 0*u - 2/9*u**5 + 0*u**2 - 4/9*u**3.
-2*u**3*(u + 1)*(u + 2)/9
Determine q, given that 0 + q - 1/4*q**2 = 0.
0, 4
Suppose 6*s - 36 = 3*s. Suppose 3*m - s = 3*z - z, z = -m - 1. Let 8*f**2 + 4*f**4 - f - 10*f**3 - f + 2*f**4 - m*f**4 = 0. Calculate f.
0, 1/2, 1
Let s(x) be the third derivative of x**10/1134000 - x**9/453600 - x**8/75600 - 7*x**5/60 - x**2. Let o(b) be the third derivative of s(b). Factor o(h).
2*h**2*(h - 2)*(h + 1)/15
Let n be ((-3)/8 - 0)/(45/(-60)). Let q(x) be the first derivative of 1/6*x**2 + 1/2*x**4 + 0*x - n*x**3 - 1/6*x**5 - 7. Find w such that q(w) = 0.
0, 2/5, 1
Let k = -67 - -107. Let u be 25/9 + -3 - k/(-18). Factor 0*p + 2/5*p**4 + 2/5*p**u + 0 - 4/5*p**3.
2*p**2*(p - 1)**2/5
Let f(g) be the third derivative of -g**8/1512 - 2*g**7/945 + g**6/540 + g**5/135 - 2*g**2 - g. Determine t, given that f(t) = 0.
-2, -1, 0, 1
Let b(k) be the third derivative of -k**6/210 - 3*k**5/35 - 6*k**2 + 6. Suppose b(z) = 0. What is z?
-9, 0
Find p, given that -24 + 28*p - 32/3*p**2 + 4/3*p**3 = 0.
2, 3
Let o(h) be the third derivative of h**7/2100 + h**6/900 + 13*h**3/2 + 19*h**2. Let t(s) be the first derivative of o(s). Factor t(f).
2*f**2*(f + 1)/5
Let v(t) be the third derivative of 1/9*t**4 - 4/9*t**3 + 7*t**2 + 1/30*t**5 - 1/45*t**6 + 0 + 1/315*t**7 + 0*t. Factor v(c).
2*(c - 2)**2*(c - 1)*(c + 1)/3
Let l(i) be the second derivative of 5*i**7/42 - 5*i**6/3 + 39*i**5/4 - 185*i**4/6 + 170*i**3/3 - 60*i**2 - 11*i + 4. Solve l(z) = 0 for z.
1, 2, 3
Factor -1/4*j**2 - 45/4 + 7/2*j.
-(j - 9)*(j - 5)/4
Let p(m) = -14*m**4 - 65*m**3 - 94*m**2 - 64*m - 9. Let z(t) = -14*t**4 - 64*t**3 - 94*t**2 - 62*t - 10. Let k(j) = 4*p(j) - 6*z(j). Factor k(s).
4*(s + 1)**2*(s + 2)*(7*s + 3)
Factor -380*n + 770*n - 379*n - n**2 - 24.
-(n - 8)*(n - 3)
Let s be (-4)/(-14) - (-24)/(-84). Let t(i) be the second derivative of 2/3*i**3 + s + 3*i**2 - 1/6*i**4 + i. Find z such that t(z) = 0.
-1, 3
Let r be (-86)/(-215) - (16/(-10) + -1). Find z such that -r*z**3 - 2*z**3 + 3*z - 8*z + 10*z**2 = 0.
0, 1
Determine s so that -3/4*s**5 + 63/4*s**3 - 3/2*s**4 - 15*s + 18 - 33/2*s**2 = 0.
-6, -1, 1, 2
Let f(g) be the second derivative of -13/51*g**3 - 30*g + 11/102*g**4 + 2/17*g**2 + 0. Factor f(i).
2*(i - 1)*(11*i - 2)/17
Let n(x) be the third derivative of -1/36*x**4 - 22*x**2 + 0*x + 1/9*x**3 + 0 - 1/90*x**5 + 1/180*x**6. Let n(u) = 0. Calculate u.
-1, 1
Suppose 15*t = 19*t - 8. Factor 2*a**3 - t*a**2 + a + 7*a**3 - 8*a**3.
a*(a - 1)**2
Let b = -145 - -149. Let o(u) be the second derivative of -2*u**3 + 0 - 1/4*u**4 + b*u - 9/2*u**2. What is c in o(c) = 0?
-3, -1
Let s(x) be the first derivative of -x**5/40 + x**4/8 - x**2 - 18*x + 11. Let o(g) be the first derivative of s(g). Let o(l) = 0. Calculate l.
