, 1, 2
Let w be 366/(-250) - (-54)/36. Let l = 1191/250 + w. Find p such that -36/5*p - 18/5*p**2 - l - 3/5*p**3 = 0.
-2
Let p(b) be the third derivative of -b**7/525 + 7*b**6/50 - 397*b**5/150 - 77*b**4/5 - 484*b**3/15 - 181*b**2. Determine i so that p(i) = 0.
-1, 22
Let v(m) be the first derivative of -m**6/3 - 28*m**5/5 - 13*m**4/2 + 902. Factor v(d).
-2*d**3*(d + 1)*(d + 13)
Let s be 20 - 5/((-20)/(-16)). Factor 0*r**2 + 5*r**2 - 2*r**2 + r**2 - s*r.
4*r*(r - 4)
Let m(b) be the second derivative of b**7/147 - 8*b**6/105 - b**5/70 + 4*b**4/21 + 3*b + 4. Solve m(s) = 0 for s.
-1, 0, 1, 8
Let k(p) be the first derivative of -2*p**3 - 21*p**2/10 + 9*p/5 + 2. Find t such that k(t) = 0.
-1, 3/10
Let m be ((-5)/14)/(340/(-238)). Factor -1/4*f**2 + 0 - 1/2*f + m*f**3.
f*(f - 2)*(f + 1)/4
Let b(g) be the second derivative of 1/7*g**4 - 12*g + 0 - 2/7*g**3 + 0*g**2 - 3/140*g**5. Factor b(j).
-3*j*(j - 2)**2/7
Let i(c) be the first derivative of -5*c**6/6 + 11*c**5 - 115*c**4/2 + 460*c**3/3 - 220*c**2 + 160*c - 8. Determine l, given that i(l) = 0.
1, 2, 4
Let b(t) be the second derivative of -3*t**6/40 - 21*t**5/40 - 13*t**4/48 + 7*t**3/2 - 9*t**2/2 - 12*t. Determine y, given that b(y) = 0.
-3, 2/3
Let m be 5/(-6) - (-9177)/126. Factor -50*y**3 + y - m*y - 120*y**2 - 39*y - 40 - 5*y**4 + 5.
-5*(y + 1)**3*(y + 7)
Let u(q) be the third derivative of 1/315*q**7 - 1/1008*q**8 + 0*q**3 + 0*q**6 + 1/72*q**4 + 0*q - 1/90*q**5 + 0 + 7*q**2. Factor u(f).
-f*(f - 1)**3*(f + 1)/3
Suppose 9/8*n**2 - 93/8*n - 45/2 = 0. Calculate n.
-5/3, 12
Let g be (0/1 - 1587/(-483)) + -3. Determine s so that g*s**2 + 0*s + 2/7*s**3 + 0 = 0.
-1, 0
Let b(y) be the first derivative of 5*y**3/3 - 45*y**2/2 - 260*y + 255. Factor b(c).
5*(c - 13)*(c + 4)
Let c(b) be the third derivative of 1/20*b**5 + 0*b + 34*b**2 + 0 + 0*b**4 + 0*b**3 + 1/20*b**6. Factor c(r).
3*r**2*(2*r + 1)
Let j(h) be the first derivative of -h**5/20 + 5*h**4/16 - h**3/2 - h**2/2 + 2*h + 597. Factor j(s).
-(s - 2)**3*(s + 1)/4
Let m(i) be the third derivative of 22*i**2 + 0*i - 1/720*i**6 + 1/18*i**3 + 1/1260*i**7 - 1/120*i**5 + 1/144*i**4 + 0. Suppose m(n) = 0. Calculate n.
-1, 1, 2
Solve -10/9*t + 4/3 - 2/9*t**2 = 0.
-6, 1
Factor 4/7*v**3 - 20/7*v**2 - 4/7*v + 20/7.
4*(v - 5)*(v - 1)*(v + 1)/7
Let x = 1 - -1. Suppose 11 = -0*t + 2*t - 5*d, -2*t + x*d + 8 = 0. Factor 12*c**t - 2 - 4 + 6 + 3*c**4 + 12*c**2.
3*c**2*(c + 2)**2
Let f(b) be the second derivative of b**5/30 + 7*b**4/9 - b**3/9 - 14*b**2/3 - b - 21. Factor f(g).
2*(g - 1)*(g + 1)*(g + 14)/3
Suppose -5*k - 54 = 61. Let i = k + 26. Solve -2 + 4*m + 8*m + i*m**2 + 14 = 0 for m.
-2
Let o be 10/42*(-1750)/(-75). Solve -10/3*w - 2/9*w**3 - 2*w**2 + o = 0.
-5, 1
Let i(a) be the third derivative of a**6/60 - a**5/6 + a**4/2 + 3*a**2 - 117. Let i(j) = 0. Calculate j.
