et v be y(6). Find h such that 26*h**2 + 2*h**3 - 10*h**2 - 18*h**v = 0.
0, 1
Let p(m) be the third derivative of -2*m**7/105 + m**6/20 + 7*m**5/30 - m**4 + 4*m**3/3 - 121*m**2 - 3. Let p(f) = 0. Calculate f.
-2, 1/2, 1, 2
Determine w, given that -7/5*w**3 - 2*w**2 + 0 + 1/5*w**4 + 16/5*w = 0.
-2, 0, 1, 8
Let t(h) be the second derivative of -h**4/54 + 119*h**3/27 + 688*h. Find i such that t(i) = 0.
0, 119
Let r(i) be the second derivative of -5*i**6/12 + 71*i**5/2 - 1727*i**4/2 + 3976*i**3/3 - 784*i**2 + i - 170. Factor r(k).
-(k - 28)**2*(5*k - 2)**2/2
Suppose -6*z + 7 = -5*z - 5*c, 0 = -5*z + 3*c + 13. Let v be ((-8)/(-14))/z*(-140)/(-60). Factor -v*s**2 - 2/15*s + 0.
-2*s*(5*s + 1)/15
Let k = -3589 + 3599. Factor -4*q - 2/5 - k*q**2.
-2*(5*q + 1)**2/5
Let c(q) be the second derivative of -q**6/30 - q**5/20 - 30*q. Determine v, given that c(v) = 0.
-1, 0
Factor 6/5*o + 2/5*o**3 - 8/5*o**2 + 0.
2*o*(o - 3)*(o - 1)/5
Let i(a) = a**5 - a**4 - a**3 + a**2 - a. Let w(t) = -5*t**5 + t**4 + 5*t**3 + 3*t**2 + 4*t - 4. Let b(g) = 12*i(g) + 3*w(g). Determine v, given that b(v) = 0.
-2, -1, 1
Let a(k) = 2*k**2 - 10*k + 20. Suppose -v - 1 = -4. Let y = 6 - v. Let p(c) = -2*c**2 + 9*c - 21. Let b(q) = y*a(q) + 2*p(q). Factor b(g).
2*(g - 3)**2
Let y(u) be the second derivative of -u**5/60 + u**4/2 - 5*u**3/6 - 17*u**2/3 - 11*u + 5. Find a such that y(a) = 0.
-1, 2, 17
Let i = 23 - 14. Let p be 6/(-3 + i/2). Determine a, given that -30*a**2 + 2 + 28*a**2 - a**3 - 3*a**3 + p*a = 0.
-1, -1/2, 1
Let l be 1 + -1 + (450/6)/5. Let m be 36/l - ((-1)/1 + 3). Factor 2/5*d**3 + m*d**2 - 2/5*d - 2/5*d**4 + 0.
-2*d*(d - 1)**2*(d + 1)/5
Let m(i) = -8*i**2 - 2*i + 4. Let y(f) = 5*f**2 + 3*f - 1. Let o(s) = -6*s**2 - 3*s + 2. Let j(d) = 3*o(d) + 2*y(d). Let p(w) = 6*j(w) - 7*m(w). Factor p(q).
4*(q - 1)*(2*q + 1)
Let y(m) be the first derivative of 52*m**3/3 + 12*m**2 - 110. What is h in y(h) = 0?
-6/13, 0
Suppose 226 = 21*k + 79. Let c(q) be the third derivative of 1/13*q**3 - 1/78*q**4 + 0 - k*q**2 - 1/390*q**5 + 0*q. Factor c(v).
-2*(v - 1)*(v + 3)/13
Let r(x) be the first derivative of -3*x**5/25 - 13*x**4/20 + 29*x**3/15 - 7*x**2/10 - 6*x/5 + 11. Let r(m) = 0. Calculate m.
-6, -1/3, 1
Let s(b) be the third derivative of b**5/270 + b**4/18 - 7*b**3/27 + b**2 + 17. What is j in s(j) = 0?
-7, 1
Let l(o) be the third derivative of -o**5/300 - 61*o**4/120 + 10*o**2 + 8. Factor l(x).
-x*(x + 61)/5
Factor -32/5 + 2/5*w**2 - 6*w.
2*(w - 16)*(w + 1)/5
Suppose -20 = -5*x + 50. Suppose -16 = 10*y - x*y. Factor -2/5*l**5 - 12/5*l**3 - 8/5*l**y - 8/5*l**2 - 2/5*l + 0.
-2*l*(l + 1)**4/5
Let x(r) be the second derivative of r**6/120 + 9*r**5/160 - 7*r**4/32 - r**3/3 + 3*r**2/4 - 6*r - 13. Find p, given that x(p) = 0.
