+ 3/7*r**2 = 0.
0, 4
Let y = 19760 + -19758. Factor 4/7*r**y - 4/7 + 0*r.
4*(r - 1)*(r + 1)/7
Let r = -39883913/58344 + 60039/88. Let d = -1/221 - r. Determine g so that 2/3*g**2 - d*g + 2/3 = 0.
1
Suppose -6*x = -5*x - 2. Factor 3*a**x + 20*a + 27*a - 62*a.
3*a*(a - 5)
Suppose 0 = 2*q - 9 - 3. Let 0*r**3 - q*r**2 - 5*r**3 - 10 + 5*r + 16*r**2 = 0. Calculate r.
-1, 1, 2
Let r be (-36)/352*(-2)/3. Let s = r + 2/11. Let -o - s*o**3 + 0 + o**2 = 0. What is o?
0, 2
Let l = 438 + -119. Let i = 319 - l. Factor 0*b + i + 0*b**2 - 2/3*b**3 - 4/3*b**4 - 2/3*b**5.
-2*b**3*(b + 1)**2/3
Let f(h) be the second derivative of h**6/210 + 5*h**5/28 + 83*h**4/42 + 16*h**3/7 - 144*h**2/7 - 2*h - 131. Find z, given that f(z) = 0.
-12, -2, 1
Let d(c) be the first derivative of -c**6/9 + 2*c**5/3 - c**4 + 459. Factor d(z).
-2*z**3*(z - 3)*(z - 2)/3
Let z be ((-25)/6 + 7)/(1/6). Let j be 17/z - (2 - 1*4). What is p in 9/5 - 12/5*p**2 + 6/5*p + 3/5*p**4 - 6/5*p**j = 0?
-1, 1, 3
Let y(q) = q**3 + 12*q**2 + 10*q - 8. Let l = -9 + -2. Let h be y(l). Factor -x**3 + 6 + 3*x**3 - 2 + 0*x**h + 8*x**2 + 10*x.
2*(x + 1)**2*(x + 2)
Let x be (-23)/(-276) - (-47)/12. Let o(y) be the third derivative of 0 - 1/12*y**x + 9*y**2 + 0*y**3 + 1/30*y**6 - 1/30*y**5 + 0*y. Factor o(c).
2*c*(c - 1)*(2*c + 1)
Let i(n) = -33*n**2 + 8*n - 13. Let l(h) = -2 - 6 + 5*h**2 - 21*h**2 + 2 + 4*h. Let p(x) = 6*i(x) - 13*l(x). Suppose p(r) = 0. Calculate r.
0, 2/5
Let n(f) = -17*f + 4*f + 10*f - 13. Let w be n(-8). Factor 2*x**5 + 27*x**4 + 4*x**5 - w*x**4 + 14*x**3 + 4*x**2.
2*x**2*(x + 1)**2*(3*x + 2)
Factor 3/2*m**3 + 0 - 27/2*m + 3/2*m**4 - 27/2*m**2.
3*m*(m - 3)*(m + 1)*(m + 3)/2
Let j(m) be the third derivative of -m**8/336 + m**7/420 + m**6/30 - m**5/120 - m**4/8 - 89*m**2. Solve j(w) = 0 for w.
-3/2, -1, 0, 1, 2
Suppose -3*p - 4*m + 14 = -11, 0 = -3*m + 12. Suppose 8*v - 14*v + 12 = 0. Let -v + 5*s + 2*s**2 - s**3 - s**3 - p*s = 0. Calculate s.
-1, 1
Suppose 0*d**4 - 48 - 1856*d**2 - 4*d**4 + 1764*d**2 + 112*d + 32*d**3 = 0. What is d?
1, 2, 3
Let o(f) be the first derivative of 3*f**4 + 6*f**2 + 2/5*f**5 + 0*f + 22/3*f**3 - 20. Factor o(w).
2*w*(w + 1)*(w + 2)*(w + 3)
Let r(q) be the second derivative of -2197*q**5/90 - 676*q**4/9 - 832*q**3/9 - 512*q**2/9 - 80*q. Find k such that r(k) = 0.
-8/13
Let z be (-137)/(-274) + (6/4 - 2). Let x(c) be the first derivative of -1/3*c**6 + 0*c**3 + z*c**2 - 4/5*c**5 + 5 - 1/2*c**4 + 0*c. Factor x(g).
-2*g**3*(g + 1)**2
Let a(b) be the first derivative of -4*b**3/3 - 12*b**2 - 32*b + 31. What is x in a(x) = 0?
-4, -2
Let a be (-8)/28 - (-342)/21. Find f, given that -5*f**2 - f**2 + 2*f**3 + a*f - 12*f = 0.
