. Find z, given that q(z) = 0.
-3, 0
Suppose w + 7 = 3*q, -5*q - 2*w - 2 + 21 = 0. Factor -v**2 + 2*v**q + v**3 - 2*v**3.
v**2*(v - 1)
Let k be 2/((-15)/(-9) - 1). Suppose -4*i + 5 = f, -k*i + 3*f - 9 = 8*f. Factor -3*a**2 - a**2 + a**i.
-3*a**2
Let d(x) = 5*x + 1. Let w be d(1). Suppose w + 0 = q. Factor -5*v**2 + v + 3*v - q*v.
-v*(5*v + 2)
Let l(m) be the first derivative of -2*m**3/39 + 9*m**2/13 - 16*m/13 - 29. Factor l(f).
-2*(f - 8)*(f - 1)/13
Let s(l) = l**4 + 0*l**3 + 0*l**3 - l + 2*l**2 - 2*l**4. Let x(w) = w**3 - w**2. Let o(m) = -s(m) - x(m). Factor o(y).
y*(y - 1)**2*(y + 1)
Let f(g) = 21*g**3 + g**2 + 2*g. Let i be f(-1). Let b be 1 - i/(-10) - -2. Suppose -6*m**3 - 37/5*m**2 - 9/5*m**4 - b - 4*m = 0. Calculate m.
-1, -2/3
Let q be -1*1 - 6/6. Let m be (-8 + q)/((-2)/1). Find f, given that -3*f**3 + f**4 + 5*f**4 - 3*f**3 - 2*f**m + 2*f**2 = 0.
0, 1
Let j(w) be the third derivative of -w**6/80 + w**5/20 - 17*w**2. Factor j(f).
-3*f**2*(f - 2)/2
Let s(g) be the first derivative of 3*g**8/1400 - g**7/700 - g**6/180 - g**5/300 + g**3 - 2. Let q(c) be the third derivative of s(c). Factor q(o).
2*o*(o - 1)*(3*o + 1)**2/5
Let b(a) be the first derivative of a**6/90 + a**5/30 + a**4/36 - 2*a - 4. Let d(n) be the first derivative of b(n). Determine q, given that d(q) = 0.
-1, 0
Let z = 63 + -63. Factor 0 + z*t**2 + 2/3*t**3 + 0*t.
2*t**3/3
Suppose -5 = 2*y + 5*c, c = -y - 2*c - 3. Let q(d) be the third derivative of -1/60*d**5 + 0*d**3 + y - 1/24*d**4 + d**2 + 0*d. Factor q(a).
-a*(a + 1)
Let r(z) be the second derivative of -z**5/10 - z**4/3 - z**3/3 - 7*z. Factor r(q).
-2*q*(q + 1)**2
Let j(r) = 26*r**4 + 18*r**3 + 17*r**2 - 17*r. Let o(s) = 9*s**4 + 6*s**3 + 6*s**2 - 6*s. Let g(h) = 6*j(h) - 17*o(h). Solve g(k) = 0.
-2, 0
Let g(l) be the second derivative of 3*l**5/80 - 3*l**3/8 + 3*l**2/4 + 6*l. Solve g(k) = 0.
-2, 1
Let c be (-12)/42 - (-23)/7. Factor h**c + 1/2 + 2*h + 5/2*h**2.
(h + 1)**2*(2*h + 1)/2
Suppose -36 + 3*a + 9*a - 3*a**2 + 2*a**2 = 0. Calculate a.
6
Let p(d) = -d**3 + d**2. Let f(t) = -24*t**3 + 84*t**2 - 52*t + 8. Let g(q) = f(q) + 12*p(q). Find w, given that g(w) = 0.
1/3, 2
Suppose -3*y = -2*y - 4. Let n = 6 - y. Factor 0*u**2 + 6*u**3 + 4*u - 3*u**n + 13*u**2.
2*u*(u + 1)*(3*u + 2)
Let m be (-2 + (5 - 3))/(-1). Find n such that m*n - 4*n + 4*n**2 + 0*n - 2*n**2 = 0.
0, 2
Let g be (4 - -3 - 3)*1. Suppose 3 + 15*w**3 - g*w**3 - 21*w**2 - 2*w**3 + 9 = 0. What is w?
-2/3, 1, 2
Let l(t) = -3*t**2 - 1. Let w(u) = 4*u**2 + u + 1. Let h(m) = -3*l(m) - 2*w(m). Solve h(p) = 0 for p.
1
Factor 21*o**2 + 16*o**3 + 8*o - 6*o**2 - 5*o**4 + o**4 - 35*o**2.
-4*o*(o - 2)*(o - 1)**2
Let m(x) be the second derivative of -x**4/4 + 4*x**3 - 24*x**2 + 3*x. Let m(t) = 0. Calculate t.
