 q(y) = b(y) + 10*d(y). Suppose q(x) = 0. What is x?
-4, -2
Let l(c) be the second derivative of -c**5/70 + c**4/21 + c**3/21 - 2*c**2/7 + 27*c. Find y such that l(y) = 0.
-1, 1, 2
Let g = -84 + 74. Let c be (-24)/(-9)*(-3)/g. Factor 0 + 0*j - c*j**4 + 6/5*j**3 - 2/5*j**2.
-2*j**2*(j - 1)*(2*j - 1)/5
Let n = 29 + -24. Let -1072*h**2 + 60*h**3 - h**5 + 13*h**4 + n*h**5 + 23*h**4 + 972*h**2 = 0. Calculate h.
-5, 0, 1
Suppose -164*v**3 + 121*v**3 - 120*v**2 + 1100*v**2 + 303*v**3 + 960*v + 5*v**4 = 0. Calculate v.
-48, -2, 0
Let a(x) = x**2 - 12*x - 1987. Let b be a(-39). Factor -5/6*d**b + 4/3 - 3*d.
-(d + 4)*(5*d - 2)/6
Let q(z) be the third derivative of -z**5/420 + 5*z**4/84 - 8*z**3/21 - 23*z**2. Factor q(b).
-(b - 8)*(b - 2)/7
Let d be 2/158*7820/(-357). Let u = 2/237 - d. Solve -4/7*r**4 + 0*r + 0 + 0*r**2 + 2/7*r**5 + u*r**3 = 0 for r.
0, 1
Let l(n) be the second derivative of -n**6/15 - 8*n**5/5 - 21*n**4/2 - 92*n**3/3 - 44*n**2 - n + 44. Factor l(o).
-2*(o + 1)*(o + 2)**2*(o + 11)
Let c(v) be the first derivative of -v + 18 - 1/6*v**3 + 3/4*v**2. Find m such that c(m) = 0.
1, 2
Let l be 8 - ((-12)/16 - 11/(-4)). Let f(y) = -14*y**2 + 146*y + 58. Let c(r) = -r**2 + r + 1. Let s(h) = l*c(h) + f(h). Determine q, given that s(q) = 0.
-2/5, 8
Let k be 6*1 + (-8)/(-4) + -2. Determine b, given that -52*b - k*b**3 + 7*b**3 + 52*b + 7*b**4 = 0.
-1/7, 0
Let x(y) = -27*y**2 - 12*y. Suppose -21*h - 285 = 72. Let i = -1 + 7. Let s(w) = -81*w**2 - 35*w. Let v(t) = h*x(t) + i*s(t). Factor v(j).
-3*j*(9*j + 2)
Let z(p) be the second derivative of 1/147*p**7 + 4/35*p**5 + 0 - 2/21*p**4 + 0*p**2 + 0*p**3 - 1/21*p**6 - p. Let z(h) = 0. Calculate h.
0, 1, 2
Let u(w) = 3*w - 4. Let a be u(1). Let r be (-6)/(-5) + a/4*0. Factor 2*x**2 - 4/5*x + 0 + r*x**3.
2*x*(x + 2)*(3*x - 1)/5
Let l(o) be the second derivative of o**10/4480 + o**9/6720 - o**8/1792 + o**7/3360 + o**4/12 - 15*o. Let s(j) be the third derivative of l(j). Factor s(f).
3*f**2*(f + 1)*(3*f - 1)**2/4
Suppose -6*r - 521 = -521. Let g(v) be the second derivative of 0*v**2 + 1/54*v**4 + r*v**3 + 0 + 5*v. Solve g(t) = 0.
0
Let v(g) = -9*g**2 - 106*g + 26. Let w be v(-12). Find q, given that -2/3 + 3*q + 11/3*q**w = 0.
-1, 2/11
Let a(w) be the third derivative of -w**6/180 - 49*w**5/90 - 4*w**4/3 - 26*w**2 - 1. Factor a(n).
-2*n*(n + 1)*(n + 48)/3
Let i = 132/203 - -10/609. Determine n, given that -2/3*n**2 + i*n**4 + 0*n + 0 + 0*n**3 = 0.
-1, 0, 1
Let k be 2/12 - (-408)/144. Let u(l) be the second derivative of -1/16*l**4 + 0 + 0*l**2 + 2*l + 1/8*l**k. What is d in u(d) = 0?
0, 1
Suppose -2*d - 1 = -5. Determine x, given that 6*x**3 - 6*x**2 - 3*x**2 + 9*x**4 - 8*x + d*x = 0.
-1, -2/3, 0, 1
Let p(o) be the first derivative of -o**6/3 - 9*o**5/10 + 7*o**4/4 + 6*o**3 + 2*o**2 - 259. Determine i so that p(i) = 0.
