2/3
Suppose 2*t - 6*t = 88. Let r be ((-3)/7)/(33/t). Suppose -2/7 + r*o**2 + 0*o = 0. Calculate o.
-1, 1
Let c(p) be the third derivative of -p**5/12 - 25*p**4/12 - 125*p**3/6 - 2*p**2. Find b, given that c(b) = 0.
-5
Let t be ((-4)/7)/((-90)/35). Let m(r) be the first derivative of 2 + 1/12*r**4 + t*r**3 + 0*r + 1/6*r**2. Suppose m(y) = 0. What is y?
-1, 0
Let t = 1/6 - -7/6. Determine l, given that 2/3*l**5 + 4/3*l**4 + 0 - t*l**2 + 0*l - 2/3*l**3 = 0.
-2, -1, 0, 1
Let w be -5*(2 - (-456)/(-220)). Let x = 157 + -155. Factor 2/11 + 0*i**3 - w*i**x + 2/11*i**4 + 0*i.
2*(i - 1)**2*(i + 1)**2/11
Let j = -1/141 + 5087/1551. Let p = -20/33 + j. Suppose -16*u - 34/3*u**2 + 14*u**4 - p + 146/3*u**3 - 98/3*u**5 = 0. What is u?
-1, -2/7, 1
Let f(w) be the third derivative of -1/60*w**5 + 8*w**2 - 1/4*w**4 - 3/2*w**3 + 0 + 0*w. Factor f(i).
-(i + 3)**2
Let r(u) = -u**2 + 8*u + 5. Let b be r(8). Let y be (-1)/(-2) + b/70. Factor 2/7*m**2 + 2/7 - y*m.
2*(m - 1)**2/7
Let d(p) be the second derivative of 0 - p**2 + 3*p - 1/3*p**3 + 1/10*p**5 + 1/6*p**4. Determine u so that d(u) = 0.
-1, 1
Let l(f) = 2*f**2 - f - 7. Let u = -16 - -15. Let m(b) = -b**2 - b + 1. Let t(d) = u*l(d) - 3*m(d). Factor t(i).
(i + 2)**2
Let l(i) = -i**3 + 9*i**2 - i - 3. Let d be l(9). Let y be (d/(-75))/((-6)/(-45)). Suppose y*w + 2/5*w**2 + 4/5 = 0. Calculate w.
-2, -1
Let p(v) be the second derivative of -v**5/130 + 4*v**4/39 - v**3/3 + 6*v**2/13 + 53*v. Factor p(t).
-2*(t - 6)*(t - 1)**2/13
Let 2*z**2 + 2*z**2 - 2*z - 5*z**2 - z = 0. Calculate z.
-3, 0
Let h = 16 - 15. Let d = -1 + h. Determine v so that 0*v + 0 - 2/5*v**4 + d*v**2 + 2/5*v**3 = 0.
0, 1
Let v be -3 + (-6 - -21)*(-1)/(-3). Let b(z) be the second derivative of 0*z**4 + 0*z**3 + 0*z**v + 0 - 3*z + 1/20*z**5. Factor b(j).
j**3
Let g(s) = 66*s**3 - 105*s**2 + 12*s - 27. Let a(m) = -5*m**3 + 8*m**2 - m + 2. Let f(u) = 27*a(u) + 2*g(u). Factor f(t).
-3*t*(t - 1)**2
Let h(g) = -g**3 + 5*g**2 + g - 3. Let i be h(5). Find t, given that -4*t**4 - i*t**2 + 6*t**4 + 0*t**2 = 0.
-1, 0, 1
Let h(t) be the second derivative of 0 + 3*t - 1/54*t**4 - 1/90*t**5 + 1/27*t**3 + 0*t**2 + 1/135*t**6. Factor h(f).
2*f*(f - 1)**2*(f + 1)/9
Suppose 6*s - 8*s = -12. Let l be (-1 - 3)/(s/(-8)). Factor -l*k - 4/3 + 25/3*k**3 - 5/3*k**2.
(k - 1)*(5*k + 2)**2/3
Factor 2*d - 6/5 + 4/5*d**2 + 2/5*d**4 - 12/5*d**3 + 2/5*d**5.
2*(d - 1)**3*(d + 1)*(d + 3)/5
Let r(x) be the first derivative of 3 - x**2 + 2/3*x**3 - 4*x. Factor r(s).
2*(s - 2)*(s + 1)
Let d = -7 + 3. Let s be (-7)/(-28) - (-1)/d. Factor 0*u + 2/9*u**2 + s + 4/9*u**3 + 2/9*u**4.
2*u**2*(u + 1)**2/9
Let w be (-3)/6 + (-18)/12. Let c be 5/w*16/(-50). Factor -c*z + 2/5*z**2 + 0.
