mine r, given that -2/7*r**h + 4/7*r + 0 = 0.
0, 2
Factor -33/4 - 15/4*j**2 + 47/4*j + 1/4*j**3.
(j - 11)*(j - 3)*(j - 1)/4
Let s(t) be the third derivative of t**6/900 - t**5/100 - t**4/15 - 3*t**3/2 + 10*t**2. Let n(o) be the first derivative of s(o). Factor n(j).
2*(j - 4)*(j + 1)/5
Let z(n) be the first derivative of -5/12*n**3 - 6 + 0*n + 25/8*n**2. Factor z(m).
-5*m*(m - 5)/4
Suppose -h = -0*h - 1. Factor -h - 20*m + 119*m**2 - 127*m**2 - 7.
-4*(m + 2)*(2*m + 1)
Let k(g) be the first derivative of -24 + 2/3*g**2 - 2/9*g**3 + 0*g. Solve k(y) = 0.
0, 2
Factor 0*u**3 + 2/11*u**4 - 6/11*u**2 + 0 + 4/11*u.
2*u*(u - 1)**2*(u + 2)/11
Factor -22*f - f**2 + 8*f**2 - 18*f**2 + 9*f**2.
-2*f*(f + 11)
Let f(h) be the third derivative of -h**10/1080 + h**9/756 + h**8/840 - 5*h**4/8 + 4*h**2. Let w(i) be the second derivative of f(i). Factor w(o).
-4*o**3*(o - 1)*(7*o + 2)
Let m = 3/34 + 1/85. Let p(y) be the third derivative of -5*y**2 - m*y**5 + 0*y - 1/6*y**4 + 0*y**3 + 1/12*y**6 + 0. Find g, given that p(g) = 0.
-2/5, 0, 1
Let p(k) be the first derivative of 0*k**2 + 10/9*k**6 + 0*k - 5/9*k**3 + 5/2*k**4 - 3*k**5 + 1. Factor p(j).
5*j**2*(j - 1)**2*(4*j - 1)/3
Suppose -3*w = -5*c - 58 - 5, -2*w - c = -29. Let v = 18 - w. Factor 23 - 10 + r**v - 14.
(r - 1)*(r + 1)
Let x(t) be the third derivative of t**8/1680 - 3*t**7/350 + 4*t**6/75 - 14*t**5/75 + 2*t**4/5 - 8*t**3/15 + 88*t**2. Factor x(a).
(a - 2)**4*(a - 1)/5
Let n be 0/(-2)*2*(-2)/(-4). Let c(h) be the first derivative of 2/3*h**3 - 2/5*h**5 + h**2 - 4 - 1/2*h**4 + n*h. Factor c(w).
-2*w*(w - 1)*(w + 1)**2
Let w(f) be the second derivative of -10*f**3 - 5/12*f**4 + 0 - 18*f - 90*f**2. Suppose w(s) = 0. What is s?
-6
Let o(b) be the second derivative of 0*b**2 + 1/110*b**5 + 1/33*b**3 + 0 + 1/33*b**4 + 12*b. Factor o(f).
2*f*(f + 1)**2/11
Solve 3*b + 3/2*b**2 + 0 = 0 for b.
-2, 0
Let t(b) be the first derivative of -b**6/10 + 3*b**5/5 + 6*b - 7. Let w(i) be the first derivative of t(i). Determine y so that w(y) = 0.
0, 4
Suppose 0*f = 3*f + 3. Let s be 1*f*36/(-90). Find a, given that 0 + s*a + 2/5*a**2 = 0.
-1, 0
Let x(w) be the second derivative of 3*w**7/7 - 16*w**6/5 + 8*w**5/5 + 88*w**4/3 - 208*w**3/3 + 64*w**2 - 325*w. Find o, given that x(o) = 0.
-2, 2/3, 2, 4
Let i = -45 - -48. Find z, given that -1581*z**i - 2*z**2 + 1582*z**3 + 6*z**2 - 15*z + 8 + 2*z**2 = 0.
-8, 1
Let w(t) be the third derivative of t**6/24 + t**5/12 - 5*t**4/12 + 2*t**2 + 117. Factor w(c).
5*c*(c - 1)*(c + 2)
Suppose 2*p - 4*p = -2. Let b(t) be the first derivative of t**5 - 7/3*t**3 - p - 3/2*t**2 + 2*t + 3/4*t**4. Solve b(r) = 0 for r.
-1, 2/5, 1
Let b(h) be the second derivative of -h**4/6 - 350*h**3/3 - 30625*h**2 - 148*h - 1. Solve b(s) = 0.
