**2 - a**4 - y*a**2 + a**v + 9*a**2 = 0?
-1, 1
Let p(k) be the third derivative of -k**7/70 - 23*k**6/20 - 12*k**5 + 6863*k**2. Factor p(b).
-3*b**2*(b + 6)*(b + 40)
Let b(p) = 4*p**2 + 4*p - 22. Let g be b(-3). Factor 3*i**4 - 9*i**g - 24*i**3 + 68*i - 66 + 19*i - 10*i - 9*i**3 + 28*i.
3*(i - 11)*(i - 1)**2*(i + 2)
Let u(j) be the first derivative of 55*j**4/4 - 2215*j**3/3 + 11300*j**2 - 6000*j - 1733. What is x in u(x) = 0?
3/11, 20
Suppose -2*j + 2*g = -18, 5*j + 3*g - 5*g - 33 = 0. Suppose 3*p - c = 0, 28*p = 26*p - j*c. Factor 9/5*v + p - 3/5*v**2.
-3*v*(v - 3)/5
Let s be (1296/80)/(3/20). What is w in 63/4*w**3 - 90*w + s + 9/4*w**4 - 141/4*w**2 - 3/4*w**5 = 0?
-3, 1, 4
Let d(y) = y**3 - y**2 + 5*y + 2. Let g(t) = 1212*t**2 - 122394*t - 123621. Let r(c) = 3*d(c) - g(c). What is w in r(w) = 0?
-1, 203
Let j(f) be the third derivative of f**8/23520 - f**7/2940 - f**6/630 - 35*f**4/24 - f**3/3 + 59*f**2. Let b(s) be the second derivative of j(s). Factor b(a).
2*a*(a - 4)*(a + 1)/7
Solve -1412327 + 184663 - 3400*c - 4*c**2 - 1032*c = 0 for c.
-554
Let g(w) be the second derivative of -w**7/14 - 13*w**6/5 + 819*w**5/20 + 13*w**4/2 - 136*w**3 - 15902*w. Find s, given that g(s) = 0.
-34, -1, 0, 1, 8
Let b be (-20)/(-15) + ((-134)/(-3) - -2). Find f, given that -120*f - 32*f**3 + 33*f**3 - b - 3*f**4 - 30*f**2 - 31*f**3 - 69*f**2 = 0.
-4, -1
Let a(b) be the third derivative of b**7/42 + 17*b**6/24 + 53*b**5/12 + 35*b**4/24 - 65*b**3 - 8*b**2 + 29*b - 13. Find l such that a(l) = 0.
-13, -3, -2, 1
Let c(d) = d**2 + 20*d. Let u be (-62)/3 + (-24)/(-36). Let m be c(u). Factor m*v**2 - 30 - 2*v**2 - 50*v + 7*v**2 + 155.
5*(v - 5)**2
Let u be (4/9 - 0)/(602/2709). Factor -o**2 - o + 10*o**u - 16*o**3 + o + 13*o**3.
-3*o**2*(o - 3)
Suppose -2*b - 5*v + 56 = 0, 2*b + v = b + 34. Suppose 0 = -c - 35 + b. Factor 46*f**2 - 20*f + 22*f**2 + 52*f**2 - 105*f**c - 226*f**4 - 19*f**4.
-5*f*(f + 1)*(7*f - 2)**2
Factor -185*w**2 - 175*w**2 - 3*w**3 + 58*w + 396*w**2 - 19*w.
-3*w*(w - 13)*(w + 1)
Suppose -3*b**4 + 20*b**2 + 386*b**3 - b**5 - 374*b**3 - 26*b - 22*b = 0. What is b?
-4, -3, 0, 2
Let x be 9/((117/(-130))/(3/(-5))). Let u be x/2 + 9 + -4. Factor -9*d**2 - 3 - 5 + 7*d**2 + u*d.
-2*(d - 2)**2
Let n = 293179 - 4984013/17. Find v such that -n*v**3 + 32/17*v - 2/17*v**5 + 0 - 2*v**2 + 2*v**4 = 0.
-1, 0, 1, 16
Let u be (-2 + -1)*6/4*((-820)/(-180) + -5). Factor -1/4*v**4 + 5/4*v**3 + 0 + 1/4*v**u - 5/4*v.
-v*(v - 5)*(v - 1)*(v + 1)/4
Let q(k) be the second derivative of 722*k**4/15 + 1292*k**3/5 + 2601*k**2/5 - 42*k - 13. Factor q(g).
2*(38*g + 51)**2/5
Suppose -473*i + 1761 + 131 = 0. Factor 1/2*p**i + 4 + 9*p**2 - 7/2*p**3 - 10*p.
