ose -59*d = 4*s - 64*d - 32, 2*d + 11 = s. Factor 16/5*k**5 + 2/5*k**2 - 6/5*k + 0 - 42/5*k**4 + 6*k**s.
2*k*(k - 1)**3*(8*k + 3)/5
Let h(z) = -1. Let q = -1 - -2. Let t(m) = -5*m**2 + 5*m - 2. Let u(l) = l**2 - 35*l - 2. Let i be u(35). Let j(s) = i*h(s) + q*t(s). Factor j(o).
-5*o*(o - 1)
Let j be (-7)/35*((-40)/(-3))/(-8). Let f(v) be the third derivative of 1/24*v**4 + 0 - 1/60*v**5 + j*v**3 - 23*v**2 + 0*v. Determine b, given that f(b) = 0.
-1, 2
Suppose 9*l - 170 = -26. Let 83 - l*s**2 - 4*s - 139 - 4*s**3 + 80 = 0. Calculate s.
-3, -2, 1
Let s(p) be the first derivative of -p**4/16 + p**3/4 + 2*p**2 + 3*p + 1902. Factor s(w).
-(w - 6)*(w + 1)*(w + 2)/4
Let g(q) = -13*q**2 - 6*q + 28. Let i(y) = 23*y**2 + 10*y - 55. Let o(d) = -7*g(d) - 4*i(d). Find m, given that o(m) = 0.
-4, 6
Let u be 84/30 + 5/(-35)*21/(-15). What is g in 3/4*g**u + g**2 - 17/4*g - 3/2 = 0?
-3, -1/3, 2
Factor -519/2*u + 1/2*u**3 + 259*u**2 + 0.
u*(u - 1)*(u + 519)/2
Let j(z) = -z**3 - 12*z**2 + 24*z - 86. Let c be j(-14). Let s be (-2)/c*7 - (-85)/(-255). Factor 0 - s*u**3 + 4/15*u**2 + 0*u.
-2*u**2*(u - 2)/15
Let a(x) = -x**2 - 86*x - 259. Let y(f) = -3*f**2 - 257*f - 779. Let j(s) = -14*a(s) + 4*y(s). Factor j(i).
2*(i + 3)*(i + 85)
Let c = 31001/12 + -7748/3. Factor -15/2 + c*u**2 + 27/4*u.
3*(u - 1)*(u + 10)/4
Determine p so that 43/4 + 1/4*p**3 - 1/4*p - 43/4*p**2 = 0.
-1, 1, 43
Factor 0 - 561/7*k**3 + 78399/7*k**2 + 78961/7*k + 1/7*k**4.
k*(k - 281)**2*(k + 1)/7
Let k = -1576778/5 + 315358. Determine f, given that -23/10*f + 1/10*f**2 - k = 0.
-1, 24
Determine p, given that 0*p**2 + 291 + 60 + 158 + 395*p - 109 - 5*p**2 = 0.
-1, 80
Let g = -241 - -1429/6. Let h = g - -13/3. What is c in 9/4 + 3/2*c - 2*c**2 - 1/4*c**4 - h*c**3 = 0?
-3, -1, 1
Let f(u) be the first derivative of -u**6/2520 - u**5/40 + 61*u**3 - u**2/2 - 79. Let s(v) be the third derivative of f(v). Factor s(b).
-b*(b + 21)/7
Suppose -365*w = 64*w - 1716. Let f(z) be the second derivative of -40 + 2*z + 1/78*z**w + 2/13*z**3 + 5/13*z**2. Let f(y) = 0. Calculate y.
-5, -1
Let m be 2 + (-3)/(27/9)*(5 + -3). Let v(a) be the first derivative of 0*a**2 - 4/21*a**3 + m*a - 1/14*a**4 - 5/21*a**6 + 16/35*a**5 - 26. Factor v(i).
-2*i**2*(i - 1)**2*(5*i + 2)/7
Find t, given that 3674/3*t + 1/3*t**2 + 3374569/3 = 0.
-1837
Determine s so that -48/5*s**2 + 312/5 - 76/5*s + 4/5*s**3 = 0.
-3, 2, 13
Let n(h) = -h**3 + 3*h**2 + 16*h - 18. Let u be n(1). Let y(k) be the second derivative of u - 1/8*k**4 + 1/4*k**3 + 3/2*k**2 - 3*k. Factor y(s).
-3*(s - 2)*(s + 1)/2
Let c be (-2)/(-18)*(-18)/(-21). Let l = c + 64/63. Factor -2/3*f + 0 + l*f**2 - 2/9*f**4 - 2/9*f**3.
