) = -v + 9. Let l be z(7). Suppose -2*q + 3 = 1. Let c(j) = j**2. Let p(i) = -9*i**3 - 36*i**2 - 28*i + 8. Let s(h) = l*c(h) + q*p(h). Factor s(o).
-(o + 2)**2*(9*o - 2)
Let z(s) be the second derivative of -s**7/189 - 4*s**6/135 - s**5/15 - 2*s**4/27 - s**3/27 - s. Let z(o) = 0. Calculate o.
-1, 0
Suppose -4*g + 3 = -5. Suppose -l + 0 = -g. Factor -y**2 + 0*y**l - 10*y**4 - 8*y**3 - 4*y**5 - y**2.
-2*y**2*(y + 1)**2*(2*y + 1)
Let w(v) be the second derivative of v**5/40 + v**4/24 - v**3/12 - v**2/4 - 7*v. Factor w(r).
(r - 1)*(r + 1)**2/2
Let k(t) be the second derivative of t**7/147 - 2*t**6/105 + t**4/21 - t**3/21 + 2*t. Suppose k(m) = 0. What is m?
-1, 0, 1
Let r(j) be the first derivative of -2*j**5/85 + 3*j**4/34 - 2*j**3/17 + j**2/17 - 6. Factor r(x).
-2*x*(x - 1)**3/17
Let l be 18/(-6) - (-8 - -1). Factor 2/5 + 9/5*h**2 - 7/5*h + 1/5*h**l - h**3.
(h - 2)*(h - 1)**3/5
Let r(a) be the first derivative of -a**6/3 - 2*a**5 - 5*a**4 - 20*a**3/3 - 5*a**2 - 2*a + 17. Factor r(y).
-2*(y + 1)**5
Let a = 68/5 + -64/5. Find t such that a - 2/5*t - 2/5*t**2 = 0.
-2, 1
Let u = 57/28 + -7/4. Factor -u*o**2 - 2/7 + 4/7*o.
-2*(o - 1)**2/7
Find c such that 7 + 12 + 24 - 59 + 4*c**3 + 12*c**2 = 0.
-2, 1
Let g = 1100/87 + 20/29. Find t, given that -g*t**2 - 2/3*t + 2/3 = 0.
-1/4, 1/5
Let f(k) = 5*k**2 + 3*k - 8. Let r(g) = 6*g**2 + 3*g - 9. Let o(i) = -5*f(i) + 4*r(i). Let x(w) = 2*w**2 + 5*w - 7. Let z(s) = -7*o(s) - 4*x(s). Factor z(v).
-v*(v - 1)
Let u(f) be the second derivative of 3/20*f**5 + 0 + 0*f**4 - 1/30*f**6 - 2/3*f**3 - 2*f + 0*f**2. Determine w so that u(w) = 0.
-1, 0, 2
Suppose -20*u = -15*u. Let j(a) be the third derivative of 0*a**4 + 1/60*a**6 - 1/30*a**5 + a**2 + 0*a + 0*a**3 + u + 1/105*a**7 - 1/168*a**8. Factor j(m).
-2*m**2*(m - 1)**2*(m + 1)
Let j(c) = 2*c - 8. Let f be j(5). Factor f*k - 12*k**3 + 0*k + 14*k**3 - 4*k**2.
2*k*(k - 1)**2
What is c in -5/3*c**3 - 23/3*c - 2 - 22/3*c**2 = 0?
-3, -1, -2/5
Let d(n) be the third derivative of n**5/180 - n**3/18 + 11*n**2. Find q, given that d(q) = 0.
-1, 1
Let s(o) be the third derivative of -o**5/12 - o**3/6 - 2*o**2. Let q(t) = t**2 + t + 1. Let u(w) = -2*q(w) - 2*s(w). Solve u(l) = 0.
0, 1/4
Factor -21*a**3 + 24 - 28*a**4 - 10*a**4 + 50*a**4 + 84*a - 54*a**2.
3*(a - 2)**2*(a + 2)*(4*a + 1)
Let w(d) be the second derivative of -d**7/63 + d**5/10 - d**4/9 + 7*d. Factor w(n).
-2*n**2*(n - 1)**2*(n + 2)/3
Factor 1 + f**3 - 3 - 76*f + 73*f.
(f - 2)*(f + 1)**2
Solve m**3 - 7/6*m**2 + 1/6*m**4 + 0 + 1/3*m - 1/3*m**5 = 0 for m.
-2, 0, 1/2, 1
Let i = 44 - 44. Let 2*y**2 - 2/3*y**3 - 4/3*y + i = 0. What is y?
0, 1, 2
Let g(a) be the third derivative of a**8/3840 + 13*a**7/5040 + a**6/144 - a**5/60 + 5*a**4/24 + 3*a**2. Let b(k) be the second derivative of g(k). Factor b(s).
