i. Solve a(n) = 0.
-2, 0, 2/5, 1
Let q(r) = -2*r - 17. Let p be q(-10). Let c(y) be the first derivative of 4/7*y - 1/14*y**4 + 1/7*y**2 - 3 - 4/21*y**p. Find v, given that c(v) = 0.
-2, -1, 1
Determine n, given that -3/7*n + 3/7*n**2 - 3/7 + 3/7*n**3 = 0.
-1, 1
Let k(s) be the second derivative of -3*s**5/40 - 3*s**4/8 - 3*s**3/4 - 3*s**2/4 - 6*s. Solve k(v) = 0 for v.
-1
Suppose 2*p = -2*p + 12. Let s(k) = k**3 - 9*k**2 - 9*k - 9. Let t be s(10). Suppose -6*g + p*g**3 - t + 5 - g**3 = 0. Calculate g.
-2, 1
Let c(w) = 2*w**2 + 2*w. Let i be c(-2). Let l be i/72*(6 + -3). Determine s so that -1/6 + 1/3*s - l*s**2 = 0.
1
Let s(z) be the third derivative of -z**5/20 + z**3/2 + 7*z**2. Solve s(b) = 0 for b.
-1, 1
Suppose -6*b = -12 - 6. Find u such that -6/7*u**4 + 0 + 2/7*u + 8/7*u**5 + 6/7*u**2 - 10/7*u**b = 0.
-1, -1/4, 0, 1
Let u = 0 - 4. Let l = -2 - u. Factor -n**3 + 0*n**2 - 2*n**l + 0*n**3.
-n**2*(n + 2)
Let o(p) be the second derivative of -p**5/5 + p**4 - 2*p**3 + 2*p**2 - 4*p. Factor o(f).
-4*(f - 1)**3
Suppose 3*t + k - 34 = -2*t, 4*k = 3*t - 25. Suppose -t = -4*h + 5. Factor 0 + 2/5*z**h - 2/5*z + 0*z**2.
2*z*(z - 1)*(z + 1)/5
Let j = -1 + 5. Factor 3*p**4 + 5*p - 3 + j*p**2 + 6*p**3 - 4*p**2 - 11*p.
3*(p - 1)*(p + 1)**3
Let r = -1 + 3. Suppose -3*i**2 + r + i**2 - 3 + 3 = 0. What is i?
-1, 1
Let m(w) be the second derivative of 0*w**3 + 1/10*w**5 + 0*w**2 + 1/15*w**6 + w + 0*w**4 + 0. Factor m(l).
2*l**3*(l + 1)
What is i in -8 + 44/3*i - 8*i**2 + 4/3*i**3 = 0?
1, 2, 3
Suppose -5*h - 6 = -2*u - 24, -4*u = h + 14. Let s be (h/(-28))/((-4)/64). Factor -40/7*w + s + 50/7*w**2.
2*(5*w - 2)**2/7
Let 0 + 1/6*d**2 - 1/6*d**4 + 1/6*d**3 - 1/6*d = 0. What is d?
-1, 0, 1
Let r be 13/5 - (-24)/60. Factor 26*x**r - x**4 + 12*x**2 + 8*x**2 - 2*x - 6*x + 8*x**4.
x*(x + 2)**2*(7*x - 2)
Let l(a) = 2*a**2 - a + 2. Let w(h) = -10*h**2 + 6*h - 10. Let v(i) = -14*l(i) - 3*w(i). Find c such that v(c) = 0.
1
Let j(k) be the second derivative of -k**6/360 + k**5/40 - k**4/12 + 2*k**3/3 + 4*k. Let d(p) be the second derivative of j(p). Suppose d(o) = 0. Calculate o.
1, 2
Let u = 4 + -2. Factor 8/5*i**4 + 0 - 2/5*i**3 + 6/5*i**5 + 0*i - 4/5*i**u.
2*i**2*(i + 1)**2*(3*i - 2)/5
Let l(j) be the first derivative of -2 - 1/4*j**4 - 1/3*j**3 + j + 1/2*j**2. Find n, given that l(n) = 0.
-1, 1
Suppose -5*t = -20 - 5. Let h be (-2)/t + (-140)/(-225). Let -2/9 + 0*d + h*d**2 = 0. Calculate d.
-1, 1
Suppose 0*u = -3*u + 27. Suppose -3*k + 0*k + u = 0. Factor -2*y**k + 2*y**3 + 6*y**2 + y**5 - 3*y**4 - 2*y**2.
y**2*(y - 2)**2*(y + 1)
Let a = -700 + 700. Factor 2/15*x**3 + 0*x**2 - 2/15*x + a.
