 1/15*x**5 + 0*x**2 + 0. Suppose s(m) = 0. What is m?
-1, 0
Suppose -27 = 7*o - 41. Suppose 40 + 12*t + 5 - 20 + 5*t**o + 18*t = 0. Calculate t.
-5, -1
Let b(l) be the second derivative of 13*l + 7/3*l**4 - 11/30*l**5 - 8/3*l**2 - 4*l**3 - 4. Factor b(c).
-2*(c - 2)**2*(11*c + 2)/3
Let k(z) = -z**3 + 21*z**2 + 73*z - 22. Let t be k(24). Solve 8 - 24*b**2 - 4*b**3 + 10*b**3 - 5*b**3 + 16*b**t - 3*b + 2*b = 0.
-1, 1, 8
Let i(u) be the first derivative of -1/14*u**4 + 1/7*u**2 + 50 + 4/7*u - 2/7*u**3 + 2/35*u**5. Solve i(w) = 0 for w.
-1, 1, 2
Suppose -59 = -4*g - 35, -g + 114 = 27*t. Let 2/19*d + 8/19*d**2 + 0 + 12/19*d**3 + 2/19*d**5 + 8/19*d**t = 0. Calculate d.
-1, 0
Suppose 3*d + 379 = 1006. Let p be (-38)/d + ((-60)/(-88))/1. Factor -1/2*h + 0 + p*h**2.
h*(h - 1)/2
Let d = -65310 - -65312. Factor 0 + 4/7*i**3 + 6/7*i**d + 0*i.
2*i**2*(2*i + 3)/7
Let n be (26 + -1)/(-25)*1*-4. Let i(q) be the third derivative of -49/2*q**n + 0*q + 46*q**2 + 0 + 686/3*q**3 + 7/5*q**5 - 1/30*q**6. Factor i(a).
-4*(a - 7)**3
Let h(m) be the first derivative of 72*m**5/35 - 251*m**4/14 + 144*m**3/7 - 36*m**2/7 - 3062. Let h(t) = 0. Calculate t.
0, 2/9, 3/4, 6
Let o(m) be the third derivative of m**6/360 + 7*m**5/90 - 31*m**4/72 + 8*m**3/9 - 197*m**2. Factor o(h).
(h - 1)**2*(h + 16)/3
Let s(d) be the first derivative of 9*d**4 - 28*d**3 + 25*d**2/2 - 2*d + 1393. Factor s(j).
(j - 2)*(6*j - 1)**2
Let d be (-60)/(-900)*(3 - 4)/(-1). Let m(k) be the first derivative of -3/10*k**2 + 11 - d*k**3 + 0*k. Let m(o) = 0. What is o?
-3, 0
Let r(i) = -i**3 - 10*i**2 + 26*i - 3. Let x be r(-11). Let n be 1/(2/7 - 8/x). Determine g so that 729*g - 2*g**n + 5*g**3 + 1594 + 81*g**2 + 1353 - 760 = 0.
-9
Factor -338/9*q**2 - 35912/9 + 6968/9*q.
-2*(13*q - 134)**2/9
Let k(t) be the third derivative of 37*t**5/75 - t**4/24 - t**2 - 192*t. Factor k(i).
i*(148*i - 5)/5
Let c be (-917)/(-49) + -15 - 3. Let d(t) be the third derivative of -24/7*t**3 + 1/420*t**6 + 0*t + 19*t**2 + 0 - 1/15*t**5 + c*t**4. Factor d(o).
2*(o - 6)**2*(o - 2)/7
Let d(j) = -5*j - 8. Let t be d(-4). Find k such that -10*k**2 - 9 + 35*k - t + 0*k**3 + 3 - 5*k**3 - 2 = 0.
-4, 1
Let j(q) be the first derivative of 7/3*q**3 - 22 - 15/2*q**2 + 9*q - 1/4*q**4. Suppose j(m) = 0. Calculate m.
1, 3
Let u = 10298 - 10292. Let j(w) be the third derivative of 5/98*w**7 - 1/14*w**4 - 4/35*w**5 - 1/56*w**u - 23*w**2 + 0*w + 0*w**3 + 0. What is l in j(l) = 0?
-2/5, 0, 1
Let -2535/2*f**5 - 210*f - 6495/2*f**3 + 3432*f**4 + 1281*f**2 + 12 = 0. Calculate f.
2/13, 2/5, 1
Suppose -18*a = 507 + 478 - 1075. Factor 2*g**2 + 0*g + 1/8*g**a - 2 - 1/2*g**3 - 3/8*g**4.
(g - 2)**3*(g + 1)*(g + 2)/8
Let x(s) be the first derivative of -4*s**5/75 + s**4/20 + 5*s**2 - 9*s + 140. Let a(v) be the second derivative of x(v). Solve a(c) = 0 for c.