-2, -1/4, 0, 2
Let l = -11 + 15. Determine d, given that -68 - 14*d**5 + 4*d**l - 8*d**2 - 14*d + 72 + 0*d**2 + 28*d**3 = 0.
-1, 2/7, 1
Let z(m) be the third derivative of m**7/560 - 17*m**6/320 + 9*m**5/16 - 27*m**4/16 - 27*m**3/2 - 223*m**2. Let z(a) = 0. Calculate a.
-1, 6
Let v be (8/16)/((-9)/(-4)) - (-468)/810. Determine b so that -2/5*b**4 + 0*b + 0*b**3 + v*b**2 - 2/5 = 0.
-1, 1
Let p(s) be the third derivative of -5*s**8/1008 - 37*s**7/1890 - s**6/60 + 225*s**2. Factor p(t).
-t**3*(3*t + 2)*(5*t + 9)/9
Let y(m) = -m**2 + 7*m - 1. Let t(j) = 3 + 7*j + 3*j**2 - 18*j - 13*j. Let p = 7 - 12. Let q(g) = p*t(g) - 18*y(g). Factor q(i).
3*(i - 1)**2
Let h(n) = -n**2 - 5*n - 2. Suppose 0*i + 16 = -4*i. Let u be h(i). Factor l**3 + 2*l**3 - 6*l**3 + l + u*l.
-3*l*(l - 1)*(l + 1)
Let m(f) be the third derivative of -f**7/1260 - f**6/720 + 7*f**5/360 + 13*f**4/144 + f**3/6 + f**2 - 9. Factor m(i).
-(i - 3)*(i + 1)**2*(i + 2)/6
Let p(s) be the third derivative of -s**6/480 - 7*s**5/960 - s**4/192 - s**3/6 + 7*s**2. Let j(k) be the first derivative of p(k). Determine y so that j(y) = 0.
-1, -1/6
Let f(l) = 9*l**2 - 3. Let h(s) be the first derivative of -4 - s + 1/3*s**3 + 1/2*s**2. Let o(a) = f(a) - 6*h(a). Factor o(n).
3*(n - 1)**2
Let b(s) = -s**3 - 8*s**2 - 11*s + 8. Let t be b(-6). Factor -8*q**2 - 15*q - 5*q + 4*q**t - 24.
-4*(q + 2)*(q + 3)
Let i(q) = q**4 + 2*q**3 - q - 1. Let a(l) = -4*l**4 - 14*l**3 - 4*l**2 + 18*l + 2. Let k(f) = -a(f) - 2*i(f). Factor k(m).
2*m*(m - 1)*(m + 2)*(m + 4)
Let v be (3 - 1)/1*1. Suppose 0 = -p - 0 + v. What is o in -7 - 4*o**3 + 5*o**2 + 3*o**2 - p + 4*o + 1 = 0?
-1, 1, 2
Solve -9/2*g + 9/4*g**2 + 3/4*g**3 - 6 = 0.
-4, -1, 2
Let t(p) be the second derivative of 3*p + 1/30*p**5 + 0 + 1/189*p**7 - 1/54*p**4 + 0*p**2 + 0*p**3 - 1/45*p**6. Factor t(o).
2*o**2*(o - 1)**3/9
Let a = 1154 - 1150. Let i(t) be the second derivative of 0 + 1/2*t**3 - 1/8*t**a + 4*t + 0*t**2. Let i(c) = 0. What is c?
0, 2
Let p = 4153 + -4151. Factor 1/2*m + 0 + 7/4*m**p.
m*(7*m + 2)/4
Let s = -38 - -53. Let j be (-3)/s + 16/5. Factor -4/9*d**2 + 2/9*d + 2/9*d**j + 0.
2*d*(d - 1)**2/9
Suppose -4*v + 5*v - 2 = 0. Let l be (-1)/v*0 + 8. Find x, given that -2*x - 2*x**4 - 6*x**2 - 3*x**3 + l*x**3 - 11*x**3 = 0.
-1, 0
Let h(f) = f**3 - 8*f**2 + 8*f + 2. Let w be h(7). Let r = -6 + w. What is y in 2 - 2*y**5 - 2*y + y**3 - y**4 - 4*y**2 + 3*y**r + 3*y**4 = 0?
-1, 1
Let c(i) = 56*i**3 - 40*i**2 - 102*i - 48. Let l(w) = -w**3 + 2. Let r(o) = c(o) + 6*l(o). Let r(x) = 0. Calculate x.
-3/5, 2
Let k = 365 - 5474/15. Let x(r) be the second derivative of 0*r**4 - 2/9*r**3 + k*r**5 + 6*r + 1/3*r**2 - 1/45*r**6 + 0. Determine j, given that x(j) = 0.
