t z = -31/210 + 3/14. Let v(k) be the third derivative of k**2 - 4/3*k**3 + 0 + z*k**7 + 1/30*k**6 - 7/10*k**5 + 0*k - 5/3*k**4. Factor v(l).
2*(l - 2)*(l + 1)**2*(7*l + 2)
Let z(q) = 9*q**3 - 36*q + 48. Let l(u) = 26*u**3 - 108*u + 144. Let d(p) = -6*l(p) + 17*z(p). Determine m, given that d(m) = 0.
-4, 2
Determine i, given that 0*i + 3/2*i**2 - 9/4*i**3 + 3/4*i**4 + 0 = 0.
0, 1, 2
Let d(q) be the second derivative of -q**4/16 + 7*q**3/8 + 15*q. Factor d(f).
-3*f*(f - 7)/4
Let z + 0 - 8 + 3*z - 5*z**2 + 9*z**2 = 0. What is z?
-2, 1
Let v(t) = t**3 - 32*t**2 + t - 32. Let p be v(32). Find c such that -2/5*c + p + 2/5*c**2 = 0.
0, 1
Suppose -5 = -2*c - w, -3*c + 2*w - 5 + 16 = 0. Factor -2/3*y**c - 8/3*y**2 - 8/3*y + 0.
-2*y*(y + 2)**2/3
Let j be 7/56 + (-1)/(-120). Let w(x) be the second derivative of 1/60*x**4 + 0 + 2/5*x**2 - x + j*x**3. Factor w(d).
(d + 2)**2/5
Let s(g) be the third derivative of 1/30*g**4 + 0*g**3 + 3*g**2 + 0*g - 7/300*g**6 - 1/30*g**5 + 0. Factor s(i).
-2*i*(i + 1)*(7*i - 2)/5
Let -2/11*z**4 + 0*z**2 - 2/11*z**5 + 0 + 0*z + 0*z**3 = 0. Calculate z.
-1, 0
Let f(d) be the third derivative of 0*d**5 - 5*d**2 + 0 + 0*d**4 + 0*d**3 - 1/660*d**6 + 0*d. Let f(u) = 0. Calculate u.
0
Let v be -9 - (3 - (0 - -4)). Let h(j) = j**2 + 8*j + 3. Let i be h(v). Factor 1/3*a**i + 0*a**2 + 0 + 0*a.
a**3/3
Let m(u) = 5*u**2 + 6*u + 6. Let l(z) = -10*z**2 - 13*z - 13. Let b(n) = -6*l(n) - 13*m(n). Suppose b(g) = 0. Calculate g.
0
Let s = 88/357 - -2/51. Factor -2/7*k**4 + s*k**2 + 0 + 2/7*k - 2/7*k**3.
-2*k*(k - 1)*(k + 1)**2/7
Let 7/3*l**4 + 4*l**3 + l**2 + 0 - 2/3*l = 0. Calculate l.
-1, 0, 2/7
Let t = -6/85 - -8/17. Factor 0*c**2 - 2/5*c**4 + 0*c + 0 - t*c**3.
-2*c**3*(c + 1)/5
Let d be 27/(-90)*4*2/(-6). Let d*f**2 - 6/5*f + 4/5 = 0. Calculate f.
1, 2
Let g(l) be the third derivative of -7/240*l**6 + 1/280*l**7 + 1/6*l**3 - 1/6*l**4 + 0 + 23/240*l**5 + 2*l**2 + 0*l. Find o such that g(o) = 0.
2/3, 1, 2
Suppose 4*q - 36 = -0*q. Factor -6 - 2*x**2 + x - 2 - q*x.
-2*(x + 2)**2
Let l(z) be the third derivative of -1/39*z**4 - 4/195*z**5 + 0*z + 3*z**2 + 0 + 0*z**3 - 1/260*z**6. Let l(d) = 0. Calculate d.
-2, -2/3, 0
Let u(l) be the first derivative of 3*l**4/32 - 9*l**2/16 - 3*l/4 + 6. What is x in u(x) = 0?
-1, 2
Let u = 562/3 + -187. Factor -u*q**5 + 2/3*q**4 + 0 + 0*q**2 + 0*q - 1/3*q**3.
-q**3*(q - 1)**2/3
Let n(q) be the third derivative of q**10/100800 - q**8/13440 + q**5/30 - 2*q**2. Let h(z) be the third derivative of n(z). Solve h(y) = 0.
-1, 0, 1
Let j = 842 - 458. Let q = j + -2680/7. Factor -2/7*z**5 + 8/7*z**2 + 0 + q*z**4 - 2/7*z - 12/7*z**3.
