2*a**2 = 0.
-2, 9, 13
Let u = -6703/9 + 745. Let m(w) be the second derivative of 17*w - u*w**2 + 1/90*w**5 + 0 - 1/9*w**3 + 0*w**4. Factor m(x).
2*(x - 2)*(x + 1)**2/9
Let o = 139239 - 139237. Let m = -166 - -1001/6. Factor 2/3*j - 1/2*j**3 - m*j**o + 2/3.
-(j - 1)*(j + 2)*(3*j + 2)/6
Let c = -499935 + 3499553/7. Determine w, given that -c + 4/7*w + 4/7*w**2 = 0.
-2, 1
Find a such that -2*a**2 - 656*a - 83 + 27 + 29 + 27 = 0.
-328, 0
Let k(l) be the third derivative of 14*l**2 - 10*l**4 - 5/4*l**5 - 4*l + 0 - 1/24*l**6 + 160/3*l**3. Find m such that k(m) = 0.
-8, 1
Let u(l) be the first derivative of -l**5/15 - 412*l**4/3 - 339488*l**3/3 - 139869056*l**2/3 - 28813025536*l/3 + 2058. What is a in u(a) = 0?
-412
Determine g so that 34*g**2 + 92*g**2 - g - 88 - 47 - 125*g**2 + 3 = 0.
-11, 12
Let z = 336 + -326. Let b be 0/(-4)*(1 - 15/z). What is c in b + 0*c - 2/11*c**2 = 0?
0
Let l = -4245 + 4248. Let y(i) be the first derivative of 0*i - 1/6*i**2 + 1/15*i**5 - 1/9*i**l + 1/12*i**4 - 10. Factor y(s).
s*(s - 1)*(s + 1)**2/3
What is p in 3/4*p**4 - 99*p + 12*p**3 - 135 + 21/4*p**2 = 0?
-15, -2, 3
Let u be 6/(-2) - 28116/884. Let l = u + 454/13. Factor -l*a**2 + 2/17*a + 0 - 2/17*a**3 + 2/17*a**4.
2*a*(a - 1)**2*(a + 1)/17
Let g(d) be the third derivative of 0 + 8*d**2 + 0*d**3 + 1/60*d**6 + 3/4*d**4 + 0*d - 1/5*d**5. Suppose g(v) = 0. What is v?
0, 3
Factor -2310*j - 5/2*j**2 - 533610.
-5*(j + 462)**2/2
Let x(m) be the first derivative of -75*m**4/4 + 20*m**3/3 + 675*m**2/2 - 180*m - 4491. Suppose x(a) = 0. Calculate a.
-3, 4/15, 3
Let l(r) be the second derivative of -r**5/60 - 5*r**4/36 - 7*r**3/18 - r**2/2 - 79*r + 36. Suppose l(p) = 0. Calculate p.
-3, -1
Let r be (-20)/(-7)*3395/1940. Solve 1/11*y**r + 0*y + 0 + 4/11*y**2 - 4/11*y**3 - 1/11*y**4 = 0.
-2, 0, 1, 2
Find g such that 1634432/5 + 2/5*g**4 + 84*g**3 - 75936*g + 18434/5*g**2 = 0.
-113, 8
Let x(g) be the third derivative of -g**5/210 - 5*g**4/14 - 23*g**3/3 + 2041*g**2 - g. Suppose x(t) = 0. What is t?
-23, -7
Let h = -384214/7 + 54889. Factor h*z**2 + 48/7*z - 3/7*z**3 + 36/7.
-3*(z - 6)*(z + 1)*(z + 2)/7
Suppose 28 = 2*o + 3*q, 0 = -2*q - 260 + 276. Factor 3/4 + 3/4*v**4 - 3/2*v**o + 0*v + 0*v**3.
3*(v - 1)**2*(v + 1)**2/4
Let f(c) be the second derivative of 36*c - 1/75*c**6 + 0 - 1/6*c**4 + 2/25*c**5 + 2/15*c**3 + 0*c**2. Factor f(r).
-2*r*(r - 2)*(r - 1)**2/5
Let c = -655 - -7865/12. Let z(f) be the second derivative of 0 + 3/20*f**5 + 0*f**2 - c*f**4 + 1/6*f**6 - 3*f - 2/21*f**7 + 1/6*f**3. Let z(g) = 0. What is g?
-1, 0, 1/4, 1
Let r(i) be the second derivative of 0*i**2 - 2/135*i**6 + 0*i**4 + 0 + 1/90*i**5 + 102*i + 1/189*i**7 + 0*i**3. Solve r(w) = 0 for w.
