 4 - 5 + 3.
-2*(v + 1)*(3*v - 1)
Let z be (4/5)/((-2)/(-5)). Suppose -z*t**2 + 18/7*t - 4/7 = 0. Calculate t.
2/7, 1
Let m be (5/4)/((-12)/(-48)). Let z be 3 + ((-70)/6)/m. Factor -7/3*l + z + 5/3*l**2.
(l - 1)*(5*l - 2)/3
Let x(j) be the second derivative of j**10/10080 - j**8/1120 + j**6/240 - 2*j**4/3 + 2*j. Let n(h) be the third derivative of x(h). Solve n(y) = 0.
-1, 0, 1
Let l(g) be the first derivative of 2*g**3/21 + 2*g**2/7 - 6*g/7 - 9. Factor l(i).
2*(i - 1)*(i + 3)/7
Suppose -y + 2*y - 3 = -s, -3*y = -3*s + 3. Let r(x) be the first derivative of 0*x - 1/16*x**4 - 2 + 0*x**3 + 1/8*x**s. Factor r(d).
-d*(d - 1)*(d + 1)/4
Let u(z) be the first derivative of -z**5/25 + 3*z**4/20 - 2*z**2/5 - 12. Let u(s) = 0. Calculate s.
-1, 0, 2
Let u(n) = 25*n**3 - 5*n**2 - 13*n - 4. Let q(s) = 75*s**3 - 15*s**2 - 40*s - 12. Let f(d) = -3*q(d) + 8*u(d). Factor f(x).
-(x - 1)*(5*x + 2)**2
Factor 1/5*h**5 + 0 - 4/5*h**2 - 4/5*h**4 + 6/5*h**3 + 1/5*h.
h*(h - 1)**4/5
Let c(t) be the third derivative of 5/24*t**4 + 1/120*t**6 + 0*t + 7*t**2 - 1/15*t**5 + 0 - 1/3*t**3. Find h, given that c(h) = 0.
1, 2
Find g, given that 0*g**2 - 4/5*g**3 + 2/5*g**4 - 2/5 + 4/5*g = 0.
-1, 1
Let h = -2737/9 + 305. Let u(j) be the first derivative of 4/3*j**2 - 3 - 2/3*j - h*j**3. Factor u(p).
-2*(2*p - 1)**2/3
Find r, given that r**5 + 0*r**5 - 2*r**5 + 3*r**3 - 2*r**5 = 0.
-1, 0, 1
Suppose -36/7*k**3 - 10/7*k**4 + 0 + 16/7*k - 24/7*k**2 = 0. Calculate k.
-2, 0, 2/5
Let l(x) be the third derivative of x**5/30 + 4*x**4/3 + 64*x**3/3 + 23*x**2. Factor l(g).
2*(g + 8)**2
Let m(h) = h**2 - 6*h - 35. Let a be m(-4). Determine l so that -14/9*l**4 - 8/9 + 10/9*l**a + 22/9*l**2 - 26/9*l**3 + 16/9*l = 0.
-1, 2/5, 1, 2
Let h = -10 + 9. Let w(i) = -i**2 - i. Let n(l) be the second derivative of 11*l**4/12 - 2*l**3 + 2*l**2 - l. Let m(o) = h*n(o) - 4*w(o). Factor m(z).
-(z - 2)*(7*z - 2)
Let y be -6 + 2/16*(59 - 5). Factor -y*g**4 + 3/2*g + 3/4*g**2 - 3/2*g**3 + 0.
-3*g*(g - 1)*(g + 1)*(g + 2)/4
Let w be 3 + 1*6/(-4). Suppose 0*n + 0*n**2 + 3/4*n**4 + 0 - w*n**3 = 0. What is n?
0, 2
Let x be 27/(-12)*2*3/(-27). Let 0*l**2 - 1/4*l**4 + x*l + 1/4 - 1/2*l**3 = 0. Calculate l.
-1, 1
Suppose 2*j + 5*r + 12 = 0, j - 8 = -2*r + 3*r. Suppose 9*s - s**j + 2 + 2*s**4 + 9*s**2 - 2*s + 5*s**3 = 0. Calculate s.
-2, -1
Factor -q + 8*q**3 - 12*q**3 - 3*q - 8*q**2.
-4*q*(q + 1)**2
Determine y, given that -19*y**2 + 52*y**3 - 20*y**4 - 35*y**2 + 12 + 6*y**4 + 8*y - 4 = 0.
-2/7, 1, 2
Factor -2/5*p**2 + 2/5*p + 4/5.
-2*(p - 2)*(p + 1)/5
Let y(w) be the third derivative of -w**8/112 + w**7/98 + 9*w**6/280 - w**5/28 - w**4/28 + 6*w**2. What is r in y(r) = 0?
