 0 = 0. What is p?
-1, 0
Let o be ((-3)/(-18))/1 - (-1070)/12. Let j = o - 89. Factor -1/3*v + 0 + j*v**2.
v*(v - 1)/3
Let r be (-15)/(405/(-5676)) - 2/9. Let m be 196/r - (-3)/(-5). Factor 1/3*t**4 + 0 - 1/3*t**2 + m*t**5 - t**3 + 2/3*t.
t*(t - 1)**2*(t + 1)*(t + 2)/3
Let l(h) be the first derivative of -h**5/5 - h**4/2 + h**3 + 4*h**2 + 4*h - 96. Factor l(k).
-(k - 2)*(k + 1)**2*(k + 2)
Suppose -4*d - 12 = -d. Let r = 0 - d. Factor -2*z**r + 0*z**5 + 0*z**2 + 2*z**3 - 2*z**5 + 2*z**2.
-2*z**2*(z - 1)*(z + 1)**2
Let j = 70 + -67. Suppose 0 = -6*h + j*h. Let 0*x**3 + 0*x + h + 2/13*x**5 + 8/13*x**2 - 6/13*x**4 = 0. Calculate x.
-1, 0, 2
Suppose 2*l = -f - f + 8, 23 = 4*l - 3*f. Let x(j) be the first derivative of l + 3/20*j**5 - 3/16*j**4 + 0*j**3 + 0*j + 0*j**2. Let x(k) = 0. What is k?
0, 1
Suppose 4*p + 0*p = 0. Let g be (-55)/22*12/(-50). Suppose 0 + 3/5*m + 6/5*m**4 - g*m**5 - 6/5*m**2 + p*m**3 = 0. Calculate m.
-1, 0, 1
Suppose 2*a - 17 = 13. Find q such that 5*q**3 - 15*q**4 + 13*q**4 + a*q**5 - 5*q**2 + 27*q**4 = 0.
-1, 0, 1/3
Let m(a) be the first derivative of -5*a**6/24 - 11*a**5/12 - 5*a**4/12 - 11*a**2 + 19. Let t(r) be the second derivative of m(r). Factor t(g).
-5*g*(g + 2)*(5*g + 1)
Let i be (6 - 1)*(1 - 6 - -4). Let h be 1/(i/10) + (-12)/(-5). What is t in 1/5*t**3 + h - 3/5*t + 0*t**2 = 0?
-2, 1
Let c be 1/4 + (-15)/(-4). Suppose 35*x = 105 - 35. Factor -4*d**c - 17 - 20 + x*d**5 + 2*d**3 + 37.
2*d**3*(d - 1)**2
Let z(r) be the first derivative of 0*r + 1/12*r**4 - 2/9*r**3 + 1/6*r**2 - 3. Solve z(c) = 0 for c.
0, 1
Let l be (5 + 76/(-32)*2)*6. Find u, given that l*u**2 - 9/2 - 3*u = 0.
-1, 3
Let s(q) be the first derivative of q**3/3 + 93*q**2 + 8649*q + 299. Factor s(a).
(a + 93)**2
Let c = 2307/7 - 329. Let b be (-38)/(-84) + (-1)/6. Let 2/7*k - b*k**2 + c = 0. What is k?
-1, 2
Suppose -14 = -5*h - 104. Let y = h - -56/3. Factor -y + 4/3*d**2 + 0*d**3 + 0*d - 2/3*d**4.
-2*(d - 1)**2*(d + 1)**2/3
Let h(i) be the second derivative of 0*i**2 - 9/4*i**5 + 2*i**4 - 2 - 9/10*i**6 - 24*i + 8*i**3. Factor h(c).
-3*c*(c - 1)*(3*c + 4)**2
What is i in 8060*i**2 - 5*i**5 - 7969 + 190*i**4 - 4785 - 2330*i**3 - 553*i + 16608*i - 9216 = 0?
-2, 1, 13
Let a(s) = -4*s**3 - 47*s**2 - 140*s - 103. Let h(z) = -z**2 - 1. Let f = -1024 + 1027. Suppose 0 = x - 2*x - 1. Let g(b) = f*h(b) + x*a(b). Factor g(w).
4*(w + 1)*(w + 5)**2
Let w(h) be the third derivative of h**8/1344 + 3*h**7/280 - 2*h**6/15 + 11*h**5/30 + h**4/2 - 14*h**3/3 - 39*h**2 + 5*h. Factor w(r).
(r - 2)**3*(r + 1)*(r + 14)/4
Suppose -3/4*g + 3/4*g**3 + 3/2*g**2 - 3/2 = 0. Calculate g.
-2, -1, 1
Let s(x) be the first derivative of 0*x**2 + 0*x + 1/26*x**4 - 2/39*x**3 - 35. Suppose s(z) = 0. Calculate z.