-1, 2
Let k(h) = -h**3 - 12*h**2 - 14. Let r be k(-12). Let m = r - -16. Solve 2*p - 78*p**2 - 5*p + 77*p**m = 0 for p.
-3, 0
Let j(l) be the first derivative of l**5/20 + l**4/3 + 46*l + 39. Let f(g) be the first derivative of j(g). Solve f(t) = 0 for t.
-4, 0
Let b(q) be the first derivative of q**6/30 - q**5/5 + 3*q**4/20 + q**3/3 - 2*q**2/5 + 62. Solve b(f) = 0.
-1, 0, 1, 4
Let b = 24 - 21. Factor -4*c**b + 4*c**3 - 2*c + 4*c**3 - 2*c.
4*c*(c - 1)*(c + 1)
Let h(w) = 5*w**2 - 39*w + 54. Let q(x) be the first derivative of 10*x**3 - 235*x**2/2 + 325*x + 10. Let s(k) = 25*h(k) - 4*q(k). Solve s(a) = 0.
2, 5
Let a = 7951 - 7949. Find x such that 12/13*x - 2/13*x**a - 18/13 = 0.
3
Let u(i) be the third derivative of -2*i**7/2205 + i**6/420 + i**5/210 + 5*i**4/24 + i**2. Let k(p) be the second derivative of u(p). Let k(q) = 0. Calculate q.
-1/4, 1
Let f(d) be the second derivative of -d**5/240 - d**4/12 - 17*d**3/72 + 5*d**2/4 - 117*d. What is j in f(j) = 0?
-10, -3, 1
Let u(n) be the third derivative of 1/600*n**6 + 14*n**2 - 1/1050*n**7 + 0 + 2/15*n**3 + 3/100*n**5 + 0*n + 11/120*n**4. Factor u(i).
-(i - 4)*(i + 1)**3/5
Suppose 0 = -8*s + 13 - 26 + 29. Factor 2/3*y**5 - 4/3*y + 2/3*y**4 + 0 - 2*y**3 - 10/3*y**s.
2*y*(y - 2)*(y + 1)**3/3
Let q(n) = n**2 - 5*n + 9. Let z be q(4). Suppose 4*s**z - 7*s + 12*s**4 - 3*s**4 - 1 + s - 8*s**2 + 2*s**3 = 0. Calculate s.
-1, -1/4, 1
Let g(n) = n**2 - 508*n + 5470. Let w be g(11). Let 12/5*s**w + 111/5*s**2 + 123/5*s + 24/5 = 0. What is s?
-8, -1, -1/4
Let l(c) be the second derivative of -3*c**5/100 - c**4/20 + 13*c**3/5 - 36*c**2/5 - 151*c. Determine d so that l(d) = 0.
-6, 1, 4
Let a be 132/(-858) - (-51)/78. Solve 5*b**3 + 5*b**2 + 5/2*b + 5/2*b**4 + 1/2 + a*b**5 = 0 for b.
-1
Let b(u) = -5*u**2 + 68*u + 2098. Let i(x) = 14*x**2 - 208*x - 6297. Let w(y) = -17*b(y) - 6*i(y). What is k in w(k) = 0?
-46
What is p in 297/2*p**2 + 5/2*p**3 + 59*p + 0 = 0?
-59, -2/5, 0
Let t(l) = -5*l + 25. Let i(o) = 19*o - 102. Let y(m) = 2*i(m) + 9*t(m). Let h be y(3). Factor 0*u**3 + h*u + 0 - 1/2*u**4 + 1/2*u**2.
-u**2*(u - 1)*(u + 1)/2
Let f(c) = -20*c - 518. Let q be f(-26). Factor 1 - 5/4*m + 1/4*m**q.
(m - 4)*(m - 1)/4
Let i(g) be the second derivative of -g**5/270 + g**4/54 + g**3/9 + 27*g**2/2 - 32*g. Let w(h) be the first derivative of i(h). Suppose w(f) = 0. Calculate f.
-1, 3
Let p(y) be the third derivative of -1/360*y**5 - 1/18*y**3 - 2*y**2 + 1/48*y**4 + 0 + 0*y. Factor p(m).
-(m - 2)*(m - 1)/6
Let l be (-115)/80 + 8/10. Let s = -7/16 - l. Determine z, given that s*z**3 + 12/5*z + 6/5*z**2 + 8/5 = 0.
-2
Let n be 23/((-253)/33)*1*2/(-15). Find x, given that n*x**3 + 0 + 6/5*x**2 + 4/5*x = 0.
-2, -1, 0
Find l such that 2/7*l + 0 - 2/7*l**2 = 0.
