alculate w.
-2, 1, 2
Let r be (9/(-36))/(1/(-2)). Determine b, given that 0*b - b**4 - 1/2*b**3 + 0*b**2 - r*b**5 + 0 = 0.
-1, 0
Let m be (108/(-45))/4*15/(-2). Suppose 3*a + m*a**2 + 1/2 + 2*a**3 = 0. What is a?
-1, -1/4
Let m(w) be the first derivative of w**4 + 22*w**3/9 + 4*w**2/3 - 2*w/3 - 1. Suppose m(t) = 0. Calculate t.
-1, 1/6
Let d(o) be the first derivative of -3*o**5/35 - 9*o**4/14 - 13*o**3/7 - 18*o**2/7 - 12*o/7 + 27. Factor d(i).
-3*(i + 1)**2*(i + 2)**2/7
Let s(v) be the first derivative of v**4/10 - 2*v**3/15 - v**2 - 6*v/5 - 9. Determine p, given that s(p) = 0.
-1, 3
Let x = 283/4 + -70. What is z in x + 0*z - 3/4*z**2 = 0?
-1, 1
Factor 1/2*v + 0 + 1/2*v**2.
v*(v + 1)/2
Let b(n) = -n**5 - 4*n**3 - 2*n**2 + 3*n + 2. Let z be (2 + -9 + 3)/2. Let u(w) = w**5 + w**3 + w**2 - w - 1. Let t(x) = z*u(x) - b(x). Factor t(c).
-c*(c - 1)**2*(c + 1)**2
Let g(v) be the first derivative of v**4/9 + 2*v**3/9 + v**2/9 + 3. Factor g(t).
2*t*(t + 1)*(2*t + 1)/9
Let c(s) = 6*s**3 - 4*s. Let r(z) = z**4 - 13*z**3 - z**2 + 8*z. Let b(k) = 5*c(k) + 2*r(k). Suppose b(x) = 0. What is x?
-2, -1, 0, 1
Let h(r) be the second derivative of 0 - 13/20*r**6 - 1/2*r**4 - 3/28*r**7 + 0*r**2 + 0*r**3 - 6/5*r**5 + 9*r. Factor h(q).
-3*q**2*(q + 2)**2*(3*q + 1)/2
Suppose -3*c + 9 = 3*f, -c - 5*f = -5 - 2. Let o be 204/33 - 4/22. Suppose 4*w + o - 3 + 2*w**c - 3 + 2 = 0. Calculate w.
-1
Let b = 3 + -1. Suppose -q + 5*z = -0*z + 21, -18 = -b*q - 2*z. Find j such that -2*j**3 - j**5 - j**5 + 6*j**q - 2*j**5 = 0.
0, 1/2, 1
Let x(p) be the first derivative of 1/6*p**4 - 1/3*p - 13/18*p**3 + 11/12*p**2 - 1. Suppose x(f) = 0. Calculate f.
1/4, 1, 2
Let x(u) be the second derivative of 0 - 2*u - 3/20*u**5 + 0*u**3 - 1/4*u**7 + 0*u**4 - 9/20*u**6 + 0*u**2. Solve x(p) = 0.
-1, -2/7, 0
Suppose 9*a = 9 + 18. Factor 0*c - 1/3*c**2 + 0*c**a + 1/3*c**4 + 0.
c**2*(c - 1)*(c + 1)/3
Let n(h) = -h**3 + 6*h**2 + 2*h - 8. Let m(x) = x**3 - 9*x**2 - 9*x - 4. Let w be m(10). Let q be n(w). Factor 0 + 0*z**2 + 0*z + 1/4*z**q + 0*z**3 - 1/4*z**5.
-z**4*(z - 1)/4
Let l(b) = -7*b**2 + b - 17. Let z(u) = -u**2 - 2. Let k = -77 - -26. Let h(w) = k*z(w) + 6*l(w). Factor h(r).
3*r*(3*r + 2)
Let w = -1160 + 1162. Factor -2/9*u**w - 8/9*u - 2/3.
-2*(u + 1)*(u + 3)/9
Factor 0 + 1/3*c**2 + 0*c.
c**2/3
Factor -4*p**2 - 4*p + p**2 + p - 6*p.
-3*p*(p + 3)
Let h(k) be the third derivative of -k**6/240 + k**5/120 + k**4/48 - k**3/12 - 5*k**2. Solve h(u) = 0 for u.
-1, 1
Let j be 4 + 1*-2 + 0. Suppose -4*t + 16 = 0, -5*t - 5 = -5*k - 0*t. Factor -5*n**2 + j*n + k - 5 - 7*n**3.
-n*(n + 1)*(7*n - 2)
Suppose 0 = -4*y + 4*z + 24, 12 = -0*y + y - 3*z. Let i be 1/y + 1/(-21). Factor -2/7 + 4/7*n - i*n**2.
