 be the first derivative of t(n). Solve m(g) = 0.
-1, 0, 1
Let a(l) be the second derivative of l**8/6720 + l**7/2520 - l**4/4 - 2*l. Let g(d) be the third derivative of a(d). Factor g(r).
r**2*(r + 1)
Let c = 9 - 5. Let b(n) = 3*n**5 - 6*n**3 - n. Let t(r) = 7*r**5 + r**4 - 12*r**3 + r**2 - 2*r. Let j(o) = c*t(o) - 9*b(o). Factor j(p).
p*(p + 1)**4
Factor 2*x + 2*x - 2 - 2 + 3*x**2 + x**2 - 4*x**3.
-4*(x - 1)**2*(x + 1)
Let k(h) be the second derivative of -7*h**5/10 - 22*h**4/9 - 4*h**3/9 + 18*h. Let k(j) = 0. What is j?
-2, -2/21, 0
Find g, given that -66 - 12*g - 6/11*g**2 = 0.
-11
Let d(b) be the second derivative of 7*b**6/540 + b**5/135 + b**2 - 4*b. Let t(a) be the first derivative of d(a). Find q such that t(q) = 0.
-2/7, 0
Let z(x) = -2*x + 10. Let c be z(8). Let k = c + 8. Find l such that -2 + 2*l**2 - l**2 - k*l**2 + 3*l = 0.
1, 2
Let y(o) be the first derivative of -o**5 + 5*o**4 - 20*o**3/3 - 21. Determine q, given that y(q) = 0.
0, 2
Let z(f) be the second derivative of 5*f**7/14 - f**6/3 - 5*f**5/2 + 5*f**4 - 5*f**3/6 - 5*f**2 + 66*f. Factor z(l).
5*(l - 1)**3*(l + 2)*(3*l + 1)
Let v(b) = -4*b**3 + 3*b**3 + 4*b**3 + 3*b**2. Let y(n) = 11*n**2 + 7*n**3 - 5*n**2 + n**2. Let h(o) = -5*v(o) + 2*y(o). Factor h(t).
-t**2*(t + 1)
What is f in 2/5*f**2 + 4*f + 10 = 0?
-5
Suppose 0 = -2*c - c + 12. Let y be (c/(-50))/(4/(-60)). Solve -3/5*u**2 + 0 + y*u = 0.
0, 2
Let k be (5/(-10))/((-1)/2) - -1. Let w(l) be the second derivative of 2*l + 0*l**k - 1/120*l**5 + 0 - 1/36*l**3 - 1/36*l**4. Factor w(h).
-h*(h + 1)**2/6
Let r(m) = m**2 - 6*m + 3. Let t be r(6). What is u in -1/2*u**2 + 1/4*u**t + 0 + 0*u = 0?
0, 2
Let f = 3613/8442 - 14/603. Let d = f + 1/6. Determine s so that -2/7*s - 2/7*s**3 + 0 + d*s**2 = 0.
0, 1
Let j(r) be the first derivative of -r**4/10 + 8*r**3/15 - 4*r**2/5 - 1. Factor j(o).
-2*o*(o - 2)**2/5
Let f = -536 - -9114/17. Determine x, given that -f*x**3 - 14/17*x - 10/17*x**2 - 6/17 = 0.
-3, -1
Let y(i) = 5*i**3 + 3*i**2. Let p(t) = 2*t**3 + t**2. Let k(h) = 8*p(h) - 3*y(h). Let k(d) = 0. What is d?
0, 1
Let l = -29 - -29. Let o(m) be the second derivative of -m + 2/3*m**2 + 1/36*m**4 + l - 2/9*m**3. Factor o(g).
(g - 2)**2/3
Suppose 9*d = 6*d. Let g(c) be the third derivative of 0*c + 0*c**3 - 1/120*c**5 + 1/240*c**6 + 0 + d*c**4 + c**2. Factor g(i).
i**2*(i - 1)/2
Let z be -5 + 92/10 + -4. Let m(a) be the first derivative of 1 + 0*a - z*a**2 - 1/25*a**5 + 1/10*a**4 + 1/15*a**3. Factor m(c).
-c*(c - 2)*(c - 1)*(c + 1)/5
Let k(d) be the second derivative of 11*d**7/42 - d**6/15 - 11*d**5/20 + d**4/6 - 44*d. Determine m so that k(m) = 0.
-1, 0, 2/11, 1
Let a(x) be the third derivative of -x**7/2520 + x**6/240 - x**5/60 - 5*x**4/24 - 5*x**2. Let z(n) be the second derivative of a(n). Factor z(y).
