irst derivative of p(c). Factor y(w).
(w - 1)**2*(4*w + 1)**2/4
Solve 2/11*w**4 + 16/11*w**2 + 10/11*w**3 + 0 + 8/11*w = 0.
-2, -1, 0
Suppose 0 = 2*x + 3*x - 10. Find v, given that -7*v**x + 12*v + 10*v**2 + 17 - 5 = 0.
-2
Suppose 0*o - 32 = -4*o. Let f be 26/o - (0 + 3). Let -f*m**4 + 0 + 1/4*m**2 + 0*m - 1/4*m**5 + 1/4*m**3 = 0. What is m?
-1, 0, 1
Let t = 466/3 - 154. What is y in 2/3*y - 2/3*y**3 - 4/3*y**2 + t = 0?
-2, -1, 1
Suppose v = -2 - 0. Let s be 13/18 + v/4. Factor -s*p + 4/9 - 2/9*p**2.
-2*(p - 1)*(p + 2)/9
Let z be 15/9*(-45)/(-3). Suppose 4*y - 9*y**5 + 8/5 - z*y**3 - 74/5*y**2 + 168/5*y**4 = 0. Calculate y.
-1/3, 2/5, 2
Suppose -2*m - 3 = -3*s + 4*s, -3*s = m - 6. Let s*t - 3/2 + 21/2*t**2 + 6*t**3 = 0. What is t?
-1, 1/4
Let b(y) = 6*y**3 - 6*y**2 + 6*y. Let h(j) = -7*j**3 + 5*j**2 - 5*j - 1. Suppose -5*w = u - 2*u - 15, -20 = -4*u. Let d(a) = w*b(a) + 3*h(a). Factor d(c).
3*(c - 1)**3
Let p(v) be the first derivative of v**7/420 - v**6/90 + v**5/60 + 4*v**3/3 - 3. Let j(f) be the third derivative of p(f). Factor j(c).
2*c*(c - 1)**2
Let b(r) be the second derivative of -r**7/1260 - r**6/360 + r**5/30 + r**4/12 - 2*r. Let x(o) be the third derivative of b(o). Factor x(n).
-2*(n - 1)*(n + 2)
Let z(w) be the third derivative of w**7/420 + w**6/180 - w**5/72 - w**4/72 + 4*w**2. Solve z(y) = 0.
-2, -1/3, 0, 1
Let g(v) be the second derivative of v**6/70 - v**4/28 + 10*v. Determine j so that g(j) = 0.
-1, 0, 1
Let y(g) = -2*g**2 + 2*g - 3. Let b be y(3). Let k be 6/b + (-2)/(-5). Suppose -2*c**4 + k*c**2 - 3*c**3 + 5*c**4 - 3*c**2 + 3*c = 0. What is c?
-1, 0, 1
Let r = 51 - 101/2. Let r - o + 1/2*o**2 = 0. What is o?
1
Let i(l) be the second derivative of l**5/130 - l**3/13 + 2*l**2/13 - 25*l. Factor i(q).
2*(q - 1)**2*(q + 2)/13
Let n(g) be the second derivative of -g**6/50 - 6*g**5/25 + 19*g**4/20 - g**3 - 2*g. Factor n(i).
-3*i*(i - 1)**2*(i + 10)/5
Suppose 144 - 169 = -3*h - 5*y, -y + 5 = 4*h. Let 12/7*q**2 + 4/7*q + 8/7*q**3 + h = 0. What is q?
-1, -1/2, 0
Let j be 4 - (-4)/8 - 4. Suppose 2*c + 1/2 + 2*c**3 + 3*c**2 + j*c**4 = 0. Calculate c.
-1
Let x(z) be the second derivative of -z**6/165 - 5*z**5/22 - 36*z**4/11 - 64*z**3/3 - 512*z**2/11 + 10*z. Find l such that x(l) = 0.
-8, -1
Let j = 7 - 12. Let n = j - -7. Factor n*l**2 - 1 + 1.
2*l**2
Factor -1/6*d**2 - 1/3 + 1/2*d.
-(d - 2)*(d - 1)/6
Let v be 1 - (3 - 9/((-9)/(-4))). Let 2/3*x**v + 2*x**4 + 0*x - 2*x**3 - 2/3*x**5 + 0 = 0. Calculate x.
0, 1
Let n(i) be the third derivative of -i**7/1260 + 5*i**3/6 + 4*i**2. Let t(b) be the first derivative of n(b). Determine g, given that t(g) = 0.
0
Suppose 5*c - 3*c = 0. Factor 2*u**2 + c*u**3 + 4*u**3 - u**4 + u**3 - u - 1 - 3*u**3 - u**5.
