m**2 - 7/220*m**5 + 7*m - 1/44*m**4 + 0*m**3 - 1/462*m**7 - 1/66*m**6 + 0. Factor i(u).
-u**2*(u + 1)**2*(u + 3)/11
Factor 0 + 4/7*x**3 + 2/7*x**5 + 6/7*x**4 + 0*x + 0*x**2.
2*x**3*(x + 1)*(x + 2)/7
Let g = -257 - -257. Suppose l + g*s - 1 = s, -3*l + 4 = -2*s. Find f, given that -18/5 - 3/5*f**l - 3*f = 0.
-3, -2
Factor -23*s**3 + 2*s**5 - 40*s**4 - 256*s**2 + 175*s + 14*s**4 + 17*s + 147*s**3.
2*s*(s - 4)**2*(s - 3)*(s - 2)
Suppose 3*f + 13*f + 48 = 0. Let m(t) = -t**5 + t. Let o(n) = 12*n**4 - 6*n**3 - 36*n**2 + 30*n. Let u(k) = f*m(k) + o(k). Factor u(l).
3*l*(l - 1)**2*(l + 3)**2
Suppose -b = -19*q + 17*q + 10, 0 = 2*b + 12. Find p, given that -1/4*p**3 + 1 - q*p + 5/4*p**2 = 0.
1, 2
Let o(i) be the second derivative of i**4/36 + 31*i**3/9 - 21*i**2/2 + 4*i + 12. Factor o(v).
(v - 1)*(v + 63)/3
Factor -3/8*c**3 - 9/4*c**2 - 15/8*c + 0.
-3*c*(c + 1)*(c + 5)/8
Let h(d) be the third derivative of d**5/330 + d**4/33 - 86*d**2. Factor h(f).
2*f*(f + 4)/11
Let z(f) be the second derivative of f**8/560 - f**7/70 + f**6/40 - 11*f**3/6 + 9*f. Let x(l) be the second derivative of z(l). Suppose x(o) = 0. What is o?
0, 1, 3
Let g(t) be the second derivative of -10*t**6/21 + 292*t**5/7 - 7202*t**4/7 + 16936*t**3/21 - 1682*t**2/7 + 27*t. Solve g(l) = 0.
1/5, 29
Suppose x = 7*i - 12*i - 5, 3*x + 4*i + 4 = 0. Let p(y) be the third derivative of 5/84*y**4 + 10*y**2 + 0*y + 25/42*y**3 + 1/420*y**5 + x. Factor p(b).
(b + 5)**2/7
Let g(a) = -a**2 - 5*a + 2. Let j be g(-5). Let f = 177 - 173. Solve f*w + 2/3*w**j + 6 = 0 for w.
-3
Let v(w) be the second derivative of -3/20*w**6 - 4*w**2 - 8/3*w**3 + 8*w + 1/3*w**4 + 3/5*w**5 + 0. Factor v(u).
-(u - 2)**2*(3*u + 2)**2/2
Let g(y) be the first derivative of -y**4/2 + 44*y**3/15 - 23*y**2/5 + 12*y/5 + 51. Solve g(o) = 0.
2/5, 1, 3
Let b(s) be the first derivative of 14*s*