*r**7/70 + r**6/10 + 13*r**5/20 + 3*r**4/4 - 21*r**2. Factor t(n).
-3*n*(n - 3)*(n + 1)*(3*n + 2)
Let w(n) = -n**2 - 10*n + 1. Let d be w(-10). Let p be d*(5 - (-9)/(-3)). What is a in 2/7 + 0*a - 2/7*a**p = 0?
-1, 1
Let p(x) be the third derivative of -x**6/720 + x**5/60 - x**4/12 + x**3/6 + 3*x**2. Let d(s) be the first derivative of p(s). Solve d(y) = 0 for y.
2
Factor -4/7*x + 2/7*x**2 + 2/7.
2*(x - 1)**2/7
Let v(b) be the first derivative of b**6/3 - 8*b**5/5 + 7. Factor v(s).
2*s**4*(s - 4)
What is v in 2/3*v**2 - 1/3*v**3 + 7/3*v + 4/3 = 0?
-1, 4
Let j(y) be the second derivative of 12*y**6/5 + 39*y**5/10 + 2*y**4/3 - 4*y**3/3 - 7*y. Factor j(q).
2*q*(3*q + 2)**2*(4*q - 1)
Suppose 3*a - 4*y = 14, -5*a + 0*a - y + 8 = 0. Factor -a*q**2 - 2 + 3*q**2 - 4 + 5.
(q - 1)*(q + 1)
Factor -1/4*u**3 - u + u**2 + 0.
-u*(u - 2)**2/4
Let q = -152 + 157. Suppose 6/7*u**4 + 2/7*u**q - 2/7 - 6/7*u + 4/7*u**3 - 4/7*u**2 = 0. Calculate u.
-1, 1
Let z(q) be the second derivative of q**6/65 + q**5/65 - 3*q**4/26 - 4*q**3/13 - 4*q**2/13 + q. Find n such that z(n) = 0.
-1, -2/3, 2
Let 3/2*j - 1/2*j**5 - j**3 + 3/2*j**4 - 1/2 - j**2 = 0. Calculate j.
-1, 1
Factor 12 - 20*d + 39*d - 9*d - 2*d**2.
-2*(d - 6)*(d + 1)
Let l(q) be the first derivative of -q**8/1176 - q**7/735 + q**6/420 + q**5/210 + 3*q**2/2 - 2. Let f(g) be the second derivative of l(g). Factor f(c).
-2*c**2*(c - 1)*(c + 1)**2/7
Solve 2/5 + 1/5*k**3 + 0*k**2 - 3/5*k = 0.
-2, 1
Suppose -4*m + 12 = 4*x, -m = -3*m. Determine z so that -2*z + 50*z**x - 4*z**2 - 48*z**3 + 4*z = 0.
0, 1
Let d = 56 + -167. Let r be (3 - d/(-36))*-3. Suppose -1/4*t + 1/4 + 1/4*t**3 - r*t**2 = 0. What is t?
-1, 1
Let l(n) be the second derivative of n**5/5 + n**4/3 - 10*n**3/3 + 6*n**2 + 7*n. Factor l(h).
4*(h - 1)**2*(h + 3)
Factor -5/3*l**3 + 2*l**2 - 8/3 + 1/3*l**4 + 4/3*l.
(l - 2)**3*(l + 1)/3
Let d(u) be the third derivative of -u**2 + 0 + 0*u + 2*u**3 + 1/4*u**5 + 1/40*u**6 + u**4. Find x such that d(x) = 0.
-2, -1
Let p(r) be the third derivative of -r**5/420 + r**4/168 + 7*r**2. Solve p(b) = 0.
0, 1
Let t(x) be the third derivative of -x**5/100 + 3*x**4/40 - 3*x**2. Suppose t(n) = 0. Calculate n.
0, 3
Let s be (1 - 3)/(2/(-5)). Factor -3*b**3 - b**5 + b + 0*b**3 + b**3 - 2 + 4*b**2 - 2*b**4 + 2*b**s.
(b - 2)*(b - 1)**2*(b + 1)**2
Let p(r) = 4*r**2 - r**2 - 5*r**2 - 9*r - 1. Let k(h) = -h**2 - 7*h - 1. Let x be k(-6). Let n(w) = -4*w**2 - 17*w - 3. Let t(b) = x*p(b) - 3*n(b). Factor t(g).
2*(g + 1)*(g + 2)
Let p be 2 + (-18)/15*-5. Find z, given that 27 + z**2 - 2 - 9 - p*z = 0.
4
Let p(o) = o**2 + 3. Let h(q) = -q - 9. Let t be h(-9). Let n be p(t). Let -4/5*b**n + 0 + 2/5*b**2 - 2/5*b**4 + 4/5*b = 0. What is b?
-2, -1, 0, 1
Let a(x) be the first derivative of -x**5/20 - x**4/4 - x**3/4 + 2. Factor a(p).
