1)/7
What is w in -1 + 2 + 2*w**2 - 3*w**4 - 5*w**5 + 2*w**3 - 3*w + 6*w**5 = 0?
-1, 1
Factor -16/11 + 1/11*x**2 - 15/11*x.
(x - 16)*(x + 1)/11
Let u(w) be the second derivative of -1/50*w**5 + 1/15*w**3 + 3*w + 0*w**2 + 1/75*w**6 + 0 - 1/30*w**4. Factor u(z).
2*z*(z - 1)**2*(z + 1)/5
Let v be ((-4)/9)/(22/(-99)). Factor -5*s**2 + s**5 + 6*s**4 - 3*s + s**2 - v*s**2 + 2*s**5.
3*s*(s - 1)*(s + 1)**3
Let x be 6/18 + 142/6. Factor 75*q**5 + 44*q**3 - x*q + 13*q**3 - 12 - 165*q**4 - 2*q**2 + 71*q**2.
3*(q - 1)**3*(5*q + 2)**2
Let d(c) = -c + 2. Let k be d(4). Let s be 5/2 + (-1)/k. Let 3*h**3 + 2*h - 4*h - 2*h**5 + 4*h**3 - 3*h**s = 0. Calculate h.
-1, 0, 1
Factor 2/13*u**2 + 0 + 2/13*u.
2*u*(u + 1)/13
Let q(g) be the third derivative of g**6/180 + g**5/90 - g**4/9 - 4*g**3/9 + 6*g**2. Suppose q(d) = 0. What is d?
-2, -1, 2
Let w(i) be the third derivative of -1/30*i**5 + 0 + 0*i**3 - 8*i**2 + 0*i + 0*i**4. Factor w(b).
-2*b**2
Suppose -26*c**4 + 70*c**2 + 17*c**4 - 19*c - 35*c**3 - 21*c + 14*c**4 = 0. Calculate c.
0, 1, 2, 4
Factor -5*g**2 + 2*g**2 + 3*g**4 - 3*g**3 - 3*g**2.
3*g**2*(g - 2)*(g + 1)
Let z = -9 + 15. Factor -2 - 3*q**3 + 5*q**2 + z*q - 2*q**2 + 2.
-3*q*(q - 2)*(q + 1)
Suppose -2*q + n + 12 = 0, 3*q - 7*q + n = -20. Suppose 4*h - 23 - 5 = -q*i, 0 = 5*h - 2*i. Factor -t**3 - 2*t**2 + 5*t**2 + t**4 + t**5 - 4*t**h.
t**2*(t - 1)*(t + 1)**2
Let k(w) be the first derivative of -w**9/15120 + w**8/8400 + w**3 + 1. Let s(r) be the third derivative of k(r). Determine g, given that s(g) = 0.
0, 1
Let u(c) be the first derivative of c**4/54 + c**3/27 - 2*c**2/9 + 3*c - 3. Let k(i) be the first derivative of u(i). Factor k(h).
2*(h - 1)*(h + 2)/9
Let k(n) be the third derivative of -n**9/90720 - n**8/10080 - n**7/2520 - n**6/1080 - n**5/10 + n**2. Let g(h) be the third derivative of k(h). Factor g(w).
-2*(w + 1)**3/3
Let w(l) be the first derivative of l**6/60 - l**5/10 + l**4/4 - l**3/3 + 2*l**2 + 2. Let s(c) be the second derivative of w(c). Factor s(g).
2*(g - 1)**3
Let j(k) = -k**3 - 11*k**2 - 10*k + 5. Let m be j(-10). Suppose -4*v = -8 - 0. Factor m*c**2 + 2*c**2 - 5*c**v.
2*c**2
Let l(c) be the first derivative of -1/3*c**3 - 1/12*c**6 + 3/8*c**4 + 0*c**2 + 0*c**5 + 0*c - 4. Find m, given that l(m) = 0.
-2, 0, 1
Let h be ((-7)/28)/((-90)/48). Let 0 + 0*x - 2/5*x**3 - 2/15*x**5 - h*x**2 - 2/5*x**4 = 0. What is x?
-1, 0
Let b(t) = t + 10. Let d be b(-7). Let p = d + 1. Suppose 4/3*k**3 + 0*k**2 - 2/3*k**p + 2/3 - 4/3*k = 0. Calculate k.
-1, 1
Let l(d) be the third derivative of -2*d**2 + 4/27*d**3 + 0 + 0*d + 1/30*d**5 + 1/9*d**4. Factor l(v).
2*(3*v + 2)**2/9
Let a be -1*(-4)/24*7 + -1. Let g(r) be the second derivative of -1/3*r**4 + 0 + a*r**3 + 1/15*r**6 - r + 1/42*r**7 + r**2 - 1/10*r**5. Factor g(k).
