6) - (-3)/(-3)). Let n(p) be the first derivative of -7/16*p**4 - 5/2*p**3 - 3 - q*p**2 - 2*p. Solve n(l) = 0 for l.
-2, -2/7
Let l(o) be the third derivative of -o**8/840 - 11*o**7/525 - 43*o**6/300 - 77*o**5/150 - 16*o**4/15 - 4*o**3/3 + 151*o**2. Suppose l(n) = 0. Calculate n.
-5, -2, -1
Let d(w) = 5*w**2 - 7*w + 8. Let j = -9 + 23. Let l(v) = v**2 - v. Let r(p) = j*l(p) - 2*d(p). Solve r(c) = 0.
-2, 2
Factor 1/4*v**2 + 5/4 + 3/2*v.
(v + 1)*(v + 5)/4
Factor -4*y**2 + 24/5*y + 0 + 4/5*y**3.
4*y*(y - 3)*(y - 2)/5
Determine c so that 10/3*c**3 + 2/3*c**4 - 2/3*c**5 - 2/3*c**2 - 8/3 - 16/3*c = 0.
-1, 2
Let f(z) be the second derivative of z**5/40 + 5*z**4/16 + z**3 + 9*z**2/2 - 8*z. Let b(j) be the first derivative of f(j). Find o such that b(o) = 0.
-4, -1
Suppose 36 = 6*a - 0*a. Determine b so that -a*b**3 - 73*b**5 + 38*b**5 + 38*b**5 - 9 + 3*b + 18*b**2 - 9*b**4 = 0.
-1, 1, 3
Let c(r) be the third derivative of r**6/40 - 7*r**5/10 + 3*r**4 + 69*r**2 + 3. Let c(w) = 0. What is w?
0, 2, 12
Let u be ((-16)/(-20))/(3/(-60)). Let f = -12 - u. Factor -3*c**4 - c**4 + 6*c**4 - f*c**4.
-2*c**4
Let u(r) = -r**2 + 2*r + 3. Let v be u(2). Factor -1 + 2 + 7*d**3 - 18*d**3 + v*d**2 + 12*d**3 + 3*d.
(d + 1)**3
Let a be ((-12)/(-16))/(2/8) - 1. Factor 15*l**2 - 5*l**a - 4 - 5*l**2 + l - 2*l**2.
(l - 1)*(3*l + 4)
Let a(o) be the second derivative of 6*o + 5/12*o**4 + 0*o**2 - 5/6*o**3 + 0. Factor a(b).
5*b*(b - 1)
Let f(q) be the first derivative of q**6/105 + 3*q**5/70 + 10*q - 3. Let i(r) be the first derivative of f(r). Factor i(g).
2*g**3*(g + 3)/7
Suppose 0 = 8*g + 62 - 174. Factor 16*v**2 - g - 196*v + 25 + 37.
4*(v - 12)*(4*v - 1)
Let u = 110 - 105. Let c(z) = z**2 - 6*z + 7. Let m be c(u). Factor 16/3*x + 2/9*x**3 + 32/9 + 2*x**m.
2*(x + 1)*(x + 4)**2/9
Let j(k) be the third derivative of k**7/630 + k**6/360 - k**5/30 + 160*k**2. Factor j(p).
p**2*(p - 2)*(p + 3)/3
Let j(g) = -17*g**2 + 3*g. Let q(s) = 3*s**2 - s. Let w(k) = -j(k) - 6*q(k). Suppose w(d) = 0. What is d?
0, 3
Let d(q) be the third derivative of -q**8/20160 + q**7/1008 - q**5/12 - 7*q**2. Let j(x) be the third derivative of d(x). Factor j(u).
-u*(u - 5)
Let f = 78/31 + -3027/1240. Let o(m) be the second derivative of 0 + 3/8*m**3 + f*m**6 - 3/4*m**2 - 21/80*m**5 + 3/16*m**4 - 6*m. Factor o(d).
3*(d - 1)**3*(3*d + 2)/4
Let d be 1*(3 - (-1 + 3 - 1)). Let v(k) be the first derivative of -1 + 1/8*k**d - 1/12*k**3 - 1/16*k**4 + 1/4*k. Determine t so that v(t) = 0.
-1, 1
Let p be ((-9)/(-66))/(249/48 - 5). Find a such that 8/11 - 6/11*a**2 - p*a + 2/11*a**4 + 4/11*a**3 = 0.
-2, 1
Let j(p) = p**4 + p**2 + 2. Let a(x) = 6*x**4 + 6*x**3 + 6*x**2 - 6*x + 20. Let i(f) = a(f) - 8*j(f). Let i(y) = 0. What is y?
-1, 1, 2
Suppose 0 = 4*s + 4*x, -109*x + 54*x = 5*s - 56*x. Factor 2/7*t**5 + s*t - 2/7*t**4 - 2/7*t**3 + 2/7*t**2 + 0.