-2*f*(f - 1)**2*(f + 3)/9
Let j(d) be the third derivative of -9/8*d**4 + 1/60*d**6 + 1/336*d**8 + 0*d + 5/3*d**3 - 24 + 2*d**2 - 1/35*d**7 + 1/3*d**5. Let j(o) = 0. Calculate o.
-2, 1, 5
Let i = -27 + 30. Factor -k**4 - 2*k + 0*k**4 - 2*k**2 + 2*k - i*k**3.
-k**2*(k + 1)*(k + 2)
Factor -860/3*t**2 + 0 + 152/3*t**3 + 0*t + 4/3*t**4.
4*t**2*(t - 5)*(t + 43)/3
Let a(n) be the first derivative of -33/2*n**2 + n**3 + 0*n + 81. Determine r so that a(r) = 0.
0, 11
Let g be (-134)/18*(1 - -11)/(-4). Let u = -65/3 + g. Factor -u*m + 0 + 2/3*m**2.
2*m*(m - 1)/3
Let q = 105160 - 105158. Find g, given that 2*g**5 + 96*g**3 - 128/3 + 64*g + 70/3*g**4 + 472/3*g**q = 0.
-4, -2, 1/3
Let v(x) = 25*x**3 - 25*x**2 - 25*x + 25. Let a(s) = -s**3 + s**2 + s - 1. Suppose -5*t = 0, -16*t - 1 = d - 20*t. Let m(g) = d*v(g) - 30*a(g). Factor m(l).
5*(l - 1)**2*(l + 1)
Let u be -4 - (-40)/5 - -1. Suppose u*f + 66 = 11*f. Factor -2*d**4 - 12*d**2 + 59*d**3 - 19*d**4 - f*d**3.
-3*d**2*(d - 2)*(7*d - 2)
Let w(g) = -2*g**2 + 30*g + 3. Let d be w(15). Determine r, given that -2*r**2 - 198*r**3 + 204*r**3 - d*r**4 - r**2 = 0.
0, 1
Let t(s) be the third derivative of s**5/40 + 25*s**4/4 - 101*s**3/4 - 476*s**2. Factor t(n).
3*(n - 1)*(n + 101)/2
Let i(g) be the third derivative of -g**6/12 + 669*g**5/10 - 401*g**4/6 - 62*g**2 + 26*g - 1. Suppose i(p) = 0. Calculate p.
0, 2/5, 401
Let p(j) = j**3 + j**2 + j. Let v(s) be the second derivative of 5*s**4/3 - 14*s**3/3 - 25*s**2 + 3*s + 3. Let r(i) = 2*p(i) - v(i). Factor r(a).
2*(a - 5)**2*(a + 1)
Let p(y) = -9*y**2 - 1501*y + 2853. Let h(g) = -8*g**2 - 1500*g + 2884. Let o(x) = -5*h(x) + 4*p(x). Factor o(f).
4*(f - 2)*(f + 376)
Let a(s) = -12*s + 4. Let j be a(1). Let g be -2 + (-10)/((j - -3) + 3). Let -9/4*y**3 - 15/8*y**4 - 3/8*y**5 + 0 + 3/2*y**2 + g*y = 0. Calculate y.
-2, 0, 1
Suppose -1234 = -6*g + 494. Let c = g + -573/2. Factor 3/2*s - 3/2*s**3 + c*s**2 - 3/2.
-3*(s - 1)**2*(s + 1)/2
Let j(h) be the third derivative of 3*h - 1/252*h**8 + 4/45*h**6 + 0*h**3 + 0 + 0*h**5 + 4/315*h**7 + 5*h**2 + 0*h**4. Factor j(f).
-4*f**3*(f - 4)*(f + 2)/3
Let n(c) be the first derivative of -c**3/24 - 15*c**2/8 - 2837. Factor n(a).
-a*(a + 30)/8
Determine f, given that -97/8*f**2 + 3/4 - 7/4*f**3 - 77/8*f = 0.
-6, -1, 1/14
Factor 36/5*f + 0 - 4/5*f**3 + 36/5*f**2 - 4/5*f**4.
-4*f*(f - 3)*(f + 1)*(f + 3)/5
Let h(r) = -20*r**2 + 4*r + 19. Let i(s) = 9*s**2 - 2*s - 9. Let g(q) = 3*h(q) + 7*i(q). Let w be g(2). Solve -1/2 - k - 1/2*k**w = 0 for k.
-1
Let j(f) be the first derivative of -28*f**2 - 1176*f - 2/9*f**3 + 83. Factor j(w).
-2*(w + 42)**2/3
Let l(o) be the second derivative of -o**7/3780 - o**6/405 - 25*o**3/3 + 61*o - 3. Let y(m) be the second derivative of l(m). What is n in y(n) = 0?
-4, 0
Let k(x) = 2*x + 18. Let h be k(-9). Suppose 374 = 234*w - 94. Factor 1/2*n**3 + h*n**w - 3/2*n - 1.