0, 1
Let g(y) be the third derivative of 0*y**4 - 1/945*y**7 + 0*y**6 - 18*y**2 + 1/270*y**5 + 0*y**3 + 0 - y. Factor g(f).
-2*f**2*(f - 1)*(f + 1)/9
Let j be 36 - ((-41783)/(-517) - 45). Factor 38/11*v + 40/11 - j*v**2.
-2*(v - 20)*(v + 1)/11
Let t(k) be the first derivative of 3*k**4/28 + 76*k**3/7 + 2055*k**2/14 + 4950*k/7 + 2470. Factor t(s).
3*(s + 5)**2*(s + 66)/7
Let g = -422 - -423. Let h be (6/(-10) + 117/45)/g. Let 0 - 4/3*w + 0*w**h + 1/3*w**3 = 0. What is w?
-2, 0, 2
Let v(a) be the second derivative of a**5/90 + 17*a**4/36 - 2*a**3 + 78*a**2 + 137*a. Let i(n) be the first derivative of v(n). Factor i(r).
2*(r - 1)*(r + 18)/3
Let w(x) = -x**3 - 3*x**2 - 369*x + 1165. Let q be w(3). Suppose 14/9*s - 8/9*s**5 - 26/9*s**3 - 28/9*s**2 + 8/9 + 40/9*s**q = 0. What is s?
-1/2, 1, 4
Let d = 62 - 62. Let l be 9/(-3) - 40/(-12). Factor d*n + l*n**3 + 0 - 1/3*n**2.
n**2*(n - 1)/3
Let d = -17561 + 17561. Let a(s) be the second derivative of -21*s + d*s**5 + 0*s**3 + 0 + 0*s**4 + 0*s**2 - 1/21*s**7 + 1/5*s**6. Factor a(k).
-2*k**4*(k - 3)
Let b be (-112)/2352*(-2)/((-69)/72 + 1). Find j, given that 10/7*j**2 - b*j - 2/7*j**3 + 8/7 = 0.
1, 2
Solve 65*y - 180 - 1390 + 2*y + 262*y - 20*y + y**2 = 0.
-314, 5
Let z = -211 + 230. Find p, given that 25*p**2 - 12*p**4 + z*p**3 - 7 - 14*p - 5*p**5 - 1 + 10*p**4 - 15*p**4 = 0.
-4, -1, -2/5, 1
Let j(s) be the third derivative of s**11/207900 + s**10/126000 - s**9/151200 + 37*s**5/60 + 2*s**2 - 12. Let k(o) be the third derivative of j(o). Factor k(l).
2*l**3*(l + 1)*(4*l - 1)/5
Let n(x) be the second derivative of 0*x**3 - 5 - 1/75*x**6 + 0*x**2 - 2/15*x**4 - 15*x + 1/10*x**5. Factor n(z).
-2*z**2*(z - 4)*(z - 1)/5
Let w be (-5073)/(-1615) + 2/34. Factor -34/5*r - w*r**2 - 2/5*r**3 - 4.
-2*(r + 1)*(r + 2)*(r + 5)/5
Determine w, given that 50/3 - 5/6*w**2 - 20/3*w = 0.
-10, 2
Determine w, given that 31*w**2 - 175*w - 81*w**2 + 51*w**2 - 271 - 83 = 0.
-2, 177
Let p be -1 - -2 - (5 - 6). Suppose 168*t - 687 + 183 = 0. Find l such that -2/17*l**4 - 2/17*l**p + 12/17*l**5 + 0*l + 0 - 8/17*l**t = 0.
-1/2, -1/3, 0, 1
Let i(m) be the third derivative of 1/4*m**3 + 0 + 8*m - 1/960*m**6 + 1/24*m**4 - 1/480*m**5 - 6*m**2. Find u, given that i(u) = 0.
-2, 3
Factor 475/6*y + 1/6*y**2 - 238/3.
(y - 1)*(y + 476)/6
Let h = -71157/2 + 36276. Let o = -697 + h. Determine m so that -1/2*m**3 + 0 + 0*m - 1/6*m**2 - 1/6*m**5 - o*m**4 = 0.
-1, 0
Let u(v) be the second derivative of -7*v**5/300 - 37*v**4/120 - v**3/3 - 82*v**2 - 153*v + 2. Let d(h) be the first derivative of u(h). Factor d(g).
-(g + 5)*(7*g + 2)/5
Let w(q) = -25*q - 4. Let s(a) = -8*a - 1. Let h(l) = 7*s(l) - 2*w(l). Let r be h(-2). Solve 9*p**3 + 3*p**2 + 20*p**4 + 4*p**5 + 23*p**3 + r*p**2 = 0 for p.
