t f(s) = -s**5 + 2*s**4 + 20*s**2 - 4*s + 3. Let l(o) = o**4 - o**3 + o**2 + 3. Let v(t) = f(t) - 5*l(t). Solve v(j) = 0 for j.
-3, -2, -1, 1, 2
Let -19/4 + 5*u - 1/4*u**2 = 0. Calculate u.
1, 19
Let l(p) = -p**2 + 477*p + 7893. Let b be l(-16). Find f such that -2/3*f**b - 4*f**3 + 14/3*f - 10/3*f**4 + 2 + 4/3*f**2 = 0.
-3, -1, 1
Let y = 10 - 7. Let m be (y/(-6))/(4/(-24)). Factor u + 0*u + u**m + 3*u**2 + u.
u*(u + 1)*(u + 2)
Let 56*s**2 + 0 - 40/3*s - 82/3*s**3 - 20*s**4 + 14/3*s**5 = 0. Calculate s.
-2, 0, 2/7, 1, 5
Let l be (-2)/(-8) + 231/(-44). Let c be 27/(45/l) + 41/11. Factor 2/11*m**2 + c - 10/11*m.
2*(m - 4)*(m - 1)/11
Suppose 0 = -2*o + 5*c + 15, 0 = -5*c + 9 + 6. Let y be (-16)/o*10/(-4). Factor -6*q**3 + y*q**2 + 16/3*q**4 + 0 - 1/3*q - 5/3*q**5.
-q*(q - 1)**3*(5*q - 1)/3
Let c be 1/(-5 + 6 + -2). Let a(z) = 4*z**4 - 28*z**3 + 32*z**2. Let l(x) = -x**3 - x**2. Let m(y) = c*a(y) + 4*l(y). Factor m(n).
-4*n**2*(n - 3)**2
Factor 165*q - 69/7*q**2 + 175 + 1/7*q**3.
(q - 35)**2*(q + 1)/7
Let s(f) be the third derivative of -f**8/16 + 4*f**7/7 - 23*f**6/40 - f**5/2 - 58*f**2. Let s(d) = 0. What is d?
-2/7, 0, 1, 5
Let r(d) be the first derivative of -3*d**4/32 + 3*d**2/16 + 462. Let r(t) = 0. What is t?
-1, 0, 1
Let y(o) be the first derivative of 2*o**5/105 - 5*o**4/42 + 2*o**3/21 + 3*o**2/7 - 114. Factor y(i).
2*i*(i - 3)**2*(i + 1)/21
Let t(i) = -i**3 - 63*i**2 + 272*i + 270. Let q be t(-67). Find x such that 0 - 2/3*x**q - 2/9*x - 2/3*x**3 - 2/9*x**4 = 0.
-1, 0
Let b(j) = -j**2 + j. Let r(f) = 6*f**2 - 6*f. Suppose 0 = -4*l - 16. Let a = l - -5. Let h(n) = a*r(n) + 4*b(n). Suppose h(m) = 0. What is m?
0, 1
Let d be (8*2/24)/((-2)/(-6)). Factor 2*w**3 - 60*w**2 - 63*w**d - 8*w + 127*w**2 - 16.
2*(w - 2)*(w + 2)**2
Let n(w) be the second derivative of 8/39*w**3 - 3/13*w**2 - 1/65*w**5 - 1 - 1/26*w**4 - 9*w. Solve n(f) = 0 for f.
-3, 1/2, 1
Let i be (-8 - 3718/(-455))*(7 + 0). Solve i*f**2 - 6/5 + 3/5*f**3 - 3/5*f = 0 for f.
-2, -1, 1
Suppose c - 16 = -0*c. Factor -46 + 46 + 324*f**3 - 170*f**2 + c*f + 26*f**2.
4*f*(9*f - 2)**2
Let g = -10 - -23. Determine s, given that 2 + 2 + 21*s + 54*s**2 - 4*s + g*s = 0.
-1/3, -2/9
Let u be (-6)/(-63) + 4224/924. Solve 32/3 - u*s**2 - 2/3*s**3 - 16/3*s = 0.
-4, 1
Find b such that -2*b**4 - 6/7*b**3 - 2/7*b**5 + 8/7*b - 24/7 + 38/7*b**2 = 0.
-6, -2, -1, 1
Suppose -4*l - 6 = -14. Suppose 0 = 3*y - a - l*a - 3, -5*y - a + 23 = 0. Determine z so that 2*z**5 - 2*z**4 + 2*z**4 + 2*z**y = 0.
-1, 0
Let v(h) = 2*h**2 - 25*h - 19. Let m be v(13). Let q(x) = -2*x**2 - 13*x - 4. Let w be q(m). Let 0*b - 1/2*b**w + 0*b**3 + 0 + 1/2*b**4 = 0. Calculate b.
