 4*c(p) + 3*n(p). Let a(i) = 0. Calculate i.
-2, -1
Let q(j) be the first derivative of -j**6/60 - j**5/18 + j**4/9 + 4*j**3/9 - 2*j**2 + 2. Let v(u) be the second derivative of q(u). Factor v(t).
-2*(t - 1)*(t + 2)*(3*t + 2)/3
Suppose -7*b + 12 = -3*b. Factor k + b*k - k**3 + 2*k**2 - 5*k.
-k*(k - 1)**2
Let m(y) = 7*y**4 - 13*y**3 + 9*y**2 - 3*y. Let i(r) = 8*r**4 - 14*r**3 + 8*r**2 - 2*r. Let c(p) = -3*i(p) + 2*m(p). Let c(q) = 0. What is q?
0, 3/5, 1
Let i(g) be the first derivative of 2/3*g**3 - 1 + 0*g + g**2. Factor i(h).
2*h*(h + 1)
Let k(m) be the second derivative of 1/12*m**3 + 4*m - 1/48*m**4 + 0 - 1/8*m**2. Factor k(u).
-(u - 1)**2/4
Let z be (-3 - (-28)/6) + -1. Let -2/3*y + 0 - z*y**2 + 2/3*y**4 + 2/3*y**3 = 0. What is y?
-1, 0, 1
Let d = -17 - -22. Let s(p) be the third derivative of -1/180*p**6 - 1/36*p**4 + 0 - p**2 + 0*p**3 + 0*p - 1/45*p**d. Factor s(j).
-2*j*(j + 1)**2/3
Let k be -1*(-1 + 4 + -3)*1. Find r, given that 0 + k*r - 2/11*r**4 - 2/11*r**2 + 4/11*r**3 = 0.
0, 1
Let f be (-12)/(-2) + 5/5. Let -5 - 2 + 6*l + f - 3*l**2 - 3 = 0. What is l?
1
Suppose -26 = -5*i - 6. Factor -2*h**3 + 2*h**5 + 2*h**2 - 2*h**4 + 5*h**i - 5*h**4.
2*h**2*(h - 1)**2*(h + 1)
Let f(h) be the second derivative of 1/6*h**2 + 5/18*h**3 - 4/45*h**6 - 2/63*h**7 + 0 + 7/36*h**4 - 1/60*h**5 + 2*h. Determine k, given that f(k) = 0.
-1, -1/2, 1
Let w(v) be the second derivative of -1/8*v**4 + 0 - 1/4*v**3 + 2*v + 3/2*v**2. Let w(j) = 0. What is j?
-2, 1
Let a(z) = 5*z**2 - 40*z + 147. Let p(m) = -36*m**2 + 279*m - 1029. Let y(v) = 15*a(v) + 2*p(v). Factor y(c).
3*(c - 7)**2
Suppose 4*x - 18 = -2*u, -x + 17 = u + 5. Suppose -4*q - q = -u. Factor -6/7*o**q + 0*o - 6/7*o**4 - 2/7*o**5 - 2/7*o**2 + 0.
-2*o**2*(o + 1)**3/7
Let u = 8 + 1. Determine a, given that 2*a - 2*a**3 + 3*a**4 + 2*a**2 + 0*a**2 + 4*a**4 - u*a**4 = 0.
-1, 0, 1
Let a be (1/(-6))/(-6 + (-17)/(-3)). What is x in 0*x**3 - a*x**2 + 1/2*x**4 + 0 + 0*x = 0?
-1, 0, 1
Let y(n) = 21*n**3 + 16*n**2 - 5*n + 11. Let g = -1 + 12. Let d(o) = 4*o**3 + 3*o**2 - o + 2. Let i(t) = g*d(t) - 2*y(t). Factor i(h).
h*(h + 1)*(2*h - 1)
Let o = 62 - 62. Factor -s**2 - s**4 + 1/4*s + 1/4*s**5 + o + 3/2*s**3.
s*(s - 1)**4/4
Factor 5*g**3 + 10*g**4 - 3*g**4 - 2*g**4.
5*g**3*(g + 1)
Let x(p) = 3*p + 2*p**2 - 1 - p**2 + 0*p. Let o be x(-4). Factor 2 - 20*v**2 - 4*v + 24*v**o + 6*v**2 - 8*v**2.
2*(v - 1)*(3*v + 1)*(4*v - 1)
Let v = -42/13 - -249/65. Factor 0 + v*l - 3/5*l**2.
-3*l*(l - 1)/5
Let y(q) be the second derivative of -q**4/42 - 2*q**3/3 - 7*q**2 + 35*q. Factor y(g).
-2*(g + 7)**2/7
Let d = 30 - 28. Let i = -112 - -786/7. Solve 6/7*x**d + i - 6/7*x - 2/7*x**3 = 0.
