f -2*a**5/55 + 3*a**4/11 - 8*a**3/11 + 8*a**2/11 - 24. Factor r(b).
-2*b*(b - 2)**3/11
Let h = -17 - -53. Let o be (-6)/h - (-158)/84. Suppose 8/7*v**3 - 2/7 + o*v - 18/7*v**2 = 0. What is v?
1/4, 1
Let b = 9 + -10. Let l be 12*(b + 3/2). Factor 5*p + 21*p**2 - 4*p - 21*p**4 - l*p**3 + 5*p.
-3*p*(p - 1)*(p + 1)*(7*p + 2)
Let b(z) be the third derivative of -3*z**5/80 + 7*z**4/8 + 5*z**3/2 - 17*z**2 + 2*z. Factor b(w).
-3*(w - 10)*(3*w + 2)/4
Let m be 1587/165 + (-4)/(-22). Let u = m - 137/15. Factor 0*v + 4/3*v**2 - u*v**3 + 0.
-2*v**2*(v - 2)/3
Let j(z) = -20*z + 3. Let w be j(4). Let q be 14/w + 38/88. Solve 1/2*k**3 + 0 + 1/4*k**4 - q*k**2 - 1/2*k = 0.
-2, -1, 0, 1
Suppose 24 = -4*p + p. Let t be p/(-14)*(-1)/(-2). Factor -2/7*g**3 - 4/7 + t*g + 4/7*g**2.
-2*(g - 2)*(g - 1)*(g + 1)/7
Let s = -9 - -13. Let p(k) = 28*k**4 - 71*k**3 + 56*k**2 - 23*k + 6. Let r(v) = 28*v**4 - 71*v**3 + 57*v**2 - 22*v + 5. Let c(m) = s*r(m) - 3*p(m). Factor c(f).
(f - 1)**2*(4*f - 1)*(7*f - 2)
Let s(o) be the first derivative of 3 + 3/2*o**2 - 1/3*o**3 - 2*o. Factor s(y).
-(y - 2)*(y - 1)
Let y be 10/(-4)*((-28)/(-40))/(-7). Let 0 - 1/4*z + 1/2*z**3 + 0*z**4 - y*z**5 + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let o(t) be the third derivative of -t**5/60 + 5*t**4/24 + 5*t**3/6 - 7*t**2. Let u be (4 - 3)/(1/5). Let z(x) = -x - 1. Let k(p) = u*z(p) + o(p). Factor k(c).
-c**2
Let u(f) = f**2 - 7*f - 6. Let x be u(8). Factor 0*b**x - 4*b**3 + 2*b**3 + 3*b**2 - 5*b**2.
-2*b**2*(b + 1)
Let m be 3 + ((-245)/12)/7. Let t(i) be the second derivative of 1/30*i**6 - 1/84*i**7 + 0*i**2 + i + m*i**3 - 1/12*i**4 + 0*i**5 + 0. Let t(u) = 0. What is u?
-1, 0, 1
Let d(h) = -4*h - 18. Let k be d(-8). Let q be (-6)/(-10)*k/21. Suppose -4/5 + q*c**2 + 2/5*c = 0. Calculate c.
-2, 1
Let y = -1/8 - -7/24. Let n(x) be the first derivative of 1/2*x**2 + y*x**6 + 0*x**5 + 0*x + 0*x**3 + 2 - 1/2*x**4. Factor n(o).
o*(o - 1)**2*(o + 1)**2
Let u be 12/(-54) - 7/9. Let k(b) = b**5 + b**4 + b**2. Let g(q) = 4*q**5 + q**4 - 6*q**3 + q**2 + 3*q. Let n(x) = u*k(x) + g(x). Factor n(h).
3*h*(h - 1)**2*(h + 1)**2
Let m = 482/9 + -160/3. Factor -2/9*k**2 + 0*k + 4/9*k**3 - m*k**4 + 0.
-2*k**2*(k - 1)**2/9
Let v(h) be the first derivative of -h**4/4 - h**3/3 - 22. Factor v(q).
-q**2*(q + 1)
Factor 0 + 5/4*o - 1/4*o**2.
-o*(o - 5)/4
Factor 2*j**3 - 3*j**3 + j + 2*j**3 + 0*j**3 + 2*j**2.
j*(j + 1)**2
Let c(p) = p**3 - 4*p**2 + 2*p - 1. Let i be c(4). Solve -10*q - i*q + 1 - 5 - q - 8*q**2 = 0 for q.
-2, -1/4
Let f be (-4)/(-10) - (-1133)/(-2970). Let h(a) be the third derivative of 0*a**3 + 0*a + 0 - 3*a**2 - 1/270*a**5 - f*a**4. Suppose h(w) = 0. What is w?