2*z*(z - 2)/5
Suppose 2*b = -4*n + 34, -5*n + 16 = -4*b - 20. Suppose n*l**2 + 2*l**4 - 5*l**3 - 6*l**3 + 3*l**3 = 0. Calculate l.
0, 2
Let d(g) = -7*g**3 - 3*g**2 - 10*g - 4. Let i(b) = 4*b**3 + b**2 + 5*b + 2. Let l(o) = 2*o - 2. Let v be l(6). Let y(c) = v*i(c) + 6*d(c). Factor y(f).
-2*(f + 1)**2*(f + 2)
Factor -2/3*h + 0*h**2 + 4/9 + 2/9*h**3.
2*(h - 1)**2*(h + 2)/9
Let -8*b**4 - 4/5*b + 46/5*b**3 + 0 - 2/5*b**2 = 0. Calculate b.
-1/4, 0, 2/5, 1
Suppose 1 = -2*g - 2*u + 7, -6 = 3*u. Factor -b**g + 0*b**5 + 3*b**5 - 4*b**3 + 0*b**3 + 2*b**4.
2*b**3*(b - 1)*(b + 2)
Factor 122*x + 0*x**3 - x**3 - 124*x + 2*x**4 - 2*x**2 + 3*x**3.
2*x*(x - 1)*(x + 1)**2
Let x(l) be the second derivative of 1/20*l**5 - 1/2*l**2 + 0 - 1/6*l**3 + 1/12*l**4 - 2*l. Solve x(z) = 0.
-1, 1
Let s = -701/5 + 142. Find h, given that 3/5*h + s*h**2 + 3/5*h**4 + 0 + 9/5*h**3 = 0.
-1, 0
Suppose -4*v = 3*z - 8, 2*v + 3*z + z = 4. Determine s, given that 3 + 5*s + 1 - 7*s - 2*s**v = 0.
-2, 1
Let l(n) = n**2 - 2*n - 1. Suppose -3*y + 2*s - 15 = -s, 0 = s - 3. Let m be l(y). Determine w so that 4*w + 0*w + m*w - 9*w - w**2 = 0.
0, 2
Find q such that -242/5 - 2/5*q**2 - 44/5*q = 0.
-11
Suppose -i + 10 = 2*g - 5*i, -4*g - i + 29 = 0. Let r = -4 + g. Factor 0*c + 0 + 1/6*c**2 + 1/6*c**r.
c**2*(c + 1)/6
Find c such that -3*c**2 + c**3 - 3*c**3 + 8 + 15*c**2 - 18*c + 0*c**2 = 0.
1, 4
Suppose 7*v - 5 = 9. Find p such that 8/3*p**v - 10/3*p + 4/3 - 2/3*p**3 = 0.
1, 2
Let w(o) be the second derivative of 1/21*o**6 + 2/21*o**4 + 0*o**3 - 4/35*o**5 + 0*o**2 - 1/147*o**7 + 0 + o. Factor w(z).
-2*z**2*(z - 2)**2*(z - 1)/7
Let f(x) = -10*x**4 - 6*x**3 + 4*x**2 - 7*x. Let a = 1 - -2. Let v(y) = 4*y + 3*y**4 - y**2 + 0*y - 2*y + 2*y**a. Let d(c) = -2*f(c) - 7*v(c). Factor d(o).
-o**2*(o + 1)**2
Suppose -2*b = 5*p - 16, b - 12 = -3*b. Suppose -p*h + 0 = -4. Suppose 2*g**h - 2/5*g - 2/5 - 6/5*g**3 = 0. What is g?
-1/3, 1
Suppose -3*f = -2*f - p - 2, -f - p + 6 = 0. Let y(x) be the second derivative of 7/30*x**6 + 9/4*x**f + x**2 + 0 - 13/6*x**3 - 23/20*x**5 - 2*x. Factor y(m).
(m - 1)**3*(7*m - 2)
Let p(j) be the third derivative of j**6/30 + 2*j**5/15 - 8*j**2. Let p(r) = 0. What is r?
-2, 0
Suppose -2/5*a**2 - 2/5*a**3 + 4*a - 16/5 = 0. What is a?
-4, 1, 2
Let b(o) = 3*o**2 + 3*o - 5. Let p(f) = -2*f**2 - 2*f + 3. Let k(h) = -3*b(h) - 5*p(h). Let w(c) = 6*c**2 - 22*c + 36. Let x(a) = 2*k(a) - w(a). Factor x(l).
-4*(l - 3)**2
Let a(x) = -4*x**3 + 4. Let q(r) = -r**2 - 1. Let k(u) = a(u) + 4*q(u). Factor k(j).
-4*j**2*(j + 1)
Let u(i) = 13*i**2 + 137*i + 864. Let b(t) = -7*t**2 - 68*t - 432. Let z(r) = -7*b(r) - 4*u(r). Factor z(k).
-3*(k + 12)**2
Let r(n) be the second derivative of n**9/52920 - n**7/8820 + n**4/12 - n. Let f(g) be the third derivative of r(g). Factor f(q).
