hird derivative of -2*r**7/255 + r**6/340 + 8*r**5/255 - r**4/68 - 2*r**3/51 + 2*r**2 + 38*r. Let s(f) = 0. Calculate f.
-1, -2/7, 1/2, 1
Let s(n) = n**2 + 3*n - 5. Let a be s(-5). Determine q so that -6*q**4 + 5*q**3 + 7*q**3 - 6*q**4 - 4*q**5 + 7*q**a = 0.
0, 2
Let u(k) be the second derivative of k**7/63 + 2*k**6/15 + k**5/3 - 11*k**3/9 - 2*k**2 - 140*k. Determine w, given that u(w) = 0.
-3, -2, -1, 1
Let p(u) = -83*u**4 + 133*u**3 + 18*u**2 - 43*u. Let h(j) = 41*j**4 - 67*j**3 - 10*j**2 + 21*j. Let n(r) = 5*h(r) + 3*p(r). Factor n(z).
-4*z*(z - 1)**2*(11*z + 6)
Let y(o) be the first derivative of -o**5/20 + 3*o**4/16 - o**3/4 + o**2/8 + 225. Factor y(x).
-x*(x - 1)**3/4
Let z = 23454/11 - 2132. Factor -2/11*c + 0 + z*c**2.
2*c*(c - 1)/11
Let a = 120 + -99. Suppose 2*s - 5*t = -a, 2*s + 6 = -3*t + 5*t. Solve -72/5*u - 16/5 - 12*u**s - 14/5*u**3 = 0 for u.
-2, -2/7
Let q(f) be the third derivative of 2*f**7/315 - f**6/90 - f**5/15 + f**4/18 + 4*f**3/9 - 132*f**2. Find b such that q(b) = 0.
-1, 1, 2
Let m(i) = -i**2 + 10*i + 41. Let n be m(13). Suppose 6*v**n - 9*v**4 - 2*v**2 + 4*v - v**3 + 8*v**4 = 0. What is v?
-2, -1, 0, 2
Let d(r) = 31*r**2 + 393*r - 410. Let t(q) = 14*q**2 + 197*q - 205. Let y(o) = -3*d(o) + 7*t(o). Factor y(u).
5*(u - 1)*(u + 41)
Let b be (-2)/6*(-39 + 46 + -16). Solve -9/4*l**2 - 3/4*l**4 + 0*l - 3*l**b + 0 = 0 for l.
-3, -1, 0
Let z(d) be the third derivative of d**6/30 + 46*d**5/15 - 95*d**4/6 + 32*d**3 + 409*d**2. Factor z(r).
4*(r - 1)**2*(r + 48)
Determine g so that 12/19 + 148/19*g**2 + 64/19*g**4 - 10/19*g**5 - 70/19*g - 144/19*g**3 = 0.
2/5, 1, 3
Let p = 19 + -27. Let d be 6 + 2*12/p. Suppose 3*k**d + 3*k**2 - 5*k**3 + k**4 - k**3 + 3*k**5 - 4*k**4 = 0. Calculate k.
-1, 0, 1
Let u(b) be the first derivative of 5*b**4/4 - 20*b**3 + 225*b**2/2 - 270*b + 88. Factor u(m).
5*(m - 6)*(m - 3)**2
Suppose 0 = r - 3*s + 11 + 1, 0 = -2*s + 8. Suppose r*p + 3*p - 19 = -2*z, -5*p = 4*z - 33. Factor 2/3 + 1/3*o**z - o.
(o - 2)*(o - 1)/3
Let r(f) = 6*f**2 + 2*f - 4. Let t(o) = -2*o + 2. Let q(a) = -r(a) - 2*t(a). Suppose q(j) = 0. Calculate j.
0, 1/3
Suppose 3*k - 3 = 3*h, 9*k + 3 = 6*k - 3*h. Factor 1/4*r**2 + 1/4*r + k.
r*(r + 1)/4
Let k(r) be the third derivative of -r**8/1344 + r**7/28 - 3*r**6/4 + 9*r**5 - r**4/12 + 29*r**2. Let s(b) be the second derivative of k(b). Factor s(y).
-5*(y - 6)**3
Let b(f) = -4*f**2 - 6*f + 10. Let r be 1 + 10/(2 - 0). Let a(m) = 2 - r - m + 6 - 1. Let x(i) = -10*a(i) + b(i). Let x(n) = 0. What is n?
0, 1
Find w such that 0 + 16*w**4 - 108/5*w**2 + 32/5*w - 186/5*w**3 + 126/5*w**5 = 0.
-1, 0, 2/9, 8/7
Suppose 7 + 5 = d. Let x(r) = 6 + 3*r**3 + 3*r**2 - 3*r**2 - 21*r. Let l(h) = -h. Let k(n) = d*l(n) - x(n). Determine j so that k(j) = 0.
