*x**4. What is o in q(o) = 0?
-1, 0
Let n = -810 - -834. Let f(h) be the first derivative of 0*h + n*h**3 + 1/2*h**6 - 18/5*h**5 - 5 + 3/4*h**4 + 24*h**2. Factor f(r).
3*r*(r - 4)**2*(r + 1)**2
Factor -18*y - 2/5*y**2 + 188/5.
-2*(y - 2)*(y + 47)/5
Suppose 3*d - 97 + 83 = -l, 2*l + 12 = 4*d. Let x(h) be the first derivative of 1/30*h**d + 7 + 2/45*h**3 - 2/15*h**2 + 0*h. Factor x(w).
2*w*(w - 1)*(w + 2)/15
Let u(w) = -2*w - 11. Let z be u(-11). Let q = z - 11. Solve -14/3*n**5 - 6*n**4 - 4/3*n**3 + 0*n**2 + q*n + 0 = 0 for n.
-1, -2/7, 0
Let p(l) be the second derivative of -l**5/60 + l**4/12 - l**3/6 - 18*l**2 + 5*l. Let o(f) be the first derivative of p(f). Determine y so that o(y) = 0.
1
Let v = 7 + -4. Suppose 18 = 4*d - 2*y, -2*y = 2*d + v*y + 21. Factor -3*w**d + 9*w**2 - 3*w**3 - 5 + 3*w - 1.
-3*(w - 2)*(w - 1)*(w + 1)
Factor -6 - 2/7*d**2 - 20/7*d.
-2*(d + 3)*(d + 7)/7
Let p(g) be the second derivative of g**7/112 + g**6/30 - g**5/32 - 3*g**4/16 + g**3/12 + g**2/2 + 2*g - 164. Let p(m) = 0. What is m?
-2, -2/3, 1
Let p(v) = -18 - 146*v**2 + 22*v + 143*v**2 + 3. Let c(i) = 50*i**2 - 375*i + 255. Let x(z) = 2*c(z) + 35*p(z). Let x(g) = 0. What is g?
1, 3
Let c(b) be the first derivative of 1/144*b**4 + 1/360*b**5 + 0*b - 4 + 1/2160*b**6 + 0*b**2 - 2*b**3. Let k(f) be the third derivative of c(f). Factor k(g).
(g + 1)**2/6
Factor 29*r - 4 + 47*r - 20 + 8*r**4 - 57*r**2 + 11*r**3 - 4*r**5 + 13*r**3 - 23*r**2.
-4*(r - 2)*(r - 1)**3*(r + 3)
Suppose 51 = 3*k + 30. Let y(a) be the second derivative of -2/45*a**6 + 6*a - 1/63*a**k + 0 + 0*a**5 + 1/9*a**4 + 0*a**2 + 1/9*a**3. Factor y(d).
-2*d*(d - 1)*(d + 1)**3/3
Determine h so that 1048*h**2 - h**5 - 96*h - 2084*h**2 + 3*h**4 + 1004*h**2 + 18*h**3 = 0.
-3, -2, 0, 4
Suppose -2*s = 5*g + 2, g - 1 = 5*s + 4. Suppose 0 = -4*k - g*k + 16. Find w such that -12*w**2 + 0*w + k + 4*w + 13*w**2 = 0.
-2
Let r(i) be the first derivative of 14 + 0*i + 3/10*i**2 - 1/40*i**4 + 1/30*i**3. Suppose r(q) = 0. Calculate q.
-2, 0, 3
Factor -112/13*x + 0 - 330/13*x**3 - 334/13*x**2 - 106/13*x**4 + 2/13*x**5.
2*x*(x - 56)*(x + 1)**3/13
Let b(k) be the first derivative of -47 + 72/5*k - 1/5*k**4 + 32/15*k**3 - 42/5*k**2. Factor b(g).
-4*(g - 3)**2*(g - 2)/5
Let g(o) = -7*o**2 + 6*o + 7. Let j(x) = -20*x**2 + 17*x + 20. Let u(s) = -17*g(s) + 6*j(s). Let i(q) = -2*q**2 + 5*q - 5. Let t(r) = -i(r) + u(r). Factor t(p).
(p - 3)*(p - 2)
Suppose 5*j = -4*p - 20, 0 = 4*p - 2*p + 4*j + 16. Factor -1/2*h - 1/4*h**4 + 1/2*h**3 + p*h**2 + 1/4.
-(h - 1)**3*(h + 1)/4
Factor -5138*r**2 - 4*r**5 + 5154*r**2 + r**4 - 13*r**4.
-4*r**2*(r - 1)*(r + 2)**2
Let j(v) be the third derivative of v**6/120 - v**5/6 + v**4 - 7*v**3/2 - 2*v**2 - 18*v. Let i be j(7). Factor 1/3*m**2 - 1/3*m + i.
m*(m - 1)/3
Let w(h) be the second derivative of -h**4/12 - 5*h**3/3 + 11*h**2/2 + 78*h. Solve w(n) = 0 for n.
