d**5 + 1/120*d**4 + 0*d - 1/30*d**3 + 9*d**2 - 1/525*d**7 - 1/600*d**6. Let b(m) = 0. Calculate m.
-1, 1/2, 1
Solve 24/7*k - 16/7 + 2/7*k**3 - 12/7*k**2 = 0.
2
Suppose 26 = -2*t + 2*u - u, 3*u = 0. Let r = t + 18. Factor -1 - 3*k**3 - 12*k**2 - 8*k - r*k**3 + k**4 - 3*k**4 - 1.
-2*(k + 1)**4
Let u(n) be the first derivative of -n**7/315 - n**6/90 + n**2 + 4. Let p(f) be the second derivative of u(f). Factor p(i).
-2*i**3*(i + 2)/3
Let i(s) be the second derivative of -s**6/10 + 9*s**5/10 - 13*s**4/4 + 6*s**3 - 6*s**2 + 34*s. Find h, given that i(h) = 0.
1, 2
Suppose 0*w - 2*w = -6. Suppose -x = 2*x - w. Find a, given that -x + 2*a**3 - 4*a**3 - a**3 + 4 + 3*a - 3*a**2 = 0.
-1, 1
Suppose 2/7*a**2 + 6/7*a**5 + 0 + 0*a - 6/7*a**3 - 2/7*a**4 = 0. Calculate a.
-1, 0, 1/3, 1
Let k(m) be the third derivative of m**7/1260 + m**6/120 + m**5/30 - 5*m**4/24 - m**2. Let o(b) be the second derivative of k(b). What is j in o(j) = 0?
-2, -1
Let u = 42 - 209/5. Factor -2/5 - 1/5*w + u*w**3 + 2/5*w**2.
(w - 1)*(w + 1)*(w + 2)/5
Let n(c) = -c**2 + 6*c + 1. Let v be n(6). Let g = v + 1. Find i such that 3*i**2 + i - 2*i - 4*i**g = 0.
-1, 0
Let y(q) be the second derivative of 0 + 0*q**2 - 21/80*q**5 - 1/4*q**3 - 2*q + 9/16*q**4. Determine d, given that y(d) = 0.
0, 2/7, 1
Factor -12/5*i + 0 - 6/5*i**2.
-6*i*(i + 2)/5
Let s(n) = 3*n**2 - 6*n - 12. Let c(l) = -1. Let k = 0 + -1. Let d(i) = k*s(i) + 15*c(i). Factor d(t).
-3*(t - 1)**2
Factor -2/5*n + n**4 + 0 - 1/5*n**5 + 7/5*n**2 - 9/5*n**3.
-n*(n - 2)*(n - 1)**3/5
Let l(b) be the second derivative of -b**7/315 + 2*b**5/75 - b**4/45 - b**3/15 + 2*b**2/15 - 5*b. Suppose l(x) = 0. Calculate x.
-2, -1, 1
Let t(i) = -6*i**3 - 2*i - 1. Let z be t(-1). Suppose 2*b + z = -5*j - 4, 2*b - 2*j - 10 = 0. What is k in -1 + 0*k**3 + 0*k**3 - k**3 - 3*k**b - 3*k = 0?
-1
What is m in 6/5*m**2 + 3/5*m - 6/5 - 3/5*m**3 = 0?
-1, 1, 2
Let l(p) be the third derivative of -1/945*p**7 + 1/135*p**5 + 0*p**6 + 0 + 0*p**4 + 0*p - 1/27*p**3 + 4*p**2. Factor l(a).
-2*(a - 1)**2*(a + 1)**2/9
Solve -2*c**2 - 27 + 27 + 4*c = 0.
0, 2
Let s(x) = -x**4 - x**3 - x**2 + x + 1. Let m(d) = 2*d**5 - 11*d**4 - d**3 - d**2 - d + 7. Let w(c) = m(c) - 5*s(c). Factor w(t).
2*(t - 1)**4*(t + 1)
Let c(h) = 3*h**2 - h. Let q be c(1). Determine t, given that 0 - 1/4*t**4 + t + 5/4*t**3 - q*t**2 = 0.
0, 1, 2
Let l(q) = 2*q**3 - 3*q**2 + 13*q. Let d(h) = -h**2 - h. Let i(c) = -5*d(c) - l(c). Solve i(v) = 0.
0, 2
Suppose 15 = -11*c + 8*c. Let t be (-1)/(c/((-135)/(-21))). Factor t*q + 3/7*q**2 + 6/7.
3*(q + 1)*(q + 2)/7
Let i(k) be the third derivative of -k**7/105 + k**5/30 - 3*k**2. Let i(x) = 0. What is x?
-1, 0, 1
Let l(t) = -3*t**2 - 9*t + 6. Let c(i) = 3*i**2 + 10*i - 5. Let x(j) = -3*c(j) - 4*l(j). Factor x(o).