-2, 1
Let b(l) be the first derivative of l**6/42 + l**5/7 - 5*l**4/28 - 25*l**3/21 + 2*l**2/7 + 20*l/7 - 369. Suppose b(y) = 0. What is y?
-5, -2, -1, 1, 2
Let t be (810/100)/27*-5*8/(-42). Solve -t*l**2 - 2/7 + 4/7*l = 0 for l.
1
Let p(b) be the third derivative of b**7/840 + b**6/80 + 3*b**5/80 + b**4/24 + 161*b**2. Factor p(y).
y*(y + 1)**2*(y + 4)/4
Let h = 1036 - 1034. Factor 0 + 1/2*i**h - i.
i*(i - 2)/2
Let a = -1430 - -1441. Let p(l) be the second derivative of -1/7*l**3 + 0 + 0*l**2 - 1/42*l**4 - a*l. Factor p(b).
-2*b*(b + 3)/7
Let s = 34 + -24. Let n be s/(-105)*3 + (-32)/(-14). Determine l, given that -l - 1/2*l**n - 1/2 = 0.
-1
Let -24 + 27/2*o**2 + 33*o**3 + 21/2*o**4 - 33*o = 0. Calculate o.
-2, -8/7, -1, 1
Let d(r) = -r**3 + r. Let m(y) = 4*y**3 + y - 2*y**3 + 2*y**2 + 2*y - 3*y**3. Let a(f) = -3*d(f) + m(f). Factor a(l).
2*l**2*(l + 1)
Let m(r) = -11*r**3 - 16*r**2 - 9*r + 7. Let a(l) = -5*l**3 - 8*l**2 - 5*l + 3. Let n(p) = -7*a(p) + 3*m(p). Determine h so that n(h) = 0.
-2, 0
Let k(u) = -2*u**4 + 12*u**3 - 2*u**2 + 8*u. Let o(w) = -w**4 + 8*w**3 - w**2 + 5*w. Let a(d) = 5*k(d) - 8*o(d). Factor a(t).
-2*t**2*(t + 1)**2
Let j(q) be the third derivative of q**6/30 - 7*q**5/5 + 33*q**4/2 + 242*q**3/3 + 60*q**2. Let j(b) = 0. Calculate b.
-1, 11
Factor 29 - 22 + 100*c**2 + 9*c**3 - 32*c - 13*c**3 - 55 + 8*c**4 - 48*c**3.
4*(c - 3)*(c - 2)**2*(2*c + 1)
Let z(g) be the first derivative of 2*g**3/3 - 5*g**2 - 28*g + 197. Factor z(r).
2*(r - 7)*(r + 2)
Suppose 0 = 4*q - q - 132. Let b be 80/q + (-2)/(-11). Determine t, given that t - 1/2*t**b - 1/2 = 0.
1
Let g(o) be the third derivative of 0 - 22*o**2 + 1/270*o**6 + 0*o**4 + 0*o + 0*o**3 + 2/135*o**5. Find x, given that g(x) = 0.
-2, 0
Let x(v) be the third derivative of 1/270*v**5 + 1/270*v**6 + 0*v + 1/945*v**7 + 0 + 0*v**3 + 6*v**2 + 0*v**4. Find t such that x(t) = 0.
-1, 0
Let i(r) be the second derivative of -r**4/12 + 14*r**3/3 + 182*r. Find o such that i(o) = 0.
0, 28
Factor -1/6*f**4 - 4/3 - 4/3*f**3 - 11/3*f - 7/2*f**2.
-(f + 1)**2*(f + 2)*(f + 4)/6
Let w(l) be the second derivative of -7/48*l**4 + 0*l**2 - 1/40*l**5 - 6*l + 1/120*l**6 + 0 - 1/6*l**3. Factor w(j).
j*(j - 4)*(j + 1)**2/4
Let w = -16776 + 50348/3. Find h, given that 19/3*h**2 + 4/3 + w*h - 23/3*h**4 - 7/3*h**5 - 13/3*h**3 = 0.
-2, -1, -2/7, 1
Let v(x) = -x**3 + 13*x**2 - 23*x + 15. Let p be v(11). Let w(n) be the first derivative of -3/8*n**2 + 1/4*n + 1/4*n**3 - 1/16*n**p + 4. Factor w(l).
-(l - 1)**3/4
Suppose -98 = -7*k + 175. Suppose -7*v + 5*v**3 + 6*v**4 - 6 - 45*v**3 + v**4 + 7*v**3 + k*v**2 = 0. Calculate v.
-2/7, 1, 3
Let u(h) = 3*h**2 - 53*h - 7. Let f(p) = p**2 - 18*p - 2. Let x(s) = 7*f(s) - 2*u(s). Let x(m) = 0. What is m?
