 j(t) = 0.
-1, 2
Let w be ((-3)/(-2))/(3/6). Solve -f**5 + 3*f**3 + 2*f**4 - 6*f**w + f - 2*f**2 + 3*f**3 = 0 for f.
-1, 0, 1
Suppose -3*b + 7 + 20 = 0. Suppose 5*x - 34 = -b. Let -1/2*n**x - n**2 - 5/2*n**3 + 0 - 2*n**4 + 0*n = 0. Calculate n.
-2, -1, 0
Let b be (4/(-10))/((-1)/10). Let k be (-5)/(-3) + b/12. Factor -g**k - g**3 + 1 - g**3 + 3*g**3 + 0*g**3 - g.
(g - 1)**2*(g + 1)
Let l(d) be the first derivative of 3*d**4/4 - 3*d**3 + 12*d - 21. Factor l(u).
3*(u - 2)**2*(u + 1)
Let n = -36 + 38. Factor -1/2*k**3 + 1/2*k**n + 0 + 1/2*k - 1/2*k**4.
-k*(k - 1)*(k + 1)**2/2
Let f(v) be the third derivative of v**9/12600 + v**8/4200 - v**7/6300 - v**6/900 + v**4/24 + 2*v**2. Let m(y) be the second derivative of f(y). Factor m(h).
2*h*(h + 1)**2*(3*h - 2)/5
Let x = 16 + -10. Let m be -4*(0 + (-1)/x). Solve 2/3*i**3 + 0 - m*i**5 + 0*i + 2/3*i**2 - 2/3*i**4 = 0.
-1, 0, 1
Let v(r) be the third derivative of -r**6/540 - r**5/135 - r**4/108 - 21*r**2. Factor v(c).
-2*c*(c + 1)**2/9
Let c = -4 + 9. Suppose 0 = -2*i + m + 6, 0*i + c*m = -5*i. Factor -i*a**3 + a + 2 - 2*a**2 + a + 0.
-2*(a - 1)*(a + 1)**2
Factor 0 + 6/5*r**3 - 2/5*r**5 - 2*r**2 + 2/5*r**4 + 4/5*r.
-2*r*(r - 1)**3*(r + 2)/5
Suppose 0 = 2*m + 5*d - 23, 7*m - 23 = 2*m - d. Determine w, given that 2*w + 6 - m*w**3 - 4*w**2 - w - 3 - 2 = 0.
-1, -1/2, 1/2
Factor 2 + 28*w**2 + 9*w + 33*w**2 - 54*w**2.
(w + 1)*(7*w + 2)
Suppose 5*t - 15 = -5. Factor 1/3*z + 1/3*z**t - 2/3.
(z - 1)*(z + 2)/3
Factor -2/5*f**4 - 14/5*f - 4/5 - 2*f**3 - 18/5*f**2.
-2*(f + 1)**3*(f + 2)/5
Let u(l) be the second derivative of 0*l**5 + 0*l**3 + 0*l**2 + 0 + 1/48*l**4 + 2*l - 1/120*l**6. Let u(k) = 0. What is k?
-1, 0, 1
Let b**2 + 40*b + 3*b**2 + 0*b**2 + 100 = 0. What is b?
-5
Let l(s) be the second derivative of s**8/2352 - s**7/1470 - s**6/840 + s**5/420 + 3*s**2/2 + 5*s. Let a(z) be the first derivative of l(z). Factor a(n).
n**2*(n - 1)**2*(n + 1)/7
Let g(z) = 1 + 1 - 2 - 7*z**3 + 2 + 9*z**2. Let k(r) = -6*r**3 + 8*r**2 + 1. Let u(p) = -5*g(p) + 6*k(p). Factor u(s).
-(s - 2)**2*(s + 1)
Let 2/21*b**3 - 4/7 + 2/21*b**4 - 26/21*b - 2/3*b**2 = 0. Calculate b.
-2, -1, 3
Let n be 4/(-14) - 94/14. Let x be (-80)/(-14) + (-2)/n. Solve -2*y**4 + x*y**4 - 2*y**4 - 2*y**2 = 0 for y.
-1, 0, 1
Let c(q) be the second derivative of -1/30*q**5 + 0 - q - 1/9*q**4 - 1/9*q**3 + 0*q**2. Determine t so that c(t) = 0.
-1, 0
Let c be 0 - ((-2)/7)/((-21)/(-49)). What is q in 0 + 0*q - c*q**2 = 0?
0
Factor 16/3*w - 5/3*w**2 - 25/3*w**3 - 4/3.
-(w + 1)*(5*w - 2)**2/3
Let a(t) = 4*t + 14. Let r be a(-3). Factor 1/2*w**4 - w + 0*w**r + w**3 - 1/2.
(w - 1)*(w + 1)**3/2
Suppose 4*f = 2 - 10. Let l be (f/(-3))/(1/3). Determine h, given that -1/3 + 2/3*h - 1/3*h**l = 0.
