at is f?
-1, 0, 1
Let f(c) be the first derivative of -c**4/3 - 4*c**3/3 - 2*c**2 + 4*c - 7. Let r(p) be the first derivative of f(p). Let r(y) = 0. Calculate y.
-1
Suppose -32 = -8*l + 4*l. Let p = l - 8. Determine r so that p + 0*r + 2/5*r**2 + 2/5*r**4 - 4/5*r**3 = 0.
0, 1
Factor 0*d + 0 - 2/9*d**3 + 2/9*d**5 + 2/9*d**4 - 2/9*d**2.
2*d**2*(d - 1)*(d + 1)**2/9
Suppose 3*p + 3*j = -1 - 23, -5*p + 2*j - 19 = 0. Let s = -3 - p. Determine k, given that -5*k**2 + 6*k**3 + 0*k**s + k**3 + 7*k**2 = 0.
-2/7, 0
Factor 303*x**2 - 24 - 152*x**2 - 147*x**2 - 20*x.
4*(x - 6)*(x + 1)
Suppose -3*t + 8 = -t. Suppose -44 = -4*l + 4*v, t*l + 3*v + v = 20. Factor 8 + 152*x + 489*x**3 + 460*x**2 - 39*x**3 + l.
2*(5*x + 2)**2*(9*x + 2)
Find m, given that -18/7*m + 3/7*m**2 + 3/7*m**3 + 0 = 0.
-3, 0, 2
Let o = 44 - 175/4. Factor -o*w**3 + 0*w + 0*w**2 + 0.
-w**3/4
Let r = -2 - 0. Let s(d) = 2*d**2 - 1. Let v be s(r). Solve -3*h + 2 + 4*h**2 - v*h**2 - 2 = 0 for h.
-1, 0
Suppose -o + 5 = 2*n - 0*o, -4*n + 13 = o. Suppose -2*b + 5*s = -20 + 1, n*s + 12 = 0. Factor 0 + 2/3*h + h**b - 5/3*h**3.
-h*(h - 1)*(5*h + 2)/3
Let w(j) be the first derivative of -6/35*j**5 - 1/7*j**4 + 4/21*j**3 + 3/7*j**2 - 1/21*j**6 + 2/7*j + 2. Suppose w(b) = 0. Calculate b.
-1, 1
Determine v so that 0*v + 0 + 0*v**2 + 2*v**4 + 12/5*v**3 + 2/5*v**5 = 0.
-3, -2, 0
Let g be ((-1)/3)/((-3)/90). Suppose n - g = -2*x - 1, -4*x + 23 = 3*n. Factor -6/7*t**x + 10/7*t - 4/7.
-2*(t - 1)*(3*t - 2)/7
Let f(q) be the third derivative of 4*q**2 + 1/84*q**6 + 0*q + 0 - 1/1176*q**8 + 4/21*q**3 - 2/21*q**4 - 1/735*q**7 + 1/210*q**5. What is t in f(t) = 0?
-2, 1
Determine n, given that 0 - 4*n**3 - 20/7*n**4 + 0*n - 8/7*n**2 = 0.
-1, -2/5, 0
Let u(h) = h**3 + 3*h**2 + 3*h. Let p be u(-2). Let t be (p - -1)*2/(-1). Let 2*j**2 - 1 - 2*j**t + j**2 = 0. What is j?
-1, 1
Let s = 5 + -3. Let v(f) = f**3 - f**2 - 2. Let h be v(s). Suppose 2/7*n**3 + 0 + 0*n**h + 0*n = 0. Calculate n.
0
Suppose -9*k + 17*k**2 - 2*k**4 - 15*k**3 + 5*k**2 + 5*k**4 - k**2 = 0. Calculate k.
0, 1, 3
Factor y**5 + 3*y**5 - 393*y**4 + 389*y**4.
4*y**4*(y - 1)
Factor -89*f**2 + 28*f - 21*f**4 - 6*f**5 + 54*f**3 - 4*f + 9*f**5 + 29*f**2.
3*f*(f - 2)**3*(f - 1)
Let s(i) be the second derivative of i**7/63 + 7*i**6/45 + i**5/3 - i**4 - 3*i**3 + 9*i**2 + 4*i. Let s(z) = 0. What is z?
-3, 1
Let z(n) be the third derivative of n**7/2520 + n**6/360 + n**5/180 + n**3/6 + 2*n**2. Let l(q) be the first derivative of z(q). Factor l(h).
h*(h + 1)*(h + 2)/3
Let u(y) be the third derivative of 0 + 0*y**3 - 1/40*y**6 - 1/20*y**5 + 0*y**4 + 8*y**2 + 0*y. Factor u(r).
-3*r**2*(r + 1)
Let f(m) be the first derivative of m**5 + 25*m**4/4 + 35*m**3/3 + 15*m**2/2 + 8. Find k such that f(k) = 0.