-11, 1
Let b(c) be the second derivative of 6*c + 1/8*c**4 + 0*c**2 - c**3 + 0. Let b(f) = 0. Calculate f.
0, 4
Let q(f) be the first derivative of 1 + 1/15*f**3 - 1/30*f**4 - 4*f + 2/5*f**2. Let i(l) be the first derivative of q(l). Factor i(v).
-2*(v - 2)*(v + 1)/5
Let u(b) be the first derivative of 2*b**2 + 16 - 16*b - b**4 + 16/3*b**3. Determine l, given that u(l) = 0.
-1, 1, 4
Let x(g) be the second derivative of 0*g**3 + 0 + 2/5*g**2 + 1/100*g**5 + 4*g - 1/20*g**4. Let x(p) = 0. Calculate p.
-1, 2
Let f be (-2)/5 + (-7)/((-280)/16). Let q(h) be the first derivative of 1/3*h**3 + f*h**2 - 1 - h. Factor q(y).
(y - 1)*(y + 1)
Let d be 4 + 4/(-2) - -1. Suppose t**3 + 4*t - 2*t + t**2 - d*t + 0*t - t**4 = 0. Calculate t.
-1, 0, 1
Let j(v) be the second derivative of 0*v**4 + 0 + 1/15*v**6 - v**2 - 2/3*v**3 + 1/5*v**5 - v. Factor j(q).
2*(q - 1)*(q + 1)**3
Factor 110*r + 260*r**2 - 144*r**2 + 6 - 232*r.
2*(r - 1)*(58*r - 3)
Solve -48/7*o**2 + 0 + 48/7*o**4 - 4*o**5 + 44/7*o**3 - 16/7*o = 0 for o.
-1, -2/7, 0, 1, 2
Factor -3 - 5*d - 18*d**2 - d + 3 + 15*d**2.
-3*d*(d + 2)
Let g(m) be the third derivative of m**8/4032 - m**7/1008 - m**6/72 - 2*m**5/15 - 9*m**2. Let z(w) be the third derivative of g(w). Factor z(k).
5*(k - 2)*(k + 1)
Suppose 2*m - 17 = 5*a, a - 8 = -2*m + 3*a. Factor -2293*x - 11 + 4*x**2 - m + 2285*x.
4*(x - 3)*(x + 1)
Factor 16*a**2 - 20 + 25 + 44 - 56*a.
(4*a - 7)**2
Suppose 20/9*r**3 - 104/9 + 26/3*r**2 - 2/9*r**4 + 8/9*r = 0. Calculate r.
-2, 1, 13
Suppose 31 - 7 = 8*i. Let t be ((-12)/(-40))/((24/20)/i). Find o such that -3/4*o + t*o**2 + 0 = 0.
0, 1
Let l = -244 - -246. Let n(r) be the second derivative of -2*r + 0 + 0*r**3 + 0*r**l + 1/14*r**7 + 0*r**4 + 0*r**5 + 0*r**6. Factor n(w).
3*w**5
Let l be 120/(-16)*(-4)/6. Suppose 0*w + l*w = 20. Factor v**w + 0*v**4 + v**3 + 7*v - 7*v.
v**3*(v + 1)
Let i be (11/(-2) - -4) + 1715/(-42). Let b = 43 + i. Suppose b*p**2 + 2*p + 4/3 = 0. What is p?
-2, -1
Suppose 20 = -p + 5*p. Suppose -g - p*k = 6, 3*k - 5*k = 2*g - 4. Factor 1/7*q - 1/7*q**3 + 0 + 1/7*q**g - 1/7*q**2.
q*(q - 1)**2*(q + 1)/7
Suppose -4*l - 2*m = -694, -5*m - 156 + 523 = 2*l. Factor -169*d**2 + 6 + l*d**2 + 0*d + 8*d.
2*(d + 1)*(d + 3)
Suppose 10*n + 296*n**2 - 143*n**2 + 5 - 148*n**2 = 0. Calculate n.
-1
Let j = 20014 + -100068/5. Solve -216/5*x - j*x**3 - 36/5*x**2 - 432/5 = 0 for x.
-6
Factor 39 - 152*x + 44*x**2 + 100*x**2 - 36*x**3 + 13 - 4*x**4 - 4*x**3.
-4*(x - 1)**3*(x + 13)
Let b = -114 + 344/3. Let i = -675 + 677. Factor -50/3 - 20/3*f - b*f**i.
