4 + 2*d**4 + 4*d**3 = 0.
-1, 1, 2
Suppose b**2 + 2*b - 2*b**2 - 12*b**4 + b**3 + 13*b**4 - 3*b = 0. Calculate b.
-1, 0, 1
Let l(b) be the third derivative of -b**5/15 + 11*b**4/3 - 242*b**3/3 - 8*b**2. Solve l(v) = 0 for v.
11
Find n, given that -3/4 + 1/4*n**2 - 1/2*n = 0.
-1, 3
Let d(h) be the third derivative of -h**8/2240 + h**7/280 + 5*h**4/24 - h**2. Let r(v) be the second derivative of d(v). Factor r(i).
-3*i**2*(i - 3)
Let g be 1/(-3) + 72760/(-150). Let v = g - -487. Factor 0*h + v*h**2 + 0 + 2/5*h**4 + 8/5*h**3.
2*h**2*(h + 2)**2/5
Let b(k) be the second derivative of 49*k**6/50 - 231*k**5/100 + 8*k**4/5 - 2*k**3/5 - 23*k. Solve b(w) = 0 for w.
0, 2/7, 1
Let z(r) be the third derivative of r**11/166320 - r**10/37800 + r**9/30240 + r**5/30 + 2*r**2. Let m(p) be the third derivative of z(p). Factor m(g).
2*g**3*(g - 1)**2
Let n(q) be the second derivative of -q**4/6 - 7*q. Determine i so that n(i) = 0.
0
Let s(j) = -j**2 + 8*j + 5. Let t be s(9). Let o(z) = -z - 2. Let c be o(t). Factor 2*l + 2*l**3 - 2 + 4*l + 0*l - 6*l**c.
2*(l - 1)**3
Let t(w) = -2*w + 34. Let u be t(16). Factor 4/5 - 14/5*g - 8/5*g**u.
-2*(g + 2)*(4*g - 1)/5
Suppose -4*w - 2*o + 14 = 0, -4*w + 5*o + 22 = 1. Let r(i) = -5*i**3 + i**2. Let d be r(-1). Factor -d*h**w + 2*h**4 + 4*h**3 + 0*h**4 - 5*h**3.
-h**3*(4*h + 1)
Let j(k) = 14*k**2 + 2*k - 18. Let m(q) = -5*q**2 - q + 6. Let x(y) = 6*j(y) + 17*m(y). Determine g, given that x(g) = 0.
-3, -2
Let q(h) be the first derivative of -h**6/135 + h**5/45 - h**4/54 - 4*h - 3. Let a(r) be the first derivative of q(r). Determine s so that a(s) = 0.
0, 1
Let j = 16 - 14. Suppose j*d - 2 = d. Determine f, given that -8/7*f - 10/7*f**3 + 32/7*f**d + 0 - 50/7*f**4 = 0.
-1, 0, 2/5
Let c = -41 + 291/7. Factor -4/7 + 2/7*h - 2/7*h**3 + c*h**2.
-2*(h - 2)*(h - 1)*(h + 1)/7
Let q = 20 + -20. Solve -2/5*k + q + 2/5*k**2 = 0 for k.
0, 1
Let j(k) be the second derivative of -k**5/10 + k**4/2 - k**3 + k**2 - 3*k. Factor j(f).
-2*(f - 1)**3
Suppose -b + 2*j = -1, 4 = 4*b - 0*b + j. Let k be -2 + (b - 1) - -8. Let k*a**3 + 58*a**4 - 20*a**2 - 27*a**5 - 4*a - 15*a**5 + 2*a**2 = 0. What is a?
-1/3, -2/7, 0, 1
Let m(d) = 6*d**5 + 12*d**4 + 21*d**3 - 9*d**2 - 27*d. Let y(b) = 11*b**5 + 25*b**4 + 41*b**3 - 19*b**2 - 53*b. Let p(a) = -5*m(a) + 3*y(a). Factor p(g).
3*g*(g - 1)*(g + 2)**3
Let c(p) = -10*p**4 + 15*p**2 - 5*p - 5. Let n(v) = 9*v**4 - 14*v**2 + 4*v + 5. Let d(w) = -4*c(w) - 5*n(w). Factor d(m).
-5*(m - 1)**2*(m + 1)**2
Factor 5*k + 25/2 + 1/2*k**2.
(k + 5)**2/2
Let j = 1163/12 + -385/4. Factor 0 + 2*k + j*k**2.
2*k*(k + 3)/3
Suppose 14 = 5*c - y - 12, -3*y = c - 2. Let b be (8/(-20))/((-1)/c). Determine w so that 4/3 - 8/3*w**3 + 2/3*w + b*w**5 - 4*w**2 + 8/3*w**4 = 0.
