) = 0 for u.
-1, 1/3, 1
Let n(a) be the second derivative of -2*a**7/105 - 2*a**6/15 - 4*a**5/15 - 5*a**2/2 - 11*a. Let h(t) be the first derivative of n(t). Factor h(r).
-4*r**2*(r + 2)**2
Let z(j) be the second derivative of j**7/147 - j**6/105 - j**5/35 - 8*j + 4. Solve z(b) = 0 for b.
-1, 0, 2
Let x be (24/(-48))/((-3)/(90/3)). Suppose -8/9*c + 1/9*c**x + 5/9*c**4 - 1/9*c**2 + 7/9*c**3 - 4/9 = 0. What is c?
-2, -1, 1
Let q(h) be the first derivative of 5*h**4/12 + 5*h**3 + 45*h**2/2 + 15*h + 26. Let b(i) be the first derivative of q(i). Factor b(y).
5*(y + 3)**2
Let u(t) = 2*t + 22 - 5*t - t + 3*t. Let q be u(18). Factor -2*m**3 - q*m**4 + m**2 + 5*m**4 + 0*m**3.
m**2*(m - 1)**2
Let k = 259 + -256. Let y be (-14)/(-4) + (-2)/(-4). Solve 3*r**3 + 6*r**4 - 2*r - r - k*r**y - 3*r**2 = 0.
-1, 0, 1
Let z(h) be the first derivative of 169*h**5/210 + 13*h**4/21 + 4*h**3/21 - 27*h**2/2 + 24. Let i(f) be the second derivative of z(f). Factor i(r).
2*(13*r + 2)**2/7
Let a(n) = -n + 1. Let r(g) = -3*g**5 - 2*g**4 + 9*g**3 + 12*g**2 + 9*g - 5. Let x(w) = -5*a(w) - r(w). What is d in x(d) = 0?
-1, -2/3, 0, 2
Let v(q) be the second derivative of 0 + 1/84*q**7 - 1/2*q**2 - 1/30*q**6 + 1/12*q**3 + 10*q - 1/20*q**5 + 1/6*q**4. Solve v(k) = 0.
-1, 1, 2
Let i = 791 + -791. Let g(r) be the second derivative of -4/15*r**6 + 2/3*r**4 + 0*r**2 + 8*r - 2/3*r**3 + 2/21*r**7 + i + 0*r**5. Determine q so that g(q) = 0.
-1, 0, 1
Factor -51*u**2 + 4*u**4 + 15*u**3 + 8*u + u**3 - 51*u**2 + 122*u**2.
4*u*(u + 1)**2*(u + 2)
Let l(t) be the second derivative of -t**7/840 + t**6/360 + t**5/60 + 5*t**3/3 - 6*t. Let k(m) be the second derivative of l(m). Determine w so that k(w) = 0.
-1, 0, 2
Let y be (-10)/(-6)*-6*(-4)/8. Let r(q) be the second derivative of 1/70*q**5 - 1/105*q**6 + 1/42*q**4 - 1/21*q**3 - y*q + 0*q**2 + 0. Factor r(d).
-2*d*(d - 1)**2*(d + 1)/7
Factor 3/2*v**5 - 36*v**2 + 33*v**3 + 27/2*v - 12*v**4 + 0.
3*v*(v - 3)**2*(v - 1)**2/2
Let p(b) = b**2 - 11*b + 12. Let j be p(10). Let c be (-4 + 6)/(j/3). Factor -5*h**c + 8*h**3 + 4*h**5 - 7*h**3.
4*h**3*(h - 1)*(h + 1)
What is k in -4*k**4 - 5*k**2 - 43*k**2 + 24*k**3 - 1 + 40*k - 12 + 1 = 0?
1, 3
Let i = -10 - -14. Factor 15*r**2 - i*r**3 - 11*r**2 + 12*r + 4*r**2.
-4*r*(r - 3)*(r + 1)
Let w(n) be the first derivative of n - 1/2*n**4 + 1/6*n**6 + 1/5*n**5 + 1/2*n**2 - 2/3*n**3 - 10. Factor w(u).
(u - 1)**2*(u + 1)**3
Let c(j) = -2*j**2 + 29*j + 22. Let q be c(15). Factor -4*z - q - 2*z**2 - 3*z - 1 + 17*z.
-2*(z - 4)*(z - 1)
Let l(m) = 13*m**2 - 5*m + 4. Let w(n) = -3*n**2 + n - 1. Let t(y) = 2*l(y) + 9*w(y). Let v(g) = g**3 - 3*g**2 - g - 1. Let h(b) = t(b) - v(b). Factor h(k).
-k**2*(k - 2)
Let t = -4 + 4. Let q be 1 - (-5)/3*8/(-20). Factor t + 2/3*p - q*p**2.
