- 1)**2*(x + 1)
Let r be (-3)/(-5) - (-51)/15. Let b(g) be the first derivative of g**r - 2*g**2 - 6/5*g**5 + 0*g + 2*g**3 + 1. Solve b(s) = 0 for s.
-1, 0, 2/3, 1
Factor 4/5*b**3 + 2/5*b + 0 - 1/5*b**4 - b**2.
-b*(b - 2)*(b - 1)**2/5
Let d(w) = -3*w**2 - 3*w. Let c(j) = 5*j**2 + 6*j. Let g(v) = 6*c(v) + 11*d(v). Factor g(x).
-3*x*(x - 1)
Solve -7/2*g**2 - 1/4*g**5 + 11/4*g + 3/2*g**3 - 3/4 + 1/4*g**4 = 0.
-3, 1
Let o be 2/(3*2/6). Factor 2*j**2 + 6*j + 3 + 4 - o - 1.
2*(j + 1)*(j + 2)
Factor -27*r + 18*r**2 + 20*r**3 + 8 + 4 - 23*r**3.
-3*(r - 4)*(r - 1)**2
Let o(c) = -5*c**4 - 2*c**3 + 3*c**2 + 2*c. Let v(y) = -26*y**4 - 10*y**3 + 15*y**2 + 10*y. Let m(h) = 33*o(h) - 6*v(h). Find t, given that m(t) = 0.
-1, -2/3, 0, 1
Let o be 12/7 - 8/(-28). Let -z**o - 2*z**2 + 6 + 14*z - 11*z = 0. Calculate z.
-1, 2
Let n be (-3)/15 + 21/5. Let y(w) be the third derivative of 0*w**n + 0 - 1/3*w**3 + 0*w + w**2 + 1/30*w**5. Let y(p) = 0. What is p?
-1, 1
Let q(s) = -2*s**5 - 2*s**4 + s**3 + 3*s**2. Let p(u) = -u**5 - u**4 - u**3 + u**2 + u + 1. Let l(g) = 3*p(g) - 3*q(g). Solve l(t) = 0 for t.
-1, 1
Let q(s) be the second derivative of -s**7/42 - s**6/30 + s**5/10 + s**4/6 - s**3/6 - s**2/2 - s. Factor q(w).
-(w - 1)**2*(w + 1)**3
Let k(c) = c**2 - 8*c - 16. Let g be k(10). Let 2/3*f - 2/3*f**3 - 2/3*f**2 + 2/3*f**g + 0 = 0. What is f?
-1, 0, 1
Let h(u) be the third derivative of -2*u**7/35 - 87*u**6/40 - 231*u**5/10 + 121*u**4/8 - 37*u**2. Suppose h(y) = 0. What is y?
-11, 0, 1/4
Let k(o) = -3*o + 3. Let c be k(-3). Let j be (6/2)/(c/16). Factor 2*a**5 + 2*a**4 - j*a**4 + 0*a**5.
2*a**4*(a - 1)
Let b(r) be the second derivative of -r**7/147 + r**6/15 - 19*r**5/70 + 25*r**4/42 - 16*r**3/21 + 4*r**2/7 + r. Factor b(g).
-2*(g - 2)**2*(g - 1)**3/7
Let c(b) be the second derivative of -10*b + 0*b**2 + 0 - 1/12*b**3 - 1/40*b**5 - 1/12*b**4. Find y such that c(y) = 0.
-1, 0
Let x(a) be the second derivative of a**7/273 + a**6/195 - 2*a**5/65 - 2*a**4/39 + 29*a. Determine b so that x(b) = 0.
-2, -1, 0, 2
Let v(q) be the second derivative of 5*q + 1/36*q**5 + 2/27*q**3 + 0*q**2 + 0 - 5/54*q**6 + 4/27*q**4. Factor v(u).
-u*(u - 1)*(5*u + 2)**2/9
Let y(a) be the second derivative of -a**4/42 - 4*a**3/3 - 28*a**2 - 43*a. Determine c so that y(c) = 0.
-14
Suppose 5*v - 55 + 0 = -3*w, -w = -v + 19. Let q be v/(-63) + (-38)/(-9). Factor 9*u + 10*u**3 - u**4 - u**4 - q + 5*u - 18*u**2.
-2*(u - 2)*(u - 1)**3
Let l = -31 - -22. Let b be (3/(l/8))/(-2). Factor -b*q + 2*q**2 + 1/3 + 1/3*q**4 - 4/3*q**3.
(q - 1)**4/3
Let a(d) be the first derivative of 3/5*d + 0*d**2 + 3/25*d**5 - 2/5*d**3 - 6 + 0*d**4. Factor a(q).
3*(q - 1)**2*(q + 1)**2/5
Factor 4/13*h**4 + 0 - 2/13*h**3 - 2/13*h**5 + 0*h + 0*h**2.
