e 2*m = 3*x + m - 22, -5*m - 6 = -2*x. Let b be 220/x*(-9)/(-15). Let -b*d - 3/2*d**3 - 9 - 9*d**2 = 0. What is d?
-3, -2, -1
Let c(t) = -t**2 - 5*t + 4. Let j be c(-7). Let i = j + 15. Solve 20*r**3 + 25*r**4 - 11*r - 20*r + 6*r - 10*r**2 - 10 + i*r**5 - 5*r**4 = 0.
-2, -1, 1
Let r(z) be the first derivative of 40*z**6 - 8*z**5 - 6025*z**4/4 + 335*z**3 + 625*z**2/2 - 125*z + 674. Solve r(u) = 0 for u.
-5, -1/3, 1/4, 5
Let b be 6/(-8) - (-1742)/2184. Let w(z) be the first derivative of -121/7*z - b*z**3 - 17 + 11/7*z**2. Find u such that w(u) = 0.
11
Let o(x) be the second derivative of -2/35*x**6 + 1/294*x**7 + 42*x - 1 - 9/7*x**4 + 27/14*x**3 + 27/70*x**5 + 0*x**2. Factor o(s).
s*(s - 3)**4/7
Let v(i) = -4*i - 2. Let k be v(-2). Suppose -8*n + 11*n - k = 0. Determine w so that 0*w**3 - 5*w**3 - 21*w**2 - 28*w**n + 9*w**2 - 80*w = 0.
-4, 0
Let r(m) be the second derivative of -m**7/6300 + m**6/1800 - 5*m**4/4 + 56*m. Let j(u) be the third derivative of r(u). Factor j(w).
-2*w*(w - 1)/5
Factor -48*b + 315/4*b**2 + 7 + 49/4*b**3.
(b + 7)*(7*b - 2)**2/4
Solve 80*o**3 - 1312/7*o**4 + 2104/7*o**2 - 792/7 - 20/7*o**5 - 540/7*o = 0.
-66, -1, -3/5, 1
Let w(r) be the third derivative of -r**5/30 - 323*r**4/6 - 104329*r**3/3 - 3*r**2 - 135. Factor w(v).
-2*(v + 323)**2
Let k = 5597 - 16786/3. Let f(p) be the second derivative of -25/7*p**2 - 11/42*p**4 + 0 - k*p**3 - 1/70*p**5 + 20*p. Factor f(r).
-2*(r + 1)*(r + 5)**2/7
Let i(o) be the first derivative of -1/3*o**3 - 1/20*o**5 + 0*o**2 + 0*o - 1/180*o**6 + 0*o**4 + 2. Let y(c) be the third derivative of i(c). Factor y(p).
-2*p*(p + 3)
Factor -18*w + 3/5*w**2 + 168/5.
3*(w - 28)*(w - 2)/5
Let x(i) = -3*i**2 + i. Let j(z) = 48*z**2 - 1947*z + 1929. Let v(d) = -j(d) - 15*x(d). Let v(o) = 0. What is o?
1, 643
Suppose -2*c + 2*h + 1 = h, 2*h = -c - 2. Let o(x) be the second derivative of c + 1/6*x**3 + x**2 - 1/12*x**4 + 20*x. Find z, given that o(z) = 0.
-1, 2
Let d = 102 - 98. Suppose m - 4*m = -6. Suppose -m*v + d + 10*v + 0 + 4*v**2 = 0. Calculate v.
-1
Let f be (72/20)/(-18)*(0 + (6 - 7)). What is o in 0*o**2 + 2/5*o**3 - 2/5*o + 1/5 - f*o**4 = 0?
-1, 1
Suppose 0 = p - 5*o - 69, -2*p + p - o = -39. Let 287*s**2 - p*s - 282*s**2 - 16*s = 0. What is s?
0, 12
Suppose -4*s - 26 = -2*c, -19*c + 21*c + s = 6. Let k(l) be the second derivative of 0 - 3/14*l**3 + 3/140*l**c + 3/7*l**2 + 10*l + 0*l**4. Factor k(v).
3*(v - 1)**2*(v + 2)/7
Let y(n) be the second derivative of -6*n + 1/180*n**5 + 0*n**4 + 7/6*n**3 + 0 + 0*n**2 - 1/1080*n**6. Let l(t) be the second derivative of y(t). Factor l(c).
-c*(c - 2)/3
Factor -88640/11*b - 38400/11 + 2234/11*b**2 - 14/11*b**3.
-2*(b - 80)**2*(7*b + 3)/11
Let o(h) = 15*h**3 - 415*h**2 + 858*h - 4. Let s(i) = -18*i**3 + 410*i**2 - 858*i + 5. Let d(q) = 5*o(q) + 4*s(q). Find z such that d(z) = 0.