2*x*(x - 1)*(x + 1)/15
Let c = 1666/15 - 111. Let j(m) be the second derivative of 0*m**2 + 1/6*m**4 + 0 + 2*m + 1/3*m**3 - 1/10*m**5 - c*m**6. Find z, given that j(z) = 0.
-1, 0, 1
Let b(p) be the first derivative of -p**7/420 - 2*p**6/135 - 7*p**5/180 - p**4/18 + p**3 - 2. Let f(o) be the third derivative of b(o). Let f(u) = 0. What is u?
-1, -2/3
Let y be 1/3 - (-20)/3. Let 21 - 18 + 3*l**2 - l + y*l = 0. Calculate l.
-1
Let g(k) = -k**3 - 7*k**2 - 7*k. Let f be g(-6). Let p = 9 - f. Factor 0*j**2 - 3*j**2 - 2*j + 3*j**p - 4*j + 0*j**2.
3*j*(j - 2)*(j + 1)
Let b = -18 - -24. Let o(l) be the first derivative of 0*l**4 + 0*l**3 - 1/21*l**b + 2/35*l**5 + 0*l + 0*l**2 - 1. Suppose o(g) = 0. What is g?
0, 1
Find u, given that 38*u - 2*u - 691*u**2 + 683*u**2 - 21*u**3 + 8 - 15*u**3 = 0.
-1, -2/9, 1
Suppose 0 = 4*b + 2*c - 16, 4*b - 5*c = b - 1. What is t in -2/7*t**b + 0 - 2/7*t - 4/7*t**2 = 0?
-1, 0
Let d(v) be the first derivative of -11*v**3 - 3 - 16/5*v**5 - 10*v**4 - 5*v**2 - v. Let d(z) = 0. Calculate z.
-1, -1/4
Let m(o) be the first derivative of 0*o**2 - 1 + 2*o + 1/12*o**3 - 7/48*o**4. Let s(u) be the first derivative of m(u). Determine h so that s(h) = 0.
0, 2/7
Let s(n) be the first derivative of -7 + 6*n + 21/2*n**2 - 4*n**3. Let s(j) = 0. What is j?
-1/4, 2
Let w(l) be the second derivative of -l**6/150 + 3*l**5/50 - 13*l**4/60 + 2*l**3/5 - 2*l**2/5 + 2*l. Let w(s) = 0. What is s?
1, 2
Let q(p) = p**2 + 2*p + 2. Let o be q(-2). Let d be (-6)/3*(-3)/o. Factor -2*l + 4*l**2 - l**d - 2*l**3 + l**3.
-2*l*(l - 1)**2
Let c = -111 + 119. Let u(h) be the third derivative of 4*h**2 + 0*h**3 + 1/36*h**4 + 2/63*h**c + 0*h + 0 + 1/15*h**5 - 8/105*h**7 + 1/180*h**6. Factor u(p).
2*p*(p - 1)**2*(4*p + 1)**2/3
Suppose l + 3*m - 13 = 5*m, -2*l + 5*m + 31 = 0. Factor -f - 4*f + l - 4 - 4*f**2.
-(f + 1)*(4*f + 1)
Let k(x) be the first derivative of -2/5*x**5 + 0*x + 1 + 0*x**2 + 0*x**4 + 0*x**3. Solve k(c) = 0.
0
Let y(s) = s - 1. Let x(k) be the first derivative of k**3/3 + k**2/2 + 2*k + 1. Suppose -z + f = 3, -2*f + 4 = -f. Let i(g) = z*y(g) + x(g). Factor i(l).
(l + 1)**2
Suppose 2*v - 3*l - 4 = 0, 0 = 2*v - 6*l + 4*l - 4. Let a(w) be the second derivative of 0 + v*w + 4/5*w**5 - 1/5*w**6 - w**4 + w**2 + 0*w**3. Factor a(b).
-2*(b - 1)**3*(3*b + 1)
Determine s, given that -14*s**4 + 11*s**4 - 34*s**2 - 5*s**3 + 40*s**2 + 2*s**3 = 0.
-2, 0, 1
Factor 2/5*j**2 + 0 - 4/5*j.
2*j*(j - 2)/5
Factor -4*g**3 + 4*g - 6*g**4 + 4*g**3 - 4*g**3 + 4*g**4 + 2*g**2.
-2*g*(g - 1)*(g + 1)*(g + 2)
Let t(s) be the third derivative of s**7/210 - s**5/60 + 9*s**2. What is l in t(l) = 0?
-1, 0, 1
Let t(z) be the first derivative of z**7/840 - z**5/120 - 4*z**3/3 + 2. Let i(p) be the third derivative of t(p). What is g in i(g) = 0?