-2*(n - 1)**2/7
Factor 2 - 12/7*k - 2/7*k**2.
-2*(k - 1)*(k + 7)/7
Suppose 2*w - 45 = -17. Factor 9/4*g - 8*g**2 - 12*g**4 - 1/4 + 4*g**5 + w*g**3.
(g - 1)*(2*g - 1)**4/4
Suppose -t + 12 = t. Solve -39*p**3 + 16*p**4 + 51*p**3 + t*p**5 - 3*p + p = 0.
-1, 0, 1/3
Factor 15*k**4 + 0 - 3*k**5 - 12*k + 9*k**3 - 12*k**2 + 0 - 9*k**4.
-3*k*(k - 2)**2*(k + 1)**2
Let c be -2*1 - 366/(-180). Let g(r) be the third derivative of 1/3*r**4 + 4/3*r**3 + r**2 + 0 + c*r**5 + 0*r. Factor g(k).
2*(k + 2)**2
Let x(n) be the third derivative of -n**6/60 + n**5/30 - 36*n**2. Solve x(u) = 0 for u.
0, 1
Let z = -5 - -11. Suppose -z = 25*r - 28*r. What is h in -5/2*h + 1 + h**r = 0?
1/2, 2
Let k(g) be the third derivative of -g**6/540 - g**5/54 - 2*g**4/27 - 4*g**3/27 - 8*g**2. Factor k(y).
-2*(y + 1)*(y + 2)**2/9
Let o = -59 + 61. Factor 6/7*z**3 + 2/7 + o*z**2 + 10/7*z.
2*(z + 1)**2*(3*z + 1)/7
Let h(r) be the second derivative of r**8/2520 + r**7/1260 - r**6/540 - r**5/180 + r**3/6 - r. Let a(m) be the second derivative of h(m). Factor a(s).
2*s*(s - 1)*(s + 1)**2/3
Factor 0 - 3*y**2 + 0*y - 9/2*y**4 - 21/2*y**3.
-3*y**2*(y + 2)*(3*y + 1)/2
Suppose 5*h = -28 + 58. Let i(d) be the third derivative of -1/120*d**h + 0*d**5 + 0*d - 1/60*d**7 - d**2 + 0*d**4 + 0 + 0*d**3. Solve i(m) = 0 for m.
-2/7, 0
Let i(h) be the third derivative of h**7/5040 + h**6/1440 + h**4/6 + 6*h**2. Let x(k) be the second derivative of i(k). Suppose x(j) = 0. What is j?
-1, 0
Let i(u) = 25*u**2 - 28*u + 5. Let v(t) = -675*t**2 + 755*t - 135. Let y(j) = -55*i(j) - 2*v(j). Determine k so that y(k) = 0.
1/5, 1
Let a(p) be the first derivative of 2*p**3/3 - 5*p**2 + 8*p + 19. Let a(f) = 0. What is f?
1, 4
Let r = -5593/3 + 1896. Let o = r + -31. Factor -2/9*c + o*c**2 + 0 + 2/9*c**4 - 2/3*c**3.
2*c*(c - 1)**3/9
Let f(q) = 4*q**2 - 3*q. Let x(d) = d**2 - d. Suppose 5*v + 21 = 131. Let h(r) = v*x(r) - 6*f(r). Suppose h(s) = 0. What is s?
-2, 0
Let q(h) = -3*h**3 + h**2 - h - 3. Suppose -8 = 4*b - 0*b. Let a(c) = -4*c**3 + c**2 - 2*c - 4. Let r(m) = b*a(m) + 3*q(m). Find w, given that r(w) = 0.
-1, 1
Let o be (-2 - -6)*4/8. Determine c, given that 2 + 8*c**2 - 7*c - c**o - 2*c = 0.
2/7, 1
Let h(q) be the third derivative of q**7/5040 + q**6/240 + 3*q**5/80 - q**4/24 + 2*q**2. Let a(p) be the second derivative of h(p). Find n, given that a(n) = 0.
-3
Suppose -2*v - 3 = 5*u - 28, 3*u = 2*v - 1. Factor 5*h**u - 11*h**5 + 2*h**3 - 8*h**4 - h**5 - 3*h**3.
-4*h**3*(h + 1)*(3*h - 1)
Let j(s) = -5*s**3 + 12*s**2 + 21*s + 13. Let q(b) = -2*b**3 + 6*b**2 + 10*b + 6. Let d(y) = 4*j(y) - 9*q(y). Determine o so that d(o) = 0.
-1
Find s, given that 4/13*s - 6/13*s**3 - 6/13*s**2 + 4/13*s**4 + 0 = 0.
-1, 0, 1/2, 2
Factor -9/2 - 3/2*y**2 + 6*y.
-3*(y - 3)*(y - 1)/2
Factor -7*d**4 + 25*d**3 + 7*d**4 + 5*d**5 - 20*d**4 - 10*d**2.