4
Let n(w) be the first derivative of -w**3 - 2 + 9/8*w**4 + 0*w**2 + 3/5*w**5 + 0*w. Determine f, given that n(f) = 0.
-2, 0, 1/2
Let o = -10/9 + 16/9. Find u such that -1/3 + 2/3*u - o*u**3 + 1/3*u**2 = 0.
-1, 1/2, 1
Let x = -2/3 + 16/15. Let g(n) = -n**2 + 14*n. Let w be g(14). Factor 0 + 4/5*b**3 + w*b + x*b**4 + 0*b**2.
2*b**3*(b + 2)/5
Let l(d) be the second derivative of -d**7/147 + d**6/35 + d**5/70 - d**4/6 + 4*d**2/7 - 29*d. Solve l(p) = 0 for p.
-1, 1, 2
Let 1 - 2*l**3 + 4 + 5*l - 23*l - 12*l**2 - 13 = 0. Calculate l.
-4, -1
Let g(a) be the third derivative of 0*a + 1/2*a**4 - 2*a**3 + 0 - 1/20*a**5 - 6*a**2. Factor g(l).
-3*(l - 2)**2
Let d(o) be the third derivative of -o**5/540 - o**4/216 - 14*o**2. Suppose d(c) = 0. Calculate c.
-1, 0
Let f(u) be the third derivative of -u**6/30 - u**5/10 + 5*u**3/6 + 5*u**2. Let b(h) = h**3 + h**2 - 1. Let d(n) = 5*b(n) + f(n). Solve d(w) = 0.
0, 1
Let z = -1/388 - 1159/1940. Let v = z - -11/10. Find f, given that -3/2*f - f**2 + 3/2*f**4 + f**3 + 1/2*f**5 - v = 0.
-1, 1
Let b be (27/(-4) - -6)*-4. Factor 4/3*p - 5/6*p**2 + 1/6*p**b - 2/3.
(p - 2)**2*(p - 1)/6
Let p(d) be the third derivative of d**8/588 + 2*d**7/245 - 4*d**5/105 - 15*d**2. Find c such that p(c) = 0.
-2, 0, 1
Let m be ((-7)/7)/((-1)/2). Factor 6/5 + 21/5*x + 3*x**m.
3*(x + 1)*(5*x + 2)/5
Factor 17 - 45 - 2*j**2 + 20 + 8*j.
-2*(j - 2)**2
Let t(x) be the second derivative of -x**6/15 + x**5/5 - 2*x**3/3 + x**2 + 6*x. Suppose t(n) = 0. Calculate n.
-1, 1
Factor -4*a**4 + 0*a**4 + 4*a**3 + 3*a**2 - 3*a**2.
-4*a**3*(a - 1)
Let g(s) = s + 3. Let q be g(-3). Suppose -a + 2 + 3 = q. Let -2/5*m**4 - 2/5 - 3/5*m**a + 2*m**3 + 12/5*m**2 + 1/5*m = 0. What is m?
-1, 1/3, 2
Let g(r) = 2*r**2 + r + 9. Let x(t) = -2*t**2 - 10. Let f(q) = 6*g(q) + 5*x(q). Let y(j) = j**2 + 3*j + 2. Let m(d) = -2*f(d) + 5*y(d). Factor m(v).
(v + 1)*(v + 2)
Let n be 2/13 + 9/26. Let k(g) be the first derivative of -n*g**2 + 0*g + 1 - 1/3*g**3. Factor k(y).
-y*(y + 1)
Let b(v) be the second derivative of 0*v**2 + 2/3*v**3 + 8/5*v**5 + 11/6*v**4 + 0 + 7/15*v**6 + 3*v. Determine r, given that b(r) = 0.
-1, -2/7, 0
Let n(o) be the second derivative of o**7/357 - 11*o**6/255 + 4*o**5/17 - 22*o**4/51 - 32*o**3/51 + 64*o**2/17 + 8*o. Find s such that n(s) = 0.
-1, 2, 4
Let v(j) be the third derivative of j**10/151200 + j**5/30 - j**2. Let w(d) be the third derivative of v(d). Factor w(g).
g**4
Let o(n) be the third derivative of 1/84*n**4 - 1/210*n**5 - n**2 + 0*n + 0 + 0*n**3. Factor o(t).
-2*t*(t - 1)/7
Let t be 4 - (-2 - -7)/5. Factor 2/5 + 0*k**2 + 1/5*k**t - 3/5*k.
(k - 1)**2*(k + 2)/5
Let f = -18 + 8. Let s = f - -31/3. Solve -1/3*v**4 + 0*v + 0 + 2/3*v**3 - s*v**2 = 0.
