3, 3
Suppose 13*n + 4*d - 886 = 10*n, n - 277 = -5*d. Let l = n - 579/2. Factor 23/2*b + 1 - l*b**2.
-(b - 1)*(25*b + 2)/2
Let k be 1/(-3) - ((-455)/(-15))/(-13). Factor -6*l**4 + k*l**4 + 226*l**2 - 210*l**2.
-4*l**2*(l - 2)*(l + 2)
Suppose a + 3*w = -2*a - 2613, 0 = 4*a - 3*w + 3512. Let x = -872 - a. Solve 2/19*v**x + 6/19 - 2/19*v - 6/19*v**2 = 0 for v.
-1, 1, 3
Let w = 10483/6 + -7313/3. Let i = 691 + w. Find v such that i*v**3 + 0 + 1/4*v**4 + 1/4*v**2 + 0*v = 0.
-1, 0
Let z = -1665 - -1670. Let d(h) be the first derivative of -1/9*h**3 - 1/15*h**z + 0*h + 0*h**2 - 1/6*h**4 - 10. Solve d(s) = 0.
-1, 0
Let j(v) be the second derivative of -v**3/6 + v**2/2 - 69*v. Let m(c) = c**2 - 3*c + 1. Let p(x) = j(x) - m(x). Suppose p(b) = 0. Calculate b.
0, 2
Let h(t) = 13*t**3 - 7*t**2 + 13*t + 15. Let r(l) = -3*l**3 + 2*l**2 - 3*l - 4. Suppose 1161 - 1169 = -4*d. Let x(y) = d*h(y) + 9*r(y). Factor x(w).
-(w - 3)*(w - 2)*(w + 1)
Let r be 2/13 + 851/299. Let y(c) be the first derivative of -2632*c**4 - 686/3*c**6 - 6080/3*c**r - 128*c - 736*c**2 - 6664/5*c**5 - 19. Factor y(m).
-4*(m + 2)**2*(7*m + 2)**3
Let i be 262/1112 + (-6)/((-72)/(-3)). Let a = i - -566/695. Solve 16/5*y**3 + 0*y**2 + 64/5 - a*y**4 - 64/5*y = 0 for y.
-2, 2
Let d(q) be the third derivative of -q**5/12 - 61*q**4/24 - 91*q**3/3 + 80*q**2 + 1. Let d(f) = 0. What is f?
-7, -26/5
Factor -57 - 3346*i - 3*i**2 + 1698*i + 1708*i.
-3*(i - 19)*(i - 1)
Let x(y) be the first derivative of y**4/78 + 2*y**3/13 + 5*y**2/13 + 15*y - 49. Let o(s) be the first derivative of x(s). Factor o(m).
2*(m + 1)*(m + 5)/13
Solve -308/3 - 4/9*r**4 - 2438/9*r - 416/3*r**2 - 46/3*r**3 = 0 for r.
-21, -11, -2, -1/2
Let f be 0 + (-79)/(-790) + 1/5. Let v(t) be the first derivative of -f*t**4 + 8/15*t**3 + 9 + 0*t + 0*t**2 + 1/25*t**5. Factor v(s).
s**2*(s - 4)*(s - 2)/5
Let q = 182 - 907/5. Let w = 4361360 + -4361360. Suppose -6/5*h**4 - 3/5*h**3 + 0*h + w + 6/5*h**2 + q*h**5 = 0. What is h?
-1, 0, 1, 2
Suppose 2*f + q = 9, 11*f + 3*q - 9 = 8*f. Find s such that 1346*s**2 + 2*s**3 + 32*s - 1338*s**2 - f*s**3 = 0.
-2, 0, 4
Let a be ((-68)/(-28))/((-878)/(-3073)). Factor -b**2 - a*b - 33/2.
-(b + 3)*(2*b + 11)/2
Determine x so that 218 - 164 + 55*x**2 + 144*x - 76*x**2 + 276 + 1005*x = 0.
-2/7, 55
Let b(t) be the third derivative of t**6/320 + 843*t**5/160 + 236883*t**4/64 + 22188041*t**3/16 + 56*t**2 - 11*t. Let b(m) = 0. What is m?
-281
Let o(b) be the second derivative of -12*b + 29/18*b**4 - 1/9*b**3 + 0*b**2 + 0. Determine v, given that o(v) = 0.
0, 1/29
Let d(u) be the second derivative of -u**4/30 - 10*u**3/3 + 104*u**2/5 - 3754*u. Solve d(h) = 0 for h.
-52, 2
Let l(g) be the second derivative of -g**6/10 + 3*g**5 + 11*g**4 + 1072*g. Factor l(y).