-p**2*(p + 1)*(p + 3)/4
Let -16 - 27*c**2 - 168*c - 686*c**3 - 325*c**2 - 236*c**2 = 0. What is c?
-2/7
Let x(r) be the first derivative of r**5/20 + 3*r**4/16 + r**3/12 - 3*r**2/8 - r/2 + 11. Let x(c) = 0. What is c?
-2, -1, 1
Solve -2*v**3 - 2*v + 2813*v**2 - 4 - 2821*v**2 - 8*v = 0 for v.
-2, -1
Suppose w = -p + 3*p - 5, 3*p = 4*w. Factor 19*a**2 - a + 0*a - a**4 - 18*a**2 + a**w.
-a*(a - 1)**2*(a + 1)
Let c(q) = q**2 - 11. Let h = 3 - 6. Let t(i) = 6. Let s(y) = h*c(y) - 5*t(y). Factor s(r).
-3*(r - 1)*(r + 1)
Let o be -2 + 3 + 3/(-5). Let n be 1/((-20)/(-16) - 1). Solve -2/5*b**2 + 2/5*b**n + o*b + 0 - 2/5*b**3 = 0.
-1, 0, 1
Let z(x) be the first derivative of -3/2*x**2 + 0*x**3 + 1/108*x**6 - 2 - 7/270*x**5 + 0*x + 1/54*x**4. Let l(a) be the second derivative of z(a). Factor l(i).
2*i*(i - 1)*(5*i - 2)/9
Let l = 47/150 - -1/50. Let g(s) be the first derivative of -17/9*s**3 + 2 + l*s**2 + 0*s + 10/9*s**6 + 4*s**4 - 53/15*s**5. Find w such that g(w) = 0.
0, 1/4, 2/5, 1
Let h(u) be the second derivative of -u**6/30 + u**5/15 + u**4/3 - 3*u**2 - 8*u. Let o(m) be the first derivative of h(m). Let o(a) = 0. What is a?
-1, 0, 2
Let c = 973/2 - 486. Factor -3/4 + c*n**2 + 5/4*n.
(n + 3)*(2*n - 1)/4
Suppose q + 5*g = -5 - 7, 2*q - 6 = 5*g. Let v be (10/(-225))/(q/10). Factor 2/9*w - 2/9 - 2/9*w**3 + v*w**2.
-2*(w - 1)**2*(w + 1)/9
Let m(l) be the first derivative of 11*l**4/4 - 5*l**3/2 + l**2/2 + 3. Factor m(r).
r*(2*r - 1)*(11*r - 2)/2
Let a(z) be the first derivative of 2*z**5/55 - 4*z**3/33 + 2*z/11 - 21. Factor a(g).
2*(g - 1)**2*(g + 1)**2/11
Find d, given that 0 + 30/7*d**4 + 12/7*d - 57/7*d**3 - 12/7*d**2 = 0.
-1/2, 0, 2/5, 2
Let y(l) be the second derivative of -3*l**5/100 - 3*l**4/20 - l**3/5 - 16*l. Factor y(h).
-3*h*(h + 1)*(h + 2)/5
Let x be 1*(-2 - (2 + -6)). Suppose -4*w + c = -2*w - 14, -w - 4*c = x. Factor 4*i**2 + 5*i**3 + 2*i**5 - 6*i - i**3 + 2 + 0*i**2 - w*i**4.
2*(i - 1)**4*(i + 1)
Suppose -9*i**4 + 20*i + 7*i**4 - 8*i**2 + 15*i**4 - 8 + 3*i**4 - 4*i**5 - 16*i**3 = 0. Calculate i.
-1, 1, 2
Let n(i) be the third derivative of i**6/420 + i**5/210 - i**4/84 - i**3/21 - 16*i**2. Factor n(t).
2*(t - 1)*(t + 1)**2/7
Let o(v) be the first derivative of 0*v + 2/9*v**3 - 2/3*v**2 - 5. Factor o(i).
2*i*(i - 2)/3
Let h(w) be the second derivative of -6*w - 1/6*w**4 + 0*w**2 + 0*w**3 + 0 + 0*w**5 + 1/15*w**6. Factor h(o).
2*o**2*(o - 1)*(o + 1)
Suppose -3*a = -7*s + 2*s - 6, -5*a + 3*s + 10 = 0. Suppose a*o - 2 = 2. Factor o - 2 + g**2 - g.
g*(g - 1)
Let v(j) be the first derivative of 3/2*j**3 + 3/10*j**5 - 3/4*j**2 - 9/8*j**4 + 0*j + 3. Find f such that v(f) = 0.
0, 1
Let c(u) be the second derivative of u**7/735 - u**6/420 - u**5/210 + u**4/84 + u**2/2 + 6*u. Let i(p) be the first derivative of c(p). Factor i(k).