-2*z*(z - 1)**4/7
Let h be 1/(16/3)*308/135. Let y(u) be the third derivative of -49/360*u**6 - 2/9*u**3 + 0 - 3*u**2 - 4/9*u**4 + 0*u - h*u**5. Find b, given that y(b) = 0.
-1, -2/7
Factor 6/17*w - 2/17*w**3 + 0*w**2 - 4/17.
-2*(w - 1)**2*(w + 2)/17
Let z(d) be the first derivative of d**4/4 - 3*d**2/2 - 5*d + 5. Let u(r) be the first derivative of z(r). Factor u(t).
3*(t - 1)*(t + 1)
Let r(t) be the first derivative of -t**5/20 - t**4/4 - t**3/3 + t - 3. Let y(u) be the first derivative of r(u). Factor y(q).
-q*(q + 1)*(q + 2)
Let h(o) = -o**3 + 16*o**2 - 18*o + 18. Let j be h(12). Let d = -2642/7 + j. Determine c so that 0 - 2/7*c**2 - d*c = 0.
-2, 0
Factor -11*z**2 + 2*z**3 - 14*z**2 + 7*z**2.
2*z**2*(z - 9)
Let b = -2/169 + 54/169. Solve -2/13*j**2 + b*j + 6/13 = 0 for j.
-1, 3
Let q(m) be the second derivative of 0 - m**2 - 1/6*m**3 + 1/12*m**4 + 2*m. What is a in q(a) = 0?
-1, 2
Let h be 1/1 + 2 + 0. Suppose 0*j + h*j = 0. Factor 3*w**2 + 1 + 0*w**2 + w**3 + 3*w + j*w**2.
(w + 1)**3
Let f(c) be the second derivative of -c**5/5 + 11*c**4/12 - 5*c**3/6 - c**2 - 29*c. Suppose f(n) = 0. Calculate n.
-1/4, 1, 2
Let o(z) be the first derivative of -5*z**3/3 + 25*z**2/2 - 15. Factor o(k).
-5*k*(k - 5)
Suppose 2*x + 2*x - 3*a - 11 = 0, -3*a - 3 = 0. Factor 1 + 1/2*s - 1/2*s**x.
-(s - 2)*(s + 1)/2
Let j(i) be the first derivative of -i**4/6 + 2*i**3/3 - i**2 + 4*i - 2. Let p(t) be the first derivative of j(t). Determine f, given that p(f) = 0.
1
Let g(y) = -y**2 + 4*y + 6. Let q be g(5). Let x(w) = 6*w**3 + w**2 - 2*w + 1. Let f be x(q). Solve -f + 0*t + 2*t**2 + 2 - 2*t = 0 for t.
-1, 2
Let v(d) = 5*d**3 + d**2 + d + 1. Let b be v(-1). Let a = b + 6. Find q such that -a - 6*q**2 + 3 - q**2 - 2*q + 8*q**2 = 0.
1
Let l(w) be the first derivative of w**6 + 8*w**5/5 - 4*w**4 - 12*w**3 - 11*w**2 - 4*w + 13. Suppose l(j) = 0. Calculate j.
-1, -1/3, 2
Let u(n) = n + 2. Let s be u(-2). Find v such that 3*v - 7*v**3 - 6*v**3 + 4*v**3 + s*v**4 + 6*v**4 = 0.
-1/2, 0, 1
Let r(b) be the first derivative of -2 - 1/4*b**2 + 1/12*b**3 + 1/4*b. Find v such that r(v) = 0.
1
Suppose 0 = -4*a - 5*n - 5, 5*a + 3*n - 6 = 4. Find p, given that 4*p + 2*p - 4*p + 14*p**4 + 18*p**3 + 2*p**2 + 8*p**2 + 4*p**a = 0.
-1, -1/2, 0
Let f = -784/663 + -26/51. Let z = 127/52 + f. Determine d so that 3/2 - 15/4*d + 3*d**2 - z*d**3 = 0.
1, 2
Suppose w - 3*l - 1 = -7, -2*w + 3*l - 6 = 0. Suppose 0*r - 6/5*r**2 + 6/5*r**4 - 3/5*r**3 + w + 3/5*r**5 = 0. Calculate r.
-2, -1, 0, 1
Let z(o) be the second derivative of 8*o**6/15 + 31*o**5/5 + 56*o**4/3 - 32*o**3/3 + 5*o. Determine q so that z(q) = 0.
-4, 0, 1/4
Find a, given that -1/5*a**3 - a - 2/5 - 4/5*a**2 = 0.
-2, -1
Let i(s) be the second derivative of 1/24*s**4 + 1/2*s**2 + 1/4*s**3 + 0 + s. Factor i(l).