0, 2, 143
Let j(c) be the second derivative of -5*c**7/14 + 3*c**6/5 + 3*c**5/5 - 3*c**4/2 + c**3/2 - 2653*c. Let j(u) = 0. Calculate u.
-1, 0, 1/5, 1
Let p(w) = 15*w**3 - 77*w**2 - 432*w - 569. Let n(s) = 7*s**3 - 37*s**2 - 216*s - 285. Let m(y) = 7*n(y) - 3*p(y). Let m(u) = 0. What is u?
-3, -2, 12
Let i = 2972 + -2970. Let m(j) be the third derivative of 0*j + 0 - 1/15*j**6 - 1/10*j**5 + 3/4*j**4 - 2/3*j**3 - 8*j**i. Factor m(u).
-2*(u - 1)*(u + 2)*(4*u - 1)
Let u(j) be the third derivative of -j**5/630 - 221*j**4/252 + 76*j**3/3 - 11663*j**2. Factor u(m).
-2*(m - 7)*(m + 228)/21
Let n(h) = 16*h**3 - 149*h**2 + 295*h - 147. Let s(r) = 172*r**3 - 1640*r**2 + 3244*r - 1616. Let z(f) = -32*n(f) + 3*s(f). Find p such that z(p) = 0.
1, 36
Let n(g) = -28*g**3 + 636*g**2 + 1228*g - 273. Let d(h) = h**3 - 2*h**2 - h + 1. Let j(z) = -3*d(z) - n(z). Factor j(y).
5*(y - 27)*(y + 2)*(5*y - 1)
Factor 1542*l**2 + 229*l - 2*l**3 - 297992 + 47113*l - 343790*l.
-2*(l - 386)**2*(l + 1)
Let y be (6/(-4))/(-9*10/120). Factor -50*z + 52*z**3 + 46*z**3 + 45*z**y - 142*z**3 + 49*z**3.
5*z*(z - 1)*(z + 10)
Let w be (75/(-14))/(195/(-273)). Factor -6 + 9/2*a**3 + w*a**2 - 6*a.
3*(a - 1)*(a + 2)*(3*a + 2)/2
Let j = 4753 - 4737. Let s(h) be the first derivative of j*h**2 + 8*h + 10/3*h**3 - 20 - 7/2*h**4. Factor s(q).
-2*(q - 2)*(q + 1)*(7*q + 2)
Let p(n) = -3*n**2 - 5*n. Let v be (-6)/(-9)*(6 + -15). Let x(i) = -3*i**2 + 299*i - 298*i - 1 + 4*i**2. Let o(m) = v*x(m) - 3*p(m). Factor o(q).
3*(q + 1)*(q + 2)
Suppose 2*f + 1 = 3*b + 20, -5*b = 25. Solve -25 - 2*d - 13*d - 11 - f*d**2 - 7*d = 0 for d.
-9, -2
Let o(y) = y**2 - 293*y + 618. Let a(s) = -3*s**2 + 892*s - 1851. Let h(g) = 6*a(g) + 19*o(g). Factor h(v).
(v - 212)*(v - 3)
Let o(d) = -d**3 + 11*d**2 - 10*d + 3. Let t be o(10). Suppose -3*n + 4 = h - 0, t*n = h - 4. Factor -2*c**2 + 7*c**3 + 4*c**h - 3*c**3 - 4*c**5 - 2*c**2.
-4*c**2*(c - 1)**2*(c + 1)
Let u(z) be the third derivative of 1/180*z**6 + 0 + 1/1260*z**7 - 5*z - 1/12*z**3 + 1/180*z**5 + 3*z**2 - 1/36*z**4. Factor u(m).
(m - 1)*(m + 1)**2*(m + 3)/6
Let n = -633 + 625. Let g be (-1*(1 - n))/(5 + -8). Factor 2*q**2 + 0*q + 0 + 1/3*q**g - 1/3*q**4.
-q**2*(q - 3)*(q + 2)/3
Let k be (-12)/14 - (663/(-1768))/((-42)/(-180)). Factor 3/4*x**3 + 1/4*x**4 - 1/2 + 1/4*x**2 - k*x.
(x - 1)*(x + 1)**2*(x + 2)/4
Let q(w) be the second derivative of w**7/210 + w**6/15 + w**5/4 - w**4/3 - 8*w**3/3 - 35*w**2/2 + 32*w. Let x(p) be the first derivative of q(p). Factor x(l).
(l - 1)*(l + 1)*(l + 4)**2
Let f(q) = -1654*q - 23152. Let p be f(-14). Find y, given that -8*y**3 - 154/9*y**2 + 8*y + 18*y**p - 8/9 = 0.