-1, 2/3, 1
Let l(d) be the first derivative of -2/45*d**5 + 0*d**2 + 1 - 2/27*d**3 + 1/9*d**4 + 0*d. Determine r, given that l(r) = 0.
0, 1
Let c(d) = -5*d - 10. Let j be c(-9). Suppose 5*k = -2*b - 3*b + j, 2*b = 3*k - 6. Suppose -x**4 + 3*x**3 + 4*x**4 - 3*x - b*x**2 + 0*x**2 = 0. What is x?
-1, 0, 1
Let l(i) = -9*i**2 - 8*i. Let r be 4/(-18) + 436/18. Let z(j) = j**2 + j. Let f(t) = r*z(t) + 3*l(t). Solve f(p) = 0 for p.
0
Let i(k) = 2*k - 8. Let n be i(6). Let j(s) be the third derivative of 0*s**3 + 0*s - 2*s**2 + 0 - 1/180*s**6 + 2/315*s**7 + 0*s**n - 1/90*s**5. Factor j(l).
2*l**2*(l - 1)*(2*l + 1)/3
Let p(x) be the first derivative of -x**4/6 - 4*x**3/9 + 4*x**2/3 + 4*x - 3. Let q(o) be the first derivative of p(o). Find j such that q(j) = 0.
-2, 2/3
What is g in 2/3*g**3 + 0 - 2/3*g + 2/3*g**4 - 2/3*g**2 = 0?
-1, 0, 1
Let s = 172/7 - 2566/105. Let j(r) be the first derivative of 2 - 1/5*r**2 + 0*r + s*r**3. Let j(v) = 0. What is v?
0, 1
Let r be (-1)/(2/(-4) + 0). Factor -21/2*h**2 + 10*h + 7/2*h**4 - r - h**3.
(h - 1)**2*(h + 2)*(7*h - 2)/2
Let q(j) = j**3 - 11*j**2 + 8*j + 14. Let v be q(10). Let h be 45/108 + (-2)/v. Factor h*p**2 + 0 + 3/2*p.
3*p*(p + 2)/4
Let t(f) be the first derivative of f**7/420 - 2*f**3/3 - 2. Let x(j) be the third derivative of t(j). Solve x(y) = 0.
0
Let r be (3/(-2))/(0 - 1/2). Solve 2/11*w**r + 12/11*w**2 + 24/11*w + 16/11 = 0 for w.
-2
Let u(p) be the third derivative of -p**8/336 - 2*p**7/105 - p**6/60 + p**5/15 + p**4/8 + 3*p**2. Suppose u(i) = 0. What is i?
-3, -1, 0, 1
Let j(g) be the first derivative of 0*g + 9*g**6 + 3 + 0*g**2 + 78/5*g**5 + 20/3*g**4 + 8/9*g**3. Factor j(b).
2*b**2*(b + 1)*(9*b + 2)**2/3
Let o be 0 - 6/(-3) - 28. Let k = -16 - o. Solve k*h + 3 + 2*h**3 + 8*h**2 + 4 - 3 = 0.
-2, -1
Let o be 2 + (-328)/(-88) + -5. Factor 0*v + o - 6/11*v**2 + 2/11*v**3.
2*(v - 2)**2*(v + 1)/11
Let r be (-282)/12 + 1/(-2). Let i be r/(-45)*(-6)/(-4). Factor i - 14/5*k**2 + 2*k.
-2*(k - 1)*(7*k + 2)/5
Let r(q) = 16*q**2 + 48*q + 86. Let o(u) = -5*u**2 - 16*u - 29. Let m(a) = -10*o(a) - 3*r(a). Factor m(w).
2*(w + 4)**2
Suppose 3*h - 2*u + 0*u + 6 = 0, 0 = -5*h - 5*u - 35. Let x = h + 8. Determine l, given that 5*l**5 - 3*l**3 + 3*l**4 - x*l**2 - l**4 - 2*l**5 + 2*l**2 = 0.
-1, -2/3, 0, 1
Let d(h) be the third derivative of h**7/105 - h**6/15 + h**5/10 + 5*h**2. Factor d(i).
2*i**2*(i - 3)*(i - 1)
Let y = -182/45 - -40/9. Factor -4/5*u + 2*u**2 + 0 + y*u**4 - 8/5*u**3.
2*u*(u - 2)*(u - 1)**2/5
Let b(k) be the third derivative of 0*k**4 + 0*k**3 + 0 - 1/280*k**6 - 7*k**2 + 0*k - 1/2352*k**8 - 1/420*k**5 - 1/490*k**7. Suppose b(i) = 0. Calculate i.
-1, 0
Let 2/21*m**2 + 0*m - 2/21 = 0. What is m?
-1, 1
Let x(i) be the second derivative of -i**4/3 - 2*i**3/3 + 4*i**2 + 2*i. Solve x(s) = 0 for s.