-1, 0, 1
Find o, given that 0*o**2 - 3/2*o**4 + 0*o + 3/2*o**3 + 0 = 0.
0, 1
Let c = -872/39 - -308/13. Suppose -2/3*m**2 - 2/3 + c*m = 0. What is m?
1
Let m = 233/267 - 48/89. Let g(x) be the first derivative of 0*x**2 + 0*x - 2 + m*x**3. Factor g(k).
k**2
Let y(b) = -b**2 - 416*b - 415. Let m be y(-1). Factor m*a + 1/3 - 1/3*a**2.
-(a - 1)*(a + 1)/3
Factor 1/4*n**3 + 0*n - 5/2*n**2 + 0.
n**2*(n - 10)/4
Let k be (-10)/7*(-70)/20 + 1. Let b(v) be the third derivative of 0*v - 1/40*v**6 + k*v**2 + 0*v**4 + 0 + 0*v**3 - 1/20*v**5. Factor b(a).
-3*a**2*(a + 1)
Let b(u) be the second derivative of -5/108*u**4 - 2/189*u**7 + 0*u**2 + 1/60*u**5 - 22*u + 0 + 1/54*u**3 + 1/54*u**6. Find i, given that b(i) = 0.
-1, 0, 1/4, 1
Let m(g) be the third derivative of g**8/26880 + g**7/3360 + g**6/960 + g**5/480 - 7*g**4/24 - 2*g**2. Let v(b) be the second derivative of m(b). Factor v(w).
(w + 1)**3/4
Let n(h) be the third derivative of 5/4*h**4 + 35/6*h**3 - h**2 - 1/12*h**5 + 0*h + 0. Factor n(j).
-5*(j - 7)*(j + 1)
Let w = -76 + 68. Let n be 4/(-6) + 10 + w. Determine q so that 2/3*q - n + 2/3*q**2 = 0.
-2, 1
Factor 0 - 8/7*s**3 + 50/7*s + 5/7*s**2 + 1/7*s**4.
s*(s - 5)**2*(s + 2)/7
Let c be (2 - (20/(-80) - 17/(-4)))/(-8). What is s in -1/2 + 1/4*s**3 + 1/2*s**2 - c*s = 0?
-2, -1, 1
Let a(j) = -2*j**2 + 1. Let d(x) = 7*x**2 + 95*x - 246. Let w(z) = 6*a(z) + d(z). Suppose w(k) = 0. Calculate k.
3, 16
Suppose -4*a - a + 5 = -4*m, -4*m + 25 = a. Suppose 2*x + 5 = a. Factor -3/2*y + x - 1/2*y**2.
-y*(y + 3)/2
Let g be (15/(-2))/(66/24 - 2). Let o be (-1)/g*(4 - 0). Find y, given that -2/5*y**3 + 2/5*y - o*y**4 + 2/5*y**2 + 0 = 0.
-1, 0, 1
Let u(y) be the first derivative of -y**7/70 + y**5/10 - y**3/2 + 6*y**2 - 13. Let m(h) be the second derivative of u(h). Solve m(w) = 0.
-1, 1
Factor -27/2*m**2 - 24 - 111*m.
-3*(m + 8)*(9*m + 2)/2
Let i = -564 - -569. Let y(l) be the second derivative of 1/30*l**i + 5/27*l**3 + 0 + 7/54*l**4 + 1/9*l**2 - 4*l. Factor y(n).
2*(n + 1)**2*(3*n + 1)/9
Let p be -1*3*12/(-9). Let -11 - g**3 - 2*g**p + 11 - g**5 + 0*g**3 = 0. What is g?
-1, 0
Let p(s) = -s**3 + 2*s**2 - 54. Let j be p(0). Let l = j + 54. Factor 1/5*d**2 - 4/5*d**3 + 0 + l*d + 3/5*d**4.
d**2*(d - 1)*(3*d - 1)/5
Let j(m) be the second derivative of m**3/6 - 6*m**2 + 10*m. Let n be j(13). Factor -4 - 127*u**3 + 125*u**3 + n + 7 + 6*u.
-2*(u - 2)*(u + 1)**2
Suppose -6 + 36 = 2*q. Let w = -12 + q. Factor 8 - p - 9*p + 4*p**w - 2*p.
4*(p - 1)**2*(p + 2)
Let a(d) be the second derivative of -d**5/4 - 65*d**4/12 - 10*d**3 + 233*d. Factor a(k).
-5*k*(k + 1)*(k + 12)
Let g(r) be the second derivative of 6*r + 0 - 4*r**2 - 13/5*r**5 + 2/3*r**6 + 2/3*r**3 + 3*r**4. What is b in g(b) = 0?
-2/5, 1
Let n be -3*20/(-18)*72/120. Factor 1/2*b**4 + 3/2 - b - 2*b**n + b**3.