-1, 2/9, 1
Determine t so that -648*t - 6*t**2 - 3*t**2 + 74*t**3 - 1296 - 2*t**4 + t**4 - 56*t**3 = 0.
-3, 12
Suppose 2*c**3 - 132*c**2 + 568*c - 560 + 126*c**2 - 75*c**2 - 67*c**2 = 0. What is c?
2, 70
Let n = -2614 - -2616. Let d(w) be the second derivative of 3/7*w**4 - 36/7*w**3 + 0 - 1/70*w**5 + 216/7*w**n + 14*w. Solve d(j) = 0.
6
Suppose -3*c = 3*j - 24, -5*j + 2*c - 3*c = -28. Let i be 3/12 - (-33)/12. Let -7*p**i + j*p**4 - p**4 + 2*p**3 - p**5 + 3*p**2 - p**2 = 0. Calculate p.
0, 1, 2
Let s(h) be the second derivative of -h**5/80 + 11*h**4/48 + 29*h**3/24 - 39*h**2/8 - 624*h. Find d such that s(d) = 0.
-3, 1, 13
Let l(k) = -7*k**3 - 2*k**2 - k + 2. Let m be l(1). Let s be (-92)/m - 9/(-6). Factor 3*r + 12*r**2 + s*r**3 + 3*r**3 + 2*r**3 + 12*r**4 + 3*r**5.
3*r*(r + 1)**4
Let n(a) be the first derivative of a**4/12 - 35*a**3/9 - 3*a**2/2 + 105*a - 4211. Let n(c) = 0. Calculate c.
-3, 3, 35
Let n be (-3)/(-6) - 1624/(-464). Let b(w) be the second derivative of 1/3*w**n - 13*w - 2*w**3 + 0 + 0*w**2. Find v, given that b(v) = 0.
0, 3
Suppose -s - 8 = -t, 81*t - 77*t + 5*s = -40. Let c(o) be the third derivative of t + 1/360*o**6 + 7/360*o**5 - 13*o**2 + 0*o + 0*o**3 + 1/48*o**4. Factor c(z).
z*(z + 3)*(2*z + 1)/6
Let p(d) be the first derivative of d**6/9 - 122*d**5/45 - 49*d**4/18 + 298*d**3/27 - 14*d**2/3 + 13739. Find f, given that p(f) = 0.
-2, 0, 1/3, 1, 21
Let u(j) be the second derivative of -j**7/189 - j**6/9 - 13*j**5/15 - 80*j**4/27 - 32*j**3/9 + 9*j - 33. Solve u(v) = 0.
-6, -4, -1, 0
Let m = -135 + 72. Let l = m - -67. Determine s so that -20 - 28*s**2 - 12*s + l + 26*s**2 = 0.
-4, -2
What is a in -1/3*a**4 + 146/3*a**2 + 6272/3 - 672*a + 3*a**3 = 0?
-14, 7, 8
Let q(k) be the second derivative of k**5/120 + 13*k**4/36 + 22*k**3/9 + 161*k - 7. Factor q(m).
m*(m + 4)*(m + 22)/6
Let g(h) be the second derivative of -1/70*h**5 - 5/21*h**3 - 9*h - 2/7*h**2 - 2/21*h**4 + 0. Determine b, given that g(b) = 0.
-2, -1
Let t(x) be the third derivative of -x**5/180 + 263*x**4/72 + 187*x**2. Suppose t(g) = 0. What is g?
0, 263
Let g(d) be the first derivative of -5*d**3/9 + 10445*d**2/3 - 21819605*d/3 - 992. Factor g(a).
-5*(a - 2089)**2/3
Let g = 4 - -1. Find r such that -52*r**3 - 72*r**3 + 5*r**4 - 8*r**5 + 3*r**g + 134*r**3 = 0.
-1, 0, 2
Factor 54/5 + 24/5*p + 2/5*p**2.
2*(p + 3)*(p + 9)/5
Let d(u) = -2*u**2 + u + 1. Let p(q) = -5*q**2 + 5. Suppose 14*y + 252 = 2*y. Let v = -27 - y. Let s(m) = v*d(m) + 3*p(m). Suppose s(f) = 0. Calculate f.
-3, 1
Let p(r) be the third derivative of 73/8*r**4 + 0*r + 1/20*r**5 + 0 - 37*r**3 - 36*r**2. Let p(a) = 0. Calculate a.
-74, 1
Suppose -81*r - 48*r = 0. Let b(p) be the third derivative of r + p**2 + 2/15*p**5 + 0*p**4 + 0*p + 1/6*p**6 + 2/35*p**7 + 0*p