 0*n - 16/39*n**v - 31*n**2 + 0 - 49/390*n**5. Factor q(p).
-2*(7*p + 4)**2/13
Suppose 45 = 4*x - 4*c + 1, 0 = -2*c. Suppose -3*u = -61 - x. Factor 14*n**2 + 7*n**3 - 60*n**4 - u*n**2 + 25*n**5 + n**3 + 37*n**3.
5*n**2*(n - 1)**2*(5*n - 2)
Suppose 79*w = 69*w - 2040. Let x be ((-85)/w)/((-30)/(-96)). Factor 11/3*q**2 - q**3 + x*q + 0.
-q*(q - 4)*(3*q + 1)/3
Factor 0*v**3 - v**3 - 2260*v**2 - 17*v + 2272*v**2 - 30.
-(v - 10)*(v - 3)*(v + 1)
Suppose -120*j = -126*j + 12. Suppose 2*g - 2 = 4*y, -j*g - 6*g = -y - 38. Factor -2/9*d**y - 200/9 + 40/9*d.
-2*(d - 10)**2/9
Suppose -a = 5*x - 21, 3*a - 17 = -14. Determine y so that -81*y**2 + 2*y**3 + 306*y - 210*y - 2*y**3 - 36 - 3*y**5 + 9*y**x + 15*y**3 = 0.
-3, 1, 2
Let i(f) be the second derivative of -2/15*f**6 + 2/3*f**3 - 1/2*f**5 + 0*f**2 + 0 - 56*f - 1/6*f**4. Let i(o) = 0. What is o?
-2, -1, 0, 1/2
Let k(t) = 17888*t - 143100. Let b be k(8). Factor 4/3*y**2 + 0*y + 2/3*y**b + 0 - 2*y**3.
2*y**2*(y - 2)*(y - 1)/3
Let n(w) = -11*w - 9. Let m be n(-5). Factor 30*j**3 + 9*j + 5*j**4 + 689*j**5 - 70*j**2 - 15 - 694*j**5 + m*j.
-5*(j - 1)**4*(j + 3)
Suppose 4*h + 5*y + 18 = -13, -3*h = y + 15. Let k be (-2)/h*8/18. Factor k*c**3 + 2/9*c**4 - 2/9*c - 2/9*c**2 + 0.
2*c*(c - 1)*(c + 1)**2/9
Let g(o) be the first derivative of -2*o**3/27 + 50*o/9 + 2695. What is t in g(t) = 0?
-5, 5
Factor -10935*p + 66*p**3 + 0 - 3/2*p**4 - 567/2*p**2.
-3*p*(p - 27)**2*(p + 10)/2
Let j(v) be the third derivative of -16/15*v**5 - 4/15*v**7 + 0*v**3 - 23/30*v**6 + 0*v + 0 - 2/3*v**4 - 17*v**2 - 1/28*v**8. Solve j(b) = 0.
-2, -1, -2/3, 0
Let g = 270 - 709. Let l = -437 - g. Factor 0 + 4/3*t**l + 8/3*t.
4*t*(t + 2)/3
Let h(r) be the third derivative of 8/105*r**7 + 2/3*r**4 - 2/15*r**6 + 0*r + 2 - 1/5*r**5 - 2/3*r**3 - 147*r**2. Factor h(b).
4*(b - 1)*(b + 1)*(2*b - 1)**2
Let c(w) be the third derivative of w**6/150 + 53*w**5/75 - 473*w**4/30 + 122*w**3 + 7058*w**2. Suppose c(p) = 0. What is p?
-61, 3, 5
Let z(m) be the second derivative of -m**7/294 + 4*m**6/105 - 3*m**5/35 - 9*m**4/14 + 9*m**3/2 - 81*m**2/7 - 210*m. What is h in z(h) = 0?
-3, 2, 3
Let m(a) be the second derivative of a**4/90 + 190*a**3/9 + 45125*a**2/3 - 4*a - 18. Let m(r) = 0. What is r?
-475
Factor -6*c**3 + c**2 + 158*c**4 - 6*c**3 - 156*c**4 - 16*c + 13*c**2 + 10*c**2.
2*c*(c - 2)**3
Let h = 411246/5 + -82249. Find r such that -1/5*r**2 + 2/5 + h*r = 0.
-1, 2
Determine y, given that -3/8*y**3 + 1869/8*y**2 - 292029/8*y + 290163/8 = 0.
1, 311
Let k(m) = 58353*m + 291768. Let d be k(-5). Factor x**2 + 4/5*x**d - 23/5*x - 6/5.
(x - 2)*(x + 3)*(4*x + 1)/5
Let g(o) be the first derivative of 3*o**3/4 - 2253*o**2/2 + 564001*o - 10447. Factor g(y).
