alculate s.
-1, -1/3, 0, 2/5
Suppose -5*u - 7 = -22. Let 3 - a**2 + 2*a**2 - u*a**2 - 1 = 0. Calculate a.
-1, 1
Let q(l) = -2*l**3 - 24*l**2 - 12*l. Let s(v) = v**3 + 8*v**2 + 4*v. Let j(b) = 4*q(b) + 14*s(b). Find m such that j(m) = 0.
-2, -2/3, 0
Let y be (-1 + (-21)/(-15))*5. Factor -n**y - n + 2*n**2 + 3*n + 1.
(n + 1)**2
Suppose 0 = -0*u + 4*u. Let b be (0 + u)/(-1 - 0). Factor 2 - 2*c**2 - 4*c + b*c**2 - 2.
-2*c*(c + 2)
Let y(g) be the third derivative of g**8/10080 - g**5/20 - g**2. Let z(i) be the third derivative of y(i). Suppose z(b) = 0. What is b?
0
Suppose -2*q + 3*c = 0, -5*c = -7*q + 12*q - 25. Find f such that 2/5*f + 11/5*f**2 + 0 + 17/5*f**4 + 21/5*f**q + f**5 = 0.
-1, -2/5, 0
Let v(c) be the second derivative of -c**7/280 + c**6/60 - c**5/40 + 2*c**3/3 + 5*c. Let p(g) be the second derivative of v(g). Factor p(b).
-3*b*(b - 1)**2
Let b(j) be the second derivative of -j**6/45 + 3*j**5/10 - 4*j**4/3 + 16*j**3/9 + 12*j. Factor b(x).
-2*x*(x - 4)**2*(x - 1)/3
Let o = -47 + 796/17. Let l = 26/51 + o. Determine c, given that 0 + 1/3*c**2 - l*c = 0.
0, 1
Suppose 4*p - 27 + 15 = 0. Factor 0 + 2/3*f**p - 1/3*f**4 - 2/3*f + 1/3*f**2.
-f*(f - 2)*(f - 1)*(f + 1)/3
Let a(z) be the first derivative of -z**6/8 - 9*z**5/20 - 3*z**4/8 + z**3/2 + 9*z**2/8 + 3*z/4 + 42. Factor a(g).
-3*(g - 1)*(g + 1)**4/4
Let h(p) be the first derivative of -p**8/2520 - p**7/630 + p**6/180 + 7*p**3/3 - 7. Let r(i) be the third derivative of h(i). Factor r(a).
-2*a**2*(a - 1)*(a + 3)/3
Let v(p) be the third derivative of p**8/84 - 2*p**7/175 - 17*p**6/150 + 19*p**5/75 - 8*p**3/15 + 6*p**2. Suppose v(s) = 0. Calculate s.
-2, -2/5, 1
Let x = 508 - 18287/36. Let c(u) be the second derivative of x*u**4 + 1/6*u**2 + 0 - 4*u + 1/9*u**3. Let c(a) = 0. What is a?
-1
Suppose 7*w - 3*w - 88 = 0. Let p = -20 + w. Factor -x - 1/4*x**4 + 0 - 5/4*x**3 - 2*x**p.
-x*(x + 1)*(x + 2)**2/4
Let i(f) be the second derivative of -f**6/480 + f**4/32 - f**3/6 - 3*f. Let u(y) be the second derivative of i(y). Factor u(d).
-3*(d - 1)*(d + 1)/4
Let m(o) be the first derivative of 0*o**2 - 1/3*o + 1/9*o**3 + 3. Factor m(g).
(g - 1)*(g + 1)/3
Let y = 5 + -24/5. Factor -1/5*n**2 + 0*n - y*n**4 - 2/5*n**3 + 0.
-n**2*(n + 1)**2/5
Let b(z) = 4*z**2 - 119*z - 29. Let x be b(30). Let -8*r**4 - 12*r**3 + x + 23/2*r**2 + 15/2*r = 0. Calculate r.
-2, -1/4, 1
Let h(z) be the second derivative of -z**4/24 + z**3/4 + 5*z. Factor h(g).
-g*(g - 3)/2
Let n = 10 - 10. Determine w so that -2*w + 3*w**2 - 4*w**2 + 2*w**4 - w**2 + n*w**4 + 2*w**3 = 0.
-1, 0, 1
Suppose 5*k = -0*k + 4*f - 46, -2*k + 4*f - 28 = 0. Let t = -4 - k. Determine r so that 0 + 0*r**t + 2/5*r**3 - 2/5*r = 0.
-1, 0, 1
Let 2*x**3 + 2*x**2 - 2*x**5 + 4*x + 9*x**4 - 4*x - 11*x**4 = 0. Calculate x.
-1, 0, 1
Factor 64*z**2 + 13*z**3 + 11*z**3 + 44*z + 4*z**3 + 8.
