first derivative of 2 - 6*f - f**3 - 3/2*f**2. Let u(t) = 5*t**2 + 5*t + 11. Let j(x) = -7*m(x) - 4*u(x). Find g, given that j(g) = 0.
-2, 1
Let c(l) be the third derivative of 7*l**5/30 + 3*l**4/4 + 2*l**3/3 + 28*l**2. Factor c(d).
2*(d + 1)*(7*d + 2)
Let p = -256 + 258. Determine w so that 3*w**4 + 0 - 3/4*w**5 + 3*w**p - 9/2*w**3 - 3/4*w = 0.
0, 1
Let q(x) be the second derivative of -x**4/12 - x**3 - 9*x**2/2 + 26*x. Factor q(d).
-(d + 3)**2
Let o(k) = -k**3 + 3*k**2 + 2*k - 4. Let z be o(3). Suppose z*r + 3*r = 0. Determine v, given that r + 2/9*v - 2/9*v**2 = 0.
0, 1
Suppose 3*h - 3*n - 23 = h, 3*h - n - 17 = 0. Determine z so that -z + 2*z**2 + z - h*z = 0.
0, 2
Let p(y) be the third derivative of -y**6/105 - y**5/30 + 17*y**4/42 - 8*y**3/21 + 6*y**2 - 2*y. Suppose p(t) = 0. Calculate t.
-4, 1/4, 2
Let i(o) = -o**2 - o - 1. Let j(b) = -3*b**2 - 5*b - 4. Suppose -3*m + 4 - 7 = 0. Let h(y) = m*j(y) + 2*i(y). Factor h(c).
(c + 1)*(c + 2)
Let a(p) be the first derivative of -p**6/900 - p**5/300 - 7*p**3/3 - 7. Let r(c) be the third derivative of a(c). Factor r(d).
-2*d*(d + 1)/5
Let o(z) = z**2 - 6*z + 5. Let x be o(5). Suppose a + 2*r - 2 = 0, -3*r + 10 = 5*a - x*a. Factor 1/3*t + 0 + 1/3*t**a.
t*(t + 1)/3
Let r = -5 - -4. Let i(k) = 2*k**2 + k + 1. Let z be i(r). Determine o so that -2/7 - 2/7*o**z - 4/7*o = 0.
-1
Let w(b) be the first derivative of -2 + 7/6*b**2 + 2/3*b - 4/9*b**3. What is n in w(n) = 0?
-1/4, 2
Factor 5/3*a**2 + 2/3*a - 1/3*a**5 + 0 + a**3 - 1/3*a**4.
-a*(a - 2)*(a + 1)**3/3
Let l = 52 + -50. Factor -1/2*s**2 + 1/2 - l*s + 2*s**3.
(s - 1)*(s + 1)*(4*s - 1)/2
Factor -4*j**4 + 4*j**2 + 8*j - 2 - 8*j**3 - 2 + 4.
-4*j*(j - 1)*(j + 1)*(j + 2)
Let r = 13036/9843 - 45/34. Let y = 6937/12738 + r. Determine t, given that -2/11*t**5 + 0*t + 0*t**2 - 4/11*t**3 - y*t**4 + 0 = 0.
-2, -1, 0
Let z = 1/28 + 5/7. Determine i, given that -3/4 + z*i**3 + 3/4*i**2 - 3/4*i = 0.
-1, 1
Let p(r) = -r**3 + 2*r**2 + r - 1. Let o(i) = i**4 + i**2 - 1. Let b be (-3 + 6)/(3/2). Let q(j) = b*p(j) - 2*o(j). Determine l, given that q(l) = 0.
-1, 0, 1
Let j(h) be the first derivative of -h**4/3 + 8*h**2 + 7*h + 7. Let d(c) be the first derivative of j(c). Factor d(y).
-4*(y - 2)*(y + 2)
Let w(b) = -11*b**2 - 50*b. Let y(g) = -12*g**2 - 50*g. Let d(q) = 7*w(q) - 6*y(q). Factor d(x).
-5*x*(x + 10)
Factor -1 - 1/3*y**2 - 4/3*y.
-(y + 1)*(y + 3)/3
Factor 2 + 4/3*m - 2/3*m**2.
-2*(m - 3)*(m + 1)/3
Suppose -8 + 2 = -3*f. Factor -2*q**3 + 3*q + f*q**2 + 3*q - q - q.
-2*q*(q - 2)*(q + 1)
Let s(m) = -2*m - 4. Let z(q) = q**3 - 3*q - 3. Let t be z(-2). Let x be s(t). Suppose -1 - 3 - 2*h**2 + x = 0. Calculate h.
-1, 1
Let c(h) be the first derivative of h**5/5 + h**4 - h**3/3 - 2*h**2 + 28. Let c(p) = 0. What is p?
