ven that l(t) = 0.
-8, -1/6, 0
Let s(i) = -18*i**2 + 577*i - 30. Let q be s(32). Suppose 3*l = -0 + 9. Determine c so that 5/2*c + 3*c**q - 1/2*c**5 - 2*c**l - 3*c**4 + 0 = 0.
-5, -1, 0, 1
Let b be (10 + 18/(-3) - -3) + -6. Let z be (37 - 39)*(-2)/2*b. Find y such that -6*y**2 + 1/2*y**5 - 3*y**4 + z*y + 0 + 13/2*y**3 = 0.
0, 1, 2
Let g(t) = 4*t + 32. Let l be g(-5). Solve -3*r + 15*r**2 + l*r - 24 - 15*r - 3*r**3 = 0 for r.
-1, 2, 4
Let q be 3 - (-22 - 4) - -4. Let i = -29 + q. Find b, given that -5*b**3 + 2*b**3 + b**3 - 4*b - 2*b**2 + i*b**3 = 0.
-1, 0, 2
Let m(j) be the second derivative of -4*j + 18/5*j**6 - 7*j**3 + 61/4*j**4 - 14 - 63/5*j**5 + 3/2*j**2. Factor m(b).
3*(b - 1)**2*(6*b - 1)**2
Let v(m) be the first derivative of m**4/16 + 10*m**3/3 + 113*m**2/8 + 37*m/2 - 621. Let v(a) = 0. Calculate a.
-37, -2, -1
Let m be (711/4)/(8 + (-65)/10). Let r = -116 + m. Suppose 25/6*v - 5/6*v**3 - r*v**2 + 5/6*v**4 - 5/3 = 0. Calculate v.
-2, 1
Let h(q) = -3*q**2 - 24*q - 126. Let s(j) = -14*j + 1. Let f(o) = -10*o. Let b(k) = 4*f(k) - 3*s(k). Let n(w) = 9*b(w) - h(w). Factor n(a).
3*(a + 3)*(a + 11)
Suppose 3*q - 21 = -3*a, 4*a + 63 - 19 = 5*q. Let i = q - 4. Factor 89*h**2 + 31*h**3 - 17*h**2 - 7*h**3 + 2*h**i.
2*h**2*(h + 6)**2
Let x(p) be the third derivative of -p**7/70 + 3*p**6/40 + 15*p**5/4 + 137*p**4/8 + 33*p**3 + 81*p**2 - 4. Factor x(o).
-3*(o - 11)*(o + 1)**2*(o + 6)
Let c(i) be the third derivative of -i**7/2310 + 29*i**6/60 - 158*i**5/165 - 1591*i**4/132 - 637*i**3/22 + 2*i**2 + i + 1057. Let c(a) = 0. Calculate a.
-1, 3, 637
Suppose 816 = 119*z + 17*z. Let f(w) be the first derivative of 1/2*w**4 - 2*w**3 + z*w + 14 - w**2. Find j, given that f(j) = 0.
-1, 1, 3
Let p(n) = 6*n**2 + 144. Let f(y) = -y**2 + 89*y + 82*y - 173*y. Let m(l) = -10*f(l) - p(l). Factor m(q).
4*(q - 4)*(q + 9)
Let h(r) be the first derivative of -4*r**3/15 - 16*r**2 - 1116*r/5 + 1750. What is g in h(g) = 0?
-31, -9
Let n(h) be the first derivative of -h**6/1800 - h**5/12 - 49*h**4/120 + 83*h**3/3 - 89. Let p(i) be the third derivative of n(i). Suppose p(x) = 0. What is x?
-49, -1
Suppose 6 + 0 = 3*k. Let r(o) = -8*o**2 + 3*o**2 - 3*o + k*o - o**3 + 6*o**2. Let f(q) = 3*q**3 - 5*q**2 + 9*q - 3. Let t(v) = f(v) + 4*r(v). Factor t(b).
-(b - 1)**2*(b + 3)
Suppose -m - 5 = -q, -3*q + 81*m = 83*m - 5. Suppose 0 + 0*d**2 - 4/3*d + d**q + 1/3*d**4 = 0. What is d?
-2, 0, 1
Let x be (-8)/(-10) - (1 + (-48)/40). Let w be x/(-4) + (425/20 - -3). Determine u so that 37 - 9*u - 87*u - w*u + 13 + 72*u**2 = 0.
5/6
Let l(f) = 8*f**3 - 810*f**2 + 1554*f - 780. Let w(z) = 5*z**3 - 540*z**2 + 1035*z - 520. Let d(g) = 5*l(g) - 7*w(g). Factor d(j).