2*t**2*(t - 1)**2*(t + 1)/7
Let p be ((-100)/12 - 1) + 10. Factor p*o**3 + 4/3*o**2 + 0 + 0*o.
2*o**2*(o + 2)/3
Let m(j) = -j**3 + 17*j**2 - j - 20. Let y be m(17). Let x = y + 39. Factor 4/3*t**3 - 2/3*t + 2/3 + 2/3*t**4 - 2/3*t**5 - 4/3*t**x.
-2*(t - 1)**3*(t + 1)**2/3
Let x(u) be the first derivative of u**6/2 - 12*u**5/5 + 15*u**4/4 - 2*u**3 + 100. Solve x(j) = 0 for j.
0, 1, 2
Let f be (3/6 - -1 - 3)*-6. Suppose f*j + 4 = 11*j. Factor 6/5*l**j + 0*l - 8/5 + 2/5*l**3.
2*(l - 1)*(l + 2)**2/5
Suppose 13*q + 4*q - 493 = 0. Suppose -q = 3*z - 35. Factor -2*d**2 - 14/3*d**3 - 2*d**4 + 4/3 + z*d.
-2*(d + 1)**3*(3*d - 2)/3
Suppose -5 = -3*n + 10, 3*n = 5*l - 5. Factor -12*w**4 + 5*w - l*w**5 + 20*w**2 - 4*w**2 - 5*w.
-4*w**2*(w - 1)*(w + 2)**2
Let c be (0 + (-4)/(-22))/(7/77). Let v = 5 + -3. Factor 0*m**2 - 5*m**2 - 2*m + c*m**v + 8*m.
-3*m*(m - 2)
Let d(m) be the first derivative of -m**3/12 + 9*m**2/4 + 37. Determine j so that d(j) = 0.
0, 18
Let m(r) be the third derivative of 1/490*r**7 + 2/7*r**3 + 13/140*r**5 - 11*r**2 - 3/14*r**4 - 3/140*r**6 + 0 + 0*r. Solve m(p) = 0 for p.
1, 2
Find j such that 9/11*j**3 - 3/11*j**2 - 2/11*j - 1/11*j**4 - 3/11*j**5 + 0 = 0.
-2, -1/3, 0, 1
Let s be (-117)/(-9) - 40/5. Let x(t) be the first derivative of t**3 + 1/2*t**4 + 1/2*t + 1/10*t**s + 4 + t**2. Factor x(d).
(d + 1)**4/2
Let v(n) = -2*n**2 - n - 2. Let x(m) = 14*m**2 - 119*m + 6. Let q(p) = 6*v(p) + 2*x(p). Factor q(c).
4*c*(4*c - 61)
Suppose 4*v + 0*v = a + 15, -2*a - 6 = 0. Let n(o) = 2*o**2 - 3*o. Let z be n(2). Solve -1 + 2*c - 5 + v + 4*c - 3*c**z = 0.
1
Let u(s) be the first derivative of s**6/14 - 3*s**5/7 - 3*s**4/4 + 5*s**3/7 + 9*s**2/7 - 26. What is j in u(j) = 0?
-1, 0, 1, 6
Suppose -3*u = 2*a - 10, 5*a + 4 = 2*a + 5*u. Let 2*j + 3*j**2 + 7*j + 0*j + 0*j**a = 0. What is j?
-3, 0
What is t in 0*t - 3*t + 192 + 0*t + 42*t + 19*t - 2*t**2 = 0?
-3, 32
Let m = -3476 - -3476. Factor m + 0*y - 8/7*y**3 + 2/7*y**4 + 0*y**2.
2*y**3*(y - 4)/7
Let d = 44 + -35. Let -620*p + 272*p**2 - 230 - d*p**3 + 30 - 19*p**3 = 0. What is p?
-2/7, 5
Let t(b) = -7*b**2 + 26*b + 10. Let r(m) = 2. Let c(a) = 3*r(a) - 3*t(a). Factor c(h).
3*(h - 4)*(7*h + 2)
Let t(l) be the second derivative of l**5/110 + l**4/11 + 3*l**3/11 + 4*l**2/11 - 12*l - 6. Suppose t(p) = 0. Calculate p.
-4, -1
Let i(j) be the second derivative of 1/3*j**3 - 4*j + 5 + 3/2*j**2 - 1/12*j**4. Let i(t) = 0. What is t?
-1, 3
Let n(o) be the first derivative of -2*o**6/9 - 52*o**5/15 + 11*o**4 + 164*o**3/9 - 128*o**2/3 - 80*o + 601. Solve n(v) = 0.
-15, -1, 2
Suppose 5*g + 2/3*g**4 - 3 - 11/3*g**3 + 11/3*g**2 = 0. Calculate g.