0, 1
Let j(l) = 11*l - 3. Let i(s) = 4*s**3 + s**2. Let g be i(1). Let b be j(g). Factor -470*o**3 + 290*o**2 + 230*o**4 - 80*o - 46*o**5 - b*o**5 + 120*o**4 + 8.
-2*(o - 1)**3*(7*o - 2)**2
Let q(i) be the first derivative of 0*i**3 + 0*i**2 + 0*i**4 + 1/5*i**5 + 0*i - 2. Factor q(c).
c**4
Factor -11*q**3 - 3*q + 100*q**2 - 9*q**3 - 82*q**2 - 7*q**3 + 12*q**4.
3*q*(q - 1)**2*(4*q - 1)
Factor -18*v**3 + 9*v**2 + 15*v**2 - 19 - 8*v + 19.
-2*v*(3*v - 2)**2
Let u(q) be the first derivative of -2/5*q + 1/2*q**2 + 1/20*q**4 - 4/15*q**3 - 2. Find c such that u(c) = 0.
1, 2
Let y be (-2)/9 - 87/(-27). Let f(r) = -r**2 + 5*r - 4. Let u be f(y). Determine q so that -40*q**u - 3 + 5 + 60*q**4 - 17*q - q**3 - 4 = 0.
-2/5, -1/3, -1/4, 1
Factor -g - 1/4*g**5 + 0 - 15/4*g**3 - 13/4*g**2 - 7/4*g**4.
-g*(g + 1)**3*(g + 4)/4
Suppose 26 - 214 = -4*g + 4*j, -96 = -2*g + 3*j. Let x be g/(-6)*(-4)/6. Factor 2 - p + 2*p**3 + p**4 + p**5 - 1 - 2*p**x - 2*p**2.
-(p - 1)**3*(p + 1)**2
Let r(z) be the first derivative of -4*z**4/3 + 2*z**3/3 - z**2/8 - 3*z - 2. Let p(d) be the first derivative of r(d). Solve p(a) = 0 for a.
1/8
Let m(k) be the third derivative of 1/280*k**7 + 0*k**6 + 0*k**4 + 0*k**3 + 0*k - 2*k**2 - 1/80*k**5 + 0. Factor m(g).
3*g**2*(g - 1)*(g + 1)/4
Let w(r) be the third derivative of -r**9/8820 - r**8/2352 - r**7/4410 + r**6/1260 - r**4/8 - 6*r**2. Let f(g) be the second derivative of w(g). Solve f(s) = 0.
-1, 0, 1/3
Suppose -o + q + 1 + 0 = 0, 4*o = 2*q + 8. Let -3/2*l**2 + 0 + o*l = 0. Calculate l.
0, 2
Let g(w) = 14*w**2 - 20*w - 8. Let a(p) = -5*p**2 + 7*p + 3. Let s(f) = -8*a(f) - 3*g(f). Factor s(m).
-2*m*(m - 2)
Factor -1/4*s + 0 + 0*s**2 + 1/4*s**3.
s*(s - 1)*(s + 1)/4
Let k(b) = b**4 - 8*b**3 - 10*b**2 - 4*b. Let m(h) be the third derivative of h**6/15 + h**5/6 + h**4/6 - 2*h**2. Let x(q) = 2*k(q) + 3*m(q). Solve x(s) = 0.
-2, -1, 0
Let g(n) be the first derivative of -2/5*n**3 + 0*n**4 + 1 + 0*n + 2/5*n**2 + 2/25*n**5. Let g(x) = 0. What is x?
-2, 0, 1
Let q(h) = 11*h + 1. Let o be q(-2). Let i be (o/60)/((-4)/16). Factor i*p**4 + 0 - 2/5*p**3 + 2/5*p - 7/5*p**2.
p*(p - 1)*(p + 1)*(7*p - 2)/5
Let v(y) = -7*y**2 - 5*y - 3. Suppose -4*j - 26 = 2*w, 2 - 8 = 2*w. Let m(s) = 6*s**2 + 4*s + 2. Let l(d) = j*m(d) - 4*v(d). Let l(x) = 0. What is x?
-1, 1
Let r = 20/49 + 8/49. Find z such that -4/7*z + r*z**3 - 10/7*z**4 + 10/7*z**2 + 0 = 0.
-1, 0, 2/5, 1
Let d be 6/(-3 + 2 - -3). Suppose 2*m**3 + d*m + 16*m - 3*m - 10*m**2 - 3 - 5 = 0. What is m?
1, 2
Let o(u) be the second derivative of 4*u**6/105 - u**5/7 + 10*u**3/21 - 4*u**2/7 + 20*u. Find y, given that o(y) = 0.
-1, 1/2, 1, 2
Let h(t) be the second derivative of t**6/45 - t**5/30 - t**4/9 - 4*t. What is o in h(o) = 0?
-1, 0, 2
Let t(r) be the first derivative