 of -m**5/300 + m**4/20 - m**3/6 - 23*m**2. Let k(c) = 0. What is c?
1, 5
Let h = 222 + -220. Factor 2/3*v + 2/9*v**h + 4/9.
2*(v + 1)*(v + 2)/9
Let f(q) = q**3 + q - 1. Let h(y) = -5*y**3 + 8*y**2 - y + 1. Let d(k) = -f(k) - h(k). Factor d(l).
4*l**2*(l - 2)
Let x(b) be the second derivative of b**7/105 - b**5/15 + b**3/3 - b**2/2 + b. Let o(u) be the first derivative of x(u). Factor o(i).
2*(i - 1)**2*(i + 1)**2
Let w(u) be the third derivative of 3*u**2 + 0*u - 1/240*u**5 - 1/96*u**4 + 0*u**3 + 0. Solve w(z) = 0 for z.
-1, 0
Let u(g) be the second derivative of g**5/80 + 3*g**4/8 + 9*g**3/2 + 27*g**2 + 10*g. Factor u(c).
(c + 6)**3/4
Let d(t) be the third derivative of t**5/45 - t**4/3 + 2*t**3 - 12*t**2. Solve d(o) = 0.
3
Let s(n) be the first derivative of n**4/15 - 4*n**3/15 - 6*n + 3. Let j(a) be the first derivative of s(a). Determine l, given that j(l) = 0.
0, 2
Let y(f) = f + 1. Let u be y(1). What is i in -i**2 - 5 + 4 + 0 - u*i + 4*i = 0?
1
Let m(j) be the third derivative of j**8/2240 - j**7/1680 + j**5/60 - j**2. Let r(s) be the third derivative of m(s). Factor r(p).
3*p*(3*p - 1)
Factor 2/7*z**2 + 0 + 2/7*z**4 - 4/7*z**3 + 0*z.
2*z**2*(z - 1)**2/7
Let m(o) be the second derivative of -9*o**6/25 + 12*o**5/5 - 391*o**4/90 + 124*o**3/45 - 4*o**2/5 + 12*o. Find u such that m(u) = 0.
2/9, 1, 3
Let n(x) be the first derivative of 4 + 1/7*x**3 - 3/14*x**2 - 6/7*x. Find g, given that n(g) = 0.
-1, 2
Factor 2/3*w**2 - 2/3 + 0*w.
2*(w - 1)*(w + 1)/3
Let b(q) be the third derivative of 2/105*q**7 + 0*q + 1/6*q**4 + 2/3*q**3 - 1/15*q**6 - 8*q**2 - 2/15*q**5 + 1/84*q**8 + 0. Factor b(n).
4*(n - 1)**2*(n + 1)**3
Let q(r) be the first derivative of -r**5/60 + r**4/16 + r**3/36 - r**2/8 - 21. Solve q(p) = 0 for p.
-1, 0, 1, 3
Let w(k) be the second derivative of 1/5*k**6 + 5*k + 0*k**2 - 1/10*k**5 - 1/2*k**4 + 0 + 1/3*k**3. Factor w(m).
2*m*(m - 1)*(m + 1)*(3*m - 1)
Let z = 64 - 62. Let m(f) be the first derivative of f + 1/4*f**z + 1 - 1/8*f**4 - 1/3*f**3. Factor m(x).
-(x - 1)*(x + 1)*(x + 2)/2
Let k(w) be the second derivative of -w**7/252 - w**6/45 - w**5/30 + w**4/36 + 5*w**3/36 + w**2/6 - 5*w. Factor k(n).
-(n - 1)*(n + 1)**3*(n + 2)/6
Let k(j) = -j. Let r(t) = -6*t - 2. Let o(u) = 5*k(u) - r(u). Let w be o(0). Determine q, given that 0*q - 1/4*q**3 + 0 + 1/4*q**w = 0.
0, 1
Suppose 4*l = 4*i, -6 = l - 4*i - 0. Suppose -q + 2 = -l. Find k such that k**4 + k - k**3 - k**2 + 0*k**q + 0*k**3 = 0.
-1, 0, 1
Factor 1/2*t**2 + 1/2*t + 0.
t*(t + 1)/2
Factor 16*w**2 - 17*w - 2 - 85*w**2 + 9 - 5.
-(3*w + 1)*(23*w - 2)
Let h(x) = 3*x - 1. Let f be h(1). Suppose 2*d - f - d - d**2 - 4*d + 0*d = 0. Calculate d.
-2, -1
Let n = 19/12 + -4/3. Suppose -4*i + 6 = -6. Solve 0 - 1/2*t**2 + 1/4*t**i + n*t = 0 for t.
0, 1
Let o(q) be the first derivative of -q**4/6 + 2*q**3/9 + 2*q**2/3 + 44. Factor o(c).
