 k = 3305 - 3305. Determine h, given that -c*h + k + 6*h**2 - 3/2*h**3 = 0.
0, 1, 3
Let g be 0/((8/(-22))/((-2)/(-11))). Let h(j) be the second derivative of 1/70*j**5 + g + 2/21*j**4 + 4/21*j**3 + 33*j + 0*j**2. Determine y so that h(y) = 0.
-2, 0
Suppose 0 = -4*n + 5*k - 171 + 217, 5*n + 5*k = -10. Find z, given that 22/3*z + 2*z**n + 4/3*z**5 - 6*z**2 - 26/3*z**3 + 4 = 0.
-3, -1, -1/2, 1, 2
Suppose 17*w + 5*w = 154. Factor 33*u - 32 + 3*u**2 - 16 + 8 - w + 11.
3*(u - 1)*(u + 12)
Let u(l) = 2*l**2 - l - 5. Let h(d) = 10*d**2 - 478*d - 27878. Let f(w) = h(w) - 6*u(w). Factor f(k).
-2*(k + 118)**2
Let y = -17493 - -17496. Let h(v) be the third derivative of 0 + 5/168*v**4 + v - 1/140*v**5 - 6*v**2 - 3/280*v**6 - 1/42*v**y. Suppose h(c) = 0. Calculate c.
-1, 1/3
Find x, given that 123*x - 275*x**4 + 360*x**2 + 236*x**2 + 47*x**4 + 44*x**5 - 92*x**3 - 21 + 213*x - 59 = 0.
-1, 2/11, 2, 5
Suppose -997 - 1758 = -4*z - 5*l, 6*l + 1352 = 2*z. Let i = z + -13007/19. Factor 6/19*x**2 - 8/19 + i*x - 2/19*x**4 - 4/19*x**3.
-2*(x - 1)**2*(x + 2)**2/19
Let r(h) = -5*h**2 + 127*h - 166. Let y be r(24). Find l, given that -16/3 - 4/3*l**3 - 1/3*l**5 + 5/3*l**4 + 32/3*l - 16/3*l**y = 0.
-2, 1, 2
Let z(r) be the second derivative of 8/9*r**2 + 0 - 1/9*r**4 - 4/27*r**3 + 85*r + 1/135*r**6 + 1/90*r**5. Factor z(j).
2*(j - 2)*(j - 1)*(j + 2)**2/9
Let o(t) be the second derivative of -t**4/66 - 23*t**3/33 - 126*t**2/11 + 2207*t. Let o(q) = 0. What is q?
-14, -9
Let a = 3092813/91866 + 3/30622. Factor 4/3*k**2 - a*k + 25/3.
(k - 25)*(4*k - 1)/3
Factor 2/3*m - 2/9*m**4 + 0 + 2/9*m**2 - 2/3*m**3.
-2*m*(m - 1)*(m + 1)*(m + 3)/9
Let a(u) = u**4 - u**3 + u**2 - u. Let m be -3*(-3 - (-4)/2). Let y(x) = 33*x**m - x**4 - 32*x**3 + 0*x**4. Let p(j) = 5*a(j) + 10*y(j). Factor p(v).
-5*v*(v - 1)**2*(v + 1)
Let h(x) be the third derivative of x**6/24 + 3*x**5/2 + 20*x**4 + 400*x**3/3 + 368*x**2. Let h(o) = 0. What is o?
-10, -4
Suppose -63*y + 7858 - 7669 = 0. Factor -2/9*o**4 + 0*o + 0 + 2/9*o**y + 4/3*o**2.
-2*o**2*(o - 3)*(o + 2)/9
Let n be ((-195)/65)/((-6)/(-446)). Let v = n + 1567/7. Solve -22/7*l**4 + v*l**3 + 6/7*l**5 + 22/7*l**2 + 0 - 12/7*l = 0.
-1, 0, 2/3, 1, 3
Suppose 5*w + 2*m = 17, 0 = w - 0*w - 3*m - 17. Let a = 237669 + -237659. Find i, given that 44*i**4 - 332/5*i**3 + 208/5*i**2 - a*i + 4/5 - 10*i**w = 0.
1/5, 1, 2
Let o(j) be the second derivative of -3*j**2 - 10/3*j**3 + 1 + 21*j - 7/6*j**4. Suppose o(x) = 0. Calculate x.
-1, -3/7
Let q = 1/2042 - -32661/22462. Let a be 1365 + -1372 - (-255)/33. Suppose 36/11*y**2 - 6/11*y**5 - a*y**4 - 40/11*y + 34/11*y**3 - q = 0. Calculate y.
