k**7/1680 + k**6/120 - k**5/12 + 4*k**2. Let d(h) be the third derivative of s(h). Find z such that d(z) = 0.
-2, 1
Let v(d) = -d**2 + 1. Let o(z) = 5*z**2 - 18*z - 23. Let c(g) = 2*o(g) + 6*v(g). Suppose c(s) = 0. What is s?
-1, 10
Let t(s) be the second derivative of -s**8/11200 - s**7/4200 + 13*s**4/12 + 33*s. Let p(r) be the third derivative of t(r). Solve p(l) = 0 for l.
-1, 0
Let z be ((-78)/170)/(3 - 218/70). Let w = z + -30/17. Factor 4*t**3 + w*t - 6*t**2 - 1/4.
(t - 1)*(4*t - 1)**2/4
Let j be (-48)/(-32)*(-40)/(-6). Let m(u) = u**2 - 8*u - 20. Let n be m(j). Factor 8*f**2 - 12*f**2 + 4 + 4*f**3 + n*f**2 - 4*f.
4*(f - 1)**2*(f + 1)
Let i(k) be the second derivative of 1/4*k**4 - 1/3*k**3 + 8*k + 2*k**2 + 1/60*k**6 - 1/10*k**5 + 0. Let a(p) be the first derivative of i(p). Factor a(r).
2*(r - 1)**3
Let r(j) be the third derivative of -13*j**2 + 0*j - 1/60*j**5 - 1/18*j**4 + 0 - 2/27*j**3. Let r(v) = 0. Calculate v.
-2/3
Let 13*m**2 + 1/2*m**3 + 209/2*m + 242 = 0. Calculate m.
-11, -4
Let t be (6/4 - 0)*(-124)/(-186). Factor -45*k**4 + t + 2*k**3 - 1 + 47*k**4.
2*k**3*(k + 1)
Determine t, given that -2178/5*t**4 - 32/5 - 8976/5*t**3 - 9776/5*t**2 - 1088/5*t = 0.
-2, -2/33
Suppose w = 3*c, 0 = 4*c + 31*w - 59*w + 29*w. Solve c + 0*k + 2/7*k**2 = 0 for k.
0
Let f(d) be the second derivative of -d**6/240 - d**5/120 + d**4/48 + d**3/12 - 10*d**2 + 23*d. Let r(c) be the first derivative of f(c). Factor r(g).
-(g - 1)*(g + 1)**2/2
Let r(y) be the second derivative of -y**4/2 - 3*y**3/4 - 82*y. Factor r(l).
-3*l*(4*l + 3)/2
Let n(v) be the first derivative of 4/9*v**3 - 12 + 0*v + 1/36*v**6 - 1/4*v**2 - 1/4*v**4 + 0*v**5. Determine s so that n(s) = 0.
-3, 0, 1
Let 4/3*w + 0 - 7/3*w**3 + 4*w**2 = 0. What is w?
-2/7, 0, 2
Let o(a) be the third derivative of a**5/510 - 95*a**4/102 + 9025*a**3/51 - 251*a**2. Factor o(w).
2*(w - 95)**2/17
Let l(r) be the first derivative of 25*r**4/28 + 5*r**3/7 - 429*r**2/14 + 605*r/7 - 818. Solve l(z) = 0.
-5, 11/5
Let j = -1474 - -22114/15. Suppose 2/15*i**2 - j*i + 2/15 = 0. Calculate i.
1
Determine u, given that 39*u**2 - 9/2*u**4 - 81/2*u + 27/2 + 3/2*u**5 - 9*u**3 = 0.
-3, 1, 3
Let k = 60 - 57. Let x(t) be the first derivative of -4/3*t**2 + k + 2/15*t**5 + 4/3*t**3 + 2/3*t - 2/3*t**4. Solve x(r) = 0.
1
Factor 0 + 6/5*c**3 + 2/15*c**4 + 2*c**2 - 10/3*c.
2*c*(c - 1)*(c + 5)**2/15
Factor -23/5*p**2 - 1/5*p**3 + 24/5*p + 0.
-p*(p - 1)*(p + 24)/5
Let y(i) be the first derivative of -i**2 + 16 + 0*i - 1/3*i**3. Factor y(d).
-d*(d + 2)
Let n(b) be the second derivative of b**4/24 - 5*b**3/3 + 51*b**2/4 - 133*b - 2. Determine x so that n(x) = 0.
3, 17
Suppose -9*f + 0*f + 288 = 0. Factor -117*q**4 + 56*q**4 + 57*q**4 + 80*q - f - 72*q**2 + 28*q**3.
-4*(q - 2)**3*(q - 1)
Let q be ((-25)/(-275))/((-11)/(-88)). Let t be 6/(-44)*6 + 1. Let t*d**3 - 10/11*d**2 - q + 16/11*d = 0. What is d?