-2, 0
Let w(j) be the second derivative of -j**7/945 + j**6/540 + j**5/270 - j**4/108 + 7*j**2/2 - 5*j. Let n(k) be the first derivative of w(k). Factor n(z).
-2*z*(z - 1)**2*(z + 1)/9
Let c be 33*(-4)/(-168) + (-2)/7. Let -1/4*h**2 - 3/4*h - c = 0. What is h?
-2, -1
Let o be 3/(-2) - (4 + 45/(-6)). Determine b so that -4/3*b**o + 0*b + 4/3 = 0.
-1, 1
Let 10*r + 9*r**2 - 4*r + 12*r**2 = 0. Calculate r.
-2/7, 0
Let f(k) be the first derivative of 4*k**5/25 - 2. Find x such that f(x) = 0.
0
Suppose -5*n + 2*n = -51. Suppose -8*j**3 + j + n*j**3 - j + 6*j**2 - 6*j**4 - 9*j**5 = 0. What is j?
-1, -2/3, 0, 1
Suppose -l + 2*l - 2 = 0. Let 0*i**2 + 2*i**3 + i**3 + i**l - 2*i**3 = 0. What is i?
-1, 0
Let a(b) be the second derivative of b**5/100 + 7*b**4/60 + b**3/5 - 13*b. Suppose a(x) = 0. What is x?
-6, -1, 0
Let r(l) be the second derivative of 5*l**7/21 + 31*l**6/15 - 68*l**5/25 + 14*l**4/15 + 28*l. Find f such that r(f) = 0.
-7, 0, 2/5
Suppose -6/5*w**2 + 0 + 4/5*w + 2/5*w**3 = 0. What is w?
0, 1, 2
Let m(i) be the third derivative of -i**6/10 + i**5/15 + i**4/3 - 8*i**2. Factor m(n).
-4*n*(n - 1)*(3*n + 2)
Let v(t) be the second derivative of 5*t**7/42 - 11*t**6/15 + 33*t**5/20 - 5*t**4/3 + 2*t**3/3 + 7*t. Factor v(m).
m*(m - 2)*(m - 1)**2*(5*m - 2)
Let m = -69 - -69. Factor 0*g**2 + 0*g**4 + 1/4*g**5 + 1/4*g + m - 1/2*g**3.
g*(g - 1)**2*(g + 1)**2/4
Let r(p) = 22*p**3 - 38*p**2 - 50*p + 24. Let d(w) = 7*w**3 - 13*w**2 - 17*w + 8. Let m(s) = -14*d(s) + 5*r(s). Solve m(q) = 0.
-1, 2/3, 1
Let c = -18 + 15. Let j be 42/(-24) - (1 + c). Factor -j*k + 0 + 1/4*k**2.
k*(k - 1)/4
Let w(g) be the second derivative of -g**10/120960 - g**9/30240 + g**7/5040 + g**6/2880 + g**4/4 + g. Let l(x) be the third derivative of w(x). Solve l(i) = 0.
-1, 0, 1
Let p be ((-102)/112)/(18/12). Let l = 1/7 - p. Factor -3/4*a**2 - 1/4 + 1/4*a**3 + l*a.
(a - 1)**3/4
Determine t so that 0*t**3 + 0*t + 8/11*t**4 - 2/11*t**2 + 0 = 0.
-1/2, 0, 1/2
Let c(f) be the first derivative of -f**8/252 - f**7/90 - f**6/180 + f**5/180 + f**2 + 3. Let h(n) be the second derivative of c(n). Find k such that h(k) = 0.
-1, 0, 1/4
Let b(z) be the second derivative of z**4/28 - z**3/7 + 3*z**2/14 - 2*z. Factor b(x).
3*(x - 1)**2/7
Let q(i) be the first derivative of 0*i - 9/20*i**4 + 1/5*i**2 + 10 + 7/15*i**3. Factor q(g).
-g*(g - 1)*(9*g + 2)/5
Let m(v) be the second derivative of -5*v**7/42 + v**6/2 - 3*v**5/4 + 5*v**4/12 - 11*v. Find w such that m(w) = 0.
0, 1
Let 1 + p**3 + 8*p + 7 + 4*p - 5*p**3 = 0. What is p?
-1, 2
Let a(k) be the second derivative of -k**6/180 - k**5/40 + k**4/36 + k**3/3 + 2*k**2/3 - 4*k. Determine c so that a(c) = 0.
-2, -1, 2
Let t(c) be the second derivative of -c**8/1120 + 13*c**7/5040 - c**5/240 - c**4/6 + 7*c. Let s(a) be the third derivative of t(a). Factor s(i).
