/231 - n**6/55 - n**5/55 + n**4/11 + n**3/33 - 3*n**2/11 + 39*n. Suppose d(b) = 0. What is b?
-1, 1, 3
Let b(w) be the second derivative of -w**4/42 + 3*w**3/7 - 2*w**2 - 29*w - 2. Find i such that b(i) = 0.
2, 7
Let r(i) = 26*i**3 + 703*i**2 + 24*i - 78. Let n be r(-27). Factor 5/4*o + o**2 + 0 - 1/4*o**n.
-o*(o - 5)*(o + 1)/4
Let w(m) be the second derivative of m**5/40 + 25*m**4/24 + 28*m**3/3 - 147*m**2 - 123*m + 1. Let w(c) = 0. What is c?
-14, 3
Let r(k) be the second derivative of -5*k**4/12 + 5*k**3/6 + 15*k**2 + 2*k + 57. Determine x, given that r(x) = 0.
-2, 3
Let d(u) = -7*u**3 - 2*u**2 + 2*u + 7. Let g(w) = -3*w - 3*w**2 + 0*w**3 + 6*w + 11 - 11*w**3. Let v(p) = 8*d(p) - 5*g(p). Factor v(h).
-(h - 1)*(h + 1)**2
Let t = 38 - 36. Solve 42*f**2 + 21*f**2 + 4*f**5 - 9*f**4 + f**t - 64*f - 7*f**4 = 0 for f.
-2, 0, 2
Let c(n) be the first derivative of 2*n**6/3 + 42*n**5/5 + 36*n**4 + 54*n**3 + 74. Solve c(t) = 0 for t.
-9/2, -3, 0
Let l = -617/3 - -206. Let d(c) be the first derivative of -1/12*c**4 + 1/9*c**3 - 1 + 0*c + l*c**2. Factor d(r).
-r*(r - 2)*(r + 1)/3
Let o = 2429 + -21859/9. Solve 2/9*y**2 + 0 + o*y**3 - 4/9*y = 0 for y.
-2, 0, 1
Let c(o) be the first derivative of 2/3*o**3 - 10 + 4*o**2 + 6*o. Factor c(w).
2*(w + 1)*(w + 3)
Suppose -87 + 23 - 25*c**2 - 35*c**2 - 65 - 5*c**3 - 11 - 195*c = 0. Calculate c.
-7, -4, -1
Suppose 32*b - 58*b + 29*b = 0. Let x(h) be the third derivative of 0*h**4 - 1/180*h**6 + h**2 + b*h**3 + 0*h + 1/180*h**5 + 0. Factor x(f).
-f**2*(2*f - 1)/3
Determine l, given that -32/5*l - 56/5*l**2 + 0 - 28/5*l**3 - 4/5*l**4 = 0.
-4, -2, -1, 0
Let u(q) be the third derivative of 1/180*q**6 + 1/45*q**5 + 0 + 0*q**3 - 17*q**2 + 0*q + 0*q**4 - 1/315*q**7. Factor u(z).
-2*z**2*(z - 2)*(z + 1)/3
Determine a, given that -3 + a**3 + 8*a**4 - 11*a**4 - 4*a**3 + 3 = 0.
-1, 0
Let u(j) be the third derivative of -2/35*j**5 + 1/1176*j**8 + 0*j**3 - 11/420*j**6 + 18*j**2 + 0 + 2/735*j**7 + 0*j + 3/7*j**4. Factor u(i).
2*i*(i - 2)**2*(i + 3)**2/7
Find d such that 15 + 27/4*d + 3/4*d**2 = 0.
-5, -4
Let f(j) be the second derivative of -j**7/1260 - j**6/120 + j**5/15 - 5*j**4/2 - 17*j. Let y(a) be the third derivative of f(a). Factor y(n).
-2*(n - 1)*(n + 4)
Let x(o) be the first derivative of o**7/42 + o**6/30 - o**5/10 - o**4/6 + o**3/6 + o**2/2 - 7*o + 8. Let v(y) be the first derivative of x(y). Factor v(j).
(j - 1)**2*(j + 1)**3
Let a(z) be the second derivative of z**5/20 + 2*z**4/3 + 8*z**3/3 - 15*z. Determine n so that a(n) = 0.
-4, 0
Let p = 18 + -20. Let b be 9 - (2 - 3) - p. Factor -4*j**2 - 6*j**2 - 4*j + b*j**2.
2*j*(j - 2)
Let n(l) = l**2 + 12*l - 8. Let f be n(-13). Suppose 0 = -r - 3*r - f*v, 4*v = 5*r. Factor -4/3*k + 4/3*k**3 + r - 2/3*k**4 + 2/3*k**2.