-6, -1, 1/2, 2
Let m be 9/(-2)*(-2)/3. Let -m*z**3 - 3*z + 2*z**2 + z**2 - 6*z**2 - 3*z**2 = 0. Calculate z.
-1, 0
Let f(k) be the third derivative of -k**6/140 + 11*k**5/70 - 487*k**2. Find a such that f(a) = 0.
0, 11
Suppose 99*u - 144*u + 90 = 0. Factor 0 - 6/5*f**4 + 12/5*f**3 - 6/5*f**u + 0*f.
-6*f**2*(f - 1)**2/5
Let k(n) = 4*n**4 + 20*n**3 + 16*n**2 - 10*n. Let y(t) = -t**4 - 7*t**3 - 6*t**2 + 3*t. Let r(o) = 3*k(o) + 10*y(o). Factor r(m).
2*m**2*(m - 6)*(m + 1)
Let s(l) be the third derivative of 1/120*l**6 + 3/20*l**5 + 0 + 8/3*l**3 + l**4 + 7*l**2 + 0*l. Determine r, given that s(r) = 0.
-4, -1
Let d be 20/(-25) + (-406)/(-245). Let 0*u - 9/7*u**2 + 0 - d*u**3 = 0. What is u?
-3/2, 0
Let q(m) be the third derivative of 1/4*m**5 - 13*m**2 + 0 + 0*m + 0*m**3 + 1/24*m**6 + 5/12*m**4. Factor q(a).
5*a*(a + 1)*(a + 2)
Let z(m) be the first derivative of -4*m - 3/4*m**3 + 3*m**2 + 1/16*m**4 - 18. Suppose z(j) = 0. Calculate j.
1, 4
Let y(x) be the first derivative of -x**6/6 + 37*x**5/5 + 161*x**4/4 + 127*x**3/3 - 80*x**2 - 164*x - 421. Find p, given that y(p) = 0.
-2, -1, 1, 41
Factor 4/15*h + 2/15 + 2/15*h**2.
2*(h + 1)**2/15
Let r(b) be the third derivative of b**5/15 + 7*b**4/2 + 40*b**3/3 + 311*b**2. Solve r(y) = 0 for y.
-20, -1
Suppose 0 = -2*k - 2*k + 44. Suppose 2*w - 3*p + k = -0*p, 0 = 3*w - 3*p + 9. Factor 4/11*c**3 - 4/11*c**w + 2/11 - 2/11*c + 2/11*c**4 - 2/11*c**5.
-2*(c - 1)**3*(c + 1)**2/11
Let q(j) = 9*j**2 - 3*j - 7. Let l(b) = 10*b**2 - 2*b - 6. Let c be 1/(-3)*(-9 - 6). Let o(u) = c*l(u) - 6*q(u). Let o(w) = 0. What is w?
-1, 3
Let n(w) be the second derivative of 50*w**7/21 - 14*w**6/9 - 337*w**5/60 + 23*w**4/6 + 37*w**3/18 + w**2/3 + 7*w + 1. What is f in n(f) = 0?
-1, -1/10, 2/3, 1
Suppose -7*v + 133 + 63 = 0. Let z be (-6 - (-176)/v) + (-8)/(-21). Suppose 0*p + 2/3*p**2 + 0 - z*p**3 = 0. Calculate p.
0, 1
Let y(w) be the third derivative of -w**5/48 - 125*w**4/96 - 115*w**3/12 + 17*w**2 + 5. Factor y(k).
-5*(k + 2)*(k + 23)/4
Suppose -3*g + 0*g = -5*z + 8, -2*g = 2*z - 16. Suppose 0*h + 11 = -2*h + 3*o, -3*h + z*o - 14 = 0. Let -1/2 - 9/2*q**h + 2*q**3 + 3*q = 0. Calculate q.
1/4, 1
Let u be (-2)/27 + (5796/(-486) - -14). Factor -2/5*s**u + 2/5*s + 0.
-2*s*(s - 1)/5
Let y(c) be the second derivative of -c**5/160 + c**4/24 + 19*c**3/48 + 7*c**2/8 + 15*c. Suppose y(j) = 0. What is j?
-2, -1, 7
Let i = -8309 + 58179/7. Factor -4/7 + i*m + 9/7*m**2.
(m + 2)*(9*m - 2)/7
Factor -4/7*x**3 - 4/7*x + 8/7*x**2 + 0.
-4*x*(x - 1)**2/7
Let d(l) be the first derivative of 2*l**6/5 - 16*l**5/25 - l**4 + 8*l**3/15 - 65. Suppose d(n) = 0. Calculate n.
-1, 0, 1/3, 2
Let h(l) be the first derivative of -1/12*l**4 - 1/3*l**2 - 1/3*l**3 + 0*l + 5. Solve h(i) = 0.
