ose 0 = -5*h + 5*l - 15, 10*h + 9*l - 27 = 12*h. Factor h*c + 2/7*c**3 + 0 - 2/7*c**2.
2*c**2*(c - 1)/7
Solve -39/8*z**3 + 0 + 0*z + 3/8*z**4 + 0*z**2 = 0 for z.
0, 13
Suppose 0 = -u + 5*u + 4*m - 1556, u = -2*m + 393. Let q be (-137)/(-7) - 11/(u/10). Let 12/7 - 72/7*k + q*k**2 - 75/7*k**3 = 0. Calculate k.
2/5, 1
Let -1152*z + 504*z**3 - 98/3*z**4 - 512/3 - 5384/3*z**2 = 0. What is z?
-2/7, 8
Let v be (-3)/(-12*4/(-1280)). Let f be ((-3)/4)/(-27*(-10)/v). Let f*z**4 + 2/9 + 4/3*z**2 - 8/9*z**3 - 8/9*z = 0. Calculate z.
1
Let s(l) be the third derivative of -3/4*l**3 + 0*l - 13*l**2 + 0 - 1/80*l**5 - 5/32*l**4. Find k, given that s(k) = 0.
-3, -2
Let z(w) = 5*w**2 + 3. Let m be z(4). Solve -37*t**4 + 34*t**3 + m*t**3 - 40*t**2 - 44*t**4 + 4*t = 0.
0, 2/9, 1
Suppose -5 = -k + 4*p, -2*k = -k - 3*p - 4. Let b be (k/(-3))/((-3)/18). Factor 2*i**4 + 4*i + 9*i**2 + b*i - 5*i**4.
-3*i*(i - 2)*(i + 1)**2
Let g be 10/(-50)*(12 + 3) + 6. Suppose 0*s + 2/3*s**4 + 4/3*s**g + 2/3*s**2 + 0 = 0. Calculate s.
-1, 0
Let y = -1732 + 27715/16. Let n(s) be the first derivative of 0*s + y*s**4 + 3 + 1/8*s**2 + 1/3*s**3. Factor n(t).
t*(t + 1)*(3*t + 1)/4
Let n(p) = p - 1. Let j(a) = -5*a - 4. Let i(t) = j(t) + 4*n(t). Let f be i(-10). Suppose 2 - 2*o**3 - 6*o**f - 7 - 6*o + 3 = 0. Calculate o.
-1
Let t = 1522/3 + -506. Factor -t - 4/3*w**3 - 4*w**2 - 4*w.
-4*(w + 1)**3/3
Let g(x) be the first derivative of -3/7*x**2 + 4/21*x**3 - 5 - 4/7*x. Determine q so that g(q) = 0.
-1/2, 2
Let l = 1676/15 + -6689/60. Factor 5/2*r + 3*r**2 + 3/4 + 3/2*r**3 + l*r**4.
(r + 1)**3*(r + 3)/4
Suppose 9*x = x + 1376. Let f = -856/5 + x. Solve 0 - 2/5*l + f*l**2 - 2/5*l**3 = 0.
0, 1
Factor 0 + 9/7*k**2 + 3/7*k**3 + 6/7*k.
3*k*(k + 1)*(k + 2)/7
Determine w so that 1/7*w**2 + 20/7*w - 44/7 = 0.
-22, 2
Let t(f) be the second derivative of 8/3*f**3 - 3/5*f**5 - 2/15*f**6 + 14*f + 0*f**4 + 0 + 0*f**2. Suppose t(p) = 0. Calculate p.
-2, 0, 1
Solve -735*g**2 + 2485*g**2 - 2*g**3 - 843*g**2 - 733*g**2 = 0.
0, 87
Suppose 2*j = -2*j + 112. Let c = -26 + j. What is v in 0 - 2/3*v**3 - 2/3*v - 4/3*v**c = 0?
-1, 0
Let 0 - 20/13*c + 2/13*c**2 = 0. What is c?
0, 10
Let v(t) be the third derivative of 1/210*t**7 + t**2 - 1/60*t**6 + 1/60*t**5 + 0*t + 0*t**3 + 0 + 0*t**4. Find h, given that v(h) = 0.
0, 1
What is y in -5/4*y**3 + 705/2*y**2 + 1038230 - 33135*y = 0?
94
Let g(r) be the second derivative of 0 + 1/27*r**4 + 1/90*r**5 - 1/27*r**3 - 2/9*r**2 - 11*r. Factor g(t).
2*(t - 1)*(t + 1)*(t + 2)/9
Let i(y) = -651*y + 3. Let o be i(0). Solve 0*n + 3/2*n**5 + 0*n**o + 0*n**2 + 0 + 3/2*n**4 = 0.