-1, 0, 1
Find u, given that 0*u + 0*u - 3*u**4 + 3*u**2 + 0*u = 0.
-1, 0, 1
Determine k so that -36/5*k + 108/5 + 3/5*k**2 = 0.
6
Determine k, given that 15/2*k**4 + 3*k**3 + 0*k**2 + 0 + 9/2*k**5 + 0*k = 0.
-1, -2/3, 0
Let m(v) be the second derivative of -v**8/3360 + v**7/1260 + v**6/360 - v**5/60 - v**4/6 - 6*v. Let o(u) be the third derivative of m(u). Factor o(t).
-2*(t - 1)**2*(t + 1)
Suppose -6*u = -7*u + 13. Let 7/2*k**5 - u*k**4 + 0*k + 10*k**3 + 0 + 4*k**2 = 0. Calculate k.
-2/7, 0, 2
Let q(b) be the first derivative of -b**4/48 + b**3/12 - 2*b + 2. Let u(y) be the first derivative of q(y). Factor u(o).
-o*(o - 2)/4
Let l be 16/4*((-15)/6 + 3). Factor 0*m**l + 0*m - 2/3*m**5 + 0*m**4 + 0 + 0*m**3.
-2*m**5/3
Let k(v) be the third derivative of -v**8/224 + v**7/70 - v**5/20 + v**4/16 + 5*v**2. Solve k(l) = 0 for l.
-1, 0, 1
Let b = -693 - -2176/3. Let r = -32 + b. Factor -1/3*m**3 - 1/3*m**4 + r*m + 1/3*m**2 + 0.
-m*(m - 1)*(m + 1)**2/3
Let q(l) be the third derivative of -l**8/60480 + l**7/7560 + l**5/30 - 10*l**2. Let w(v) be the third derivative of q(v). Factor w(u).
-u*(u - 2)/3
Let y(a) be the first derivative of -a**3/6 + a**2/2 - a/2 + 2. What is o in y(o) = 0?
1
Let h(j) = -9*j**5 + 18*j**4 - 12*j**3 - 6*j**2 + 15*j. Let w(s) = -8*s**5 + 17*s**4 - 12*s**3 - 6*s**2 + 15*s - 1. Let i(b) = -5*h(b) + 6*w(b). Solve i(c) = 0.
-1, 1, 2
Let k(i) be the third derivative of i**10/453600 - i**8/60480 + i**5/15 + 2*i**2. Let j(u) be the third derivative of k(u). Factor j(q).
q**2*(q - 1)*(q + 1)/3
Let d be (-741)/(-273) - (-2)/7. Let -8/5 - 4/5*g**d + 0*g**2 + 12/5*g = 0. What is g?
-2, 1
Suppose 0*w = 2*w. Factor -2 + 6 + w*z**3 - z**2 - z**3 + 16*z - 3*z**3.
-(z - 2)*(z + 2)*(4*z + 1)
Let m(z) be the second derivative of -z**9/5040 + z**8/2240 + z**7/840 - z**6/240 + z**4/3 - 3*z. Let o(t) be the third derivative of m(t). Factor o(l).
-3*l*(l - 1)**2*(l + 1)
Let v = 2 - 4. Let f(g) = 2*g**2 + 4*g + 2. Let i be f(v). Determine z, given that -z**3 + 2*z - 6*z - 8 - 5*z**2 - 8*z - z**i = 0.
-2
Let p(v) be the first derivative of -3/14*v**4 + 3 + 2/21*v**3 + 2/35*v**5 - 4/7*v + 3/7*v**2. Factor p(i).
2*(i - 2)*(i - 1)**2*(i + 1)/7
Suppose r + 4*r - 20 = 0. Suppose -r*p + 3*p = 0. Factor -2/9*b + p - 2/9*b**2.
-2*b*(b + 1)/9
Let s = -1004/5 - -201. What is c in 4/5*c - 1/5 - 6/5*c**2 - s*c**4 + 4/5*c**3 = 0?
1
Let g(c) be the third derivative of -c**7/140 + c**6/80 + c**5/40 - c**4/16 + 3*c**2. Determine p so that g(p) = 0.
-1, 0, 1
Let a(o) be the second derivative of 0 - 1/24*o**3 + 1/2*o**2 - 1/48*o**4 + o - 1/240*o**5. Let l(v) be the first derivative of a(v). Factor l(h).
-(h + 1)**2/4
Solve -56 - 5*a**2 + 42 - 50 + a**2 + 32*a = 0 for a.
4
Factor 22*q - 43*q + 9*q + 3*q**2 - 3 + 12*q**3.
3*(q - 1)*(q + 1)*(4*q + 1)
Let i(o) = o**3 + o - 5. Let f be i(2). Let v(q) be t