-2*h**3*(h - 1)**2/13
Factor 0 + 2/3*d**3 + 4/3*d + 2*d**2.
2*d*(d + 1)*(d + 2)/3
Let l be 6/8*(3 - -1). Find u, given that -u**3 - 4 - l*u**4 - u**5 - u**3 + 5 + u**2 + u**2 + 3*u = 0.
-1, 1
Let r(v) = -v - 1. Let w be r(-5). Determine i so that 2 - i**3 - i + 2*i**3 + 0 - w*i**4 + 7*i**4 - 5*i**2 = 0.
-1, 2/3, 1
Solve 2*k**3 + 5*k**4 - 86 + 44 + 42 = 0.
-2/5, 0
Let i be 0 + (0 - (3 + -3)). Let o(k) = k**3 + 2*k**2 + k + 3. Let a be o(i). Factor -1/3*x + 1/3*x**a + 0*x**2 + 0.
x*(x - 1)*(x + 1)/3
Let s = 363/20 - 71/4. Factor 0 + 2/5*w**2 + s*w.
2*w*(w + 1)/5
Factor 87 + 5*x - 45*x**2 - 87.
-5*x*(9*x - 1)
Let f be (-2)/8 + 38/(-8). Let j be (-2)/4 + f/(-2). Suppose -3*n**2 + 5*n**2 - n - 3*n**j = 0. What is n?
-1, 0
Let m(u) be the second derivative of u**10/151200 + u**9/75600 - u**8/33600 - u**7/12600 + u**4/12 - 2*u. Let f(n) be the third derivative of m(n). Factor f(w).
w**2*(w - 1)*(w + 1)**2/5
Suppose 3*k + 5*d = 19 - 8, 4*k = 2*d + 6. What is j in -1/4*j + 1/4*j**k - 1/2 = 0?
-1, 2
Let m = 2/1171 + 8185/7026. Let h(u) be the first derivative of -2/3*u + 2/9*u**3 - 7/12*u**4 + m*u**2 + 1. Factor h(f).
-(f - 1)*(f + 1)*(7*f - 2)/3
Let u be -3 + 1 - 2 - -6. Let f(q) be the first derivative of 1/16*q**4 - 1/8*q**u + 0*q - 3 + 1/12*q**3 - 1/20*q**5. Suppose f(t) = 0. What is t?
-1, 0, 1
Let q(s) be the first derivative of 1/2*s + 4/3*s**3 + 9/8*s**2 + 1/24*s**6 - 5 + 7/8*s**4 + 3/10*s**5. Solve q(d) = 0.
-2, -1
Let c = -20 - -23. Find v, given that v - 4*v**2 - 4*v - c*v + v**2 + 9*v**3 = 0.
-2/3, 0, 1
Let v(c) be the first derivative of 7*c**6/3 + 16*c**5 + 36*c**4 + 92*c**3/3 + c**2 - 12*c - 17. Suppose v(d) = 0. What is d?
-3, -1, 2/7
Factor 0 - 2/3*d**3 - 2/3*d - 4/3*d**2.
-2*d*(d + 1)**2/3
Solve -9*g**2 - 3*g - 1/4 = 0.
-1/6
Let y(i) be the third derivative of i**10/529200 + i**9/105840 + i**8/70560 - i**5/30 + 2*i**2. Let m(a) be the third derivative of y(a). Factor m(j).
2*j**2*(j + 1)**2/7
Let x(l) be the third derivative of -1/10*l**5 + 0*l - 1/112*l**8 - l**2 + 0 + 0*l**4 + 3/40*l**6 + 0*l**3 + 0*l**7. Factor x(r).
-3*r**2*(r - 1)**2*(r + 2)
Let c = -32 + 32. Let 0 + c*m**2 - 2/3*m + 2/3*m**3 = 0. Calculate m.
-1, 0, 1
Let j(y) be the second derivative of -y**9/52920 + y**8/7840 - y**6/630 + y**4/6 - 3*y. Let l(p) be the third derivative of j(p). Suppose l(v) = 0. What is v?
-1, 0, 2
Let j = -77 + 81. What is p in -2/9*p**3 + 2/9*p**5 - 2/9*p**2 + 0*p + 2/9*p**j + 0 = 0?
-1, 0, 1
Suppose 2*b = 2, 0 = k + 3*b + 2*b - 7. Let -t - 1 - t - t**k + 0*t = 0. Calculate t.
-1
Factor 0 - 24/5*s**2 + 16/5*s + 12/5*s**3 - 2/5*s**4.
-2*s*(s - 2)**3/5
Let a(j) = 4*j**2 + 5*j + 3. Let g(z) = -3*z**2 - 4*z - 2. Suppose 3*q - q + 8 = 0. Let h = 60 - 66. Let i(x) = h*g(x) + q*a(x). Solve i(o) = 0 for o.