-2*c*(c - 2)*(c + 1)/3
Let f = 8 - 23. Let w = f - -19. Suppose 2*j**2 + 5*j**3 - 5/2*j**5 - 1 - j**w - 5/2*j = 0. Calculate j.
-1, -2/5, 1
Factor 0 - 2/3*u**2 + 1/3*u**3 + 0*u.
u**2*(u - 2)/3
Let i(t) be the first derivative of -t**6/15 + t**5/10 + t**4/6 - t**3/3 - 2*t + 5. Let y(w) be the first derivative of i(w). Factor y(p).
-2*p*(p - 1)**2*(p + 1)
Let l = -27 - -29. Solve 3/7 + 0*q - 3/7*q**l = 0.
-1, 1
Let i be (-26)/(-24) - (-16)/64. Let 2/3 + 2/3*h**2 + i*h = 0. What is h?
-1
Suppose 5 = 3*h - 2*h. Let v be 82/369 + 34/90. What is n in 0 - 3/5*n**2 + 3/5*n**3 + v*n**h - 2/5*n + 7/5*n**4 = 0?
-1, 0, 2/3
Let q = 832 - 832. Determine h so that -7/4*h**2 - 1/2*h + q + 5/4*h**5 - 3/4*h**3 + 7/4*h**4 = 0.
-1, -2/5, 0, 1
Let f be (8/(-10))/(4/(-10)). What is o in -3*o**f - 9 + 13 + 4*o + 4*o**2 = 0?
-2
Let t = 8 + -5. Suppose -k = -2*n, -4*n + t = -k - 1. Find y, given that 24*y**4 - 13*y + 4*y**3 - 3 + n*y**2 - 24*y**2 + 9*y**5 + 1 = 0.
-2, -1, -1/3, 1
Let y be (-20)/(-6) + (-3)/9. Factor -3*z - 2*z**2 + y*z**2 + 4 - z.
(z - 2)**2
Let q(c) = -c + 3. Let o be q(0). Let -2/15*k**o + 0*k + 8/15*k**2 + 0 = 0. Calculate k.
0, 4
Let k be ((-332)/(-18))/((-28)/6). Let s = k + 30/7. Factor 0*v**4 + 1/3*v + 0 - 2/3*v**3 + 0*v**2 + s*v**5.
v*(v - 1)**2*(v + 1)**2/3
Suppose 0 = -6*s - 10 - 32. Let u be (s - -6) + (-157)/(-3). Factor 8/3*b**2 + 64/3*b**3 + 98/3*b**5 + 0 + u*b**4 + 0*b.
2*b**2*(b + 1)*(7*b + 2)**2/3
Let w be -2 - (6/3 - 6). Solve -2*s**2 - 3*s**2 + 7*s**2 + 8 + 10*s - w*s = 0.
-2
Let c = -267 - -267. Factor -2/5*p**2 + c*p + 0.
-2*p**2/5
Factor 0 - p + 1/4*p**2.
p*(p - 4)/4
Let d be 4/(-6) + 21329/11979. Let r = d + -1/363. Factor 2/9*j**3 + r*j + 8/9*j**2 + 4/9.
2*(j + 1)**2*(j + 2)/9
Solve -2/7*n**2 - 18/7 + 12/7*n = 0.
3
Let h(c) be the first derivative of -32*c**3/51 - 8*c**2/17 - 2*c/17 + 4. Factor h(v).
-2*(4*v + 1)**2/17
Let y be ((-14)/(-126))/((-2)/(-6)). Let -1/3*q**3 + 0 - y*q - 2/3*q**2 = 0. Calculate q.
-1, 0
Let x(f) be the third derivative of -f**6/40 - 3*f**5/20 - f**4/4 - 31*f**2. Factor x(c).
-3*c*(c + 1)*(c + 2)
Let l(x) be the second derivative of -x + 0 + 0*x**2 + 1/5*x**6 + 0*x**3 + 4/5*x**5 + 2/3*x**4. Factor l(g).
2*g**2*(g + 2)*(3*g + 2)
Factor -5/4*d + 0 + 5/4*d**2.
5*d*(d - 1)/4
Find y such that 8/7*y - 6/7*y**3 - 40/7*y**2 + 20*y**4 + 0 + 14*y**5 = 0.
-1, 0, 2/7
Let j(h) be the second derivative of -1/16*h**4 + 3/4*h**2 + 1/8*h**3 + 0 + 10*h. Let j(f) = 0. What is f?
-1, 2
Suppose 0 = -4*l + 4 + 44. Let p = l + -12. Factor 0*v + p - 1/4*v**2 - 3/4*v**3 - 3/4*v**4 - 1/4*v**5.
-v**2*(v + 1)**3/4
Let k(h) be the first derivative of -h**7/840 + h**6/480 + h**2/2 - 2. Let t(p) be the second derivative of k(p). Factor t(x).
