6)/(-18)*(84 + 0). Suppose -3*s = -4*p + f, 2*p + 2*s - 5*s = 20. Suppose -2/3 + 4/3*z**3 + 0*z**2 + 2/3*z**p - 4/3*z = 0. What is z?
-1, 1
Let l be 2/4 - 3/12. Let m = -9296 + 9296. Factor -1/4*g**2 - l*g + m.
-g*(g + 1)/4
Let i be -5 - (-601)/60 - 5. Let w(v) be the third derivative of -3/2*v**3 + 0 - i*v**5 - v**2 + 0*v + 1/4*v**4. Suppose w(g) = 0. What is g?
3
Find d, given that 542/5*d + 364/5 - 6/5*d**2 = 0.
-2/3, 91
Let v be 10*((-15)/18)/((-6)/18). Let u be -5*(-5)/v*4. Factor 0 + 0*z - 1/4*z**u - 1/4*z**2 + 1/2*z**3.
-z**2*(z - 1)**2/4
Solve -6*i + 6*i**5 + 6*i - 6*i**4 - 33*i**4 + 18*i**3 = 0.
0, 1/2, 6
Let a(s) be the first derivative of 343*s**6/6 + 196*s**5 + 168*s**4 + 176*s**3/3 + 8*s**2 + 3. Let a(d) = 0. Calculate d.
-2, -2/7, 0
Let i = 1/3933 + 31453/43263. What is c in -8/11*c**3 + 8/11*c + 6/11*c**4 - 14/11*c**2 + i = 0?
-1, -2/3, 1, 2
Let k(m) be the second derivative of 0*m**3 + 4*m**6 - 40/21*m**7 + 0 - 16*m - 9/4*m**5 + 0*m**2 + 5/12*m**4. Find l, given that k(l) = 0.
0, 1/4, 1
Let v(i) be the second derivative of i**6/1020 - i**5/510 - i**4/102 - 5*i**2 - 8*i. Let b(h) be the first derivative of v(h). Suppose b(l) = 0. Calculate l.
-1, 0, 2
Let q(r) = -38*r**3 - 24*r**2 - 4*r. Let c(v) = -37*v**3 - 23*v**2 - 4*v. Let k be -1*(5 - 0)*8/10. Let m(p) = k*c(p) + 6*q(p). Factor m(l).
-4*l*(4*l + 1)*(5*l + 2)
Let j be (-7 - -10 - -9)*((-1)/(-9) - 0). Suppose 6*h + 4/3*h**2 - j - 6*h**3 = 0. Calculate h.
-1, 2/9, 1
Let l be -7 - (2/(-19) + (-3653)/494). Let 1/6*t**3 + l*t**2 + 1/3*t + 0 = 0. What is t?
-2, -1, 0
Let h(i) = -2*i**3 - 37*i**2 - 152*i - 72. Let r(n) = -4*n**3 - 73*n**2 - 302*n - 142. Let d(a) = -7*h(a) + 4*r(a). Factor d(g).
-(g + 8)**2*(2*g + 1)
Suppose -17*g + 84 = -3*g. Let h be (0 - -2)/((-2)/(-3)). Suppose 3*l**h - g*l + 4*l - 4*l + 3*l = 0. Calculate l.
-1, 0, 1
Let y(s) = -4*s**2 + s + 1. Let j(a) = 3*a**4 + 18*a**3 + 15*a**2 + 3*a + 3. Let n(i) = -j(i) + 3*y(i). Find p such that n(p) = 0.
-3, 0
Factor 14*u**2 - 64 - 48*u - 5*u**2 + 4*u**3 - 9*u**2.
4*(u - 4)*(u + 2)**2
Let w(c) = c**2 + c - 9. Let m be w(0). Let v be m/(-6) + (-6)/(-4). Factor -4*f**v + 3 + 0 - 4*f - 3 - 8*f**2.
-4*f*(f + 1)**2
Let q(n) be the third derivative of n**7/98 + 27*n**6/280 + 3*n**5/14 + n**4/7 + n**2 - 14*n. Determine w so that q(w) = 0.
-4, -1, -2/5, 0
Suppose 0 = 2*u + 3*g - 1, -3*u + 17*g - 18*g + 12 = 0. Let d be 4/(-4) + 2 + 1. Let 405/2*r + 45*r**3 + 1/2*r**u + 15/2*r**4 + 243/2 + 135*r**d = 0. What is r?
-3
Let k = -310985/6 - -51839. Factor -2*r**4 + k*r + 0 + 11/3*r**3 + 14*r**2 + 1/6*r**5.
r*(r - 7)**2*(r + 1)**2/6
Suppose -4*p + 6 = -p. Let d be (-64)/(-60) - p/5. Solve 2/3*y - 2/3*y**2 - 2/3*y**3 + d = 0 for y.