-p*(p - 2)/3
Let v(o) be the third derivative of o**5/30 + 2*o**4/3 + 7*o**3/3 + 181*o**2. Factor v(u).
2*(u + 1)*(u + 7)
Let w(b) = 4*b**3 + 5*b**2 - 17*b + 8. Let s = -106 - -101. Let f(p) = p**2 - p. Let y(r) = s*f(r) + w(r). Solve y(x) = 0 for x.
-2, 1
Factor 115766 + 7723*m + 798*m + 375*m**2 + 854*m + 5*m**3 - 37641.
5*(m + 25)**3
Let z be -2*(-348)/(-96) + 11. Factor 9/2*x + z + 3/4*x**2.
3*(x + 1)*(x + 5)/4
Let r(w) be the first derivative of -3*w**4 - 38*w**3/3 - 15*w**2 - 4*w + 9. Factor r(i).
-2*(i + 1)*(i + 2)*(6*i + 1)
Let f(r) be the first derivative of r**8/112 - 3*r**7/70 + 3*r**6/40 - r**5/20 - 14*r**2 - 14. Let n(a) be the second derivative of f(a). Factor n(l).
3*l**2*(l - 1)**3
Let x(l) be the second derivative of -l**8/84 - 2*l**7/35 + l**6/30 + l**5/5 - 9*l**2/2 + 7*l. Let f(n) be the first derivative of x(n). What is q in f(q) = 0?
-3, -1, 0, 1
Let u(s) = 180*s**4 + 40*s**3 - 171*s**2 - 40*s + 9. Let r(b) = 10*b**3 - 95*b - 83*b + 45*b**4 + 168*b - 43*b**2 + 2. Let a(h) = -9*r(h) + 2*u(h). Factor a(m).
-5*m*(m - 1)*(m + 1)*(9*m + 2)
Let f(w) = 15*w**2 - 18*w - 27. Let x(d) be the third derivative of -d**5/60 + 27*d**2. Let r = -1 + 0. Let o(l) = r*f(l) - 18*x(l). Factor o(p).
3*(p + 3)**2
Let f be 2/(-24) + 15*(-6)/(-360). Factor 0 - 1/6*o**2 - f*o.
-o*(o + 1)/6
Let w(z) = -4*z**4 + 30*z**3 + 30*z**2. Let c(v) = -8*v**4 + 61*v**3 + 59*v**2. Let q(d) = 2*c(d) - 5*w(d). Suppose q(b) = 0. Calculate b.
-1, 0, 8
Let v(f) = 8*f**5 - 56*f**4 + 244*f**3 - 288*f**2 + 4*f. Let p(u) = -7*u**5 + 56*u**4 - 243*u**3 + 288*u**2 - 3*u. Let j(t) = -4*p(t) - 3*v(t). Factor j(m).
4*m**2*(m - 6)**2*(m - 2)
Let f = -1245 + 1248. Factor 0*a + 3/5*a**5 + 0 - 6/5*a**f + 3/5*a**4 + 0*a**2.
3*a**3*(a - 1)*(a + 2)/5
Solve -9*y**3 - 65*y**2 - 169/3*y + 0 - 1/3*y**4 = 0.
-13, -1, 0
Let k be (-9)/(-5) - 2 - 242/(-660). Let v(t) be the first derivative of 2 + t**2 + 2/3*t**3 + k*t**4 + 2/3*t. What is r in v(r) = 0?
-1
Let d = -4571/3 - -1525. Suppose 4/9 + 4/3*m**3 - d*m - 20/9*m**2 + 16/9*m**4 = 0. Calculate m.
-1, 1/4, 1
Let v(q) be the first derivative of 2*q**3/9 - 11*q**2/3 - 80. Determine z so that v(z) = 0.
0, 11
Let t = 865/21 - 115/3. Determine l so that -t*l + 0 - 4/7*l**4 + 20/7*l**3 + 4/7*l**2 = 0.
-1, 0, 1, 5
Let s(j) = 4*j - 28. Let v be s(-6). Let k be (-2)/(-9) - (v/(-72) - 1). Factor 1/2*u**2 - 1/2 - k*u**3 + 1/2*u.
-(u - 1)**2*(u + 1)/2
Let s(x) be the first derivative of 3 + 21/2*x**2 - 2*x - 19/3*x**3. Solve s(t) = 0 for t.
2/19, 1
Suppose -98*m - 2 = -99*m - 2*c, 3*m - c = -1. Factor -1/4*z**5 + 0*z - 5/4*z**3 + m + z**4 + 1/2*z**2.
-z**2*(z - 2)*(z - 1)**2/4
Let f(s) be the second derivative of 1/40*s**6 + 0 + 5/48*s**4 + 0*s**2 + 21*s - 7/80*s**5 - 1/24*s**3. Determine b, given that f(b) = 0.
