ond derivative of m**5/4 - 5*m**4/3 + 5*m**3/2 - 10*m. Solve v(p) = 0 for p.
0, 1, 3
Let v(h) be the first derivative of -2*h**5/15 + h**4/2 - 2*h**3/9 - h**2 + 4*h/3 + 8. What is o in v(o) = 0?
-1, 1, 2
Let d be 1/2*-2 - -1. Let t = d + 3. Factor 0*g**2 - g - 4 + 5*g**2 - t*g**4 + g**3 + 2.
-(g - 1)**2*(g + 1)*(3*g + 2)
Suppose -b - 79 = 3*a, -10 - 29 = b - 5*a. Let o = 194/3 + b. Let -o + 2/3*w**3 + 2/3*w**2 - 2/3*w = 0. What is w?
-1, 1
Let h(l) be the second derivative of 0 + 0*l**2 + 2/45*l**6 - 1/9*l**3 + 0*l**5 + 2*l - 1/9*l**4 + 1/63*l**7. Determine z so that h(z) = 0.
-1, 0, 1
Let u be (-8)/3*(-4)/16. Let u*t**2 - 2/3 + 0*t = 0. What is t?
-1, 1
Let t(y) = 3*y**4 - 2*y**2 + 2. Let a(x) = -2*x**4 + 3*x**2 - 3. Let i(k) = -2*a(k) - 3*t(k). Factor i(u).
-5*u**4
Let u be 24/16*(-4)/(-2). Let m = u + -3. Factor 0*b + 0*b**2 - 1/3*b**3 + m.
-b**3/3
Let y(f) be the second derivative of 3*f**5/80 + f**4/16 - f**3/2 - 3*f**2/2 - 2*f. Factor y(j).
3*(j - 2)*(j + 1)*(j + 2)/4
Let h be (24 - 23)*1/3. Factor 0*r + 0 + 1/3*r**2 - 2/3*r**3 + h*r**4.
r**2*(r - 1)**2/3
Let -35*h - 21*h + 21*h**2 - 24 + 26*h = 0. Calculate h.
-4/7, 2
Let d(i) = -i - 16. Let g be d(-16). Factor 0 - 2/3*x**2 + 2/3*x**4 + g*x + 0*x**3.
2*x**2*(x - 1)*(x + 1)/3
Solve 2*u + 12 + 0*u**4 - 4*u**4 - 8*u**3 - 8 + 6*u = 0 for u.
-1, 1
Let l be (9/(-225))/((-4)/5). Let y(d) be the second derivative of 0*d**2 + l*d**6 - d + 0*d**4 + 5/84*d**7 + 0*d**3 - 1/20*d**5 + 0. Factor y(v).
v**3*(v + 1)*(5*v - 2)/2
Let g(r) = -6*r**2 + 9*r. Let z(m) = m**2 - m - 1. Suppose -8*s = -5*s + 3. Let p(c) = s*g(c) - 3*z(c). Determine x, given that p(x) = 0.
1
Factor 0*r**2 - 4/9 + 2/9*r**3 - 2/3*r.
2*(r - 2)*(r + 1)**2/9
Factor -16/3*a**2 + 20/3*a + 4/3*a**3 - 8/3.
4*(a - 2)*(a - 1)**2/3
Let d(j) = j**2 + 2*j - 5. Let p be d(-4). Suppose -3*n = 3*x - 42, 3*x - p = x + 3*n. Factor -i + 8*i + 1 + 4*i**3 - i + x*i**2.
(i + 1)**2*(4*i + 1)
Let v be ((-6)/4)/((-1)/(-6)). Let i = v + 9. Suppose i*j + 0 - 4/7*j**3 - 2/7*j**2 - 2/7*j**4 = 0. Calculate j.
-1, 0
Suppose -198/7*o - 38/7*o**2 - 2/7*o**3 - 162/7 = 0. Calculate o.
-9, -1
Suppose 14*v + 9*v = 46. Suppose 0*j + 0*j**v - 1/2*j**5 + 0 + 0*j**4 + 1/2*j**3 = 0. What is j?
-1, 0, 1
Suppose 76*g = 85*g. Factor 2/5*o**2 + 0 + g*o - 1/5*o**3 - 1/5*o**4.
-o**2*(o - 1)*(o + 2)/5
Let x(z) be the second derivative of 0*z**3 + 0*z**2 - 1/21*z**4 - 4*z + 1/15*z**6 + 1/14*z**5 + 0. Find v such that x(v) = 0.
-1, 0, 2/7
Let z(a) be the first derivative of -a**4/48 - a**3/8 - a**2/4 + 3*a - 2. Let h(o) be the first derivative of z(o). Let h(q) = 0. What is q?
-2, -1
Let f(m) be the first derivative of -m**6/45 + m**5/15 + m**4/6 - 4*m**3/9 - 4*m**2/3 + m + 1. Let n(v) be the first derivative of f(v). Solve n(y) = 0.
