 t(v) = 0. Calculate v.
-1/4, 0
Let x(m) = -6*m**2 + m. Let d be x(1). Let h(w) = w**3 - 8*w**2 + 5*w - 4. Let b(o) = 8*o**2 - 4*o + 3. Let f(v) = d*h(v) - 6*b(v). Factor f(c).
-(c + 1)**2*(5*c - 2)
Let a(i) be the first derivative of 4*i**3/3 + 4*i**2 - 5. Find z, given that a(z) = 0.
-2, 0
Let t(r) be the first derivative of -1/12*r**4 + 4 + 0*r - 1/3*r**3 - 1/3*r**2. Determine f, given that t(f) = 0.
-2, -1, 0
Suppose 4*k - 2*t - 1 = 17, 0 = -5*k - t + 5. Factor -z - 2*z - z**k + 2*z - 1 - z.
-(z + 1)**2
Let u(r) be the first derivative of r**6/16 - r**5/5 + 3*r**4/16 - r**2/16 - 14. Let u(d) = 0. What is d?
-1/3, 0, 1
Let i(j) be the second derivative of -j**6/540 - j**5/180 - j**3/6 - j. Let u(v) be the second derivative of i(v). Find t such that u(t) = 0.
-1, 0
Let z be 60/(-45)*(-6)/4. Factor -1/2*v**z + 1/2 + 0*v.
-(v - 1)*(v + 1)/2
Let u(d) = -18*d**3 - 142*d**2 - 247*d + 2. Let w(c) = 35*c**3 + 285*c**2 + 495*c - 5. Let g(o) = -5*u(o) - 2*w(o). Suppose g(m) = 0. What is m?
-7/2, 0
Suppose 2*b = 7*b + 2*v + 2, -3*v = -b + 3. Determine m, given that 0 + 4/3*m**3 - 2/3*m**4 + b*m - 2/3*m**2 = 0.
0, 1
Suppose 2/5 - 2/5*l**2 + 0*l = 0. Calculate l.
-1, 1
Let w be 1 + -1 + -7 + (2 - -5). Let y(x) be the first derivative of 3 - 1/20*x**5 + 1/12*x**3 + 0*x**4 + 0*x + w*x**2. Factor y(z).
-z**2*(z - 1)*(z + 1)/4
Let b(j) be the first derivative of 4*j**5/5 - 2*j**4 + 4*j**2 - 4*j + 8. Suppose b(v) = 0. What is v?
-1, 1
Let a(v) = 9*v**2 - 21*v + 31. Let d(g) = 5*g**2 - 11*g + 16. Let i(c) = -4*a(c) + 7*d(c). Factor i(s).
-(s - 4)*(s - 3)
Let g = 35 - 35. Factor 2/9*s**3 - 2/3*s + g*s**2 - 4/9.
2*(s - 2)*(s + 1)**2/9
Let l(v) be the third derivative of -v**8/1344 + v**7/840 + v**6/240 + 9*v**2. Factor l(b).
-b**3*(b - 2)*(b + 1)/4
Find b such that 27*b**2 + 6 - 15*b**3 + 3*b**4 - 2*b**4 + 2*b**4 - 21*b = 0.
1, 2
Determine r, given that 3/2*r**5 + 4*r**3 + 2/3*r**2 + 0*r + 0 + 29/6*r**4 = 0.
-2, -1, -2/9, 0
Let x(h) = -36*h**2 + 8*h + 28. Let v(o) = -4*o**2 + o + 3. Let j(r) = 28*v(r) - 3*x(r). Find q, given that j(q) = 0.
0, 1
Let c be ((-292)/5)/(14/7). Let t = 30 + c. What is w in 2/5*w**2 + 2*w**4 + 0*w + t*w**5 + 0 + 8/5*w**3 = 0?
-1, -1/2, 0
Suppose -5*i - 12 = -8*i. Suppose -16 = -3*l + 2*o, -2*l - 14 = l + i*o. Factor -j**2 - 4*j + 3*j + 2*j**l.
j*(j - 1)
Factor -3*c**3 - 176 + 254 + 75*c - 33*c**2 - 117.
-3*(c - 1)**2*(c + 13)
Suppose -y + 260 = 257. Factor 9/4*c**2 - y*c**3 + 3/4*c**4 + 0 + 0*c.
3*c**2*(c - 3)*(c - 1)/4
Let w = -197107/90 - -11009/5. Let f = w + -23/2. Find u such that -f*u**2 + 0 - 2/9*u = 0.
-1, 0
Let h(y) be the first derivative of y**4/18 - 4*y**3/27 - 26. Solve h(u) = 0.
0, 2
Let g be 834/24 + (-1)/(-4). Factor g - 35 - z**2 + 2*z.
