s i?
-1, 1, 6
Determine z so that -16/11 + 406/11*z**2 - 60/11*z = 0.
-4/29, 2/7
Suppose -7*q + 6*q = -84. Let v be ((q/8)/7)/((-1)/(-6)). Suppose 3*a**2 + v*a**2 - 16*a**2 = 0. Calculate a.
0
Let n(t) be the third derivative of 2*t**7/105 - 29*t**6/5 + 7393*t**5/15 + 2552*t**4 + 15488*t**3/3 + 709*t**2. Factor n(v).
4*(v - 88)**2*(v + 1)**2
Let x be (-12)/16*2*(-4 + 2). Let v be -1*4 + (-250)/(-20) - -4. Factor -5*q + v*q**4 + 0 + 35/2*q**2 - 5/2*q**5 - 45/2*q**x.
-5*q*(q - 2)*(q - 1)**3/2
Suppose 12*w - 382 = 170. Let z = -46 + w. Factor 0*a + 3*a**2 - 9/2*a**3 + 3/2*a**4 + z.
3*a**2*(a - 2)*(a - 1)/2
Let i(a) = 13*a**3 - 53*a**2 + 113*a - 64. Let u(d) = 6*d**3 - 26*d**2 + 56*d - 32. Let w = -275 - -284. Let c(j) = w*u(j) - 4*i(j). Factor c(q).
2*(q - 8)*(q - 2)*(q - 1)
Let l(a) = a**3 + a**2 - 31*a + 13. Let p be l(5). Let o(r) be the first derivative of -10*r**2 - r**4 - 7 - 16/3*r**3 - p*r. Determine z, given that o(z) = 0.
-2, -1
Let q be (-3)/(-18)*-3*0. Suppose 14*m = -q*m + 28. Factor 0 - 4/7*k**3 + 8/7*k - 4/7*k**m.
-4*k*(k - 1)*(k + 2)/7
Factor 59*k**2 + 974*k**2 - 139 + 1211*k + 424*k**2 + 6*k**3 + 381.
(k + 242)*(2*k + 1)*(3*k + 1)
Suppose 3*q + 6*w = 5*w - 64, w = q + 16. Let l be (-24)/q*(-5)/(-3). Determine m, given that -1/7*m**4 + 1/7*m**l + 0 - 1/7*m**3 + 1/7*m = 0.
-1, 0, 1
Suppose -4*r = 5*a + 76 - 80, 2*r = a - 12. Let y(p) be the second derivative of 37*p + 0 + 1/8*p**5 - 5/8*p**2 + 0*p**3 + 5/16*p**a. Factor y(u).
5*(u + 1)**2*(2*u - 1)/4
Factor -3*i**2 + 2/3*i**3 + 10/3*i + 0.
i*(i - 2)*(2*i - 5)/3
Let b(z) be the first derivative of -1/14*z**4 + 15/7*z**2 + 0*z - 62 + 4/21*z**3. Determine t so that b(t) = 0.
-3, 0, 5
Suppose 2*v + 3*x = -69 + 66, -x = -2*v + 9. Let -8/3*r**2 - 56/9*r + 2/9*r**v + 2/9*r**4 - 32/9 = 0. What is r?
-2, -1, 4
Let d = -60 - -62. Suppose 5*a = 5, -a - d*a = -5*h + 42. Factor 3*x**2 + 3*x**2 + 4*x**4 - x**4 - h*x**3.
3*x**2*(x - 2)*(x - 1)
Let b = -1/516 + 115/172. Let y(c) be the second derivative of 0 - 25*c - b*c**6 + 5*c**2 - 25/6*c**3 + c**5 + 5/42*c**7 + 5/6*c**4. Factor y(x).
5*(x - 2)*(x - 1)**3*(x + 1)
Suppose -103433 + 103345 = -44*l. Let u(x) be the first derivative of 7 + 1/3*x**l - 1/18*x**4 + 4/27*x**3 + 0*x. Determine c so that u(c) = 0.
-1, 0, 3
Let k(a) be the first derivative of a**5/110 + a**4/66 - a**3/33 - a**2/11 + 48*a - 91. Let q(w) be the first derivative of k(w). Factor q(m).
2*(m - 1)*(m + 1)**2/11
Let b be ((-17)/(1122/152))/(22/(-33)). Suppose 16/11*x**4 + 16/11*x**2 - 32/11 - 2/11*x**5 - b*x**3 + 40/11*x = 0. Calculate x.
-1, 1, 2, 4
Let s(h) be the first derivative of h**3/15 + 46*h**2/5 + 36*h + 1100. Determine o, given that s(o) = 0.
-90, -2
Let u(d) be the second derivative of -d**4/54 - 119*d**3/9 - 1412*d. Factor u(m).