(k - 1)**2*(k + 1)**2*(k + 2)
Let l be 3 + 7/((-7)/2). Let v be l*8 + 0 + -3. Suppose 50/7*y**4 + 66/7*y**2 + 4/7 + 82/7*y**3 + 26/7*y + 12/7*y**v = 0. Calculate y.
-1, -2/3, -1/2
Let r(f) be the third derivative of f**5/150 - f**3/15 - f**2. Factor r(n).
2*(n - 1)*(n + 1)/5
Let y = -15 - -17. Let n(j) be the third derivative of 1/840*j**7 + 0*j**6 + 0*j + 0 + 0*j**3 + 0*j**4 - 2*j**y - 1/240*j**5. Let n(p) = 0. Calculate p.
-1, 0, 1
Solve 6*o**2 - 2*o**3 + 2*o**3 + 3*o**3 = 0 for o.
-2, 0
Let m be 7 + (3 - (-6)/(-1)). Let u be -2 + (52/8 - m). Solve 5/2*c**2 + 2 + 4*c + u*c**3 = 0 for c.
-2, -1
Let h be (-1)/(-2)*4 + (2 - 0). What is t in -50/9*t**h + 32/9*t**2 - 10/9*t**3 + 0 - 8/9*t = 0?
-1, 0, 2/5
Let h = -23/5 + 94/15. Find r, given that -h*r**3 + 1/3*r - 1/3 + 2/3*r**4 + r**2 = 0.
-1/2, 1
Let o(i) = 20*i**2 + 10*i - 18. Let s(j) = 8*j**2 + 4*j - 7. Let n(x) = 5*o(x) - 12*s(x). Solve n(m) = 0.
-3/2, 1
Let y(o) be the third derivative of -1/540*o**6 - 2*o**2 + 0*o + 1/45*o**5 + 0 - 1/9*o**4 + 8/27*o**3. Determine k, given that y(k) = 0.
2
Let k(y) be the first derivative of -y**8/112 + y**7/35 + 3*y**6/40 - y**5/5 - y**4/2 - 5*y**2/2 + 11. Let p(n) be the second derivative of k(n). Factor p(t).
-3*t*(t - 2)**2*(t + 1)**2
Let n(d) be the first derivative of -d**6/3 - 11*d**5/5 - 23*d**4/4 - 23*d**3/3 - 11*d**2/2 - 2*d - 2. Factor n(w).
-(w + 1)**3*(w + 2)*(2*w + 1)
Suppose 6 + 15 = 7*q. Suppose 10/9*u**q - 4/9*u**2 + 0*u + 14/9*u**4 + 0 = 0. What is u?
-1, 0, 2/7
Let j be 8/20*(-5)/(-6). Factor -1/3*t + 0 - j*t**2.
-t*(t + 1)/3
What is r in -4*r**3 + 179*r - 2*r**4 - 2*r**2 + 184*r - 363*r = 0?
-1, 0
Let r(l) be the first derivative of -l**7/280 - l**6/60 - l**5/40 + 4*l**3/3 + 6. Let j(m) be the third derivative of r(m). Find v such that j(v) = 0.
-1, 0
Factor -2*z**3 - z**2 - 1/4*z**5 + 0 - 5/4*z**4 + 0*z.
-z**2*(z + 1)*(z + 2)**2/4
Let c = 6 + 8. Let d be (-21)/c*(-16)/6. Let -2*k**2 + 4 + 4*k - d = 0. Calculate k.
0, 2
Let m(c) = -c**3 + 6*c**2 + 4. Let h be m(6). Let i(f) be the second derivative of 0 - 1/24*f**h + f + 0*f**3 + 0*f**2. Suppose i(l) = 0. What is l?
0
Let u(f) be the first derivative of -f**3/33 - 9*f**2/22 - 8*f/11 - 16. Factor u(y).
-(y + 1)*(y + 8)/11
Let g be ((-2)/(-4))/((-9)/(-54)). Let s(f) be the first derivative of 1/5*f**g + 3/20*f**4 + 2 + 1/10*f**2 + 1/25*f**5 + 0*f. Suppose s(c) = 0. What is c?
-1, 0
Let i(d) be the third derivative of -d**8/504 - d**7/420 + d**6/270 - d**3/6 - 3*d**2. Let b(n) be the first derivative of i(n). Factor b(g).
-2*g**2*(g + 1)*(5*g - 2)/3
Let g(s) be the third derivative of -s**7/210 - s**6/60 - s**5/60 - 5*s**2. Factor g(z).
-z**2*(z + 1)**2
Suppose 4*j = 4*d - 32, 3 = -4*d - 3*j - 0. Factor -6/5*v + d*v**3 + 0 + 9/5*v**2.