-3*y**2*(y - 22)*(y + 2)
Let s(w) be the first derivative of -5*w**4/4 + 480*w**2 - 5120*w + 4388. Factor s(j).
-5*(j - 8)**2*(j + 16)
Let d be (-1)/((-4)/(-278))*-2. Factor -3*p**2 + 18 - d*p - 130*p + 266*p.
-3*(p - 2)*(p + 3)
Let -18270 + 2*b**5 - 36842 + 6713*b**4 + 1328*b - 7039*b**4 + 12782*b**3 + 41326*b**2 = 0. What is b?
-2, 1, 83
Let n(x) be the second derivative of -x**6/255 + 79*x**5/85 - 5917*x**4/102 - 8532*x**3/17 - 26244*x**2/17 + 3*x + 273. Factor n(v).
-2*(v - 81)**2*(v + 2)**2/17
Let 0*v + 0 - 33/8*v**2 + 3/8*v**3 = 0. What is v?
0, 11
Factor 28*s + 1103*s - 2*s**2 + 3027*s - 446*s - 1722368.
-2*(s - 928)**2
Let p be (8/154)/((-2 - 6/(-6))*2/(-14)). Find w, given that -1365/11*w**2 - p - 152/11*w + 1521/11*w**3 = 0.
-2/39, 1
Let t(j) be the first derivative of 21/5*j - 1/5*j**3 - 45 - 9/5*j**2. Factor t(x).
-3*(x - 1)*(x + 7)/5
Factor 24/7*u**2 + 0*u**3 + 32/7*u + 12/7 - 4/7*u**4.
-4*(u - 3)*(u + 1)**3/7
Let l be 4/14 + (-198)/(-42). Factor 32*b**2 - 21*b**2 + 13*b + l*b - 13*b**2.
-2*b*(b - 9)
Let z be 63/231*594/72. Let h be 2/(-1)*15/(-6). Determine p, given that -3/4*p**2 + 0 + 3/2*p**h + z*p**4 + 0*p + 0*p**3 = 0.
-1, 0, 1/2
Let w(u) = -u + 7. Let h be w(3). Let g = -52662365/11 - -4787488. Find x, given that g*x - 2*x**3 - 5/11*x**5 + 18/11*x**h - 2/11 + 8/11*x**2 = 0.
-2/5, 1
Factor c**5 - 839*c**2 + 48 + 27*c**4 + 1007*c**2 + 96*c**3 + 2*c**5 + 144*c.
3*(c + 1)*(c + 2)**4
Suppose -72*c + 0 + 189/4*c**3 - 9*c**4 - 33/2*c**2 - 3/4*c**5 = 0. Calculate c.
-16, -1, 0, 2, 3
Let d = -96603 + 96607. Solve -24/19*j**d - 104/19*j**2 - 96/19*j + 2/19*j**5 + 94/19*j**3 + 128/19 = 0.
-1, 1, 4
Let v(w) be the first derivative of w**3/3 - w**2 + w - 1491. Factor v(l).
(l - 1)**2
Let g = -21883/60 + 1459/4. Let m(b) be the third derivative of 37*b**2 + 0*b + 1/15*b**5 + 0*b**3 + 0 + g*b**6 + 0*b**4. Factor m(d).
4*d**2*(d + 1)
Let h = -301 + 291. Let z be 25/h*12/(-15). Determine n, given that -1/3*n**z - 4/3 + 5/3*n = 0.
1, 4
Let d(o) be the second derivative of o**4/54 + 298*o**3/27 - 1208*o**2/9 + 11518*o. Suppose d(u) = 0. Calculate u.
-302, 4
Let l(i) be the third derivative of i**7/504 - i**6/24 - 7*i**5/24 + 17*i**4/6 - i**2 - 24. Let f(m) be the second derivative of l(m). Factor f(u).
5*(u - 7)*(u + 1)
Let i(p) be the first derivative of -p**4/4 + 17*p**3/3 + 2*p**2 - 68*p - 2707. Find v, given that i(v) = 0.
-2, 2, 17
Let s(a) be the third derivative of a**8/560 + a**7/105 - a**6/75 + 4288*a**2. Factor s(w).
w**3*(w + 4)*(3*w - 2)/5
Let m(x) = 11*x**2 - 31*x + 8. Let k(h) = 32*h**2 - 94*h + 25. Suppose -3 - 15 = 3*s. Let g(f) = s*k(f) + 17*m(f). Factor g(b).
-(b - 7)*(5*b - 2)
Suppose 7 = 3*n + 22. Let b(w) = 2*w**4 + 11*w**3 + 12*w**2 - 9*w. Let v(o) = -o**4 - 7*o**3 - 8*o**2 + 6*o. Let q(s) = n*b(s) - 8*v(s). Factor q(d).