-2*m*(m + 357)/9
Determine t, given that -881*t**2 + 22968*t + 1530*t**2 - 32970564 - 653*t**2 = 0.
2871
Let y(i) = 4*i**2 + 1457*i - 1457. Let h be y(1). Let -750/7*c + 450/7*c**2 + 0 + 6/7*c**h - 90/7*c**3 = 0. Calculate c.
0, 5
Let j(o) be the third derivative of o**8/84 + 18*o**7/35 - 29*o**6/30 - 9*o**5/5 + 14*o**4/3 + o**2 + 130. Suppose j(m) = 0. Calculate m.
-28, -1, 0, 1
Let m be (20 + 1)/(5/(-5)). Let i be (-70)/340*12/m. Determine b, given that i*b**2 + 2/17 - 4/17*b = 0.
1
Let h(s) be the second derivative of -s**6/50 - 9*s**5/20 - 33*s**4/10 - 58*s**3/5 - 108*s**2/5 - 490*s. Factor h(n).
-3*(n + 2)**3*(n + 9)/5
Suppose -5*b = -5*c + 5, 3*b + 38 = c + 39. Solve -2/5*x**3 - 18/5 - 6/5*x + 2*x**c = 0 for x.
-1, 3
Let v(h) be the second derivative of 3*h**5/10 - 51*h**4/4 + 25*h**3/2 + 317*h + 1. Find z, given that v(z) = 0.
0, 1/2, 25
Let r(c) be the second derivative of -2 - 22*c + 3/4*c**2 - 35/24*c**3 - 9/80*c**5 + 19/24*c**4. Factor r(b).
-(b - 3)*(b - 1)*(9*b - 2)/4
Let k(t) be the third derivative of t**5/180 + 13*t**4/18 + 235*t**3/18 + 2115*t**2. Factor k(i).
(i + 5)*(i + 47)/3
Solve 17*q**3 - 13*q**3 - 193 + 386 - 120*q**2 - 124*q - 193 = 0 for q.
-1, 0, 31
Let q(u) be the second derivative of -u**7/70 - u**6/24 + u**5/30 - 63*u**2/2 + 4*u + 15. Let c(s) be the first derivative of q(s). Let c(z) = 0. What is z?
-2, 0, 1/3
Let c(j) be the third derivative of j**7/70 + 3*j**6/10 - 59*j**5/20 + 39*j**4/4 - 16*j**3 + 440*j**2. Solve c(l) = 0.
-16, 1, 2
Suppose -3*q = -15, 2*q = -2*b - 443 + 457. Factor -12/13 - 2/13*o**b + 14/13*o.
-2*(o - 6)*(o - 1)/13
Factor -3/2*q**3 + 21 - 21*q**2 + 3/2*q.
-3*(q - 1)*(q + 1)*(q + 14)/2
Let y(c) be the second derivative of -28/13*c**2 + 107*c + 0 - 128/39*c**3 - 3/26*c**4. Factor y(s).
-2*(s + 14)*(9*s + 2)/13
Let j = -5303 - -5305. Let p(m) be the third derivative of -1/80*m**5 + 0*m + 6*m**j - 1/16*m**4 - 1/8*m**3 + 0. Factor p(f).
-3*(f + 1)**2/4
Let t(q) be the second derivative of -1/8*q**4 + 0*q**6 + 1/168*q**7 - 7/80*q**5 + 4*q - 7 + 0*q**3 + 0*q**2. What is r in t(r) = 0?
-2, -1, 0, 3
Let j(m) = 105*m**2 - 1514*m + 936. Let t(u) = -537*u**2 + 7569*u - 4680. Let z(d) = -21*j(d) - 4*t(d). Factor z(x).
-3*(x - 26)*(19*x - 12)
Find l such that 1576/9*l**3 + 800/9*l + 88/9 + 2162/9*l**2 + 14*l**4 = 0.
-11, -1, -2/7, -2/9
Let f(c) = -11*c**2 - 2086*c - 216302. Let b(w) = 100*w**2 + 18775*w + 1946715. Let m(z) = -6*b(z) - 55*f(z). Solve m(u) = 0 for u.
-208
Let c(b) = -3*b**4 + 15*b**3 - 6*b**2 - 16*b + 9. Let h be (-96)/(-72) + (-2)/6. Let o(w) = w**4 + w**3 + 1. Let i(y) = h*o(y) - c(y). Factor i(u).
2*(u - 2)**2*(u + 1)*(2*u - 1)
Let y be (5/(50/(-1310)))/(-11) - (5 + 3) - 3. Factor -2/11*t**2 + y*t + 28/11.