-2*k*(k - 2)*(k - 1)*(k + 1)/3
Factor -4096 - d**3 - 40*d**2 - 292*d - 425*d - 8*d**2 - 51*d.
-(d + 16)**3
Let s(t) = -7 + 3 + t**2 + 21 + 9*t. Let z be s(-7). Determine g so that 3/2*g**z - 9/2*g**2 + 9/2*g - 3/2 = 0.
1
Let g be -6 - (-6 + -1 - 7). Let s(y) be the first derivative of 6 - 1/3*y**6 + 14/5*y**5 - 9*y**4 + 40/3*y**3 - g*y**2 + 0*y. Solve s(q) = 0.
0, 1, 2
Let s(i) be the third derivative of -i**6/420 - 16*i**5/105 - 31*i**4/84 - 44*i**2. Suppose s(r) = 0. Calculate r.
-31, -1, 0
Let m be (-385)/14 - 3/6. Let u be 2/m + (-4)/(-14)*2. Determine f so that 1/2*f**2 + 0 - 1/2*f**4 + 1/2*f**3 - u*f = 0.
-1, 0, 1
Factor 0 - 50/3*n**3 - 88/3*n + 136/3*n**2 + 2/3*n**4.
2*n*(n - 22)*(n - 2)*(n - 1)/3
Let p be 64/(-48)*(-6)/4. Let 1/2*o**p + 3*o + 9/2 = 0. Calculate o.
-3
Let p(g) be the first derivative of -g**5/80 - 5*g**4/48 - g**3/3 - g**2/2 - 11*g - 32. Let k(o) be the first derivative of p(o). Factor k(u).
-(u + 1)*(u + 2)**2/4
Let a(l) = l + 16. Let z be a(-13). Suppose -q - 2 = -k, 0 = 2*k - 5*q - 1 - z. Factor 0*n + n**k + 2*n + 0*n + 1.
(n + 1)**2
Let p(f) = 4*f**3 + 3*f + 3. Let k = -4 + 0. Let o(h) = -5*h**3 - 4*h - 4. Let u(z) = k*p(z) - 3*o(z). Determine y, given that u(y) = 0.
0
Let m be 8/72*(-18)/(-16). Let i(h) be the third derivative of 0 + 3/8*h**6 + 9/70*h**7 + m*h**4 + 0*h + 7/20*h**5 + 0*h**3 - 10*h**2. Factor i(f).
3*f*(f + 1)*(3*f + 1)**2
Let z(v) be the second derivative of -1/6*v**4 - v**3 + 0 - 2*v**2 + 8*v. Find k, given that z(k) = 0.
-2, -1
Let n(z) = 4*z + 4. Let j be n(-8). Let y be (96/j)/(-12)*(-1 + 4). Factor 4/7*c**2 + y*c**3 + 0*c + 0.
2*c**2*(3*c + 2)/7
Let o(j) be the first derivative of -4*j**5/5 - 24*j**4 - 712*j**3/3 - 672*j**2 + 2156*j + 354. Factor o(b).
-4*(b - 1)*(b + 7)**2*(b + 11)
Let f be (-14659)/(-7704) - (-4)/(-45)*(-10)/4. Determine w so that 0 + 3/4*w + 1/8*w**5 + 7/8*w**4 + 17/8*w**3 + f*w**2 = 0.
-3, -2, -1, 0
Suppose 4*g = 18*g - 56. Let r(i) be the third derivative of 1/40*i**6 + 1/10*i**5 + 0*i + 0*i**3 + 1/8*i**g + 6*i**2 + 0. Let r(t) = 0. Calculate t.
-1, 0
Suppose -3 = 483*g - 517*g + 133. Factor 15/4*y**3 - 21/4*y**g + 0*y + 9/4*y**5 - 3/4*y**2 + 0.
3*y**2*(y - 1)**2*(3*y - 1)/4
Let g = 13 - 8. Let f(a) be the second derivative of 7*a + 0*a**2 + 0 + 1/80*a**g + 1/6*a**3 + 1/12*a**4. Factor f(x).
x*(x + 2)**2/4
Let q(s) = -145*s**2 - 545*s - 1090. Let x(d) = -11*d**2 - 42*d - 84. Let u(y) = -3*q(y) + 40*x(y). Find z, given that u(z) = 0.
-6, -3
Let k(z) be the second derivative of -z**4/54 + 4*z**3/27 - 142*z. Find c such that k(c) = 0.
0, 4
Let m(l) be the second derivative of -9*l - 4/3*l**2 + 0*l**3 + 0 + 1/18*l**4. What is v in m(v) = 0?
-2, 2
Suppose 4*g - 10 + 6 = 0, 3*s - 5 = 4*g. Let b(u) be the first derivative of -1/4*u**2 - 1/12*u**s - 3 + 0*u. Determine o so that b(o) = 0.
