 - 2*z**2. Factor h(l).
-2*(l - 1)*(l + 3)
Let o = -1883/5 - -377. Let v(q) be the first derivative of 1/2*q**2 - 7 + o*q - 7/15*q**3. Find d such that v(d) = 0.
-2/7, 1
Factor 5*c**2 - 212 + 3845 + 4878 - 360*c - 2031.
5*(c - 36)**2
Let v(o) be the second derivative of 0*o**2 + 2*o - 1/8*o**4 + 1/40*o**5 + 0 + 0*o**3. Factor v(k).
k**2*(k - 3)/2
Let j(t) be the third derivative of -t**8/24192 + t**7/1512 + 5*t**6/864 + 3*t**5/20 + 12*t**2. Let r(y) be the third derivative of j(y). Factor r(x).
-5*(x - 5)*(x + 1)/6
Let g(j) be the third derivative of j**6/840 - 11*j**5/420 - 13*j**4/84 - 18*j**2 + 3*j. Suppose g(t) = 0. What is t?
-2, 0, 13
Let s = 264 - 93. Factor 171 - 2*n + 3*n - s + n**2.
n*(n + 1)
Let q(d) be the second derivative of 34*d + 11/24*d**3 + 1/16*d**4 + 3/4*d**2 + 0. Factor q(p).
(p + 3)*(3*p + 2)/4
Let n be ((-6)/(-9))/((-1)/6) + (-630)/(-70). Suppose -10/11*z**n + 0 - 24/11*z**4 - 4/11*z**2 - 18/11*z**3 + 0*z = 0. Calculate z.
-1, -2/5, 0
Let u(q) = -q**2 + 12*q - 8. Let s(p) = -p - 1. Let c(l) = -24*s(l) + 3*u(l). Factor c(v).
-3*v*(v - 20)
Let b(f) be the first derivative of 4/7*f**3 - 43 - 6/7*f**2 + 4/7*f - 1/7*f**4. Let b(k) = 0. What is k?
1
Let u(p) be the third derivative of p**6/480 + 2*p**5/15 - 11*p**4/32 - 215*p**2 - p. What is r in u(r) = 0?
-33, 0, 1
Factor 1/3*a**3 + 196/3*a + 0 + 28/3*a**2.
a*(a + 14)**2/3
Let a(c) be the second derivative of c**5/60 - c**3/6 - c**2/3 + c + 137. Factor a(q).
(q - 2)*(q + 1)**2/3
Let w(u) be the first derivative of 5*u**6/6 + 8*u**5 + 125*u**4/4 + 190*u**3/3 + 70*u**2 + 40*u - 435. Suppose w(c) = 0. Calculate c.
-2, -1
Let n(j) = j**3 - 25*j**2 - 172*j + 198. Let u(m) = m**3 + m**2 - 2*m + 1. Let b(p) = -n(p) + 2*u(p). Factor b(z).
(z - 1)*(z + 14)**2
Let o(b) = 50*b + 453. Let u be o(-9). Determine z, given that -8/3*z**u - 8/3 + 8/3*z + 14/3*z**2 - 2*z**4 = 0.
-2, -1, 2/3, 1
Let r(d) be the second derivative of d**4/4 + 29*d**3 + 2523*d**2/2 - 11*d. Factor r(g).
3*(g + 29)**2
Let n(v) be the third derivative of v**5/510 - 2*v**4/51 + 5*v**3/17 - 2*v**2 + 37. Factor n(t).
2*(t - 5)*(t - 3)/17
Let j(v) = 5*v**2 - 2*v - 3. Let n(b) be the first derivative of 4*b**3 - 3*b**2/2 - 5*b + 2. Let f(z) = -5*j(z) + 2*n(z). Find h such that f(h) = 0.
-1, 5
Let q be 6/4*29/870. Let z(i) be the third derivative of 1/210*i**7 + q*i**5 - 1/40*i**6 + 0*i + 0*i**3 + 0 - 1/24*i**4 + 3*i**2. Find p such that z(p) = 0.
0, 1
Suppose 5*l - 30 = 11*c, 21*l + 6 = -4*c + 22*l. Factor 2/9*r**4 + 2/9*r - 2/9*r**3 - 2/9*r**2 + c.
2*r*(r - 1)**2*(r + 1)/9
Let x(n) be the second derivative of 0 - 4/441*n**7 + 1/315*n**6 + 2/105*n**5 + 0*n**2 - 14*n - 1/126*n**4 + 0*n**3. Find v such that x(v) = 0.
-1, 0, 1/4, 1
Let l(y) be the second derivative of 7*y**4/48 - 5*y**3/4 + y**2 - 5*y - 9. Determine i so that l(i) = 0.