-2*(f + 5)**2/3
Let s be (-1*2/32)/((-9)/6). Let t(j) be the third derivative of 5*j**2 + 1/120*j**5 + 0*j**3 - s*j**4 + 0*j + 0. Factor t(q).
q*(q - 2)/2
Let r be 12/5 + (-14)/10 + 1. Let x be (1/3*(8 + 4))/r. Let -3/2*u**x + 0*u + 0 = 0. Calculate u.
0
Find y, given that -22/3*y**2 - 2/3*y**3 + 22/3 + 2/3*y = 0.
-11, -1, 1
Suppose 4*z + 245 = c, -6*z = -2*c - 3*z + 495. Let h = c + -246. Factor 0 - 6/5*s**2 + 2/5*s**4 + 4/5*s + 0*s**h.
2*s*(s - 1)**2*(s + 2)/5
Let y(x) = 3*x**2 - 3*x. Suppose -16 = -0*o - 3*o + 5*q, -q + 2 = 2*o. Let b be y(o). Determine c so that c + b - 3 + c - c**2 - 4 = 0.
1
Suppose -3*o + 3*j = -3, -5*j - 7 = 4*o - 20. Suppose 5*v - 31 = 4*a, -2 - 3 = -3*v - a. What is k in 4*k**3 + 0*k**v - 16 - 9*k**o + 36*k - 15*k**2 = 0?
1, 4
Let d(g) = 4*g**3 + 7*g**2 - 14*g + 3. Let r(k) = k**2 - 2*k + 1. Let w(b) = -d(b) + 3*r(b). Find i such that w(i) = 0.
-2, 0, 1
Let s(d) be the second derivative of 40*d + 1/12*d**3 + 1/96*d**4 + 0 - 5/16*d**2. Let s(t) = 0. Calculate t.
-5, 1
Let w(j) be the third derivative of 0 + 2/105*j**7 + 1/12*j**4 - 1/15*j**5 - 1/168*j**8 - 11*j**2 + 0*j + 0*j**6 + 0*j**3. Solve w(v) = 0 for v.
-1, 0, 1
Let n(a) be the third derivative of a**6/360 + 4*a**5/45 + 13*a**4/18 + 8*a**3/3 + a**2 + 160*a. Factor n(l).
(l + 2)**2*(l + 12)/3
Factor -5*j**4 - 12*j**5 + 9*j**5 + 11*j**3 + 15*j**2 + 14*j**4 + 16*j**3.
-3*j**2*(j - 5)*(j + 1)**2
Suppose -5*v = -3*f - 369 + 374, -2*f + 4*v + 4 = 0. Factor -1/5*z**2 + 1/10*z**3 + f + 1/10*z.
z*(z - 1)**2/10
Let d(z) be the first derivative of z**4 - 52*z**3/3 + 64*z**2 - 80*z + 133. Factor d(y).
4*(y - 10)*(y - 2)*(y - 1)
Let o(a) = -5*a - 1. Let n be o(-1). Suppose -2*g + 10 = b - n*b, -2*b = 4. Suppose c**2 + c**2 + 3*c**g - c**2 + 4*c**3 = 0. Calculate c.
-1, 0
Let v(a) = 35*a + 3. Let m be v(0). Factor 1/5*x**2 + 1/5*x**m + 0*x + 0.
x**2*(x + 1)/5
Let o(y) be the second derivative of y**4/8 - 13*y**3/2 + 507*y**2/4 + y - 1. Factor o(w).
3*(w - 13)**2/2
Let f(j) be the third derivative of -j**5/60 + 7*j**4/4 - 147*j**3/2 - j**2 + 37. Suppose f(g) = 0. What is g?
21
Let y(m) be the third derivative of m**6/200 + m**5/50 + m**4/40 + 6*m**2 + 16. Find d, given that y(d) = 0.
-1, 0
Let u be 27/(-30) - (-2)/(40/30). Suppose -4*n + 0 = -5*z + 20, -12 = -3*z. Factor -u*a**2 + 0*a + n.
-3*a**2/5
Let b = -2/2305 + 2319/16135. Factor b*h**2 + 3/7 + 4/7*h.
(h + 1)*(h + 3)/7
Let s be 0*(0 - (-2 - -1)). Factor 45*q**5 - 2*q - q**2 + s*q**4 + q**4 + 3*q**3 - 46*q**5.
-q*(q - 2)*(q - 1)*(q + 1)**2
Let n be (2/6)/((-2)/(-18)). Suppose -160*v**3 - 288*v**2 - 128*v - n*v**4 - 31*v**4 + 64 + 6*v**4 = 0. Calculate v.
-2, 2/7
Let c = 46/637 - -4/49. Find l, given that c*l**3 + 8/13 + 0*l - 6/13*l**2 = 0.
-1, 2
Let j(q) = q**3 - 6*q**2 - 5*q - 11. Let n be j(7). Factor -15*r**4 + 2*r**n - 2*r**5 + 2*r**