-2*(t - 7)*(t + 2)/11
Suppose 0 = 19*x - 15*x - 20. Suppose -h = x*d - 2*h - 5, d + 2*h - 12 = 0. Factor -4*p - 4 - 29*p**2 + 16*p**d + p**3 + 17*p**2 + 3*p**3.
4*(p - 1)*(p + 1)**2
Let x = 881363/3 - 293787. Find k such that x*k**2 - 14/3*k + 4 = 0.
1, 6
Let h be (-1)/(-2) + (-2)/(-12). Let f be ((-35)/9)/5*1506/(-251). Factor h*j**5 + 38/3*j**3 - 50/3*j**2 - f*j**4 - 8/3 + 32/3*j.
2*(j - 2)**2*(j - 1)**3/3
Factor -1/8*d**3 + 1221025/8 + 2211/8*d**2 - 1223235/8*d.
-(d - 1105)**2*(d - 1)/8
Suppose 13*z = -3*m + 14*z + 2, -2*z = 3*m + 4. Let h be m/(-1) + (11 - 11) + 4. Solve -4/7*y**3 + 8/7 + 12/7*y**2 - 4/7*y**h + 20/7*y = 0 for y.
-1, 2
Let n(y) = 95*y**3 - 591*y**2 + 1011*y - 222. Let u(l) = 475*l**3 - 2956*l**2 + 5051*l - 1108. Let f(d) = -14*n(d) + 3*u(d). Factor f(p).
(p - 3)**2*(95*p - 24)
Let c(x) = -x**3 - 12*x**2 + x + 17. Let j be c(-12). Suppose -3 = -5*q + 11*p - 7*p, j*q + p = 18. Factor 0 + 1/6*l - 1/6*l**q + 1/6*l**2 - 1/6*l**4.
-l*(l - 1)*(l + 1)**2/6
Let f(j) be the first derivative of 44/7*j**2 + 484/7*j + 4/21*j**3 + 26. Find m, given that f(m) = 0.
-11
Let t(r) be the second derivative of -1/40*r**5 - 1/12*r**4 - 1 - 1/12*r**3 + 0*r**2 + r. Factor t(g).
-g*(g + 1)**2/2
Let v = 368099 + -1840493/5. Factor v*m**2 - 34/5 + 32/5*m.
2*(m - 1)*(m + 17)/5
Let q(v) be the first derivative of v**3/15 - 11*v**2/10 - 372. Suppose q(l) = 0. What is l?
0, 11
Suppose -6*q + 32 + 16 = -4*d, -q + 3 = d. Let l(r) be the first derivative of 3/4*r**4 - 1/4*r**6 + 0*r**3 - 3/4*r**2 + q + 0*r**5 + 0*r. Factor l(c).
-3*c*(c - 1)**2*(c + 1)**2/2
Let n(a) be the second derivative of -a**4/72 + 251*a**3/18 - 63001*a**2/12 - 148*a + 4. Factor n(k).
-(k - 251)**2/6
Let j(a) be the second derivative of 0*a**2 - 4*a**3 - 12*a - 3 + 7/3*a**4 - 1/5*a**5. Find d, given that j(d) = 0.
0, 1, 6
Factor 0 + 0*r**4 - 1/9*r**5 - 1/9*r + 2/9*r**3 + 0*r**2.
-r*(r - 1)**2*(r + 1)**2/9
Suppose 5*w = 8*w + 26*w + w. Let d(m) be the third derivative of 0*m + 0*m**3 + w*m**4 + 2/45*m**5 - 2/45*m**6 + 1/105*m**7 - 3*m**2 + 0. Factor d(o).
2*o**2*(o - 2)*(3*o - 2)/3
Let q be 822/165 - (-1752)/(-365) - (-3 - (-166)/66). Suppose -2*w - 3*b - 3 = -7*w, 4*w - 3*b - 3 = 0. Factor 0*c + w + 0*c**2 + 0*c**3 - 2/9*c**5 - q*c**4.
-2*c**4*(c + 3)/9
Let l be -17*5/(-765) - (-1)/9. Let n(r) be the first derivative of 0*r + 2/9*r**5 + 1/27*r**6 + l*r**2 + 14/27*r**3 + 1/2*r**4 - 33. Factor n(t).
2*t*(t + 1)**3*(t + 2)/9
Let w be (-13 - -5)/(20/296). Let f = 119 + w. Factor -2/5 - 1/5*n**3 - f*n**2 + n + 1/5*n**4.
(n - 1)**3*(n + 2)/5
Let w be (72/(-240))/(190/(-8) + 23). Factor 12/5*y**2 + 14/5*y + w.
2*(y + 1)*(6*y + 1)/5
Let a = -294 + 182. Let u be (a/21)/((-14)/3). Suppose -u*t + 0 - 2/7*t**2 = 0. Calculate t.
-4,