0, 20
Let c be (2/7)/((-1)/(-7)). Solve 9 - 10*l - 28*l**c + 50*l**2 - 1 - 20*l**2 = 0 for l.
1, 4
Suppose 0 - 61/7*c**2 - 5/7*c**5 + 37/7*c**4 + 30/7*c - 7*c**3 = 0. What is c?
-1, 0, 2/5, 3, 5
Let w(d) be the third derivative of -d**7/420 + d**6/240 + d**5/30 - d**4/12 + 58*d**2. Factor w(s).
-s*(s - 2)*(s - 1)*(s + 2)/2
Let g(y) be the second derivative of 1/84*y**4 - 3*y + 1/6*y**3 - 2 + 0*y**2. Factor g(n).
n*(n + 7)/7
Let y(i) be the first derivative of 32/3*i**3 + 8*i**2 - 5 - 4*i**5 - 7*i**4 + 0*i. Determine j, given that y(j) = 0.
-2, -2/5, 0, 1
Determine s, given that 0 + 10*s**2 - 2/3*s**4 + 16/3*s + 4*s**3 = 0.
-1, 0, 8
Let n = 199 - 189. Let t be 3/6*5*6/n. Suppose -1/4*g**2 + t*g**3 - 6*g - 1/4*g**4 - 4 = 0. Calculate g.
-1, 4
Suppose 585/8*t**2 + 24 + 579/8*t + 201/8*t**3 + 3/8*t**4 = 0. What is t?
-64, -1
Let o(x) be the first derivative of x**3/3 - x**2 + x + 45. Determine j, given that o(j) = 0.
1
Let u(q) = -q**3 + 5*q**2 + 6*q - 2. Let p be u(6). Let r be (2 - 1/p)*2. Factor o**3 + 6*o**2 - 5*o**5 - 7*o**3 - 9*o**4 + 3 + 9*o + 2*o**r.
-3*(o - 1)*(o + 1)**4
Let n(s) be the first derivative of -4*s**3/3 - 584*s**2 - 85264*s + 85. Suppose n(u) = 0. What is u?
-146
Let b(h) be the first derivative of h**3/6 + 3*h**2 - 13*h/2 + 87. Factor b(f).
(f - 1)*(f + 13)/2
Let n(x) be the second derivative of -x**6/105 - 3*x**5/35 - x**4/6 + 2*x**3/7 + 8*x**2/7 + 165*x. Find r such that n(r) = 0.
-4, -2, -1, 1
Let c(d) be the first derivative of -2*d**6/21 + 12*d**5/5 - 5*d**4 - 244*d**3/21 + 144*d**2/7 + 304*d/7 + 391. Solve c(a) = 0 for a.
-1, 2, 19
Let r(b) be the third derivative of b**7/10080 + b**6/2880 - b**5/240 + 13*b**4/24 + 2*b**2 + 28*b. Let l(j) be the second derivative of r(j). Factor l(w).
(w - 1)*(w + 2)/4
Let r(z) be the third derivative of 3*z**2 + 0 + 0*z - 1/17*z**3 - 1/51*z**4 - 1/510*z**5. Factor r(v).
-2*(v + 1)*(v + 3)/17
Suppose 5*p + 1498 = 2*w, 4*p + 1070 = -4*w - 134. Let l be 3/2*(-160)/p. Suppose l - 8/5*u - 1/5*u**3 + u**2 = 0. Calculate u.
1, 2
Let u(w) = w**4 + 7*w**3 - 6*w**2 - 22*w + 26. Let n(m) = 4*m**4 + 22*m**3 - 20*m**2 - 67*m + 79. Let q(d) = -4*n(d) + 14*u(d). Factor q(i).
-2*(i - 3)*(i - 2)**2*(i + 2)
Let p = 583/11260 - 1/563. Let j(s) be the second derivative of -p*s**4 - 1/10*s**3 + 0*s**2 + 0 + 3/100*s**5 + 1/50*s**6 + 3*s. Suppose j(g) = 0. Calculate g.
-1, 0, 1
Let i(r) be the third derivative of 0 + 0*r + 10/3*r**3 + 3*r**2 + 1/8*r**6 + 5/2*r**4 + 11/12*r**5. Solve i(a) = 0.
-2, -1, -2/3
Suppose -210 + 771 = 3*f. Suppose 171 - f = -4*a. Find h such that 0*h + 1/4*h**a - 1/2*h**3 + 1/4*h**2 + 0 = 0.
0, 1
Let a(x) be the third derivative of x**8/11760 - x**7/1470 + x**6/840 - x**3/2 + 14*x**2. Let i(z) be the first derivative of a(z).