(s + 2)**2*(7*s - 2)/4
Let g(s) be the third derivative of 0*s + 1/30*s**7 + 2*s**2 - 1/12*s**5 - 3/40*s**6 + 3/8*s**4 + 0 - 1/3*s**3. Factor g(j).
(j - 1)**2*(j + 1)*(7*j - 2)
Suppose -9*g = -10 - 17. Let r(u) be the second derivative of -1/9*u**g + 1/18*u**4 + 0 - 2/3*u**2 + u. Solve r(f) = 0.
-1, 2
Let k(r) = -2*r**2. Let g(m) = m + 6. Let h be g(-4). Let v be (-6)/(-2) + h + 0. Let s(d) = 3*d**2. Let w(j) = v*k(j) + 3*s(j). Factor w(i).
-i**2
Suppose f = -4*f. Let n = -3/13 - -19/26. Determine d, given that -n*d**3 + 0 + 0*d**2 + 1/2*d**4 + f*d = 0.
0, 1
Let g(o) be the third derivative of o**6/360 - o**5/20 + 5*o**4/24 + 25*o**3/18 + 10*o**2. Factor g(a).
(a - 5)**2*(a + 1)/3
Suppose 5*h = -5 - 30. Let j = h + 10. Determine d, given that -d**j + 2*d**2 - d + 3*d**3 + d = 0.
-1, 0
Find x such that -20*x - 13 - 4*x**2 + 4*x + 4 - 3 = 0.
-3, -1
Let s(m) = -m**3 + 7*m**2 - 5*m - 2. Let i be s(6). Suppose 8*q - i*q = 16. Solve -q*j**3 + 3*j**4 - 4*j**4 - j**2 + 2*j**3 = 0 for j.
-1, 0
Let z(l) be the third derivative of 4*l**7/105 - l**6/20 - l**5/30 - 5*l**2. Factor z(m).
2*m**2*(m - 1)*(4*m + 1)
Factor -2/9*h - 2/9*h**2 + 2/9*h**3 + 2/9.
2*(h - 1)**2*(h + 1)/9
Factor -3/5*k + 0 + 1/5*k**2.
k*(k - 3)/5
Let r(j) be the second derivative of 2*j**3 - 5*j**4 + 2*j**6 + 63/20*j**5 + 0 - 25/14*j**7 + 0*j**2 + 3*j. Find i such that r(i) = 0.
-1, 0, 2/5, 1
Let l be 7/2 - (18 + -15). Suppose -l*z - 1/2*z**2 + 0 = 0. What is z?
-1, 0
Let y(v) = -16*v**2 + 12*v + 16. Let j(s) = -s**2. Let q(f) = -36*j(f) + 2*y(f). Factor q(d).
4*(d + 2)*(d + 4)
Let g(r) be the second derivative of -r**6/420 - r**5/210 + r**4/42 + r**2 - 2*r. Let m(h) be the first derivative of g(h). Factor m(i).
-2*i*(i - 1)*(i + 2)/7
Let j(m) = -m**3 - 13*m**2 + 13*m - 11. Let t be j(-14). Suppose 0 = 6*y - t*y. Factor 0*h + 1/2*h**2 + y.
h**2/2
Let l(q) be the third derivative of -q**6/480 + q**5/240 + q**4/48 + 2*q**2. Solve l(v) = 0.
-1, 0, 2
Let m(a) = -2*a**4 + 9*a**3 - 18*a**2 + 5*a - 6. Let j(c) = 2*c**4 - 9*c**3 + 17*c**2 - 6*c + 5. Let d(q) = -4*j(q) - 3*m(q). Factor d(s).
-(s - 2)*(s - 1)**2*(2*s - 1)
Let r(v) be the second derivative of -675*v**7/28 + 39*v**6/2 + 261*v**5/40 - 101*v**4/12 - v**3/3 + 2*v**2 - v. What is z in r(z) = 0?
-1/3, -2/9, 1/3, 2/5
Suppose -2*y + 12 = 2*y. Factor -14*p**2 - y*p + 5*p + 12*p**2.
-2*p*(p - 1)
Let m(k) be the second derivative of k**7/840 + k**6/240 - k**4/48 - k**3/24 + 3*k**2 - 2*k. Let g(d) be the first derivative of m(d). What is t in g(t) = 0?
-1, 1
Let o(n) be the third derivative of -n**8/294 - n**7/147 - n**6/420 + 8*n**2. Determine p so that o(p) = 0.
-1, -1/4, 0
Let d(w) be the third derivative of -w**10/120960 + w**8/13440 - w**6/2880 - w**4/24 + 3*w**2. Let a(p) be the second derivative of d(p). Factor a(c).
