w**3. Let l(s) = 0. What is s?
-1
Let g(p) be the second derivative of 1/6*p**3 - 1/180*p**6 + 0 - 11/72*p**4 + 0*p**2 + 1/20*p**5 - p. Factor g(q).
-q*(q - 3)*(q - 2)*(q - 1)/6
Let b(m) be the second derivative of 0 + 0*m**2 + 0*m**5 + 3*m + 1/12*m**4 + 1/6*m**3 - 1/180*m**6. Let a(c) be the second derivative of b(c). Factor a(q).
-2*(q - 1)*(q + 1)
Let a be ((-2520)/(-243))/(-2)*15/(-10). Factor -8/9 + 16/3*q - a*q**2.
-2*(5*q - 2)*(7*q - 2)/9
Let h = -9 + 32. Suppose -22*y + 5 + h - 4 - 2*y**2 = 0. What is y?
-12, 1
Let f(q) be the third derivative of -2*q**6/45 + 3*q**5/10 - q**4/3 + 17*q**3/6 + 31*q**2. Let d(p) be the first derivative of f(p). Let d(g) = 0. Calculate g.
1/4, 2
Let y be (-2)/((54/(-12))/9). Let l(u) be the second derivative of 5*u + 11/3*u**3 + 2*u**2 + 0 + 3/2*u**y. Solve l(k) = 0 for k.
-1, -2/9
Let l be 5 - ((-2)/(-2) - 0). Suppose 2*u + 2*u = 44. Let -h**l - u*h**2 + 5*h**4 - h**2 + 0*h**2 - 8*h = 0. What is h?
-1, 0, 2
Let s(o) = 5*o**2 + 45*o + 94. Let z(i) = -22*i**2 - 181*i - 378. Let q(h) = -26*s(h) - 6*z(h). Let q(k) = 0. Calculate k.
-2, 44
Factor 7468*d**2 - 7470*d**2 + 15 - 4*d + 1.
-2*(d - 2)*(d + 4)
Suppose l + 6*k - 4*k = 7, 2*k = 4. Factor 2/3 + 2/3*n - 2/3*n**2 - 2/3*n**l.
-2*(n - 1)*(n + 1)**2/3
Let k(j) be the second derivative of j**5/4 - 185*j**4/12 - 95*j**3/3 + j + 77. Find f such that k(f) = 0.
-1, 0, 38
Let u(f) be the first derivative of 3/5*f**4 + 0*f**3 + 0*f + 3/5*f**5 + 0*f**2 + 1/10*f**6 - 9. Solve u(j) = 0.
-4, -1, 0
Let x(w) be the third derivative of w**7/420 - w**5/10 + w**4/3 + 37*w**2 - 3. Factor x(y).
y*(y - 2)**2*(y + 4)/2
Let a(v) = -v**3 - 8*v**2 + 9*v - 3. Let d be a(-9). Let h be -1 - (-127 + (d - -1)). Factor h*q**3 - 2*q**5 - 5*q**4 - 134*q**3 - q**4 - 2*q**2.
-2*q**2*(q + 1)**3
Let r(n) be the third derivative of 15*n**8/224 - 47*n**7/84 - 17*n**6/48 + 137*n**5/8 - 60*n**4 + 45*n**3 - 414*n**2. Let r(p) = 0. What is p?
-3, 2/9, 2, 3
Let h(y) be the third derivative of y**5/20 + 15*y**4/2 + 59*y**3/2 - 7*y**2 - 2*y. Factor h(k).
3*(k + 1)*(k + 59)
Solve 104*r**2 + r + r - 105*r**2 = 0.
0, 2
Let o(h) = -8 - 1 - h - 9 + 7*h. Let s be o(4). Determine g, given that -s*g**4 + 26/3*g**2 + 4/3*g - 18*g**5 + 14*g**3 + 0 = 0.
-2/3, -1/3, 0, 1
Let 0*g - 2/5*g**3 - 18/5*g**2 + 0 = 0. What is g?
-9, 0
Let m(w) = -4*w**2 + 2*w + 10. Let y(d) = 13*d + 9. Let h(i) = 7*i + 5. Let c(z) = 11*h(z) - 6*y(z). Let g(o) = -2*c(o) + m(o). Solve g(n) = 0 for n.
-1, 2
Let k = 12 + -8. Suppose b + 5*f = 54, -f + k*f = -b + 64. Factor 49 + 24*m**2 + 0*m**3 + 0*m**3 + b + 96*m + 2*m**3.
2*(m + 4)**3
Let b(y) be the first derivative of -6*y**5/5 + 81*y**4/8 + 39*y**3/2 + 6*y**2 + 59. Solve b(l) = 0 for l.