(b - 1)**2*(b + 1)*(b + 3)/2
Suppose -19*z + 9*z + 20 = 0. Determine i, given that 2/3 + 1/3*i**z - i = 0.
1, 2
Let r(t) = 48*t**2 + 267*t + 1056. Let x(g) = -5*g**2 - 3*g**2 - 35*g - 151 - 3*g + g**2. Let o(c) = -4*r(c) - 27*x(c). Factor o(p).
-3*(p + 7)**2
Let a = 4386 - 13154/3. Solve 2 - a*p - 2/3*p**2 = 0 for p.
-3, 1
Factor 0 + r - 1/3*r**2.
-r*(r - 3)/3
Let r be 0 + -1*3 - (16 + -5). Let f be (-28)/49*r/4. Find j, given that -1/2*j**3 + 0*j**f + j**4 + 0 + 0*j - 1/2*j**5 = 0.
0, 1
Let o(k) = 8*k - 10. Let a be o(2). Suppose -21 = -13*z + a*z. Find t, given that -3/4*t**z + 3/4*t**2 + 3/4*t - 3/4 = 0.
-1, 1
Determine g so that -237/7*g**2 - 414/7*g**3 + 0 + 162/7*g - 15/7*g**4 = 0.
-27, -1, 0, 2/5
Suppose -3*t - t = 4*k - 32, -3*t - 36 = -2*k. Determine h, given that 6/5*h**2 + 0 - 9/5*h**3 + 0*h - k*h**4 = 0.
-2/5, 0, 1/4
Let s(n) be the first derivative of -4/3*n - 5/9*n**3 + 45 + 4/3*n**2 + 1/12*n**4. Solve s(o) = 0.
1, 2
Factor 76869*v**3 + 14*v**2 - 20*v**4 - 76865*v**3 - 4*v + 6*v**2.
-4*v*(v - 1)*(v + 1)*(5*v - 1)
Let m(d) = d**2 - 12*d + 20. Suppose -2*v + 13 + 6 = p, -5*p = v - 5. Let w be m(v). Factor 1/7*k**2 + w*k + 0 + 1/7*k**3.
k**2*(k + 1)/7
Let i(f) = -f + 20. Let g be i(6). Determine r, given that 1 - 15*r**2 + 3*r + 3 + g*r**2 = 0.
-1, 4
Let v(x) be the second derivative of 4*x**6/15 - 17*x**5/10 + 4*x**4 - 13*x**3/3 + 2*x**2 - 215*x. Factor v(o).
2*(o - 2)*(o - 1)**2*(4*o - 1)
Let o(h) be the second derivative of 5*h**6/24 - 11*h**5/4 + 539*h**4/48 - 83*h**3/6 + 15*h**2/2 + 79*h. Factor o(i).
(i - 5)*(i - 3)*(5*i - 2)**2/4
Let w(h) = h**2 - 5. Let j be w(-3). What is f in -52*f - j - 8 - 41*f**3 + 4 + 5*f**3 - 80*f**2 = 0?
-1, -2/9
Suppose 4*n = -t - 12, -3*t + 11*n - 9*n + 6 = 0. Let v be t/(4/(2/1)). Factor 0 + 2/5*d**3 + 2/5*d**2 + v*d - 4/5*d**4.
-2*d**2*(d - 1)*(2*d + 1)/5
Let r(d) be the first derivative of 3*d**5/5 - 7*d**4/2 - 13*d**3/3 + 22*d**2 - 20*d - 131. What is p in r(p) = 0?
-2, 2/3, 1, 5
Let r = -62 - -67. Solve 34*c - 17*c + 13*c + 36 + r*c**2 + 4 = 0.
-4, -2
Let z(f) = 4*f - 97. Let o be z(25). Let u(w) be the third derivative of w**o + 1/90*w**5 - 1/6*w**4 + 0 + 0*w + 3*w**2. Factor u(c).
2*(c - 3)**2/3
Suppose 0 - 35/4*b**2 - 6*b - b**3 = 0. Calculate b.
-8, -3/4, 0
Let v(p) be the first derivative of -2*p**3/45 + 7*p**2/15 - 8*p/5 + 33. Factor v(h).
-2*(h - 4)*(h - 3)/15
Let q be (-35)/(-14) + (-3)/6. Solve 13*b + 11*b + b**q - 21*b + 2 + 0*b**2 = 0.
-2, -1
Suppose -9*o + 12*o - 6 = 0. Factor -v + 0 - 2*v**o + v**2 + 3 - 1.
-(v - 1)*(v + 2)
Let b(z) be the third derivative of -z**7/385 + 2*z**6/165 - z**5/110 - z**4/66 - 66*z**2. Determine y so that b(y) = 0.
-1/3, 0, 1, 2
Let r be 10/8 + 21/28. Let i be 12/(-45)*(-24)/16. Factor i - 2/5*s**r + 0*s.
-2*(s - 1)*(s + 1)/5
Let m(n)