(n - 2)*(n + 1)**2/2
Let o(v) = -v**3 - 6*v**2 + 6*v - 3. Let q be o(-7). Factor 133*u**4 - 2*u**2 - 134*u**4 + 5 - 4*u**3 + q*u - 2.
-(u - 1)*(u + 1)**2*(u + 3)
Let x(p) be the first derivative of p**6/4 + 48*p**5/5 + 69*p**4 - 576*p**3 + 972*p**2 + 3212. Factor x(u).
3*u*(u - 2)**2*(u + 18)**2/2
Solve 44 - 840*d + 1648*d**2 + 52 + 828*d**2 + 442*d + 1366*d - 100*d**4 + 160*d**3 = 0.
-4, -1/5, 6
Let k(y) be the third derivative of -y**8/3024 - y**7/210 + y**6/135 + 2*y**5/15 - 2*y**4/27 - 8*y**3/3 + 342*y**2. Determine x so that k(x) = 0.
-9, -2, 2
Let r be (1112/1390)/(0 + (-6)/(-15)). Factor -81/4*i + 15/4*i**r + 15/2.
3*(i - 5)*(5*i - 2)/4
Let h(n) be the second derivative of -12*n**6/5 + n**5 + 56*n**4/3 + 8*n**3 - 1725*n. Suppose h(i) = 0. What is i?
-3/2, -2/9, 0, 2
Let b(d) = -2*d**3 + 362*d**2 + 1103*d + 194. Let z be b(184). Find k, given that -14/3*k**2 - z*k - 2/3*k**3 - 6 = 0.
-3, -1
Let n be -7 - (10 + (-5 - 12)). Let h(m) be the first derivative of n*m + 1/2*m**3 + 6 + 0*m**2 + 3/4*m**6 + 3/8*m**4 - 3/2*m**5. Factor h(w).
3*w**2*(w - 1)**2*(3*w + 1)/2
Suppose -56 + 11 = -9*z. Find s such that -21*s**4 - 33*s**3 + 15*s + 24*s**z - 48 + 27*s - 12*s + 69*s**2 - 21*s**5 = 0.
-2, -1, 1, 8
Let t(j) = j - 1. Let i(k) = 6*k - 12. Let g(b) = -4*i(b) + 20*t(b). Let o be g(7). Find w such that 5/6*w**4 + 5/6 - 5/3*w**2 + 0*w + o*w**3 = 0.
-1, 1
Factor -365/4*i - 133225/8 - 1/8*i**2.
-(i + 365)**2/8
Let a be (-166)/(-913) + 2 + (-41818)/(-22). Let i = -1898 + a. Factor i*s + 0 - 16*s**2 + 57/4*s**3 - 9/4*s**4.
-s*(s - 5)*(3*s - 2)**2/4
Let c(q) be the third derivative of -q**5/30 + 23*q**4/3 - 60*q**3 - 8564*q**2. Factor c(d).
-2*(d - 90)*(d - 2)
Let d(c) be the third derivative of 27/4*c**5 + 2/3*c**3 + 25/6*c**7 + 0 + 0*c - 205/24*c**6 + 132*c**2 - 67/24*c**4. Determine y so that d(y) = 0.
1/5, 4/7
Suppose -95*u + 27 + 124 + 39 = 0. Let r = -605/2 - -304. Find z such that -r*z**u - 96 - 24*z = 0.
-8
Let c(m) = 6*m**2 - 14*m + 14. Suppose -5*w + 126 = 1. Let p(g) = -95*g + 55 + w*g**2 + 103*g - 63*g. Let o(k) = 9*c(k) - 2*p(k). Let o(n) = 0. What is n?
2
Solve -2/9*m**5 - 8*m + 4/3*m**4 + 112/9 - 76/9*m**2 + 26/9*m**3 = 0 for m.
-2, 1, 2, 7
Suppose -4*w + 245 = -3*j + 2*j, 4*w + 5*j = 215. Suppose 83*d = w + 106. Factor 9/4*r + 1/4*r**d + 2.
(r + 1)*(r + 8)/4
Let u(c) be the third derivative of 3 + 0*c**5 + 0*c + 1/140*c**6 + 0*c**3 - 1/735*c**7 - 5*c**2 - 1/21*c**4. Factor u(s).
-2*s*(s - 2)**2*(s + 1)/7
Let c(m) be the third derivative of -m**5/12 - 415*m**4/3 - 275560*m**3/3 - 508*m**2 + 1. Factor c(z).
-5*(z + 332)**2
Let o(l) be the second derivative of l**6/14 - 201*l**5/140 + 121*l**4/28 + 127*l**3/14 - 99*l**2/7 + 1399*l. Determine y, give