(p - 2)**3*(p - 1)/2
Suppose -12*u + 22 = -u. Let y = 1 + u. Let 39*n - 55*n**2 - 29*n + 8*n**y + 17*n**3 = 0. Calculate n.
0, 1/5, 2
Let t(m) = -3*m**2 + 5*m + 361. Let i be t(21). Let u = i - -1719/2. Find a, given that -1/2*a + 3/2*a**4 + 1/2*a**3 + 1 - u*a**2 = 0.
-1, 2/3, 1
Let -438*o**2 - 50/3*o**4 + 880/3*o**3 + 548/3*o - 64/3 = 0. What is o?
1/5, 2/5, 1, 16
Let h be (-2)/(-14) + (-181)/(-1267). Let q = -5/56 + 3/8. Factor -4/7*w + h + q*w**2.
2*(w - 1)**2/7
Let y(i) be the third derivative of i**7/14 - i**6/5 - 27*i**5/20 + 9*i**4/4 + 856*i**2. Find c, given that y(c) = 0.
-2, 0, 3/5, 3
Let u = -26 - -35. Suppose u*h - 36 = 3*h. Find f, given that -h*f + 7*f**2 - 2*f**2 - 3*f**2 = 0.
0, 3
Let s(g) be the first derivative of -1/4*g**3 - 1/8*g**2 + 1/20*g**5 + 1/2*g + 1/16*g**4 - 109. Find b such that s(b) = 0.
-2, -1, 1
Let y = 22154 + -132923/6. Let r(c) be the third derivative of 0 + 1/60*c**5 + 2/3*c**3 + c**2 + y*c**4 + 0*c. What is d in r(d) = 0?
-2
Suppose 1627 + 1458 = 3*d - 70 - 814. Factor 42*k - 1/3*k**2 - d.
-(k - 63)**2/3
Let m be 45*(-4)/36 - -9. Factor 0 + 2/3*l - 2/3*l**3 + 2/9*l**2 - 2/9*l**m.
-2*l*(l - 1)*(l + 1)*(l + 3)/9
Suppose -2647 = -4*j + 32341. Factor 8747*k - j*k - 15*k**3 + 5*k**2.
-5*k**2*(3*k - 1)
Factor 33*m**2 + 972/7*m - 3/7*m**3 + 0.
-3*m*(m - 81)*(m + 4)/7
Let s(b) = -245*b**2 + 4645*b - 4455. Let g(v) = 9*v**2 - 172*v + 165. Let l(u) = -55*g(u) - 2*s(u). Find r, given that l(r) = 0.
1, 33
Suppose 0 = -71*x + 17*x + 130 + 86. Factor 0*k + 0 + 0*k**3 + 0*k**2 + 1/3*k**x.
k**4/3
Factor 1690*m**2 - 2205*m**2 + 30 + 94*m - 1109*m.
-5*(m + 2)*(103*m - 3)
Let u(y) be the third derivative of -y**7/8820 + y**6/280 - 2*y**5/105 - y**4/12 - 15*y**2. Let b(g) be the second derivative of u(g). Factor b(w).
-2*(w - 8)*(w - 1)/7
Let k be (-3 + 56/16)*8. Suppose -2*b + 24 = 5*z, -k*b = -12*z + 10*z. Factor -32/7 - 32/7*r**z - 4/7*r**5 - 152/7*r**2 - 100/7*r**3 - 16*r.
-4*(r + 1)**2*(r + 2)**3/7
Let l(u) = 19*u**3 - 21*u**3 - 4 - 4*u**4 + 2 + 2*u. Let d(j) = -j**4 - j**3 + j. Let b = 342 - 341. Let i(x) = b*l(x) - 6*d(x). Find w, given that i(w) = 0.
-1, 1
Let u = -5/325226 + 13009075/2276582. Factor 0 - u*d - 2/7*d**2.
-2*d*(d + 20)/7
Let c(g) = -2*g**3 + 40*g**2 + 2*g - 4. Let a be c(20). Let w be 2 + (-17)/(442/a). Suppose -w*h**2 + 22/13*h - 12/13 - 2/13*h**3 = 0. Calculate h.
-6, 1
Let y(u) be the second derivative of -2*u**5/5 + 40*u**4/3 - 437*u**3/3 + 361*u**2 - 1553*u. Determine z, given that y(z) = 0.
1, 19/2
Suppose -174 = -72*m + 1338. Factor 3/5*z**3 + m*z - 15 - 33/5*z**2.
3*(z - 5)**2*(z - 1)/5
Let p(m) be the third derivative of m**8/168 - m**7/35 - m**6/20 + 7*m**5/30 + m**4/2 + 1162*m**2. Find x such that p(x) = 0.
-1, 0, 2, 3
Let i(q) be the second derivative of -q**5/10 - 11*q**4/3 - 35*q**3 - 144*q**2 - 1890*q. Solve i(p) = 0.