-(y - 2)*(y - 1)
Let g(k) be the third derivative of -5*k**2 + 0 + 0*k**3 + 0*k + 1/84*k**8 + 0*k**4 + 4/15*k**6 + 2/21*k**7 + 4/15*k**5. Let g(f) = 0. Calculate f.
-2, -1, 0
Let q(x) be the third derivative of -2*x**6/105 - 16*x**5/105 - 13*x**4/42 - 2*x**3/7 + 25*x**2. Factor q(s).
-4*(s + 3)*(2*s + 1)**2/7
Let j(b) = 14*b - 28. Let o be j(2). Let l(n) be the second derivative of 1/150*n**6 - n + 0 + 1/100*n**5 - 1/30*n**3 + o*n**2 - 1/60*n**4. Solve l(v) = 0.
-1, 0, 1
Let r(h) be the first derivative of 2*h**6/3 + 12*h**5/5 + h**4 - 4*h**3 - 4*h**2 - 5. Factor r(d).
4*d*(d - 1)*(d + 1)**2*(d + 2)
Factor -2/3 - 7/3*o - 1/3*o**4 - 3*o**2 - 5/3*o**3.
-(o + 1)**3*(o + 2)/3
Let i(t) be the second derivative of -3*t**5/20 + t**4/2 + 6*t. Suppose i(l) = 0. What is l?
0, 2
Let a(p) be the third derivative of 1/15*p**5 + 1/168*p**8 + 0 - 1/3*p**3 + 1/12*p**4 - 1/30*p**6 - 7*p**2 + 0*p - 1/105*p**7. Solve a(m) = 0.
-1, 1
Solve 4*j**5 + 3*j**3 + 4*j**4 - j**5 - 10*j**4 = 0 for j.
0, 1
Let a(k) = 3*k + 33. Let i be a(0). Let j be ((-6)/(-28))/(i/44). Factor 4/7 - 4/7*b**2 - j*b + 2/7*b**3.
2*(b - 2)*(b - 1)*(b + 1)/7
Let m = 248 - 248. Factor -3/2*q**3 + 0*q + m + 0*q**2.
-3*q**3/2
Suppose -4*l + 4 = 4*o, 4*l = -3*o + 5*o - 20. Factor -2/5 + 48/5*t**3 - 44/5*t**2 - 18/5*t**o + 16/5*t.
-2*(t - 1)**2*(3*t - 1)**2/5
Let g be 2/(((-28)/(-8))/7). Find v, given that 4*v - 2*v + 5*v**2 - g*v**2 + 1 + 0 = 0.
-1
Let s = 3 - 3. Let q be 3/6*2 - s. Let d(b) = -b**3 + b**2. Let m(k) = k**4 + 6*k**3 + k. Let l(o) = q*m(o) + 3*d(o). Factor l(h).
h*(h + 1)**3
Let h(v) be the second derivative of -v**5/4 - 5*v**4/6 - 5*v**3/6 + 6*v. Factor h(l).
-5*l*(l + 1)**2
Let n(k) be the second derivative of 2*k**6/15 + 2*k**5/5 - 4*k**3/3 - 2*k**2 + 24*k. Factor n(l).
4*(l - 1)*(l + 1)**3
Let u(z) = z**2 - z. Let f(s) = -s**4 - 2*s**3 + 5*s**2 - 2*s. Let t(d) = 5*f(d) - 20*u(d). Factor t(b).
-5*b*(b - 1)*(b + 1)*(b + 2)
Suppose 0 = -k - 39. Let t(x) = 7*x**4 + 7*x**3 - 7*x**2 + 6*x. Let j(b) = -b**4 - b**3 + b**2 - b. Let u(h) = k*j(h) - 6*t(h). Solve u(p) = 0.
-1, 0, 1
What is z in -3*z**4 + 0*z**3 + z**5 - 2*z**3 - z**2 - z**3 + 6*z**3 = 0?
0, 1
Let p(o) be the third derivative of -o**6/360 - o**5/120 + o**3/2 - 2*o**2. Let n(u) be the first derivative of p(u). Factor n(t).
-t*(t + 1)
Let m(o) be the second derivative of 108*o**5/65 - 18*o**4/13 + 6*o**3/13 - o**2/13 + 10*o. Determine x, given that m(x) = 0.
1/6
Let c = -31 + 43. Let k(p) = -9*p**3 - p**2 + 5*p - 5. Let s(m) = 22*m**3 + 2*m**2 - 12*m + 12. Let u(j) = c*k(j) + 5*s(j). Find d such that u(d) = 0.
0, 1
Let x(c) be the first derivative of 0*c + 1/900*c**6 + 2/3*c**3 + 1/60*c**4 - 2 - 1/150*c**5 + 0*c**2. Let v(a) be the third derivative of x(a). Factor v(s).