-175
Let q(t) be the third derivative of -1/3*t**3 + 1/84*t**7 - 11*t**2 + 17/120*t**5 + 0 + 0*t**4 + 3/40*t**6 + 0*t. Solve q(g) = 0.
-2, -1, 2/5
Let y(s) be the third derivative of 7*s**2 + 4/3*s**3 + 1/30*s**5 + 0*s + 0 + 1/3*s**4. Factor y(a).
2*(a + 2)**2
Let p(m) = -8*m - 10. Let h be p(-4). Let n be (h + -1)/(5/5). Find c such that -10*c + n*c + c**3 + 5*c**3 + 3 - c**4 + 14*c**2 - c**5 = 0.
-1, 3
Let v(l) = -16*l**4 - 12*l**3 - 20*l**2 + 20*l + 40. Let j(g) = g**4 + g**3 + g**2 - g - 2. Let y(u) = 20*j(u) + v(u). Factor y(m).
4*m**3*(m + 2)
Let c(j) be the second derivative of 0*j**2 + 0*j**5 - j**4 + 4/3*j**3 + 2/15*j**6 + 0 - 21*j. Suppose c(z) = 0. What is z?
-2, 0, 1
Let n be (-2)/(-24) + 1100/7920. Factor -4/9*u + 0 + n*u**2.
2*u*(u - 2)/9
Let m(z) be the first derivative of 5*z**4/4 - 70*z**3/3 + 125*z**2/2 - 60*z - 22. Let m(f) = 0. Calculate f.
1, 12
Suppose -4 = 4*d, -4 + 15 = 5*v - d. Let t(j) be the second derivative of -5/12*j**4 + 5*j**3 + 3*j - 45/2*j**v + 0. Let t(u) = 0. Calculate u.
3
Let h(z) be the first derivative of 5*z + 8 + 1/10*z**5 - 1/12*z**4 - 1/3*z**3 + 1/2*z**2. Let t(g) be the first derivative of h(g). Find d such that t(d) = 0.
-1, 1/2, 1
Let w(k) = -3*k - 18. Let s be w(-7). Determine a, given that -5 - s + 60*a + 59*a**2 - 89*a**2 + 98*a**2 = 0.
-1, 2/17
Let c(x) = -8*x**4 - 20*x**3 + 46*x**2 + 44*x - 2. Let n(l) = -l**4 + l**3 - l**2 + 2*l - 1. Let a(v) = c(v) - 2*n(v). Suppose a(f) = 0. Calculate f.
-5, -2/3, 0, 2
Let y(a) = -6*a**2 + 6*a + 20. Let c(h) = h**2. Let j(u) = -4*c(u) - y(u). Suppose j(s) = 0. What is s?
-2, 5
Let i be (-11)/110*5*-1. Let i*g**2 - 1/2 + 0*g = 0. Calculate g.
-1, 1
Let y(r) be the first derivative of -r**5/630 - r**4/84 - 2*r**3/63 - 11*r**2/2 - 13. Let c(t) be the second derivative of y(t). Factor c(p).
-2*(p + 1)*(p + 2)/21
Suppose 54 = 11*n + 21. Suppose 0 = -n*y - 20*y + 115. Factor 9/4*v**y - 6*v**2 + 0*v - 21/2*v**4 + 15*v**3 + 0.
3*v**2*(v - 2)**2*(3*v - 2)/4
Suppose 2*i + 2*i - 12 = 0. Suppose -513*a + 1972 = 473*a. Factor 1/4*t**i - t - 3/4*t**a + 0.
t*(t - 4)*(t + 1)/4
Let t(c) be the first derivative of -2*c**5/5 + c**4 + 8*c**3/3 - 8*c**2 - 109. Find h, given that t(h) = 0.
-2, 0, 2
Let b(f) be the second derivative of -f**4/18 - f**3/3 - 3*f + 3. Factor b(y).
-2*y*(y + 3)/3
Let d(z) be the second derivative of -z**4/6 - 88*z**3 - 17424*z**2 - z + 58. Suppose d(t) = 0. Calculate t.
-132
Let 2*w**4 - 8*w - 49*w + 69*w**2 + 36 + 13*w**2 - 26*w**3 + 14*w - 51*w = 0. What is w?
1, 2, 9
What is x in -2*x**4 - 8*x**2 + 12*x**3 + 0*x**4 + 10*x**2 - 24*x**2 + 12*x = 0?
0, 1, 2, 3
Let i = -1/643 + 646/1929. Factor 0 + y - i*y**2.
-y*(y - 3)/3
Let f be -2*(-21)/(-180)*10/(-35). Let t(z) be the first derivative of -4 + 0*z + f*z**2 - 2/45*z**3. Factor t(r).