-(u - 1)**2*(u + 1)**3
Let y(t) be the second derivative of -t**7/420 - t**6/90 - t**5/60 - t**3/2 - 2*t. Let w(g) be the second derivative of y(g). Factor w(p).
-2*p*(p + 1)**2
Determine s, given that 1/5*s**5 + 0 - 2/5*s**4 + 3/5*s + 2/5*s**2 - 4/5*s**3 = 0.
-1, 0, 1, 3
Factor 0 + 2/19*t**4 + 4/19*t + 0*t**3 - 6/19*t**2.
2*t*(t - 1)**2*(t + 2)/19
Let o = -111 - -111. Factor -1/6*c**3 + 0 + 1/6*c + o*c**2.
-c*(c - 1)*(c + 1)/6
Let s = -1 - 8. Let f be (-3)/(s/1)*10. Factor 0 - 4/3*m**2 + 0*m + 14/3*m**3 - f*m**4.
-2*m**2*(m - 1)*(5*m - 2)/3
Let r(s) be the third derivative of s**8/1008 - s**7/630 + 5*s**2. Solve r(d) = 0.
0, 1
Let b(m) be the first derivative of m**6/10 - 6*m**5/25 + 2*m**3/5 - 3*m**2/10 - 15. Suppose b(t) = 0. Calculate t.
-1, 0, 1
Suppose 0 = -2*h - 4*l - 6, -4*h - 4 = 4*l - 12. Suppose s = 2*p - h, 4*p - s = 2*s + 17. Find t, given that 0 - 1/2*t + 1/2*t**p = 0.
0, 1
Let v(t) = 11*t**4 - 6*t**3 - 5*t - 5. Let h(w) = 6*w**4 - 3*w**3 - 3*w - 3. Let m(k) = 5*h(k) - 3*v(k). Factor m(x).
-3*x**3*(x - 1)
Factor -5*g**2 + 7*g + g**2 - 3*g**2 - 12*g**3 + 2.
-(g + 1)*(3*g - 2)*(4*g + 1)
Let s(r) = 2*r - 4. Let v be s(4). Let -t**2 + 0 + v*t - 1 + t - 3*t = 0. Calculate t.
1
Determine s so that 6 - 9/5*s - 3/5*s**2 = 0.
-5, 2
Let z = -117 + 587/5. Solve -4/5*y**2 - z*y**3 + 0 - 2/5*y = 0 for y.
-1, 0
Suppose -126 = -15*s + 12*s. Let r = -42 + s. Let r*h**4 + 0*h**2 + 0 + 2/13*h**5 + 0*h - 2/13*h**3 = 0. What is h?
-1, 0, 1
Let s(l) be the third derivative of -l**6/24 + l**5/6 + 5*l**4/3 + 5*l**2. Suppose s(a) = 0. What is a?
-2, 0, 4
Let m(s) be the first derivative of -9 + 2/5*s**5 + 16/3*s**3 - 5/2*s**4 - 4*s**2 + 0*s. Factor m(d).
2*d*(d - 2)**2*(d - 1)
Let a = 520/789 - -2/263. Solve -o**2 - 7/3*o - a = 0.
-2, -1/3
Let q(l) be the first derivative of -l**8/1470 - 3*l**7/980 - l**6/210 - l**5/420 + l**3/3 + 3. Let w(t) be the third derivative of q(t). Solve w(y) = 0.
-1, -1/4, 0
Let k(a) be the second derivative of 0*a**2 + 1/2*a**4 - 1/2*a**3 - 3/20*a**5 + 3*a + 0. Suppose k(f) = 0. Calculate f.
0, 1
Suppose -g - 5*i - 20 = 3*g, 2*i + 8 = 2*g. Suppose g = -2*t - 0*t. Factor -2/7*s**4 + t*s**2 - 4/7*s**3 + 2/7 + 4/7*s.
-2*(s - 1)*(s + 1)**3/7
Factor -2 - 8/3*j - 2/3*j**2.
-2*(j + 1)*(j + 3)/3
Let c(b) = -b**3 + 10*b**2 + 12*b - 7. Let g be c(11). Factor -4*q**5 + 4*q**4 + 7*q**4 - 19*q**g.
-4*q**4*(q + 2)
Let q be (-2 - (-7)/4)/(18/(-24)). Solve 0 - g**3 - 1/3*g**2 - g**4 - q*g**5 + 0*g = 0 for g.
-1, 0
Let j(z) be the first derivative of z**4/60 + z**3/30 - 4*z + 3. Let o(l) be the first derivative of j(l). Solve o(x) = 0 for x.
-1, 0
Suppose 4/7*c**4 + 0*c**2 - 4/7 - 8/7*c**3 + 8/7*c = 0. Calculate c.
-1, 1
Let u(j) be the third derivative of 0 + 0*j**3 - 4*j**2 + 0*j - 1/45*j**5 + 1/9*j**4. What is s in u(s) = 0?