-(i - 1)*(3*i - 1)*(4*i + 1)/2
Let h(w) be the third derivative of -w**5/360 - w**4/36 - w**3/9 - 13*w**2. Factor h(p).
-(p + 2)**2/6
Suppose -2*z - 7 = -3*r, z + 4*z - 5 = 0. Let o(k) be the third derivative of 4*k**2 - 1/60*k**5 + 0*k**r + 0 + 0*k + 1/210*k**7 + 0*k**6 + 0*k**4. Factor o(l).
l**2*(l - 1)*(l + 1)
Suppose 3*g - 18 = g - 2*k, -12 = -4*g + 4*k. Factor g - 5*u**2 + 2*u**2 - 4*u + u.
-3*(u - 1)*(u + 2)
Let g(q) be the third derivative of -q**7/3780 + q**6/1620 + q**5/270 + q**3 - 6*q**2. Let b(z) be the first derivative of g(z). Factor b(s).
-2*s*(s - 2)*(s + 1)/9
Let d be -2 - 1/((-3)/12). What is j in j**2 + 4*j - j**d + 2*j**2 = 0?
-2, 0
Factor 0*o - 2/5*o**3 - 4/5*o**4 + 0*o**2 + 0.
-2*o**3*(2*o + 1)/5
Suppose 4*i - 2*a + 10 = -0*a, 0 = -4*i + 5*a - 25. Let n(q) be the third derivative of 2*q**2 + 3/40*q**5 + i*q + 11/48*q**4 + 1/6*q**3 + 0. Factor n(b).
(b + 1)*(9*b + 2)/2
Let l(f) be the first derivative of -f**6/150 - 9*f + 5. Let x(d) be the first derivative of l(d). Factor x(o).
-o**4/5
Let a(p) be the first derivative of -p**6/21 + 6*p**5/35 - 3*p**4/14 + 2*p**3/21 + 8. Find i such that a(i) = 0.
0, 1
Let l(c) = -c**2 + 15*c - 52. Let a be l(7). Let j(i) be the first derivative of -1/6*i**a + 0*i**2 + 0*i - 2/15*i**5 + 4/9*i**3 + 1. Factor j(p).
-2*p**2*(p - 1)*(p + 2)/3
Let o(j) be the second derivative of -j**5/10 + j**4/2 - 4*j**2 - 62*j. Factor o(t).
-2*(t - 2)**2*(t + 1)
Let i(z) be the third derivative of 1/60*z**4 + 2*z**2 + 1/75*z**5 + 0 - 2/15*z**3 - 1/300*z**6 + 0*z. Factor i(a).
-2*(a - 2)*(a - 1)*(a + 1)/5
Let k(j) be the third derivative of j**6/240 - j**5/30 + 5*j**4/48 - j**3/6 - 2*j**2. Let k(d) = 0. Calculate d.
1, 2
What is s in 3/7*s - 2/7 - 1/7*s**2 = 0?
1, 2
Let g be (32/10 - 4)*-26. Let b = g + -20. Find m such that 2/5*m**2 + 2/5 + b*m = 0.
-1
Let b(q) be the third derivative of q**6/720 - q**5/360 + 17*q**2. Factor b(y).
y**2*(y - 1)/6
Let q(v) = v**2 + v - 1. Let a(p) = -3*p**2 - 2*p + 3. Let x(w) = -w. Let z be x(1). Let k(u) = z*a(u) - 2*q(u). Factor k(o).
(o - 1)*(o + 1)
Let p be -2 + 2 - -2*(-5)/(-225). Let k(n) be the first derivative of 4/9*n**2 + 2/9*n**4 - p*n**5 - 4 - 2/9*n - 4/9*n**3. Factor k(f).
-2*(f - 1)**4/9
Let f(z) be the third derivative of -1/48*z**5 + 3*z**2 - 1/160*z**6 + 0*z**3 - 1/48*z**4 + 0*z + 1/1344*z**8 + 1/840*z**7 + 0. Find d, given that f(d) = 0.
-1, 0, 2
Let p = 1115/404 + -1/101. Let y = p - 5/2. Let -1/4*t**2 + 1/2*t - y = 0. What is t?
1
Let o(k) be the second derivative of k**7/30 + k**6/24 - k**5/30 - k**2 + k. Let v(w) be the first derivative of o(w). Factor v(l).
l**2*(l + 1)*(7*l - 2)
Let o(s) = s**2 - 6*s + 7. Let v be o(5). Suppose -12 = -v*t - t. Suppose 0*p**t + 0*p + 0 - 2/3*p**3 + 2/3*p**5 + 0*p**2 = 0. Calculate p.
-