-d*(d - 1)**2*(2*d + 3)
Let c(k) be the second derivative of k**4/4 - 12*k**3 + 192*k**2 + 86*k - 11. Solve c(m) = 0.
8, 16
Let s(p) = 355*p**2 + 10498*p + 10449. Let g(d) = -125*d**2 - 3499*d - 3482. Let a(f) = -17*g(f) - 6*s(f). What is m in a(m) = 0?
-700, -1
Let t be (-5624)/(-912) - (3 - (-3)/(-3)). Let m(z) be the third derivative of -5/6*z**4 + 0*z - t*z**3 + 0 - 11*z**2 + 1/12*z**5. Let m(y) = 0. Calculate y.
-1, 5
Let o(b) be the first derivative of -32*b + 4*b**2 + 8/3*b**3 - 1/2*b**4 + 79. Find i such that o(i) = 0.
-2, 2, 4
Let f be ((-13)/(-15) - 2/(-15))*2. Factor -2324*b**f + 587*b + 120 + 2576*b**2 + 8*b**3 - 223*b + 0.
4*(b + 1)*(b + 30)*(2*b + 1)
Let t be 5 - 289/50*(-180)/(-144). Let a = -13/8 - t. Suppose 0 + 36/5*k + a*k**2 = 0. What is k?
-12, 0
Suppose 26*c + 22 + 30 = 0. Let o be -70*c/(-272) + (-9)/(-12). What is u in -8/17*u**3 + o*u + 14/17*u**2 + 0 = 0?
-1/4, 0, 2
Determine q, given that 1/2*q**4 - 75 + 23/6*q**2 + 77/6*q**3 - 231/2*q = 0.
-25, -3, -2/3, 3
Let j be 7 + 3/(-3) - 60/60. Let x(f) be the second derivative of -3/100*f**j + 3/4*f**4 - 15/2*f**3 + 0 + 75/2*f**2 - 20*f. Factor x(u).
-3*(u - 5)**3/5
Let s(h) be the second derivative of 5329*h**6/90 - 5183*h**5/30 - 145*h**4/9 - 4*h**3/9 + 348*h. Factor s(f).
f*(f - 2)*(73*f + 2)**2/3
Let c be 35/(-28)*72/(-45). Let j(m) be the second derivative of 0 - 7/2*m**3 - 6*m**c + 3/20*m**5 - 31*m - 1/2*m**4. Solve j(n) = 0 for n.
-1, 4
Factor -1/3*l**2 + 0 + 281/3*l.
-l*(l - 281)/3
Determine p so that 87464/5 - 3712/5*p - 2/5*p**3 - 206/5*p**2 = 0.
-58, 13
Let v be (0/(-1))/(8 - (7 - -2)). Let g(y) be the first derivative of -1/2*y**2 + v*y - 1/6*y**6 + 0*y**5 + 1/2*y**4 + 12 + 0*y**3. Factor g(p).
-p*(p - 1)**2*(p + 1)**2
Let v(d) = -d + d**2 + 10*d**2 - 22*d**2 + 12*d**2. Let q(b) = -5*b**3 - 3*b**2 + 8*b. Let m(s) = q(s) + 3*v(s). Factor m(g).
-5*g*(g - 1)*(g + 1)
Let q = -2/1969 - -4008/68915. Let t(p) be the first derivative of 0*p**4 + 0*p**2 - 2/7*p - q*p**5 + 4/21*p**3 + 17. Factor t(c).
-2*(c - 1)**2*(c + 1)**2/7
Determine p, given that 0 + 0*p + 2/9*p**3 - 634/9*p**2 = 0.
0, 317
Let h(q) be the second derivative of -5*q**7/42 - 8*q**6/3 - 25*q**5/4 + 115*q**4/6 + 130*q**3/3 - 140*q**2 - 9*q - 13. Solve h(c) = 0.
-14, -2, 1
Let l(w) be the second derivative of w**6/135 + w**5/45 - 8*w**4/9 - 98*w**3/27 - 49*w**2/9 - 4623*w. Determine b, given that l(b) = 0.
-7, -1, 7
Let z(q) be the third derivative of q**6/1020 + 7*q**5/255 - 3*q**4/68 - 42*q**3/17 + 2*q**2 - 129. What is j in z(j) = 0?
-14, -3, 3
Let f = 73504/39871 + 8/3067. Factor f*j - 72/13 - 2/13*j**2.
-2*(j - 6)**2/13
Let g(t) = -t**3 + 3*t**2 - 3*t + 22. Let y be g(0). Fact