0, 1, 2
Let n(f) be the second derivative of f**8/1890 - f**7/540 - f**6/810 - 4*f**3 - 17*f. Let a(d) be the second derivative of n(d). Factor a(w).
2*w**2*(w - 2)*(4*w + 1)/9
Determine b, given that 0 + 5/8*b**2 + 0*b + 27/4*b**4 + 33/8*b**3 = 0.
-1/3, -5/18, 0
Let g(x) be the first derivative of 36*x**5/25 - 12*x**4/5 + 16*x**3/15 + 45. Find c, given that g(c) = 0.
0, 2/3
Let i(h) = 8*h - 747*h**2 - 6 + 8*h**3 + 753*h**2 + 4*h. Let c(l) = -l**3 - l. Let x(k) = -10*c(k) - i(k). Solve x(g) = 0.
-1, 1, 3
Suppose 211*l**2 - 206*l**2 + 16 + 40*l + 19 = 0. Calculate l.
-7, -1
Let u(s) = 28*s**2 - 67 + 9*s**2 + 140*s + 67 + 106 + 5*s**3. Let j(b) = -36*b**3 - 258*b**2 - 978*b - 741. Let f(x) = 2*j(x) + 15*u(x). Solve f(n) = 0.
-6, -1
Let k(p) = 3*p**2 + 35*p - 38. Let o(c) = 3*c**2 + 36*c - 39. Let u(g) = 3*k(g) - 4*o(g). Factor u(y).
-3*(y - 1)*(y + 14)
Let n(x) be the first derivative of 0*x + 4/27*x**3 + 0*x**2 + 1/18*x**4 + 13. Let n(w) = 0. What is w?
-2, 0
Let i(p) be the second derivative of 3*p**7/14 - 11*p**6/10 + 9*p**5/4 - 9*p**4/4 + p**3 + 3*p + 16. Factor i(m).
3*m*(m - 1)**3*(3*m - 2)
Let b(x) be the second derivative of x**7/70 - x**6/25 - 39*x**5/50 - 14*x**4/5 - 47*x**3/10 - 21*x**2/5 - 26*x. Factor b(u).
3*(u - 7)*(u + 1)**3*(u + 2)/5
Factor 4 - 6*h + 26/9*h**2 - 4/9*h**3.
-2*(h - 3)*(h - 2)*(2*h - 3)/9
Let u(o) be the third derivative of -o**6/420 - 13*o**5/105 - 347*o**2. Solve u(z) = 0 for z.
-26, 0
Let p(y) = -4*y**3 - 4*y**2 - 4*y - 2. Let o be p(-2). Let v = o - 22. Factor 4*b - 5*b - 3*b**2 + 2 + v*b + b**3 + b**2.
(b - 2)*(b - 1)*(b + 1)
Let -5/3*l - l**5 + 8/3*l**3 - 14/3*l**2 + 14/3*l**4 + 0 = 0. Calculate l.
-1, -1/3, 0, 1, 5
Let g(q) be the third derivative of q**9/756 - q**7/70 - q**6/45 - q**3/6 + q**2. Let m(i) be the first derivative of g(i). Find n such that m(n) = 0.
-1, 0, 2
Let m(f) be the second derivative of -f**4/108 + 13*f**3/54 - 2*f**2/3 + f + 20. Determine l, given that m(l) = 0.
1, 12
Suppose 0*s = -3*s + 4*p - 44, -5*s = -p + 45. Let i be (3/s)/(14/(-56)). Factor 3/4*f**2 - i*f + 3/4.
3*(f - 1)**2/4
Suppose 4*r = 9*r - 15. Solve -r*l**5 - 8*l**4 - 4*l**2 - 2*l + 10*l**4 + 2 + 2*l**3 + 2*l**5 + l = 0 for l.
-1, 1, 2
Let p = -2 - -8. Let j = 6 + 0. Determine w, given that 4*w + j*w**2 + 8*w - 3*w**5 - p*w**3 - w - 2*w + 3 - 9*w**4 = 0.
-1, 1
Let q(c) be the second derivative of -c**7/18900 - c**6/900 - c**5/180 - 29*c**4/12 - 32*c. Let l(d) be the third derivative of q(d). Factor l(h).
-2*(h + 1)*(h + 5)/15
Let -4599 - 3*d**2 + 561 - 252*d - 1254 = 0. Calculate d.
-42
Let w = 56 + -53. Factor 20 - 3*j**2 + 0*j - 21 + j**w + 3*j.
(j - 1)**3
Let n be (80 + -64)*1/22. Let r = 256/3 - 2738/33. Suppose -r*t**2 + 40/11*t + 14/11*t**4 + 8/11*t**5 - n - 28/11*t**3 = 0. Calculate t.
-2, 1/4, 1
Suppose -567 + 1/7*x**5 - 125/7*x**4 + 4094/7*x**2 + 3842/7*x**3 - 549*x = 0. Calculate x.