-1, 1
Let w(l) be the second derivative of -l**4/12 + 49*l**3/6 - 24*l**2 - 63*l - 3. Factor w(y).
-(y - 48)*(y - 1)
Let z be ((-330)/924 - ((-3)/2)/(-3)) + 2. Determine w, given that 4/7*w**3 + 0 + z*w + 12/7*w**2 = 0.
-2, -1, 0
Factor -3/4*p**4 + 9/4 + 9/2*p**2 + 0*p**3 - 6*p.
-3*(p - 1)**3*(p + 3)/4
Let z = -6348 - -6351. Determine n, given that -12*n - 4/7*n**z + 72/7 + 32/7*n**2 = 0.
2, 3
Let o(p) = -11*p**2 + 56*p + 84. Let t(z) = -9*z**2 + 51*z + 84. Let r(a) = -3*o(a) + 4*t(a). Factor r(c).
-3*(c - 14)*(c + 2)
Let u(t) be the first derivative of t**5/15 + t**4/2 + 4*t**2 - 4. Let o(h) be the second derivative of u(h). Factor o(a).
4*a*(a + 3)
Factor -28/5*t + 4/5*t**2 + 8.
4*(t - 5)*(t - 2)/5
Let a(p) be the first derivative of -p**4/60 - p**3/30 + p**2/5 + 15*p - 10. Let o(h) be the first derivative of a(h). Suppose o(v) = 0. Calculate v.
-2, 1
Let s(d) be the third derivative of 13*d**5/60 - 21*d**4/8 - 5*d**3/3 - 295*d**2. Solve s(i) = 0.
-2/13, 5
Let z = -116 + 116. Let t(l) be the first derivative of 0*l**4 - 4/3*l**3 + 2/5*l**5 + 5 + z*l**2 + 2*l. Factor t(r).
2*(r - 1)**2*(r + 1)**2
Suppose -p - 3 = -16. Factor -25 - 12*f**3 - 6*f**4 - 46*f**2 - p*f**4 + 18*f**4 - 60*f.
-(f + 1)**2*(f + 5)**2
Let -122/7 + 3/7*c**2 - 181/7*c = 0. What is c?
-2/3, 61
Determine b, given that -204*b**4 + 414*b**4 - 208*b**4 - 2*b**5 = 0.
0, 1
Solve 285*a**4 + 3203*a**3 + 13*a - 3768*a**3 + 45*a**5 - 14*a - 39*a + 275*a**2 = 0.
-8, 0, 1/3, 1
Let o = 157 - 157. Let p(i) be the first derivative of 4 + o*i - 2/3*i**3 + 3*i**2. Factor p(r).
-2*r*(r - 3)
Let x = 40 - 40. Let f = 39 + -115/3. Solve 2/9*r - 8/9*r**3 + x - f*r**2 = 0.
-1, 0, 1/4
Let m(l) be the first derivative of -l**6/540 - l**5/45 - l**4/9 + 10*l**3/3 - 2. Let y(d) be the third derivative of m(d). Determine j, given that y(j) = 0.
-2
Determine s so that -1278*s - 8754*s - 31*s**4 - 2280*s**3 - 1936 - 13876*s**2 - 69*s**4 = 0.
-11, -2/5
Suppose -3*q - 4 = -4*x + 12, q = -4. Let z be (-80)/25 - (x - 5). Determine d so that 1/5*d**4 + 1/5 - 4/5*d + 6/5*d**2 - z*d**3 = 0.
1
Let t be (-9 - -11)*(9/(-2))/(-1). Find l such that 2*l + 2*l**2 - 5*l + 36 - l**2 - t*l = 0.
6
Let k = -302 - -293. Let a be (-616)/192 + 6/k - -4. Factor 3/8*y**2 + 1/8*y - a*y**3 - 1/8*y**4 - 1/4.
-(y - 1)**2*(y + 1)*(y + 2)/8
Let g(v) be the second derivative of 1/54*v**4 + 0*v**2 + 1/27*v**3 + 0 - 4*v. Factor g(b).
2*b*(b + 1)/9
Factor 5/3*u**4 + 38720/3 + 5280*u + 740/3*u**2 - 60*u**3.
5*(u - 22)**2*(u + 4)**2/3
Let d be -8 - -5 - 921/(-5). Let s = 182 - d. Find k such that 0 + 2/5*k**2 - s*k = 0.
0, 2
Let t = -17 + 41. Let d = t - 3. Factor 119*u**2 - 2 - 2*u + 10 - d*u**2 + 58*u.
2*(7*u + 2)**2
Let s(i) be the third derivative of i**6/540 + 7*i**5/270 + 5*i**4/36 + i**3/3 + 118*i**2. Factor s(v).
