ond derivative of 0*n**3 + 0*n**2 + 0 + 1/40*n**5 + n - 1/8*n**z. Solve c(v) = 0 for v.
0, 3
Let c be 26/6 + 8/12. Let 3 + 6*i**3 + 1 + 8*i - c*i**3 - 4*i**4 - 9*i**3 = 0. What is i?
-1, 1
Let p(d) be the first derivative of -d**8/420 + 2*d**6/45 - 2*d**3/3 - 17. Let f(c) be the third derivative of p(c). Find b, given that f(b) = 0.
-2, 0, 2
Let g = 32 + -28. Suppose -12*h**2 - 64*h**4 - 8*h + 68*h**g + 0*h = 0. Calculate h.
-1, 0, 2
Suppose -198*w + 145 + 251 = 0. Factor 0*r + 5/2*r**3 + 15/2*r**w + 0.
5*r**2*(r + 3)/2
Let q = 109/111 - 24/37. Let n(o) be the first derivative of 9 + 0*o + 0*o**2 + 1/4*o**4 + q*o**3. Factor n(v).
v**2*(v + 1)
Let u = 26/165 + -8/2145. Factor u*m**2 + 4/13*m + 2/13.
2*(m + 1)**2/13
Suppose 0 = -4*u + 3*u + 5*i + 7, -5 = -u + 4*i. Let g = u + 7. Suppose -2*q**3 - 4*q**4 - 2*q**4 - q**g = 0. What is q?
-2/7, 0
Let b(w) = w**3 - w**2 - w + 1. Let y(h) = -5*h**3 + h**2 + 5*h - 1. Suppose 4*l = 7 + 1. Let v be 60/(-48) - l/(-8). Let x(p) = v*y(p) - 3*b(p). Factor x(u).
2*(u - 1)*(u + 1)**2
Let b(t) be the first derivative of 3*t**4/4 + 17*t**3/7 - 45*t**2/14 - 27*t/7 - 11. Solve b(q) = 0.
-3, -3/7, 1
Let o be (7 + (-9)/12 + -7)*7/(-21). Factor -o*p**2 + 0 + 1/2*p - 1/4*p**3.
-p*(p - 1)*(p + 2)/4
Factor -1/8*t**2 + 31/4 - 61/8*t.
-(t - 1)*(t + 62)/8
Determine r so that 14/5*r + 12/5*r**2 - 1/5*r**4 + 1 + 2/5*r**3 = 0.
-1, 5
Let a be (147/(-30) + 5)/((-1)/(-436)). Factor a*n**2 + 8/5 - 252/5*n**3 + 98/5*n**4 - 72/5*n.
2*(n - 1)**2*(7*n - 2)**2/5
Let l = -4585 + 41314/9. Let s = l - 61/36. Determine d so that 9/4*d**4 - 15/4*d**3 + s*d - 3/4*d**2 - 3/2 = 0.
-1, 2/3, 1
Let k(m) be the second derivative of 5*m**5/4 + 155*m**4/12 + 5*m**3 - 41*m. Factor k(f).
5*f*(f + 6)*(5*f + 1)
Let w(t) = 4*t**2 + 5*t + 106. Let z(b) = -9*b**2 - 12*b - 264. Let y(d) = 12*w(d) + 5*z(d). Determine h, given that y(h) = 0.
-4, 4
Solve 0 - 72/7*b**2 + 33/7*b**3 + 12/7*b = 0 for b.
0, 2/11, 2
Let b(n) = 335*n**2 + 1000*n + 1035. Let l(y) = 9*y**2 + 27*y + 28. Let u(d) = -2*b(d) + 75*l(d). Factor u(s).
5*(s + 2)*(s + 3)
Let p(f) = -3*f**3 - 1 + f**2 + 5*f**3 + 2 - 3*f**3. Let d(a) = -8*a**3 + 8*a**2 + a + 6. Let z(v) = 4*d(v) - 28*p(v). Let z(r) = 0. What is r?
-1, 1
Factor 46*x**3 - 49 + 8*x**2 - 108*x - 7 - 4*x**5 - 5*x**3 + 49*x**4 + 71*x**3 - x**4.
-4*(x - 14)*(x - 1)*(x + 1)**3
Let l(a) be the first derivative of a**8/1120 + a**7/280 - a**6/80 + 2*a**3 - 13. Let g(o) be the third derivative of l(o). Factor g(y).
3*y**2*(y - 1)*(y + 3)/2
Suppose 3*w = 0, 17*d = 12*d + 5*w - 80. Let t be (-2)/(8/d*(-1 + 17)). Factor -t*u**2 + 0*u - 1/8*u**3 + 0.
-u**2*(u + 2)/8
Factor -72*j**2 + 9*j**3 + 12*j**3 - 36 + 384*j + 246*j**2 + 5 + 127.
