o - 1/4*n**2 = 0. What is n?
0, 1
Let j(t) = 7*t**2 - 3*t**2 - 8 - 7*t + 6*t**2 - 9*t**2. Let f be j(8). Find x such that 0*x**2 - 2/11*x**4 + 0 + f*x + 2/11*x**3 = 0.
0, 1
Let -1/4*k**2 + 1/2*k - 1/4 = 0. Calculate k.
1
Let d(g) be the second derivative of -g**6/255 + g**5/85 - g**4/102 + 7*g. Factor d(j).
-2*j**2*(j - 1)**2/17
Suppose 0 = t + t - 40. Let q = t + -14. Let k(y) = -5*y**2 - 8*y + 1. Let c(j) = 6*j**2 + 9*j - 1. Let i(n) = q*c(n) + 7*k(n). Factor i(a).
(a - 1)**2
Let u = -59 - -59. Let v(y) be the first derivative of 1/7*y**2 + 2 - 2/21*y**3 + u*y. Determine w, given that v(w) = 0.
0, 1
Let k(f) = f**2 - 3*f - 3. Let c be k(4). Let b = c - -4. Factor 7*q**3 + 2*q**2 - 3*q**3 - q - b*q**3.
-q*(q - 1)**2
Suppose 4*h = 0, 8*h = 4*j + 4*h. What is y in j + 4/9*y**2 + 2/9*y + 2/9*y**3 = 0?
-1, 0
Factor 0*a + 0*a**2 - 2/7*a**5 + 0 - 6/7*a**4 - 4/7*a**3.
-2*a**3*(a + 1)*(a + 2)/7
Let p(j) be the first derivative of 1/10*j**4 + 12/5*j**2 - 16/5*j - 4/5*j**3 + 6. Factor p(f).
2*(f - 2)**3/5
What is d in -1/2*d**4 + d - 5/2*d**2 + 0 + 2*d**3 = 0?
0, 1, 2
Let t be 4/96*(-18)/(-4). Let k = 1/16 + t. Factor -k*m**2 - 1/2*m - 1/4.
-(m + 1)**2/4
Let w(c) be the third derivative of -c**8/84 + c**6/30 + 5*c**2. Factor w(j).
-4*j**3*(j - 1)*(j + 1)
Let k(x) = 2*x**4 - 8*x**3 + 2*x**2 - 4. Let u(q) = -q**5 + 4*q**4 - 17*q**3 + 5*q**2 - 9. Let r(b) = -9*k(b) + 4*u(b). Solve r(f) = 0.
-1, -1/2, 0, 1
Let c(w) be the third derivative of 5*w**2 + 1/60*w**6 + 1/30*w**5 + 0*w**3 + 0 - 1/168*w**8 + 0*w - 1/105*w**7 + 0*w**4. Factor c(t).
-2*t**2*(t - 1)*(t + 1)**2
Let j be (-1)/(-16)*8/16. Let i(o) be the third derivative of -1/80*o**5 - 1/24*o**3 - o**2 + j*o**4 + 1/480*o**6 + 0 + 0*o. Factor i(z).
(z - 1)**3/4
Let b = 1 + 4. Let -b + v**2 + v**2 + 2*v + 0*v + 1 = 0. Calculate v.
-2, 1
Let c(u) = -21*u**4 + 41*u**3 - 9*u**2 - 6*u + 5. Let t(f) = 42*f**4 - 81*f**3 + 18*f**2 + 12*f - 9. Let i(w) = 9*c(w) + 5*t(w). What is l in i(l) = 0?
-2/7, 0, 1
Let s be (-19 - -11)*2/(-4). Find x such that -s*x + 0*x**3 + 6*x - x**2 + x**4 - x - x**3 = 0.
-1, 0, 1
Find j, given that -5*j**5 + 0*j**5 - 4*j**3 - 15*j**4 - 5*j**2 - 11*j**3 = 0.
-1, 0
Let z = -127/6 - -77/3. Find k such that -z*k**5 - 19/4*k**2 - k + 15/4*k**4 + 11/2*k**3 + 1 = 0.
-1, -1/2, 2/3, 1
Solve 3*a**2 + 14*a - 2*a**2 + 11*a**2 + 3*a**3 - 5*a = 0.
-3, -1, 0
Let r be (-136)/(-3) - 6/(-9). What is j in 14*j - 11 + 9 + 4*j**3 - 28*j**2 - 34 + r*j = 0?
1, 3
Let 7*v + 1/3*v**2 - 5/3*v**3 + 1/3*v**4 - 6 = 0. Calculate v.
-2, 1, 3
Let p(v) be the first derivative of -v**2 - 4*v + 2 + 2/3*v**3. Factor p(b).
2*(b - 2)*(b + 1)
Let i = 6 - 3. Suppose 0 = -x + i*x - 8. Let x*h**5 - 16*h**4 + 11*h**3 - 2*h**5 + 5*h**5 - 2*h**2 = 0. Calculate h.
