q + 11)*(q + 16)
Let f = 3064 + -3061. Let r(c) be the first derivative of -4/15*c**f + 4/5*c + 1/5*c**2 - 1/10*c**4 - 12. Factor r(n).
-2*(n - 1)*(n + 1)*(n + 2)/5
Let j(x) be the second derivative of -x**5/110 - 47*x**4/22 + 142*x**3/33 - 2752*x. Factor j(s).
-2*s*(s - 1)*(s + 142)/11
Let v = -50563 - -252817/5. Find t, given that 8/5 + 8/5*t - 2/5*t**3 - v*t**2 = 0.
-2, -1, 2
Let p(q) = -4*q - 6. Let k be p(0). Let c be (-26)/k - (-12)/(-9). Factor 16*s**2 - 14*s**3 + 8*s**c - 12*s + 2*s**3.
-4*s*(s - 3)*(s - 1)
Suppose 24/5*i - 162/5*i**3 + 3/5*i**5 + 3/5*i**4 + 576/5 - 444/5*i**2 = 0. What is i?
-6, -2, 1, 8
Let y be (6 - ((-32)/10)/((-606)/1010))/((-26)/(-6)). Factor -40/13 - 2/13*o + y*o**2.
2*(o - 5)*(o + 4)/13
Suppose -6*c + 33 = 21. What is a in -5*a**2 - 6*a**c + 10*a**3 + 12*a**2 + a**2 = 0?
-1/5, 0
Suppose 2*a - a = 3. Suppose -4*n - 5*u + 37 = 0, 4*n + 43 = 4*u + 35. Suppose 23*q**n - 5*q**2 + 2*q - 89*q**3 + 31*q**3 + 28*q**a = 0. What is q?
-1, 0, 2/7
Let s(d) be the third derivative of -d**7/42 - 439*d**6/6 + 879*d**5/2 - 6595*d**4/6 + 8795*d**3/6 + 228*d**2 - d - 9. Determine c so that s(c) = 0.
-1759, 1
Let b be (-2)/30*((-40)/(-3) + -8)*(-6783)/952. Find y, given that 0*y + 0*y**2 + 0 + 2/15*y**4 + b*y**3 = 0.
-19, 0
Suppose 0 = -3*s + 4*x + 67, -108 = -3*s + x - 35. Suppose s*z**3 - 6*z**3 - 20*z**3 + 32*z**2 - 13*z**3 + 104*z - 32 = 0. What is z?
-2, 2/7, 4
Suppose -26/3*d**2 + 0*d + 0 + 4*d**3 = 0. Calculate d.
0, 13/6
Let s(o) be the third derivative of 1/2*o**3 + 11*o**2 + 37/80*o**5 + 0*o + 3/4*o**4 + 21/160*o**6 + 1/70*o**7 - 7. Determine v, given that s(v) = 0.
-2, -1, -1/4
Let m(f) be the second derivative of 7*f**4/20 + 204*f**3/5 + 174*f**2/5 - f + 192. Determine d, given that m(d) = 0.
-58, -2/7
Let n be 34181/190 + 1/10. Factor 5*b**5 - 285*b**3 + n*b**2 - 20*b**4 + 24*b - 159*b + 255*b**3.
5*b*(b - 3)**2*(b - 1)*(b + 3)
Let k(a) be the first derivative of 1/3*a**3 + 10 - 4*a**2 - 9*a. Let k(m) = 0. What is m?
-1, 9
Let b = 425/981 - 23/109. Let v = 29 - 27. Determine r, given that -b*r**3 - 14/9*r - 10/9*r**v - 2/3 = 0.
-3, -1
Let g(m) be the first derivative of m**4/14 + 2*m**3/21 - 7*m**2 - 14*m + 374. Factor g(r).
2*(r - 7)*(r + 1)*(r + 7)/7
Let x = 5/64 + 3121/192. Let m(a) be the first derivative of -9*a + 3 - x*a**3 + 21*a**2. Let m(c) = 0. What is c?
3/7
Let o(c) = -2*c**3 + 2*c**2 + c + 1. Let k(f) = -5*f**3 - 45*f**2 + 2*f + 54. Let x(n) = -2*k(n) + 6*o(n). Find r such that x(r) = 0.
-1, 1, 51
Let s(q) be the first derivative of -2*q**3/21 - 372*q**2/7 - 69192*q/7 + 1695. Factor s(l).
-2*(l + 186)**2/7
Let v(k) be the first derivative of -3*k**4/8 + 3*k**3 - 15*k**2/4 - 18*k - 2954. Solve v(b) = 0 for b.
-1, 3, 4
Let o = 40788 + -40783. What is v in 2/13*v**o + 8/13*v**4 + 6/13*v**3 - 8/13*v + 0 - 8/13*v**2 = 0?