2*(s - 1)**2/5
Let s = 61 + -58. Let b(c) be the second derivative of 3/16*c**4 + 0 - 1/8*c**s - 3/4*c**2 - 2*c. Suppose b(w) = 0. Calculate w.
-2/3, 1
Let a be 0*3/12 + 6/135. Let j(t) be the second derivative of -t + 1/9*t**4 + 0 + 1/63*t**7 - a*t**6 + 0*t**5 - 1/9*t**3 + 0*t**2. Factor j(l).
2*l*(l - 1)**3*(l + 1)/3
Find h such that -8/11*h**2 + 4/11 - 2/11*h - 2/11*h**5 + 4/11*h**3 + 4/11*h**4 = 0.
-1, 1, 2
Factor -12/5*u + 12/5*u**4 + 3/5*u**5 + 24/5 - 6*u**2 + 3/5*u**3.
3*(u - 1)**2*(u + 2)**3/5
Let o = 27 - 24. Let q(i) be the second derivative of -2*i**2 + 0 + 2/3*i**3 - 1/10*i**5 + 1/4*i**4 - o*i - 1/30*i**6. Factor q(a).
-(a - 1)**2*(a + 2)**2
Let f = 18 - 34. Let h = 19 + f. Suppose 0 + 3/7*i**h + 3/7*i + 6/7*i**2 = 0. What is i?
-1, 0
Let r(k) be the second derivative of -k**6/180 - 11*k**5/240 - k**4/12 + k**3/8 + 26*k. Factor r(g).
-g*(g + 3)**2*(2*g - 1)/12
Factor o**2 + 9*o - 27 + 13*o - 4*o**2 - 4*o.
-3*(o - 3)**2
Find s such that 50/11*s**2 + 14/11*s**4 + 2/11*s**5 + 32/11*s + 38/11*s**3 + 8/11 = 0.
-2, -1
Let o(n) = -35*n**2 - 70*n - 80. Let y(t) = -t**2 - t. Let s(b) = -o(b) + 30*y(b). Determine v so that s(v) = 0.
-4
Suppose -317*t + 4*t**2 - 3*t**2 + 311*t + 9 = 0. What is t?
3
Let k(n) be the second derivative of n**7/84 - n**6/20 + n**5/20 + n**4/12 - n**3/4 + n**2/4 - 34*n. Factor k(r).
(r - 1)**4*(r + 1)/2
Let u(k) be the first derivative of -k**3/12 + 5*k**2/4 - 25*k/4 + 46. Factor u(y).
-(y - 5)**2/4
Let t(o) = -o**2 + 10*o - 3. Let d be t(8). Solve -9*q**3 + 7*q**4 + 27*q**2 - 5*q**3 - 2*q**3 - 7*q**3 + 2 - d*q = 0.
2/7, 1
Let q(n) be the second derivative of 7*n**5/5 - 5*n**4/3 - 4*n**3/3 + 9*n. Suppose q(r) = 0. What is r?
-2/7, 0, 1
Let p(b) = -b**3 + 17*b**2 + 2*b - 34. Let o be p(17). Let w be -2 + (-5)/((-30)/16). Solve -1/3*x**2 + o - w*x = 0.
-2, 0
Let v(p) be the third derivative of p**10/15120 - p**8/1680 + p**6/360 - p**4/24 + p**2. Let q(o) be the second derivative of v(o). Factor q(h).
2*h*(h - 1)**2*(h + 1)**2
Let g(y) be the first derivative of -y**4/7 + 2*y**3/7 - 2*y/7 - 8. Factor g(o).
-2*(o - 1)**2*(2*o + 1)/7
Factor -40*m**2 + m**4 + 5*m**3 - 2*m - 79*m + 4*m**4 + 21*m.
5*m*(m - 3)*(m + 2)**2
Let h(n) = n**2 - n. Let d(y) = -3*y**2 + 7*y - 4. Let b(c) = 3*d(c) + 12*h(c). Factor b(r).
3*(r - 1)*(r + 4)
Let z(s) be the first derivative of -s**6/2 + 3*s**5/5 + 3*s**4/4 - s**3 + 1. Solve z(n) = 0 for n.
-1, 0, 1
Solve -6*r**3 - 1 + 10*r**3 + 6*r**2 + 1 - 4*r = 0 for r.
-2, 0, 1/2
Let f be ((-14)/49)/((-3)/21*1). Find u, given that 5/6*u**f + 0 + 1/3*u = 0.
-2/5, 0
Let r(i) = i**2 - 2*i + 1. Let k be r(-2). Let -7*m**2 + 4*m**2 + 7*m**2 + 3 - 3*m**3 + 5*m**2 - k*m = 0. Calculate m.
1
Let o be (6/