(8/((-32)/12))/(-6). Let -3*i - v*i**2 - 9/2 = 0. Calculate i.
-3
Let s(z) be the first derivative of -z**9/12096 - z**8/1680 - z**7/840 + z**3 - 5. Let k(q) be the third derivative of s(q). What is u in k(u) = 0?
-2, 0
Let d = 5147/17990 + -1/2570. Let a = 92/469 - -6/67. Factor -a*b**2 + d + 2/7*b**3 - 2/7*b.
2*(b - 1)**2*(b + 1)/7
Let x(z) = -z**4 - 3*z**3 - 2*z**2 - 3*z. Let r(f) = -f**2 + 3*f + 7. Let j be r(5). Let q(m) = -m. Let w(k) = j*q(k) + x(k). Suppose w(g) = 0. Calculate g.
-2, -1, 0
Let w(u) be the second derivative of -1/6*u**4 + 1/14*u**5 + 2/21*u**3 - 5*u + 0 + 0*u**2. What is r in w(r) = 0?
0, 2/5, 1
Let z(o) be the second derivative of o**8/6720 + o**7/840 + o**6/240 + o**5/120 + o**4/6 - 2*o. Let b(h) be the third derivative of z(h). Solve b(s) = 0.
-1
Let q be ((-4)/3)/((-4)/6). Suppose 4 = 2*d - 0*d, d + 4 = 2*h. Suppose -h*r - 4*r**3 + 2*r**q + 2*r**3 + 3*r = 0. Calculate r.
0, 1
Suppose 9 - 5 = -4*f. Let p be f + -2*10/(-16). Factor 0 + p*y**2 + 0*y.
y**2/4
Factor 3*a**4 - 2*a**2 - 2*a**3 - a**5 + 5*a**3 - 2*a**5 - a**2.
-3*a**2*(a - 1)**2*(a + 1)
Let m(y) be the first derivative of -y**5/300 - y**4/120 + y**3/15 - y**2 - 1. Let w(f) be the second derivative of m(f). Let w(k) = 0. Calculate k.
-2, 1
Let z be 1*(0 + 6 + -2). Let 4 - 18*f**2 - 8*f**3 + 4*f**3 + 4*f**z + 2*f**4 + 4 = 0. What is f?
-1, 2/3, 2
Let j(c) be the second derivative of c**6/70 - 3*c**5/140 - c**4/28 + c**3/14 + 13*c. Find s, given that j(s) = 0.
-1, 0, 1
Suppose -15 = -q - 1. Let x be (-58)/(-4) - (-1 + -4) - -5. Find u, given that -x*u**2 - 2 + q*u = 0.
2/7
Let t(w) = -w**3 + 7*w**2 - 4*w - 8. Let u(l) = -l + 3. Let z be u(-3). Let o be t(z). Solve -4/11*b**2 + 4/11*b**o + 2/11*b - 2/11*b**5 + 0 + 0*b**3 = 0.
-1, 0, 1
Factor 2/3*s**2 + 16/3 + 6*s.
2*(s + 1)*(s + 8)/3
Let t be 2/2*(-34)/(-17). Find b, given that -2/3 + 2/3*b**3 - 2/3*b + 2/3*b**t = 0.
-1, 1
Let m be (-8 + -1)*1/(-3). Determine d, given that 0 + 3/2*d**4 + 0*d**m - 9/2*d**2 + 3*d = 0.
-2, 0, 1
Let p = -41 + 45. Suppose -4*t + p = -4*i, 1 - 4 = -t. Solve 3/5*k**i - 3/5 - 3/5*k + 3/5*k**3 = 0 for k.
-1, 1
Determine x so that 0 - 2/5*x**4 - 24/5*x**2 + 16/5*x + 12/5*x**3 = 0.
0, 2
Let s(w) = 6*w**2 + 1. Let f be s(-1). Let g be (-23)/(-15) + f/(-21). Let g*o**2 + 6/5*o + 2/5*o**3 + 2/5 = 0. What is o?
-1
Let f = 161 + -1447/9. Let g(j) be the first derivative of -1/3*j**2 - 1/18*j**4 + 2/9*j**3 + 2 + f*j. Let g(a) = 0. Calculate a.
1
Let k(o) be the first derivative of 0*o**3 + 1 + 1/10*o**5 - 1/4*o**4 + 1/2*o**2 - 1/2*o. Find f, given that k(f) = 0.
-1, 1
Let y be (-10)/12 + 4 + 2/(-12). Let t(k) be the second derivative of 3*k + 1/48*k**4 + 1/2*k**2 - 1/6*k**y + 0. Find b, given that t(b) = 0.