0, 1/3, 1
Let c(o) = -o - 16. Let q be c(-4). Let k be (-27)/q + -2 + (-11)/(-20). Find h, given that 2/5*h**2 + 2/5 + k*h = 0.
-1
Let w(g) be the second derivative of 4*g**7/21 - 2*g**6/3 - 3*g**5/5 + 11*g - 4. Let w(u) = 0. Calculate u.
-1/2, 0, 3
Let r = 32/235 + 50/47. Find c such that 1/5*c**4 - 7/5*c**3 + 1/5*c**5 - 1/5*c**2 + r*c + 0 = 0.
-3, -1, 0, 1, 2
Let k = -14 + 16. Solve -o**k + 85 + 21*o**2 + 7*o**2 - 81*o - 3*o**3 - 4 = 0 for o.
3
Let x(c) be the second derivative of -c**4/24 + 9*c**3/4 + 164*c. Determine o so that x(o) = 0.
0, 27
Let o(w) = -326*w**3 + 1532*w**2 + 2275*w + 750. Let r(p) = -p**3 + 2*p**2. Let j(z) = -o(z) + 6*r(z). Solve j(c) = 0 for c.
-5/8, 6
Let m(z) be the first derivative of -z**5/20 - 39*z**4/16 - 169*z**3/4 - 2197*z**2/8 + 73. Let m(v) = 0. Calculate v.
-13, 0
Find t such that 1/6*t**3 - 529/6 + 15/2*t**2 + 161/2*t = 0.
-23, 1
Let f be ((-10)/(-5) - 1)/1 + -1. Let j(m) be the first derivative of -2 + 1/9*m**3 + 1/5*m**5 + 1/18*m**6 + f*m + 1/4*m**4 + 0*m**2. Factor j(t).
t**2*(t + 1)**3/3
Let f(v) be the third derivative of -v**7/1470 + v**6/168 - v**5/70 - 164*v**2. Factor f(a).
-a**2*(a - 3)*(a - 2)/7
Let z = 129 - 125. Suppose 2*k = 5*p + 25, z*p + 0 + 20 = 4*k. Solve -4/5*t**3 + 2/5*t**5 + k*t**4 + 0*t**2 + 0 + 2/5*t = 0.
-1, 0, 1
Let q(x) be the first derivative of -2*x**3/27 + 4*x**2/3 + 26*x/9 + 21. Determine n so that q(n) = 0.
-1, 13
Let r(i) = -i**2 + 9*i - 10. Let c = 7 + 0. Let y be r(c). Suppose 12*w**y + 12*w**5 + 8*w**4 + 6*w**3 - 2*w**3 - 4*w**2 = 0. What is w?
-1, 0, 1/3
Let l(p) be the third derivative of p**5/120 + 17*p**4/48 + 11*p**3/2 + 11*p**2. Determine u so that l(u) = 0.
-11, -6
Find h such that -2/5*h**4 + 174/5*h**2 + 12 + 178/5*h + 54/5*h**3 = 0.
-1, 30
Factor 0 + 3/7*z**3 - 4*z**2 - 20/7*z.
z*(z - 10)*(3*z + 2)/7
Let i be -20*((-175)/5000 + 1/(-8)). Factor -4/5*d - 4/5*d**5 + i*d**4 - 24/5*d**3 + 16/5*d**2 + 0.
-4*d*(d - 1)**4/5
Suppose 4*r - 4*y = -5*y + 4, 3*r + 2*y = -2. Suppose 4 = -0*m + r*m. What is o in 2 - o**m + 5 - 5 + o = 0?
-1, 2
Let p(y) be the third derivative of -y**8/1176 - y**7/245 + y**6/420 + y**5/30 - 4*y**3/21 - 3*y**2 + 32. Solve p(o) = 0.
-2, -1, 1
Let y(h) be the third derivative of -h**5/10 - 69*h**4/8 - 17*h**3 - h**2 - 12. Factor y(m).
-3*(m + 34)*(2*m + 1)
Let v(j) be the first derivative of 22/21*j**3 + 6/7*j + 10/7*j**2 + 8 + 2/7*j**4. Factor v(i).
2*(i + 1)**2*(4*i + 3)/7
Let p(d) = 4*d**2 + 230*d + 338. Let z be p(-56). Factor 12/7*k**z + 4/7*k**4 + 20/7*k**3 - 20/7*k - 16/7.
4*(k - 1)*(k + 1)**2*(k + 4)/7
What is n in -141*n + 3*n + 644*n**2 + 12 + 0 - 196*n**3 - 34*n = 0?
1/7, 3
Let c(k) = -26*k**3 - 17*k**2 + 95*k - 19. Let a(o) = -28*o**3 