+ 1)*(5*n + 3)
Suppose 6*j = 2*j - 20, -3*h + 65 = 2*j. Suppose 31*p**2 - h*p**3 - 37*p**2 - 9 - 39*p - 49*p**2 = 0. Calculate p.
-1, -3/5
Solve 2*l**2 + 2/7*l + 12/7*l**3 + 0 = 0.
-1, -1/6, 0
Let j(s) be the third derivative of -s**7/1155 + s**6/660 + 2*s**5/165 - s**4/33 - 35*s**2. Solve j(i) = 0 for i.
-2, 0, 1, 2
Suppose 2*a + 2 = a. Let k be (-6)/10 - 2/a. Suppose 2/5*v**2 - 4/5*v + k = 0. Calculate v.
1
Let v(p) = 3*p**2 - 8. Let t(y) = -15*y**2 + 39. Let r(q) = -4*t(q) - 21*v(q). Factor r(s).
-3*(s - 2)*(s + 2)
Let -2/13*i**4 + 0*i - 2/13*i**3 + 0 + 0*i**2 = 0. Calculate i.
-1, 0
Let i = -995 + 137309/138. Let x = i - -281/690. Factor 0 - 2/5*g + x*g**2.
2*g*(g - 1)/5
Let i(t) be the second derivative of -t**6/300 + t**5/50 - t**4/30 + t**2/2 - t. Let w(d) be the first derivative of i(d). Suppose w(j) = 0. Calculate j.
0, 1, 2
Let w(a) = a**4 + a**3 - a**2 - a - 1. Let f(j) = -9*j**4 - 29*j**3 - 47*j**2 - 43*j - 11. Let s(g) = -f(g) - 5*w(g). Factor s(k).
4*(k + 1)**2*(k + 2)**2
Let b(p) be the third derivative of p**6/540 - 4*p**5/135 + 7*p**4/108 - p**2 + 32*p. Factor b(q).
2*q*(q - 7)*(q - 1)/9
Let y(v) be the first derivative of 2/9*v**3 - 3 + 0*v**2 - 2/3*v. Suppose y(g) = 0. What is g?
-1, 1
Let w(h) = 8*h**3 + 9*h**2 - h - 9. Let k(o) = 4*o**3 + 4*o**2 - 4. Let g(p) = -7*k(p) + 4*w(p). Factor g(v).
4*(v - 1)*(v + 1)*(v + 2)
Let u(g) = -g**3 + 3*g. Let j(p) = p**3 + 2*p**2 - 2*p. Let x(i) = 2*i**3 + 5*i**2 - 3*i. Let q(y) = 5*j(y) - 2*x(y). Let r(s) = 2*q(s) + 3*u(s). Factor r(m).
-m*(m - 1)*(m + 1)
Suppose 5*z - 63 = -2*x - x, x - 2*z = 32. Factor -8*q**2 - x + 24*q + 5 + 3.
-2*(2*q - 3)**2
Let t(r) be the second derivative of 49*r**6/165 - 7*r**5/11 - 199*r**4/66 - 92*r**3/33 - 12*r**2/11 - 4*r. Let t(m) = 0. What is m?
-1, -2/7, 3
Suppose -3*r - 3*m - m = -3, 5*r - 40 = 5*m. Suppose -r = -2*k - 1. Factor 2/7*b**k + 2/7*b + 0.
2*b*(b + 1)/7
Let f = -797 + 2392/3. Factor 0*s + 0*s**2 + 0 + 1/6*s**5 + f*s**4 + 1/6*s**3.
s**3*(s + 1)**2/6
Factor -14*x**4 - 2*x**3 + 12*x**3 - 10*x**2 + 14*x**2.
-2*x**2*(x - 1)*(7*x + 2)
Let m(o) be the second derivative of 2*o + 0 + 0*o**2 - 1/6*o**4 + 0*o**3. Let m(q) = 0. What is q?
0
Let d be ((-4)/10)/(0 - 1). Let b be (-9)/30*(-40)/30. Factor -4/5*k**2 + b*k**3 + d*k + 0.
2*k*(k - 1)**2/5
Let c(o) = -5*o**3 + 8*o**2 - 11*o - 3. Let f(d) = -6*d**3 + 8*d**2 - 12*d - 4. Let y(m) = -4*c(m) + 3*f(m). Solve y(g) = 0.
0, 2
Let j(v) be the third derivative of -v**7/735 + 2*v**6/105 - 4*v**5/35 + 8*v**4/21 - 16*v**3/21 - 21*v**2. Solve j(l) = 0.
2
Let n = -6 - -8. Suppose 3*v + 12 = -3*o, 4*v - 2*o - 9 + 1 = 0. Factor -2/3*k**n + 0 + v*k.
-2*k**2/3
Let h be 104/10*4/16. Let k = h - 21/10. Factor -3/2*y**4 + 3/2*y - y**3 + y**2 - k*y**5 + 1/2.