0, 2
Let c(i) be the third derivative of 1/12*i**4 - 3*i**2 + 0*i - 1/30*i**6 + 0 + 1/30*i**5 + 0*i**3. Factor c(u).
-2*u*(u - 1)*(2*u + 1)
Let h(z) = -z**2 + 4*z. Let s be h(3). Factor 3*b**5 - 15*b**s - 3*b + 2*b + 2*b**5 + 16*b**2 - 2*b**4 - 3*b.
b*(b - 1)**2*(b + 2)*(5*b - 2)
Let r be (-32)/(-8) - 3/2. Suppose 1/2 + 5/2*x**4 + 1/2*x**5 + r*x + 5*x**2 + 5*x**3 = 0. What is x?
-1
Factor 0 - 1/4*q + 1/2*q**2 - 1/4*q**3.
-q*(q - 1)**2/4
Let b(j) be the second derivative of -j**6/120 + j**5/20 - j**4/8 + j**3/6 - j**2/8 + 36*j. Factor b(f).
-(f - 1)**4/4
Let o(v) = v**2 + 3*v. Let p be o(-3). Suppose q + 0*q + 5*u + 2 = p, -u + 14 = 5*q. Factor 0*c**2 + 0*c + 0*c**q + 1/4*c**4 + 0 + 1/4*c**5.
c**4*(c + 1)/4
Factor 6/7*u**3 + 0 - 6/7*u**2 - 2/7*u**4 + 2/7*u.
-2*u*(u - 1)**3/7
Let a(z) be the second derivative of z**6/1440 + z**5/480 + z**3/6 + 2*z. Let q(p) be the second derivative of a(p). Let q(x) = 0. What is x?
-1, 0
Let 5*t**3 + 12*t + 11*t + 20 + 13*t + 4*t + 25*t**2 = 0. Calculate t.
-2, -1
Let m(s) be the first derivative of s**8/84 - 2*s**7/105 - s**6/30 + s**5/15 - 2*s**2 - 5. Let i(u) be the second derivative of m(u). Solve i(r) = 0 for r.
-1, 0, 1
Let k(u) = u**2 + 6*u + 2. Let o be k(-6). Let -3*c**3 + 2*c**2 + 4*c - 2*c**4 - o*c**3 + 6*c**5 - 6*c**3 + c**3 = 0. What is c?
-1, -2/3, 0, 1
Suppose -9/2*c - 3/2*c**3 + 6*c**2 + 0 = 0. What is c?
0, 1, 3
Let t(f) be the second derivative of -1/21*f**7 + 0*f**3 + 0 - 3/10*f**5 + 1/5*f**6 - 3*f + 0*f**2 + 1/6*f**4. Find c such that t(c) = 0.
0, 1
Let r = -16 - -19. Let h(q) = -q + 4. Let n be h(0). Factor -n*z**3 - 2*z**4 + 10*z**r + 2*z + 6*z**2 + 4*z**4.
2*z*(z + 1)**3
Suppose 4/3 + 2/3*f**2 - 4/3*f**3 + 10/3*f = 0. What is f?
-1, -1/2, 2
Let j = -9 - -14. Let p be 3 - 0/(j - 2). Factor -2*i**2 + 2/3*i**p + 8/3 + 0*i.
2*(i - 2)**2*(i + 1)/3
Let f be (-94)/(-35) + 0 + (-158)/395. Factor 0 - 4/7*z**4 + 0*z + 16/7*z**3 - f*z**2.
-4*z**2*(z - 2)**2/7
Let p(k) be the first derivative of k**5/50 + k**4/15 + 4*k + 5. Let z(w) be the first derivative of p(w). Determine a, given that z(a) = 0.
-2, 0
Let n be (-12)/110*15 - -2. Factor -n + 18/11*i - 14/11*i**2.
-2*(i - 1)*(7*i - 2)/11
Let p(c) be the third derivative of -1/720*c**6 - 5*c**2 + 0*c**5 + 1/144*c**4 + 0 + 0*c**3 + 0*c. Determine l so that p(l) = 0.
-1, 0, 1
Let n(m) be the second derivative of -m**5/105 + m**4/28 - m**3/21 + 3*m**2/2 - 7*m. Let j(z) be the first derivative of n(z). Find f, given that j(f) = 0.
1/2, 1
Suppose -20*d + 24 = -16. Let x(m) be the third derivative of 0*m**4 + 0*m + 0*m**3 - d*m**2 + 0 - 1/150*m**6 + 0*m**5 + 1/525*m**7. Factor x(a).
2*a**3*(a - 2)/5
Let q(r) = -r**3 - 4*r**2 - r - 1. Suppose -3*x + 2*y - 12 = 2, -24 = 5*x - 4*y