-3, -1, 0
Let i be ((-8)/20)/(14*(-2)/80). What is f in -6/7*f**2 - i*f - 2/7 = 0?
-1, -1/3
Let x(u) be the third derivative of -3*u**7/70 + u**6/6 - 13*u**5/60 + u**4/12 + 6*u**2. Suppose x(s) = 0. What is s?
0, 2/9, 1
Let r = 9 + -6. Let g be (42/10)/r + -1. Solve -g*f**4 + 0 + 0*f + 2/5*f**5 + 0*f**2 + 0*f**3 = 0 for f.
0, 1
Let 4*u**2 - 32/3*u + 16/3 = 0. What is u?
2/3, 2
Let m be (-126)/1200 - (-1)/8. Let x(i) be the third derivative of -2*i**2 + m*i**5 + 0 - 7/60*i**4 + 2/15*i**3 + 0*i. Factor x(n).
2*(n - 2)*(3*n - 1)/5
Let w(l) = 5*l**4 - 2*l**3 - 3*l**2 + 4*l + 2. Let u = 14 + -24. Let x = 6 + u. Let v(h) = h**4 + h + 1. Let s(n) = x*v(n) + 2*w(n). Factor s(k).
2*k*(k - 1)*(k + 1)*(3*k - 2)
Let b = 5 + -14. Let t(v) = 3*v**3 + 69*v**2 + 87*v + 39. Let z(f) = -f**3 - 17*f**2 - 22*f - 10. Let c(n) = b*z(n) - 2*t(n). Factor c(m).
3*(m + 1)*(m + 2)**2
Suppose 0 = 5*q - 2*q - 6. Factor -8 + 3 - s**q + 6*s - 4.
-(s - 3)**2
Let v(z) be the third derivative of -z**5/90 + z**4/18 - 3*z**2. Factor v(o).
-2*o*(o - 2)/3
What is j in -2*j - 6*j**3 + 5*j**2 + 3*j**4 - 2*j**2 + 2*j = 0?
0, 1
Factor 2/23*o**4 + 8192/23 + 768/23*o**2 - 4096/23*o - 64/23*o**3.
2*(o - 8)**4/23
Let c(i) be the third derivative of -i**7/105 + i**6/15 - i**5/5 + i**4/3 - i**3/3 - i**2 - 5*i. Factor c(p).
-2*(p - 1)**4
Let d(t) = t**2 + 5*t - 4. Let y(i) = -6*i + 3. Let f be 0 + (1*-4)/(-2). Let a(u) = f*y(u) + 3*d(u). Factor a(v).
3*(v - 1)*(v + 2)
Let h(r) be the third derivative of r**7/490 + r**6/56 + 9*r**5/140 + r**4/8 + r**3/7 - r**2. Let h(k) = 0. What is k?
-2, -1
Let n(v) = -7*v**2 + 54*v - 20. Let i(f) = 48*f**2 - 378*f + 140. Let h(x) = 6*i(x) + 44*n(x). Factor h(a).
-4*(a - 5)*(5*a - 2)
Solve -16/5*w**3 + 0*w + 5*w**5 + 4/5*w**2 + 0 + w**4 = 0.
-1, 0, 2/5
Let k(t) = 2*t**2 - 18*t - 18. Let l be k(10). Let d(b) = -6*b**3 + 2*b + 1. Let p be d(-1). Let l*v**p + 0*v**5 - v**4 - v**5 = 0. What is v?
0, 1
Let q(t) be the first derivative of 2*t**3/15 + 2*t**2/5 + 2*t/5 + 7. Find u such that q(u) = 0.
-1
Let u(j) be the third derivative of 0 - 1/12*j**4 + 1/6*j**3 + 0*j + 1/60*j**5 + j**2. Solve u(f) = 0.
1
Let p(j) = j**3 + 2*j**2 - 2*j - 2. Let k be p(-2). Let -2/3*s + 2/3*s**k - 4/3 = 0. Calculate s.
-1, 2
Let w = -2 + 6. Suppose -p + 2 - 6 - 2*p**2 - w*p - p = 0. Calculate p.
-2, -1
Factor -3/5*z**2 - 51/5*z + 0.
-3*z*(z + 17)/5
Let h(q) = 5*q**3 - 2*q**2 - q. Let y be h(-1). Let m be ((-4)/(-3))/(y/(-9)). Determine s so that 2*s**3 - 9*s**2 - m*s**5 - 2*s**4 + 0*s**3 + 11*s**2 = 0.
-1, 0, 1
Let b(k) be the first derivative of -2*k**5/5 + 3*k**4/2 - 2*k**3/3 - 3*k**2 + 4*k + 15. Factor b(s).
-2*(s - 2)*(s - 1)**2*(s + 1)
Suppose -3*r = 4*w + 186, -3*w = -4*r - 30 + 182. Let n be (w/(-40))/((-6)/(-20)). Factor 0*c - 6*c**5 - 2/3*c**2 - 2*c**n + 0 + 10/3*c**3.
