+ 10 = 2. Suppose 4 - 5 + 4*s + 3 + 2*s**v = 0. What is s?
-1
Let n(r) be the first derivative of -3/8*r**4 + 4 - 1/2*r**3 + 3/20*r**5 + 1/8*r**6 + 3/8*r**2 + 3/4*r. Factor n(b).
3*(b - 1)**2*(b + 1)**3/4
Solve 8/5*x**3 + 0 + 0*x + 2/5*x**2 = 0.
-1/4, 0
Factor 6*p**2 + 53 - 2*p**3 + 2*p - 2*p**4 - 27 - 30.
-2*(p - 1)**2*(p + 1)*(p + 2)
Let z(j) = -2*j**4 - 2*j**3 - 2*j**2 - 2*j. Let p(r) = -3*r**4 - 4*r**3 - 4*r**2 - 3*r. Let w = 23 + -16. Let y(h) = w*z(h) - 4*p(h). Factor y(l).
-2*l*(l - 1)**2*(l + 1)
Let n = 38914938 + -55025718731/1414. Let q = 5/202 + n. Find l, given that q*l + 20/7*l**2 - 8/7*l**3 + 4/7 - 10/7*l**5 - 24/7*l**4 = 0.
-1, -2/5, 1
Let m(r) = -11*r**2 - 3*r - 13. Let l(y) = 5*y**2 + y + 6. Let z be 0 - (-8 + 1/1). Suppose -2 = j + z. Let n(o) = j*l(o) - 4*m(o). Factor n(q).
-(q - 2)*(q - 1)
Let i be ((-3)/4)/(-2*6/32). Let a(b) be the second derivative of 1/8*b**3 + 0 - 1/48*b**4 + 2*b - 1/4*b**i. Factor a(g).
-(g - 2)*(g - 1)/4
Determine i so that -3/2*i**3 + 1/2*i - 5/3*i**2 + 0 + 2/3*i**4 = 0.
-1, 0, 1/4, 3
Let r = 751/7 - 107. What is d in -r - 6/7*d**2 + 8/7*d = 0?
1/3, 1
Let k(d) be the first derivative of -2*d**3/15 + d**2/5 + 1. Factor k(o).
-2*o*(o - 1)/5
Let -6/5*i + 6/5*i**2 + 2/5 - 2/5*i**3 = 0. What is i?
1
Let s(f) be the first derivative of 0*f - 1/2*f**4 - 1/18*f**6 - 4/9*f**3 - 1/6*f**2 - 3 - 4/15*f**5. Determine z, given that s(z) = 0.
-1, 0
Let w be 6*(-8)/(-12)*1. Factor 1/4*t**5 - 1/4*t**2 + 1/4*t**w + 0*t + 0 - 1/4*t**3.
t**2*(t - 1)*(t + 1)**2/4
Let v(d) be the first derivative of -d**7/630 + 2*d**6/135 - 2*d**5/45 - 4*d**3/3 + 4. Let y(h) be the third derivative of v(h). Suppose y(q) = 0. Calculate q.
0, 2
Let u(y) be the first derivative of 49*y**3 + 21*y**2 + 4*y - 4 + 343/8*y**4. Determine s so that u(s) = 0.
-2/7
Suppose j = -0*j + 3. Factor 4/3*v**2 + 2/3 + 1/3*v**j + 5/3*v.
(v + 1)**2*(v + 2)/3
Let f = 260 - 1296/5. Let q = 189 - 937/5. Suppose -2*z - f - 2/5*z**3 - q*z**2 = 0. Calculate z.
-2, -1
Let z(p) be the first derivative of 2*p**5/25 - p**4/10 - 2*p**3/15 + p**2/5 + 35. Solve z(i) = 0 for i.
-1, 0, 1
Let w(q) be the third derivative of 3*q**8/448 + q**7/70 + q**6/160 + 13*q**2 - 1. Solve w(o) = 0.
-1, -1/3, 0
Let u(x) = x**2 - 7*x - 6. Let g be u(8). Suppose -10*v + 5*v = 15, -4*v - 6 = 3*p. Let p*j**4 - g*j**2 + 0 + 2/3*j**3 - 2/3*j = 0. Calculate j.
-1, -1/3, 0, 1
Let n(s) be the first derivative of 1/6*s**6 + 0*s**4 + 3 + 0*s**2 + 1/5*s**5 + 0*s**3 + 0*s. Factor n(h).
h**4*(h + 1)
Let h(c) be the second derivative of 0*c**2 - 1/40*c**5 + 1/12*c**4 + 0 - 4*c - 1/12*c**3. Factor h(x).
-x*(x - 1)**2/2
Factor -6*c**2 - 4*c + 3*c**3 + 13*c**3 - 6*c**3.