-z*(z - 2)
Let k(c) = -4*c**3 - 9*c - 10. Let y be k(-1). Find s such that 4/7*s**2 + 2/7*s**5 - 6/7*s - 6/7*s**4 + 2/7 + 4/7*s**y = 0.
-1, 1
Suppose -4*s - 5*l + 21 = 0, -4*l + 2*l + 14 = 3*s. Factor 0*h**4 - h**3 - h**s + 0*h**4.
-h**3*(h + 1)
Let j(k) = -5*k**2 + 15*k + 18. Let c(d) = 5*d**2 - 15*d - 17. Let q(h) = 2*c(h) + 3*j(h). Determine l so that q(l) = 0.
-1, 4
Find f such that 4 + 23*f**2 + 25*f**2 + 23 + 55*f + 17*f = 0.
-3/4
Let r(g) = -g + 13. Let i be r(8). Suppose 0 = 2*a - z - 6, a - i + 2 = -3*z. Determine m so that m**a + 1/2*m**2 + 0 + 1/2*m**4 + 0*m = 0.
-1, 0
Suppose 7 + 8 = 3*d. Factor -b**5 + b**d + 4*b**3 - 4*b**5.
-4*b**3*(b - 1)*(b + 1)
Let r = 1 + 2. Let h be (-5 + r)*(-1 + -1). Factor -3*a**2 + 4 + h*a + 5*a**2 - a**2.
(a + 2)**2
Let r(x) = -2*x**2 - 7*x - 1. Let f be r(-3). Let t(m) be the third derivative of 1/120*m**4 + 0 - m**f - 1/100*m**5 + 0*m**3 + 0*m. Solve t(v) = 0 for v.
0, 1/3
Solve 162/5 + 2/5*m**2 + 36/5*m = 0 for m.
-9
What is z in -1/2*z**3 + 0 + 0*z - z**2 = 0?
-2, 0
Let h(y) be the first derivative of 4*y**5/5 - 3*y**4 + 4*y**3 - 2*y**2 - 9. Determine t, given that h(t) = 0.
0, 1
Let v(t) be the third derivative of -t**5/120 - 5*t**4/48 - t**3/2 + 13*t**2. Factor v(g).
-(g + 2)*(g + 3)/2
Let l(o) be the third derivative of 0 + 3*o**2 - 1/28*o**4 - 2/21*o**3 + 0*o - 1/210*o**5. Factor l(a).
-2*(a + 1)*(a + 2)/7
Let q(c) = -c. Let w be q(-7). Suppose 5*v - 3 = w. Factor 2/5 + 2/5*l - 2/5*l**3 - 2/5*l**v.
-2*(l - 1)*(l + 1)**2/5
Suppose -4*u + 17 = 5. Let m be (12/(-9) - 0)/(14/(-9)). Let 0 + 10/7*c**u + 2/7*c**4 - m*c**5 - 2/7*c**2 - 4/7*c = 0. Calculate c.
-1, -2/3, 0, 1
Let c be 1/4 - (-2)/8. Let v be (0/5)/(4/2). What is k in c*k**2 + v + k = 0?
-2, 0
Suppose 5*k = -o + 2*o - 13, 3*o = -5*k - 1. Find x, given that 1 + 7*x**o + 14*x**2 - 12*x**4 + x**3 + 3*x - 7*x**5 - 3 - 4*x**3 = 0.
-1, 2/7, 1
Suppose -2*k + 4*k - 10 = 0. Let v(u) be the second derivative of 0 + u + 1/21*u**3 - 1/70*u**k + 0*u**2 - 1/42*u**4 + 1/105*u**6. Let v(h) = 0. Calculate h.
-1, 0, 1
Let u(f) be the first derivative of f**9/4536 - f**7/1260 + f**3/3 - 3. Let m(p) be the third derivative of u(p). Suppose m(k) = 0. What is k?
-1, 0, 1
Let o(m) = -5*m**3 + 19*m**2 - 11*m + 5. Let p(v) = 5*v**3 - 20*v**2 + 10*v - 5. Let z(q) = -5*o(q) - 4*p(q). Solve z(t) = 0 for t.
1
Suppose 0*x = 3*x - 6. Suppose -1/2 + 0*a + 1/2*a**x = 0. What is a?
-1, 1
Let i be ((-8)/(-3))/(-2)*-15. Let l(r) = 25*r**2 - 8*r - 4. Let t(q) = -4*q**2. Let m(w) = i*t(w) + 4*l(w). Let m(y) = 0. What is y?
-2/5, 2
Suppose 2*f = 7 + 3. Let q = f - 2. Find n, given that 0*n**2 - 3*n**4 + 6*n**q - 4*n**2 + 27*n**4 + 14*n**5 = 0.
-1, 0, 2/7
Let u be (-3)/6*12/(-9). Factor -4/3 + u*f**3 + 4/3*f**2 - 2/3*f.