2/7, 4
Let d(q) = 2*q**2 - q**2 - 8 + 11*q - 6 + 7. Let u be d(-12). Factor j**2 + 5*j + 3*j - u*j.
j*(j + 3)
Let f(n) = 15*n**5 + 25*n**4 + 20*n**3 - 5*n**2 + 5*n. Let r(l) = 7*l**5 + 13*l**4 + 10*l**3 - 2*l**2 + 2*l. Let m(o) = -2*f(o) + 5*r(o). Solve m(s) = 0.
-2, -1, 0
Let f(b) = b**2 - 2*b + 1. Let k(n) = 2*n**3 + 20*n**2 + 8. Let h(t) = -8*f(t) + k(t). Factor h(i).
2*i*(i + 2)*(i + 4)
Suppose 1/8*j**2 - 3 - 23/8*j = 0. What is j?
-1, 24
Let d(n) be the first derivative of -1/11*n**2 + 4/11*n + 3 - 2/33*n**3. Find z, given that d(z) = 0.
-2, 1
Let h = -1137 + 10237/9. Suppose 4/9*a**4 + 0 - h*a**2 - 10/9*a**3 + 10/9*a**5 + 0*a = 0. What is a?
-1, -2/5, 0, 1
Let d = 195 - 189. Let v(y) be the second derivative of 1/105*y**d + 0*y**3 - 2*y - 1/35*y**5 + 0*y**2 + 1/42*y**4 + 0. Solve v(m) = 0 for m.
0, 1
Suppose 4*c - 8 = 0, -w = 6*c - 4*c - 4. Let r(n) be the third derivative of -1/108*n**4 + 3*n**2 + 0*n**3 - 1/540*n**6 - 1/135*n**5 + 0 + w*n. Factor r(p).
-2*p*(p + 1)**2/9
Let o(s) be the first derivative of -1/45*s**6 - 2 + 8/75*s**5 - 1/15*s**2 + 8/45*s**3 + 0*s - 1/5*s**4. Factor o(h).
-2*h*(h - 1)**4/15
Let p(i) = 28*i + 2. Let o be p(-2). Let u be (-45)/o*6/40. Find r such that 1/8*r**2 + 0*r + 0 - u*r**3 = 0.
0, 1
Factor 1026*a**2 - 510*a**3 - 489 + 81*a - 1661 + 611 - 3*a**5 + 81*a**4.
-3*(a - 19)*(a - 3)**3*(a + 1)
Let s(g) be the second derivative of 0*g**2 - 12*g - 1/6*g**4 + 1/10*g**5 + 0 + 0*g**3. Factor s(t).
2*t**2*(t - 1)
Let n be 16/76 + (-6307)/(-2261). Let -8/3*r + 5*r**2 - 4/3*r**n - 1 = 0. Calculate r.
-1/4, 1, 3
Factor 32/3 - 12*q + 4/3*q**2.
4*(q - 8)*(q - 1)/3
Let n(b) be the third derivative of 0 + 1/15*b**3 + 0*b**4 - 1/150*b**5 + 0*b + 2*b**2. Solve n(q) = 0 for q.
-1, 1
Let p(v) be the second derivative of 7*v**6/120 - 19*v**5/80 - v**4/8 + 7*v**3/6 + v**2 - 301*v. Factor p(s).
(s - 2)**2*(s + 1)*(7*s + 2)/4
Suppose -57 = 100*y - 56*y - 63*y. Let 0 - y*d - 3/4*d**2 = 0. Calculate d.
-4, 0
Let s(i) = i**3 - 10*i**2 + i - 9. Let y be s(10). Suppose -3*j = -9 - 0. Solve 0*v + 3*v**j + y + 2 + 3 - 9*v = 0.
-2, 1
Let f(c) be the third derivative of -c**8/6720 + 3*c**5/20 + 3*c**2. Let a(s) be the third derivative of f(s). Determine g so that a(g) = 0.
0
Let n = 2 - 2. Suppose 2*r + 3*x + 1 = 17, 0 = -3*r - x + 10. Factor n + 3*a**r + 3 - 4 - 2.
3*(a - 1)*(a + 1)
Let i(k) be the first derivative of 3*k**4/14 - 4*k**3 + 15*k**2 - 132*k/7 - 97. Factor i(l).
6*(l - 11)*(l - 2)*(l - 1)/7
Let t be (7 - 1064/35)*(-13)/39. Factor 0 - 18/5*m - 18/5*m**3 - t*m**2.
-3*m*(2*m + 3)*(3*m + 2)/5
Let g(t) be the second derivative of -t**7/252 + 7*t**6/180 - t**5/15 - 2*t**4/9 + t - 19. Determine y, given that g(y) = 0.