-2, 1
Let r(w) = -3*w**3 - 19*w**2 - 18*w - 4. Suppose -16 = 5*m - 1. Let c(b) = -2*b**3 - 20*b**2 - 19*b - 4. Let q(i) = m*r(i) + 2*c(i). Factor q(l).
(l + 1)*(l + 2)*(5*l + 2)
Let g(z) be the second derivative of 2/25*z**5 + 3*z + 0*z**3 + 0*z**2 - 2/15*z**4 + 0 - 1/75*z**6. Factor g(l).
-2*l**2*(l - 2)**2/5
Let u(b) = -b + 11. Let y be u(10). Suppose y + 7 = 4*d. What is t in -2*t**3 + 0*t**2 + 4*t**3 + d*t**2 = 0?
-1, 0
Factor 2*d**2 + 1 + 8/3*d - 1/3*d**4 + 0*d**3.
-(d - 3)*(d + 1)**3/3
Let t = -335 - -503. Let f be 6/t - 1/(-4). Factor -4/7*i**2 + 2/7*i**5 + 2/7 - 4/7*i**3 + 2/7*i**4 + f*i.
2*(i - 1)**2*(i + 1)**3/7
Let d(g) = 3*g**3 - 17*g**2 + 17*g - 11. Let u(o) = 3*o**3 - 18*o**2 + 15*o - 12. Let x(h) = -3*d(h) + 2*u(h). Factor x(m).
-3*(m - 3)*(m - 1)**2
Factor 1/4*c - 1/4*c**2 + 3/2.
-(c - 3)*(c + 2)/4
Factor 3*w**3 + 9*w + 5*w**2 - 7*w**2 + 6*w**2 + 8*w**2.
3*w*(w + 1)*(w + 3)
Let j = -25/133 + 9/19. Find x, given that -2/7*x + 0 - j*x**2 = 0.
-1, 0
Factor -4*t**3 - 2*t**3 + 3*t**3.
-3*t**3
Let k be 8 + (2 - 0) + -3. Let q be -1 - (3 + -1 + -5). Factor 2 - b + b**3 - k + 4 + b**q.
(b - 1)*(b + 1)**2
Let c(t) be the first derivative of 2 - 1/15*t**6 + 8/25*t**5 - 1/5*t**2 + 0*t + 8/15*t**3 - 3/5*t**4. Factor c(m).
-2*m*(m - 1)**4/5
Let k(s) = -6*s**4 - 27*s**3 - 15*s**2 - 6*s - 6. Let b(d) = 12*d**4 + 55*d**3 + 29*d**2 + 12*d + 13. Let p(h) = 6*b(h) + 13*k(h). Suppose p(x) = 0. What is x?
-2, -1, -1/2, 0
Let g(i) = 12*i + 72. Let n be g(-6). Factor n - 2/3*x**2 + 1/3*x**3 + 1/3*x.
x*(x - 1)**2/3
Let m = 12 - 10. Let x = m - 0. Factor g**3 + 2/3 + g - 8/3*g**x.
(g - 2)*(g - 1)*(3*g + 1)/3
Let z(m) = 8*m**3 + 23*m**2 - m + 11. Let l be ((-9)/(-6))/(3/8). Let d(o) = 3*o**3 + 8*o**2 + 4. Let c(n) = l*z(n) - 11*d(n). Factor c(y).
-y*(y - 2)**2
Let w be (-18)/(-105)*(-49)/35*-5. What is d in w - 2/5*d + 2/5*d**3 - 6/5*d**2 = 0?
-1, 1, 3
Suppose 0 = -2*y + 2*q - 7*q - 21, 0 = -4*y - 3*q - 7. Suppose -5*s + 4*c = -c - 35, 0 = -y*s + 4*c + 24. Factor 18/7*x**3 + 2/7*x + 0 - 8/7*x**4 - 12/7*x**s.
-2*x*(x - 1)**2*(4*x - 1)/7
Let h = 1/35 + 6/35. Find d such that h*d**2 + 1/5 - 2/5*d = 0.
1
Let p(n) be the third derivative of -n**8/5040 + n**6/45 - n**5/20 + 2*n**2. Let k(w) be the third derivative of p(w). Solve k(f) = 0.
-2, 2
Let y(t) be the second derivative of t**7/28 + t**6/6 + 3*t**5/10 + t**4/4 + t**3/12 - 19*t. Factor y(c).
c*(c + 1)**3*(3*c + 1)/2
Let p(f) be the first derivative of 2*f**3/21 - 2*f**2/7 + 2*f/7 + 3. Factor p(x).
2*(x - 1)**2/7
Let z(h) be the third derivative of h**8/20160 + h**7/3360 - h**6/720 - 2*h**5/15 - 8*h**2. Let d(b) be the third derivative of z(b). Solve d(i) = 0.
-2, 1/2
Let j(l) = l**3 + 6*l**2 