-1, 2
Let c(d) = -d**3 + d**2 + 2. Let l(i) = -28*i**3 - 77*i**2 + 76*i - 10. Let o(m) = -6*c(m) + 2*l(m). Factor o(t).
-2*(t + 4)*(5*t - 2)**2
Let g = 2/5 - 3/20. Let d(y) be the first derivative of g*y**4 + 1 + 0*y**2 + 0*y - 2/9*y**3. Factor d(r).
r**2*(3*r - 2)/3
Let j(p) be the third derivative of p**6/120 - 13*p**5/300 + p**4/30 + 2*p**3/15 - 2*p**2. Suppose j(t) = 0. What is t?
-2/5, 1, 2
Let a(z) be the second derivative of z**7/14 - z**6/2 + 21*z**5/20 - 3*z**4/4 + 11*z. Determine x, given that a(x) = 0.
0, 1, 3
Factor -1/5*u**3 + 0*u + 4/5 - 3/5*u**2.
-(u - 1)*(u + 2)**2/5
Let q be -2 + (56/12)/2. Let t(r) be the third derivative of q*r**3 + 0*r - r**2 + 1/30*r**5 + 1/6*r**4 + 0. Let t(c) = 0. What is c?
-1
Suppose 0 = -2*v - 0*v - x + 22, 0 = v + 3*x - 21. Suppose v = 2*t + t. Factor -1/2*q**t + 1/2*q + 1/2*q**2 - 1/2.
-(q - 1)**2*(q + 1)/2
Let v(s) be the third derivative of -s**8/168 - 4*s**7/105 - s**6/12 - s**5/15 - 28*s**2. Factor v(y).
-2*y**2*(y + 1)**2*(y + 2)
Let m(x) be the third derivative of -2*x**2 - 1/100*x**5 + 0 + 1/40*x**4 + 0*x + 0*x**3. Determine r, given that m(r) = 0.
0, 1
Let l(k) = k - 1. Let h be l(7). Let w = h - 4. Determine z, given that 1/2 - z**3 - 1/2*z**4 + z + 0*z**w = 0.
-1, 1
Let s = -27 + 13. Let l(k) = -4*k**4 - 5*k**3 + 5*k + 1. Let n(j) = -9*j**4 - 11*j**3 + 11*j + 2. Let b(m) = s*l(m) + 6*n(m). Determine g, given that b(g) = 0.
-1, 1
Let g = -396 + 11881/30. Let l(p) be the second derivative of 0*p**2 + 0*p**4 + 0*p**3 + 0 - g*p**6 + p - 1/10*p**5. Solve l(j) = 0 for j.
-2, 0
Let r = 10 + -6. Suppose 0 = -r*t - t. Factor 0 + t*l + 3/5*l**2.
3*l**2/5
Let u(h) be the third derivative of -h**8/6720 - h**7/840 - h**6/480 - h**3/6 + 6*h**2. Let n(g) be the first derivative of u(g). Factor n(b).
-b**2*(b + 1)*(b + 3)/4
Let d(v) be the first derivative of v - 3 - 1/84*v**7 + 0*v**6 + 0*v**4 + 1/20*v**5 - 1/12*v**3 + 0*v**2. Let z(h) be the first derivative of d(h). Factor z(f).
-f*(f - 1)**2*(f + 1)**2/2
Let j(h) = -4*h**2 + 6*h. Let p be (3 + -1)/1 - 0. Let n(t) = t**2. Let s(d) = p*n(d) + j(d). Factor s(u).
-2*u*(u - 3)
Suppose -7*b = -5*z - 3*b + 30, z = -5*b - 23. Solve 0 + 2/3*i + i**4 + 3*i**z + 10/3*i**3 = 0 for i.
-2, -1, -1/3, 0
Let r(w) = -6*w**2 + 5*w - 6. Let l(o) be the second derivative of o**4/12 - o**3/6 + o**2/2 + 5*o. Let s(n) = -21*l(n) - 3*r(n). Factor s(i).
-3*(i - 1)**2
Let g(c) be the third derivative of 1/112*c**8 + 0 + 5/8*c**4 - 1/2*c**3 - 1/14*c**7 + 0*c + 1/4*c**6 + 4*c**2 - 1/2*c**5. Find v, given that g(v) = 0.
1
Let j(q) be the second derivative of 1/147*q**7 + 1/35*q**6 + 0 + 3*q + 0*q**2 + 0*q**3 + 3/70*q**5 + 1/42*q**4. Factor j(t).
2*t**2*(t + 1)**3/7
Let p(d) = 7*d**3 + d**2 + 4*d. Let l be p(-3). Let u be (1/(-4))/(16/l). Factor 0 - 1/3*x**2 - 1/6*x - 1/6*x**u.
