t is j in 20*j + g*j**2 + 4*j**3 - 20*j + 108*j + 108 = 0?
-3
Suppose 1 + 1 = -2*g. Let x be (-2 + g)*(-3 + 0). Find q, given that -4*q**5 + 2*q**5 + x*q**4 + 8*q**2 - q**4 - 2*q + 0*q - 12*q**3 = 0.
0, 1
Let r(s) be the second derivative of -1/18*s**4 + 2/9*s**2 + 1/135*s**6 + 0 - 1/90*s**5 + 5*s + 1/27*s**3. Determine i so that r(i) = 0.
-1, 1, 2
Let l be 20/(-40)*(0 - 1). Factor -2*n**3 - 1/2 - l*n**4 - 3*n**2 - 2*n.
-(n + 1)**4/2
Factor -1/2*h**3 - 5/2*h - 2*h**2 - 1.
-(h + 1)**2*(h + 2)/2
Suppose 10*p**2 - 9*p**2 + 8*p + 2*p**2 + 10*p = 0. What is p?
-6, 0
Let h(n) be the first derivative of -n**6/6 - n**5/5 + 5*n**4/4 + n**3/3 - 4*n**2 + 4*n - 2. Factor h(q).
-(q - 1)**3*(q + 2)**2
Let d = 2 - 7. Let r(n) = 7*n**2 + 9*n + 7. Let v(h) = 8*h**2 + 10*h + 8. Let k(q) = d*v(q) + 6*r(q). Find z such that k(z) = 0.
-1
Let x be 0 - (3 + -6 + 2). Let b be (-2)/(-10) + 0/x. Find l, given that 1/5*l**2 - 2/5 + b*l = 0.
-2, 1
Let u(n) be the second derivative of n**4/36 + 2*n**3/9 - 5*n. Factor u(i).
i*(i + 4)/3
Let p(c) be the second derivative of -c**4/16 + c**3/24 + c**2/2 + 15*c - 2. Factor p(a).
-(a + 1)*(3*a - 4)/4
Let p = 6 + 1. Suppose 0 = a + k - 5, p*a + 3*k - 15 = 3*a. What is n in a*n - 1/5*n**2 + 0 = 0?
0
Solve 12*q**4 - 3*q**3 - 16*q - 20*q**2 + 4*q**3 - 4*q**5 + 8*q**2 + 19*q**3 = 0.
-1, 0, 1, 4
Suppose 2/5*k**2 - 2/5*k**4 + 2/5*k**3 + 0 - 2/5*k = 0. What is k?
-1, 0, 1
Let x(f) be the first derivative of -2*f**3/39 + f**2/13 + 6. Suppose x(w) = 0. Calculate w.
0, 1
Let x be (-1)/(2/3)*460/(-138). Suppose -20/9*l**4 + 0 - 2/9*l - 2/3*l**x - 4/3*l**2 - 8/3*l**3 = 0. Calculate l.
-1, -1/3, 0
Let y = 5/157 - -3910/471. Let g be (-10)/25*5/(-6). Solve -41/3*v**3 + y*v**5 + g*v**2 + 4/3 - 5/3*v**4 + 16/3*v = 0.
-1, -2/5, 1
Let i(b) be the first derivative of b**4 + 16*b**3/3 + 10*b**2 + 8*b - 6. Let i(c) = 0. Calculate c.
-2, -1
Let k(x) be the first derivative of 0*x**6 + 0*x - x**2 + 1/420*x**7 + 0*x**3 - 1/120*x**5 - 2 + 0*x**4. Let m(n) be the second derivative of k(n). Factor m(j).
j**2*(j - 1)*(j + 1)/2
Let v(c) be the third derivative of c**8/26880 + c**7/3360 - c**5/120 - c**4/6 - 3*c**2. Let a(r) be the second derivative of v(r). Factor a(k).
(k - 1)*(k + 2)**2/4
Let k be -1 + (-3 + 5 - 0). Let v be ((-21)/(-6) - k) + -2. Factor 0 + 1/2*f**3 - v*f + 0*f**2.
f*(f - 1)*(f + 1)/2
Let d(o) = 9*o**2 + 62*o + 35. Let n(g) = -10*g**2 - 62*g - 36. Let w(r) = -6*d(r) - 5*n(r). Factor w(i).
-2*(i + 15)*(2*i + 1)
Let i(s) be the second derivative of 0*s**4 + 2*s + 0*s**2 + 0 - 1/24*s**3 + 1/80*s**5. Factor i(g).
g*(g - 1)*(g + 1)/4
Let l(w) be the first derivative of w**6/27 - 2*w**5/15 - w**4/18 + 14*w**3/27 - 8*w/9 - 13. Solve l(s) = 0.