3*(o - 1)*(o + 3)
Let z(i) = -i**4 + i**3 - 1. Let j(h) = -2*h**3 + 4*h**2 + 4*h + 1. Let k(l) = 2*j(l) + 2*z(l). Let k(t) = 0. What is t?
-2, -1, 0, 2
Suppose -5*p - 20 = -10*p. Let j(d) be the third derivative of 0 + 1/90*d**5 - 1/36*d**p + 0*d**3 + 0*d + 2*d**2. Suppose j(z) = 0. What is z?
0, 1
Let q(l) be the second derivative of -l**5/200 - l**4/60 + l**3/60 + l**2/10 - 18*l. Determine m, given that q(m) = 0.
-2, -1, 1
Let 6/7 - 3/7*r**3 + 15/7*r - 3/7*r**4 + 9/7*r**2 = 0. What is r?
-1, 2
Find s, given that 1/2*s + 1/4 + 1/4*s**2 = 0.
-1
Let p(t) = t**4 + 2*t**3 + 3*t**2 - 4*t. Suppose 4*m = -0*m - 84. Let q(o) = 4*o**4 + 6*o**3 + 10*o**2 - 13*o. Let u(f) = m*p(f) + 6*q(f). Solve u(x) = 0 for x.
-1, 0, 1, 2
Let s(o) = o**2 + 1. Let u(b) = -35*b**3 + 15*b**2 + 35*b - 5. Let f(g) = 5*s(g) - u(g). Factor f(v).
5*(v - 1)*(v + 1)*(7*v - 2)
Determine a, given that -2/21*a**4 + 2/21*a**3 + 2/21*a**2 - 2/21*a + 0 = 0.
-1, 0, 1
Let m(d) be the second derivative of -d**4/30 - d**3/15 + 2*d**2/5 - 2*d. Find q, given that m(q) = 0.
-2, 1
Let p = 227803/57762 - -2/3209. Let j = p - 7/2. Find x such that -2/9 + j*x - 2/9*x**2 = 0.
1
Let z(g) be the second derivative of g**6/80 - 3*g**5/8 + 75*g**4/16 - 125*g**3/4 + 1875*g**2/16 - 15*g. Let z(n) = 0. What is n?
5
Suppose 0 = -714*w + 715*w - 2. Factor -1 - 1/4*u**w + u.
-(u - 2)**2/4
Let s(b) = -5*b**2 - 4*b - 5. Let y be 48/28 - (-4)/14. Let i(f) = -24 - 25*f**y + 8 - 19*f + 9*f**2 + 7*f. Let p(h) = 3*i(h) - 10*s(h). Solve p(c) = 0 for c.
-1
Let a = 143 - 81. Let z be (-9)/(-3) - a/22. Solve 0*w + 2/11*w**4 + 4/11*w**3 + z*w**2 + 0 = 0 for w.
-1, 0
Factor -3/2*m**3 + 3/4*m + 3/4*m**5 + 0*m**2 + 0 + 0*m**4.
3*m*(m - 1)**2*(m + 1)**2/4
Let a(s) = s**3 - 8*s**2 - 9*s - 6. Let y be a(9). Let m = y - -8. Factor 6*z**4 - 7*z**4 + 0*z - 5*z**3 + m*z**2 - z**2 + 2*z + 3*z**5.
z*(z - 1)**2*(z + 1)*(3*z + 2)
Let n(t) be the second derivative of -1/6*t**3 - 1/20*t**5 - 1/6*t**4 - 2*t + 0 + 0*t**2. Determine o, given that n(o) = 0.
-1, 0
Let -6*l + l**2 + 7*l - 3*l + l**3 = 0. What is l?
-2, 0, 1
Let h(q) be the second derivative of -q**9/10584 + q**8/2940 - q**6/630 + q**5/420 - q**3/6 + 5*q. Let p(s) be the second derivative of h(s). Factor p(z).
-2*z*(z - 1)**3*(z + 1)/7
Let b(n) be the third derivative of -n**5/60 - n**4/24 + n**3/3 + 10*n**2. Let v be b(0). Factor 0 - 1/3*w**3 + 0*w + 1/3*w**v.
-w**2*(w - 1)/3
Factor 1/4*m - m**5 + 0 - 11/4*m**4 - 1/4*m**2 - 9/4*m**3.
-m*(m + 1)**3*(4*m - 1)/4
Let d(l) = 190*l**2 - 270*l + 55. Let k(a) = -7*a**2 + 10*a - 2. Let j(g) = 2*d(g) + 55*k(g). Factor j(p).
-5*p*(p - 2)
Let m(o) be the third derivative of -o**9/756 - o**8/140 - o**7/70 - o**6/90 - o**3/6 + 4*o**2. Let q(n) be the first derivative of m(n). Factor q(l).
