ve r*t**2 - 1/3*t + 0 = 0 for t.
0, 1
Let i(b) be the first derivative of -b**6/420 - 2*b**5/105 - b**4/21 - 11*b**2/2 - 16. Let o(m) be the second derivative of i(m). Let o(r) = 0. What is r?
-2, 0
Suppose 0 = -9*z + 12*z + 15. Let o be z/(-150)*3*4. Determine f, given that -2/15*f**5 + 0*f**4 + 4/15*f**2 - o*f + 8/15*f**3 - 4/15 = 0.
-1, 1, 2
Let m(r) be the second derivative of 1/30*r**5 + 8*r - 1/18*r**6 - 1/42*r**7 + 1/18*r**3 - 1/6*r**2 + 1/6*r**4 + 0. Suppose m(n) = 0. What is n?
-1, 1/3, 1
Factor -40/11 + 16/11*j**2 + 2*j + 2/11*j**3.
2*(j - 1)*(j + 4)*(j + 5)/11
Let d(j) be the second derivative of -j**5/60 + 47*j**4/36 - 88*j**3/3 - 96*j**2 + 89*j. Suppose d(v) = 0. Calculate v.
-1, 24
Factor -79*w - 2*w**2 + 3*w**3 + 152*w + 5*w**2 - 79*w.
3*w*(w - 1)*(w + 2)
Let a(u) be the third derivative of -u**6/280 - 33*u**5/70 + 7*u**2 - 13*u. Factor a(v).
-3*v**2*(v + 66)/7
Let j = 62 + -62. Let 4*g**3 - 762*g + 4*g**4 - 4*g**2 + j*g**4 + 758*g = 0. Calculate g.
-1, 0, 1
Let m be (-20)/(-78)*(-96 + 3). Let o = m + 24. Solve 6/13*z + o*z**2 + 4/13 = 0 for z.
-2, -1
What is w in -2/5*w**2 + 9/5 + 17/5*w = 0?
-1/2, 9
Solve 0 + 0*m + 9*m**2 - 9/2*m**3 + 1/2*m**4 = 0.
0, 3, 6
Let n = -8050 - -8054. Factor 6/5*l**3 + 2/5*l**5 + 0*l + 0 - 6/5*l**n - 2/5*l**2.
2*l**2*(l - 1)**3/5
Let i(q) be the third derivative of -2*q**7/105 - 13*q**6/15 + 49*q**5/5 - 122*q**4/3 + 248*q**3/3 + 4*q**2 + 13. Find d such that i(d) = 0.
-31, 1, 2
Let k(x) be the third derivative of x**8/110880 - x**6/3960 + 11*x**5/60 + 10*x**2. Let l(o) be the third derivative of k(o). Factor l(h).
2*(h - 1)*(h + 1)/11
Suppose 2*m - 13 = 3. Suppose 0 = x - 3*w + 8*w + m, -4*w - 12 = -2*x. Suppose -2/3*l**x - 8/3 + 8/3*l = 0. What is l?
2
Suppose 10*z - 30 = 4*z. Let w(i) be the third derivative of -1/7*i**4 + 4/21*i**3 + 0 - 3/70*i**z + 3*i**2 + 0*i + 1/60*i**6. Determine d, given that w(d) = 0.
-1, 2/7, 2
Factor 16 - 82/5*r + 2/5*r**2.
2*(r - 40)*(r - 1)/5
Let v be (-2 - 4/(-6))*-3. Suppose 2*f**v + 8*f**3 + 16*f - 24*f - 2*f**3 = 0. What is f?
-2, 0, 1
Let d(a) = -7*a**2 - 11*a - 20. Let g(i) = -3*i**2 + i + 1. Let p(z) = -d(z) + 2*g(z). Let p(y) = 0. Calculate y.
-11, -2
Suppose 40 = -4*c + 8*c. Let d = -8 + 26. What is x in -5*x - 3*x + 2*x**2 - c + d = 0?
2
Determine s so that 119*s**4 + 4428*s**2 - 1328*s - 2728*s**3 - 603*s**4 - 5525 + 5637 = 0.
-7, 2/11, 1
Let p(u) be the second derivative of 0 - 2*u - 1/70*u**5 + 1/21*u**3 - 2/7*u**2 + 1/21*u**4. Let p(j) = 0. Calculate j.
-1, 1, 2
Suppose -2*m + 42 = -0*m. Let d = m - 18. Find r, given that 12 - 40*r + d*r**2 + 27*r + 25*r = 0.
-2
Let u be (15 - 11) + 2 + 0. Let s(k) be the third derivative of 2/21*k**3 - 6*k**2 + 0 + 0*k + 2/105*k**5 - 1/420*k**u - 5/84*k**4. Let s(c) = 0. What is c?