0, 2, 3
Let y(g) = -g**5 - 25*g**4 - 31*g**3 + 24*g**2 + 58*g - 5. Let d(r) = r**5 + 37*r**4 + 46*r**3 - 36*r**2 - 88*r + 8. Let v(a) = 5*d(a) + 8*y(a). Solve v(j) = 0.
-2, 0, 1
Solve -3/5*j**3 - 867/5 - 969/5*j - 21*j**2 = 0.
-17, -1
Let m(u) be the third derivative of u**7/1260 + 7*u**6/180 + 49*u**5/60 - 7*u**4/8 + 16*u**2. Let h(o) be the second derivative of m(o). Factor h(z).
2*(z + 7)**2
Let j be 1 + -9 + 13 + (-7)/7. Suppose 0 + 15/2*z**2 - 15/2*z**3 - 3/2*z - 15/2*z**j + 9*z**5 = 0. Calculate z.
-1, 0, 1/3, 1/2, 1
Let x(l) be the first derivative of 2*l**5/45 - 14*l**4/3 + 3356*l**3/27 + 1204*l**2/3 + 3698*l/9 + 144. Find w, given that x(w) = 0.
-1, 43
Let d = -15 - -18. Let 2*x**2 - 5*x - d*x - 8*x - 16 - 6*x**2 = 0. Calculate x.
-2
Let a(k) be the third derivative of 0*k**4 + 1/10*k**5 + 0*k**3 + 0*k - 1/40*k**6 + 0 - 45*k**2. Factor a(q).
-3*q**2*(q - 2)
Suppose 14*x - 11*x - 174 = 0. Let b = x - 56. Let -2/5 + 1/5*d**b + 1/5*d = 0. What is d?
-2, 1
Let i = 16295/2 - 8147. Suppose 1/2*t - 1/2*t**4 + 0 - i*t**3 + 1/2*t**2 = 0. Calculate t.
-1, 0, 1
Let x(p) be the first derivative of 25*p**6/8 + 45*p**5/8 + 15*p**4/4 + p**3 - 18*p - 28. Let n(y) be the first derivative of x(y). Factor n(d).
3*d*(5*d + 2)**3/4
Let p = 34598 + -34596. Let 2/13*q**p - 18/13*q - 20/13 = 0. Calculate q.
-1, 10
Let v = -4 + 7. Let z be v/5*(-40)/(-8). Factor 2*f**3 - 16 - 32*f + 3*f**3 - 9*f**z - 20*f**2.
-4*(f + 1)*(f + 2)**2
Suppose 34/11 - 2/11*r - 34/11*r**2 + 2/11*r**3 = 0. Calculate r.
-1, 1, 17
Factor -f - 32*f**2 + 12 - 2*f - 5*f.
-4*(2*f - 1)*(4*f + 3)
Let q(a) be the first derivative of 0*a**4 - 18/5*a**2 + 2/25*a**5 - 22/15*a**3 - 55 - 16/5*a. Let q(f) = 0. Calculate f.
-2, -1, 4
Let j(z) be the first derivative of -4*z**5/5 - 15*z**4 - 248*z**3/3 + 24*z**2 + 1440*z - 242. Solve j(h) = 0.
-6, -5, 2
Let k be (-12)/(-2)*(-6)/9. Let p = 13 + k. Solve -12*q**3 - 12*q**4 - p*q**2 + q**4 + 8*q**4 = 0.
-3, -1, 0
Let d(a) be the first derivative of 48 + 9*a**3 - 27*a - 8*a**3 - 22 - 12*a**2. Solve d(z) = 0 for z.
-1, 9
Let j(i) be the first derivative of -i**6/270 - i**5/45 - i**4/18 - 2*i**3/27 - i**2/18 - 2*i - 18. Let p(c) be the first derivative of j(c). Factor p(d).
-(d + 1)**4/9
Suppose -11*v + 5*v + 360 = 0. Determine n, given that 24*n**3 - 11*n**2 - v*n**3 - 64*n + 4*n**4 + 14*n**2 + 93*n**2 = 0.
0, 1, 4
Find p, given that p**3 - 16*p**4 + 3*p**5 - 5*p**3 + p**5 - 7*p**2 + 33*p**2 - 10*p**2 = 0.
-1, 0, 1, 4
Let u(g) be the third derivative of g**5/105 + g**4/6 - 24*g**2. Let u(w) = 0. Calculate w.
-7, 0
Factor 300*a**2 + 45*a**4 + 43*a**4 - 83*a**4 + 65*a**3 + 560*a + 320.