-2*r*(r - 1)/15
Let r(i) be the second derivative of 23*i**5/4 - 5*i**4/6 + 173*i. Factor r(u).
5*u**2*(23*u - 2)
Factor h**3 - 1592*h - 4*h**3 + 395*h - 147*h**2 + 30*h**2 - 1083.
-3*(h + 1)*(h + 19)**2
Factor 0*k + 0 - 4/5*k**2 - 2/5*k**3 + 2/5*k**4.
2*k**2*(k - 2)*(k + 1)/5
Let w(g) = g**3 - 4*g**2 - 5*g + 12. Let x be w(5). Factor 20*n**2 - 6*n**2 + 2*n - x*n**2 + n**3 - n.
n*(n + 1)**2
Let l(q) be the third derivative of -1/420*q**5 + 1/168*q**4 + 0*q + 0 + 1/21*q**3 + 11*q**2. What is h in l(h) = 0?
-1, 2
Suppose -27*z = -225 + 429 - 231. Let -z - 3/2*o**2 + 1/2*o**4 + 1/2*o**3 - 5/2*o = 0. Calculate o.
-1, 2
Let x(h) = h**2 + 10*h + 27. Let u be x(-5). Determine c so that 5*c**4 + 10*c**3 - 5*c**u + 5*c**5 - 12*c**3 - 3*c**3 = 0.
-1, 0, 1
Suppose -3*t + 9 = -0*t. Factor -5*i**t + 5*i**2 + 417 + 10*i - 417.
-5*i*(i - 2)*(i + 1)
Let p = 15 + -15. Let c = 5 + p. Let m**c - 38 + 38 = 0. What is m?
0
Factor -3/2*t - 6*t**2 + 9 - 3/2*t**3.
-3*(t - 1)*(t + 2)*(t + 3)/2
Let x(i) be the second derivative of -i**8/630 + i**7/42 - 7*i**6/270 + 31*i**3/6 - 6*i. Let t(p) be the second derivative of x(p). Factor t(d).
-4*d**2*(d - 7)*(2*d - 1)/3
Let s(a) be the third derivative of a**8/1176 + a**7/49 + 83*a**6/420 + 209*a**5/210 + 20*a**4/7 + 100*a**3/21 + 5*a**2 - 8. What is i in s(i) = 0?
-5, -2, -1
Factor 34*u**3 + 25*u**3 + 9375*u + 78125 - 82*u**3 + 28*u**3 + 375*u**2.
5*(u + 25)**3
Let d(w) be the first derivative of -w**7/1680 + w**5/240 + w**3 - 8. Let g(j) be the third derivative of d(j). Factor g(x).
-x*(x - 1)*(x + 1)/2
Let g be (1 - 1) + 84/(-1 - -4). Let w be (3 - 80/g)*1. Determine i, given that 5/7*i**2 + w*i**3 - 9/7 + 3/7*i = 0.
-3, 1
Let a(y) = -y**2 - y + 1. Let x = 30 + -27. Let j(o) = 6*o**4 - 21*o**3 + 24*o**2 - 18*o + 6. Let r(z) = x*a(z) - j(z). Factor r(d).
-3*(d - 1)**3*(2*d - 1)
Let k(i) be the third derivative of 1/360*i**6 - i**2 + 0*i + 1/36*i**4 + 0 - 1/60*i**5 + 0*i**3. Factor k(g).
g*(g - 2)*(g - 1)/3
Find b, given that 62*b - 44*b - 90 + 3*b**2 + 3*b = 0.
-10, 3
Let q(s) be the second derivative of 9*s**5/10 - 73*s**4/4 - 158*s**3/3 - 54*s**2 + 98*s. Factor q(g).
(2*g - 27)*(3*g + 2)**2
Let t(m) = -m**2 + 2*m + 3. Suppose -5 = -c + 3*c + z, z + 5 = 5*c. Let y be t(c). Solve -4/5*i**y + 2/5 - 2/5*i**4 + 0*i**2 + 4/5*i = 0.
-1, 1
Let z(v) = 3*v**5 + 25*v**4 - 20*v**3 - 8*v**2 - 17*v. Let a(o) = o**5 + 9*o**4 - 7*o**3 - 3*o**2 - 6*o. Let h(q) = -17*a(q) + 6*z(q). Factor h(u).
u**2*(u - 3)*(u - 1)*(u + 1)
Let p(t) = 4*t - 14. Let g be p(4). Let j(z) = z + z + 4*z**g - z - 5*z**2. Let b(k) = k**2 - k. Let f(x) = 3*b(x) + 4*j(x). Factor f(q).
-q*(q - 1)
Let g(d) = -9*d + 33. Let o be g(3). Factor -42*r**3 + 10*r - 36*r**3 + 