3*(j + 4)**2*(7*j + 2)
Let w be 2/((-40)/2)*515/(-103). Let q(p) be the first derivative of p**3 - 8 + 3/4*p**4 + 1/5*p**5 + 0*p + w*p**2. Factor q(d).
d*(d + 1)**3
Let y = 8 - 5. Find k, given that 19 - 15*k**2 - 9 + 3*k - 7 + 7*k**y + 2*k**3 = 0.
-1/3, 1
Suppose -38 = -3*j - 5*h, -3*h + 25 = 44*j - 42*j. Let d(l) be the first derivative of 0*l**2 + 5/3*l**3 - l**5 + 0*l + 0*l**4 - j. Factor d(y).
-5*y**2*(y - 1)*(y + 1)
Let a = 10 - 6. Factor 6*c**2 - 3*c**3 + c**3 + a*c**3 - 8.
2*(c - 1)*(c + 2)**2
Suppose 0*x - 8 = -2*x. Suppose 0 = -3*z + x*z - 2*v + 5, 5*v - 23 = -z. Factor -21*a**2 - 21*a**3 - z*a - 12*a**3 + 9*a + 6*a**3.
-3*a*(a + 1)*(9*a - 2)
Let d be 4 - 3 - -1 - 25/(-6). Let p = d + -17/3. Factor -2*n**3 - n - 5/2*n**2 + 0 - p*n**4.
-n*(n + 1)**2*(n + 2)/2
Let v = 48290 - 193159/4. Factor -1/4*f**4 + 0*f - 1/4*f**5 + 0 + v*f**3 + 1/4*f**2.
-f**2*(f - 1)*(f + 1)**2/4
Suppose 0 = -37*k + 7 + 39 + 28. What is g in 1/2*g**k - 1/2*g**3 + 1/2*g - 1/2*g**4 + 0 = 0?
-1, 0, 1
Let i be (-3)/(-57) - (-2368)/1216. What is a in 1 - 4*a**i - 5/2*a**5 - 11*a**3 + 3/2*a - 9*a**4 = 0?
-1, 2/5
Let c be (4 - 81/36) + 3/(-3)*1. Factor 3*z + c*z**2 + 9/4.
3*(z + 1)*(z + 3)/4
Suppose -74/7 - 2/7*b**2 + 76/7*b = 0. What is b?
1, 37
Let g(m) be the first derivative of -3*m**3 + 3*m**2 + 3*m - 108. Factor g(x).
-3*(x - 1)*(3*x + 1)
Let r(s) be the second derivative of s**9/7560 - s**8/840 + s**7/420 + s**6/90 - s**5/15 + s**4/6 + 32*s. Let j(v) be the third derivative of r(v). Factor j(p).
2*(p - 2)**2*(p - 1)*(p + 1)
Let d(f) be the first derivative of 4*f**3/21 - 43*f**2/14 + 30*f/7 - 110. Factor d(p).
(p - 10)*(4*p - 3)/7
Let d = -52 + 55. Factor 0*z**3 - 6*z**d - 6*z**2 + 18*z - 2*z**4 - 20*z.
-2*z*(z + 1)**3
Let g(a) be the second derivative of -2/11*a**2 + 1/66*a**4 - 1/33*a**3 - 8*a + 0. Let g(r) = 0. What is r?
-1, 2
Let h(z) be the third derivative of -z**6/120 - 11*z**5/12 - 261*z**4/8 - 243*z**3/2 + 116*z**2 - 3*z. Factor h(g).
-(g + 1)*(g + 27)**2
Let b(q) be the second derivative of q**9/98280 - q**8/43680 - q**4/6 - 18*q. Let s(y) be the third derivative of b(y). Let s(w) = 0. Calculate w.
0, 1
Let u(i) = 25*i + 979. Let b be u(-39). Factor -5/3*y + 5/3 - 5*y**2 - 10/3*y**b + 25/3*y**3.
-5*(y - 1)**3*(2*y + 1)/3
Suppose -8*i - 1980 = -17*i. Factor -1123*u - 120*u**2 - 57*u - 5*u**3 - 2560 + i*u.
-5*(u + 8)**3
Let b(p) = p**2 - 35. Let n be b(-6). Let r(i) be the first derivative of -3*i**2 + 3/8*i**4 + 9/4*i + 3/4*i**3 + n. Factor r(k).
3*(k - 1)*(k + 3)*(2*k - 1)/4
Let s(n) = 17*n**2 + 464*n - 54. Let r(z) = -8*z**2 - 232*z + 24. Let m(v) = -9*r(v) - 4*s(v). What is o in m(o) = 0?
-58, 0
Let a(v) be the second derivative of v**4/120 + v**3/60 + 79*v + 1. Factor a(l).
l*(l + 1)/10
Find f, given that 3/4*f**5 - 9/4*f - 9/4*f**4 + 3/2*f**3 + 3/2*f**2 + 3/4 = 0.