(3*y - 1502)**2/4
Solve -163*h**3 + 5194*h**2 - 4158*h**2 - 56*h**4 + 2*h**5 - 544*h - 275*h**3 = 0 for h.
-8, 0, 1, 34
Let s be (-4 - -3) + 6 - (-16 + (-21 - -2) + 38). Suppose 5929/5 - 154/5*u + 1/5*u**s = 0. What is u?
77
Let r(z) = -7*z**3 + 2*z**2 - 2*z - 7. Let l be r(4). Let y = l - -433. Factor -4/3 - 2/9*x**y + 10/9*x.
-2*(x - 3)*(x - 2)/9
Let l(x) be the second derivative of -x**4/48 - 5*x**3/4 + 8*x**2 - 535*x. Factor l(v).
-(v - 2)*(v + 32)/4
Let w(r) = -r**2 - 14*r + 51. Let m(h) = -4*h**2 - 42*h + 154. Let v = 158 + -154. Let i(l) = v*m(l) - 14*w(l). Determine y, given that i(y) = 0.
7
Determine r so that 1/4*r**2 + 0 - 205/4*r = 0.
0, 205
Let x(y) be the second derivative of y**6/120 - y**5/20 - 15*y**2 - 26*y. Let c(f) be the first derivative of x(f). Let c(a) = 0. Calculate a.
0, 3
Let m(i) be the third derivative of i**6/80 + 13*i**5/8 + 1474*i**2. Determine g, given that m(g) = 0.
-65, 0
Let u(v) be the second derivative of v**5/20 - 71*v**4/3 - 571*v**3/6 - 143*v**2 - 8266*v. What is k in u(k) = 0?
-1, 286
Let s(w) = w + 71. Let r be s(-9). Determine c so that -r*c - 585*c**2 - 124*c - 119*c - 20 - 405*c**3 + 105*c = 0.
-1, -2/9
Let f = 463031/2 + -231458. Factor 0 + f*x + 5/2*x**2.
5*x*(x + 23)/2
Let u(w) be the second derivative of -10/3*w**2 - 2*w + 1/36*w**4 - 19/18*w**3 - 71. Let u(n) = 0. Calculate n.
-1, 20
Let m be 7/(-3)*((-1)/42)/((-53)/(-106)). Factor -4/9 - g - m*g**3 - 2/3*g**2.
-(g + 1)**2*(g + 4)/9
Let r be 151/3 - 1/(-57)*-19. Let z(a) be the first derivative of 115/2*a**4 + 33*a**5 - 5 + 45/2*a**2 + 15/2*a**6 + r*a**3 + 5*a. Factor z(d).
5*(d + 1)**3*(3*d + 1)**2
Let a(c) be the second derivative of -c**5/60 - 9*c**4/4 - 118*c**3/9 - 26*c**2 + 1824*c. Factor a(x).
-(x + 1)*(x + 2)*(x + 78)/3
Let j(s) = -15*s**3 - 60*s**2 - 48*s - 189. Let l be j(-4). Find n such that 10*n + 1/4*n**4 - 5/2*n**l + 21/4*n**2 - 25 = 0.
-2, 2, 5
Solve 45/2 + 22*d - 1/2*d**2 = 0.
-1, 45
Let t(p) be the first derivative of p**6/60 - 9*p**5/50 - 13*p**4/10 - 1029. Solve t(o) = 0.
-4, 0, 13
Let q = -21 - -23. Suppose r + 2*o = -2*o + 22, -6 = -q*o. Find u such that -20*u**2 + 39*u - 2 - 34*u + 12 - 10*u**3 + 5*u**5 + r*u**4 = 0.
-2, -1, 1
Determine g so that 1/5*g**2 + 412/5 + 208/5*g = 0.
-206, -2
Let o(k) be the third derivative of 5/72*k**4 + 0*k + 1/540*k**5 + 0 + 55*k**2 + 7/27*k**3. Factor o(l).
(l + 1)*(l + 14)/9
Let -50*y**4 - 338*y**2 + 659*y**2 - 4 - 322*y**2 - 8 + 178*y + 254*y**3 - 369*y**2 = 0. What is y?
2/25, 1, 3
Let n = 250 - 247. Let u(c) = -11*c**4 - 25*c**3 - 2*c**2 + 28*c + 16. Let j(b) = -4*b**4 - 9*b**3 - b**2 + 9*b + 5. Let f(v) = n*u(v) - 8*j(v). Factor f(g).
-(g - 2)*(g + 1)*(g + 2)**2
Let u be ((-58)/319)/(32/(-44)). Let o(f) be the first derivative of 0*f + 1/6*f**6 + 0*f**2 + f**3 - 4 - 3/5*f**5 - u*f**4. Solve o(s) = 0 for s.