-2, 0
Suppose 8 = 3*j + o, 26*o - 4 = -3*j + 24*o. Determine l so that -10*l**2 + 2/5*l**5 + 32/5*l - 14/5*l**j + 38/5*l**3 - 8/5 = 0.
1, 2
Let i(w) = -121*w + 368. Let x be i(3). Factor -2/11*t**x + 16/11*t**2 + 4/11 + 4/11*t**3 - 4/11*t**4 + 14/11*t.
-2*(t - 2)*(t + 1)**4/11
Let n(x) = 4*x**2 + 189*x - 8464. Let k(i) = i**2 + i. Let t(l) = 15*k(l) - 3*n(l). Solve t(g) = 0 for g.
92
Factor 1043*j - 963*j + 4*j**3 - 48*j**2 + 4 - 4.
4*j*(j - 10)*(j - 2)
Let c(o) be the second derivative of -o**7/14 + o**6/10 + 51*o**5/20 - 21*o**4/4 - 18*o**3 - 188*o. Determine q, given that c(q) = 0.
-4, -1, 0, 3
Factor -1644 + 8710*j + 10622 - 5*j**3 + 7*j**3 - 266*j**2.
2*(j - 67)**2*(j + 1)
Let r be ((-19)/38)/((-2)/16) + -1. Determine d so that 1/2*d**r + 0 + 0*d - 1/2*d**2 = 0.
0, 1
Let b(x) be the second derivative of 0 + 1/90*x**4 + 2/45*x**3 + 0*x**2 + 7*x. Factor b(w).
2*w*(w + 2)/15
Factor 6/7*o**2 - 4/7 + 5/7*o**3 - 3/7*o.
(o + 1)**2*(5*o - 4)/7
Suppose 2*v + 4 = g - 0*v, 0 = 2*g - 5*v - 9. Let b(j) = -2*j - 10. Let r be b(-11). Solve r - 9*f**g - 9*f + 27*f**3 - 13*f - 2*f = 0.
-1, 2/3
Suppose -4*v - 5*g = -11, -5*v + 3*g + 15 = -2*v. Determine d, given that v*d**2 + d + 16*d - 13*d = 0.
-1, 0
Let h(y) be the first derivative of -32*y**3 + 12*y**2 - 3*y/2 + 269. Find w such that h(w) = 0.
1/8
Let w(o) be the third derivative of -o**7/105 - o**6/20 + o**5/10 + 11*o**4/12 + 2*o**3 + 5*o**2 - 2. Factor w(q).
-2*(q - 2)*(q + 1)**2*(q + 3)
Let i(q) be the first derivative of 10 - 1/3*q**4 + 10*q - 3/2*q**2 + 7/6*q**3. Let l(s) be the first derivative of i(s). What is d in l(d) = 0?
3/4, 1
Suppose -22*w**3 - 2*w**4 - 24*w**3 + 64*w**3 + 4*w + 2*w**2 - 22*w**3 = 0. What is w?
-2, -1, 0, 1
Let r(m) be the third derivative of 3*m**7/665 + m**6/60 + m**5/570 - m**4/12 - 10*m**3/57 + 10*m**2 - 1. Find j, given that r(j) = 0.
-10/9, -1, 1
Find t, given that 72*t**3 - 4*t**2 - 5*t + 78*t**3 - 221*t**3 - 2 + 70*t**3 = 0.
-2, -1
Let l = 1/376 - -3753/2632. Suppose -4 = -3*v + 5. Determine b, given that -l*b**2 + 0 + 4/7*b - 2*b**v = 0.
-1, 0, 2/7
Let w be (-2)/4*(2 - 2). Let t = 11210/8403 + -2/2801. Factor w - 2/3*m**2 - t*m.
-2*m*(m + 2)/3
Let j = -3 + 5. Factor -3*q**j - 6*q**2 - 8 + 9*q**2 + 2*q**2 - 6*q.
2*(q - 4)*(q + 1)
Let o = -2310 - -2310. Let u(f) be the third derivative of 2*f**2 + 0*f + o + 1/12*f**4 + 0*f**5 + 2/9*f**3 - 1/180*f**6. Suppose u(n) = 0. What is n?
-1, 2
Let g(z) = -z**3 + 5*z - 1. Let q be g(2). Suppose -21 = -5*s - q. Factor 0*w**2 + 0 + 12/7*w**3 + 6/7*w**5 - 2/7*w - 16/7*w**s.
2*w*(w - 1)**3*(3*w + 1)/7
Let v be 52/12 + (15 - 36 - -17). Factor 4/3*b**2 + 0 + 4/3*b**4 - v*b - 2*b**3 - 1/3*b**5.