2*(f - 1)*(f + 1)*(f + 2)/3
Let z = 19/6 + -5/3. Let x = 6/7 + -3/28. Factor x*o**2 - z - 3/4*o.
3*(o - 2)*(o + 1)/4
Let j(n) be the second derivative of 1/9*n**3 + 2/3*n**2 + n - 1/18*n**4 + 0. Find v such that j(v) = 0.
-1, 2
Let j be -1 + (36/8 - (2 - 0)). Let j + 9/4*z - 27/4*z**2 = 0. Calculate z.
-1/3, 2/3
Let m(x) = -x**3 - x**2 - x + 1. Let b(z) = -8*z**3 - 4*z**2 - 10*z + 2. Let w(h) = -b(h) + 10*m(h). Factor w(p).
-2*(p - 1)*(p + 2)**2
Factor -686/3*w**5 + 0 + 656/3*w**2 + 728*w**3 + 2156/3*w**4 + 64/3*w.
-2*w*(w - 4)*(7*w + 2)**3/3
Suppose x = -2*x - 3*x. Let i(k) be the second derivative of k**2 - 1/6*k**3 + x - 2*k - 1/12*k**4. What is t in i(t) = 0?
-2, 1
Let f(r) be the first derivative of 0*r + 0*r**2 + 4 - 1/8*r**4 - 1/2*r**3. Find h such that f(h) = 0.
-3, 0
Let m(q) = 1000*q**3 - 600*q**2 + 81*q - 9. Let x(u) = 500*u**3 - 300*u**2 + 41*u - 4. Let j(o) = 4*m(o) - 9*x(o). Factor j(f).
-5*f*(10*f - 3)**2
Let d = -7 - -5. Let z = d + 2. Solve z*a + 3*a**2 - 4*a**2 + 2*a**2 + 2*a + 1 = 0 for a.
-1
Let g(i) be the first derivative of 1/6*i**2 + 1/18*i**3 - 3 + 0*i. Factor g(l).
l*(l + 2)/6
Suppose 9*b + 8*b + 3*b**4 - 11*b - 3*b**2 - 6*b**3 = 0. What is b?
-1, 0, 1, 2
Suppose 0*k + 20 = 5*k. Suppose -k*p = -p. Factor p*n + 1/5*n**3 + 4/5 - 3/5*n**2.
(n - 2)**2*(n + 1)/5
Suppose 3*i - 4*o - 38 = 0, -3*i - 4*o + 42 = 2*i. Suppose -5*p = -0*p - i. Suppose -3*b**2 + 3*b**2 - 4*b - 2*b**p = 0. What is b?
-2, 0
Suppose 9 = 5*x - 1. Let o(y) = y + 1. Let z be o(x). Factor -10*p**5 - 18*p**4 + 0 + 0*p - 8/5*p**2 - 48/5*p**z.
-2*p**2*(p + 1)*(5*p + 2)**2/5
Let h = -167/2 + 85. What is s in 3/2*s**2 + h - 3*s = 0?
1
Let w = -11 - -13. Find j such that 4*j**w - 4*j**4 - 39*j**3 + 0 + 51*j**3 + 0 - 8*j - 4*j**5 = 0.
-2, -1, 0, 1
Let w(f) be the first derivative of -f**4/24 + f**3/3 - f**2 - 5*f - 1. Let y(b) be the first derivative of w(b). Suppose y(v) = 0. Calculate v.
2
What is m in -1/2*m**4 + 1/4*m**3 + 0 + 0*m + 1/4*m**5 + 0*m**2 = 0?
0, 1
Let a(d) be the third derivative of -d**5/160 + 3*d**4/64 - d**3/8 - 3*d**2. Let a(b) = 0. What is b?
1, 2
Let f(k) be the first derivative of k**6/18 + k**5/15 - k**4/2 + 2*k**3/9 + 5*k**2/6 - k - 17. Solve f(g) = 0 for g.
-3, -1, 1
Let m(y) be the first derivative of y**4/48 + y**3/6 + y**2/2 + y + 3. Let g(h) be the first derivative of m(h). Solve g(n) = 0 for n.
-2
Let j(m) = 6*m**2 - 2*m. Let c(d) = -d**3 - d**2. Let r(u) = -2*c(u) - j(u). Factor r(i).
2*i*(i - 1)**2
Let o(x) be the second derivative of -x**8/40320 + x**7/5040 - x**6/1440 + x**5/720 - x**4/6 - 2*x. Let y(u) be the third derivative of o(u). Factor y(s).
-(s - 1)**3/6
Let k be (-2 - 0) + 1014/504. Let v(x) be the second derivative of 0 - 1/12*x**4 + 1/60*x**6 + 1/4*x**2 + 1/20*x**5 - x - 