-1, 0, 1, 3
Factor 2/19*q**3 - 12/19*q - 16/19 + 6/19*q**2.
2*(q - 2)*(q + 1)*(q + 4)/19
Let d(a) be the second derivative of -2*a**3 - 174*a**2 + 13*a - 9. Let r be d(-29). Suppose -3/7*t + 3/7*t**2 - 3/7*t**4 + 3/7*t**3 + r = 0. Calculate t.
-1, 0, 1
Let a(u) be the first derivative of 1/3*u**6 - 22*u**2 - 2*u**5 + 16*u + 56 + 1/2*u**4 + 34/3*u**3. Solve a(n) = 0 for n.
-2, 1, 4
Let z(k) be the first derivative of 2*k**7/245 - 2*k**6/105 - 4*k**5/105 + 48*k**2 - 100. Let b(t) be the second derivative of z(t). Factor b(d).
4*d**2*(d - 2)*(3*d + 2)/7
Factor -2/5*q**2 - 1396/5*q - 243602/5.
-2*(q + 349)**2/5
Let v(k) be the second derivative of -k**6/15 - 119*k**5/10 - 1599*k**4/2 - 22815*k**3 - 118638*k**2 - 3486*k - 2. Factor v(n).
-2*(n + 2)*(n + 39)**3
Factor -68*c - 2312 - 1/2*c**2.
-(c + 68)**2/2
Let v(q) be the second derivative of -q**5/110 + 39*q**4/22 - 7*q**3 + 115*q**2/11 + 877*q. Solve v(u) = 0 for u.
1, 115
Suppose -10*w + 2 = -28. Factor w*b**2 + b**2 - 252*b + 212*b - 3*b**2 + 75 + 4*b**2.
5*(b - 5)*(b - 3)
Let d be (27 - 5)/(1 - -1) + 2. Find n, given that 13*n**2 + 9*n**3 - 46*n + 16*n + d*n**3 - 23*n**3 = 0.
0, 3, 10
Let p(m) be the third derivative of m**8/48 - 11*m**7/56 - 5*m**6/36 - 2*m**3/3 + 39*m**2. Let w(q) be the first derivative of p(q). Factor w(v).
5*v**2*(v - 5)*(7*v + 2)
Let f(u) be the first derivative of -108*u**6 + 16398*u**5/5 - 24479*u**4 - 73354*u**3/3 - 8684*u**2 - 1352*u - 559. Determine z, given that f(z) = 0.
-1/4, -2/9, 13
Suppose 2*f - l = 19, 7 = -4*f + 5*f - 3*l. Factor -2*p - f*p - p**2 + 0*p**2 + 4*p**2.
3*p*(p - 4)
Let r = -132 + 134. Let n(f) = -f**3 + 5*f**2 + 14*f. Let o be n(7). Let 16*v**2 - 24*v**r + o*v - 4*v**3 + 12*v = 0. What is v?
-3, 0, 1
Factor 408*g**3 + 7546368*g - 256576512 - 3/4*g**4 - 83232*g**2.
-3*(g - 136)**4/4
Suppose -32*m + 105 - 105 = 0. Let o(z) be the third derivative of -1/360*z**6 + 4*z**2 + 0*z**3 + 1/36*z**5 + 0 + m*z + 0*z**4. Factor o(x).
-x**2*(x - 5)/3
Let u(z) be the second derivative of z**5/70 + 755*z**4/42 + 1507*z**3/21 + 753*z**2/7 + 775*z. Factor u(t).
2*(t + 1)**2*(t + 753)/7
Suppose -82*t**3 + 11819*t**4 + 25*t**3 - 54*t**3 + 783*t**2 + 306 + 1191*t - 11828*t**4 = 0. Calculate t.
-17, -1, -1/3, 6
Suppose 18 = 5*v - 3*h, -3*h = 26*v - 23*v - 6. Let f = 0 + 4. Let -22*o**2 - 16*o - o**v + f*o**2 + 31*o + 4*o**3 = 0. What is o?
0, 1, 5
What is r in -3/7*r**2 + 1413/7*r + 1416/7 = 0?
-1, 472
Let r(j) be the second derivative of 0*j**4 + 29*j - 1/20*j**5 + 0*j**2 + 0 - 1/180*j**6 + 11/3*j**3. Let m(g) be the second derivative of r(g). Solve m(u) = 0.
-3, 0
Let t = 721 - 719. Let v be t*(-1 - (35/25)/(-1)). Solve 2/5*i - v + 2/5*i**2 = 0.
-2, 1
Let o = 81 + -6