-x**3*(x - 1)/4
Suppose 0 = 5*d - 3*d - 8. Let n = d - -1. Factor o**3 - 5*o**n + o**3 + 4*o**5 - o.
-o*(o - 1)**2*(o + 1)**2
Factor -1/5*f**4 + 0*f + 0*f**3 - 1/5 + 2/5*f**2.
-(f - 1)**2*(f + 1)**2/5
Let u be (-32)/10 + 3 + (-1)/(-5). Factor u*a + 0 + 3/5*a**3 - 1/5*a**2 + 4/5*a**4.
a**2*(a + 1)*(4*a - 1)/5
Let l(i) be the second derivative of -i**4/54 + i**3/9 - 2*i**2/9 + 5*i. Factor l(o).
-2*(o - 2)*(o - 1)/9
Let d(z) = -z. Let h be d(-12). Let p be (-2)/h*16/(-2). Find q such that p*q**2 - 2/3*q + 0 + 0*q**3 + 2/3*q**5 - 4/3*q**4 = 0.
-1, 0, 1
Let i be -2*((-1)/1 - 1). Let f(w) be the first derivative of 1/3*w**i - 2/15*w**5 - 1 + 0*w - 2/9*w**3 + 0*w**2. Let f(q) = 0. What is q?
0, 1
Let h = -344 + 691/2. Factor -h*u + u**3 + 1/2*u**5 + 1/2 - 3/2*u**4 + u**2.
(u - 1)**4*(u + 1)/2
Let g(u) be the second derivative of 1/75*u**6 + 0*u**3 - 1/30*u**4 + 0*u**5 + u + 0 + 0*u**2. Let g(d) = 0. Calculate d.
-1, 0, 1
Let d(b) be the second derivative of -b**6/45 + b**4/6 + 2*b**3/9 - 7*b. Suppose d(g) = 0. Calculate g.
-1, 0, 2
Let q be (3 + -2)/(2/6). Solve 3*h + q*h**4 - 3*h**3 + 5*h**2 + 0*h**2 - 8*h**2 = 0.
-1, 0, 1
Let t(l) be the second derivative of -l**4/30 - 2*l**3/15 + 3*l**2/5 - 5*l. Factor t(i).
-2*(i - 1)*(i + 3)/5
Let m(t) be the second derivative of 4*t**5/15 + t**4/3 + t**3/6 + t**2 + t. Let n(y) be the first derivative of m(y). Suppose n(d) = 0. What is d?
-1/4
Let a(j) be the first derivative of 3*j**4/10 + 14*j**3/15 - 8*j/5 + 9. Solve a(x) = 0.
-2, -1, 2/3
Let k = 1/35 - -67/105. What is y in 2/9*y**3 + 0*y**2 - 4/9 - k*y = 0?
-1, 2
Let p = 103 + -103. Factor -z**3 + 1/2*z**5 + 0 + p*z**4 + 1/2*z + 0*z**2.
z*(z - 1)**2*(z + 1)**2/2
Suppose -26 = -4*r - 2*m, -5*r + 2*m - m + 22 = 0. Factor 12*h**3 + 11*h**r - 9*h**5 + 2*h**5 - 16*h**4.
4*h**3*(h - 3)*(h - 1)
Let p(b) be the first derivative of -2*b**3/3 - 3*b**2 - 4*b + 20. Factor p(g).
-2*(g + 1)*(g + 2)
Let c(b) = -b + 7. Let d be c(7). Let k(p) be the third derivative of 1/160*p**6 - p**2 + 0*p + 0*p**3 + 1/168*p**7 + 0*p**4 - 1/120*p**5 + d. Factor k(q).
q**2*(q + 1)*(5*q - 2)/4
Let i(n) be the first derivative of -1/300*n**5 + 2/3*n**3 + 0*n**4 - 2 + 1/900*n**6 + 0*n + 0*n**2. Let t(b) be the third derivative of i(b). Factor t(w).
2*w*(w - 1)/5
Let h(p) = 10*p - 22*p + 8*p + 3*p. Let a(i) = 4*i**3 - 8*i**2 - 4*i. Let u(l) = -a(l) + 4*h(l). Suppose u(o) = 0. What is o?
0, 2
Determine x so that x**3 + 2*x - 10*x - x - 3*x**4 + 6 - 3*x**2 + 8*x**3 = 0.
-1, 1, 2
Let w(r) = -r + 2. Let y(x) = 2*x**2 + 5*x - 5. Let i(q) = q**2 + 2*q - 2. Let m(f) = -5*i(f) + 2*y(f). Let n(a) = -m(a) - w(a). Let n(d) = 0. What is d?
-2, 1
Factor -1/2*y + 0*y**