0, 2/7, 1
Let i(k) be the second derivative of k**7/28 - k**6/10 + 3*k**5/40 - 23*k. Find u, given that i(u) = 0.
0, 1
Let r = 118 + -118. Factor r*d - 1/2*d**4 + 0 + 1/2*d**3 - 1/2*d**5 + 1/2*d**2.
-d**2*(d - 1)*(d + 1)**2/2
Let r = -95 + 95. Factor -2/7*l**2 + 2/7*l + r.
-2*l*(l - 1)/7
Suppose 3*j - 4 - 14 = 0. Let i be ((-1)/4)/(j/(-32)). Factor -2/3*w**2 - 2/3 + i*w.
-2*(w - 1)**2/3
Let d = 154 - 102. Let x be 72/d*3 - 4. Factor -2/13*h + x*h**3 + 2/13*h**2 - 2/13.
2*(h - 1)*(h + 1)**2/13
Factor 4/7 - 8/7*r**3 + 12/7*r - 4/7*r**5 + 8/7*r**2 - 12/7*r**4.
-4*(r - 1)*(r + 1)**4/7
Let x be 6/2 + (7 - -23). Solve 33*u + u**2 - x*u + u**3 = 0.
-1, 0
Let b be 13 + -2 - (4 + -2). Let x = b + -7. Factor -2*u**4 - 4*u + 4*u**3 - 3*u**4 + 1 + 2*u**2 + 0 + x*u**4.
-(u - 1)**2*(u + 1)*(3*u - 1)
Let f = -7230/11 - -658. Suppose 722/11*v**2 - 152/11*v + f = 0. What is v?
2/19
Let k(w) be the second derivative of 0 + 0*w**2 + 2/15*w**6 + 9*w - 3/2*w**5 + 5/21*w**7 - 4/3*w**3 - 8/3*w**4. Solve k(j) = 0.
-1, -2/5, 0, 2
Let r(b) = 6*b**2 + 41*b + 7. Let y(f) = 3*f + 10. Let h be y(-9). Let t(v) = 2*v**2 + 14*v + 2. Let m(j) = h*t(j) + 6*r(j). Factor m(q).
2*(q + 2)**2
Solve -2/3*r**5 + 0 - 7/3*r**4 - 5/3*r**2 - 1/3*r - 3*r**3 = 0 for r.
-1, -1/2, 0
Let y(i) be the second derivative of i**6/30 - i**5/10 - i**4/4 - 7*i. Factor y(n).
n**2*(n - 3)*(n + 1)
Let x(i) be the first derivative of i**6/27 - i**4/9 + i**2/9 + 5. Find o such that x(o) = 0.
-1, 0, 1
Suppose 0 = -4*j + 6 - 6. Let k(n) be the third derivative of 0*n**3 + 0 + 1/630*n**7 + 0*n**4 + j*n**6 - 1/180*n**5 - n**2 + 0*n. Factor k(a).
a**2*(a - 1)*(a + 1)/3
Let o = -6 + 10. Let n(h) be the first derivative of 0 - 1 + 2*h - o*h - 6*h**3 + 6*h**2. Factor n(m).
-2*(3*m - 1)**2
Factor 0*c + 0*c**2 + 1/3*c**3 + 0 - 1/3*c**4.
-c**3*(c - 1)/3
Let d = 380 + -380. Determine p so that -2*p**3 + d + 3/2*p**2 - 1/3*p + 5/6*p**4 = 0.
0, 2/5, 1
Factor a + 11/2*a**2 + 0 + 7/2*a**4 + 8*a**3.
a*(a + 1)**2*(7*a + 2)/2
Suppose d + g = -3, 0*d + d = g + 7. Determine o, given that 49*o + 0*o**d + 3 - 45*o + o**2 = 0.
-3, -1
Let p(n) be the third derivative of n**9/1008 - n**3/2 - 5*n**2. Let g(r) be the first derivative of p(r). Factor g(k).
3*k**5
Factor -3*u**2 + 7*u - 9*u + u**2 + 0*u**2.
-2*u*(u + 1)
Let y(u) be the first derivative of u**5/35 - 3*u**4/28 + u**3/7 - u**2/14 - 1. Find k such that y(k) = 0.
0, 1
Suppose -5*m + 13 + 2 = 0. Let y(c) = 3*c**2 + 2*c + 1. Let d be y(-1). Factor -m*n**d + n**2 + 4*n + 0*n**2.
-2*n*(n - 2)
Let u(b) = 4*b**5 - 2*b**4 + 2*b**3 + 2*b**2. Let k(i) = 4*i**5 - 3*i**4 + i**3 + 3*i**2. Let f(x) = 6*k(x) - 5*u(x). Find t such that f(t) = 0.