(l + 1)*(l + 2)/2
Let y(x) = -21*x**3 + 93*x**2 - 129*x + 45. Let t(j) = 21*j**3 - 92*j**2 + 128*j - 44. Let q(k) = -3*t(k) - 4*y(k). Let q(c) = 0. Calculate c.
4/7, 2
Let z(q) be the first derivative of 0 + 4*q - q - q**3 - 3 + 2. Find h, given that z(h) = 0.
-1, 1
Let p(h) = 4*h**2 + 15*h + 18. Let x(s) = s**2. Let o(b) = p(b) - x(b). Let o(m) = 0. Calculate m.
-3, -2
Let z(v) be the third derivative of v**5/60 - v**4/6 + 2*v**3/3 - 5*v**2. Factor z(m).
(m - 2)**2
Let t(j) = 8*j**3 + 2*j**2 - j - 5. Let f(y) = 10*y**3 + 2*y**2 - 2*y - 6. Let s(p) = 5*f(p) - 6*t(p). Let s(k) = 0. Calculate k.
-1, 0, 2
Let u(j) be the first derivative of 4*j**5/5 - j**4/2 - 10*j**3/3 - 2*j**2 - 27. Solve u(q) = 0 for q.
-1, -1/2, 0, 2
Let v(g) be the first derivative of g**4/48 - g**2/8 - 6*g - 4. Let d(k) be the first derivative of v(k). Factor d(q).
(q - 1)*(q + 1)/4
Let j(i) be the first derivative of 4/9*i**3 - 4/15*i**5 + 1/9*i**6 + 0*i + 0*i**4 - 2 - 1/3*i**2. Solve j(g) = 0 for g.
-1, 0, 1
Let j(l) be the first derivative of -4 + 0*l**2 - 1/6*l**3 - 1/4*l**4 + 0*l - 1/10*l**5. Determine u so that j(u) = 0.
-1, 0
Let a be (-44)/176 - (-38)/8. Factor a*x**2 + 3 + 21/2*x.
3*(x + 2)*(3*x + 1)/2
Let k(c) be the first derivative of c**3/3 + c + 2. Let p be k(-1). Let -j**3 - 2 + j + p = 0. What is j?
-1, 0, 1
Suppose 6*f + 4 = 7*f. Suppose -2*t = f*a - 4*t, a + t = 0. Let -2/9*b**2 + a - 2/9*b = 0. What is b?
-1, 0
Let j(r) be the second derivative of 2*r**6/75 + r**5/100 - 11*r. Factor j(y).
y**3*(4*y + 1)/5
Let a(p) be the third derivative of p**5/110 - 5*p**4/132 - 2*p**3/33 + 8*p**2. Find x such that a(x) = 0.
-1/3, 2
Suppose 6 + 4*l**3 - 16 + 2 - 12*l = 0. What is l?
-1, 2
Let i be (-9 - -1)*17/(-34). Let m(d) be the second derivative of 1/5*d**5 + 1/3*d**6 - 5/2*d**i + 4*d**2 + 3*d + 4/3*d**3 + 0. Factor m(c).
2*(c - 1)**2*(c + 2)*(5*c + 2)
What is k in -1/10*k**2 + 1/10*k + 3/5 = 0?
-2, 3
Let n be 6/(-4) + 3/2. Let k(x) be the first derivative of -1 + n*x + 1/3*x**3 - 1/2*x**2. Find q such that k(q) = 0.
0, 1
Suppose 0*f + 18 = -p + 4*f, -4*f + 16 = -2*p. Factor -o**p + 2 - 2*o + 3*o**2 - 2*o.
2*(o - 1)**2
Find l such that -8/7*l**2 - 1/7*l**4 - 4/7*l + 0 - 5/7*l**3 = 0.
-2, -1, 0
Let y(c) = 2*c - 15. Let n be y(7). Let s be (n - -4 - -2) + 0. Find b such that 0*b**2 - 4/7*b**4 + 0*b - 2/7*b**3 - 2/7*b**s + 0 = 0.
-1, 0
Let o(c) be the first derivative of 5*c**6/24 - c**5/2 + 5*c**4/16 + 3. Factor o(y).
5*y**3*(y - 1)**2/4
Suppose 7*d - 2*d = 210. Let n be -2 + 2/10*d. Find k, given that 2/5*k - 14/5*k**2 + 16/5*k**3 + 0 + n*k**4 = 0.
-1, 0, 1/4
Let l = 365/1521 - 3/169. Factor 2/9*t**2 - l*t**3 + 2/9*t - 2/9.
-2*(t - 1)**2*(t + 1)/9
Let w = -19 - -25. Let b be (-2)/(-12) - w/(-18). Factor b + 1/4*x - 3/4*x**2.
-(x - 1)*(3*x + 2)/4
Let m(y) be the second derivative of -y**5/20 +