-1, 0
Let j be 18/81 - (-2)/(-90). Let p(x) be the third derivative of -j*x**3 + 0 - 1/100*x**5 + 2*x**2 - 3/40*x**4 + 0*x. Solve p(a) = 0.
-2, -1
Let w(h) be the second derivative of 65*h**5/22 + 95*h**4/22 + 24*h**3/11 + 4*h**2/11 - 77*h. What is y in w(y) = 0?
-2/5, -1/13
Let q(p) be the first derivative of p**8/3080 - p**7/770 + p**5/110 - p**4/44 - p**3 - 5. Let k(l) be the third derivative of q(l). What is v in k(v) = 0?
-1, 1
Let j(l) be the second derivative of -l**4/54 - 4*l**3/27 - l**2/3 - 47*l. Factor j(k).
-2*(k + 1)*(k + 3)/9
Let o(w) be the first derivative of -w**7/840 - w**6/180 - w**5/120 + 28*w**3/3 - 28. Let u(c) be the third derivative of o(c). Factor u(d).
-d*(d + 1)**2
What is k in -45*k + 50*k**3 - k**4 + 16*k**4 + 152*k**5 - 5*k**4 + 90 - 157*k**5 - 100*k**2 = 0?
-3, -1, 1, 2, 3
Let k = 25 + -22. Suppose 0*u = k*u. Let 4*a**3 + u*a**3 - 5*a**3 + 9*a**2 - a**2 - 16*a = 0. What is a?
0, 4
Factor -1/4*s**5 + 1/2*s**4 - 1/2*s**2 + 0*s**3 + 0 + 1/4*s.
-s*(s - 1)**3*(s + 1)/4
Let j = -260 + 260. Let h(q) be the first derivative of -8/5*q**2 + j*q - 3/5*q**4 + 18/25*q**5 - 8/3*q**3 - 4. Determine o so that h(o) = 0.
-2/3, 0, 2
Factor -5*l**2 - 5*l - 88*l**3 + l**2 + 87*l**3 - 14 + 24*l.
-(l - 2)*(l - 1)*(l + 7)
Let z(l) be the third derivative of -l**6/1020 - 4*l**5/255 - l**4/17 - 2*l**2 - 27*l. Factor z(c).
-2*c*(c + 2)*(c + 6)/17
Let a(z) be the third derivative of 0*z - 1/12*z**4 - 3*z**2 + 0 + 2/9*z**3 + 1/90*z**5. Factor a(b).
2*(b - 2)*(b - 1)/3
Let q be (3 - 1 - 0)/((-16)/(-136)). Suppose 25*c**2 - 16*c**3 - 17*c**2 + q*c**3 = 0. Calculate c.
-8, 0
Suppose -7 + 7 = -4*g. Let x(v) be the second derivative of 1/45*v**5 + 9*v + 0*v**2 + 1/63*v**7 + 1/27*v**6 + 0 + g*v**4 + 0*v**3. Solve x(w) = 0 for w.
-1, -2/3, 0
Let n(g) = g**3 + 7*g**2 + 4*g + 3. Let t be n(-3). Let s be (-3)/t*-3 - (-2)/(-12). Let 0*y**2 + 0 + s*y**4 + 0*y - 1/6*y**3 = 0. What is y?
0, 1
Let k(l) be the third derivative of -l**8/1008 - 2*l**7/315 - l**6/120 - 3*l**2 + 26. Factor k(f).
-f**3*(f + 1)*(f + 3)/3
Factor -z - 1/5*z**2 - 6/5.
-(z + 2)*(z + 3)/5
Let d be (1 + 1)/(13/13). Let t = d + 0. Suppose 3*b**2 + 4*b - 2*b**t + b**3 - 9*b**3 + 3*b**2 = 0. Calculate b.
-1/2, 0, 1
Let v = -46 - -54. Let h(y) = -12*y**2 - 80*y + 72. Let j(t) = -t - 1. Let o(w) = v*j(w) + h(w). Factor o(x).
-4*(x + 8)*(3*x - 2)
Let f(v) be the third derivative of -v**7/280 + 11*v**6/320 - 13*v**5/160 + v**4/16 - 302*v**2. Determine r, given that f(r) = 0.
0, 1/2, 1, 4
Let o(z) = 2*z**3 + 18*z**2 - z - 9. Let b be o(-9). Let t(s) be the second derivative of 1/4*s**2 - 1/48*s**4 + b + 1/24*s**3 - 3*s. Find h such that t(h) = 0.
-1, 2
Suppose -5*t = 2*s - 55, 2*s - t = 8 + 17. What is j in 6*j**3 + 10*j**2 + 5*j**2 + 3*j**4 - 6*j - 3 - s*j**2 = 0?
-1, 1
Let m(y) be the third derivative of 1/40*y**6 - 1/20*y**5 - 1/16*y**4 + 34*y**2 + 1/4*y**3 + 1/140*y**7 + 0 - 1/224*y**8 + 0*y. Factor m(q).