-c*(c - 1)**2*(c + 1)**2/4
Let n(v) = v**4 + 4*v**3 + 13*v**2 + 14*v + 4. Let c(j) = -j**3 + j. Let h(x) = -2*c(x) + n(x). Factor h(q).
(q + 1)**2*(q + 2)**2
Suppose -25*j + 42 = -8. Find n, given that -1/5*n**3 + 4/5*n**4 + 0 + 1/5*n - 4/5*n**j = 0.
-1, 0, 1/4, 1
Let p(w) be the second derivative of w**4/16 + w**3/8 - 3*w**2/4 + 14*w. Factor p(i).
3*(i - 1)*(i + 2)/4
Let z = 10 - 4. Let k = 6 - z. Factor k + 4/5*f + 2/5*f**2.
2*f*(f + 2)/5
Suppose 2*a - 2 = -0. Let h(p) = -p**3 + p**2. Let t be h(a). Find f such that t - 1/2*f**3 + 0*f + 0*f**4 + 0*f**2 + 1/2*f**5 = 0.
-1, 0, 1
Suppose 24*s + 23 = 71. Solve 4/9*y**s + 2/9 - 2/3*y = 0.
1/2, 1
Let v(z) = 3*z**2 + 3*z - 2. Let s(n) = -13 + 4*n + 4*n**2 + 6 + 4. Let d(g) = -2*s(g) + 3*v(g). Factor d(h).
h*(h + 1)
Suppose 4*u + 2*n = 252, 5*u - 260 = u + 2*n. Let q be -3 - (u/(-12) - -2). Factor 1/3*f**2 - 2/3 + q*f.
(f - 1)*(f + 2)/3
Let g be -2*1 - 3149/(-1413). Let d = g + -1/157. Solve 0 - 2/3*t**2 + d*t - 2/9*t**4 + 2/3*t**3 = 0 for t.
0, 1
Let i(t) = -3*t**5 + 4*t**4 + t**3 - 8*t**2 + 7*t + 9. Let b(x) = -x**5 + x**3 + x + 1. Let j(h) = -5*b(h) + i(h). Solve j(g) = 0.
-2, -1, 1
Let f = 34/5 - 6. Find l, given that -f*l**2 + 0 - 2/5*l**3 + 0*l = 0.
-2, 0
Let t(o) = -o**2 - 8*o - 7. Let f be t(-7). Let l be -1 + 1 - -2 - f. Let -6*v**3 + 0*v**3 - 6*v**4 - 2*v**5 - 3*v**2 + v**l = 0. Calculate v.
-1, 0
Let p = -2 - -5. Factor -5*k - 2*k + 8*k**2 + 21*k**p - 23*k**2 + k.
3*k*(k - 1)*(7*k + 2)
Let y(b) be the third derivative of b**7/50 - 23*b**6/200 + 27*b**5/100 - 13*b**4/40 + b**3/5 + 19*b**2. Solve y(c) = 0.
2/7, 1
Factor 0 + 1/3*t**3 + 4/3*t**2 + 0*t.
t**2*(t + 4)/3
Suppose 6*k - k = 0. Suppose -v + 4 = -k*v. Factor -f**3 + v*f**2 + 2*f**3 - 2*f**2.
f**2*(f + 2)
Let f(s) = 16*s**3 - 50*s**2 + 182*s - 192. Let p(o) = -5*o**3 + 17*o**2 - 61*o + 64. Let a(l) = 3*f(l) + 10*p(l). Find m, given that a(m) = 0.
2, 4
Let f(g) = 2*g**3 - 5*g**2 - g - 4. Let x be f(3). Factor -9*y**2 + 6*y**4 - y + y**x + 2*y**2 - 11*y**3 + 3*y**3 + 9*y**5.
y*(y - 1)*(y + 1)*(3*y + 1)**2
Let b(n) be the first derivative of -2 - 4/11*n**2 + 8/11*n - 2/11*n**3 + 1/11*n**4 + 2/55*n**5. Determine m, given that b(m) = 0.
-2, 1
Let h(t) be the second derivative of t**6/150 + t**5/100 - t**4/120 - t**2/2 + 2*t. Let l(o) be the first derivative of h(o). Solve l(s) = 0 for s.
-1, 0, 1/4
Find h, given that 2/9 - 2/9*h**3 + 2/9*h - 2/9*h**2 = 0.
-1, 1
Let p = 8 + 0. Let v be (-63)/84*p/(-3). Factor 1/3*q + 0 - 1/6*q**v.
-q*(q - 2)/6
Let b(k) be the first derivative of -3/2*k**2 - 3*k**3 + 3/4*k**4 + 6*k + 9 + 3/5*k**5. Factor b(s).
3*(s - 1)**2*(s + 1)*(s + 2)
Let x(y) be the first der