0, 1/3, 1, 2
Let c be (-12)/(-9)*6/4. Suppose d = c + 3. What is w in 3*w**3 - d*w**3 + 3*w**3 + w**5 - 2*w**5 = 0?
-1, 0, 1
Let y = 78534/47 - 1671. Let d = y - -59/188. Factor d*a**4 + 0*a + 0 + 1/2*a**3 + 1/4*a**2.
a**2*(a + 1)**2/4
Let k be 96/540*10*(-6)/(-16). Factor 0*r + 0*r**2 + 2/3*r**3 - k*r**4 + 0.
-2*r**3*(r - 1)/3
Let m(o) be the first derivative of -o**4/4 + o**2/2 - 24. Let h(f) = 7*f**3 - 5*f**2 - 2*f. Let s(j) = h(j) + 2*m(j). Determine k so that s(k) = 0.
0, 1
Let j(s) be the second derivative of s**4/24 - s**3/2 - 32*s - 2. Find c such that j(c) = 0.
0, 6
Factor -1/2*k**4 - 3*k + k**3 + 5/2*k**2 + 0.
-k*(k - 3)*(k - 1)*(k + 2)/2
Suppose 3*c + 9 = 21. Let l(j) be the first derivative of -2*j**3 + 0*j - 3/2*j**c - 3 - 2/5*j**5 - j**2. Factor l(v).
-2*v*(v + 1)**3
Suppose -5*s = -t + 23, 2*t - s - 49 + 12 = 0. Suppose v - t = -5*p, -2*v + p + 1 = -2. Factor -v*z**3 - 57 + 2*z**4 + 57 + z**4.
3*z**3*(z - 1)
Suppose 4*l + 4*y = 12, -4*l - y - y + 14 = 0. What is t in 13*t**2 - l*t - 5 + 12*t**2 + 14*t**2 - 38*t**2 = 0?
-1, 5
Let d be ((-6)/1)/((-24)/16). Let 4*i**2 + 2*i**2 - d*i**2 + 4*i = 0. Calculate i.
-2, 0
Let w be (-412)/(-174) - (-10 - -12). Let f = -1/29 + w. Suppose 1/3*d**2 + 1/3*d**3 - 1/3*d - f = 0. Calculate d.
-1, 1
Find q such that -3091*q**4 + 1820*q + 3095*q**4 - 92*q**3 + 372*q**2 + 146 + 1206 = 0.
-2, -1, 13
Suppose -5*s + f + 21 - 3 = 0, 3*f = 6. Factor 0*x + 84*x**2 - 2*x - 89*x**2 - 4*x**3 - x**s.
-x*(x + 1)**2*(x + 2)
Let z(j) be the first derivative of 5/2*j**2 + 14 + 0*j**5 + 0*j + 0*j**3 - 5/2*j**4 + 5/6*j**6. Factor z(s).
5*s*(s - 1)**2*(s + 1)**2
Let m(p) be the first derivative of -2/9*p**5 + 5/9*p**2 - 20/27*p**3 + 54 - 2/9*p + 5/9*p**4 + 1/27*p**6. Factor m(s).
2*(s - 1)**5/9
Let k(y) = 21*y**3 - 39*y**2 + 59*y - 19. Let h(p) = 4*p**3 - 8*p**2 + 12*p - 4. Let c(v) = -22*h(v) + 4*k(v). Factor c(s).
-4*(s - 3)*(s - 1)**2
Suppose 21 = -4*k + 45. Suppose 4*g - 2*x - k = 0, 0*g = 4*g + 2*x - 26. Factor -3*f**g - 3*f**3 - f**2 - 9*f**5 - 10*f**5 + 18*f**5.
-f**2*(f + 1)**3
Let h(c) be the first derivative of -c**6/21 - 2*c**5/35 + 12*c**4/7 + 176*c**3/21 + 16*c**2 + 96*c/7 - 100. Determine z so that h(z) = 0.
-2, -1, 6
Let w be (-7)/49 - 11/(-77). Let k = -21852/5 + 4438. Factor k*z**3 + 104/5*z**2 + w + 8/5*z.
2*z*(13*z + 2)**2/5
Let a(q) = q**3 - 3*q**2 - 9*q + 11. Let y(d) = -5 - 3*d**2 + 2 + 7*d**2 + 8*d - 9. Let k(m) = -4*a(m) - 3*y(m). Determine c so that k(c) = 0.
-2, 1
Let x(i) be the second derivative of -i**7/399 + 2*i**6/285 + 4*i**5/95 + i**4/57 - 7*i**3/57 - 4*i**2/19 + 2*i - 63. Let x(u) = 0. Calculate u.