-3*(q - 1)**3*(q + 1)**2/2
Let f be (-3)/12*1 + (-2235)/12. Let q = 190 + f. Solve -2*i + 2*i**2 + 3/2*i**5 + 0 + q*i**3 - 5*i**4 = 0.
-2/3, 0, 1, 2
Let t be 2/(-9)*1512/(-294). Factor t*r + 12/7*r**2 + 0 - 4/7*r**4 + 0*r**3.
-4*r*(r - 2)*(r + 1)**2/7
Determine c, given that 0 - 6*c + 3*c**4 + 0 - 34751*c**3 - 3*c**2 + 34757*c**3 = 0.
-2, -1, 0, 1
Let j(t) be the second derivative of t**7/840 - t**6/80 + t**5/20 - 2*t**4/3 - 12*t. Let h(w) be the third derivative of j(w). Suppose h(m) = 0. What is m?
1, 2
Let n(x) = -2*x**2 - 22*x + 9. Let a(l) = -l**2 - 11*l + 6. Let h(b) = 5*a(b) - 2*n(b). Find t such that h(t) = 0.
-12, 1
Let m(b) = b**4 + b**3 + b**2 + 1. Let h(y) = -3*y**5 + 9*y**4 + 42*y**3 - 45*y**2 - 84*y + 69. Let c(w) = h(w) + 3*m(w). Solve c(z) = 0 for z.
-2, 1, 6
Let d(z) be the first derivative of -72*z**5/5 + 5*z**4 + 44*z**3/3 + 4*z**2 - 109. Let d(s) = 0. Calculate s.
-1/2, -2/9, 0, 1
Factor 23*c**4 + 2*c**5 - 17*c**4 - 30*c**3 + 4*c**3 + 34*c**2 - 12*c - 4*c**3.
2*c*(c - 1)**3*(c + 6)
Let m = -51 + 42. Let y be 0 + m/(90/(-4)). Suppose 0*x - 2/5 + y*x**2 = 0. What is x?
-1, 1
Let m(d) be the first derivative of -d**7/280 + d**5/40 + 40*d**3/3 - 23. Let i(q) be the third derivative of m(q). Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let b(y) = 9*y**2 + 66*y + 70. Let i(m) = 2*m**2 + 16*m + 17. Let w(v) = 6*b(v) - 26*i(v). Factor w(s).
2*(s - 11)*(s + 1)
Let h = 193/59 + -327/118. Find m such that -h*m**2 + 0 - 3/2*m = 0.
-3, 0
Determine u, given that -1520/3*u**2 + 376/3*u**3 - 34/3*u**4 - 1568/3 + 2576/3*u + 1/3*u**5 = 0.
2, 14
Let x(o) be the third derivative of 34*o**7/105 - 10*o**6/3 + 64*o**5/5 - 56*o**4/3 - 32*o**3/3 + 3*o**2 + 22. Factor x(h).
4*(h - 2)**3*(17*h + 2)
Suppose -16*u = -21*u + 90. Suppose 8*t - u = 5*t + 3*g, 28 = 5*t - 4*g. Solve 0 - 1/3*i**2 - 5/3*i**t - 8/3*i**3 + 2/3*i = 0 for i.
-1, 0, 2/5
Suppose 9*b - 4*b + 3*x = 0, -5*x = 0. Let h be ((-3)/(-9))/((-5)/(-12)) + b. Find w, given that h*w**2 + 0 + 0*w - 2/5*w**3 = 0.
0, 2
Let v(p) be the first derivative of -2*p**3/3 - 3*p**2 + 8*p + 32. What is c in v(c) = 0?
-4, 1
Suppose 4*u = 3*j, 5*u + 1 = -j + 20. Find p, given that -10*p**3 - 3*p - 3*p**4 - u + 13*p + 8*p**4 - 2 = 0.
-1, 1
Suppose -22/17*o**3 + 730/17*o**2 + 128/17 - 836/17*o = 0. Calculate o.
2/11, 1, 32
Let n(j) = -5*j**4 - 120*j**3 + 384*j**2 - 394*j + 129. Let g(o) = 10*o**4 + 240*o**3 - 769*o**2 + 789*o - 259. Let u(d) = -6*g(d) - 11*n(d). Factor u(c).
-5*(c - 1)**3*(c + 27)
Factor 20/9*d**4 + 16/3*d**2 + 0*d + 0 - 2/9*d**5 - 56/9*d**3.
-2*d**2*(d - 6)*(d - 2)**2/9
Factor 112*n + 7*n**3 - 36*n**2 - 20*n**3 - 17*n**3 + 32*n**3.
2*n*(n - 14)*(n - 4)
Let f(i) be the first derivative of -i**4/4 + 5*i**3