0, 1
Let z(g) be the first derivative of 0*g**3 + 4/9*g + 1/18*g**4 - 1/3*g**2 + 3. Find d, given that z(d) = 0.
-2, 1
Let k(w) be the first derivative of w**7/1260 - w**6/540 + 8*w**3/3 + 1. Let l(t) be the third derivative of k(t). Factor l(h).
2*h**2*(h - 1)/3
Let f(v) be the third derivative of -v**5/30 + 17*v**4/12 - 10*v**2 + 6*v. Factor f(i).
-2*i*(i - 17)
Let g be 30/40*(-4)/(-6)*4. Find v such that -38*v - 5 + 1 + v**g - 5*v**2 + 21*v = 0.
-4, -1/4
Let i(m) = -2*m**3 + 16*m**2 - 6. Let p(c) = 4*c**3 - 33*c**2 + c + 8. Let s(t) = 5*i(t) + 2*p(t). Let s(u) = 0. Calculate u.
-1, 1, 7
Let y(j) be the third derivative of j**9/40320 + j**8/8064 - j**7/5040 - 2*j**5/5 + 26*j**2. Let t(p) be the third derivative of y(p). Solve t(a) = 0.
-2, 0, 1/3
Let f = -15602 - -15605. Let 0 - 1/7*l - 2/7*l**2 + 1/7*l**5 + 0*l**f + 2/7*l**4 = 0. Calculate l.
-1, 0, 1
Let d(y) be the third derivative of y**5/30 - 5*y**4/12 + 4*y**3/3 + 54*y**2. Find b such that d(b) = 0.
1, 4
Suppose 0 = 4*b - 3*u + 32, 4*b + 0*u + 12 = -2*u. Let a(n) = n**3 + 6*n**2 + 6*n + 7. Let v be a(b). Solve -3 + j**2 + 4*j**3 + 3 + 3*j**v = 0 for j.
-1, 0
Let o = -8014 - -8020. Let 6*f**3 - o*f**2 + 0*f + 2/9*f**5 + 0 - 2*f**4 = 0. Calculate f.
0, 3
Let z(h) be the second derivative of h**6/255 - h**5/34 + h**4/51 + 8*h**3/51 + 291*h. Factor z(p).
2*p*(p - 4)*(p - 2)*(p + 1)/17
Let h(g) be the second derivative of -1/12*g**3 - 20*g + 1/24*g**4 + 0 - 3/2*g**2. What is o in h(o) = 0?
-2, 3
Suppose 12*a - 14*a + 8 = 0. Solve 4*t**4 + 4 + 3*t**3 - a*t**2 - 4*t**5 - 2*t**2 - 4*t + 5*t**3 - 2*t**2 = 0 for t.
-1, 1
Let q(z) be the second derivative of 0*z**3 - 1/5*z**5 + 1/5*z**6 - 7*z + 0*z**2 - 1/21*z**7 + 0 + 0*z**4. Factor q(a).
-2*a**3*(a - 2)*(a - 1)
Suppose 0 = -3*l - 6, 16*v - 11*v + 3*l + 6 = 0. Let t(g) be the first derivative of 0*g + 0*g**2 + 1/3*g**3 - 5 - 1/5*g**5 + v*g**4. Factor t(s).
-s**2*(s - 1)*(s + 1)
Factor -28/9*h + 2/9*h**2 + 0.
2*h*(h - 14)/9
Let g be -13*(-8)/14 + 14 + -21. Let 0 - 3/7*d**4 + 0*d**2 + 0*d + g*d**5 - 6/7*d**3 = 0. Calculate d.
-1, 0, 2
Suppose 0 = -8*n + 6*n - 504. Let h be ((-30)/(-35))/((-2)/n). Solve -30*t**2 + 81 - 2*t**4 - h*t + 3*t**4 + 84*t**2 - 12*t**3 = 0.
3
Let q be (-12)/(-54) + (-209)/9. Let z = q + 27. Factor 4*d - z*d + 2*d**3 - 4 + 0*d**3 - 6*d.
2*(d - 2)*(d + 1)**2
Let k(r) be the third derivative of -r**10/604800 + r**8/80640 + 3*r**5/10 + 7*r**2. Let o(v) be the third derivative of k(v). Solve o(x) = 0.
-1, 0, 1
Let l = 1/296 + 581/3256. Let q = 726 + -726. Factor 2/11*u**2 - l + q*u.
2*(u - 1)*(u + 1)/11
Factor -20*p**3 - 5*p**3 - 75*p - 102*p**2 + 135 - 96*p**2 - 37*p**2.