-1, 0, 1, 2
Let i(h) be the third derivative of h**5/150 - h**4/60 - 2*h**3/15 + 4*h**2. Let i(c) = 0. What is c?
-1, 2
Let l(a) = -4*a**3 - 7*a**2 + a + 7. Let x(m) = -12*m**3 - 20*m**2 + 4*m + 20. Let h(b) = 8*l(b) - 3*x(b). Suppose h(p) = 0. What is p?
-1, 1
What is o in o**2 + o**5 + 3*o**3 + 19*o**4 - 4*o**4 - 9*o**4 - 3*o**4 = 0?
-1, 0
Let i be 4/10 + (-8)/(-5). Let -85*r - i*r**2 + 77*r + 6*r**2 + 4*r**3 = 0. What is r?
-2, 0, 1
Let d(h) = -4*h**2 + 53*h - 49. Let a(o) = 12*o**2 - 160*o + 148. Let q(c) = 5*a(c) + 16*d(c). Factor q(g).
-4*(g - 11)*(g - 1)
Let r(c) = c**3 + c**2 + c - 1. Let n(o) = 4*o**2 + 4*o - 4. Let b(h) = -n(h) + 4*r(h). Factor b(t).
4*t**3
Let t = 248 - 8182/33. Let z(u) be the second derivative of 3*u + 1/66*u**4 + 0*u**2 + 0 + t*u**3. Factor z(x).
2*x*(x + 2)/11
Suppose 0*t + 0*t = -21*t. Solve -2/7*m**2 + t - 2/7*m = 0.
-1, 0
Let k(i) be the second derivative of -1/105*i**6 - 1/21*i**3 + 0*i**2 + 3*i - 1/14*i**4 - 3/70*i**5 + 0. What is b in k(b) = 0?
-1, 0
Let x be 16 + -3 + -3 + 0. Suppose -c = c + j - x, 4*c - 16 = -j. Let 4*b**c - 3*b**5 - b**3 - 2*b**4 + 9*b**5 - 7*b**3 = 0. What is b?
-2/3, 0, 1
Let v(t) = 4*t**3 - 5*t**2 + 12*t - 11. Let y = 9 + -2. Let a(o) = 2*o**3 - 3*o**2 + 6*o - 5. Let u(w) = y*a(w) - 3*v(w). Factor u(n).
2*(n - 1)**3
Let c(w) be the first derivative of -8*w + 1/2*w**4 + 2*w**3 + 6 + 0*w**2. Factor c(r).
2*(r - 1)*(r + 2)**2
Let h = 13 + -4. Let l = h + -7. Determine g, given that g**4 + g**2 + 3*g**3 + 0*g**l - 5*g**3 = 0.
0, 1
Let y(l) be the third derivative of l**10/10080 + l**9/10080 - l**5/30 - 2*l**2. Let n(k) be the third derivative of y(k). Suppose n(u) = 0. What is u?
-2/5, 0
Factor -2*d**3 + 3*d**4 - 2*d**3 - 2*d**3 + 3*d**3.
3*d**3*(d - 1)
Let k be (2/3)/((-12)/234). Let m = 13 + k. Factor 5/3*z**3 + 2/3*z**2 + m - 7/3*z**4 + 0*z.
-z**2*(z - 1)*(7*z + 2)/3
Suppose -p + 0*p - 2*g + 4 = 0, -5*p - 5*g = -20. Suppose -p*j = -j. Factor -1/2*h + j - 1/2*h**2.
-h*(h + 1)/2
Let w(b) = b**2 + 3*b - 106. Let k be w(9). Solve -4/3*h - 2/3*h**k + 0 = 0.
-2, 0
Find l such that -18/5 - 84/5*l - 98/5*l**2 = 0.
-3/7
Let a(d) be the third derivative of -d**7/280 - d**6/30 - d**5/8 - d**4/4 + d**3/6 - d**2. Let v(n) be the first derivative of a(n). Factor v(r).
-3*(r + 1)**2*(r + 2)
Let b = -33343/57 - -585. Let h = 17/57 + b. What is s in 1/3*s**5 - 2/3*s**3 + 1/3*s**4 - 2/3*s**2 + h + 1/3*s = 0?
-1, 1
Factor 2/3*m**2 + 0 + 1/3*m**3 + 1/3*m.
m*(m + 1)**2/3
Let x(m) be the first derivative of 0*m**2 + 0*m - 1 - 1/9*m**3. Factor x(w).
-w**2/3
Let g(q) be the first derivative of -1/3*q - 1/4*q**2 + 6 + 0*q**3 + 1/24*q**4. Factor g(p).
(p - 2)*(p + 1)**2/6
Suppose -2*i = -i. Suppose -2*d + 0*d = i. Let 4/5*q**2 + 2/5*q + d + 2/5*q**3 = 0. Calculate q.
-1, 0
Factor 8/5*u**3 + 0*u + 0 - 4/5*u**2.
4*u**2*(2*u - 1)/5
Suppose