-2, -1, 0, 1
Let h(g) be the first derivative of -1/42*g**6 - 1/28*g**4 + 2/35*g**5 + 0*g**2 + 123 + 0*g + 0*g**3. Factor h(r).
-r**3*(r - 1)**2/7
What is x in 5/4*x**2 + 101/2*x + 20 = 0?
-40, -2/5
Let t(q) be the first derivative of -q**5/8 - 5*q**4/8 + 20*q**3/3 - 15*q**2 + 66*q + 56. Let i(d) be the first derivative of t(d). What is c in i(c) = 0?
-6, 1, 2
Let z(v) be the second derivative of -v**4/54 + 40*v**3/27 + 41*v**2/9 + 4359*v - 1. Suppose z(b) = 0. Calculate b.
-1, 41
Let j(p) be the first derivative of p**5/5 - 535*p**4/4 - 179*p**3 + 535*p**2/2 + 536*p - 2667. Solve j(s) = 0 for s.
-1, 1, 536
Let h = -49023 - -196097/4. What is c in -h + 7/4*c**3 + 17/4*c - 19/4*c**2 = 0?
5/7, 1
Let t be (10*(56/64)/7)/((-3)/(-12)). Let q(i) be the first derivative of -5/6*i**6 + 10*i**2 + 4*i**t - 5/4*i**4 + 40*i + 32 - 50/3*i**3. Factor q(j).
-5*(j - 2)**3*(j + 1)**2
Let y(j) be the second derivative of j**5/70 - 31*j**4/14 - 32*j**3/7 + 188*j**2/7 + 3150*j - 1. Find q, given that y(q) = 0.
-2, 1, 94
Let o(k) be the third derivative of -4/75*k**5 + 0 + 1/840*k**8 + 1/25*k**6 - 2/175*k**7 + 0*k + 0*k**4 + 0*k**3 + 154*k**2. Factor o(s).
2*s**2*(s - 2)**3/5
Let c be (-14)/(-8)*722/133. Let w(j) be the second derivative of 0 + c*j**4 - 28*j - 9/20*j**5 + 108*j**2 - 66*j**3. Factor w(q).
-3*(q - 6)**2*(3*q - 2)
Suppose -40000/7*k - 2/7*k**5 + 0 - 58*k**4 - 21204/7*k**3 - 60800/7*k**2 = 0. What is k?
-100, -2, -1, 0
Suppose -246*w + 247*w + 33 = 3*k, 0 = k - 11. Factor 0*f - 3/4*f**4 + w + 0*f**2 + 3/4*f**3.
-3*f**3*(f - 1)/4
Factor 1/3*m**2 - 225 + 674/3*m.
(m - 1)*(m + 675)/3
Let t be (-3 + 756/180)*5/4. Determine z so that -t - 54*z**2 - 18*z = 0.
-1/6
Let u(f) be the first derivative of -f**6/18 + 4*f**5/5 - 13*f**4/12 - 122*f**3/3 + 880*f**2/3 - 800*f - 2523. Suppose u(m) = 0. Calculate m.
-6, 4, 5
Suppose 0 = -3*w - 3*u - 18, -7*w - 54 = -30*w + u. Factor 26/7*d**w + 18 - 102/7*d - 2/7*d**3.
-2*(d - 7)*(d - 3)**2/7
Let j = 527 - 519. Suppose 46 = -j*q + 62. Find g such that 0 + 0*g - 1/7*g**3 + 1/7*g**5 + 1/7*g**q - 1/7*g**4 = 0.
-1, 0, 1
Suppose -23*x + 18*x = 30. Let p be (-1 + x)*8/(-28). Find m, given that 6*m + 6*m - 2 - 13*m + m**p = 0.
-1, 2
Let p = 8414/5265 + 2/1053. Let h(f) = 5*f**2 - 19*f + 14. Let b be h(3). Factor 8/5*w + p + 2/5*w**b.
2*(w + 2)**2/5
Let x be 50/(-15)*12/10 + 9. Let z(c) = -248*c**2 + 308*c + 152. Let v(f) = 45*f**2 - 56*f - 28. Let t(w) = x*z(w) + 28*v(w). Factor t(o).
4*(o - 2)*(5*o + 3)
Suppose -9*k + 980 = -37*k. Let q be (-39)/(-26)*((-80)/k)/4. Find l such that 6/7*l + 2/7*l**3 + q*l**2 + 2/7 = 0.
-1
Let d = -867689/4 + 218545. Let m = 1623 - d. Factor -1/2*j**4 + 0 + 0*j - 1/4*j**3 + m*j**5 + 1/2*j**2.
j**2*(j - 2)*(j - 1)*(j + 1)/4
Factor -y**2 + 378374*y - 2*y**2 - 189888*y - 191687*y.