4*(z + 1)**2*(7*z + 2)
Let y(j) be the first derivative of 2*j**3/27 + 4*j**2/9 + 8*j/9 - 7. What is o in y(o) = 0?
-2
Let v(k) be the third derivative of k**8/1680 - k**7/420 + k**5/60 - k**4/24 + k**3/3 + k**2. Let t(j) be the first derivative of v(j). Factor t(i).
(i - 1)**3*(i + 1)
Let g = -215 + 215. Factor 4/3*x**4 + g*x + 0 - 2/3*x**5 + 0*x**2 - 2/3*x**3.
-2*x**3*(x - 1)**2/3
Let n(q) be the third derivative of 121*q**5/270 - 11*q**4/27 + 4*q**3/27 - 9*q**2. Suppose n(s) = 0. Calculate s.
2/11
Let r(k) be the second derivative of k**4/6 + k**3/6 - k**2/2 + 12*k. Let n be r(1). Factor -2*b**3 + 10*b**4 - 32/5*b**n + 0 - 8/5*b.
2*b*(b - 1)*(5*b + 2)**2/5
Let y be 7/15 - 2/(-10). Let r be (5/(-15))/(2/(-4)). Let y*o**3 + 0 - 2/3*o**5 - r*o**2 + 0*o + 2/3*o**4 = 0. What is o?
-1, 0, 1
Let z(v) be the first derivative of 4*v**5/15 + v**4/3 + 5. Solve z(l) = 0 for l.
-1, 0
Let v(o) = -o - 2*o**2 + 4*o**3 - o**3 - 2*o**3 - 2*o + 3. Let l(j) = 2*j**3 - 3*j**2 - 5*j + 5. Let m(n) = -6*l(n) + 10*v(n). Factor m(a).
-2*a**2*(a + 1)
Let i = 4 - 0. Let r be 4/(-6)*(-2 - i). Factor 1/4*k - 1/4*k**3 - 1/4*k**r + 1/4*k**2 + 0.
-k*(k - 1)*(k + 1)**2/4
Let j = -11/35 - -3/5. Find l, given that -2/7*l + 0 - j*l**2 = 0.
-1, 0
Let f = -84 - -90. Let l(w) be the third derivative of -1/84*w**4 + 4/735*w**7 + 0 + 0*w**3 + 0*w - 1/70*w**f - 3*w**2 - 1/1176*w**8 + 2/105*w**5. Factor l(y).
-2*y*(y - 1)**4/7
Let l(o) be the third derivative of -o**7/5040 - o**6/720 - o**4/24 - 2*o**2. Let s(z) be the second derivative of l(z). Factor s(h).
-h*(h + 2)/2
Let y(z) = z**3 + 13*z**2 - z - 13. Let j be y(-13). Factor 2/5*w**3 + 0*w + j + 2/5*w**2.
2*w**2*(w + 1)/5
Let o(p) be the first derivative of p**5/5 + p**4/2 - p**2 - p + 9. Let o(x) = 0. What is x?
-1, 1
Let c(z) be the first derivative of 2/5*z + 3 + 0*z**3 + 2/5*z**2 - 2/25*z**5 - 1/5*z**4. Determine n so that c(n) = 0.
-1, 1
Let k be (284/(-32) - 5/40)/(-2). Factor -k + 3*m - 1/2*m**2.
-(m - 3)**2/2
Let c(n) = n**3 + 5*n**2 - 5*n + 8. Let m be c(-6). Let 2/5*z**m - 1/5*z**3 - 1/5*z + 0 = 0. Calculate z.
0, 1
Let k(f) = f**3 - f - 1. Let t(v) = -4*v**3 + 6*v + 2. Let y(m) = -5*k(m) - t(m). Let i be y(0). Factor -q**4 - 5*q**2 - 8*q**i - 8*q + 2 - 4 - q**4 - 7*q**2.
-2*(q + 1)**4
Suppose -5*d = -2*n + 12, 3*n = -2*d - 0 - 1. Let c = -1 + n. Factor 7/3*h**5 + c*h**2 + 0 - 2/3*h**3 + 5/3*h**4 + 0*h.
h**3*(h + 1)*(7*h - 2)/3
Let z(p) = -p**4 - p**2. Let g(h) = 4*h**4 + 2*h**3 + 5*h**2. Let u(a) = 3*g(a) + 15*z(a). Let u(c) = 0. What is c?
0, 2
Let y(q) be the third derivative of -q**6/60 - q**5/30 + q**4/12 + q**3/3 + 5*q**2. Factor y(a).
-2*(a - 1)*(a + 1)**2
Let z = 85/2 + -42. Solve x**3 - 1/2*x + z*x**4 - 1/2*x**5 + 1/2 - x**2 = 0.