5*d**2*(d - 2)*(d - 1)**2
Let k be (-3)/6 - (48 - 50). Let 3/4 + k*b - 9/4*b**2 = 0. Calculate b.
-1/3, 1
Let s(j) be the third derivative of -j**8/6720 + j**6/720 + j**4/8 - j**2. Let y(z) be the second derivative of s(z). Factor y(b).
-b*(b - 1)*(b + 1)
Let d = -236/1323 + 5/27. Let r(f) be the second derivative of 0*f**5 - d*f**7 + 0 - 3*f + 0*f**3 + 0*f**4 + 0*f**2 + 1/105*f**6. Suppose r(v) = 0. What is v?
0, 1
Let t(s) be the first derivative of -s**5/80 - s**4/16 - s**3/8 + 2*s**2 + 2. Let i(r) be the second derivative of t(r). Let i(o) = 0. Calculate o.
-1
Let l(p) be the second derivative of 1/2*p**6 - 2/3*p**3 + 0 + 29/20*p**5 - 4/3*p**2 + 19/18*p**4 - 3*p. Determine w, given that l(w) = 0.
-1, -2/3, 2/5
Let b = 863/10 - 429/5. Factor -1/2*o**2 + 0 - o + b*o**3.
o*(o - 2)*(o + 1)/2
Factor 0 - 1/7*m - 1/7*m**2.
-m*(m + 1)/7
Let n be ((-2)/(-48))/((-11)/110). Let q = n + 3/4. Determine d, given that 1/3*d**5 + 0*d + 1/3*d**2 + 0 - q*d**3 - 1/3*d**4 = 0.
-1, 0, 1
Let z(i) be the second derivative of i**9/5040 + i**8/2240 - i**7/840 - i**6/240 + i**4/3 + 4*i. Let a(l) be the third derivative of z(l). Factor a(u).
3*u*(u - 1)*(u + 1)**2
Let p be (-1)/3 - 69/9. Let j be ((-9)/(-42))/((-3)/p). Factor 2/7*b**5 + 0 + 0*b**4 + 0*b**2 - j*b**3 + 2/7*b.
2*b*(b - 1)**2*(b + 1)**2/7
Let d(u) = -u**3 + 2*u**2 + 2*u - 3. Let k be d(2). Let 2*h**5 + k - 3*h**4 + 4 + h**3 - 5 = 0. Calculate h.
0, 1/2, 1
Let w(b) be the first derivative of 0*b**4 - 3 + 0*b**2 - 2/35*b**5 - 2/7*b + 4/21*b**3. Determine z so that w(z) = 0.
-1, 1
Let m be (-64)/(-28) + 4/(-14). Factor m*b + b**3 + 0*b - 13*b**2 + 10*b**3.
b*(b - 1)*(11*b - 2)
Let w be (-1 + 4/2)*2. Let m be (-1)/w*0 - 0. Factor 2*v**2 - 2 - 3*v**3 - 2*v + m*v**3 + 5*v**3.
2*(v - 1)*(v + 1)**2
Let v(c) be the second derivative of -c**5/40 - 3*c**4/4 - 27*c**3/4 + 11*c. Factor v(t).
-t*(t + 9)**2/2
Let w be (1*13)/(495/110). Suppose 8/9*q**5 + 10/3*q**3 - w*q**4 + 2/9*q - 14/9*q**2 + 0 = 0. What is q?
0, 1/4, 1
Factor -10/3*q**3 - 10/3*q**2 - 1/3*q**5 - 1/3 - 5/3*q**4 - 5/3*q.
-(q + 1)**5/3
Factor 3/2*s**4 + 0*s + 3/2*s**3 + 1/2*s**2 + 0 + 1/2*s**5.
s**2*(s + 1)**3/2
Let s = -1/555 + 1483/1665. Suppose -s - 2/9*g**4 - 4/3*g**3 - 8/3*g - 26/9*g**2 = 0. What is g?
-2, -1
Let j be (-4 - 95/(-10)) + -5. What is y in 1/2 + j*y**4 + 9/4*y**3 + 9/4*y + 7/2*y**2 = 0?
-2, -1, -1/2
Let u = -78 + 78. Let t(m) be the third derivative of -1/30*m**5 + u + m**2 + 1/3*m**3 + 0*m**4 + 0*m. Factor t(d).
-2*(d - 1)*(d + 1)
Let w be ((-8)/35)/(32/(-80)). Find p such that w - 24/7*p**2 + 2*p**3 + 6/7*p = 0.
-2/7, 1
Let w be (0/3)/(-1 + 2). Suppose 3*x + 2*x - 3*h - 1 = 0, -3*x = -4*h + 6. Solve 0 + w + x*v**2 + 2*v = 0.
-1, 0
Solve 2