-4, -1, 0, 1
What is l in 57/7*l**2 - 9/7*l**4 + 15/7*l**5 - 51/7*l**3 - 12/7 + 0*l = 0?
-2, -2/5, 1
Let l(s) be the second derivative of -s**6/180 + s**4/12 - s**3/6 + 4*s. Let b(i) be the second derivative of l(i). Suppose b(k) = 0. What is k?
-1, 1
Let -16 - r - 7*r - 4*r**2 - 8*r = 0. What is r?
-2
Let n be (-5)/35*14/(-4)*1. Factor -1/2*o - 1 + n*o**2.
(o - 2)*(o + 1)/2
Let c = 1103/942 - 2/471. Let z(o) be the second derivative of 3/5*o**5 + o**2 + o - c*o**3 + 0 - 7/12*o**4. Determine w so that z(w) = 0.
-2/3, 1/4, 1
Suppose 2*r - 51 + 47 = 0. Let f(q) be the third derivative of 3*q**r - 1/240*q**5 + 1/96*q**4 + 0*q**3 - 1/480*q**6 + 1/840*q**7 + 0 + 0*q. Factor f(m).
m*(m - 1)**2*(m + 1)/4
Let t(w) be the first derivative of 2 - 2/3*w**3 - 7/18*w**4 + 0*w - 2/9*w**2. Let t(j) = 0. Calculate j.
-1, -2/7, 0
Let y be ((-6)/15)/(1/(-5)). Find u such that 2*u**y - 2*u**5 + 0*u**2 + 4*u**5 - 2*u**3 + u**4 - 3*u**4 = 0.
-1, 0, 1
Let b(d) be the first derivative of -7*d**5/25 - 3*d**4/5 - d**3/5 + d**2/5 + 4. Factor b(m).
-m*(m + 1)**2*(7*m - 2)/5
Let i = 36/7 + -94/21. Suppose 2/3*k + 0 - i*k**3 + 2/3*k**4 - 2/3*k**2 = 0. Calculate k.
-1, 0, 1
Suppose 4*u - 9 = -1. Factor -3 - 2*b**u - 71*b - b**2 + 65*b.
-3*(b + 1)**2
Suppose -2*x - 15 + 49 = 0. Let m = 19 - x. Factor -9/4*k - 3/4 - 9/4*k**m - 3/4*k**3.
-3*(k + 1)**3/4
Let b(z) be the second derivative of -1/36*z**4 + 1/6*z**2 - 1/60*z**5 + 1/18*z**3 + 0 + 2*z. Let b(l) = 0. What is l?
-1, 1
Suppose -4*p + 0*h = 3*h - 135, p + 2*h = 40. Let q be ((-2)/9)/((-5)/p). Factor -2/3 + q*c - 2/3*c**2.
-2*(c - 1)**2/3
Let u(n) be the first derivative of n**4/12 - n**2/6 + 4. Suppose u(x) = 0. Calculate x.
-1, 0, 1
Let o(r) be the second derivative of r**7/252 + r**6/36 + 3*r**5/40 + 7*r**4/72 + r**3/18 + 41*r. Factor o(p).
p*(p + 1)**3*(p + 2)/6
Let u = 25 + -25. Let c(g) be the third derivative of 0 + u*g + 1/120*g**5 - 1/48*g**4 - 1/6*g**3 - g**2. Find q, given that c(q) = 0.
-1, 2
Suppose 0 - 3 = -m + w, -4*m - w = -17. Let k(p) = 2*p**2 - 4. Let u(h) = -1. Let x(s) = m*u(s) - k(s). Factor x(l).
-2*l**2
Suppose -k + 1 = 2. Let o be -1 + 5 + 1 - k. Factor -o*c**3 - c**2 - 3*c**4 - c**5 + 0*c**2 + 3*c**3.
-c**2*(c + 1)**3
Let n(t) = t**2 - 2*t - 4. Let y be n(4). Suppose -2*b + 5*b - 18 = 0. Find c, given that 0*c + 2*c**2 + 9*c**y + 2*c - 4*c**3 - 3*c**4 - b*c**3 = 0.
-1/3, 0, 1
Let v(t) be the second derivative of 2*t**7/21 + 8*t**6/15 - 2*t**5 - 64*t**4/3 - 58*t**3 - 72*t**2 + 5*t - 2. Let v(u) = 0. Calculate u.
-3, -1, 4
Solve 6*p + p**2 - 10*p - 10*p + 49 = 0.
7
Suppose 4*i**2 + 16*i + 2*i**2 - 2*i**2 + 7 + 9 = 0. What is i?
-2
Let y(z) be the third derivative of 0*z + 2*z**2 + 1/6*z**3 + 0*z**4 + 0 + 7/120*z**7 - 53/240*z**5 + 0*z**6. Determine x so that y(x) = 0.