-x*(x + 1)**2/6
Let f(d) be the first derivative of 7*d**3/3 - 9*d**2/2 + 5*d - 2. Let a(l) = -3*l**2 + 4*l - 2. Let y(w) = 5*a(w) + 2*f(w). Let y(b) = 0. What is b?
0, 2
Suppose 24 = 4*s - 2*a, -s = 4*a + 2 - 17. Let l = 11 - s. Factor -2*w - w + 8*w**4 + l*w**4 - 18*w**3 - 3*w**5 + 6*w**2 + 6*w**2.
-3*w*(w - 1)**4
Determine d, given that 20/7*d**2 - 12/7*d - 8/7 = 0.
-2/5, 1
Let g(h) be the second derivative of -15*h**7/14 - 49*h**6/10 - 159*h**5/20 - 15*h**4/4 + 4*h**3 + 6*h**2 - 10*h. Let g(x) = 0. Calculate x.
-1, -2/3, 2/5
Let 12*t**2 + 21*t**5 + 21*t + 26 - 14 - 6*t**4 - 42*t**3 - 18 = 0. Calculate t.
-1, 2/7, 1
Suppose 5*x = 4*a + 29 - 8, -2*x = a + 2. Let b be (-6)/a + 3/6. Factor v**2 - v + 0*v**b + 1 - v.
(v - 1)**2
Let q(a) be the third derivative of a**5/20 - 3*a**4/8 - 2*a**3 - 10*a**2. Determine x so that q(x) = 0.
-1, 4
Find z, given that 0 + z**2 - 3/2*z + 1/2*z**3 = 0.
-3, 0, 1
Let t(z) = 3*z. Let d be t(5). Suppose 7*g - 2*g - d = 0. Let -q**2 + g*q - 3*q - q = 0. Calculate q.
-1, 0
Let k(i) be the third derivative of -1/1155*i**7 - 1/33*i**4 + 0 - 1/165*i**6 + 0*i - 1/33*i**3 + 2*i**2 - 1/55*i**5. What is p in k(p) = 0?
-1
Suppose -q = -2*q + 5. Factor 5*o**2 + 3*o**5 - q*o**3 + 3*o**4 - 8*o**2 + 2*o**3.
3*o**2*(o - 1)*(o + 1)**2
Let t(j) = -j + 1. Let b be t(4). Let c be ((-80)/(-45))/((-2)/b). Factor -c*n**4 - 2/3*n**2 + 7/3*n**3 + 0 + n**5 + 0*n.
n**2*(n - 1)**2*(3*n - 2)/3
Let x be (-5)/9*(-2)/5. Let i be (-13)/(-4) - (-2)/(-8). What is w in 0 + 2/9*w**2 + 2/9*w**i - x*w - 2/9*w**4 = 0?
-1, 0, 1
Suppose 15 = 20*f - 15*f. Let -a**f - 7/4*a**2 + 1/4 - 1/2*a = 0. What is a?
-1, 1/4
Suppose -36*a - 10 = -38*a. Find u such that -2/7*u**2 - 2/7*u**3 + 2/7*u**4 + 0*u + 0 + 2/7*u**a = 0.
-1, 0, 1
Factor -3/2*l**3 - 6*l + 0 - 6*l**2.
-3*l*(l + 2)**2/2
Factor 2*n**2 - 3*n**2 + 2*n + 2*n**2.
n*(n + 2)
Let h(m) = -m + 24. Let b be h(22). Factor -y**b - 4/3 + 8/3*y.
-(y - 2)*(3*y - 2)/3
Let z(w) be the second derivative of -w**4/30 + w**3/15 + 2*w**2/5 - 15*w. Factor z(p).
-2*(p - 2)*(p + 1)/5
Let d = 82/105 - 8/21. Factor 2/5*z**4 + 0*z + 0 - d*z**5 - 2/5*z**2 + 2/5*z**3.
-2*z**2*(z - 1)**2*(z + 1)/5
Let q(k) be the second derivative of k**9/7560 + k**8/3360 - k**7/1260 - k**6/360 + k**4/12 + 3*k. Let o(l) be the third derivative of q(l). Factor o(d).
2*d*(d - 1)*(d + 1)**2
Let k(x) = 10*x**5 - 2*x**4 + 14*x**3 - 6*x**2 - 8*x - 8. Let y(w) = -w**5 + w**4 - w**3 + w**2 + w + 1. Let z(j) = k(j) + 8*y(j). Factor z(i).
2*i**2*(i + 1)**3
Let q(h) = h**2 + 4*h + 2. Let z be q(-4). Suppose l = z*l - 3. Suppose -w**5 - l*w**2 + 2*w**3 + 3*w**5 + 3*w**2 + 4*w**4 = 0. Calculate w.
-1, 0
Let h(x) be the second