 the first derivative of -3*y**5 + 51*y**4/4 - 21*y**3 + 33*y**2/2 - 6*y + 32. Let w(v) = 0. What is v?
2/5, 1
Let b be (-6)/16 - (-390)/528. Let l be (6/(-8))/((-225)/(-120))*-5. Find i such that 6/11*i + 0*i**l + b - 2/11*i**3 = 0.
-1, 2
Suppose -157 + 277 = 21*b + 15. Determine h, given that 0 + 4/3*h**b + 0*h**2 - 1/3*h**3 + h**4 + 0*h = 0.
-1, 0, 1/4
Suppose 38*d = 43*d - 40. Suppose -48 = -d*f - 16. Solve 8/5*g**f + 0 + 12/5*g**3 + 8/5*g**2 + 2/5*g**5 + 2/5*g = 0 for g.
-1, 0
Let n be (-1 - -2)/((-4)/(-8)). Let k be 5 + (-3)/2*n. Factor 45*a**k + 8*a**2 + 30*a**3 + 5*a**4 + 60*a + 20 + 12*a**2.
5*(a + 1)**2*(a + 2)**2
Factor 35*z + 20 + 15*z**2 - 10*z**2 + 10.
5*(z + 1)*(z + 6)
Suppose 20*b = 16*b + 20. Let q(z) be the third derivative of 1/60*z**b + 1/18*z**3 + 1/360*z**6 + 0 + 1/24*z**4 + 3*z**2 + 0*z. Factor q(p).
(p + 1)**3/3
Let h(c) be the second derivative of -25*c**5/4 - 200*c**4/3 - 305*c**3/6 - 15*c**2 + 35*c + 4. Find y such that h(y) = 0.
-6, -1/5
Let m = -17427/224204 - -4/2437. Let d = 871/644 - m. Factor -2/7 - 20/7*h**2 + d*h + 2/7*h**5 - 10/7*h**4 + 20/7*h**3.
2*(h - 1)**5/7
Factor 0*w + 0 - 8/5*w**3 + 6/5*w**2 + 2/5*w**4.
2*w**2*(w - 3)*(w - 1)/5
Let p = -10976 + 10978. Suppose -3/5 + 2/5*o + 1/5*o**p = 0. Calculate o.
-3, 1
Let s = -20 - -22. Let a(y) = y**5 + y**4 + y**2 + y. Let f(k) = 2*k**4 + 2*k**3 - k**2 + 1. Let w(l) = s*f(l) - 2*a(l). Factor w(z).
-2*(z - 1)**3*(z + 1)**2
Let l(g) be the third derivative of g**5/100 + 23*g**4/10 + 91*g**3/10 - 9*g**2. Let l(z) = 0. Calculate z.
-91, -1
Let d = 489 - 278. Let o = d - 211. Solve 0*a**2 + 0*a**3 + 0*a - 3/2*a**4 + o = 0 for a.
0
Let q = 59 - 43. Factor 8*c - 7*c + 7*c + 36*c**2 + q*c**3.
4*c*(c + 2)*(4*c + 1)
Let f(r) be the second derivative of -r**7/336 + 17*r**6/480 - 3*r**5/40 - r**4/2 + 11*r. Let q(c) be the third derivative of f(c). Factor q(p).
-3*(p - 3)*(5*p - 2)/2
Let v = 568/663 - 42/221. Solve v - 2/9*t**2 - 4/9*t = 0 for t.
-3, 1
Let h be 2 - -4 - 16/8. Let v be (-116)/40 + h + (-12)/20. Solve -v + l - 1/2*l**2 = 0.
1
Let m(j) be the first derivative of -8*j + j**4 - 25 - 4/5*j**5 - 2*j**2 + 4*j**3. Factor m(l).
-4*(l - 2)*(l - 1)*(l + 1)**2
Find y, given that -331*y**2 - 40*y**3 + 662*y**2 + 2*y**4 - 331*y**2 = 0.
0, 20
Let j(m) = -4*m**3 - 4*m**2 + 11*m. Let n(w) = 28*w**3 - 14*w**3 - 13*w**3 - 3*w**2 - 2*w + 4*w**2. Let t(s) = -2*j(s) - 11*n(s). Let t(x) = 0. Calculate x.
-1, 0
Let b = 1608 - 8026/5. Factor 4/5 - b*w - 4/5*w**3 - 4/5*w**4 + 2/5*w**5 + 16/5*w**2.
2*(w - 1)**4*(w + 2)/5
Let q = -155 + 150. Let w be (q - -2) + (-4 - 309/(-39)). Find x, given that -w + 34/13*x - 10/13*x**2 = 0.
2/5, 3
Suppose -2 = -260*k + 261*k. Let t be 36/315 - k/7. Factor t*j**3 - 2/5*j - 6/5 + 6/5*j**2.