-2, -1/3, 1, 2
Let b(v) be the first derivative of 5*v**6/24 + 117*v**5/4 + 2025*v**4/2 - 4500*v**3 + 1685. Let b(l) = 0. Calculate l.
-60, 0, 3
Let d(w) = -123*w**2 + 503*w - 42. Let z be d(4). Determine f, given that 15/2*f**z + 3/2*f**4 + 15/2*f**3 - 15/2*f - 9 = 0.
-3, -2, -1, 1
Let l(o) be the second derivative of o**6/6 - 3*o**5/2 - 55*o**4/4 + 115*o**3/3 + 180*o**2 + 3*o + 491. What is u in l(u) = 0?
-4, -1, 2, 9
Let p(l) be the first derivative of -l**6/180 - 7*l**5/120 - 5*l**4/24 - 4*l**3 + 124. Let x(v) be the third derivative of p(v). Suppose x(k) = 0. Calculate k.
-5/2, -1
Let d(r) be the second derivative of -r**4/6 - 547*r**3/3 + 548*r**2 - 2*r - 613. Factor d(c).
-2*(c - 1)*(c + 548)
Let p be 160/48 - 4/(-6). Let a = -1998 - -2001. Find g such that -6/7*g + 0*g**a - 9/7*g**2 + 3/7*g**p + 0 = 0.
-1, 0, 2
Let q(s) = -24*s - 323. Let t be q(-16). Suppose 3 = -4*u + 11. Let -t + 65 + k**2 + 3*k**u - 5*k - 3*k = 0. Calculate k.
1
Let d(y) be the first derivative of y**5/15 + 19*y**4/12 - 41*y**3/9 + 7*y**2/2 - 1804. Let d(x) = 0. What is x?
-21, 0, 1
Let j(o) be the second derivative of -3/100*o**5 - 2/25*o**6 + 0*o**3 + 1/30*o**4 + 0*o**2 + 30*o - 1/30*o**7 + 0. Factor j(l).
-l**2*(l + 1)**2*(7*l - 2)/5
Let m(j) be the first derivative of -j**5/10 + 9*j**4/4 + 109*j**3/6 + 69*j**2/2 - 276. Solve m(s) = 0 for s.
-3, -2, 0, 23
Let s be 20/315*21/140. Let k(m) be the second derivative of 1/70*m**5 + 13*m + 0*m**3 + 0*m**2 - s*m**6 - 1/147*m**7 + 0 + 1/42*m**4. Factor k(v).
-2*v**2*(v - 1)*(v + 1)**2/7
Let p(t) = -t**2 + 152*t - 4620. Let d be p(42). What is y in 8/13*y**2 + 0*y - 2/13*y**3 + d = 0?
0, 4
Find a, given that -483/5*a**3 + 288/5 - 48/5*a - 6*a**4 - 1482/5*a**2 = 0.
-12, -4, -1/2, 2/5
Let g(p) = p**2 - 36. Let v be -19 - (8*-2)/4. Let k be g(v). Factor -251*q**4 + 21*q + 440*q**3 - k*q**2 + 11*q - 19*q**2 - 49*q**4.
-4*q*(3*q - 2)*(5*q - 2)**2
Suppose -5*w - 3*s + 45 = s, -3*w + 4*s = 5. Factor -2182 - 4*a**2 + 2206 - w*a + a.
-4*(a - 2)*(a + 3)
Let a(v) be the first derivative of v**3/3 + 6*v**2 - 10*v - 5. Let y be a(-13). Factor -y*k**2 - 2 - 2*k**4 + 5*k**2 + 2*k**2.
-2*(k - 1)**2*(k + 1)**2
Let t = -13780 + 96463/7. Let k(q) be the second derivative of t*q**2 + 21*q + 169/126*q**4 + 0 + 26/21*q**3. Solve k(c) = 0 for c.
-3/13
Let m(n) = -15*n**2 - 2736*n - 375382. Let d(w) = 5*w**2 - 2*w + 1. Let v(i) = -2*d(i) - m(i). Find t such that v(t) = 0.
-274
Solve 3456/5 - 64/5*t**5 + 320*t**4 + 6456/5*t**2 - 10636/5*t**3 + 16128/5*t = 0.
-3/4, -1/4, 2, 12
Let z(b) = b**2 + b - 13. Let x be z(6). Suppose 0 = 10*i + x - 189. Factor -w**2 + 1 - 5 + i + 16*w + 5*w**2.
4*(w + 1)*(w + 3)
Let d = 364313/6 - 364309/6. Factor -16/3*y**3 + 6*y**2 + 0 - d*y**4 + 0*y.
-2*y**2*(y - 1)*(y + 9)/3
Let q be 11 - (330/(-20))/11. Let k(x) be the first derivative of q*x**2 + 5*x**3 - 10*x - 26. What is j in k(j) = 0?