-2*c**2*(c + 1)*(3*c - 1)**2/3
Let f(r) be the first derivative of 15*r**2 + 14/3*r**3 + 1/2*r**4 + 18*r - 7. Solve f(y) = 0 for y.
-3, -1
Let y(l) = -l**2 - 3*l - 3 + 3 + 4*l. Let k(w) = 10*w**2 - w. Let b(m) = k(m) + 3*y(m). Determine j so that b(j) = 0.
-2/7, 0
Let t = -39 + 157/4. Suppose 0 = 9*o - 10*o. Factor -1/2*f**4 + t*f**5 + 0 + o*f**2 + 0*f + 1/4*f**3.
f**3*(f - 1)**2/4
Let v(x) be the second derivative of -x**9/5040 - 3*x**8/2240 - x**7/280 - x**6/240 - 3*x**4/4 - x. Let d(a) be the third derivative of v(a). Factor d(r).
-3*r*(r + 1)**3
Factor 2*n**3 - 3*n**2 - 16*n + 6*n**4 - 4*n**3 - 3*n**2 + 18*n.
2*n*(n - 1)*(n + 1)*(3*n - 1)
Let d(s) be the third derivative of -1/735*s**7 - 1/210*s**5 + 0 + 0*s**3 + 0*s + 1/210*s**6 + 0*s**4 + 2*s**2. Factor d(z).
-2*z**2*(z - 1)**2/7
Factor 1/2*s**2 + 8 + 4*s.
(s + 4)**2/2
Let p(l) = -4*l - 17. Let b be p(-5). Determine m, given that -54/11*m**4 - 108/11*m**b - 16/11*m + 0 - 72/11*m**2 = 0.
-2/3, 0
Let b(s) = -s**4 + 21*s**3 + 4*s**2 + 6*s - 6. Let k(w) = -10*w**4 + 190*w**3 + 35*w**2 + 55*w - 55. Let u(t) = 55*b(t) - 6*k(t). Factor u(m).
5*m**2*(m + 1)*(m + 2)
Let l(o) = 4*o + 2*o - 2 + 10*o**2 + 2*o. Let i(m) = -10*m**2 - 8*m + 2. Let a(n) = 4*i(n) + 3*l(n). Find j such that a(j) = 0.
-1, 1/5
Let p(h) = h**3 + 2*h**2 - h - 2. Let u be (6 + 0)/(3/2). Let k(i) = 0*i**2 + 3 + i**2 - i**3 - u*i**2 + i. Let r(f) = 3*k(f) + 4*p(f). Factor r(l).
(l - 1)**2*(l + 1)
Let x(g) be the first derivative of 1/7*g**2 + 1 + 0*g - 2/21*g**3. Suppose x(n) = 0. What is n?
0, 1
Let y(a) = 3*a - 18. Let s be y(6). Factor -2/11*i**2 + s*i + 2/11*i**4 + 0 + 0*i**3.
2*i**2*(i - 1)*(i + 1)/11
Suppose 0*v + 15 = 5*v. Let r(j) be the first derivative of 2*j**v + 1 + 3*j - j**2 - 2*j**2 - j**3. Factor r(a).
3*(a - 1)**2
Factor -12/5*y + 16/5*y**2 + 2/5*y**4 + 12/5*y**3 - 18/5.
2*(y - 1)*(y + 1)*(y + 3)**2/5
Factor 3*p**5 + 0*p**3 + 2*p**3 - 5*p**3 - 5*p**2 + p**4 + 4*p**2.
p**2*(p - 1)*(p + 1)*(3*p + 1)
Let y be (-8)/(-12) - 2/(-6). Let q be (-5 - -1)*y/(-2). Factor 0 + 2/3*b + 2/3*b**q.
2*b*(b + 1)/3
Let j(x) be the second derivative of x**6/20 - x**4/4 + 3*x**2/4 + 6*x. Determine o, given that j(o) = 0.
-1, 1
Let m(i) be the first derivative of 7*i**4/36 + 8*i**3/9 + 2*i**2/3 + i - 3. Let c(g) be the first derivative of m(g). What is h in c(h) = 0?
-2, -2/7
Solve 8*a**4 - 8*a**4 + 4*a**5 + 0*a**4 = 0 for a.
0
Let u(p) be the second derivative of -3*p**5/140 - 3*p**4/7 - 24*p**3/7 - 96*p**2/7 + 13*p. Find b such that u(b) = 0.
-4
Let j(d) = -d + 8. Let g be j(4). Suppose 0*l - 3 = -l. Determine n so that -6*n**4 - n + 3*n - g*n**l + 6*n**2 - n**3 + 3*n**3 = 0.
-1, -1/3, 0, 1
Let j(h) = -3*h**2 + 1. Let p