-4*l**2*(l + 1)**3
Let z(m) = -4*m**5 + 28*m**4 - 48*m**3 + 40*m**2 - 12*m - 4. Let x(v) = -v**4 + v**3 - v + 1. Let l(h) = -8*x(h) - z(h). Solve l(u) = 0.
1
Let w(m) = -m**5 + 3*m**4 + 7*m**3. Let g(t) = -2*t**5 + 2*t**4 + 6*t**3. Let i(c) = -3*g(c) + 2*w(c). Find o such that i(o) = 0.
-1, 0, 1
Suppose 2*c - 4*c + y + 14 = 0, 0 = 4*c - y - 24. Factor 1/3 + 1/3*a**4 - 1/3*a + 2/3*a**3 - 2/3*a**2 - 1/3*a**c.
-(a - 1)**3*(a + 1)**2/3
Find b such that 0*b - 1/4*b**5 + 0*b**2 + 0 + 9/4*b**3 + 2*b**4 = 0.
-1, 0, 9
Let g be 1 + -2 + 4 + 3. Suppose -2*y + g + y**2 + y**2 + 2 - 6*y = 0. What is y?
2
Let z(n) be the third derivative of -n**7/105 + n**6/20 + n**5/30 - n**4/4 - 4*n**2. Determine y, given that z(y) = 0.
-1, 0, 1, 3
Let c be 7 - (1 - (4 - 5)*4). Solve -d**c + 0 - 1/4*d = 0 for d.
-1/4, 0
Factor b**4 + 2*b**3 + 21*b**2 - 14*b**2 - 10*b**2.
b**2*(b - 1)*(b + 3)
Let f = -2 + 15. Let h = -25/2 + f. Factor -h*i + 0 - 1/2*i**2.
-i*(i + 1)/2
Suppose 4*w = 5*w - 6. Suppose -3*n - 2*t = -8, 2*n - 8 = -w*t + 2*t. What is b in -b**n - 5*b**4 + 4*b**2 - 9*b**3 + 7*b**5 + 2*b + 2*b**2 = 0?
-1, -2/7, 0, 1
Let y(g) be the third derivative of -g**6/60 - g**5/10 - g**4/4 - g**3/3 - 7*g**2. Determine j, given that y(j) = 0.
-1
Suppose -3*w = 2*w. Let 0*o + 0*o**2 - o - o**2 + w*o = 0. What is o?
-1, 0
Let h be 16/2 - 5 - 1. Suppose 2/3*v**5 - 4/3*v**2 + 4/3*v**3 - h*v + 2*v**4 - 2/3 = 0. What is v?
-1, 1
Let b be (-2 + 2)/(-3) - 0. Let f(v) be the first derivative of 0*v**2 + 2 + b*v - 3/4*v**4 + 1/3*v**3. Factor f(h).
-h**2*(3*h - 1)
Let z(d) be the second derivative of -d**6/180 + d**5/15 - 13*d**4/72 + d**3/6 + 9*d. Factor z(k).
-k*(k - 6)*(k - 1)**2/6
Let j = -1192 - -1196. Solve 0*m + 0 + 0*m**2 + 1/6*m**j + 0*m**3 - 1/6*m**5 = 0.
0, 1
Suppose -44*w + 52*w = 0. Suppose 2/5*r + w*r**2 + 0 - 2/5*r**3 = 0. What is r?
-1, 0, 1
Find l such that -12 - 13*l**2 + 25*l**2 + 10*l - 14*l**2 = 0.
2, 3
Let t(z) be the third derivative of -z**8/112 + z**7/35 - z**6/40 + 9*z**2. Factor t(y).
-3*y**3*(y - 1)**2
Let i(x) be the first derivative of x**5/25 - x**4/5 + 2*x**3/5 - 2*x**2/5 + x/5 - 13. Factor i(q).
(q - 1)**4/5
Let u(k) be the third derivative of 0*k + 1/504*k**8 + 0 + 0*k**6 + 0*k**5 + 1/315*k**7 + 5*k**2 + 0*k**3 + 0*k**4. Factor u(s).
2*s**4*(s + 1)/3
Find j, given that 2/9*j**3 - 2/3*j**2 - 2/9 + 2/3*j = 0.
1
Let b(i) be the third derivative of 1/75*i**5 + 0 + i**2 - 1/280*i**8 + 0*i**4 + 0*i**3 + 0*i - 4/525*i**7 + 1/300*i**6. Let b(n) = 0. What is n?
-1, 0, 2/3
Find l, given that 2 - 2*l**2 + 2 - 4 - 2*l = 0.
-1, 0
Let b(s) be the second derivative of -s**5/60 - s**4/9 - 5*s**3/18 - s**2/3 + s. Determine n so that b(n) = 0.
-2, -1
Let m be (-14220)/(-54)*2/(-4)