-1, -1/4, 0, 8
Suppose -47 = -31*f + 15. Suppose -4*l + 3 = -3*l. Factor q**l + q**3 + q**4 - q**f - q**5 - q**3.
-q**2*(q - 1)**2*(q + 1)
Let g be 28/(-66) - (-144)/132. Factor g*r**2 - 4/3 + 2/3*r.
2*(r - 1)*(r + 2)/3
Let k(i) be the second derivative of -10*i + 0 + 1/26*i**4 - 1/130*i**5 - 2/39*i**3 + 0*i**2. Determine n so that k(n) = 0.
0, 1, 2
Let 128 - 23*q**2 - 160 - 11*q**2 + 3*q + q**3 + 4*q**2 - 66*q = 0. Calculate q.
-1, 32
Determine l, given that 5408/21 + 208/21*l + 2/21*l**2 = 0.
-52
Suppose -2*l + 4*w = -166, -5*l + 440 = -w - 4*w. Let s = 93 - l. Factor -2/3*m + 1/3*m**2 + 1/3*m**3 + s.
m*(m - 1)*(m + 2)/3
Factor 2/3*p**2 + 28/3*p + 26/3.
2*(p + 1)*(p + 13)/3
Let i(o) be the second derivative of 0*o**2 + 1/16*o**4 + 1/80*o**5 - 29*o + 0 + 1/12*o**3. Let i(q) = 0. What is q?
-2, -1, 0
Factor -178/7*j**3 + 0 + 0*j - 2/7*j**2.
-2*j**2*(89*j + 1)/7
Let r(a) be the first derivative of -2*a**3/3 + 11*a**2 - 17*a + 39. Let p(d) = 4*d**2 - 44*d + 35. Let s(x) = -3*p(x) - 5*r(x). Find j such that s(j) = 0.
1, 10
Factor -8*w**3 - 289*w**2 + 234*w**2 - 5*w**4 - 30*w - 22*w**3.
-5*w*(w + 1)*(w + 2)*(w + 3)
Suppose 7045*j = 7080*j. Factor -1/4*u**3 + 0*u + j + 0*u**2 - 1/4*u**4.
-u**3*(u + 1)/4
Let m(d) be the first derivative of -4*d**3/3 - 12*d**2 - 26*d + 1. Let f(t) = 1. Let c(b) = 6*f(b) - m(b). Factor c(x).
4*(x + 2)*(x + 4)
Let w = 250 - 248. Let m be -15*(0 - (-1)/(-3)). Find x, given that -8/13*x**w + 0*x + 0*x**3 + 0 - 2/13*x**m + 6/13*x**4 = 0.
-1, 0, 2
Let k(f) be the first derivative of f**6/8 + 3*f**5/20 - 9*f**4/16 - f**3/4 + 3*f**2/4 - 12. Determine i so that k(i) = 0.
-2, -1, 0, 1
Factor -27/7*v - 6*v**3 + 18/7*v**4 - 3/7*v**5 + 6/7 + 48/7*v**2.
-3*(v - 2)*(v - 1)**4/7
Let j be (-203)/1*(-16)/48. Let x = j - 67. Suppose x*z**2 + 4*z + 6 = 0. What is z?
-3
Let u(b) be the third derivative of b**5/30 + 4*b**4/3 + 28*b**3/3 - 87*b**2. Factor u(o).
2*(o + 2)*(o + 14)
Let k(v) be the first derivative of v**5/20 + v**4/3 - v**3/6 - 2*v**2 - 8*v - 31. Let l(w) be the first derivative of k(w). Let l(j) = 0. Calculate j.
-4, -1, 1
Let n be (-2 - 20/(-6))/(15/45). What is i in 3*i**n + 1600 + 6*i**3 - 1600 = 0?
-2, 0
Let w(h) be the third derivative of -1/6*h**4 + 0*h**3 + 1/15*h**6 + 0 + 0*h + 0*h**5 - 23*h**2 + 0*h**7 - 1/84*h**8. Factor w(k).
-4*k*(k - 1)**2*(k + 1)**2
Let r(t) be the third derivative of -1/780*t**6 - 1/65*t**5 + 0 + t**2 - 5/156*t**4 + 0*t**3 + 0*t. Factor r(k).
-2*k*(k + 1)*(k + 5)/13
Suppose 3*c + 5*m + 20 = 0, 3*c - 35*m + 12 = -38*m. Factor 60*y**2 + 5/2*y**4 + 40*y + 45/2*y**3 + c.
5*y*(y + 1)*(y + 4)**2/2
Let z(r) be the third derivative of r**6/80 - r**5/10 + 3*r**4/16 - r**2 - 7*r. Determine a so that z(a) = 0.
0, 1, 3
Suppose 3*w + 0*w = -3*h + 18, 22 = 4*h + 5*w. Solve i + h*i + 5*i**2 - 4*i = 0 for i.