1, 2
Let k = 863 - 861. Let u(s) be the third derivative of 1/60*s**5 + 0*s**3 + 0*s**4 + 0 + 0*s + 10*s**k. Factor u(t).
t**2
Let k(y) = y**3 - y**2. Let d(n) = 5*n**3 + 4*n**2 - 9*n. Let r(h) = -d(h) + 6*k(h). Solve r(f) = 0 for f.
0, 1, 9
Let n be (-27)/21 - -1 - 30/(-7). Suppose 16 = -n*k, 0*o + 2*o + 2 = -5*k. Determine m, given that o + 9*m + 3*m**2 + 1/3*m**3 = 0.
-3
Let c = 8957/5 - 1791. Solve -8/5*r**4 + 0 - 8/5*r**2 - 12/5*r**3 - 2/5*r - c*r**5 = 0 for r.
-1, 0
Let z(v) = -2*v**4 - 35*v**3 + 72*v**2 - 51*v + 26. Let d(i) = 9*i**4 + 141*i**3 - 288*i**2 + 201*i - 105. Let o(s) = 5*d(s) + 21*z(s). Factor o(g).
3*(g - 7)*(g - 1)**3
Let i(l) be the third derivative of -l**6/240 + 3*l**5/40 - 5*l**4/16 + 7*l**3/12 + 137*l**2 + l. Find x such that i(x) = 0.
1, 7
Let j(z) = -z**2 + 4*z + 11. Let l(k) = -k**2 + 5*k + 20. Let w(b) = 2*b**2 - 11*b - 41. Let r(p) = 5*l(p) + 3*w(p). Let x(q) = -7*j(q) - 3*r(q). Factor x(o).
4*(o - 2)*(o + 1)
Factor 625/8 + 1/8*f**2 - 25/4*f.
(f - 25)**2/8
Let b(s) be the third derivative of -s**8/13440 - s**7/1680 - s**6/480 + s**5/6 - 10*s**2. Let j(t) be the third derivative of b(t). Find v such that j(v) = 0.
-1
Let o(i) be the third derivative of 0 - 1/2*i**3 + 0*i - 1/180*i**5 + 1/12*i**4 - 14*i**2. Let o(h) = 0. What is h?
3
Let o(y) be the third derivative of -y**7/1260 + y**6/180 + 17*y**5/120 + 5*y**4/8 + 25*y**2 - 5. Factor o(k).
-k*(k - 10)*(k + 3)**2/6
Let u = -13550757 - -28321082879/2090. Let r = 1/190 + u. Factor 4/11*j**4 + 0*j + 0 + 6/11*j**3 - r*j**2.
2*j**2*(j + 2)*(2*j - 1)/11
Suppose -5*n = q - 15, 4*n + 0 = 12. Factor -3*b**4 - 8*b**3 + 5*b**3 + q*b**2 + 3*b**2 + 3*b.
-3*b*(b - 1)*(b + 1)**2
Let t(h) be the first derivative of 2*h**3 + 123*h**2/2 + 60*h - 135. Factor t(z).
3*(z + 20)*(2*z + 1)
Factor -i**3 - 11*i + 24 - 51*i**2 - 7*i**3 - 7*i**3 + 17*i + 36*i.
-3*(i - 1)*(i + 4)*(5*i + 2)
Let g(i) = -5*i**2 - 2*i - 6. Let s(p) = -p**2 + 1. Let n(c) = g(c) - 6*s(c). Let f be n(5). Determine r so that -3*r**2 + f*r + 9*r**2 - 6 - 6*r + 3*r**3 = 0.
-2, -1, 1
Suppose -4*z = r - 9, -10*z + 5*r + 5 = -5*z. Let y(q) be the third derivative of 0*q**3 - 1/150*q**5 + 0*q + 0 + z*q**2 + 1/60*q**4. Factor y(m).
-2*m*(m - 1)/5
Suppose -14*h = 18*h. Factor h*z + 3/4*z**2 + 0.
3*z**2/4
Let c(y) be the second derivative of 25*y**7/21 - 26*y**6/3 + 42*y**5/5 + 68*y**4/3 + 32*y**3/3 - 46*y - 2. Find f such that c(f) = 0.
-2/5, 0, 2, 4
Factor -5*x**3 + 29282 + 28966*x - 482*x**2 + 7*x**3 - 168*x.
2*(x - 121)**2*(x + 1)
Let x be 970/1440*6 + -2*2. Let f(y) be the second derivative of y + y**2 - x*y**4 + 0*y**3 + 0. Factor f(b).
-(b - 2)*(b + 2)/2
Suppose 22/5*a**5 - 56/5*a**3 + 2*a**4 + 0 + 24/5*a**2 + 0*a = 0. What is a?