0, 1
Let i(r) be the first derivative of 7*r**6/120 - r**5/10 - 3*r**4/8 + 8*r**3/3 + 6. Let v(d) be the third derivative of i(d). Factor v(w).
3*(w - 1)*(7*w + 3)
What is p in 5*p**5 + 1567*p + 461*p**3 - 2150*p**2 + 489*p**3 - 125*p**4 - 605 + 358*p = 0?
1, 11
Let n = 131 - 129. Let 9*g - 55*g**3 - 54*g**3 - 6*g**n + 110*g**3 = 0. Calculate g.
0, 3
Suppose 6*r - 10*r = -8. Suppose -3 = r*p - 7. Solve 2 + 2*j + 2*j**p + 1 - 4*j**2 + j**2 = 0.
-1, 3
Let b be 461/21 - (-4)/(-14). Let z = b - 21. Suppose -2/3*q**2 + z + 0*q = 0. What is q?
-1, 1
Suppose -8*c**2 - 2/5*c**5 + 14/5*c**3 + 4/5*c**4 + 0 + 24/5*c = 0. Calculate c.
-3, 0, 1, 2
Let i(m) = -2*m**3 + 2*m**2 + 2*m - 1. Let a(r) = -3*r**3 - 3*r**2 + 114*r + 45. Let t(q) = -a(q) - 9*i(q). Let t(v) = 0. Calculate v.
-2, -2/7, 3
Let y(g) = -g**3 - 2*g**2 - 2*g - 1. Let r(x) = 105*x**2 + 470*x + 5. Let k(w) = -r(w) - 5*y(w). Factor k(u).
5*u*(u - 23)*(u + 4)
Let z = 968 - 966. Let a(r) be the third derivative of -7*r**z + 0 + 13/12*r**4 + 0*r - 11/30*r**5 - 2/3*r**3. Solve a(f) = 0 for f.
2/11, 1
Let m(v) be the first derivative of -4*v**3/21 + 6*v**2 - 152*v/7 - 540. Find y such that m(y) = 0.
2, 19
Let w be -3*(-43)/(-172)*4/(-6). Let w*i**3 + 0 - 3/2*i**2 + 0*i = 0. What is i?
0, 3
Let z be (-4 - -6)*(-6)/(-34). Suppose 0 = 219*f - 180*f. Factor f + 2/17*t**2 - z*t.
2*t*(t - 3)/17
Let y(h) be the first derivative of 3*h**4 - 25*h**3 + 9*h**2 + 133. Suppose y(t) = 0. Calculate t.
0, 1/4, 6
Let b(v) be the second derivative of -v**4/9 + 4*v**3 + 42*v - 2. What is l in b(l) = 0?
0, 18
Let l(g) be the first derivative of 4*g**3/9 + 8*g**2/3 + 4*g + 71. What is x in l(x) = 0?
-3, -1
Factor -20 - 549029*h**2 + 880*h + 107984*h**2 - 755*h - 6065*h.
-5*(297*h + 2)**2
Factor 2/3*i**2 + 6*i + 40/3.
2*(i + 4)*(i + 5)/3
Find t such that 6/5 - 3*t + 3/5*t**3 + 9/5*t**2 - 3/5*t**4 = 0.
-2, 1
Let s be (-2)/(-546)*52*(3 - 0). Factor -s*z - 2/7*z**4 + 4/7*z**3 + 0*z**2 + 2/7.
-2*(z - 1)**3*(z + 1)/7
Let a be (1 - 40/(-32))*(-446)/6. Let f = a - -168. Factor -9/4*l**2 + f*l**3 + 9/4*l - 3/4.
3*(l - 1)**3/4
Determine i so that -8 - 10*i**2 + 82/5*i + 8/5*i**3 = 0.
1, 5/4, 4
Let k(m) be the second derivative of -m**7/2100 + m**5/100 - m**4/30 + m**3/3 + 26*m. Let j(g) be the second derivative of k(g). Factor j(o).
-2*(o - 1)**2*(o + 2)/5
What is m in -6/13*m - 2/13*m**3 - 2/13*m**4 + 10/13*m**2 + 0 = 0?
-3, 0, 1
Let a(r) = -3*r**3 + 21*r + 21. Let q be a(-1). Factor -2/19 + 16/19*c + 36/19*c**q - 42/19*c**2.
2*(2*c - 1)*(3*c - 1)**2/19
Suppose 27*t + 0 + 10 = 10. Suppose -4/5*n**3 + 2/5*n**4 + t*n + 0 + 2/5*n**2 = 0. What is n?
0, 1
Let w(y) be the second derivative of 1/45*y**3 - 1/90*y**4 + 32*y + 2/15*y**2 + 0. Find j such that w(j) = 0.
-1, 2
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