1
Let k(y) be the third derivative of -y**7/70 + 3*y**5/20 + y**4/4 - 4*y**2. Factor k(l).
-3*l*(l - 2)*(l + 1)**2
Let q(v) be the first derivative of 3*v**4/4 + v**3/3 - 3*v**2/2 - v + 75. Factor q(k).
(k - 1)*(k + 1)*(3*k + 1)
Let k(m) be the third derivative of -m**8/20160 + m**7/7560 + m**4/8 + 3*m**2. Let c(l) be the second derivative of k(l). Suppose c(v) = 0. Calculate v.
0, 1
Let w(f) be the third derivative of 0*f**3 - 1/60*f**6 + 0*f + 0*f**5 + 0*f**4 + 0 - 1/70*f**7 + f**2. Factor w(a).
-a**3*(3*a + 2)
Factor -3/10*g**2 + 3/10*g - 1/10 + 1/10*g**3.
(g - 1)**3/10
Let c(d) = d**3 + 4*d**2 + d - 6. Let y be c(-4). Let n = 14 + y. Suppose 4/3*p - 10/3*p**n - 4/3*p**3 + 0 + 10/3*p**2 = 0. Calculate p.
-1, -2/5, 0, 1
Let g(f) = f**2 - 2. Let w(q) = -2*q + 4. Let i be w(3). Let o(p) = 6 + 3 + 3*p**2 - 6 - 5*p**2. Let c(t) = i*o(t) - 3*g(t). Solve c(m) = 0.
0
Let o(w) be the first derivative of w**6/3 + 2*w**5/5 - 3*w**4/2 - 2*w**3/3 + 2*w**2 - 1. Find i, given that o(i) = 0.
-2, -1, 0, 1
Let v = -100 - -105. Let n(q) be the third derivative of 1/30*q**v + 1/3*q**3 + 0 + 0*q - 1/6*q**4 - 3*q**2. Factor n(k).
2*(k - 1)**2
Let l(i) = i - 1. Let z be ((-1)/3)/((-8)/24). Let d be l(z). Factor -8*c**2 + 5 + d*c + 2 + 2*c - 3 - 6*c**3.
-2*(c + 1)**2*(3*c - 2)
Let f(y) = -3*y**4 - 30*y**3 - 10*y**2 + 17*y - 13. Let k(s) = -s**4 - 15*s**3 - 5*s**2 + 9*s - 6. Let q(g) = 6*f(g) - 13*k(g). Find v, given that q(v) = 0.
-1, 0, 1, 3
Let o(n) = n + 0*n**3 - 10*n**3 + 0*n + 9*n**2. Let a(q) = q**3 + q**2 + q. Let s(v) = -3*a(v) - o(v). Factor s(c).
c*(c - 2)*(7*c + 2)
Suppose q = 3, -3*b + 18 = 5*q - 3. Suppose -2 = g, b*x + 2*g + 12 = 6*x. Solve -x*h**3 + h + 2*h - h = 0.
-1, 0, 1
Suppose q + 5 = -4*i, 13 = q - 5*i - 9. Suppose 3*s = -l + 10, 0*s = 3*s - 2*l - q. Determine r so that 0 + 2/3*r**2 + 1/3*r + 1/3*r**s = 0.
-1, 0
Let p(t) be the second derivative of -2*t**6/105 - 4*t**5/35 - 2*t**4/21 + 8*t**3/21 + 6*t**2/7 - 24*t. What is d in p(d) = 0?
-3, -1, 1
Let f(g) be the third derivative of g**9/151200 + g**8/8400 + g**7/1050 + g**6/225 - g**5/20 + 3*g**2. Let u(d) be the third derivative of f(d). Factor u(w).
2*(w + 2)**3/5
Let d(b) = 2*b**2 + b - 1. Let h be d(1). Find j such that 2*j**3 + 6*j**h + 0*j - 1 + 6*j + 3 = 0.
-1
Suppose -1/6*l**4 - 2/3*l**3 + 0*l + 0 - 2/3*l**2 = 0. Calculate l.
-2, 0
Let k = 29/80 - -3/80. Let o be ((-8)/100)/(1/(-5)). Suppose -4/5*h**3 + o*h + 0 + k*h**2 = 0. What is h?
-1/2, 0, 1
Let f(o) be the second derivative of -o**7/14 + 3*o**6/10 - 9*o**5/20 + o**4/4 + 6*o. Solve f(n) = 0 for n.
0, 1
Let w = 4 + 0. Suppose d = -j, 2*d + w = -0. Find t, given that -t**2 + 2*t**4 - t**2 - t**4 + t**j = 0.
-1, 0, 1
Let b(q) be the second derivative of -q**5/20 + q**3/6 + 4*q. Suppose b(h) = 0. What is h?