-1, -2/7, 0, 1
Let z(h) be the third derivative of -2/315*h**7 + 0*h**3 + 6*h**2 + 1/45*h**5 + 0*h + 0*h**6 - 1/504*h**8 + 0 + 1/36*h**4. Determine f so that z(f) = 0.
-1, 0, 1
Let i(v) = -2*v - 6*v**2 + 127 - 127. Let z(p) = 0 + 2*p + 0 + 5*p**2. Let r(d) = -6*i(d) - 7*z(d). Factor r(t).
t*(t - 2)
Let h(l) = 3*l**4 + 5*l**3 - 15*l**2 - 7*l + 12. Let z(u) = 35*u**4 + 60*u**3 - 180*u**2 - 85*u + 145. Let i(n) = -25*h(n) + 2*z(n). Factor i(f).
-5*(f - 1)**2*(f + 1)*(f + 2)
Let b(i) = i**3 + 10*i**2 - 12*i - 9. Let m be b(-11). Factor -2*q - q**2 - 2 + q + 0*q**2 + m*q**2.
(q - 2)*(q + 1)
Let h(x) = -2*x - 27. Let c be h(-14). Let g(y) be the first derivative of c + 0*y**2 - 2/3*y**3 - 1/4*y**4 + 0*y + 1/5*y**5. Let g(f) = 0. Calculate f.
-1, 0, 2
Let u(v) = -v**2 - 8*v. Let y be u(-8). Let f(m) be the second derivative of 0 - 1/40*m**5 + 2*m + 0*m**3 + y*m**2 - 1/24*m**4. Factor f(w).
-w**2*(w + 1)/2
Suppose -3*z = -z - 16. Suppose -b + z = 5. Determine n, given that 0 - 2/9*n**2 - 2/9*n**b + 4/9*n = 0.
-2, 0, 1
Let k be (-8)/(-60) + (-235)/75. Let i be (-48)/(-18) - 1/k. Solve -1 - 7*o**4 - 7/2*o + 3*o**2 + 17/2*o**i = 0.
-1/2, -2/7, 1
Suppose -15*q = -11*q - 2*n - 12, -q - 3*n = -10. Solve 4/5*f**2 - 2/5*f**5 + 0 + 0*f**q + 6/5*f**3 + 0*f = 0.
-1, 0, 2
Let b(x) = 27*x - 30. Let k(i) = -i**2 - 54*i + 60. Let j(c) = -5*b(c) - 3*k(c). Solve j(o) = 0 for o.
-10, 1
Let w(s) = -11*s**2 + 1 + 2 - 13*s - 5. Let f(j) = 35*j**2 - 15*j + 67*j + 9*j**2 + 8. Let p(r) = -6*f(r) - 26*w(r). Factor p(l).
2*(l + 1)*(11*l + 2)
Find a such that 15*a**4 + 14*a**4 - 27*a**4 = 0.
0
Suppose 2/7*o**3 + 0*o - 2/7*o**2 + 0 = 0. Calculate o.
0, 1
Let t(a) be the first derivative of -a**6/15 - 46*a**5/125 - 7*a**4/10 - 34*a**3/75 + 4*a**2/25 + 8*a/25 - 22. Find s, given that t(s) = 0.
-2, -1, 2/5
Let m(g) be the first derivative of -4 - 4/11*g + 6/11*g**3 - 7/11*g**2. Solve m(w) = 0 for w.
-2/9, 1
Let c be -5 + 0 + (-33)/(-6). Factor -1/2*l**2 - 1/4*l + 1/4*l**5 + c*l**4 + 0*l**3 + 0.
l*(l - 1)*(l + 1)**3/4
Let q(x) be the third derivative of -x**7/1680 - x**6/240 - x**5/80 - x**4/48 + x**3/6 - 2*x**2. Let c(d) be the first derivative of q(d). Factor c(p).
-(p + 1)**3/2
Let t(h) be the second derivative of h**5/40 - h**4/8 + h**3/4 - h**2/4 - 2*h. Factor t(r).
(r - 1)**3/2
Let x be (-6)/(-8)*32/36. Let p(r) be the third derivative of 0*r - 2*r**2 + 0 - x*r**4 + 4/3*r**3 + 1/10*r**5. Let p(d) = 0. What is d?
2/3, 2
Let b(i) = -i**2 + i + 1. Let a(u) = 18*u**2 - 13*u - 20. Let d(o) = o - 1. Let k(r) = -a(r) - 4*d(r). Let q(l) = 15*b(l) - k(l). Factor q(p).
3*(p - 1)*(p + 3)
Let b(i) = -2*i + 6. Let c be b(7). Let k = c + 13. Find n, given that -4*n**5 + 0*n**k + n**4 + 3*n**5 = 0.
0, 1
Let k(l) be the first derivative of l**9/252 - l**8/840 - l**7/420 - 4*l**3/3 + 5. Let v(m) be the third derivative of k(m). Solve v(x) = 0 for x.