0, 3/8
Let m(s) = 6*s**4 + 65*s**3 - 171*s**2 - 543*s - 288. Let b(d) = -3*d**4 - 33*d**3 + 84*d**2 + 273*d + 144. Let i(w) = -5*b(w) - 3*m(w). Solve i(q) = 0.
-12, -1, 4
Suppose 12 = 5*u - 3*u. Suppose -4*x = -14 - u. Let 4*q**2 + 3*q - x*q**2 + 6 - 3 - q = 0. Calculate q.
-1, 3
Let k(d) be the third derivative of -d**7/735 + d**6/105 + 3*d**5/35 + 5*d**4/21 + d**3/3 + 3474*d**2. Determine r so that k(r) = 0.
-1, 7
Factor 515 + 3*j**2 + 831*j - 1309 - 880.
3*(j - 2)*(j + 279)
Suppose 4*i = 12*i + 8. Let w be (-3 - i) + (-20)/(-5). Factor -15 - 4*g - 6*g**w - 6 + 10*g**3 + 21.
2*g*(g - 1)*(5*g + 2)
Let w(z) be the second derivative of z**6/10 - 9*z**5/10 + 3*z**4 - 5*z**3 + 9*z**2/2 + 1010*z. Factor w(s).
3*(s - 3)*(s - 1)**3
Let b(s) = -18*s + 57. Let o be b(3). Solve 5*i**4 + 13*i**o - 103*i**3 - 16019 + 16159 - 360*i + 305*i**2 = 0.
1, 2, 14
Factor 2*m**2 + 1113 + 1357 - 11*m**2 + 6*m**2 - 2*m**2 - 1225*m.
-5*(m - 2)*(m + 247)
Let h be -2 - (3/15 - 3). Let l(q) = -q**3 - 6*q**2 + 7*q + 2. Let n be l(-7). Suppose -4*d**n - h*d**3 + 0 - 12/5*d + 4/5*d**4 = 0. What is d?
-1, 0, 3
Let d(s) = -10*s**3 + 8*s**2 + 16*s - 11. Let y(l) = -l**3 + l**2 + 1. Let t(w) = -5*d(w) + 45*y(w). Factor t(u).
5*(u - 2)**2*(u + 5)
Suppose 21*c + 41 + 45 = -21*c + 86. Factor c*s + 1/3 - 1/3*s**2.
-(s - 1)*(s + 1)/3
Let y be 0/(0 - (-2 - 24/(-6))). Let l be (2 + y)/(25 - 24). Find m such that 176/3*m + 184/3*m**l + 2/3*m**5 + 64/3 + 92/3*m**3 + 22/3*m**4 = 0.
-4, -2, -1
Let o(d) be the third derivative of d**7/210 + 69*d**6/40 + 41*d**5/4 + 613*d**4/24 + 34*d**3 + 52*d**2 + 13. Solve o(h) = 0.
-204, -1
Let k = 1177242 + -1177239. Find f, given that 58/17*f**2 + 0*f - 2/17*f**k + 0 = 0.
0, 29
Suppose -12 = -5*d + 2*d. Suppose -c + 1 = 2*p, d*c - 5*p - 53 = -10. Find t, given that 19*t**2 + 3*t - 7*t**3 - 4*t**2 - 18*t**3 + c*t = 0.
-2/5, 0, 1
Solve -44/17*j**4 - 704/17 - 1052/17*j**2 - 326/17*j**3 - 2/17*j**5 - 1472/17*j = 0 for j.
-11, -4, -2, -1
Let o = -1622/27 - -9487/135. Let 5*y + 2/5*y**3 + o*y**2 + 0 = 0. What is y?
-25, -1/2, 0
Suppose -15 - 21 = -9*j. Suppose 0 = j*o - 4*z + 2 - 30, 4*o = -4*z + 28. Factor 27*u + o*u**3 - 20 - 30*u**2 - 10*u - 2*u**3 + 28*u.
5*(u - 4)*(u - 1)**2
Let v(h) be the first derivative of h**6/3 + 8*h**5/5 - 19*h**4/2 + 28*h**3/3 - 611. Factor v(i).
2*i**2*(i - 2)*(i - 1)*(i + 7)
Suppose 130 = 4*o - 2*v, 2*o = -2*v + 94 - 20. Factor -o*c**4 + 56*c**4 - 21*c**4 + 11*c**3.
c**3*(c + 11)
Let v(y) = 2*y**2 - 10*y + 3418 + 24*y - 3344 - 3*y**2. Let u be v(-4). Let 20/9*p + 4/3 + 4/9*p**u - 4/9*p**3 = 0. What is p?
-1, 3
Let k = 375006 + -1875014/5. Factor -24/5*z**2 - k*z**3 - 2/5 + 3*z.