-1, 1, 63
Let m(a) = 36*a**2 + 4*a - 256. Let v(p) = 7*p**2 + p - 51. Let k(g) = -3*m(g) + 16*v(g). Let k(j) = 0. Calculate j.
-4, 3
Suppose -22*q + 54*q = 0. Determine l so that -4/9*l**2 + q + 0*l = 0.
0
Let u(c) be the second derivative of 5*c**4 + 7*c**3/2 + 3*c**2/4 + 400*c. Let u(r) = 0. Calculate r.
-1/4, -1/10
Suppose -3 - 2*d**5 - 3*d**4 + 8*d**2 - 2*d**4 + 6*d**3 + 300*d - 304*d = 0. What is d?
-3, -1, -1/2, 1
Factor -2*d + 4*d**3 + 3361*d**2 - 3381*d**2 + 2*d.
4*d**2*(d - 5)
Let p(q) be the second derivative of 0*q**2 + 0 + 0*q**3 - 1/70*q**5 + 2/21*q**4 - 6*q. Solve p(a) = 0.
0, 4
What is z in -25488/5*z**2 - 7/5*z**5 - 5944/5*z**3 + 89424/5*z - 23328/5 - 362/5*z**4 = 0?
-18, 2/7, 2
Let r(z) be the second derivative of 1/12*z**6 - 6*z + 0*z**3 + 1/12*z**5 + 0 + 0*z**4 + 5/252*z**7 + 0*z**2. Let r(q) = 0. Calculate q.
-2, -1, 0
Let a = -525 - -284. Let y = -2167/9 - a. Suppose 32/9 + y*g**2 + 16/9*g = 0. What is g?
-4
Let u(f) be the second derivative of 25*f - 9/2*f**2 - 65/12*f**3 - 2 - 7/24*f**4. Factor u(b).
-(b + 9)*(7*b + 2)/2
Let p = -5 - -7. Let y(j) be the first derivative of -1/6*j**3 + 3 + j - 1/4*j**p. Suppose y(i) = 0. What is i?
-2, 1
Suppose -5 + 0 = -5*b. Let x be (-4)/20 - (b + -2). Factor -q - 2/5*q**2 + 1/5*q**5 - 2/5 + 4/5*q**4 + x*q**3.
(q - 1)*(q + 1)**3*(q + 2)/5
Let v = -35/59 + 269/354. Solve -1/3*j**2 + 1/6 + v*j = 0.
-1/2, 1
Let i(s) = -9*s**2 - 15*s + 13. Let l(r) = 4*r**2 + 8*r - 6. Let y be 1 + (-52)/44 - 141/11. Let z(d) = y*l(d) - 6*i(d). Let z(v) = 0. What is v?
0, 7
Let h(n) be the third derivative of n**10/105840 - n**8/23520 - n**4/3 + 12*n**2. Let b(d) be the second derivative of h(d). Factor b(i).
2*i**3*(i - 1)*(i + 1)/7
Let a be (-5)/(25/(-30)) - (2 - 3). Suppose -a*v = -14*v. Factor p**4 - 1/2*p**3 + 0*p**2 - 1/2*p**5 + 0*p + v.
-p**3*(p - 1)**2/2
Let p be -4*((-34)/(-8) - 2). Let q = p - -12. Factor u - q*u**3 - 1 + u**2 - 2*u**3 + 4*u**3.
-(u - 1)**2*(u + 1)
Find l, given that 0 + 0*l**2 + 4/5*l - 3/5*l**4 - 7/5*l**3 = 0.
-2, -1, 0, 2/3
Let v(r) = r**3 - r**2 - r + 2. Let j be v(0). Factor 32*z - 5 + 4*z**4 - 7 - 24*z**2 + 5*z**2 - 5*z**j.
4*(z - 1)**3*(z + 3)
Let c(t) be the second derivative of 3*t**5/20 + t**4 + t**3/2 - 9*t**2 + 2*t + 24. Factor c(b).
3*(b - 1)*(b + 2)*(b + 3)
Let p be (3 - 224/82)*1. Let l = 487/287 - p. Determine h so that 0 + 4/7*h - 2*h**3 - l*h**2 = 0.
-1, 0, 2/7
Let f(m) be the third derivative of -m**5/240 - m**4/2 - 24*m**3 + 19*m**2. Factor f(h).
-(h + 24)**2/4
Factor -67*s**3 + 5*s**5 - s**5 - 12*s**4 + 71*s**3 - 8*s + 12*s**2.
4*s*(s - 2)*(s - 1)**2*(s + 1)
Let b = -32 - -25. Let w(f) = -f**2 + 14*f + 16. Let y(r) = 5*r + 5. Let s(q) = b*y(q) + 2*w(q).