2*k*(k - 1)**2*(k + 1)/7
Let z(c) = c**3 + 2*c**2 + 3*c. Let w(q) = 6*q**3 + 10*q**2 + 16*q. Let p be (1 - 6*-3) + -3. Let s(j) = p*z(j) - 3*w(j). Suppose s(g) = 0. What is g?
0, 1
Let l(r) be the third derivative of -r**6/120 + r**5/30 - r**4/12 + r**3/6 + r**2. Let c be l(1). Find a such that 0*a - 2/5*a**4 + 0*a**2 + 2/5*a**3 + c = 0.
0, 1
Let d = 1 - -2. Suppose v + 4 = 2*a - 0*a, -d*v - 2 = -a. Factor -1/2*w**a - 3/2*w**3 + w + 0.
-w*(w + 1)*(3*w - 2)/2
Let l(y) = y**4 - 5*y**2 + 4. Let d(h) = 2*h**3 - 4*h**2 + 3*h - 2. Let j be d(2). Let n(s) = -2*s**4 + 11*s**2 - 9. Let g(b) = j*n(b) + 9*l(b). Factor g(t).
t**2*(t - 1)*(t + 1)
Let d(r) be the third derivative of r**7/210 + r**6/60 - r**4/12 - r**3/6 - 17*r**2. Let d(g) = 0. Calculate g.
-1, 1
Let x(y) be the third derivative of 1/9*y**3 - 1/45*y**5 + 1/90*y**6 - 1/36*y**4 + 0 - 1/504*y**8 + 1/315*y**7 - y**2 + 0*y. Let x(i) = 0. What is i?
-1, 1
Factor -1/3*r**3 - 4/3 + 1/3*r**2 + 4/3*r.
-(r - 2)*(r - 1)*(r + 2)/3
Factor -16/3 - 2/3*b**2 - 6*b.
-2*(b + 1)*(b + 8)/3
Suppose -i - 6 = -10. Suppose -v = v - i. Find x, given that 5/4*x**v + 1/4*x + 0 + 2*x**3 + x**4 = 0.
-1, -1/2, 0
Suppose -z - 108 = -108. Factor -2/3*b + z + 1/3*b**2.
b*(b - 2)/3
Suppose -4*a - 5 = 7. Let i(s) = -36*s**3 - 206*s**2 - 244*s - 46. Let o(j) = -7*j**3 - 41*j**2 - 49*j - 9. Let q(v) = a*i(v) + 14*o(v). Factor q(y).
2*(y + 1)*(y + 3)*(5*y + 2)
Let x(m) be the first derivative of 2 + 1/21*m**6 + 1/7*m**2 + 0*m**3 + 0*m**5 - 1/7*m**4 + 0*m. Factor x(l).
2*l*(l - 1)**2*(l + 1)**2/7
Let -3/2 + 15/4*k + 3/4*k**3 - 3*k**2 = 0. What is k?
1, 2
Factor -1/2 + 1/2*t - 1/2*t**3 + 1/2*t**2.
-(t - 1)**2*(t + 1)/2
Let m(r) be the second derivative of 7*r + 0*r**2 - 2/13*r**5 + 5/39*r**6 + 2/39*r**4 + 0*r**3 + 0. Factor m(l).
2*l**2*(5*l - 2)**2/13
What is m in 0 - 2/9*m**2 - 4/9*m**3 + 0*m - 2/9*m**4 = 0?
-1, 0
Let j(p) be the third derivative of 1/240*p**5 + 0*p - 1/840*p**7 + 2*p**2 + 1/1344*p**8 + 0 - 1/480*p**6 + 0*p**4 + 0*p**3. Factor j(g).
g**2*(g - 1)**2*(g + 1)/4
Suppose 2*u + 0*u + 5*v = -616, u - 5*v + 293 = 0. Let c = -2723/9 - u. Let 2/9*n**2 - 2/9*n - c = 0. What is n?
-1, 2
Let b(g) be the first derivative of -g**8/84 + g**6/15 - g**4/6 - 9*g**2/2 - 4. Let p(y) be the second derivative of b(y). Factor p(v).
-4*v*(v - 1)**2*(v + 1)**2
Let l(k) = -2*k**3 - 2*k**2 - 2*k. Let y(z) = -z**4 - 5*z**2 - 2*z**3 + 2*z - 7*z - z**3. Let g(p) = -5*l(p) + 2*y(p). Factor g(d).
-2*d**3*(d - 2)
Let i = 85 - 85. Let x(v) be the first derivative of 0*v - 1/6*v**6 + 2 + 0*v**3 + i*v**2 - 1/4*v**5 - 1/16*v**4. Factor x(n).
-n**3*(n + 1)*(4*n + 1)/4
Let j(a) = a**3 - 11*a**2 + 6