2
Let g(y) = -3*y - 9. Let c be g(-5). Suppose 10*z - 8*z = c. Factor -u**2 + 1/2*u + 0 + 1/2*u**z.
u*(u - 1)**2/2
Suppose 10*t - 8 = 12. Find k, given that 2/7*k + 6/7*k**3 + 0 - 6/7*k**t - 2/7*k**4 = 0.
0, 1
Let t(b) = -b**2 - 5*b + 16. Let w be t(-7). Factor i**3 - i**5 + 0*i**4 - 3*i**4 + 0*i**w + 4*i**4 - i**2.
-i**2*(i - 1)**2*(i + 1)
Let j = 7/4 - 69/44. Let u(g) be the second derivative of -j*g**2 + 0 + 1/33*g**3 + 1/66*g**4 - g. Determine q so that u(q) = 0.
-2, 1
Let p = 14 + -8. Factor -5*w**2 - 6*w + 2*w**2 + p*w**2.
3*w*(w - 2)
Let i(h) = 8*h**4 - h**3 - 26*h**2 - 17*h. Let w(f) = -3*f**4 + 9*f**2 + 6*f. Let q(p) = 6*i(p) + 17*w(p). Factor q(k).
-3*k**2*(k + 1)**2
Let b = 19/11 + -35/33. Factor 121/6*h**2 - 22/3*h + b.
(11*h - 2)**2/6
Let o(j) be the third derivative of j**6/360 + j**5/60 + j**4/24 + 2*j**3/3 + 4*j**2. Let s(f) be the first derivative of o(f). Suppose s(r) = 0. What is r?
-1
Let z(o) be the first derivative of -o**3/3 - 3*o**2 - 9*o + 1. Suppose z(y) = 0. What is y?
-3
Let x(y) be the first derivative of y**3/3 + y**2/3 - 2. Factor x(t).
t*(3*t + 2)/3
Let x(z) = 3*z**4 - z**3 - 11*z**2 + 3*z + 5. Let n(w) = -2*w**4 + 6*w**2 - 2*w - 3. Let s(m) = 5*n(m) + 3*x(m). Determine g, given that s(g) = 0.
-1, 0
Suppose 3*u = 7*u + 2*s - 18, -2*u + 18 = 4*s. Let w(d) be the first derivative of -1/3*d + 2 - 1/9*d**u - 1/3*d**2. Let w(k) = 0. What is k?
-1
Let l(m) be the second derivative of -m**5/90 + m**4/27 + 4*m**3/27 - 8*m**2/9 + 10*m. Factor l(s).
-2*(s - 2)**2*(s + 2)/9
Suppose 0*d - 2 = -d. Factor -12*q + 9*q**2 + 4 - 2*q**d + 3*q**2 - 2*q**2.
4*(q - 1)*(2*q - 1)
Let l(u) be the third derivative of -u**8/1680 + u**7/420 - u**6/360 - u**3/3 + u**2. Let f(o) be the first derivative of l(o). What is r in f(r) = 0?
0, 1
Factor -29*n**4 + 12 - 9*n**3 - n**2 + 9*n + 32*n**4 - 13*n**2 - n**2.
3*(n - 4)*(n - 1)*(n + 1)**2
Let n(g) be the second derivative of g**4/4 - 2*g**3 + 6*g**2 - 10*g. Factor n(f).
3*(f - 2)**2
Let d(t) = 11*t**2 + 3*t + 1. Let f be d(-1). Let n(s) be the first derivative of 1 - 12*s - 3*s**3 + f*s**2 + 3/8*s**4. Factor n(h).
3*(h - 2)**3/2
Let g = -7 + 10. Factor 3 - g - 2*h**3.
-2*h**3
Factor 3*w**3 + 12/5 + 9/5*w**2 - 36/5*w.
3*(w - 1)*(w + 2)*(5*w - 2)/5
Let v(q) = q + 1. Let t be v(3). Suppose -2*m = -t*h - 2, 0*h - h - 3 = -m. Factor -10*w - h + 2*w**2 + 10*w.
2*(w - 1)*(w + 1)
Let c(g) be the third derivative of g**5/15 + g**4/2 + 4*g**3/3 - 3*g**2. Determine l, given that c(l) = 0.
-2, -1
Let b(j) be the first derivative of -2*j**4/3 + 10*j**3/9 - j**2/3 + 6. Determine o, given that b(o) = 0.
0, 1/4, 1
Suppose -c + 6 = -0*c. Let d(q) be the second derivative of -1/21*q**7 + 0*q**2 - 2/15*q**c + 1/3*q**4 + q + 0*q**5 + 0 + 1/3*q**3. Suppose d(y) = 0. What is y?
-1, 0, 1
Let s = -156 + 157. Let y(b) be the first derivative of -s - 1/2*b**4 + 0*b - 2*b**2 - 2*b**3. Factor y(g).