-(y - 1)*(y + 1)**4/2
Let f be (-2)/((-12)/(-9) + -2). Suppose g + f*g - 16 = 0. Factor -4*b**4 - b**4 - b**5 - b**4 + 4*b**g + 2*b**2 + b.
-b*(b - 1)*(b + 1)**3
Let u(p) be the third derivative of p**6/20 - 8*p**5/15 + 5*p**4/4 + 6*p**3 - 19*p**2. Factor u(i).
2*(i - 3)**2*(3*i + 2)
Let c(r) be the second derivative of r**8/1344 - r**6/480 - r**2 + r. Let q(z) be the first derivative of c(z). Determine d so that q(d) = 0.
-1, 0, 1
Let d(o) be the third derivative of 0*o + 0*o**4 + 0 + 1/280*o**6 + 3*o**2 - 1/140*o**5 + 0*o**3. Factor d(f).
3*f**2*(f - 1)/7
Let i be 1 - (-5 - -2)*-1. Let c be i/(-40) - (-3)/4. Find h such that 11/5*h + c*h**3 - 13/5*h**2 - 2/5 = 0.
1/4, 1, 2
Suppose -83 = -4*k + 1. Let u be k/(-18) - (-15)/10. Find a, given that 1/3*a**3 + 1/3*a**2 - 1/3 - u*a = 0.
-1, 1
Let f(j) be the third derivative of j**5/60 + j**4/6 + j**3/2 - 3*j**2. Factor f(t).
(t + 1)*(t + 3)
Let 0*g**3 + g**3 - g**4 - 4*g**5 + 3*g**5 + 5*g**2 - 4*g**2 = 0. What is g?
-1, 0, 1
Suppose 18*o = 16*o + 4. Find p such that -6/5*p + 4/5 - 14/5*p**3 - 24/5*p**o = 0.
-1, 2/7
Let o(f) = 6 - 3 - f**3 - 6*f**2 - f**2. Let z be o(-7). Solve 3*j**3 - j - 3*j**2 + 6*j**4 - 2*j - z*j**4 = 0 for j.
-1, 0, 1
Let g(u) be the first derivative of 0*u - 2/3*u**3 + 0*u**2 - 1/105*u**5 - 1/21*u**4 - 1/1260*u**6 + 1. Let z(o) be the third derivative of g(o). Factor z(a).
-2*(a + 2)**2/7
Let u(c) be the second derivative of 0*c**3 - 2*c + 0*c**2 + 0 + 1/12*c**4. Let u(v) = 0. What is v?
0
Suppose a = 6*a + 70. Let o = -10 - a. Factor -11*m - 1 - 21*m**2 - 1 - 8*m**o - 17*m**3 + 3*m**4.
-(m + 1)**3*(5*m + 2)
Let g(a) be the third derivative of 0 + 3*a**2 + 7/12*a**4 - 7/60*a**6 + 2/3*a**3 + 0*a - 1/15*a**5. Factor g(v).
-2*(v - 1)*(v + 1)*(7*v + 2)
Let x = 93/202 - -4/101. Factor x*r + 1/2*r**2 - 1.
(r - 1)*(r + 2)/2
Let v(k) be the second derivative of 0 - 1/20*k**5 - 1/24*k**4 - k + 0*k**3 - 1/60*k**6 + 0*k**2. Factor v(p).
-p**2*(p + 1)**2/2
Let s(k) be the third derivative of 0*k**3 + 0*k - 1/105*k**7 + 0 + 1/30*k**5 - 1/30*k**6 + 1/6*k**4 - 3*k**2. Factor s(a).
-2*a*(a - 1)*(a + 1)*(a + 2)
Factor 9*y**4 - 2*y**5 - y**5 - 7 - 6*y**3 + 7.
-3*y**3*(y - 2)*(y - 1)
Let c(u) = -60*u**3 - 59*u**2 + 5*u + 4. Let j(x) = x**3 - x. Let n(q) = 5*c(q) - 15*j(q). Suppose n(h) = 0. Calculate h.
-1, -2/9, 2/7
Let z(v) be the second derivative of -v**6/6 - v**5/4 + 5*v**4/2 + 10*v**3/3 - 20*v**2 + v. Find h such that z(h) = 0.
-2, 1, 2
Let k(x) be the first derivative of x**6/36 - x**5/20 - x**4/6 - x**3 - 2. Let r(v) be the third derivative of k(v). Factor r(o).
2*(o - 1)*(5*o + 2)
Determine b, given that 0*b**2 + 1/2*b**3 - 1/2*b + 0 = 0.
-1, 0, 1
Let y(f) be the third derivative of f**5/40 + 7*f**4/64 - f**3/8 + 12*f**2. Find w such that y(w) = 0.