5*(a + 1)*(a + 4)**3
Let v(u) = 2*u**4 - 3*u**3 - 4*u**2 + 2*u + 1. Let w(g) = -g**4 - g**3. Let d(y) = -3*v(y) + 3*w(y). Suppose d(x) = 0. Calculate x.
-1, -1/3, 1
Let r(l) be the second derivative of -35/12*l**4 + 0 + 0*l**2 - 15/4*l**5 - 3*l - 5/6*l**3 - 3/2*l**6. Let r(y) = 0. What is y?
-1, -1/3, 0
Let n be 16/(1 - 9) - (9 + -14). Suppose -1/2*v**4 + 0 - 5/2*v**n + 0*v - 3/2*v**2 + 1/2*v**5 = 0. What is v?
-1, 0, 3
Determine l so that -248/17*l**4 - 2042/17*l**3 + 0 - 1860/17*l**2 - 450/17*l - 8/17*l**5 = 0.
-15, -1/2, 0
Let h(j) = j**3 + j + 1. Let b(a) = -a**5 - 18*a**4 - 56*a**3 - 46*a**2 - 23*a - 8. Let n(x) = -3*b(x) - 24*h(x). Factor n(m).
3*m*(m + 1)**3*(m + 15)
Let m(r) = -2*r**5 + r**4 + r**3 + r**2. Let x(i) = -10*i**5 + 3*i**4 + 11*i**3 + 11*i**2 - i - 2. Let y(l) = -4*m(l) + x(l). Let y(j) = 0. Calculate j.
-1, 1/2, 2
Let o(f) = 5*f**2 + 56*f + 792. Let g(b) = -14*b**2 - 168*b - 2374. Let x(s) = 4*g(s) + 11*o(s). Find i, given that x(i) = 0.
-28
Let l(q) be the first derivative of -q**6/33 - 12*q**5/55 - q**4/11 + 24*q**3/11 + 27*q**2/11 - 108*q/11 - 122. Find v such that l(v) = 0.
-3, 1, 2
Let j(p) be the first derivative of -6*p**2 - 14*p**3 - 49/4*p**4 + 8*p - 10. Let a(x) be the first derivative of j(x). Factor a(v).
-3*(7*v + 2)**2
Let z be (3/12)/((-3)/(-24)). Solve 3*f**4 + 0*f**5 + z*f**5 - f**4 + 0*f**5 - 4*f**3 = 0.
-2, 0, 1
Let v(u) be the first derivative of u**7/420 - u**6/60 + u**5/20 - u**4/12 + 7*u**3/3 - 3. Let a(p) be the third derivative of v(p). Factor a(f).
2*(f - 1)**3
Suppose -100/7 - 160/7*b**2 + 254/7*b - 44/7*b**3 - 2/7*b**5 + 52/7*b**4 = 0. What is b?
-2, 1, 25
Let f(i) be the first derivative of 2*i**4/5 - 26*i**3/15 + 11*i**2/5 - 4*i/5 + 116. What is m in f(m) = 0?
1/4, 1, 2
Let o = 41/22 + -4/11. Suppose -5*b = -2*i - 24, -2*b + 7*b = 4*i + 28. Solve b*v + o*v**2 + 2 = 0 for v.
-2, -2/3
Let q(m) = m**3 - m**2 - m. Let y(d) = d**3 + 102*d**2 - 256*d + 88. Let f(c) = 4*q(c) + y(c). Factor f(p).
(p - 2)*(p + 22)*(5*p - 2)
Let u(s) be the first derivative of 4*s**3/3 + s**2 - 8*s - 28. Let w(c) = -4*c**2 - c + 8. Let t(y) = -5*u(y) - 6*w(y). Solve t(n) = 0.
-1, 2
Let a(i) be the third derivative of 0*i + 0*i**3 + 7*i**2 + 0*i**4 + 7/300*i**6 + 0 + 29/525*i**7 - 1/25*i**5 + 1/70*i**8. What is b in a(b) = 0?
-2, -3/4, 0, 1/3
Let y(z) be the first derivative of 0*z**3 + 2/7*z**4 + 4/7*z - 4/7*z**2 - 4/35*z**5 + 3. Let y(r) = 0. What is r?
-1, 1
Let x(t) = 2*t**3 + t + 1. Let j(h) = -449*h**3 - 798*h**2 + 160*h - 12. Let m(z) = -j(z) - 4*x(z). Find w such that m(w) = 0.
-2, 2/21
Factor -14*r**5 + 23*r + 22*r - 60*r**2 - 21*r**5 - 10*r**3 + 40*r**5 + 20*r**4.
5*r*(r - 1)**2*(r + 3)**2
Let 3226 - 12600*s - 71*s**2 + 5*s**4 + 6901*s**2 - 238*s**3 + 2899 - 122*s**3 = 0. What is s?
1, 35