1
Determine d, given that 61 + 60 + 3*d**2 - 127 - 3*d = 0.
-1, 2
Suppose 43 = -5*t + 53. Determine h, given that 10/7*h**t + 2*h**3 + 0 - 4/7*h = 0.
-1, 0, 2/7
Let q = -2 + 5. Determine f, given that q*f**2 - 6*f**3 + 0*f + 0*f - f**2 = 0.
0, 1/3
Let d = 710696/9 - 79110. Let a = 144 + d. Let -8/9*c - a*c**2 - 8/9 = 0. What is c?
-2
Let v(h) be the third derivative of h**7/735 - h**6/420 - h**5/70 + h**4/84 + 2*h**3/21 - 8*h**2. Factor v(r).
2*(r - 2)*(r - 1)*(r + 1)**2/7
Let m(d) = d**2 + 4*d + 3. Let r be m(-3). Determine w so that 2 + 2*w + 3 - 2*w**2 + r - 1 = 0.
-1, 2
Let l(x) be the second derivative of 2/3*x**3 + 2/3*x**2 + 1/10*x**5 + 0 + 13/36*x**4 + 1/90*x**6 + 9*x. Solve l(w) = 0.
-2, -1
Let g(d) be the third derivative of d**7/1050 - d**5/300 + 7*d**2. Factor g(n).
n**2*(n - 1)*(n + 1)/5
Let j(u) be the first derivative of -u**6/15 + 2*u**5/5 - 4*u**4/5 + 8*u**3/15 + 3. Let j(b) = 0. Calculate b.
0, 1, 2
Find l such that 0 + 8/5*l + 6*l**3 + 14/5*l**4 + 26/5*l**2 + 2/5*l**5 = 0.
-4, -1, 0
Let u(t) be the second derivative of 1/12*t**4 - 1/28*t**7 - 7/40*t**5 + 2*t + 0*t**2 + 2/15*t**6 + 0 + 0*t**3. Factor u(b).
-b**2*(b - 1)**2*(3*b - 2)/2
Factor 0 - 2/3*i**3 + 2/3*i + 1/3*i**2 - 1/3*i**4.
-i*(i - 1)*(i + 1)*(i + 2)/3
Let s(p) be the first derivative of -p**5/15 + p**4/12 + p**3/9 - p**2/6 - 2. Factor s(x).
-x*(x - 1)**2*(x + 1)/3
Let i(l) be the second derivative of -l**6/105 + l**5/35 - l**4/42 - 15*l. Find z such that i(z) = 0.
0, 1
Let d(k) = -k**2 + 7*k + 3. Let p = -8 + 15. Let s be d(p). Find x, given that 0*x**2 + 1/3*x**4 + 0*x + 0*x**s + 0 = 0.
0
Let s(l) = -l - 2. Suppose -x = -h + 1, 0 = -3*x - 4*h - 10. Let b be s(x). Find w such that b*w**3 - w - w**3 + 2*w = 0.
-1, 0, 1
Let k(v) be the third derivative of 0*v**6 + 0 + 0*v**3 + 1/112*v**8 + 2*v**2 - 1/10*v**5 - 1/8*v**4 + 0*v + 1/35*v**7. What is t in k(t) = 0?
-1, 0, 1
Let a(j) be the first derivative of -6*j**5/55 + 7*j**4/22 - 2*j**3/11 - 3*j**2/11 + 4*j/11 - 2. Determine w, given that a(w) = 0.
-2/3, 1
Factor -2/5*s**2 - 1/10*s**3 - 3/10*s + 0.
-s*(s + 1)*(s + 3)/10
Let c(n) be the second derivative of n**8/10080 + n**7/3780 + n**4/4 - n. Let x(o) be the third derivative of c(o). Suppose x(m) = 0. What is m?
-1, 0
Let y be (-1 + 4 - 2)*-7. Let o(k) = 2*k + 17. Let z be o(y). Determine w, given that -1/2*w + 1/2*w**z + 0*w**2 + 0 = 0.
-1, 0, 1
Let s be (-6)/(-21)*(-14)/(-6). Factor -2/3 - s*n**5 + 4/3*n**3 - 2/3*n**4 + 4/3*n**2 - 2/3*n.
-2*(n - 1)**2*(n + 1)**3/3
Let y = 4/305 - -1176/3355. Solve -18/11*a**2 + 14/11*a + y = 0.
-2/9, 1
Let s = 118 - 115. Let k(c) be the third derivative of -4*c**2 + 3/100*c**6 + 1/60*c**4 + 1/25*c**5 + 0 + 0*c**s + 0*c. What is f in k(f) = 0?
-1/3, 0
Let -21/2*f - 3/2*f**2 + 21/2*f**3 + 3/2 = 0. Calculate f.