-2*g*(g + 1)*(g + 2)
Suppose s - 3*g = 29, 2*g - 55 = -5*s - g. Suppose 0 = -2*a + s - 6. Factor a*m - 4*m - 2*m - 2*m**2.
-2*m*(m + 1)
Let i(n) be the third derivative of 1/420*n**6 - 1/84*n**4 + 0 + 0*n - 1/210*n**5 - 3*n**2 + 1/21*n**3. Let i(k) = 0. Calculate k.
-1, 1
Let j(l) = l + 2. Let m be j(-4). Let v(t) = -t**3 + t + 1. Let o(w) = -16*w**3 - 3*w**2 + 15*w + 11. Let s(b) = m*o(b) + 14*v(b). Factor s(h).
2*(h - 1)*(3*h + 2)**2
Suppose 0 = 4*n - 32 + 12. Factor 3*h**3 + 1/2*h + 2*h**2 + 1/2*h**n + 2*h**4 + 0.
h*(h + 1)**4/2
Suppose 0 = 3*v - 5*p + 3*p - 7, -4*v + 2*p + 10 = 0. Let -w + 0 + 7/2*w**2 - 5/2*w**v = 0. Calculate w.
0, 2/5, 1
Suppose 0 - 3/5*t**4 - 6/5*t + 3/5*t**2 + 6/5*t**3 = 0. Calculate t.
-1, 0, 1, 2
Let z(m) = 2*m**3 - 4*m**2 + 3*m - 1. Let h be z(2). Factor -q**5 + 5*q**5 - q**2 + q**4 - 5*q**h + q**3.
-q**2*(q - 1)**2*(q + 1)
Let p(h) be the second derivative of h**6/30 - 2*h**5/15 + 3*h**2 + 4*h. Let m(i) be the first derivative of p(i). Find g such that m(g) = 0.
0, 2
Let q = 5 + -3. Factor 56/9*m - 46/3*m**q - 8/9 + 140/9*m**3 - 50/9*m**4.
-2*(m - 1)**2*(5*m - 2)**2/9
Solve -4*w + w**3 + w**3 - w**2 + 0*w**3 + 3*w**2 = 0.
-2, 0, 1
Let t(m) = 5*m**3 - 8*m**2 + 2*m + 2. Let u(j) = -81*j**3 + 129*j**2 - 33*j - 33. Let v(a) = 33*t(a) + 2*u(a). Solve v(k) = 0.
0, 2
Suppose -37*p = -31*p. Factor -8/3*q + p + 4*q**2 - 4/3*q**3.
-4*q*(q - 2)*(q - 1)/3
Let m be (-4)/(-2)*(-2)/1. Let b be 3 + -2 - m/2. Determine d so that -1/4*d**2 + 1/2*d**b - 1/2*d + 0 + 1/4*d**4 = 0.
-2, -1, 0, 1
Suppose -s - 24 = s. Let h = -47/4 - s. Factor -3/4*a - h*a**2 - 1/2.
-(a + 1)*(a + 2)/4
Let r(a) = 8*a**2 - 28*a + 28. Let v(n) = n**2 + 1. Let i(u) = -r(u) + 4*v(u). Factor i(o).
-4*(o - 6)*(o - 1)
Let c(p) be the third derivative of -p**7/1680 - p**6/240 - p**5/120 - p**3/3 + 2*p**2. Let w(u) be the first derivative of c(u). Factor w(o).
-o*(o + 1)*(o + 2)/2
Let k = 4 - 0. Let q = -1 + 2. Factor -q + 2*o**2 - 5*o + 5*o - o**k.
-(o - 1)**2*(o + 1)**2
Let b(p) = -4*p**2 + 2*p - 2. Let i be b(2). Let d be ((-7)/i)/(6/4). Factor 0 + 1/3*h + d*h**2.
h*(h + 1)/3
Let j = -14/3 + 160/33. Factor 2/11*k**4 - 2/11*k - j*k**2 + 2/11*k**3 + 0.
2*k*(k - 1)*(k + 1)**2/11
Let j(h) = -5*h**3 + 3*h**2 - 3*h. Let i(v) = 4*v**3 - 4*v**2 + 2*v. Let n(g) = -3*i(g) - 2*j(g). Determine r, given that n(r) = 0.
0, 3
Let v(y) be the first derivative of 3*y**5/20 + 9*y**4/8 + 3*y**3 + 3*y**2 - 19. Factor v(x).
3*x*(x + 2)**3/4
Let 8/9*y + 2/9*y**2 + 2/3 = 0. What is y?
-3, -1
Let u = -152/9 + 1082/63. Factor -u*x**3 - 2/7*x + 0 + 4/7*x**2.
-2*x*(x - 1)**2/7
Let m(w) = w**5 + w**4 - w**3 - w + 1. 