2*(j - 1)*(j + 1)*(j + 3)/5
Let d = -1651 + 8258/5. Determine s so that 1/5*s**2 + 2/5*s - d = 0.
-3, 1
Let p be (-6 + 15)*(-35)/(-63) + (-114)/24. Factor 0*a - 1 + p*a**3 + 3/4*a**2.
(a - 1)*(a + 2)**2/4
Factor 18*d**4 - d**2 - 6*d**4 - 11*d**4 - 2*d**2 - d**2 - 3*d**3.
d**2*(d - 4)*(d + 1)
Factor -13/6*c - 5/6*c**2 + 1/6*c**3 - 7/6.
(c - 7)*(c + 1)**2/6
Let o = 1 - -33. Suppose 19 = -5*u + o. Let l(p) = -9*p**2 - 12*p - 4. Let i(d) = d**2 + d. Let w(j) = u*l(j) + 24*i(j). Solve w(s) = 0 for s.
-2
Let f(x) = -44*x**2 + 480*x + 332. Let s(t) = 4*t**2 - 44*t - 30. Let i(q) = -3*f(q) - 32*s(q). Suppose i(r) = 0. Calculate r.
-1, 9
What is x in 1/5*x**3 - 42/5*x**2 + 82/5 + 39/5*x = 0?
-1, 2, 41
Let y be -3 - ((-75)/84)/(((-75)/20)/(-15)). Factor -32/7*k**2 + 0*k + y*k**4 + 0 - 8/7*k**3.
4*k**2*(k - 4)*(k + 2)/7
Let g = 24906 - 24902. Suppose g + 2/3*r**3 - 22/3*r + 8/3*r**2 = 0. What is r?
-6, 1
Let q(f) be the third derivative of -5/16*f**4 + 0 - 42*f**2 + 0*f + 25/6*f**3 - 1/24*f**5. Solve q(r) = 0.
-5, 2
Let m(b) = -b**4 + b**3 + b**2 + b + 6. Let u(s) = 4*s**5 + 256*s**4 + 648*s**3 + 640*s**2 + 196*s - 144. Let v(z) = -24*m(z) - u(z). Solve v(j) = 0.
-55, -1, 0
Suppose -r = -5, -17 = 3*p + p - 5*r. Factor 2*m**3 - 5*m**3 - 2*m**2 - 9*m - 7*m**p + 48 - 51.
-3*(m + 1)**3
Suppose 3*t = m + 13, 2 + 6 = 4*m. Let b(f) be the third derivative of -2*f**2 - 1/45*f**t + 1/360*f**6 + 0*f + 1/18*f**4 + 0 + 0*f**3. Let b(w) = 0. What is w?
0, 2
Factor 4/9*n**3 - 4*n**2 - 12 + 12*n.
4*(n - 3)**3/9
Let d(w) = 3*w**3 - 84*w**2 + w - 25. Let q be d(28). Let x(c) be the second derivative of 0 + 1/90*c**5 + 0*c**2 + 0*c**q + 4*c + 1/18*c**4. Factor x(z).
2*z**2*(z + 3)/9
Let w(d) be the second derivative of -d**5/20 - 5*d**4/3 - 17*d**3/2 - d + 224. Solve w(z) = 0.
-17, -3, 0
Let a(x) = x**2 - 14*x + 3. Let b be a(14). Factor i**3 + 39 - 39 - b*i + 0*i**3 + 2*i**2.
i*(i - 1)*(i + 3)
Let f = -6104 - -6106. Factor -4/3*n**f + 8*n - 12.
-4*(n - 3)**2/3
Let u = -1930 - -13518/7. What is r in u*r**2 + 2/7 + 10/7*r = 0?
-1, -1/4
Let c(u) = -u**2 - 10*u + 15. Let i be c(-11). Factor -6*g**2 - 18*g**3 + g**5 - 4*g**5 - 10*g**4 - 6*g**2 - 3*g - 2*g**i.
-3*g*(g + 1)**4
Let g(f) = f + 9. Let s be g(-6). Let w(d) = d. Let l(x) = -5*x**3 - 30*x**2 - 63*x - 40. Let j(p) = s*w(p) + l(p). Determine z so that j(z) = 0.
-2
Let h(y) be the first derivative of -y**7/2240 + y**6/480 + 3*y**5/320 - 34*y**3/3 - 5. Let c(w) be the third derivative of h(w). Find p, given that c(p) = 0.
-1, 0, 3
Let l be (-2)/12 + (-74)/(-12). Let a be (12 + -5)*l/7. What is u in 31*u + 2*u**2 + u**2 + 2*u**2 - a*u = 0?
-5, 0
Suppose -2*m = -5*k + 18, 4*k - m - 20 = -5*m. Solve 0*y**3 - 5*y**2 - 4*y + k*y - 5*y**3 = 0.