-1, 1
Let j(z) be the third derivative of -z**7/210 - z**6/45 + z**5/30 + z**4/3 + 3*z**3 + 5*z**2. Let r(w) be the first derivative of j(w). Factor r(q).
-4*(q - 1)*(q + 1)*(q + 2)
Suppose -5*g = -d - 8, 0 = 2*g - 6*g - d + 10. Let p be (12/126)/((-4)/(-7)). Factor -1/6*k + p*k**g + 0.
k*(k - 1)/6
Factor 210*o + 14/3*o**3 - 64*o**2 + 196/3.
2*(o - 7)**2*(7*o + 2)/3
Let u(r) be the second derivative of -r**7/168 + r**6/24 + r**5/40 - 5*r**4/24 - r**3/24 + 5*r**2/8 - 101*r. Solve u(b) = 0.
-1, 1, 5
Let r(s) be the first derivative of -18*s**2 + 8/5*s**5 + 0*s + 13 + 11*s**4 + 16*s**3. Find g such that r(g) = 0.
-3, 0, 1/2
Let p be (6*35/540)/((-4)/(-18)). Factor p*v**4 + 0*v + 0 - 1/4*v**2 - 3/2*v**3.
v**2*(v - 1)*(7*v + 1)/4
Let m(v) be the second derivative of v**5/10 - 7*v**4/6 + 16*v**3/3 - 12*v**2 + 274*v. Factor m(q).
2*(q - 3)*(q - 2)**2
Let t = 19 - 17. Let -2*s + 2*s**2 - 5 - 4*s**2 + 3 + t*s**3 + 4 = 0. Calculate s.
-1, 1
Suppose 4*p = 13 - 5. Suppose -13 + 19 = p*b. Determine u, given that 49*u**4 - 46*u**4 - 3*u**2 + 6*u**2 + 6*u**b = 0.
-1, 0
Let b = -131 + 135. Let i(f) be the first derivative of -3/8*f**b - 5/2*f**3 - f**6 + 3/2*f + 3/4*f**2 + 4 + 12/5*f**5. Factor i(a).
-3*(a - 1)**3*(2*a + 1)**2/2
What is v in -496/7*v**3 + 6498/7 + 2834/7*v**2 - 7068/7*v + 32/7*v**4 = 0?
3, 19/4
Let u(c) be the second derivative of -c**5/20 + c**4/6 + c**3/6 - c**2 - 114*c. Factor u(p).
-(p - 2)*(p - 1)*(p + 1)
Solve 8 + 5*t - 11/4*t**2 + 1/4*t**3 = 0 for t.
-1, 4, 8
Let x(f) be the second derivative of 0 + 0*f**3 + 0*f**2 + 0*f**4 + 20*f - 1/20*f**6 + 1/28*f**7 + 0*f**5. Factor x(q).
3*q**4*(q - 1)/2
Let s(i) be the third derivative of -i**6/960 - 31*i**5/480 - 85*i**4/64 - 75*i**3/16 - 15*i**2 - 2. Factor s(f).
-(f + 1)*(f + 15)**2/8
Suppose -4*o + 6*c + 30 = 11*c, 3*o + 2*c - 12 = 0. Solve -3/4*k + o + 1/8*k**2 = 0 for k.
0, 6
Suppose -y - 3*y + 4 = 0. Suppose -y + 3 = k. Let 3*i**2 + 0*i**2 - i**3 + 4*i**3 - 6*i**k = 0. Calculate i.
0, 1
Let r(k) be the first derivative of -3*k**4/4 - 110*k**3 - 651*k**2/2 - 324*k + 668. Factor r(q).
-3*(q + 1)**2*(q + 108)
Suppose 2*a - 5*a = -4*y - 29, 0 = 2*a - y - 11. Determine g so that -44*g**2 - a + 2*g - 38*g**2 + 83*g**2 = 0.
-3, 1
Let m = 10225/7 + -1459. Find x, given that 12/7*x**3 - 3/7*x**4 - 3/7 - 18/7*x**2 + m*x = 0.
1
Let t(x) = -6*x**4 - 4*x**3 - 22*x**2 + 8*x + 12. Let p(f) = 2*f**4 + f**2 - f + 1. Let m(u) = -4*p(u) - t(u). Find c, given that m(c) = 0.
-2, -1, 1, 4
Let r(y) = y**3 - 15*y**2 - 5*y + 21. Let f be r(15). Let i be (-2)/4*(-21)/(-35)*f. Factor -21/5*c**5 + 0 - i*c**3 - 6/5*c - 69/5*c**4 - 39/5*c**2.
-3*c*(c + 1)**3*(7*c + 2)/5
Let x be 2*(-1)/2*(-515)/206. Determine z, given that 1/