be the third derivative of v(f). Factor q(c).
c*(c + 1)**2/6
Let k(b) be the second derivative of b**8/840 - b**7/140 + b**5/15 + 5*b**3/6 - 4*b. Let o(l) be the second derivative of k(l). Factor o(q).
2*q*(q - 2)**2*(q + 1)
Let n(z) = -z + 3. Let o be n(0). Let w be o + -1*(0 - -1). Determine a so that -3 + 2*a**2 - 3*a**w - a**2 + a**4 + 4 = 0.
-1, 1
Let j(u) = 5 + 14 - 19 - 10*u + 6*u**2. Suppose -l - 10 = l. Let p(t) = -7*t**2 + 11*t + 1. Let z(x) = l*j(x) - 4*p(x). Find q, given that z(q) = 0.
1, 2
Suppose -8*j + 4*j = 4. Let t = -1 - j. Let -2/5*n + t + n**2 - 3/5*n**3 = 0. Calculate n.
0, 2/3, 1
Suppose -4*z + 12 = -5*w, z + 3*z - 4*w - 12 = 0. Factor 3*m**3 + z*m**2 - 2*m**2 + 2*m**2.
3*m**2*(m + 1)
Let f = -322 + 967/3. Factor 0 + f*j + 1/3*j**5 - 4/3*j**4 + 2*j**3 - 4/3*j**2.
j*(j - 1)**4/3
Let b = -76 - -230/3. What is v in 0 - 2/3*v + b*v**2 = 0?
0, 1
Let h(u) = -u**2 + 1 + 4 - u - 3. Let x be h(-2). Factor x + 0*n - 2/9*n**3 - 4/9*n**2.
-2*n**2*(n + 2)/9
Let q = 263 - 779/3. Suppose -q*x + 4/3 + 2*x**2 = 0. Calculate x.
2/3, 1
Let b be 1 + -1 + 26/6. Let z = b - 3. Determine k, given that 2/3*k**5 - 4/3*k**3 + z*k**2 + 2/3*k - 2/3*k**4 - 2/3 = 0.
-1, 1
Let q(u) be the first derivative of -u**4/32 + u**3/24 + u**2/8 + 6. Factor q(r).
-r*(r - 2)*(r + 1)/8
Let n = 32 + -18. What is q in q**4 + 6*q**4 + 5*q**4 - n*q**4 = 0?
0
Suppose -3 = 3*a - 9. What is g in -3*g**2 + 1 + g**2 + g**a = 0?
-1, 1
Find a such that 2/13*a**5 - 4/13*a**4 + 6/13*a + 0 - 8/13*a**3 + 4/13*a**2 = 0.
-1, 0, 1, 3
Let b(r) be the third derivative of -r**5/15 + 4*r**4/3 - 32*r**3/3 + 7*r**2. Let b(p) = 0. What is p?
4
Let q(b) be the second derivative of 1/21*b**7 - 1/10*b**5 + 0*b**6 + 0 + b + 0*b**2 + 0*b**4 + 0*b**3. Determine g so that q(g) = 0.
-1, 0, 1
Let m be 14/(-98) + 1/7. Find l, given that 8/7*l**2 + 0 + 40/7*l**3 + 50/7*l**4 + m*l = 0.
-2/5, 0
Let r(t) be the third derivative of t**6/210 + t**5/105 - t**4/21 + 20*t**2. Suppose r(i) = 0. What is i?
-2, 0, 1
Let o be (4/6)/((-30)/(-45)). Let r(p) be the first derivative of -o - 2/3*p**3 - 1/3*p**2 + 0*p - 2/15*p**5 - 1/2*p**4. Find t such that r(t) = 0.
-1, 0
Factor -74/11*r**3 + 144/11*r**2 - 4/11 - 6*r.
-2*(r - 1)**2*(37*r + 2)/11
Let q be -1 - -7*(1 - -1). Suppose 0 = -4*p + 5*x - q, 0 = x + 3*x - 20. Determine z so that 3*z**4 + 2*z**2 + z**3 - z**4 + p*z**3 = 0.
-1, 0
Let y(f) be the third derivative of f**7/105 - f**6/30 + f**4/6 - f**3/3 + 4*f**2. Determine m, given that y(m) = 0.
-1, 1
Let o(f) be the second derivative of -f**6/165 + 2*f**5/55 - 8*f. Factor o(a).
-2*a**3*(a - 4)/11
Let b(o) = -o**3 - 7*o**2 - 7*o - 9. Let j be b(-6). Let q(z) = -z. Let a be q(j). Suppose -6*p**3 - 3*p**2 + 2*p + p**3 - p**a + p**3 = 0. Calculate p.
-1, 0, 2/5
Find g, given that -3*g**3 + g**3 - 2*g - 2*g**2 + 5*g**2 + g**3 = 0.