-1, 1/2, 3
Let r(s) = 2*s**4 + 31*s**3 + 125*s**2 + 234*s + 128. Let l(z) = -3*z**4 - 47*z**3 - 188*z**2 - 352*z - 192. Let f(g) = -5*l(g) - 8*r(g). Factor f(b).
-(b + 1)*(b + 4)**3
Determine y, given that 161*y + 28*y**5 - 6*y**4 - 31*y**5 - 42 - 168*y**2 - 20*y + 78*y**3 = 0.
-7, 1, 2
Let j = 9 + -5. Factor x**2 - j + 0*x**2 + 2*x**2 + 5*x**3 - 6*x**3.
-(x - 2)**2*(x + 1)
Let k(s) be the first derivative of 2*s**3/27 - s**2/3 + 4*s/9 + 32. Factor k(x).
2*(x - 2)*(x - 1)/9
Let b(l) be the first derivative of -4 + 5/6*l**3 + 0*l**2 - 5/8*l**4 + 0*l. Determine q so that b(q) = 0.
0, 1
Let i be (-3)/(1 + -2) - -25. Factor 18*w**2 - 9*w - 15*w + 14*w**3 + i*w.
2*w*(w + 1)*(7*w + 2)
Let f(k) be the second derivative of -k**6/75 + 7*k**4/30 + 2*k**3/5 - 2*k - 2. Factor f(r).
-2*r*(r - 3)*(r + 1)*(r + 2)/5
Let h(g) be the second derivative of g**5/5 - 25*g**4/3 + 16*g**3 + 34*g - 1. Suppose h(x) = 0. Calculate x.
0, 1, 24
Determine n so that 3*n**2 - 3*n**2 - 5*n**3 - 12211 - 5*n**2 + 12211 + 10*n = 0.
-2, 0, 1
Let w(q) = 32*q**2 + 645*q + 100. Let s be w(-20). Find v, given that 0*v**2 + 0 + s*v - 2/19*v**3 = 0.
0
Suppose 4*n = -11 - 9, 120 = 5*o + 2*n. Suppose -5*z + 5*p - 1 = -o, -11 = -z + 3*p. Factor 2/9*f**z - 2/9*f + 2/9*f**3 - 2/9.
2*(f - 1)*(f + 1)**2/9
Let q = 1/7256 - -362789/79816. Factor -20/11*c - q - 2/11*c**2.
-2*(c + 5)**2/11
Factor -14533*r + 97170*r - 690*r**3 - 3*r**4 - 2597*r - 38979*r**2 - 40368.
-3*(r - 1)**2*(r + 116)**2
Let y(n) = 5*n + 7. Let m be y(-2). Let t(v) = v**2 + 1. Let f(d) = 2*d**2 + d + 5. Let o(a) = m*t(a) + f(a). Factor o(b).
-(b - 2)*(b + 1)
Let r be 120/36 - (-8)/(-6). Let 2*u**4 + 0 + 1/3*u**5 - r*u**2 + 8/3*u**3 - 3*u = 0. What is u?
-3, -1, 0, 1
Determine a, given that 4/11 - 14/11*a**2 - 10/11*a = 0.
-1, 2/7
Let b(d) be the first derivative of d**4/10 - 2*d**3/5 + 2*d**2/5 + 143. Find i, given that b(i) = 0.
0, 1, 2
Factor 9*p**4 - 4*p**4 + 95*p**3 + 186*p**2 - 500*p + 214*p**2.
5*p*(p - 1)*(p + 10)**2
Factor 113/2*t + 70*t**3 + 19/2 - 4*t**4 + 111*t**2.
-(t - 19)*(2*t + 1)**3/2
Let t(v) be the third derivative of 4*v**8/105 + 16*v**7/75 - 71*v**6/150 - 173*v**5/75 - 7*v**4/3 - 16*v**3/15 + 136*v**2. Find o such that t(o) = 0.
-4, -1, -1/4, 2
Let r(v) = 2*v**4 - v**3 - v**2 - v. Let y(p) = 3*p**5 - 13*p**4 - 22*p**3 + 8*p**2 + 65*p + 36. Let b(k) = -5*r(k) - y(k). Let b(x) = 0. What is x?
-2, -1, 2, 3
Let l(n) = -n**2 + 8*n + 22. Let k be l(9). Factor f**2 + 25 + f - k - 12.
f*(f + 1)
Let y(t) be the third derivative of -t**6/60 + 4*t**5/45 + t**4/9 - 16*t**3/9 + 2*t**2 + 28*t. Determine c so that y(c) = 0.
-4/3, 2
Let q = -16778/3 - -5593. Find n such that -q*n**2 - 5/3*n - 4/3 = 0.
-4, -1
Factor 720 - 501*t**5 + 420*t**5 - 1474*t**2 - 4336*t + 3861*t**4 - 993