-1, 0
Let k be ((-118)/1652)/(10/(-4)). Let i(v) be the third derivative of -k*v**7 - 6*v**2 + 0 + 0*v + 0*v**3 - 1/12*v**4 - 1/6*v**5 - 7/60*v**6. Factor i(n).
-2*n*(n + 1)**2*(3*n + 1)
Let o(d) be the second derivative of d**4/48 + d**3/4 + 9*d**2/8 - 58*d. Suppose o(g) = 0. Calculate g.
-3
Let v(m) be the first derivative of -5*m**3/3 - m**2/2 + 6*m + 11. Let u(b) = -b**2 + 1. Let g = -1 + 0. Let f(n) = g*v(n) + 6*u(n). Find s such that f(s) = 0.
0, 1
Let n = 30358/765 - 358/9. Let m = n + 28/85. Let -m + 2/17*x**2 + 2/17*x = 0. Calculate x.
-2, 1
Let y(r) = -r**3 - 2*r**2 + 4. Let q be y(-3). Suppose -q*x - 10 = -18*x. Suppose 4/3*o**4 + 0*o + 2/3*o**3 + 2/3*o**5 + 0*o**x + 0 = 0. Calculate o.
-1, 0
Suppose 3*g - g + 12 = -4*i, -5*i - 28 = -4*g. Factor 5*v**g + 25*v + 15*v**3 - 5 + 2*v**2 - 42*v**2.
5*(v - 1)**2*(3*v - 1)
Find m, given that 27*m**2 - 61*m**2 + 4*m**5 + 14*m - 18*m**3 + 22*m**4 + 135 - 123 = 0.
-6, -1, -1/2, 1
Let d(p) be the third derivative of p**8/784 + 8*p**7/245 + 9*p**6/28 + 10*p**5/7 + 125*p**4/56 - 140*p**2 + p. Factor d(h).
3*h*(h + 1)*(h + 5)**3/7
Let z(l) = -l**3 + 16*l**2 + 23*l - 2. Let i(y) = -3*y**3 + 63*y**2 + 93*y - 9. Let j(d) = -2*i(d) + 9*z(d). Suppose j(s) = 0. What is s?
-1, 0, 7
Let v = -3/4490 - -5391/4490. Find g such that 0 - v*g**3 + 6/5*g + 2/5*g**2 - 2/5*g**4 = 0.
-3, -1, 0, 1
Suppose -1/11*v**2 - 12/11*v + 0 = 0. Calculate v.
-12, 0
Let d(y) = -11*y**3 + 41*y**2 - 72*y + 22. Let i(g) = 57*g**3 - 203*g**2 + 359*g - 109. Let r(j) = -22*d(j) - 4*i(j). Determine x, given that r(x) = 0.
3/7, 2, 4
Let k(m) be the second derivative of -m**5/5 + 8*m**4/3 + 2*m**3/3 - 16*m**2 - 232*m - 2. Suppose k(s) = 0. What is s?
-1, 1, 8
Let s = 768 + -5373/7. Determine h so that 0 - 9/7*h - s*h**3 - 12/7*h**2 = 0.
-3, -1, 0
Factor 0 - 2/7*t**4 + 16/7*t**2 + 0*t - 4/7*t**3.
-2*t**2*(t - 2)*(t + 4)/7
Let y(h) be the first derivative of 3*h**4/4 - 13*h**3 - 87*h**2/2 - 45*h + 90. Suppose y(u) = 0. Calculate u.
-1, 15
Let z(i) be the first derivative of 3*i**4/4 + 25*i**3/3 - 24*i**2 + 20*i + 29. Determine c so that z(c) = 0.
-10, 2/3, 1
Factor -7/6*u**3 - u - 1/6*u**4 + 0 + 13/6*u**2 + 1/6*u**5.
u*(u - 2)*(u - 1)**2*(u + 3)/6
Let b(l) be the third derivative of -l**7/1260 - l**6/240 + 67*l**2. Factor b(f).
-f**3*(f + 3)/6
Let r be 20/(-25) + (-96)/(-20). Factor 6*n**5 - 8*n**5 + 9*n**r - 13*n**4.
-2*n**4*(n + 2)
Let z(n) be the first derivative of n**3/5 + 6*n**2/5 - 63*n/5 - 144. Find x such that z(x) = 0.
-7, 3
Let o(h) = -5*h**5 - 38*h**4 - 79*h**3 - 2*h**2 + 2*h - 2. Let y(p) = 11*p**5 + 77*p**4 + 157*p**3 + 5*p**2 - 5*p + 5. Let b(d) = 5*o(d) + 2*y(d). Factor b(q).
-3*q**3*(q + 3)*(q + 9)
Let i(l) = -6*l**4 - 294*l**3 - 508*l**2 