-2, -1, 0
Let u(i) be the second derivative of i**6/40 - 9*i**5/20 + 15*i**4/8 - 7*i**3/2 - 23*i**2 + 29*i. Let t(a) be the first derivative of u(a). Factor t(q).
3*(q - 7)*(q - 1)**2
Solve 0 - 6*n**2 - 168/5*n + 3/5*n**3 = 0.
-4, 0, 14
Let w(k) be the second derivative of k**5/100 - 41*k**4/20 + 124*k**3 + 1922*k**2/5 + 296*k. Factor w(m).
(m - 62)**2*(m + 1)/5
Let g(f) = f**3 - 3*f**2 + f - 1. Let y be g(3). Factor -2*c**y + 182 + c - c - 180.
-2*(c - 1)*(c + 1)
What is n in -10 - 33*n**2 + 63*n**2 - 20*n**3 + 5*n**5 - 20*n**2 + 15*n = 0?
-2, -1, 1
Let f(g) be the second derivative of 22*g + 2/5*g**6 + 0 + 1/2*g**3 + 1/14*g**7 + g**4 + 0*g**2 + 9/10*g**5. What is k in f(k) = 0?
-1, 0
Let l be (20 - 22)/((-1)/9*2). Let m(h) be the first derivative of 7/6*h**3 - 2*h + l + h**2 + 3/10*h**5 - 5/4*h**4. Determine a, given that m(a) = 0.
-2/3, 1, 2
Let z(y) be the third derivative of 11*y**5/180 - 23*y**4/72 + 2*y**3/3 - y**2 + 42. Solve z(c) = 0.
1, 12/11
Let p(z) be the third derivative of 23*z**2 + 0 + 0*z - 3/8*z**4 + 0*z**3 - 1/20*z**5. Find s, given that p(s) = 0.
-3, 0
Let z(a) be the second derivative of 2/15*a**6 - 8*a**2 - a**5 + a**4 - 40*a + 0 + 10/3*a**3. Factor z(l).
4*(l - 4)*(l - 1)**2*(l + 1)
Let u be ((-2)/(32/(-24)))/(2/4). Let l(k) be the first derivative of 0*k + 0*k**2 + u + 0*k**3 - 1/4*k**4. Factor l(q).
-q**3
Let o(k) be the second derivative of 3*k**5/40 - 2*k**4/3 + 17*k**3/12 - k**2 - k + 1. Solve o(a) = 0 for a.
1/3, 1, 4
Let r = 39/1120 - 1/672. Let v(a) be the first derivative of -3 + r*a**5 + 1/24*a**4 - 1/12*a**2 - 1/18*a**3 + 0*a. Factor v(j).
j*(j - 1)*(j + 1)**2/6
Suppose -13*h + 0*h**3 - 6*h**3 - 18*h**4 + 18*h**2 + 2*h**3 + 0*h + 17*h = 0. Calculate h.
-1, -2/9, 0, 1
Solve -2/5*b**3 + 12/5*b**2 - 18/5*b + 0 = 0 for b.
0, 3
Let h = -124 + 134. Let 4*p**2 - 36*p - 6 + 17 + 11 + h = 0. What is p?
1, 8
Factor 2*v**5 + 48*v**3 + v**4 - 36*v**3 - 6 - 4*v**2 - 14*v + 9*v**4.
2*(v - 1)*(v + 1)**3*(v + 3)
Let q(u) be the second derivative of -2*u**6/45 - u**5 - 25*u**4/3 - 250*u**3/9 - 288*u. Factor q(o).
-4*o*(o + 5)**3/3
Let x(r) be the first derivative of -5*r**3/3 - 15*r**2/2 - 10*r + 103. Factor x(v).
-5*(v + 1)*(v + 2)
Let n(j) be the first derivative of -j**4/20 + j**2/10 - 41. Factor n(r).
-r*(r - 1)*(r + 1)/5
Let s(m) be the first derivative of -60*m - 15/2*m**4 - 5 + 10*m**2 + 15*m**3 + m**5. Solve s(k) = 0 for k.
-1, 2, 3
Suppose 77*o = 109*o - 96. Determine n, given that 0*n - 1/3*n**o + 0 + n**2 = 0.
0, 3
Let x(t) = -t**3 + 8*t**2 - 7*t + 4. Let f be x(7). Let m be (-3 + 11 - f) + -1. What is d in -68*d**2 - d - 112*d**4 + 37 - 172*d**m - 37 - 7*d = 0?
-1, -2/7, -1/4, 0
Suppose -i + 2 = -3*i + 4*k, i + 7 = 5*k. Determine w so that 16*w**5 + 3*w**2 - 13*w**5