-2, 1/3
Solve -7*z**2 - 2*z**4 + 29*z**2 - 6*z + 0*z**3 - 2*z**3 - 12*z**2 = 0 for z.
-3, 0, 1
Let b be (-132)/10 + 918/765 + 16. Let g(q) be the second derivative of -1/18*q**b + 0 + 2/9*q**3 + 4*q - 1/3*q**2. Factor g(d).
-2*(d - 1)**2/3
Factor -27*v - v**3 + 231*v**2 - 100 - 11*v - 27*v - 245*v**2.
-(v + 4)*(v + 5)**2
Let d(j) be the second derivative of j**4/48 - 47*j**3/8 - 71*j**2/4 - 14*j + 56. Suppose d(q) = 0. Calculate q.
-1, 142
Solve -6/17 - 158/17*a**2 - 28*a = 0.
-3, -1/79
Let t = 481 + -481. Find s such that s**3 - 88*s + 64 + 7*s**2 + 3*s**3 + 8*s**2 + 5*s**2 + t*s**2 = 0.
-8, 1, 2
Let q(r) be the third derivative of -r**6/80 - 3*r**5/8 - 19*r**4/8 - 6*r**3 + 5*r**2 + 4*r. Factor q(h).
-3*(h + 1)*(h + 2)*(h + 12)/2
Let x be (-9*119/(-42))/(-11 - (-231)/12). Solve -6/11*m**2 - 100/11*m + x = 0 for m.
-17, 1/3
Suppose -20*a + 18*a = n + 6, -2*n = -3*a - 23. Let m(o) be the first derivative of -2/3*o**3 + 0*o - o**n - 2/5*o**5 + 5 + 0*o**2. Let m(i) = 0. What is i?
-1, 0
Let m(u) be the second derivative of 29 + 5/6*u**5 - 56/45*u**6 + u + 0*u**3 - 1/6*u**4 + 16/63*u**7 + 0*u**2. Solve m(f) = 0 for f.
0, 1/4, 3
Suppose 5*g - 19 = -20*j + 1, -2*j - 2*g = 4. Solve 0 + 0*m - 15/2*m**4 + 0*m**j - 5/4*m**5 - 45/4*m**3 = 0.
-3, 0
Let r(h) = 1460*h - 1444. Let x be r(1). Let 42/5*s**2 - 66/5*s**4 + 24/5 - x*s + 16*s**3 = 0. What is s?
-1, 6/11, 2/3, 1
Let m(v) be the third derivative of 4*v**7/1575 + 7*v**6/300 - 43*v**5/450 - 13*v**4/15 - 4*v**3/5 + v**2 - 14*v - 20. Determine x, given that m(x) = 0.
-6, -2, -1/4, 3
Let x(q) = 3*q**2 + q - 1. Let c be x(1). Suppose p**3 + 0*p**3 - 5*p**5 + 3*p**2 - 3*p**4 - 4*p**c + 8*p**5 = 0. What is p?
-1, 0, 1
Let r(j) be the third derivative of -j**6/60 - 1411*j**5/30 - 124256*j**4/3 + 498436*j**3/3 + 6*j**2 - 5*j + 3. Suppose r(c) = 0. What is c?
-706, 1
Let y = -56 - -69. Suppose -9*r - y*r + 21 - 3661*r**2 + 3662*r**2 = 0. Calculate r.
1, 21
Let g(a) be the second derivative of -a**5/20 + 2965*a**4/4 - 8791225*a**3/2 + 26065982125*a**2/2 - 233*a - 6. Factor g(m).
-(m - 2965)**3
Suppose 5*f - 30 = 2*g, 10 = 4*f - g - 11. Determine a, given that f*a**3 + 0*a + 4*a**2 + 13*a**3 - 15*a**3 + 2*a = 0.
-1, 0
Let p(j) be the second derivative of -j**5/12 - 15*j**4/4 - 135*j**3/2 + 19*j**2/2 - 42*j. Let k(n) be the first derivative of p(n). Factor k(y).
-5*(y + 9)**2
Factor -784 + 2325*r - 119*r**3 - 1821*r - 60*r**2 + 121*r**3.
2*(r - 14)**2*(r - 2)
Let f(q) be the third derivative of -5*q**6/24 + 47*q**5/4 + 24*q**4 + 58*q**3/3 - 252*q**2 + q + 1. Find y such that f(y) = 0.
-2/5, 29
Suppose 6*v = 3*o + 78, 62 = -4*o + 56*v - 51*v. Factor 7/4*k**o - 3/4 + k.
(k + 1)*(7*k - 3)/4
Let i(q) be the second derivative of -q**4/6 + 2