-16, -3
Let v(h) be the first derivative of -1/2*h**2 - 89 - 4/5*h - 1/15*h**3. Factor v(l).
-(l + 1)*(l + 4)/5
Let x = 26582 - 212413/8. Factor 0*v**2 - 3/8*v**5 - x*v**3 + 27/4*v**4 + 0*v + 0.
-3*v**3*(v - 9)**2/8
Let l(t) = -28*t**2 + 810*t - 1558. Let j(b) = -12*b**2 + 404*b - 780. Let q(h) = -5*j(h) + 2*l(h). Factor q(n).
4*(n - 98)*(n - 2)
Suppose -27*k + 35 = -5*u - 22*k, -2*k = -5*u - 35. Let d be -3*1 - (u - 38/(-10)). Let d*q**3 + 0 + 21/5*q**4 - 16/5*q**2 + 4/5*q = 0. Calculate q.
-1, 0, 2/7, 2/3
Let d(y) be the third derivative of 41/9*y**3 - 101*y + 0 - y**2 - 10/9*y**4 - 1/90*y**5. Determine r, given that d(r) = 0.
-41, 1
Let 26103*p**3 + 1868*p**2 - 52206*p**3 + 26099*p**3 = 0. Calculate p.
0, 467
Suppose -6 = -3*j - 3, -4*g - 3 = -3*j. Let m = -12 + 17. Factor 18*w**3 - 22*w**2 - 7*w**4 + g*w**2 - 3 + w**m + 13*w + 0*w**5.
(w - 3)*(w - 1)**4
Suppose 16*c - 385 = -321. Let f(n) be the first derivative of 1/12*n**c - 16/3*n - 15 - n**3 + 4*n**2. What is w in f(w) = 0?
1, 4
Let p(s) be the third derivative of -s**7/70 - 23*s**6/60 - 17*s**5/12 + 13*s**4/4 + 428*s**2. Factor p(m).
-m*(m + 3)*(m + 13)*(3*m - 2)
Let h = -930271/5 + 186060. What is l in -h*l**3 + 4*l**2 + 12/5*l - 8/5*l**4 + 0 + l**5 = 0?
-2, -2/5, 0, 1, 3
Suppose 0 = 5*y + 4*i - 28, -5*y + 2*i + 18 = 2. What is c in 344*c**y - 324*c - 1863*c**3 - 26*c**5 + 1487*c**2 - 53*c**2 + 2213*c**5 - 1802*c**4 + 24 = 0?
-1, 2/9, 1
Let s(c) = c**3 - c + 2314. Let g be s(0). Determine x, given that 49*x**3 + g + 4864*x - x**4 + 816*x**2 + 2*x**4 + 1782 = 0.
-16, -1
Let b be (11/(2464/84))/(-1 + (-87)/(-60)). Let -1/2*x**3 + b*x - 2/3 + 1/3*x**2 = 0. What is x?
-4/3, 1
Let c = 16631 + -16629. Let v(m) be the third derivative of 1/60*m**4 + 0*m - 1/75*m**5 + 2/15*m**3 + 0 - 33*m**c - 1/300*m**6. Suppose v(o) = 0. Calculate o.
-2, -1, 1
Let v(x) be the third derivative of -x**5/300 - 31*x**4/8 - 232*x**3/15 - 3*x**2 + 87*x + 1. Factor v(l).
-(l + 1)*(l + 464)/5
Suppose 122*z + 45 - 74 = 215. Let q(w) be the third derivative of 4/7*w**4 + 8/21*w**3 + 0 + 3/70*w**6 + 29/105*w**5 + 10*w**z + 0*w. Factor q(y).
4*(y + 1)*(y + 2)*(9*y + 2)/7
Let f be ((-306)/(-50) + -6)*(-45)/63*-7. Suppose -12/5*w**3 + 48/5*w + f*w**2 - 12/5 = 0. What is w?
-2, 1/4, 2
Let u = -73 - -77. Let -5*y**3 + 48*y - 10*y**3 - 36*y**2 - u*y**4 - 4*y + 40 - 29*y**3 = 0. What is y?
-10, -1, 1
Suppose -41*p = -7*p - 68. Factor -101*g + 12 + 177*g**p - 25*g**2 - 64*g**3 + 343*g - 14*g**3.
-2*(g - 3)*(g + 1)*(39*g + 2)
Let j(f) = -f**2 + 29*f - 12. Let c(p) = 4*p**2 - 116*p + 46. Let h(t) = -2*c(t) - 9*j(t). Let g(m) = 3*m - 1. Let n(z) = -6*g(z) - h(z). Factor n(d).
-(d - 10)*(d - 1)
Let t(i) be the second derivative of 1/40*i**5 