2*c*(c - 1)*(5*c + 2)
Let l(r) be the third derivative of -r**7/231 + 7*r**6/660 + 19*r**5/165 - 19*r**4/33 + 8*r**3/11 - 35*r**2. Let l(a) = 0. Calculate a.
-3, 2/5, 2
Let f be (-15)/(-9) + 22/(-15). Determine a so that 0 - f*a**4 + 3/5*a**3 - 2/5*a**5 - 1/5*a + 1/5*a**2 = 0.
-1, 0, 1/2, 1
Let u(f) be the second derivative of f**7/7 - 8*f**6/15 + 3*f**5/5 - f**3/3 - 11*f. Let u(c) = 0. What is c?
-1/3, 0, 1
Let j(o) be the first derivative of -7*o**6/15 - 74*o**5/25 - 73*o**4/10 - 134*o**3/15 - 28*o**2/5 - 8*o/5 + 21. Suppose j(h) = 0. What is h?
-2, -1, -2/7
Let f(i) be the third derivative of 1/120*i**7 - 3/80*i**5 + 0*i + 1/12*i**3 + 0 + 1/96*i**6 - 5/96*i**4 - 4*i**2. Factor f(d).
(d - 1)*(d + 1)**2*(7*d - 2)/4
Let c(m) be the third derivative of -m**8/336 + m**7/42 - 7*m**6/120 - m**5/60 + m**4/3 - 2*m**3/3 + 8*m**2. Determine n so that c(n) = 0.
-1, 1, 2
Let y(c) be the third derivative of 0*c**4 - 1/180*c**5 + 4*c**2 + 0*c + 1/1260*c**7 + 1/36*c**3 + 0*c**6 + 0. Factor y(b).
(b - 1)**2*(b + 1)**2/6
Let p(h) be the third derivative of h**8/168 + 2*h**7/35 + h**6/5 + h**5/3 + h**4/4 + 21*h**2. Let p(v) = 0. Calculate v.
-3, -1, 0
Find w, given that 4*w**3 + 0*w**3 + 4*w**5 - 2*w**4 + 2*w**4 - 8*w**4 = 0.
0, 1
Let f(o) be the first derivative of 0*o - 5/2*o**4 - 1 + o**2 - 6/5*o**5 - 2/3*o**3. Let f(a) = 0. What is a?
-1, 0, 1/3
Let g(k) be the third derivative of k**6/180 + k**5/45 + 6*k**2. Suppose g(u) = 0. What is u?
-2, 0
Let i(p) be the first derivative of -p**4/8 + 11*p**3/6 - 19*p**2/4 + 9*p/2 + 16. Solve i(w) = 0.
1, 9
Let j(f) = -5*f**2 - 2*f + 4. Let m(s) = 6*s**2 + 3*s - 4. Suppose 3*w = r + 5 + 6, -r - 3 = -w. Let g = 7 - r. Let z(k) = g*m(k) + 7*j(k). Factor z(u).
(u + 2)**2
Let m(l) = 28*l**3 - l**2 - l + 1. Let f be m(1). Let b = f - 24. Solve -2/9*w**2 + 0*w + 2/9*w**5 + 2/9*w**4 + 0 - 2/9*w**b = 0.
-1, 0, 1
Let v(x) be the second derivative of -x**6/270 - x**5/180 + x**4/54 + 6*x. Factor v(c).
-c**2*(c - 1)*(c + 2)/9
Suppose -2*v + 35 = 3*l - 0*v, 5*l - 2*v - 37 = 0. Suppose -5*x = -25, 2*m - x + l = 2*x. Factor 0*s**2 + 0 + 0*s + 2/7*s**m + 2/7*s**5 - 4/7*s**4.
2*s**3*(s - 1)**2/7
Let -7*z + 8*z**4 + z - 36*z**3 + 7*z**4 + 27*z**2 = 0. Calculate z.
0, 2/5, 1
Let y(o) be the second derivative of -o**5/120 + o**4/36 - 20*o. Factor y(d).
-d**2*(d - 2)/6
Suppose 3*k = -4*d + 9, 4*k - 8 - 4 = -4*d. Determine j, given that 0 - 2 + d + 6*j**2 - 4*j**2 = 0.
-1, 1
Let t(m) be the second derivative of -m**8/560 - m**7/280 + m**6/120 + m**5/40 - m**3/6 + 3*m. Let w(s) be the second derivative of t(s). Factor w(b).
-3*b*(b - 1)*(b + 1)**2
Suppose 0*x = -4*x + 20. Let -6*s**2 + 0*s - 2*s**5 - s**x + 6 - 9*s + 12*s**3 = 0. Calculate s.
-2, -1, 1
Let c(k) be the first derivative of 5*k**6/3 + 4*k**5/5 - 5*k**4 - 8*k**3/3 + 5*k**2 + 4*k + 11. Let c(x) = 0. Calculate x.