5*(j - 52)*(j - 1)**2
Let w be (5 + -9)/4*-24. Factor 19*u + 10*u + u**2 - 15*u + w*u - 16 - 23.
(u - 1)*(u + 39)
Let w(i) = -5*i**3 - 6*i**2 + 6*i - 8. Let u be (11/(-34 + -10))/((-1)/(-4)). Let m(j) = j**3 + j. Let s(o) = u*w(o) - 6*m(o). Determine a so that s(a) = 0.
2
Let o be 4 - (12/(-3) - 0). Factor 0*i**2 - 200*i - 13*i**2 - 2296 + 296 + o*i**2.
-5*(i + 20)**2
Let o(j) be the second derivative of -j**5/10 + 15*j**4 - 576*j**3 - 13824*j**2 - 1156*j. Factor o(l).
-2*(l - 48)**2*(l + 6)
Let f(r) be the second derivative of r**9/151200 - r**8/67200 + 29*r**4/12 + 69*r. Let n(d) be the third derivative of f(d). Factor n(k).
k**3*(k - 1)/10
Let n(f) be the first derivative of -121*f**3/3 - 1320*f**2 - 14400*f - 1002. Factor n(a).
-(11*a + 120)**2
Let v(a) = 13*a**2 + 62*a + 49. Suppose 33 = 2*j + 3*i, j + j - 4*i = 40. Let z(r) = -3*r**2 - 15*r - 12. Let f(s) = j*z(s) + 4*v(s). What is l in f(l) = 0?
-10, -1
Suppose -1075 - 20 = -219*y. Let r(l) be the third derivative of 1/9*l**4 + 0*l**3 + 0*l - 1/15*l**y + 5*l**2 + 1/90*l**6 + 0. Factor r(v).
4*v*(v - 2)*(v - 1)/3
Determine h so that 0*h + 32/3*h**2 + 0 + 2/3*h**3 = 0.
-16, 0
Find o, given that 14/9*o**5 + 376/9*o**3 + 0*o + 18*o**4 + 0 - 64/3*o**2 = 0.
-8, -4, 0, 3/7
Suppose -4*t - z + 6 = -193, 2*t + 2*z - 92 = 0. Suppose -t = -4*o + o. Factor 63*f - o*f + 4*f - 9 - 60*f**2 + 30*f**3 - 6 - 5*f**4.
-5*(f - 3)*(f - 1)**3
Let z(i) be the first derivative of -8/7*i**3 - 15/28*i**4 + 6/7*i - 49 - 3/14*i**2. Suppose z(l) = 0. Calculate l.
-1, 2/5
Let a(t) be the second derivative of 8*t + 0*t**3 + 0*t**2 + 39/20*t**5 + 3/2*t**4 + 1/14*t**7 + 2/3*t**6 - 9. Let a(g) = 0. What is g?
-3, -2/3, 0
Find h such that -42/5*h**4 - 138/5 + 20*h**3 - 2/5*h**5 + 36*h**2 - 98/5*h = 0.
-23, -1, 1, 3
Let m = 24113/57828 + -3/9638. Let x(c) be the second derivative of -m*c**4 + 0*c**2 + 0 + 25*c - 1/4*c**5 + 5/3*c**3. What is y in x(y) = 0?
-2, 0, 1
Let f(t) be the third derivative of 0*t - 1/30*t**5 - 4*t**3 + 0 + 72*t**2 - 2/3*t**4. Find b such that f(b) = 0.
-6, -2
Suppose 10*n + 12 = 7*n. Let q be 1 + (-2)/((-2)/(-3)) - n. Find o such that -23 - q*o**2 - 20*o + 73 + 4*o**2 = 0.
5
Let v = 28 - 25. Factor -25 - 565*a**4 + 560*a**4 + 20*a + 6*a**3 + 30*a**2 - 26*a**v.
-5*(a - 1)**2*(a + 1)*(a + 5)
Let f(p) be the third derivative of -p**5/30 + 62*p**4/3 - 164*p**3 - 502*p**2. Factor f(x).
-2*(x - 246)*(x - 2)
Let c(h) be the third derivative of -2*h**7/105 - 13*h**6/30 - 21*h**5/5 - 45*h**4/2 - 72*h**3 - 2250*h**2. Factor c(p).
-4*(p + 3)**3*(p + 4)
Find z, given that -1/2*z + 1/8*z**2 - 4 = 0.
-4, 8
Let w(h) = -h**2 - 345 - 430*h - 3*h**2 - h**2 - 10. Let p(k) = k**2 + 72*k + 59. Let t(r) = -35*p(r) - 6*w(r). Factor t(l).
-5*(l - 13)*(l + 1)
Let y be ((-6)/20)/(26*(-228)/39520). Factor -32*h**3 + 6*h**4 + 32*h + 6 + 92/3*h**y.