1, 2
Let z(o) be the first derivative of 5*o**4/8 + 14*o**3/3 + 7*o**2 - 8*o + 5. Determine c so that z(c) = 0.
-4, -2, 2/5
Let b(g) be the first derivative of -g**4/4 + 4*g**3/3 - 2*g**2 - 7. What is m in b(m) = 0?
0, 2
Let s be (1*48/(-252))/((-4)/56). Factor 2*l - 1/3*l**2 - s.
-(l - 4)*(l - 2)/3
Let w(s) be the third derivative of -1/15*s**5 + 2/21*s**7 + 1/30*s**6 - 9*s**2 + 0*s**4 + 0*s + 0*s**3 + 0 + 1/28*s**8. Suppose w(j) = 0. What is j?
-1, 0, 1/3
Let u(t) be the first derivative of t**5/4 - 5*t**4/12 - 5*t**3/3 - 23*t - 48. Let v(o) be the first derivative of u(o). Find i, given that v(i) = 0.
-1, 0, 2
Let p(d) = 2*d**2 - d - 1. Let q = 116 + -117. Let n be p(q). Suppose 7/3*u**4 + 3*u**3 + 2/3*u**n + 0*u + 0 = 0. What is u?
-1, -2/7, 0
Let l(p) be the second derivative of -p**3/3 - p**2 + 14*p. Let s be l(-2). Factor 3/7 - 3/7*n**s + 0*n.
-3*(n - 1)*(n + 1)/7
Let r be 28/(-98)*(-77)/3. Let m be 2/(-8)*-2*(0 + 0). Factor -r*k**2 + 4/3*k + m.
-2*k*(11*k - 2)/3
Let z(y) = 17*y**2 + 63*y + 7. Let q(a) = 25*a**2 + 95*a + 10. Let l(u) = 7*q(u) - 10*z(u). What is n in l(n) = 0?
-7, 0
Let k(q) be the third derivative of -q**8/672 + q**7/140 + q**6/120 - q**5/20 - q**4/48 + q**3/4 - 4*q**2 + 21*q. Solve k(b) = 0.
-1, 1, 3
Let r(y) = y**2 - y - 1. Suppose 0*s = -3*s - 3*z + 12, -s + 6 = 2*z. Let o(i) = 2*i**2 + 2*i - 2. Let x(q) = s*r(q) + o(q). Suppose x(f) = 0. Calculate f.
-1, 1
Factor 5/3 - k**2 + 14/3*k.
-(k - 5)*(3*k + 1)/3
Find v such that 1/3*v + 4*v**2 - 4 - 1/3*v**3 = 0.
-1, 1, 12
Let n(r) = -r**3 - 5*r**2 - 6*r - 5. Let s be n(-4). Suppose s*x**4 - 5*x**4 - 8 - 249*x**2 + 259*x**2 = 0. What is x?
-2, -1, 1, 2
Let q(c) be the third derivative of 2*c**7/105 - 17*c**6/30 + 21*c**5/5 + 27*c**4/2 + 11*c**2. Factor q(r).
4*r*(r - 9)**2*(r + 1)
Let n(o) be the first derivative of -49*o**6/480 - 7*o**5/80 - o**4/32 + 8*o**3/3 - 18. Let g(q) be the third derivative of n(q). Solve g(l) = 0 for l.
-1/7
Let l be 6/(-108) - (19481/990)/(-23). Let j be 2/(-20) - 2/(-4). Factor j*b**2 - l + 2/5*b.
2*(b - 1)*(b + 2)/5
Let m be 6/((-1)/(20/(-12))). Suppose 43*u + 12*u - 6*u**2 + 30 - m*u**2 - 19*u**2 = 0. Calculate u.
-3/7, 2
Let c = -14/2091 + 4252/10455. Factor -4/5*z - 2/5 - c*z**2.
-2*(z + 1)**2/5
Determine o so that 28*o + 3*o**4 - 2*o**2 - 5*o**4 - 15*o + 10*o**3 - 7*o - 12*o**2 = 0.
0, 1, 3
Let g = -209228/7 - -29890. Determine c, given that -g*c**2 - 14 + 4*c = 0.
7
Let v(n) be the first derivative of -1/4*n**3 + 9/4*n + 6 + 3/4*n**2. Solve v(q) = 0 for q.
-1, 3
Suppose -2*v + 16 = 10. Factor 6*o**4 + 0*o**4 - v*o**2 + 6*o**2 - 3*o**4 - 6*o**3.
3*o**2*(o - 1)**2
Let -62/5*j - 1/5*j**2 - 961/5 = 0. Calculate j.
-31
Let n(z) = 7*z**5 - 16*z**3 - 3*z**2 - 3*z - 3. Let u(l) = -64*l**5 + 144*l**3 + 28*l**2 + 28*l + 28. Let d(w) = -28*n(w) - 3*u(w). Factor d(m).