-1, 1, 4
Let u(r) be the first derivative of -r**7/336 - r**6/144 + r**5/48 + 5*r**4/48 - 2*r**3/3 - 13. Let x(a) be the third derivative of u(a). Factor x(l).
-5*(l - 1)*(l + 1)**2/2
Let j(x) be the third derivative of -11*x**5/60 + 53*x**4/120 + x**3/15 - x**2 - 9. Factor j(l).
-(l - 1)*(55*l + 2)/5
Let o be -12 + 7 + 10 + -1 + -1. Factor -4*n - 8*n + 5*n**2 - 7*n + 5*n**o + 15 - 6*n.
5*(n - 1)**2*(n + 3)
Suppose -3*i + 0*i = 0. Let h = -47 - -49. Find r, given that -r + i - 45*r**5 + 0 + 44*r**5 + h*r**3 = 0.
-1, 0, 1
Let t(a) be the first derivative of -a**6/120 - a**5/80 + 14*a + 9. Let v(r) be the first derivative of t(r). Suppose v(i) = 0. Calculate i.
-1, 0
Let v = -2026 - -2029. Let n(u) be the third derivative of 0*u - 12*u**2 + 0 - 1/54*u**4 + 0*u**v + 1/270*u**5. Factor n(d).
2*d*(d - 2)/9
Suppose 8*q = -q + 72. Factor 6 - 1 + 4*o**2 - 13 - q.
4*(o - 2)*(o + 2)
Let x = -825 + 828. Suppose -1/4*y + 1/4*y**x - 1/2*y**2 + 1/2 = 0. Calculate y.
-1, 1, 2
Let w = -153/506 + 39/46. Factor w*d**2 - 2/11*d**3 - 8/11 + 0*d.
-2*(d - 2)**2*(d + 1)/11
Let f(w) = 6*w**4 + 21*w**3 + 18*w**2 + 9*w + 3. Let j(r) = -7*r**4 - 23*r**3 - 16*r**2 - 8*r - 4. Let l(x) = -4*f(x) - 3*j(x). Determine z so that l(z) = 0.
-2, -1, 0
Factor -2/3*j**2 - 2738/3 - 148/3*j.
-2*(j + 37)**2/3
Let -58/3 - 56/3*a + 2/3*a**2 = 0. Calculate a.
-1, 29
Let x(y) be the third derivative of y**6/280 - y**4/56 - y**2 - 2. Factor x(r).
3*r*(r - 1)*(r + 1)/7
Let f be (132/63)/((-5)/((-60)/8)) + -2. Suppose 0 + 2/7*v**2 + f*v = 0. Calculate v.
-4, 0
Let r(g) be the first derivative of 2*g**3 - g**2 - 20*g + 424. Determine b so that r(b) = 0.
-5/3, 2
Let i(h) = 1 + 40*h**2 + 0 + 12*h + 0 + 3 + 15*h**3. Let m(t) = 15*t**3 + 41*t**2 + 12*t + 5. Let r(k) = -5*i(k) + 4*m(k). What is y in r(y) = 0?
-2, -2/5, 0
Suppose 5*j = -7 + 32. Let p be 2/(j + (-6)/((-3)/1)). Factor 0*y + 2/7*y**4 + 0*y**3 + p - 4/7*y**2.
2*(y - 1)**2*(y + 1)**2/7
What is n in 120 - 8 + 45*n + 16 + 27*n - 24*n + 4*n**2 = 0?
-8, -4
Find u such that -2*u**2 - 46/11*u**3 - 18/11*u**4 + 48/11*u + 40/11 - 2/11*u**5 = 0.
-5, -2, -1, 1
Let x(z) = z**3 + z - 1. Let t = 17 - 21. Let b(h) = -2*h**5 - 2*h**4 + 8*h**3 + 4*h - 4. Let j(i) = t*x(i) + b(i). Suppose j(s) = 0. What is s?
-2, 0, 1
Let v(g) = -10*g**2 + 10. Let z = 28 - 24. Let w(b) = -9*b**2 + 9. Let y(i) = z*v(i) - 5*w(i). Let y(c) = 0. What is c?
-1, 1
Let o(r) be the second derivative of -r**5/360 + r**4/48 + r**2/2 + 8*r. Let n(f) be the first derivative of o(f). Factor n(s).
-s*(s - 3)/6
Let f = 4399/1758 + -2/879. Let r(j) be the first derivative of 5/6*j**3 - 8 - 15/2*j + f*j**2. What is x in r(x) = 0?
-3, 1
Let u(q) be the first derivative of 2*q**4/9 - 16*q**3/27 - 17*q**2/3 - 10*q - 170. Suppose u(c) = 0. What is c?
-3/2, 5
Let a(l) = l**2 + 12*l + 2. Let s = -28 - -16. Let n be a(s). Factor -8*g + 0*g**3 + 4*g**3 - 4*g**n + 0*g**3.