2*q**2*(q - 1)*(q + 1)/7
Let s be -4 + 2*2/(-12)*-21. Factor -1/2*l**s + 0*l + 0 - 1/2*l**2.
-l**2*(l + 1)/2
Let q = -78 - -82. Suppose 0*c + 2/5*c**q - 2/5*c**2 + 0*c**3 + 0 = 0. Calculate c.
-1, 0, 1
Let h(g) be the first derivative of 5/6*g**3 + 4 + 9/10*g**5 - 2*g**4 + 0*g + 1/2*g**2. Determine v so that h(v) = 0.
-2/9, 0, 1
Let p(c) = 21*c**2 + 132*c + 141. Let v(h) = -3*h**2 - 19*h - 20. Let t(d) = -2*p(d) - 15*v(d). Factor t(s).
3*(s + 1)*(s + 6)
Let m = -65 - -71. Factor 2*l**2 + 0 + 10/3*l**4 + m*l**3 - 2/3*l.
2*l*(l + 1)**2*(5*l - 1)/3
Let h(q) = -q**2 + 9*q - 11. Let u be h(7). Let r(c) be the first derivative of 1 + 2/7*c**2 + 2/3*c**u + 0*c. Factor r(b).
2*b*(7*b + 2)/7
Let h(d) be the third derivative of -d**5/60 + d**4/24 + d**3/3 + 29*d**2. Factor h(t).
-(t - 2)*(t + 1)
Let c(y) be the second derivative of y**7/105 + 2*y**6/75 - y**5/25 - 2*y**4/15 + y**3/15 + 2*y**2/5 - 16*y. Suppose c(k) = 0. Calculate k.
-2, -1, 1
Let u(j) = j**3 + 11*j**2 + 8*j - 8. Let v be u(-10). Suppose v*y + 42*y**2 - 18*y**2 + 20*y**2 - 12*y**3 - 36*y**4 - 8 = 0. Calculate y.
-1, -2/3, 1/3, 1
Let u = 51/220 + -2/11. Let x(y) be the first derivative of 0*y**3 - 1/16*y**4 + 0*y**2 + 1 + 0*y - u*y**5. Factor x(f).
-f**3*(f + 1)/4
Let p(o) be the second derivative of 5*o**4/54 + 17*o**3/27 + 2*o**2/3 + 2*o. Determine g so that p(g) = 0.
-3, -2/5
Suppose -75 = -5*a - 0*a. Let j = a + -8. Suppose 6 + 2 + 2*z**3 + 16*z + j*z**2 + 3*z**2 = 0. Calculate z.
-2, -1
Let q(w) be the first derivative of 169*w**4/4 + 52*w**3/3 + 2*w**2 - 3. Factor q(c).
c*(13*c + 2)**2
Let u be ((-1)/(-1) - -9) + -8. Let 3/4 + 1/4*h**3 + 5/4*h**u + 7/4*h = 0. What is h?
-3, -1
Let s(x) = x**2 - 2*x + 1. Let i be s(1). Let j be (-6 - i)/(-2 + 0). Determine y, given that -18*y**4 - 14*y**5 + 18*y**2 + 2*y + 2*y - 3*y**j + 13*y**3 = 0.
-1, -2/7, 0, 1
Let c(k) = k**3 + k**2 + k + 1. Let x(r) be the first derivative of -2*r**5/5 - r**4/2 - 20*r**3/3 - 3*r**2 - 10*r + 1. Let n(w) = -10*c(w) - x(w). Factor n(d).
2*d*(d - 2)*(d - 1)**2
Solve -51*f**2 + 57/2*f + 9 + 27/2*f**3 = 0.
-2/9, 1, 3
Suppose -5*i + 35 = 5. Let b be ((-2)/i)/((-2)/12). Factor 2*q**b + 0*q + 3*q - q.
2*q*(q + 1)
Let q(o) = 6*o**3 - 2*o**2 + 2*o - 2. Let l(h) = h**4 + h**2 + h - 1. Let d = 12 - 10. Let p(f) = d*l(f) - q(f). Factor p(k).
2*k**2*(k - 2)*(k - 1)
Let c = 3 - 26/9. Let u(j) be the second derivative of 2*j + 0 + 0*j**2 - 1/36*j**4 + c*j**3. Factor u(d).
-d*(d - 2)/3
Factor 2/5*i**3 + 2/5*i**2 + 0 + 0*i.
2*i**2*(i + 1)/5
Let l(i) be the first derivative of 2*i**3/3 - 2*i**2 + 2*i + 5. Factor l(z).
2*(z - 1)**2
Let h(f) be the first derivative of f**7/525 + f**6/300 + 3*f**2/2 + 3. Let p(t) be the second derivative of h(t). Factor p(q).
2*q**3*(q + 1)/5
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