-5*(p + 1)*(p + 9)*(5*p - 3)
Suppose -2 = -4*v + 2*v + 2*t, -v + 4*t = 5. Let -17 - 120*z**v - 50*z**2 - 28 - 25*z**4 - 46*z + 286*z = 0. What is z?
-3, 1/5, 1
Suppose -20*j - 19 - 1 = 0. Let a be 6 + 366/(-54) - j. Determine m so that 0 + a*m - 2/9*m**2 = 0.
0, 1
Suppose i = -5, -i = -5*c + i - 60. Let b be c/(-6) + (-2)/6. Solve -12*w - 3*w**2 - b - 7 + 0 = 0 for w.
-3, -1
Let y be 3 + (42/(-35) - 0). Factor 12/5*x + y + 3/5*x**2.
3*(x + 1)*(x + 3)/5
What is k in 355*k - 65*k + 13*k**2 + 19*k**2 - 27*k**2 + 4205 = 0?
-29
Suppose -r = -11 + 6. Factor 4 + b - r - 3*b + b + b**2 + b**3.
(b - 1)*(b + 1)**2
Let l = 45103/7 + -6443. Factor 2/7*i**4 - l*i - 2/7*i**2 + 2/7*i**3 + 0.
2*i*(i - 1)*(i + 1)**2/7
Suppose -6/5*x**4 - 3/5*x**5 - 6/5 + 6/5*x**3 + 12/5*x**2 - 3/5*x = 0. What is x?
-2, -1, 1
Let d be (5/2)/((-300)/(-240)). Factor -1/3*t**2 + 0 - d*t.
-t*(t + 6)/3
Suppose 0 = 3*n, -11 + 8 = -t + 4*n. Let v(y) be the first derivative of 3/2*y**2 - 1/2*y**t + 12 - 3/2*y. Factor v(r).
-3*(r - 1)**2/2
Let 2/3*h**4 + 266*h**2 - 80/3*h - 800/3 + 80/3*h**3 = 0. Calculate h.
-20, -1, 1
Let r(f) be the first derivative of -4/7*f + 32 - 121/21*f**3 - 22/7*f**2. Suppose r(d) = 0. Calculate d.
-2/11
Let x(g) = 21*g**2 + 516*g + 1278. Let r(s) = -3*s**2 - 74*s - 183. Let i(l) = 27*r(l) + 4*x(l). What is p in i(p) = 0?
-19, -3
Let d be -1 - (106/(-36))/((-304)/(-168)). Let a = d - -3/76. Factor -1/3*t - a + 1/3*t**2.
(t - 2)*(t + 1)/3
Suppose -8*a**2 - 4/19 + 54/19*a = 0. What is a?
2/19, 1/4
Let c(z) be the first derivative of z**7/3780 - z**6/540 + z**4/27 + 4*z**3 + 17. Let p(q) be the third derivative of c(q). Factor p(k).
2*(k - 2)**2*(k + 1)/9
Let u(y) be the first derivative of y**5/5 - 2*y**4/3 + 2*y**3/3 + 6*y + 2. Let p(j) be the first derivative of u(j). Let p(f) = 0. What is f?
0, 1
Let b(j) be the third derivative of 7*j**4/8 + 65*j**3/6 + 65*j**2. Let d be b(-3). Factor 1/4*p**5 + 4 + 9/4*p**4 + 12*p + 14*p**d + 8*p**3.
(p + 1)*(p + 2)**4/4
Let j = -14853 - -14857. Find t, given that 8/7*t**2 - j*t**3 + 0*t + 0 = 0.
0, 2/7
Suppose 0 - 3/4*x**2 + 0*x - 81/2*x**3 = 0. Calculate x.
-1/54, 0
Let z(s) be the first derivative of s**5/90 + s**4/6 + s**3 - 3*s**2/2 + 13. Let x(w) be the second derivative of z(w). Factor x(l).
2*(l + 3)**2/3
What is r in -5*r**3 - 126*r**2 - 120 + 169*r**2 - 175*r - 103*r**2 = 0?
-8, -3, -1
Let m = -16375 - -147971/9. Let s = -66 + m. Factor 0 + s*k**2 + 2/9*k.
2*k*(k + 1)/9
Let y(u) be the first derivative of u**4/10 + 104*u**3/5 + 8112*u**2/5 + 281216*u/5 - 6. Let y(m) = 0. Calculate m.
-52
Suppose -2*o + 33 = -3*o. Let w be 88/o*(-3)/2. Determine s so that -2*s - w*s**3 + 16*s**3 - 3*s**4 - 12*s**2 + 2*s = 0.
0, 2
Let k(b) = -b**2 - 8*b - 10. Let q be k(-6). Factor -2 - 13 - 17 - 2*n**q - 16*n.
-2*(n + 4)**2
Suppose u = -u - 3*k + 3, -1 = -k. Let f(m) be the first de