0, 1, 2
Let f = -12 + 15. Let l be (-3)/14*(-4)/f. Find t, given that 0*t**2 - 2/7*t**3 + 0 + l*t = 0.
-1, 0, 1
Let x be (0 + -6)*10/(-206 + -4). Factor 0 - 2/7*d**2 + x*d.
-2*d*(d - 1)/7
Determine v, given that 34*v**3 + 32*v**4 - 9*v + 2*v**5 - 16*v**5 - 124*v**2 + 97*v - 16 = 0.
-2, 2/7, 1, 2
Suppose -s - 110 = 4*s. Let x be (-1)/(-3) + s/(-42). Find o, given that -8/7*o**2 + 0 - x*o**3 + 8/7*o = 0.
-2, 0, 2/3
Let h(q) be the third derivative of 0*q + 1/42*q**5 + 0 + q**2 - 1/84*q**4 - 1/147*q**7 + 0*q**3 - 1/140*q**6 + 1/294*q**8. Find c, given that h(c) = 0.
-1, 0, 1/4, 1
Let b be 1404/(-22) - (-12)/(-66). Let y be b/(-110) - 2/11. Solve -2/5*u - y*u**4 + 0 - 6/5*u**3 - 6/5*u**2 = 0.
-1, 0
Let a = 125/468 + -2/117. Suppose 0 = x + 5*i - 20, 8 = -5*x - i + 12. Factor a*p**3 - 3/4*p**2 + x + 1/2*p.
p*(p - 2)*(p - 1)/4
Solve 1/5*h**2 + 1/5*h**3 - 1/5*h - 1/5*h**4 + 0 = 0.
-1, 0, 1
Determine g, given that -64 + 79*g**2 + 28*g**3 - 373*g**5 + 13*g**2 - 28*g**4 - 32*g + 377*g**5 = 0.
-1, 1, 4
Factor -4/7*t**2 + 4/7*t + 8/7.
-4*(t - 2)*(t + 1)/7
Let w = 3 - 1. Suppose 2*s - 7*s = -2*m - 7, -m - w = -2*s. Let 6*l - 4*l**2 + 2*l**s + 0*l**3 - 2*l**2 - 2 = 0. Calculate l.
1
Let b(t) be the second derivative of 1/12*t**4 + t - 1/20*t**5 + 0 + 0*t**2 + 0*t**3. Factor b(f).
-f**2*(f - 1)
Solve -2/7*i + 2/7*i**2 + 0 = 0.
0, 1
Let v(l) be the first derivative of 2*l**3/9 - l**2/2 - 2*l/3 - 8. Solve v(o) = 0 for o.
-1/2, 2
Suppose 5*z + 4*r = 30, 0 = z - r - 5 - 1. Let h = z - 3. Suppose 22*i**5 + 34*i**4 + 2*i**h + 6*i**5 + 5*i**3 - 5*i**3 - 4*i**2 = 0. Calculate i.
-1, -1/2, 0, 2/7
Let b(t) be the third derivative of -t**7/70 + t**6/20 + t**5/20 - t**4/4 + 8*t**2. Suppose b(y) = 0. Calculate y.
-1, 0, 1, 2
Let n be (6/(-14))/((-2)/(28/10)). Factor 0 - 6/5*s**3 + 0*s**2 + 3/5*s**5 + n*s + 0*s**4.
3*s*(s - 1)**2*(s + 1)**2/5
Suppose 2*l + o = 15, -4*l = -9*l - 4*o + 45. Let b(m) be the first derivative of 0*m**4 + 0*m + 2 + 2/3*m**2 - 2/15*m**l + 2/3*m**3. Factor b(z).
-2*z*(z - 2)*(z + 1)**2/3
Suppose f - 10 = 3*f. Let q(l) = -l**3 - l**2 - l. Let d(y) = y**4 - 9*y**3 - 7*y. Let o be (-2 + (-18)/(-8))*4. Let a(n) = f*q(n) + o*d(n). Factor a(w).
w*(w - 2)*(w - 1)**2
Let a(v) be the first derivative of 2 + 2*v + 1/150*v**6 + 0*v**3 + 0*v**4 + 0*v**2 - 1/100*v**5. Let u(l) be the first derivative of a(l). Factor u(f).
f**3*(f - 1)/5
Let w(l) = l - 8. Let n be w(-6). Let a be (-6)/21*n/6. Factor -2/3*q + a*q**3 + 0 + 0*q**2.
2*q*(q - 1)*(q + 1)/3
Let u be 11 + (-4)/2 + 1. Let o = u + -6. What is q in -o - 2*q + 2*q**2 + 2*q + 2*q = 0?