-2, 0, 6/11, 1
Let i(n) = -2*n**4 + 2*n**3 + n**2 + n + 1. Let z(t) = 24*t**4 + 8*t**3 - 194*t**2 + 54*t - 6. Let b(d) = -6*i(d) - z(d). Let b(g) = 0. Calculate g.
-5, 0, 1/3, 3
Let l(s) = 7*s - 25. Let b be l(4). Let y(a) be the first derivative of 0*a + 1/10*a**4 + 0*a**2 - 2/15*a**b + 2. Factor y(j).
2*j**2*(j - 1)/5
Let c be (0 - (-865)/350) + (-8)/112. Find x such that 64/5 + 48/5*x + 1/5*x**3 + c*x**2 = 0.
-4
Factor 3/2*z**3 - 14*z**2 + 43/2*z + 21.
(z - 7)*(z - 3)*(3*z + 2)/2
Factor 2/11*g**2 - 18/11 + 0*g.
2*(g - 3)*(g + 3)/11
Let d be (1 - 1/6)*(-68)/(-25). Let o = 13/5 - d. Factor j**2 - j - o*j**3 + 1/3.
-(j - 1)**3/3
Suppose 0 = -5*u - 25, 5*i - 25 = -u - 0*u. Let v be (i/(-2))/(4 + 48/(-8)). Factor -1/2*d**4 + 0 - 3/2*d**3 - 1/2*d - v*d**2.
-d*(d + 1)**3/2
Let c(f) be the third derivative of 1/90*f**6 + 0 + 1/315*f**7 + 0*f - 1/90*f**5 + 3*f**2 - 1/18*f**4 + 0*f**3. Solve c(m) = 0 for m.
-2, -1, 0, 1
Let d(u) = -3*u**2 - 82*u - 21. Let b be d(-27). Let w(r) be the first derivative of 1/4*r + 1/12*r**3 - b + 1/4*r**2. Factor w(h).
(h + 1)**2/4
Suppose 0 = 2*h - 7 - 5. Let n(b) be the third derivative of 1/9*b**3 + 0*b**h - 1/45*b**5 + 4*b**2 + 0*b + 0*b**4 + 1/315*b**7 + 0. Factor n(v).
2*(v - 1)**2*(v + 1)**2/3
Suppose -5*n + 3*k - 15 = 0, 4*n = 6*k - 2*k - 20. Let q be 1260/225 - (0 - n)/1. Solve q*x**4 + 11/10*x + 1/5 - 49/10*x**3 - 8/5*x**5 - 2/5*x**2 = 0.
-1/4, 1, 2
Let y(h) be the third derivative of -h**7/735 - h**6/60 - h**5/21 + 3*h**2 - 2*h. Suppose y(l) = 0. What is l?
-5, -2, 0
Let x(h) be the third derivative of h**5/15 + 7*h**4/2 + 36*h**3 + 180*h**2. Determine m so that x(m) = 0.
-18, -3
Let d = 20 + -10. Suppose 9*a = 4*a + d. Factor 3*p**4 - 4*p**4 - 8*p**3 - 3*p**4 - 4*p**a.
-4*p**2*(p + 1)**2
Suppose -5*t - 3*j = -46, -4*t - 5*j = 4 - 33. Let p be 3 + t*2/8*-1. Factor 1/2*f**2 - 1/4*f**4 - 1/4 - p*f**5 + 1/2*f**3 - 1/4*f.
-(f - 1)**2*(f + 1)**3/4
Let m(j) be the second derivative of -j**6/480 + j**5/60 - 5*j**4/96 + j**3/12 + 22*j**2 - 13*j. Let x(n) be the first derivative of m(n). Factor x(y).
-(y - 2)*(y - 1)**2/4
Let a be (8/(-15))/((-12)/60). Suppose -2*u + 2*n = 10, -4*u - 8 = -5*n + 17. Factor -8/3*z**2 - a*z - 2/3*z**3 + u.
-2*z*(z + 2)**2/3
Suppose -16*c + 29 + 163 = 0. Let t be 6 - (0 + 2) - c/21. Factor -t*h - 3/7*h**2 - 48/7.
-3*(h + 4)**2/7
Let 4/9*v**2 - 4/9*v**4 + 80/9*v + 0 - 80/9*v**3 = 0. What is v?
-20, -1, 0, 1
Let f(z) be the third derivative of 0 + 0*z + 1/24*z**4 + 3*z**2 - 1/12*z**3 - 1/120*z**6 + 1/420*z**7 + 0*z**5. Let f(u) = 0. What is u?
-1, 1
Let m(g) = g**3 + 5*g**2 + 2*g - 2. Let r be m(-4). Find h such that r*h**2 +