-2, 1/4
Let g(r) be the first derivative of 3 + r**2 + 0*r - 4/3*r**3 + 1/2*r**4. Factor g(i).
2*i*(i - 1)**2
Let h(z) = -3*z**2 - z. Let d(m) = 6*m**2 + 3*m. Let r(q) = -4*d(q) - 9*h(q). Suppose r(s) = 0. Calculate s.
0, 1
Let z(t) be the first derivative of -2*t**9/2079 + 17*t**7/4620 - t**5/660 - t**3 + 3. Let p(f) be the third derivative of z(f). Find w such that p(w) = 0.
-1, -1/4, 0, 1/4, 1
Determine t so that 1/4*t**3 + 3/4 + 5/4*t**2 + 7/4*t = 0.
-3, -1
Let k(r) = -2*r - 7. Let q be k(-6). Let l(a) = -a**2 - 9*a + 2. Let o be l(-9). Find u such that -1 - q + 10*u**2 + o + 6*u = 0.
-1, 2/5
Factor -2*u + 6*u**2 + 0*u**2 - 2*u**3 + 0*u**2 - 2*u**2.
-2*u*(u - 1)**2
Let n(i) = i**2 - i + 4. Let g be n(0). Let t(z) = 5*z**3 - 11*z**2 + 6*z. Let s(h) = h**3 - 2*h**2 + h. Let q(x) = g*t(x) - 22*s(x). Find w such that q(w) = 0.
-1, 0, 1
Let f(y) be the third derivative of -1/30*y**4 + 0*y**3 + 1/150*y**6 - 4*y**2 + 0 + 0*y - 1/150*y**5 + 1/525*y**7. Find a such that f(a) = 0.
-2, -1, 0, 1
Let p = -5 + 5. Let z(t) be the third derivative of 1/90*t**5 - t**2 + 0*t + 1/180*t**6 + 0*t**3 + p + 0*t**4. Factor z(q).
2*q**2*(q + 1)/3
Let w(i) be the third derivative of i**8/1176 + i**7/147 + 3*i**6/140 + i**5/30 + i**4/42 + 27*i**2. What is f in w(f) = 0?
-2, -1, 0
Let c be -2*((-10)/4 - -2). Let g be -1*(-1)/(c/2). Determine t, given that 0*t - 1/5 + 1/5*t**g = 0.
-1, 1
Find t, given that -4/5 - 18/5*t**2 + 6/5*t**4 - 2/5*t**3 + 18/5*t = 0.
-2, 1/3, 1
Let q be (3 - 2) + 4*2. Let a be 20/q + (-4)/18. Let -a*w + 4 + 2*w**3 - 4 = 0. Calculate w.
-1, 0, 1
Determine x, given that 0 - 12/7*x - 3/7*x**2 = 0.
-4, 0
Let i(b) be the second derivative of 7*b**6/30 + 23*b**5/20 + 5*b**4/3 + 2*b**3/3 - 46*b. Suppose i(l) = 0. Calculate l.
-2, -1, -2/7, 0
Let o be (12/16)/((-3)/(-2)). Let z = 13/2 - 6. Factor -o*g + 7/4*g**4 + 0 - 7/4*g**2 + z*g**3.
g*(g - 1)*(g + 1)*(7*g + 2)/4
Factor -9*v + 17*v + 4*v**2 + 0*v**3 - 3*v**3 + v**3 - v**4.
-v*(v - 2)*(v + 2)**2
Let a(c) = -15*c**2 + 60*c - 90. Let o(u) = -8*u**2 + 30*u - 45. Let x(j) = -3*a(j) + 5*o(j). Factor x(z).
5*(z - 3)**2
Suppose -1 + 5 = x - b, -4*x + 18 = -5*b. Solve 4*w**3 - 3*w**2 - x*w + 0*w - w**3 - 4*w**3 = 0.
-2, -1, 0
Let a = 9 - 6. Suppose s + z = 4 + 3, a = z. Factor 10*n**4 + 7*n**5 + n**3 - n**s + n**3.
n**3*(n + 1)*(7*n + 2)
Let u(s) = -s**3 + 13*s**2 - 13*s + 16. Let n be u(12). Suppose n*j - 2*j = 0. Factor j*z + 2/3*z**4 - 1/3*z**5 + 0 - 1/3*z**3 + 0*z**2.
-z**3*(z - 1)**2/3
Let s be (-8)/(-3)*(-3)/2 - -6. Factor -3/4 + 1/4*r**s + 1/2*r.
(r - 1)*(r + 3)/4
Let u(f) = 28*f**3 - 76*f**2 + 48*f - 20. Let p(k) = 4*k**3 - 11*k**2 + 7*k - 3. Let x(n) = -20*p(n) + 3*u(n). Solve x(g) = 0.
0, 1
Let 20 - g - 4*g - 5