-1, -2/7, 2/7, 1
Suppose 15*z = 9*z. Let x(f) be the third derivative of 0*f**5 + z*f + 0 - 1/8*f**4 + 1/120*f**6 + 1/3*f**3 - 5*f**2. Factor x(t).
(t - 1)**2*(t + 2)
Let l(i) = i**3 - 9*i**2 - i + 9. Let r = 13 + -4. Let v be l(r). What is b in -4*b**2 + 0*b**2 + 0*b + 2*b + v*b**2 = 0?
0, 1/2
Let d = 2 + -6. Let r(g) = 3*g**3 + 4*g**2 + g + 4. Let f(j) = 4*j**3 + 5*j**2 + j + 5. Let m(c) = d*f(c) + 5*r(c). Factor m(o).
-o*(o - 1)*(o + 1)
Let c(w) be the first derivative of -49*w**6/10 - 357*w**5/25 - 27*w**4/10 + 44*w**3/5 - 12*w**2/5 + 10. Determine o, given that c(o) = 0.
-2, -1, 0, 2/7
Let q be 6*(-2)/(-72)*4. Factor 2*g**4 - 2/3*g**5 + 2*g - 4/3*g**3 - q - 4/3*g**2.
-2*(g - 1)**4*(g + 1)/3
Let o(g) be the third derivative of -g**5/450 + g**3/45 - 11*g**2. Find d, given that o(d) = 0.
-1, 1
Let d(i) be the first derivative of i**4 + 16*i**3/3 + 10*i**2 + 8*i + 14. Factor d(j).
4*(j + 1)**2*(j + 2)
Let d = 1115/7 + -159. Determine g so that 0 + 2/7*g**3 + d*g**2 - 4/7*g = 0.
-2, 0, 1
Let h = 1622/9 + -180. Determine l so that -2/9*l**2 - h + 4/9*l = 0.
1
Let g(n) = 18*n**4 - 6*n**3 - 4*n**2 - 2*n - 2. Let z(y) = -y - 1. Let x(d) = -g(d) + 2*z(d). What is q in x(q) = 0?
-1/3, 0, 2/3
Let y(p) = -15*p**2 - 102*p + 588. Let u(v) = v**2 + v. Let f(g) = 18*u(g) + y(g). Determine w, given that f(w) = 0.
14
Let l(r) = 0*r**4 + r + r**3 - 2*r + r**4. Let i(m) = 6*m**4 + 10*m**3 + 8*m**2 - m. Let k = 11 - 12. Let n(s) = k*i(s) + 5*l(s). Find c, given that n(c) = 0.
-2, -1, 0
Let m(z) be the third derivative of z**8/112 - z**7/70 - 3*z**6/40 + z**5/20 + z**4/4 - 4*z**2. Solve m(a) = 0 for a.
-1, 0, 1, 2
Suppose -10 = 5*y - 7*y. Let r(n) be the third derivative of 0*n + 0 - 1/3*n**3 - 1/30*n**y + 4*n**2 + 1/6*n**4. Solve r(m) = 0 for m.
1
Suppose 0 - 1/5*r**2 + 2/5*r = 0. What is r?
0, 2
Factor 8/5 + 26/15*v - 8/15*v**2.
-2*(v - 4)*(4*v + 3)/15
Let f be (295/(-60) + 5)/1. Let q(t) be the third derivative of -f*t**3 + 3*t**2 + 0 + 11/96*t**4 - 3/80*t**5 + 0*t. What is v in q(v) = 0?
2/9, 1
Suppose 4*a + 40 = -0*a. Let m be (-3 - -2) + a/(-8). Find p such that -7/4*p**5 - 19/4*p**4 + 0 - 15/4*p**3 - m*p**2 + 1/2*p = 0.
-1, 0, 2/7
Let z(t) be the second derivative of t**7/6 - 3*t**6/10 - t**5/4 + 3*t**4/4 - t**3/3 - 4*t. Factor z(q).
q*(q - 1)**2*(q + 1)*(7*q - 2)
Let f = 27196/165 - 247/55. Let q = -159 + f. Determine s, given that -2/3*s**5 - q*s**2 + 4/3*s**4 + 0 + 2/3*s + 0*s**3 = 0.
-1, 0, 1
Let w(b) be the first derivative of 2*b**6/9 + 4*b**5/5 + b**4 + 4*b**3/9 + 15. Let w(r) = 0. What is r?
-1, 0
Let u = 17 + -13. Let m(n) be the third derivative of -1/40*n**5 + 1/240*n**6 + 1/16*n**u + 2*n**2 - 1/12*n**3 + 0 + 0*n. What is w in m(w) = 0?