-1, 1
Factor -40/3*l**2 - 2/3*l**4 + 16/3*l**3 + 0 + 32/3*l.
-2*l*(l - 4)*(l - 2)**2/3
Let p(m) be the first derivative of -7*m**3/5 - 17*m**2/10 + 4*m/5 + 224. Factor p(h).
-(h + 1)*(21*h - 4)/5
Let j = -5237194/23199 - 142/2109. Let p = j - -226. Factor -p*u**3 + 0*u**2 - 4/11 + 6/11*u.
-2*(u - 1)**2*(u + 2)/11
Let a(l) be the third derivative of -l**5/30 - l**4/6 + l**3 - 115*l**2 + 1. What is k in a(k) = 0?
-3, 1
Let p(v) be the second derivative of v**4/84 + 2*v**3/7 + 18*v**2/7 - v - 17. Determine n so that p(n) = 0.
-6
Let f(s) be the first derivative of -s**2/2 + 11*s - 1. Let i be f(11). Suppose -a**2 + 6*a + 2*a**3 + i*a**2 + 7*a**2 + 2 = 0. What is a?
-1
Let s(h) be the third derivative of -1/12*h**3 + 0 - 1/12*h**4 + 1/105*h**7 - 1/40*h**5 + 0*h - 12*h**2 + 1/60*h**6. Determine q so that s(q) = 0.
-1, -1/2, 1
Let f be (-2)/(-20)*(-136 + 140). Factor -4/5*u**3 + 2/5*u**5 + 0*u + 0 - f*u**4 + 0*u**2.
2*u**3*(u - 2)*(u + 1)/5
Suppose 3*z + 3*l = 12, 3*z - 8 = -0*l + l. Let p be (12/(-126)*-6)/(z/14). Determine q, given that -p + 98/3*q**3 + 64/3*q - 154/3*q**2 = 0.
2/7, 1
Factor 37/5*l**2 + 4 + 9/5*l**3 + 48/5*l.
(l + 1)*(l + 2)*(9*l + 10)/5
Let i(r) = 2*r + 4. Let k be i(0). Suppose -4*s + 12 = 2*q, 4*q + q - 3*s - k = 0. Solve 2/13*l**q - 4/13 - 2/13*l = 0 for l.
-1, 2
Let b(z) be the first derivative of z**6/3 + 2*z**5/5 - 3*z**4/8 - z**3/3 + z**2/4 - 160. Let b(o) = 0. What is o?
-1, 0, 1/2
Let 32/7*f - 2/7*f**2 - 8/7*f**3 + 2/7*f**4 - 24/7 = 0. Calculate f.
-2, 1, 2, 3
Suppose -5*t - 42 = -4*y, -21*y = -16*y - 4*t - 39. Factor -1/4*p**4 - 2*p**2 + 3/2*p - 3/2*p**y + 9/4.
-(p - 1)*(p + 1)*(p + 3)**2/4
Let r = 341 + -341. Let x(h) be the first derivative of 3/5*h**5 + h**2 - 1/4*h**4 - h**3 + r*h + 6 - 1/6*h**6. Determine v so that x(v) = 0.
-1, 0, 1, 2
Let d(a) be the first derivative of a**3 - 39*a**2/2 + 36*a - 16. Solve d(j) = 0.
1, 12
Let s(f) = -f + 2. Let d be s(5). Let h be (d/1 + -17)*-2. Determine p so that 0 - 12*p**2 + 6 - 61*p + h*p = 0.
-2, 1/4
Suppose -3*v = -0*v. Let y be ((-2)/12)/((-69)/828). What is t in v*t + y*t**5 + 0 + 2/3*t**2 + 14/3*t**4 + 10/3*t**3 = 0?
-1, -1/3, 0
Let n(i) be the first derivative of -2/5*i**2 + 54 - 2/15*i**3 + 0*i. Factor n(f).
-2*f*(f + 2)/5
Factor -344*m + 44376 + 2/3*m**2.
2*(m - 258)**2/3
Find q such that 2*q + 0 - 1/3*q**2 - 1/3*q**3 = 0.
-3, 0, 2
Let v(g) be the third derivative of 2*g**7/315 + 19*g**6/180 + 2*g**5/5 + 5*g**4/36 - 14*g**3/9 - 164*g**2. Solve v(l) = 0 for l.
-7, -2, -1, 1/2
Suppose -234*k = -201*k. Factor -1/2*c**2 + k + 1/4*c.
-c*(2*c - 1)/4
Let a(p) be the second derivative of p**6/300 + p**5/40 + p**4/15 + p**3/15 - 3*p. Let a(s) = 0. What is s?
-2, -1, 0
Let a = 685 - 685