2*(h - 3)**2*(3*h + 1)**2/3
Let q = 2049 + -2049. Let r(m) be the second derivative of 2*m + q + 0*m**3 + 2/5*m**2 - 1/60*m**4. Determine g, given that r(g) = 0.
-2, 2
Solve -4*c**2 - 58*c - 223*c - 8*c + 4480 - 105*c - 218*c = 0.
-160, 7
Let k(y) = 27*y**2 + 808*y - 90. Let c(z) = 27*z**2 + 808*z - 96. Let f(d) = -5*c(d) + 6*k(d). Let f(w) = 0. What is w?
-30, 2/27
Let x = -251/8 - -761/24. Let r = 366 - 363. Find m, given that 1/3*m + 1 - x*m**r - m**2 = 0.
-3, -1, 1
Let n be ((-705)/47 - -13) + 26. Factor 144/5 - 3/5*t**3 - n*t + 33/5*t**2.
-3*(t - 4)**2*(t - 3)/5
Determine x so that -567*x**3 - 252 + 750*x**2 + 5*x**5 + 45*x**4 - 480*x + 2*x**5 + 6*x**4 + 491*x**2 = 0.
-14, -2/7, 1, 3
Let i(m) be the second derivative of 39/2*m**2 + 15/4*m**4 + 27/2*m**3 - 3*m + 3/20*m**5 - 2. Factor i(s).
3*(s + 1)**2*(s + 13)
Let t(j) = -123*j**2 + 394*j - 324. Suppose 0 = -5*r - k + 14, 10 = -4*r - r + 5*k. Let g(a) = a**2 + a. Let n(l) = r*g(l) + t(l). Factor n(p).
-(11*p - 18)**2
Let g be (114/(-6))/((-4)/48*4). Suppose -57 = -13*d - g. Suppose 0 + 4/5*l**5 + d*l**3 + 0*l**2 - 2/5*l**4 + 0*l = 0. Calculate l.
0, 1/2
Suppose -30 = 10*v - 13*v. Let 21*d + 21 + 0*d**2 + 3*d**2 - v*d + 13*d = 0. What is d?
-7, -1
Let u(j) = j. Let g(k) = 4*k**2 + 16*k. Suppose 6*x = -0*x - 24. Let v(d) = x*u(d) - g(d). Factor v(h).
-4*h*(h + 5)
Factor -1/5*l**2 + 13/5*l + 6.
-(l - 15)*(l + 2)/5
Let v(s) be the first derivative of s**6/3 - 3*s**5/10 - s**4/3 + 93*s - 75. Let w(t) be the first derivative of v(t). Determine i so that w(i) = 0.
-2/5, 0, 1
Let a(c) be the second derivative of -8*c**7/21 + 6*c**6/5 + 17*c**5/5 - 3*c**4 - 26*c**3/3 + 21*c - 21. Find i, given that a(i) = 0.
-1, 0, 1, 13/4
Let o = 3720 - 3715. Let g(p) be the third derivative of -12*p**2 + 0 - 1/420*p**7 + 1/40*p**o - 1/6*p**3 - 1/48*p**4 + 0*p + 1/240*p**6. Factor g(u).
-(u - 2)*(u - 1)*(u + 1)**2/2
Let u(h) be the first derivative of 1/15*h**5 - 10/3*h**3 - 22 + 0*h + 2/3*h**4 + 9/2*h**2. Let o(x) be the second derivative of u(x). Factor o(w).
4*(w - 1)*(w + 5)
Let z(p) = -37*p + 240. Let n be z(6). Let x be (-13*11/(-4719))/(1/n). Find a such that -2/11*a**2 + 0 + 2/11*a**4 + 2/11*a**5 + 4/11*a - x*a**3 = 0.
-2, -1, 0, 1
Let p = 111 + -104. Factor -10*z**2 + 8*z - p*z**3 - 4 + 5*z**4 + z**2 - z**5 + 4*z**2 + 4*z**2.
-(z - 2)**2*(z - 1)**2*(z + 1)
Let a(v) = -v**3 - 7*v**2 + 10. Let q be a(-8). Let r = q + -72. Factor o**r - 19 + 8 + 9*o + o.
(o - 1)*(o + 11)
Let q(i) be the first derivative of -2638*i**3 + 3945*i**2/2 + 6*i + 4700. Factor q(s).
-3*(2*s - 1)*(1319*s + 2)
Let a(v) be the third derivative of -4*v**8/63 + 16*v**7/315 - v**6/90 + 2*v**2 + 19*v. Factor a(q).
-4*q**3*(4*q - 1)**2/3
Let i(z) be the first derivat