-1, 1
Let a = 382/9 - 42. Let p(c) be the first derivative of -1 - 1/18*c**6 - 1/2*c**4 + a*c**3 + 4/15*c**5 - 1/6*c**2 + 0*c. Factor p(f).
-f*(f - 1)**4/3
Let h be ((-12)/56)/((-3)/(-16)). Let c = 59/21 + h. Find n such that 2/3*n**3 - c*n**4 + 0*n**2 + 0*n + 0 = 0.
0, 2/5
Factor -15*w - 75/2 - 3/2*w**2.
-3*(w + 5)**2/2
Let c(w) be the first derivative of -4 - 9/4*w**4 + 9/2*w**2 + 16*w**3 - 42/5*w**5 - 6*w. Let c(v) = 0. What is v?
-1, -1/2, 2/7, 1
Suppose 8 = -4*i - 4. Let k be (-2)/3*i/4. Suppose -1/4*s - 1/4*s**2 + k = 0. What is s?
-2, 1
Factor -3/2*d**2 + 3/2*d + 0.
-3*d*(d - 1)/2
Let n(s) = -3*s**5 - 22*s**4 - 43*s**3 - 32*s**2 - 8*s + 4. Let c(a) = 3*a**5 + 21*a**4 + 42*a**3 + 33*a**2 + 9*a - 3. Let u(r) = -4*c(r) - 3*n(r). Factor u(h).
-3*h*(h + 1)**2*(h + 2)**2
Let r(t) = t**2 - 10*t + 13. Let o be r(9). Let k(i) be the first derivative of 3 - 1/2*i**o + 6/5*i**5 + 4*i + i**2 - 10/3*i**3. Factor k(d).
2*(d - 1)**2*(d + 1)*(3*d + 2)
Factor 16/5*h - 4/5*h**3 - 48/5 + 12/5*h**2.
-4*(h - 3)*(h - 2)*(h + 2)/5
Let g(h) be the third derivative of h**7/70 - h**6/20 - h**5/20 + h**4/4 - 25*h**2. Factor g(v).
3*v*(v - 2)*(v - 1)*(v + 1)
Let o = 146 + -410/3. Let o*k**2 - 2/3 + 1/3*k = 0. Calculate k.
-2/7, 1/4
Find u such that 2/13*u**2 + 0 + 0*u - 2/13*u**4 + 0*u**3 = 0.
-1, 0, 1
Factor -161*v - 14*v - 36*v**2 - v**3 + 36*v - 185*v.
-v*(v + 18)**2
Let u(t) = t**3 - t. Let b(n) = -14 + 7 - 3*n + n**3 - 2*n**2 + 7. Let p be (-2 - -1)*(0 - 1). Let y(c) = p*b(c) - 2*u(c). Factor y(x).
-x*(x + 1)**2
Let x be 3/(-4*9/(-24)). Let s(j) be the third derivative of 0*j**4 + j**x - 1/60*j**6 + 0*j - 1/140*j**7 - 1/120*j**5 + 0 + 0*j**3. Factor s(t).
-t**2*(t + 1)*(3*t + 1)/2
Let d(z) be the first derivative of 80*z**5/3 + 35*z**4 + 16*z**3 + 8*z**2/3 + 12. Find m such that d(m) = 0.
-2/5, -1/4, 0
Let j(m) = 8*m**3 - 11 + 9 - 7*m**2 + 3*m**2 - 2*m**3. Let w(y) = y**4 + 13*y**3 - 9*y**2 - 5. Let l(t) = 5*j(t) - 2*w(t). Factor l(i).
-2*i**2*(i - 1)**2
Let j be ((-7)/7)/(2/(-4)). Factor 0 + 0*g + 0*g**j + 2/5*g**3.
2*g**3/5
Solve -2*n**2 + 4*n**2 + 0 - 8 = 0.
-2, 2
Let d = 10445/12 - 872. Let z = -5/4 - d. Determine n so that 2/3 + 1/3*n - z*n**2 = 0.
-1, 2
Suppose -3 = -2*y + 4*f + 1, 6 = 3*y - 4*f. Let d(o) be the first derivative of -3 + 2/3*o**3 - o**y + 0*o. Let d(k) = 0. What is k?
0, 1
Determine h so that 4*h**4 + 4*h**4 - 2*h**4 - 3*h**3 - 6*h**2 - 3*h**4 = 0.
-1, 0, 2
Determine m so that 2/3*m**3 - 2/3*m**2 + 2/3 - 2/3*m = 0.
-1, 1
Let i be (9/(-6))/((-2)/4). Determine j, given that 6*j**4 - i*j**4 - 2*j**3 + 6*j - 4*j**3 - 4 + 1 = 0.
-1, 1
Let c be (-21 + 1)*1/2. Let i be 4/c + 392/630. Factor i*u**4 + 0*u - 4/9*u**3 + 0*