-1, 1, 2
Let a(v) be the second derivative of 0*v**2 - 1/105*v**6 + 0*v**3 + 8*v + 2/35*v**5 + 0 - 2/21*v**4. Solve a(i) = 0.
0, 2
Let j(b) = -b + 6. Let v be j(10). Let t be ((-11)/66)/(2/v). Factor -5/3*o**4 - 2/3*o**3 - t*o + 2*o**2 + o**5 - 1/3.
(o - 1)**3*(o + 1)*(3*o + 1)/3
Let p(o) be the first derivative of -o**4/78 - 2*o + 2. Let w(g) be the first derivative of p(g). Factor w(i).
-2*i**2/13
Let z be (-75)/(-66) - 8/44. Let i = -145/198 + z. What is w in 4/9*w + 2/9 + i*w**2 = 0?
-1
Factor 16/5*p + 2/5*p**2 + 32/5.
2*(p + 4)**2/5
Let w = -10 - -5. Let u(b) = -b**2 - 6*b + 1. Let d be u(w). Factor -8*l**2 + 2*l - d + 6.
-2*l*(4*l - 1)
Let v(q) be the second derivative of 0*q**4 + 0 + 1/10*q**5 - q + 0*q**2 + 1/30*q**6 + 0*q**3. Solve v(x) = 0 for x.
-2, 0
Let q be (4/(-54))/(0 + (-7)/21). Let -10/9*v**4 + 0 + 4/9*v**5 - q*v + 2/9*v**2 + 2/3*v**3 = 0. What is v?
-1/2, 0, 1
Let c(d) be the first derivative of d**7/70 - d**6/20 + d**4/4 - d**3/2 + d**2 - 1. Let m(f) be the second derivative of c(f). Factor m(h).
3*(h - 1)**3*(h + 1)
Let g(i) be the third derivative of 0*i**3 + 0*i**4 - 1/60*i**6 + 2/105*i**7 - 2*i**2 + 0*i + 0*i**5 - 1/168*i**8 + 0. Factor g(j).
-2*j**3*(j - 1)**2
Let -6/5 + 2/5*x + 6/5*x**2 - 2/5*x**3 = 0. What is x?
-1, 1, 3
Let d be (-55)/(-66)*(-6)/(-20). Factor -d*f**2 - 1/4 + 1/2*f.
-(f - 1)**2/4
Let l(c) = c**3 - c**2 + 1. Let u(a) = -9*a**3 - 16*a**2 - 20*a - 4. Let p(g) = -4*l(g) - u(g). Factor p(z).
5*z*(z + 2)**2
Let d(t) be the first derivative of t**4/4 + t**2/2 + t - 6. Let p(w) = 2*w**3 - 8*w**2 - 6*w. Let o(z) = -4*d(z) + p(z). Let o(q) = 0. What is q?
-2, -1
Suppose -2*s + m = -1 - 4, s - 4*m - 20 = 0. Suppose 3*k - 4 = -2*o, s = k + 2*k - 2*o + 4. Factor -1 + k*p**3 + 3*p**2 + p - 2*p**2 - p**3.
-(p - 1)**2*(p + 1)
Let w(b) = b - 14. Let z be w(14). Factor z + 0*s + 1/3*s**2.
s**2/3
Let s(t) be the first derivative of -2/3*t**3 - 2 + 0*t + 0*t**2 - 1/5*t**5 - 3/4*t**4. Factor s(m).
-m**2*(m + 1)*(m + 2)
Let h = 0 + 15. Let l = h + -12. Factor -6/7*s**2 + 6/7*s + 2/7*s**l - 2/7.
2*(s - 1)**3/7
Let d = -201 - -204. Let h(p) be the first derivative of -d + 2*p + 2/27*p**3 + 2/3*p**2. Factor h(s).
2*(s + 3)**2/9
Let t(q) be the first derivative of 0*q - 3 + 1/4*q**3 + 0*q**4 - 1/20*q**5 - 1/4*q**2. Factor t(b).
-b*(b - 1)**2*(b + 2)/4
Let u(d) = d**2 - 6*d. Let s be u(6). Let f be (-3)/(-6)*s - -3. Factor 2/5 + 0*g**2 + 4/5*g - 2/5*g**4 - 4/5*g**f.
-2*(g - 1)*(g + 1)**3/5
Let h(u) be the first derivative of -1/2*u**4 - 1/7*u**2 - 10/21*u**3 - 1 - 6/35*u**5 + 0*u. Suppose h(q) = 0. Calculate q.
-1, -1/3, 0
Let y be -5 - (3/(-12) - 5). Factor y*t + 1/4*t**2 + 0.
t*(t + 1)/4
Let p(n) = 2*n**3 + n**2 - 7*n. Let m(c) = -3*c**3 + 8*c + 1. Let a(z) = 3*m(z) + 4*p(z). Let t be a(2). Factor -1/2*v**t + 0 + 1/4*v**4 + 0*v + 1/4*v**2.
v**2*(v - 1)**2/4
Solve -8 - 16*w - 12*w**2 - 4*w**3 - 1/2*w**4 = 0 for w.