-1, 0
Find v such that -16/5 + 4*v - 4/5*v**2 = 0.
1, 4
Let u(l) be the first derivative of -l**4/2 - 32*l**3/5 - 21*l**2 + 20*l + 2. Let u(n) = 0. What is n?
-5, 2/5
Let f(z) be the second derivative of -z**7/63 - 14*z**6/45 + 34*z**5/15 - 4*z**4 + 108*z. Factor f(b).
-2*b**2*(b - 2)**2*(b + 18)/3
Let z(a) = a**3 - 2*a**2 - 13*a. Let g be z(5). Let k = 34/3 - g. Solve -k*t**2 - 8/3*t**4 - 10/3*t**3 + 0 - 2/3*t**5 + 0*t = 0 for t.
-2, -1, 0
Suppose -380 = 3*n + 4*y - 382, 0 = 5*n - 3*y - 13. Factor -1/11*q**3 + 0 + 2/11*q + 1/11*q**n.
-q*(q - 2)*(q + 1)/11
Suppose -2*v - 148 = -152. Let y(f) be the second derivative of 0*f**4 - 1/18*f**6 + 1/30*f**5 + 0*f**3 - 3*f + 0*f**v + 0 - 1/18*f**7. Factor y(z).
-z**3*(z + 1)*(7*z - 2)/3
Let q = -10 + 10. Suppose -2*y - 6*b + 24 = -2*b, 4*y - 4*b = 0. Find i such that 0*i**2 - y*i + i**2 + q*i + 4 = 0.
2
Determine w, given that -2/3*w**4 + 2/3*w**3 - 4/3 + 2*w**2 - 2/3*w = 0.
-1, 1, 2
Solve 2/9*f**3 + 0 + 22/9*f**2 - 8/3*f = 0 for f.
-12, 0, 1
Let g = -22507699/126 - -178634. Let s = g - -2/63. What is b in s*b**2 + 0*b - 3/2 = 0?
-1, 1
Let d = 7 - 0. Let c = -213 - -217. Let -4*j**2 + 9*j**3 - 17*j**c + d*j**4 - 23*j**3 = 0. Calculate j.
-1, -2/5, 0
Let l(d) be the first derivative of -5*d**3/3 + 15*d**2/2 - 10*d + 97. Factor l(k).
-5*(k - 2)*(k - 1)
Let c(j) = -16*j - 94. Let g be c(-6). Let r(d) be the first derivative of -10 + 0*d - 2/3*d**6 + g*d**2 + 0*d**4 - 8/5*d**5 + 8/3*d**3. Factor r(t).
-4*t*(t - 1)*(t + 1)**3
Let a(f) be the third derivative of f**5/390 - 2*f**4/13 + 48*f**3/13 - 48*f**2. Solve a(g) = 0 for g.
12
Let 2/7*a**4 + 2*a + 0 - 2*a**3 - 2/7*a**2 = 0. What is a?
-1, 0, 1, 7
Let p be 24/(-546780)*(-1 + 17513). Let v = 2/3505 - p. Factor -v*d - 4/13 - 6/13*d**2.
-2*(d + 1)*(3*d + 2)/13
Factor 1/4*v**2 + 41/4*v + 10.
(v + 1)*(v + 40)/4
Let w = 12/11 + -10/11. Factor -4/11*n**2 + 0*n + 2/11*n**4 + w + 0*n**3.
2*(n - 1)**2*(n + 1)**2/11
Let t(u) = 17*u**3 + 37*u**2 + 23*u + 3. Let p(x) = -8*x**3 - 18*x**2 - 12*x - 2. Let n be (-4)/8*-2*3. Let b(q) = n*t(q) + 7*p(q). Factor b(y).
-5*(y + 1)**3
Let s(h) be the second derivative of -h**4/12 - 73*h**3 - 47961*h**2/2 + 340*h - 2. Factor s(f).
-(f + 219)**2
Suppose -4*z + 18 = 2. Factor 18*m**2 + z*m - 30*m**2 + 2*m**3 + 18*m**2.
2*m*(m + 1)*(m + 2)
Let c(l) be the third derivative of -l**7/560 + l**6/32 - 33*l**5/160 + 5*l**4/8 - l**3 - 30*l**2. Suppose c(k) = 0. What is k?
1, 4
Let c(h) be the third derivative of -h**5/90 - h**4/36 - 30*h**2. Factor c(b).
-2*b*(b + 1)/3
Let r = 2310 + -4595/2. Let r*g**2 + 0*g**3 - 10 + 0*g - 5/2*g**4 = 0. What is g?
-2, -1, 1, 2
Let u be 2/3 - (-276)/(-414). Suppose 0*v**3 + u*v**2 + 0*v + 0 - 2/5*v**4 = 0. Calculate v.
0
Let m(l) be the second derivative of l**5 + 0