-2, -1, 0
Let w(v) = -96*v - 478. Suppose -5*h - 15 = 2*j, h + 0*j = -3*j + 10. Let u be w(h). Suppose 0 - 16/5*a**u - 12/5*a**3 + 16/5*a = 0. Calculate a.
-2, 0, 2/3
Let s be (-125)/(-100)*(3 - -1). Let j(m) = -m**2 - 97*m + 510. Let u be j(s). Suppose 0 + 4/3*x**4 + 2*x**2 + 13/3*x**3 + u*x - x**5 = 0. Calculate x.
-1, -2/3, 0, 3
Let i be (-41)/16*-2 + (-2038 - -2034). Factor 3/8*d**2 + i - 3/2*d.
3*(d - 3)*(d - 1)/8
Let h be 6 + 24/252*-15. Factor 24/7*x - 4/7*x**2 - h.
-4*(x - 4)*(x - 2)/7
Let u(k) be the second derivative of -k**7/42 + k**6/5 + 7*k**5/10 - 4*k**4 - 13*k**3/6 + 21*k**2 - 3*k - 71. Determine p so that u(p) = 0.
-3, -1, 1, 2, 7
Factor 2/5*j**2 - 1194/5 - 1192/5*j.
2*(j - 597)*(j + 1)/5
Let p be 2*8/(-240)*(-24 - 0). Let c be ((-168)/(-10))/((1470/20)/49). Factor -p - c*b - 98/5*b**2.
-2*(7*b + 2)**2/5
Let h(y) be the third derivative of 4*y**4 + y**2 + 38*y - 9/5*y**5 + 0 - 8/3*y**3. Factor h(q).
-4*(3*q - 2)*(9*q - 2)
Let z = -56 + 55. Let h be 1/(z - 224/(-220)). Factor 75*a + 84*a**2 + 0*a + h*a**3 + 10 + 36*a**2.
5*(a + 1)**2*(11*a + 2)
Let r(u) be the second derivative of -3/20*u**5 - 7203/2*u**3 + 0 - 147/4*u**4 - 155*u - 352947/2*u**2. Factor r(j).
-3*(j + 49)**3
Let b be (4/27)/(7126/13743). Solve 10/7*w**2 + 8/7*w**3 + b*w**4 + 0 + 4/7*w = 0.
-2, -1, 0
Let i = -18/13 - -85/52. Suppose 46*u - 18 = 40*u. What is b in 1/4*b**4 - 3/8*b**u + i - 1/2*b**2 + 3/8*b = 0?
-1, -1/2, 1, 2
Let o(v) be the second derivative of 0 - 1/30*v**6 - 2/3*v**4 + 9/2*v**2 + 45*v + 1/2*v**5 - 5/3*v**3. Factor o(y).
-(y - 9)*(y - 1)**2*(y + 1)
Let k be -4 - ((-328)/52 + 2). Let f(i) be the second derivative of -10*i - k*i**2 + 1/78*i**4 + 0 + 0*i**3. Factor f(j).
2*(j - 2)*(j + 2)/13
Let g(k) be the first derivative of -20 + 192*k + 80*k**2 - 2/3*k**6 - 148/3*k**3 - 44/5*k**5 - 39*k**4. Determine v so that g(v) = 0.
-4, -3, -1, 1
Let i(w) be the second derivative of -w**7/2520 + w**6/24 + w**4/4 - 2*w**3/3 + 8*w + 6. Let q(z) be the third derivative of i(z). Factor q(o).
-o*(o - 30)
Let l = 8322 - 8317. Let z = -2576/5 - -517. Determine g, given that -3*g**4 - 21/5*g**3 - 3/5*g**l + 0 + 0*g - z*g**2 = 0.
-3, -1, 0
Let b(o) be the first derivative of 2*o**5/105 + 2*o**4/7 + 20*o**3/21 + 4*o**2/3 + 6*o/7 - 3421. Determine c so that b(c) = 0.
-9, -1
Let y = -17310/13 - -34633/26. Let b(v) be the second derivative of 1/40*v**6 - 3/16*v**5 + 0*v**2 - 28*v + 0 - y*v**3 + 1/2*v**4. Suppose b(c) = 0. What is c?
0, 1, 2
Let f be 75/(-275) - (6 - 3237/495). Let n(v) be the second derivative of 4*v**2 + 37/6*v**4 - 21/10*v**5 + f*v**6 - 26*v - 8*v**3 + 0. Factor n(t).
2*(t - 2)**2*(t - 1)*(4*t - 1)
Let o be 3 + (-118 + 94)*1/9. Find j such that -20/3*j - 38/3*j**2 + o*j**4 - 1 - 8*j**3 + 4/3*j**5 = 0.
-1, -1/4, 3
Let r(i) be the first derivative