-2
Suppose 99 - 7 = 4*c. Find j such that -c*j**3 + 3*j**3 + 20*j - 12*j**2 + 8 + 4*j**2 = 0.
-1, -2/5, 1
Factor -15/8*j + 9/8 - 3/4*j**2.
-3*(j + 3)*(2*j - 1)/8
Factor -16/7*w - 32/7 - 2/7*w**2.
-2*(w + 4)**2/7
Factor 1/7*m + 1/7*m**2 + 0.
m*(m + 1)/7
Let s(n) be the second derivative of -1/2*n**2 + 5/6*n**3 + 0 + 7/20*n**5 - 4*n - 3/4*n**4 - 1/15*n**6. Determine w, given that s(w) = 0.
1/2, 1
Let t = -5/7259 + 968563/7259. Let f = t + -3421/28. Find w such that 7*w - 49/4*w**4 - 7*w**3 + f*w**2 + 1 = 0.
-1, -2/7, 1
Let w(u) be the third derivative of -u**6/840 - 3*u**5/140 - 9*u**4/56 + u**3/6 - 4*u**2. Let s(m) be the first derivative of w(m). Factor s(p).
-3*(p + 3)**2/7
Let v = 85/4 + -21. Factor -1/4*t**2 + 1/2*t - v.
-(t - 1)**2/4
Factor -8/5*a + 6/5 + 2/5*a**2.
2*(a - 3)*(a - 1)/5
Let l(g) be the third derivative of g**7/1155 + g**6/220 - g**5/330 - g**4/44 - 2*g**2. Let l(s) = 0. Calculate s.
-3, -1, 0, 1
Let r(y) be the first derivative of -y**3/12 - y**2 - 7*y/4 + 26. Suppose r(v) = 0. What is v?
-7, -1
Suppose -21 = -k - 6*k. Determine r so that 6/7*r**k + 2/7*r + 2/7*r**4 + 0 + 6/7*r**2 = 0.
-1, 0
Suppose -5*j - 13 = -33. Suppose x + 3*b = -x + 13, -b = -3. Let h**j + 2*h - 2*h**3 + h**2 - 3*h**x + h**4 = 0. Calculate h.
-1, 0, 1
Let x(y) be the third derivative of 5*y**8/112 + y**7/35 - y**6/4 - y**5/5 + 5*y**4/8 + y**3 + 8*y**2. Suppose x(a) = 0. What is a?
-1, -2/5, 1
Let x(g) be the third derivative of g**5/420 - g**4/56 - 40*g**2. Factor x(w).
w*(w - 3)/7
Let k = -1695 + 201707/119. Let n = 10/17 - k. Let -2/7*d**3 + 0 - 2/7*d - n*d**2 = 0. What is d?
-1, 0
Let a(h) be the second derivative of -h**6/165 - h**5/110 + h**4/22 + h**3/33 - 2*h**2/11 - 27*h. Find l such that a(l) = 0.
-2, -1, 1
Let w(y) = 20*y**4 + 75*y**3 - 15*y**2 - 80*y + 15. Let t(x) = -5*x**4 - 19*x**3 + 4*x**2 + 20*x - 4. Let d(u) = 15*t(u) + 4*w(u). Let d(a) = 0. Calculate a.
-2, 0, 1
Let l(g) = -g**5 + g**3 - g. Suppose -9 = u - 4. Let y(m) = -33*m**5 - 120*m**4 - 195*m**3 - 160*m**2 - 65*m - 8. Let h(b) = u*l(b) + y(b). Solve h(v) = 0.
-1, -2/7
Let g(t) be the third derivative of 3*t**6/280 + t**5/20 + 2*t**4/21 + 2*t**3/21 - 13*t**2. Determine p, given that g(p) = 0.
-1, -2/3
Solve 1/2*r**2 + 0 - r = 0.
0, 2
Suppose -33*j - 3 + 3 = 0. Find n such that -3*n + j - 3/2*n**2 = 0.
-2, 0
Let x(f) = 30*f**2 - 120*f + 69. Let d(k) be the third derivative of k**5/20 - k**4/2 + 7*k**3/6 + 3*k**2. Let p(o) = -21*d(o) + 2*x(o). Factor p(c).
-3*(c - 3)*(c - 1)
Factor -2/3*c**2 - 2/3*c + 0.
-2*c*(c + 1)/3
Suppose 5 = -3*t + 4*t. Let h(o) be the second derivative of 2/33*o**3 + o + 0 + 1/22*o**4 + 0*