-1/3, 0, 1/2
Let c(s) be the first derivative of -s**6/180 + s**5/30 + 5*s**3/3 - 4. Let u(q) be the third derivative of c(q). Factor u(h).
-2*h*(h - 2)
Let u(p) be the third derivative of -p**7/1050 + 10*p**2. Factor u(n).
-n**4/5
Let v(j) be the third derivative of 1/1008*j**8 + 1/180*j**5 + 0 + 0*j**4 + 0*j**3 - j**2 - 1/360*j**6 + 0*j - 1/630*j**7. Factor v(a).
a**2*(a - 1)**2*(a + 1)/3
Let x(z) be the first derivative of -3 + 0*z - z**2 - 2/3*z**3. Factor x(q).
-2*q*(q + 1)
Let o(b) = -2*b**2 - 5*b + 7. Let j be o(3). Let g be (-2)/12 - j/12. Let -2/5*q**3 + 8/5*q**g + 4/5 - 2*q = 0. What is q?
1, 2
Suppose 81*l = 95*l. Solve 2/9*b**4 - 2/3*b**2 + 0 + 4/9*b + l*b**3 = 0 for b.
-2, 0, 1
Let q(u) = -u**3 + 7*u**2 + u - 4. Let h be q(7). Let o(c) be the first derivative of -1/4*c**4 + c - 3/2*c**2 + c**h + 1. Solve o(l) = 0.
1
Let u(l) be the second derivative of l**8/10080 - l**6/1080 - l**4/6 + 3*l. Let r(k) be the third derivative of u(k). Factor r(a).
2*a*(a - 1)*(a + 1)/3
Let p(h) = -h**3 + 3*h**2 + 4*h + 2. Let f be p(4). Let q = f - 0. Factor -4*w - w - 4 - 7*w - 14*w**q - 6*w.
-2*(w + 1)*(7*w + 2)
What is x in 2*x**3 - 5*x - 4*x**2 - 8*x**3 + 2*x - 4*x**4 - x**5 + 2*x = 0?
-1, 0
Suppose 11*i - 6*i + 15 = 0. Let m(z) = -z**5 - z**4 + z**2 - 2*z + 3. Let r(n) = 2*n**5 + n**4 - n**2 + 3*n - 5. Let v(l) = i*r(l) - 5*m(l). Factor v(s).
-s*(s - 1)**3*(s + 1)
Let m = 3 - 5. Let t be m/(-8) + 22/8. Let 37*w**3 - 88*w**2 - 96*w + 154*w**t - 22*w**4 - 23*w**3 - 16 - 27*w**4 = 0. Calculate w.
-2/7, 2
Find o such that 3*o**3 - 3*o**2 + 16*o - 15*o + 4*o**4 - 5*o**4 = 0.
0, 1
Let i be 2 - 5 - 102/(-17). Factor 15/4*f - 3/4*f**i + 3/4*f**4 - 9/4*f**2 - 3/2.
3*(f - 1)**3*(f + 2)/4
Suppose 2/7*p**4 + 0*p**3 + 0*p - 2/7*p**2 + 0 = 0. What is p?
-1, 0, 1
Let v(h) = h**2 + 13*h. Let q be v(-13). Find p such that q - 3/4*p**2 - 1/2*p = 0.
-2/3, 0
Let u be (10/4)/((-1)/(-2)). Let n be 40/(-12)*6/(-5). Factor -1/3*r**u + 0*r - 1/3*r**n + 1/3*r**3 + 0 + 1/3*r**2.
-r**2*(r - 1)*(r + 1)**2/3
Suppose 4*z - 14 = 2*m, -2*z - m = 3*z - 7. Solve -x**4 + 3*x**4 + 3*x**2 - z - 4*x**3 + 4*x - 3*x**2 = 0 for x.
-1, 1
Let d(s) be the third derivative of -s**6/660 + 17*s**5/110 - 289*s**4/44 + 4913*s**3/33 + 2*s**2 + 7*s. Suppose d(a) = 0. What is a?
17
Let 2/13*t**2 + 2/13*t + 0 = 0. What is t?
-1, 0
Let j(b) be the second derivative of -1/3*b**2 - 1/3*b**3 - 1/6*b**4 - 2*b - 1/30*b**5 + 0. Factor j(d).
-2*(d + 1)**3/3
Let k = -2 - -7. Suppose 4*o + 5*n = -4 + 17, -2*n = -k*o + 8. Factor -o*z**2 - z**3 - 2*z**4 - z**5 + 2*z**2.
-z**3*(z + 1)**2
Suppose -5*k + 37 = -6*o + 8*o, -23 = -3*o - k. Factor 2*s**3 - o*s**2 - 9*s**2 + 9*s**2.
2*s**2*(s - 3)
Let r(n) = n**4 + n + 1. Let