2*(v + 1)*(v + 3)**2/9
Let b(t) be the first derivative of 2*t**5/75 - 3*t**4/10 + 2*t**3/5 + 17*t**2/3 - 20*t - 346. Let b(i) = 0. What is i?
-3, 2, 5
Let f = 3020 - 6039/2. Suppose -1/6*i - 1/2*i**2 + 0 - f*i**3 - 1/6*i**4 = 0. What is i?
-1, 0
Suppose o - 17 = 2*q, 2*q + 2*q - o + 29 = 0. Let x = -11/2 - q. Suppose 1/4*c**2 - 3/4 - x*c = 0. Calculate c.
-1, 3
Let c(a) be the first derivative of 3*a**6/2 + 6*a**5/5 + a**4/4 - 36. Find x, given that c(x) = 0.
-1/3, 0
Let m(j) = -5*j**2 - 12*j + 3. Let a be m(-7). Let w be 4/(-22) - a/22. Factor 3*p**4 + 24/7*p**3 + 4/7*p**2 + 0 + 0*p - w*p**5.
-p**2*(p - 1)*(7*p + 2)**2/7
Let y be (-1386)/(-3465) - (1 - 37/45). Factor -22/9*l**2 + 70/9*l + y*l**3 - 50/9.
2*(l - 5)**2*(l - 1)/9
Let o(f) be the second derivative of 6*f - 171/20*f**5 + 0 - 3*f**3 - 35/4*f**4 + 0*f**2 - 14/5*f**6. Find z, given that o(z) = 0.
-1, -3/4, -2/7, 0
Let y(k) be the third derivative of k**5/180 - 11*k**4/36 + 7*k**3/6 + 10*k**2 - k. Suppose y(o) = 0. What is o?
1, 21
Let f(k) be the second derivative of 128*k**7/63 + 32*k**6/3 - 484*k**5/15 - 443*k**4/9 - 26*k**3 - 20*k**2/3 + 76*k. Find i such that f(i) = 0.
-5, -1/4, 2
Let i = -3163 + 3165. Solve 1/3*v**3 - v**i + v - 1/3 = 0 for v.
1
Find d, given that -20*d - 7*d + 0*d**5 + 34*d**2 - d**5 - 24*d**3 + 4*d + 6 + 8*d**4 + 0 = 0.
1, 2, 3
Suppose -2*h = l - 7, 8*h - 3*h + l = 22. Factor 0 + 3/5*u**3 + 2/5*u - 1/5*u**h - u**2 + 1/5*u**4.
-u*(u - 1)**3*(u + 2)/5
Let f(b) be the third derivative of b**5/40 + 7*b**4/18 + b**3/3 - 24*b**2 - 5*b. Suppose f(a) = 0. What is a?
-6, -2/9
Let y = 12483 - 37439/3. Factor -2*k**2 - y + 6*k - 2/3*k**3.
-2*(k - 1)**2*(k + 5)/3
Suppose -4*j - 3*x = -2*x + 5, -4*x = 20. Let t(o) be the first derivative of 5 + 1/15*o**5 - 1/9*o**3 - 1/12*o**4 + 1/6*o**2 + j*o. Factor t(d).
d*(d - 1)**2*(d + 1)/3
Let h be 2/((-7)/(-28) - 6/(-8)). What is f in -128 - 188*f + 156*f + 0*f**h - 2*f**2 = 0?
-8
Let v(m) be the first derivative of 2*m**5/55 + m**4/2 + 12*m**3/11 - 35. Factor v(n).
2*n**2*(n + 2)*(n + 9)/11
Let f(r) be the second derivative of -r**8/5040 + r**7/2520 + 17*r**3/6 - 39*r. Let w(t) be the second derivative of f(t). Solve w(d) = 0 for d.
0, 1
Let d(q) = -q**2 + 168*q - 6990. Let p be d(76). Solve 0 + 0*g**4 + 0*g**p - 2/3*g**5 - 2/3*g + 4/3*g**3 = 0 for g.
-1, 0, 1
Let t(b) be the second derivative of 7*b**4/4 - 18*b**3 + 486*b**2/7 + 142*b. Solve t(o) = 0 for o.
18/7
Let t(s) = 3*s**3 - 2*s + s**3 + 3*s**2 + s. Let d(x) = -x + 15*x**2 + 28*x**2 - 43*x**2 + x**3. Let g(h) = 3*d(h) - t(h). Let g(a) = 0. What is a?
-2, -1, 0
Let p(y) be the second derivative of y**5/60 - y**4/18 - y**3/6 - 2*y - 250. Solve p(i) = 0.
-1, 0, 3
Let z be (1 + 2)*1*1/(-3). Let b be 0/z*-3*(-2)/(-