-3*y*(y + 1067)
Suppose 4*g - 201 = -0*g + i, 5*i + 123 = 2*g. Let f = g + -41. Factor -j**3 - 20*j + 11*j**3 - f*j**3 + 3*j**3.
5*j*(j - 2)*(j + 2)
Solve 133563 + 7699*n - 14617*n + 3*n**2 + 8184*n = 0.
-211
Let a(r) = 6*r**4 - 14*r**3 - 32*r**2 - 19*r - 7. Let h = 13 - 19. Let k(v) = -5*v**4 + 14*v**3 + 31*v**2 + 18*v + 6. Let p(x) = h*a(x) - 7*k(x). Factor p(j).
-j*(j + 1)**2*(j + 12)
Solve 132 - 152*d - d**3 - 205/3*d**2 = 0 for d.
-66, -3, 2/3
Let j(h) be the third derivative of 10*h**7/21 + 26*h**6/3 + 46*h**5/15 - 546*h**4 + 2646*h**3 + 5*h**2 + 304*h. Suppose j(u) = 0. Calculate u.
-7, 9/5
Factor 0 - 4/7*d - 4/7*d**2.
-4*d*(d + 1)/7
Let q(j) = -31*j - 205. Let i be q(-9). Suppose 2*u + 4*t - 52 = 0, -3*t = 3*u - t - i. Factor -u + 10/3*w**2 - 1/3*w**5 + 0*w**4 - 20*w + 5*w**3.
-(w - 3)**2*(w + 2)**3/3
Let t(j) be the first derivative of j**3/15 + 1653*j**2/5 + 2732409*j/5 + 4970. Factor t(o).
(o + 1653)**2/5
Let g be (342/(-190))/(6/(-8)). Determine c, given that 39/5*c - 6 - g*c**2 = 0.
5/4, 2
Let w be (-665)/(-15) - ((-8)/(-12))/(-1). Find n such that 8915*n**2 + 20*n**4 + w*n - 65*n**3 - 8915*n**2 = 0.
-3/4, 0, 1, 3
Let t(q) = q**3 - 4*q**2 + 11*q - 12. Let m be t(4). Let g be (m/110)/(62/155). Suppose -2/11*v**2 - 6/11 + g*v = 0. Calculate v.
1, 3
Let m = -504 + 505. Let w be (m - 2)*(-3 - -3). Factor w*j**2 + 3/5*j - 4/5*j**3 - 1/5.
-(j + 1)*(2*j - 1)**2/5
Suppose 20*k - 16 = -4*t + 16*k, -3*k + 2 = -2*t. Suppose -2*v = 2, 69*u + t*v + 2 = 72*u. Factor 2/5*p - p**2 - 1/5*p**4 + 4/5*p**3 + u.
-p*(p - 2)*(p - 1)**2/5
Let c(h) be the third derivative of -h**5/100 + h**4/5 + 24*h**3/5 + 2*h**2 + 96*h. Determine s so that c(s) = 0.
-4, 12
Let t = -1293 + 16845/13. Factor -2/13*r**2 + 38/13 - t*r.
-2*(r - 1)*(r + 19)/13
Solve 3*g**3 - 1570*g + 50*g**2 - 1586*g - 86*g**4 + 56*g**5 + 3144*g - 11*g**3 = 0 for g.
-3/4, 0, 2/7, 1
Let u(q) be the first derivative of 2*q**3/21 - 856*q**2/7 + 1710*q/7 + 8026. Factor u(n).
2*(n - 855)*(n - 1)/7
Factor -20/3 + 19/3*z - 1/3*z**3 + 2/3*z**2.
-(z - 5)*(z - 1)*(z + 4)/3
Let g be 95/15 - (3/4)/((-81)/(-540)). Factor 4/3*v - g*v**3 + 0 + 0*v**2.
-4*v*(v - 1)*(v + 1)/3
Let z(s) be the second derivative of -s**4/18 - 16*s**3/3 - 192*s**2 - 29*s + 24. Factor z(w).
-2*(w + 24)**2/3
Let o(u) be the first derivative of -11/3*u**3 - 18*u**2 + 125 - 36*u - 1/4*u**4. Suppose o(n) = 0. What is n?
-6, -3, -2
Factor 1/11*o**5 - 67/11*o - 13/11*o**4 - 62/11*o**3 - 98/11*o**2 - 17/11.
(o - 17)*(o + 1)**4/11
Let a(p) be the third derivative of -73/30*p**5 + 14*p**4 - 48*p**3 + 43*p**2 + 7/30*p**6 + 0 + 0*p - 1/105*p**7. Factor a(s).
-2*(s -