-4*m**3*(m - 2)*(m + 2)
Let n(g) = g**2 - g + 1. Let k(b) = 54*b**3 + 127*b**2 + 20*b - 8. Let q(a) = -k(a) + 4*n(a). Factor q(m).
-3*(m + 2)*(2*m + 1)*(9*m - 2)
Let u(k) be the third derivative of -1/45*k**5 + 0*k**4 + 0 - 1/45*k**6 - 1/63*k**8 + 2/45*k**7 + 17*k**2 + 0*k + 0*k**3. Factor u(d).
-4*d**2*(d - 1)**2*(4*d + 1)/3
What is s in 19*s + 6*s**3 - 83*s**5 - 8*s + 3 - s**4 + 14*s**2 + 82*s**5 = 0?
-1, 3
Let w(f) be the third derivative of -f**5/120 + 17*f**4/48 - 4*f**3/3 - 83*f**2. Factor w(y).
-(y - 16)*(y - 1)/2
Let q = -1397/2 - -699. Find v such that -v**2 + 0 + q*v + 1/2*v**3 = 0.
0, 1
Find a such that 5/3*a**4 + 0 - 155/3*a**3 - 375*a + 425*a**2 = 0.
0, 1, 15
Suppose 0 = 15*m - 20*m + 50. Let k = -9 - -13. Find x, given that 5*x**5 - 15*x + m*x - 5*x**k - 10*x**3 + 10*x**2 + 8*x - 5 + 2*x = 0.
-1, 1
Let u be (-3)/42*-2 - 117/(-63). Let -4*p**3 + 30*p + 21*p**3 + 115*p**u + 18*p**3 = 0. Calculate p.
-3, -2/7, 0
Let t(v) = 65*v**4 + 35*v**3 + 5*v**2 + 35. Let q(p) = -11*p**4 - 6*p**3 - p**2 - 6. Let h(f) = 35*q(f) + 6*t(f). What is k in h(k) = 0?
-1, 0, 1
Factor -17*n**2 + 32*n**2 - 68*n + 276*n + 4*n**3 - 2*n**2 + 55*n**2.
4*n*(n + 4)*(n + 13)
Factor 5*u**2 - 10*u**2 + 4*u**2 + 43*u - 2*u**2 + 6*u**2 + 40.
(u + 1)*(3*u + 40)
Let 4/3*y**2 + 0 + 16*y = 0. Calculate y.
-12, 0
Let g(t) = -4*t + 1. Suppose 4*f + 19 = 5*h, -2*f - 4*h = -4*f - 14. Let c be g(f). Factor 2*b - 12*b**3 - 4*b - 7*b**2 - 2*b**c - 8*b**4 - b**2 + 0*b.
-2*b*(b + 1)**4
Let f = -1041 + 15629/15. Solve 6/5 - 2*w - 2/15*w**3 + f*w**2 = 0.
1, 3
Suppose -4*a - 51 = -3*b, 0 = -0*a - 3*a. Suppose 3*k + 6 = 0, -1 = 4*w - 4*k - b. Find o, given that 0 - o - 2 - w*o**2 + 2 = 0.
-1/2, 0
Let f(q) = 7*q - 26. Let o be f(4). Factor -150*i**2 + 150*i**o + i**4 - i**3.
i**3*(i - 1)
Let q(h) be the first derivative of h**5/70 + 5*h**4/42 - 2*h**3/7 + 5*h + 3. Let c(u) be the first derivative of q(u). Factor c(l).
2*l*(l - 1)*(l + 6)/7
Let s be (-3)/(-15)*60/24. Let g(k) be the second derivative of 0 + 4*k + 0*k**2 - 1/2*k**4 - s*k**3 - 3/20*k**5. Determine b, given that g(b) = 0.
-1, 0
Let f(l) be the first derivative of -5*l**3/21 + l**2/2 - 2*l/7 - 54. Factor f(u).
-(u - 1)*(5*u - 2)/7
Let p(w) be the first derivative of 2*w**3/5 - 4*w**2 + 34*w/5 - 397. Find x, given that p(x) = 0.
1, 17/3
Let w(s) be the third derivative of s**7/490 - 3*s**6/280 - 9*s**5/140 - 5*s**4/56 - 26*s**2. Let w(l) = 0. Calculate l.
-1, 0, 5
Let o(t) = t**3 - 3*t**2 - 3*t + 1. Let s be o(4). Suppose -s*z = -5*x - 10, -2*x + z + 0 = -1. Determine w, given that w + w**2 - w + x*w - 5*w = 0.
0, 2
Let j(m) be the third derivative of 0*m + 1/40*