-1, 1/7, 1
Let h = -1 + 2. Let p be (h/1*0)/(-1). Factor 1/3*x**4 + 0 - 1/3*x**2 + p*x**3 + 0*x.
x**2*(x - 1)*(x + 1)/3
Suppose 3*c = 2*c - 6. Let w = c + 10. Find l such that 2*l**3 - 3*l - 2*l**3 + 3*l**3 - w*l**3 - 1 - 3*l**2 = 0.
-1
What is y in -6*y + y + 8 + y - 12*y**2 = 0?
-1, 2/3
Let m(d) be the second derivative of -d**9/1512 - d**8/210 - d**7/105 + d**3/3 - 2*d. Let v(r) be the second derivative of m(r). Factor v(g).
-2*g**3*(g + 2)**2
Let d be 3 + 0 + (2 - 1). Solve -u**3 + 4*u**2 + d*u**2 - 6*u - u**3 = 0 for u.
0, 1, 3
Let b(j) = j**5 - 2*j**4 - 4*j**2 - 7*j. Let o(w) = 3*w**5 - 6*w**4 - 11*w**2 - 20*w. Let y(s) = 17*b(s) - 6*o(s). Factor y(l).
-l*(l - 1)**3*(l + 1)
Let q(v) = v**4 - v**3 - v**2 - 1. Let k(x) = -6*x**4 + 7*x**3 + 6*x**2 + 7. Let t(g) = -5*k(g) - 35*q(g). Factor t(s).
-5*s**2*(s - 1)*(s + 1)
Suppose -3*q + 5*a - 3 = q, -2*q - 4*a = -18. Let 0*f + 1/5*f**q - 4/5 + 3/5*f**2 = 0. Calculate f.
-2, 1
Suppose 3*s - 22 = 5. Let r = s - 7. What is h in 2/3*h**4 - 1/3*h + 0*h**3 - 2/3*h**r + 1/3*h**5 + 0 = 0?
-1, 0, 1
Solve 8*h - 11*h**3 - 19*h**3 - 4*h**4 + 22*h**3 + 4*h**2 = 0 for h.
-2, -1, 0, 1
Let x = 301 - 297. What is u in 8/13*u + 2/13 - 8/13*u**x + 6/13*u**2 - 8/13*u**3 = 0?
-1, -1/2, 1
Let v(t) be the third derivative of -7/120*t**6 + 1/60*t**5 + 0*t + 5*t**2 + 0 + 1/8*t**4 + 0*t**7 - 1/6*t**3 + 1/84*t**8. Find q such that v(q) = 0.
-1, 1/2, 1
Factor 3*h**2 + 2*h**2 - 4*h**2 + 1 - 2*h**2.
-(h - 1)*(h + 1)
Let o(n) be the first derivative of -1/6*n**6 + 1/2*n**2 + 3 + 0*n - 2/5*n**5 + 2/3*n**3 + 0*n**4. Factor o(a).
-a*(a - 1)*(a + 1)**3
Suppose 5*w + 5*b + 5 + 5 = 0, -14 = 4*w + b. Let x be w - ((-528)/10)/6. Determine m, given that -24/5 + 84/5*m - x*m**4 - 114/5*m**2 + 15*m**3 + 3/5*m**5 = 0.
1, 2
Let q(o) be the first derivative of -o**6/24 + 3*o**5/10 - 7*o**4/8 + 4*o**3/3 - 9*o**2/8 + o/2 + 3. Find f, given that q(f) = 0.
1, 2
Let a(f) be the third derivative of -f**8/336 - f**7/105 - f**6/60 - f**3/3 + f**2. Let g(n) = -n**5 - n**4 - n**3 - 1. Let i(s) = 3*a(s) - 6*g(s). Factor i(t).
3*t**5
Suppose 3*x - 5 = 4. Let 6*f**4 - 4*f + 10*f**x - 23*f**3 + 15*f**2 - f**5 - 3*f**2 = 0. What is f?
0, 1, 2
Let t(g) be the second derivative of -g**6/135 + 2*g**5/45 - 5*g**4/54 + 2*g**3/27 - 18*g. Let t(j) = 0. What is j?
0, 1, 2
Determine m, given that -25/3*m**4 + 2/3 - 14/3*m**5 + 1/3*m**3 + 23/3*m**2 + 13/3*m = 0.
-1, -1/2, -2/7, 1
Let c(w) be the second derivative of 1/8*w**3 + 3*w - 1/8*w**2 + 1/80*w**5 - 1/16*w**4 + 0. Find o such that c(o) = 0.
1
Suppose -3*s + 39 = -3*i - 0*s, 4*i + 87 = -3*s. Let r = i - -25. Suppose -r - 7 + 14 + f**2 = 0. What is f?
0
Let a(c) be the first derivative of 8*c**5/25 + 17*c**4/10 + 16*c**3/5 +