-1, 0, 4
Let v(t) = -3*t**3 + 2*t**2 + 15*t + 12. Let h(q) = 7*q**3 - 2*q**2 - 30*q - 26. Let d(r) = 2*h(r) + 5*v(r). Factor d(m).
-(m - 8)*(m + 1)**2
Solve 3*m + 1/4*m**2 + 5 = 0 for m.
-10, -2
Factor -55 + 179*z + 540 + 5*z**2 + 311*z.
5*(z + 1)*(z + 97)
Let g(p) be the first derivative of 7*p**6/39 - 122*p**5/65 - 25*p**4/26 + 122*p**3/39 + 18*p**2/13 - 154. Find u, given that g(u) = 0.
-1, -2/7, 0, 1, 9
Let b(i) = -i**3 - 17*i**2 - 2*i - 30. Let s be b(-17). Let a(l) be the second derivative of 1/18*l**s + 4/9*l**3 + 4/3*l**2 - 5*l + 0. Factor a(o).
2*(o + 2)**2/3
Let a(u) = u**2 - u + 1. Suppose 2*f - 19 = -25. Let m(k) = k**2 + 3*k - 19. Let h(i) = f*a(i) - m(i). Factor h(n).
-4*(n - 2)*(n + 2)
Factor 20*o**2 - 15*o**2 + 35*o + 4*o + 6*o.
5*o*(o + 9)
Let p(m) be the first derivative of -m**7/280 + m**6/24 + 13*m**3/3 - 8. Let q(r) be the third derivative of p(r). Factor q(u).
-3*u**2*(u - 5)
Let h(q) be the second derivative of q**6/45 - 17*q**5/30 + 5*q**4/2 - 43*q**3/9 + 14*q**2/3 + 116*q. What is d in h(d) = 0?
1, 14
Let l be 8/(-56) + 1/7. Let r(p) be the third derivative of l*p**6 + 0*p**4 + 0 + 0*p**5 + 2*p**2 + 0*p - 1/210*p**7 + 0*p**3 - 1/96*p**8. Factor r(x).
-x**4*(7*x + 2)/2
Let o be (0 + -3 + 4)*(-3)/(-21). Factor 4/7*y**3 + 0 - o*y**5 + 0*y**2 + 0*y**4 + 0*y.
-y**3*(y - 2)*(y + 2)/7
Suppose 2 = -f + 7. Solve f*w**4 - 36*w + 15*w**2 + 34*w - 12*w**3 - 6*w**2 = 0.
0, 2/5, 1
Let y(i) be the first derivative of 5*i**3/3 - 20*i**2 - 45*i - 47. Suppose y(u) = 0. Calculate u.
-1, 9
Let -34 + 8/3*u**2 - 130/3*u = 0. Calculate u.
-3/4, 17
Let k be 82/26 - (-6)/117*-3. Let u(a) be the second derivative of 0*a**5 + 2*a + 1/8*a**2 + 0*a**k + 0 - 1/24*a**4 + 1/120*a**6. Factor u(c).
(c - 1)**2*(c + 1)**2/4
Let i = -32 + 38. Suppose i*z - 24 = -0*z. Determine x so that 2/5*x**3 + 0 + 0*x**2 + 0*x - 2/5*x**z = 0.
0, 1
Factor 1694 + 44*k + 2/7*k**2.
2*(k + 77)**2/7
Suppose -v + 2*v = d - 8, -3*d + 2*v = -22. Solve -303*a**3 + 15*a**2 + 309*a**3 - 11*a**4 - d*a - 4*a**4 = 0.
-1, 0, 2/5, 1
Let f be 513/912 - (-1)/(-16). Factor 1/6*a**3 + f*a - 1/6 - 1/2*a**2.
(a - 1)**3/6
Let o = 8 + -12. Let a = o + 7. Let -1 + 3*j**4 - 15*j + 3*j**a - 8 - 9*j**2 + 3 = 0. Calculate j.
-1, 2
Suppose 4 = 2*a - 5*m, 0*a - 11 = -3*a + 5*m. Let 18*u**2 + 4 - 30*u - 3*u**3 - a*u + 10*u + 8 = 0. What is u?
1, 4
Let v be -17 + 11 + -9 + 4 + 147/9. Determine n, given that -16/3 - 4/3*n**2 + v*n = 0.
2
Let x be -176 - -187 - (12 + -1). Suppose 0 + x*p + 9/4*p**2 + 3/4*p**3 = 0. Calculate p.
-3, 0
Suppose -8 + 23 = 3*z. Factor -5*a + 7*a**4 + 12*a**4 - 9*a**4 - 10*a**2 + 13*a**5 - 8*a**z.
5*a*(a - 1)*(a + 1)**3
Let t be (-1)/2 + -27 + 203. Let p = 178 - t. Suppose 0*v + 0 - v**2 - 7/2*v**