-1, -2/5, 1
Let y = -6 - -9. Factor w - 4*w**3 + 2*w**y + w**3 - w**2 + w**4.
w*(w - 1)**2*(w + 1)
Let t be (-6)/(-4)*2205/6. Let c = 554 - t. Factor 4*q**3 - 7/4*q**4 - c*q**2 + 1/2*q + 0.
-q*(q - 1)**2*(7*q - 2)/4
Solve 3*w**4 + 0*w**3 + 4*w**3 - 13*w**3 = 0 for w.
0, 3
Let o(g) be the first derivative of -g**6/27 + 2*g**5/15 - g**4/6 + 2*g**3/27 + 7. Solve o(y) = 0.
0, 1
Suppose -3*b + 15 = 2*b + 5*c, -b = -2*c - 9. Find a, given that -4*a**3 + a**5 + 2*a**4 - 4*a**3 + 2*a**4 + 3*a**b = 0.
-2, 0, 1
Factor 15*y**3 - 3*y**5 - 15*y**4 + 44*y**2 + 8*y**5 - 49*y**2.
5*y**2*(y - 1)**3
Let r(n) be the second derivative of n**7/3780 - 5*n**4/12 + 3*n. Let g(a) be the third derivative of r(a). Solve g(t) = 0 for t.
0
Suppose -15 = 28*w - 33*w. Let r(i) = i + 2. Let q be r(0). Solve -8/3*f**q + 2/3*f**5 + 4/3*f**4 - 4/3*f**w + 2/3*f + 4/3 = 0 for f.
-2, -1, 1
Let u be 36/48 + 26/8. Let s(v) be the first derivative of -2/7*v + 1/7*v**u - 1/7*v**6 + 1/7*v**2 - 2/7*v**5 - 2 + 4/7*v**3. Suppose s(o) = 0. What is o?
-1, 1/3, 1
Let s(f) be the first derivative of 12*f**5 + 7/3*f**6 + 80/3*f**3 + 15*f**2 + 1 + 4*f + 25*f**4. Let s(d) = 0. What is d?
-1, -2/7
Let v be ((-1)/(-3) + 16/24)*2. Factor 2/3*h**3 + 2/3*h**4 - 2/3*h**v + 0 - 2/3*h**5 + 0*h.
-2*h**2*(h - 1)**2*(h + 1)/3
Let u(v) be the second derivative of -5*v**7/42 + v**5/4 + 6*v - 1. Suppose u(f) = 0. Calculate f.
-1, 0, 1
Let -225*t**3 + 288*t**2 + 8 + 75*t**2 + 116*t + 27*t**2 = 0. Calculate t.
-2/15, 2
Let c(b) be the first derivative of 2*b**3/51 - 2*b/17 - 3. Let c(f) = 0. Calculate f.
-1, 1
Let l(s) = -s + 12. Let r be l(12). Let x(a) be the second derivative of 0 + 0*a**3 - a + 0*a**2 + r*a**5 - 1/18*a**4 + 1/45*a**6. Factor x(n).
2*n**2*(n - 1)*(n + 1)/3
Suppose -3*x - 12 + 192 = 0. Determine n so that -41*n**3 + 2*n**2 - 9*n**4 - 36*n - 8 + 2*n**3 - x*n**2 = 0.
-2, -1, -2/3
Let c = 31 + -25. Let w(t) be the first derivative of 5/16*t**4 - 3 + 1/12*t**3 - 3/8*t**c + 0*t + 3/20*t**5 + 0*t**2. Let w(p) = 0. Calculate p.
-1/3, 0, 1
Determine m, given that -3 - 25*m**2 - 4*m + 26*m**2 - 1 + 7 = 0.
1, 3
Find l, given that 2/3*l**2 + 2/3 - 4/3*l = 0.
1
Find z, given that 0 + 14/5*z**3 - 8/5*z + 6/5*z**4 + 0*z**2 = 0.
-2, -1, 0, 2/3
Suppose 2*b + 2*b - 30 = -5*f, 4*b - 28 = -4*f. Let x(u) be the second derivative of 0 - 1/12*u**4 - 1/6*u**3 - u + 0*u**f. Find y such that x(y) = 0.
-1, 0
Factor 1/3 + 2/3*c + 1/3*c**2.
(c + 1)**2/3
Let f(s) be the first derivative of s**6/180 + s**5/30 + s**4/12 - s**3 - 1. Let p(q) be the third derivative of f(q). Factor p(m).
2*(m + 1)**2
Let b(y) be the first derivative of -y**6/6 + 4*y**5/5 - 3*y**4/2 + 4*y**3/3 - y**2/2 + 18. Factor b(h).
-h*(h - 1)**4
Factor 0*t - 2/9*t**4 + 4/9