-2, 1
Let d = -996 + 104581/105. Let n(v) be the third derivative of 1/672*v**8 - 1/30*v**5 + 0*v + 0*v**3 - 2*v**2 + 1/48*v**4 + 0 + 1/40*v**6 - d*v**7. Factor n(p).
p*(p - 1)**4/2
Suppose 50 + 34 = -6*t. Let i be 1 + 2 - (t + 15). Find m, given that -4*m**i - 16/3 + 8*m + 2/3*m**3 = 0.
2
Let i(f) = 6*f**2 - f + 2. Let o be i(1). Let y be 4/o - 37/(-21). Factor 3*n**2 + 5/3*n**3 + 2/3 + y*n + 1/3*n**4.
(n + 1)**3*(n + 2)/3
Let d = -15/4 - -17/4. Let p(l) be the first derivative of 1/6*l**6 + 1/5*l**5 - 1/2*l**4 - 2 + d*l**2 + l - 2/3*l**3. Find o such that p(o) = 0.
-1, 1
Suppose 0 = f - 0 - 3. Let c(d) be the third derivative of 0*d**3 - 1/180*d**5 + 1/72*d**4 + 0 + 0*d - f*d**2. What is v in c(v) = 0?
0, 1
Suppose 0 = -0*o - 3*o + 84. Let b = o + -25. Let -22/7*t**2 - 12/7*t**b + 8/7 + 8/7*t + 18/7*t**4 = 0. What is t?
-2/3, 1
Let c(v) be the third derivative of v**6/90 + 2*v**5/45 - v**4/18 - 4*v**3/9 - 9*v**2. What is j in c(j) = 0?
-2, -1, 1
Let o be ((-4)/2)/((-8)/12). Factor 9/2*z**2 + 27/2 - 27/2*z - 1/2*z**o.
-(z - 3)**3/2
Let i(g) = g**2 + 7*g + 11. Let r be i(-6). Determine z so that -2/7*z**r + 4/7*z**2 + 2/7*z + 0*z**3 + 0 - 4/7*z**4 = 0.
-1, 0, 1
Let g = 696 + -4862/7. Find n, given that -4/7 + g*n**2 + 6/7*n = 0.
-1, 2/5
Suppose -4*w = -5*w + 2. Factor -1 - 1 - 6*u + 6 + w*u**2.
2*(u - 2)*(u - 1)
Let u = -13 + 22. Let j = 12 - u. Let -4*a**3 + 2*a**3 + 2*a**4 + 4*a**j - a**2 - 3*a**4 = 0. Calculate a.
0, 1
Let b(t) = -5*t**3 - 5*t**2 - 17*t + 13. Let k(a) = 3*a**3 + 3*a**2 + 9*a - 7. Let m(v) = -4*b(v) - 7*k(v). Let m(h) = 0. What is h?
-3, 1
Let s(k) = -k**2 - 5*k + 2. Let l be s(-5). Let l*p**3 + 3*p + 7*p**2 - p - 3*p**2 = 0. What is p?
-1, 0
Factor 0 - 2/9*j**4 + 0*j + 2/3*j**3 + 8/9*j**2.
-2*j**2*(j - 4)*(j + 1)/9
Suppose 2*y + 3*b - 26 = 0, -2*b + 34 = 2*y + 12. Suppose y = c - 1. Factor -r**3 + c*r**5 + 2*r**2 + 2*r + 0*r**5 - 8*r**4 + 2*r**2 - 5*r**3.
2*r*(r - 1)**2*(2*r + 1)**2
Let h(z) be the second derivative of -z**5/130 - 14*z. Factor h(a).
-2*a**3/13
Let l(r) be the third derivative of r**7/840 - r**6/480 - r**5/240 + r**4/96 + 4*r**2. Let l(u) = 0. What is u?
-1, 0, 1
Let i(b) be the third derivative of b**6/96 - b**5/80 - b**4/48 + 2*b**2. Factor i(w).
w*(w - 1)*(5*w + 2)/4
Let f = 77 + 119. Let v = f + -1370/7. Factor 2/7*k**2 - 2/7*k**3 + 2/7*k - v.
-2*(k - 1)**2*(k + 1)/7
Let g be ((-4)/(-12))/(1/18). Let r(k) = 8*k**2 + 2*k + 2. Let z = -4 + 3. Let a(o) = o**2 + o. Let u(b) = g*a(b) + z*r(b). Factor u(f).
-2*(f - 1)**2
Let p(r) = -r**2 + r. Let o be p(1). Let y(z) be the first derivative of 2 + 1/6*z**2 + o*z - 1/9*z**3. Factor y(c).
-c*(c - 1)/3
Let z(h) = -h. Let a(q) = 5*q**2 - 8*q. Let c(b) = -a(b) + 3*z(b). Let r(u) = -51*u**2 + 51*u. Let x(k) = 21*c(k) - 2*r(k). Let x(m) = 0. Calculate m.
0, 1
Let z(j) = -j**3 + 7*j**2 + 18