-1, 0, 1
Let o(b) be the second derivative of -b**7/1260 + b**4/12 + 2*b. Let w(c) be the third derivative of o(c). Solve w(n) = 0 for n.
0
Let m = -647/4 - -163. Find l such that 1 - 15/4*l**2 - l - 1/2*l**3 + m*l**4 = 0.
-1, 2/5, 2
Suppose -7 - 13 = 5*d. Let p be 4/((-4)/d*14). What is h in -2/7*h**3 - 2/7*h**2 + p*h + 2/7*h**4 + 0 = 0?
-1, 0, 1
Let h(t) be the first derivative of t**7/14 + t**6/10 - 9*t**5/20 - t**4/4 + t**3 - 3*t + 7. Let c(j) be the first derivative of h(j). Factor c(f).
3*f*(f - 1)**2*(f + 1)*(f + 2)
Let y(t) be the second derivative of t**6/15 - t**5/10 - 4*t. Let z(f) = -10*f**4 + 11*f**3 - f**2. Let i(l) = -11*y(l) - 2*z(l). Factor i(w).
-2*w**2*(w - 1)*(w + 1)
Let h = 14 - 11. Let o(d) be the second derivative of -d**2 - d + 1/6*d**4 - 1/10*d**5 + 0 + 1/3*d**h. Let o(n) = 0. What is n?
-1, 1
Let a be 0 + 1/((-4)/(-8)). Factor 2*d**3 + d + d + 0*d + 3*d**2 - 7*d**a.
2*d*(d - 1)**2
Let r(q) be the third derivative of 0 + 2/105*q**6 - 4*q**2 + 0*q + 4/735*q**7 + 1/84*q**4 + 1/42*q**5 + 0*q**3. Find s such that r(s) = 0.
-1, -1/2, 0
Let w = 7/20 - -3/20. Let u = -24 + 27. Suppose v**2 + 0*v - 1/2 - w*v**4 + 0*v**u = 0. What is v?
-1, 1
Let r(q) be the third derivative of -1/36*q**4 - 1/27*q**3 + 1/180*q**6 + 0 + 0*q + 1/270*q**5 - 2*q**2. Factor r(x).
2*(x - 1)*(x + 1)*(3*x + 1)/9
Let l be (3/(-4))/(-3)*0. Let c(g) be the second derivative of 1/12*g**3 + 0 + 5/48*g**4 + l*g**2 - 2*g. Solve c(p) = 0 for p.
-2/5, 0
Let u(y) be the third derivative of -y**7/490 - 3*y**6/280 - y**5/70 - 6*y**2. Find m such that u(m) = 0.
-2, -1, 0
Let t = -18 + 75/4. Factor 0 + 3/2*g**2 - 3/4*g**3 - t*g.
-3*g*(g - 1)**2/4
Let o(q) be the second derivative of 0*q**2 + 0 - 1/6*q**4 - 1/10*q**5 - q + 0*q**3. Factor o(x).
-2*x**2*(x + 1)
Let s(g) = -g**2 + 9*g - 4. Let k be s(8). Suppose i - k*i = 0. Determine x so that 2*x**2 + i + 4/3*x = 0.
-2/3, 0
Let s be (-6)/(-4)*44/297. Factor -s*m**4 + 8/9*m**3 + 0 - 8/9*m**2 + 0*m.
-2*m**2*(m - 2)**2/9
Solve 1/2*f**2 - 3/2*f - 2 = 0 for f.
-1, 4
Let q(d) be the first derivative of -d**4/12 - 2*d**3/3 - 11*d**2/6 - 2*d - 28. Factor q(k).
-(k + 1)*(k + 2)*(k + 3)/3
Factor -15*c**2 - 2*c**4 + 3*c**3 - 5*c**3 + 8*c + 23*c**2.
-2*c*(c - 2)*(c + 1)*(c + 2)
Let o(j) = -4*j**2 - 7*j + 6. Let a(v) = v**3 - 8*v**2 - 3*v + 4. Let m be a(8). Let h(d) = -d**2 - d + 1. Let t(f) = m*h(f) + 4*o(f). Factor t(g).
4*(g - 1)**2
Factor 0*r + 2/3*r**4 - 4/9*r**3 + 10/9*r**5 + 0*r**2 + 0.
2*r**3*(r + 1)*(5*r - 2)/9
Suppose -2*b = 3*i + 3, -36*b - 5 = -35*b + 5*i. Determine f so that 0*f + 25/2*f**4 + b - 10*f**3 + 2*f**2 = 0.
0, 2/5
Let k = -53 - -56. Find i, given that -2*i + 4/7 - 16/7*i**4 + 12/7*i**2 + 6/7*i**5 + 8/7*i**k = 0.
-1, 2/3, 1
Let r = 42 - 25. Let f = -12 + r. Find t, given that f - t**3 - 2*t - 