3*v*(v + 1)*(5*v - 2)/5
Suppose -v**4 + 10/3*v**2 + 8/3 + 5/3*v**3 - 20/3*v = 0. What is v?
-2, 2/3, 1, 2
Let u be 39/(-9) - 35/(-7). Determine f so that 0 + u*f**2 + 0*f = 0.
0
Suppose 2*z + 3*z = -3*c - 3, -4*c = 4. Let o be -3 - -2*(-2 + (-46)/(-12)). Let z + 2/3*y**3 + 4/3*y**2 + o*y = 0. Calculate y.
-1, 0
Let z(i) be the first derivative of 0*i + 1 + 1/120*i**5 + 0*i**3 - 1/24*i**4 + 1/2*i**2. Let d(u) be the second derivative of z(u). Factor d(p).
p*(p - 2)/2
Find u, given that -1/4*u**2 + 3/2 - 1/4*u = 0.
-3, 2
Let u(t) be the third derivative of -t**6/160 + t**4/32 - 4*t**2. Find m, given that u(m) = 0.
-1, 0, 1
Suppose 20 = 6*b + 8. Suppose 4/7 - 24/7*f**b + 2*f**3 + 6/7*f = 0. What is f?
-2/7, 1
Find v such that 0 + 2/5*v**2 + 8/5*v = 0.
-4, 0
Let z(g) be the third derivative of -g**7/2520 - g**4/12 + 2*g**2. Let f(c) be the second derivative of z(c). Factor f(h).
-h**2
Suppose -4*h + 6 - 9*h - 2 - 7*h + 25*h**2 = 0. Calculate h.
2/5
Let l(m) be the second derivative of 0*m**2 + 0 - 1/15*m**3 + 8*m - 1/15*m**4 - 4/75*m**6 + 7/50*m**5. What is u in l(u) = 0?
-1/4, 0, 1
Suppose 11 = 3*o - 1. Let q = -4/65 + 341/260. Factor -q*t**o - 2*t**3 + 1/2*t - 1/4*t**2 + 0.
-t*(t + 1)**2*(5*t - 2)/4
Let w = 287 + -287. Suppose 0*g**3 - 4/9*g**2 + 2/9*g**5 + w + 4/9*g**4 - 2/9*g = 0. Calculate g.
-1, 0, 1
Let p(b) be the first derivative of -64*b**5/15 - 8*b**4/3 - 4*b**3/9 - 25. Factor p(x).
-4*x**2*(4*x + 1)**2/3
Let s(o) = -o**2 - 6*o - 5. Let g be s(-3). Factor -2*y**5 + 8*y**3 + y**4 + 4*y**5 + 5*y**g + 2*y**4.
2*y**3*(y + 2)**2
Let k = 1424/3 - 8534/21. Let i = k + -68. Factor i*o**3 + 0*o**2 + 0 - 2/7*o.
2*o*(o - 1)*(o + 1)/7
Suppose 16 - 16*x - 1/2*x**4 - 3*x**2 + 7/2*x**3 = 0. Calculate x.
-2, 1, 4
Suppose -2*r + 1 = v, 14 = 3*r - 0*r - v. Factor t**r + 1/3*t**4 + 0 + 1/3*t + t**2.
t*(t + 1)**3/3
Let r be 2064/(-1260) + (-5)/(-3). Let m(n) be the second derivative of 1/105*n**6 + r*n**5 - 2*n + 0 + 0*n**3 + 0*n**2 + 1/42*n**4. Let m(o) = 0. What is o?
-1, 0
Find x such that 1/2*x**3 - 1/2 - 3/2*x**2 + 3/2*x = 0.
1
Suppose 0 = -2*u - q - 0*q - 1, 3*q = -15. Factor 0 + 2/13*m**u + 0*m + 2/13*m**4 - 4/13*m**3.
2*m**2*(m - 1)**2/13
Suppose -2*j + 2*z + 14 = 0, 2*j + 8*z - 3*z = -21. Let f(r) be the first derivative of -3 + 5/8*r**j - 1/3*r**3 - 1/4*r. Factor f(p).
-(p - 1)*(4*p - 1)/4
Let c(r) be the first derivative of r**6/24 - r**5/10 + r**4/16 - 6. Factor c(f).
f**3*(f - 1)**2/4
Let b = 32 + -131. Let y be (-10)/(-66) - 18/b. Factor 0 + 1/3*x - 2/3*x**5 + 5/3*x**4 - y*x**2 - x**3.
-x*(x - 1)**3*(2*x + 1)/3
Suppose -5*z - 97 = -7. Let l be z/(-8) - (-3)/(-12). Suppose -40/7*q - 8/7 - 50/7*q**l = 0. Calculate q.
-2/5
Let b(x) be the first deriva