-(z + 2)*(4*z - 1)**2/5
Factor 11*x**2 - 4*x**2 - x**3 - 1 - 3*x**4 - 3 + 9*x**3 - 9*x**3 + x**5.
(x - 2)**2*(x - 1)*(x + 1)**2
Solve -34/9*g**3 + 34/9*g + 2/9*g**4 - 2/9*g**2 + 0 = 0 for g.
-1, 0, 1, 17
Let n(t) be the third derivative of -1/180*t**5 + 0*t - 11/72*t**4 + 0 + 2/3*t**3 + 84*t**2. Factor n(s).
-(s - 1)*(s + 12)/3
Let i(y) be the first derivative of -y**4/30 + 8*y**3/45 + 4*y**2 + 7782. What is n in i(n) = 0?
-6, 0, 10
Let h(b) = 12*b**3 - 87*b**2 + 189*b - 171. Let i(t) = 19*t**3 - 134*t**2 + 284*t - 256. Let p(v) = 8*h(v) - 5*i(v). Suppose p(g) = 0. What is g?
2, 22
Let r(a) = -7*a**3 - 317*a**2 - 118*a - 1256. Let u be r(-45). Factor 16/3*l + 1/3*l**5 + 40/3*l**2 + 10/3*l**u + 0 + 11*l**3.
l*(l + 1)**2*(l + 4)**2/3
Let u be (-44)/3 - -4*(-1)/3. Let p be u/(-33)*(-900)/(-24). Factor p - 40/11*z + 2/11*z**2.
2*(z - 10)**2/11
Let f(z) be the second derivative of z**6/135 - 3*z**5/5 - 1871*z**4/54 + 2600*z**3 + 1690000*z**2/9 + 11*z + 16. Factor f(q).
2*(q - 52)**2*(q + 25)**2/9
Let g = -150425 + 150428. Suppose -8/5*i**4 - 2/5*i**2 - 2*i**g + 0*i + 0 = 0. Calculate i.
-1, -1/4, 0
Let s(v) be the second derivative of -v**5/30 + 49*v**4/9 - 2668*v**3/9 + 4232*v**2 + 7*v - 47. Determine p so that s(p) = 0.
6, 46
Let g be 9 + -7 + 340/70 + -6. Factor 2/7*n**3 - g*n**2 - 18/7*n - 10/7.
2*(n - 5)*(n + 1)**2/7
Suppose 0 = 15*l + 19*l + 77656. Let j = l - -2286. Factor 18/5 - 2*r**j - 2/5*r**3 - 6/5*r.
-2*(r - 1)*(r + 3)**2/5
Find s such that 2*s**2 + 5/2*s**4 + 0*s + 1/2*s**5 + 0 + 4*s**3 = 0.
-2, -1, 0
Let u(m) be the second derivative of -12*m**2 - 6*m - 13/2*m**4 - 3/2*m**5 - 1 - 1/15*m**6 - 37/3*m**3. Suppose u(f) = 0. What is f?
-12, -1
Factor 16*k + 1355 - k**3 + 32*k**2 - 1307 - 16*k**2 - 19*k**2.
-(k - 4)*(k + 3)*(k + 4)
Let g be 2/10 + (-135069)/(-40930). Suppose 0*b + 3/2*b**5 + 0 - b**4 - g*b**3 - b**2 = 0. What is b?
-1, -1/3, 0, 2
Determine w so that -1/4*w**2 - 50 - 27/2*w = 0.
-50, -4
Let g(s) be the first derivative of s**3/3 + 35*s**2 + 600*s + 4447. Factor g(l).
(l + 10)*(l + 60)
Factor -5*v**2 + 103 - 2404*v + 744*v - 5038.
-5*(v + 3)*(v + 329)
Let q = 17 + 21. Suppose 34 + 42 = q*s. Factor 1/6 + 3*a + 27/2*a**s.
(9*a + 1)**2/6
Let k(z) be the second derivative of -5*z**7/42 + 9*z**6/2 - 159*z**5/4 + 665*z**4/12 - 5*z - 107. What is t in k(t) = 0?
0, 1, 7, 19
Let f(o) be the second derivative of -o**7/189 + 2*o**6/9 + 203*o**5/45 + 98*o**4/3 + 121*o**3 + 246*o**2 - 5627*o - 1. Determine a so that f(a) = 0.
-3, -2, 41
Let g(x) = x**4 - 147*x**3 + 3*x**2 + 159*x. Let r(l) = 2*l**4 - 444*l**3 + 9*l**2 + 477*l. Let t(j) = 11*g(j) - 4*r(j). Factor t(s).
3*s*(s - 1)*(s + 1)*(s + 53)
Let k(u) be the third derivative of -u**5/20 + 69*u**4/2 + 277*u**3/2 - u**2 + 522. Solve k(f) = 0.
-1, 