4*g*(g - 2)*(g + 1)
Let x(f) be the third derivative of -f**7/1050 + f**6/300 + 624*f**2. Solve x(i) = 0.
0, 2
Let i(k) = -40*k**4 - 79*k**3 + 89*k**2 - 14*k. Let s(z) = 79*z**4 + 157*z**3 - 179*z**2 + 29*z. Let y(o) = -7*i(o) - 4*s(o). Suppose y(d) = 0. What is d?
-3, 0, 1/4, 2/3
Let m(r) = 2*r**2 - 43*r - 66. Let g be m(23). Let j(p) be the first derivative of -2 + 8*p - 4/3*p**g - 2*p**2. Suppose j(h) = 0. Calculate h.
-2, 1
Let a(b) be the third derivative of b**5/84 + 167*b**4/168 - 17*b**3/7 + 197*b**2. Determine o so that a(o) = 0.
-34, 3/5
Let d = -25986 - -25986. Factor 0*t + 1/7*t**3 + 1/7*t**2 + d.
t**2*(t + 1)/7
Let f(x) = -x - 3. Let c be -9 - -1 - (-6 + 3). Let l be f(c). Determine v so that -3*v**3 + 3*v**l + 6*v + 4*v**2 - 4*v**2 = 0.
-1, 0, 2
Suppose -3*q - 12 = -3*o, 2*o + 2*q - 7 = 5*q. Let p be (22/o)/((-10)/(-25)). Factor p*i - 5*i - 4*i - 5*i + 3*i**3.
3*i*(i - 1)*(i + 1)
Let x(h) be the second derivative of h**6/60 - h**5/5 + h**4/4 + 2*h**3/3 - 7*h**2/4 - 2*h - 56. Factor x(j).
(j - 7)*(j - 1)**2*(j + 1)/2
Let s(l) be the third derivative of l**7/42 + 11*l**6/24 + 7*l**5/2 + 85*l**4/6 + 100*l**3/3 - 128*l**2. Factor s(i).
5*(i + 2)**3*(i + 5)
Let g(s) be the third derivative of s**8/10080 - s**7/3780 - s**6/540 - 7*s**4/24 - 2*s**2. Let m(f) be the second derivative of g(f). Factor m(c).
2*c*(c - 2)*(c + 1)/3
Let d(t) be the third derivative of 1/420*t**5 + 0*t + 0*t**4 + 12*t**2 + 0*t**3 + 0. Find m, given that d(m) = 0.
0
Let o(j) be the second derivative of j**4/4 + 29*j**3/2 + 2*j + 615. Factor o(b).
3*b*(b + 29)
Let d(z) = 2*z - 9. Let n be d(7). Let 122*p**2 + 108*p**3 + 41*p**2 + 53*p**2 + p**n + 18*p**4 = 0. What is p?
-6, 0
Let u(m) be the first derivative of -15*m + 5/3*m**3 - 6 + 5*m**2. Factor u(q).
5*(q - 1)*(q + 3)
Let f = -1289 + 1297. Let 16/11 - 38/11*u**4 - f*u + 148/11*u**2 - 58/11*u**3 + 20/11*u**5 = 0. Calculate u.
-2, 2/5, 1/2, 1, 2
Suppose 0 = -209*k + 17*k. Find n, given that 2/11*n + k - 6/11*n**2 - 8/11*n**3 = 0.
-1, 0, 1/4
Suppose -2*a - 4*a = -12. Let r be (-10)/(-2) + (-4)/a. What is s in 4*s + s**r - 7*s**2 - 9*s**2 + 2*s**2 + 9*s**3 = 0?
0, 2/5, 1
Let x(w) be the first derivative of w**4/10 + w**3 + 12*w**2/5 - 16*w/5 + 113. Factor x(k).
(k + 4)**2*(2*k - 1)/5
Let c(l) = 3*l**2 - 133*l + 258. Let r be c(2). Let a(s) be the third derivative of 0 - 1/60*s**5 + 0*s**r + 2*s**2 + 0*s**3 + 0*s. Factor a(v).
-v**2
Let f be (6 - 9)*(2/6 - 1). Let y(a) be the third derivative of 0*a**3 + 5*a**f + 1/120*a**5 + 1/168*a**7 + 7/480*a**6 + 0*a**4 + 0*a + 0. Factor y(w).
w**2*(w + 1)*(5*w + 2)/4
Suppose -k + 140 = 5*w, -2*w + k + 56 = 4*k. Let v be 21/w - 3/4. Solve 0*z + v*z**3 - 3*z**3 - 6*z**2 - 3*z + 0*z = 0 for z.
-1, 0
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