-2, 0
Factor -6 - 3*a**4 + 4*a + 6*a**4 + 8*a**2 - 4*a**3 - 5*a**4.
-2*(a - 1)**2*(a + 1)*(a + 3)
Determine p, given that 9/2*p**2 + 1 - 5/2*p**3 + 1/2*p**4 - 7/2*p = 0.
1, 2
Let z(r) be the third derivative of r**10/45360 - r**9/11340 + r**8/10080 + r**4/24 - 2*r**2. Let u(j) be the second derivative of z(j). What is v in u(v) = 0?
0, 1
Let p(i) = 3*i**2 + 8*i + 19. Let q(t) = -2*t**2 - 4*t - 10. Let f(w) = 3*p(w) + 5*q(w). Let z be f(5). Factor 1 + x**z + x - 6*x**2 + 3*x**2.
-(x - 1)*(2*x + 1)
Let q = 33/62 + -1/31. Let o(l) be the second derivative of 0 + 1/30*l**6 + 1/12*l**4 + 2*l - l**2 + q*l**3 - 3/20*l**5. Let o(w) = 0. What is w?
-1, 1, 2
Let d(k) be the third derivative of -k**7/16380 + k**6/2340 - k**5/780 - 3*k**4/8 - 8*k**2. Let s(q) be the second derivative of d(q). Factor s(j).
-2*(j - 1)**2/13
Determine y, given that 3*y**3 + 0*y - y - 2*y + 9*y**2 - 9 = 0.
-3, -1, 1
Let i(k) be the second derivative of -k**4/27 - 16*k**3/27 + 2*k**2 + 14*k. Find x, given that i(x) = 0.
-9, 1
Let -8*s**2 - s**3 + s - 3*s**3 - 5*s + 0*s**2 = 0. Calculate s.
-1, 0
Suppose 3*p + p = 5*p. Find y, given that -2/5*y**4 + 4/5*y**2 + 0 + 2/5*y**3 + p*y = 0.
-1, 0, 2
Let x be 703/133 - (-2)/(-7). Let y(w) be the second derivative of -1/35*w**7 - 1/15*w**6 + 0 + 0*w**4 + 0*w**3 - 1/25*w**x + 0*w**2 + 2*w. Factor y(l).
-2*l**3*(l + 1)*(3*l + 2)/5
Let x(u) = u - 5. Let w = 7 - 2. Let s be x(w). Factor s*d**5 + 0*d**5 + 6*d**4 - 2*d**5 + 2*d**2 - 6*d**3.
-2*d**2*(d - 1)**3
Factor 0 - 12/5*y**3 - 6/5*y + 27/5*y**2.
-3*y*(y - 2)*(4*y - 1)/5
Let t(d) be the first derivative of 2 + 0*d**2 - 1/48*d**4 + 1/24*d**3 - 3*d. Let r(v) be the first derivative of t(v). Factor r(g).
-g*(g - 1)/4
Let x(w) be the first derivative of -2/3*w**3 + 0*w**2 - 1/6*w**4 - 1 + 2*w. Let g(v) be the first derivative of x(v). Factor g(o).
-2*o*(o + 2)
Let c(l) be the first derivative of -2 + 0*l**4 + 1/7*l**2 - 1/21*l**6 + 0*l - 4/35*l**5 + 4/21*l**3. Determine j, given that c(j) = 0.
-1, 0, 1
Factor 9 - 13 - 3 - 25*u - 3 - 15*u**2.
-5*(u + 1)*(3*u + 2)
Let y(n) be the third derivative of 0*n**4 + 1/315*n**7 + 1/180*n**6 + 0*n**5 + 0 + 0*n - 2*n**2 + 0*n**3. Factor y(m).
2*m**3*(m + 1)/3
Let t(f) be the first derivative of -3*f**4/4 + 3*f**2/2 + 12. Factor t(w).
-3*w*(w - 1)*(w + 1)
Suppose o - g = -o + 8, 4 = -2*g. Let d be 4/12 + 14/o. Factor 2/9*m**d - 2/9*m**3 + 0 - 2/9*m**4 + 0*m + 2/9*m**2.
2*m**2*(m - 1)**2*(m + 1)/9
Suppose 8*j - 6 = 5*j. Let m(y) = 2*y**3. Let z be m(1). Factor z*h**2 + h**4 + 0*h**2 - j*h**5 - 3*h**4 + 2*h**3.
-2*h**2*(h - 1)*(h + 1)**2
Let m be 0/(-4)*(-1)/2. Let h(b) be the third derivative of m - b**2 + 0*b + 0*b**3 - 1/180*b**6 + 1/90*b**5 + 0*b**4. Let h(z) = 0. What is z?
0, 1
Let h(o) =