c.
-1, 0
Let q(i) be the second derivative of -i**9/5040 + i**7/840 + i**4/6 - 4*i. Let a(b) be the third derivative of q(b). Suppose a(y) = 0. What is y?
-1, 0, 1
Factor 3*t**3 - 3*t**2 - 5*t + 2*t**3 - 5 + 0 + 8*t**2.
5*(t - 1)*(t + 1)**2
Suppose 2*m - 5 = -c - 2, 4*c - 12 = 2*m. Determine q so that 3/4*q**2 + 9/4 + c*q = 0.
-3, -1
Let z(b) be the first derivative of -b**4 + 1/2*b**2 - 4/5*b**5 + 0*b + 1/3*b**3 - 1. Factor z(n).
-n*(n + 1)*(2*n - 1)*(2*n + 1)
Suppose -5*o = 3*t - 15, t + 0*o - 3*o = -9. Determine k so that t*k + 0 - 1/4*k**4 - 1/2*k**3 - 1/4*k**2 = 0.
-1, 0
Let w = 63 - 100. Let b = -34 - w. Factor 1/2*m**b - 1/4*m**2 + 0 - 1/4*m.
m*(m - 1)*(2*m + 1)/4
Factor 281*y**3 + 18*y**5 + 119*y**2 + 288*y + 132*y**4 + 118*y**2 + 243*y**2 + 87*y**3 + 64.
2*(y + 2)**3*(3*y + 2)**2
Let k(f) be the third derivative of f**7/21 + f**6/20 - 7*f**5/30 - f**4/4 + 2*f**3/3 - 10*f**2. Factor k(o).
2*(o - 1)*(o + 1)**2*(5*o - 2)
Let h(q) = -q**2 + 8*q - 10. Let k be h(7). Let f = k - -5. Let 2*j**3 + f*j**3 - 6*j**3 = 0. What is j?
0
Let a(z) be the second derivative of -z**6/180 - z**5/20 - 13*z**4/72 - z**3/3 - z**2/3 - 4*z. Factor a(p).
-(p + 1)**2*(p + 2)**2/6
Let d(m) be the third derivative of -m**6/80 + m**5/24 + m**4/12 - m**3/3 - 12*m**2. Factor d(y).
-(y - 2)*(y + 1)*(3*y - 2)/2
Let y = -2 - -12. Let m be y/6 - 2/2. Factor -2/3*j**2 - 4/3*j - m.
-2*(j + 1)**2/3
Let y(r) be the third derivative of -r**4/24 - 5*r**3/6 - r**2. Let o be y(-6). Find v such that 7*v**2 - o + 1 - 6*v + 2 - 15*v**2 = 0.
-1, 1/4
Let o = 3407233 + -725739085/213. Let v = o + 6/71. Suppose -14*n**3 - 4/3 - 16/3*n**2 + v*n = 0. What is n?
-1, 2/7, 1/3
Let i(v) be the second derivative of -2*v - 9*v**2 - 2*v**3 - 1/6*v**4 + 0. Find x, given that i(x) = 0.
-3
Let m(j) = -j**3 - j**2. Let i(v) = -7*v**2 - 5*v + 2. Let u(z) = -2*i(z) - 18*m(z). Solve u(l) = 0.
-1, 2/9
Let q(i) = i**2 + i - 1. Let r(j) = 2*j**2 + 10*j + 10. Let o(m) = 2*q(m) + r(m). Factor o(h).
4*(h + 1)*(h + 2)
Factor -1/2*n + 0*n**2 + 1/2*n**3 + 0.
n*(n - 1)*(n + 1)/2
Let -4/7*k - 1/7*k**3 + 4/7*k**2 + 0 = 0. Calculate k.
0, 2
Let m(y) be the first derivative of y**7/126 - y**5/60 + 2*y - 3. Let b(v) be the first derivative of m(v). Let b(l) = 0. What is l?
-1, 0, 1
Let f = 410 + -1222/3. Solve -4/3*t**3 + f*t**2 + 0 - 4/3*t = 0 for t.
0, 1
Suppose -84 - 590 = -5*w - 3*f, 523 = 4*w - 3*f. Let m be 95/w*(2 + 0). Suppose -16/7*l**2 + m*l + 8/7*l**3 - 2/7 = 0. What is l?
1/2, 1
Factor 0*z**2 + 24*z**2 + 3 - 9 + 9*z**3 + 6*z**3 + 3*z.
3*(z + 1)**2*(5*z - 2)
Let u(s) be the third derivative of -s**9/3780 + s**4/12 - 3*s**2. Let f(y) be the second derivative of u(y). What is k in f(k) = 0?
0
Suppose -4*o - 4*u = -16, -5*u + 1 = o + 5. Suppose -2*z + 5*z = o. Solve 0*q - 2/7*q**4 - 4/7*q**3 - 2/7*q**z + 0 = 0 for q.
-1, 0
Let m(v) be the second derivative of -v**6/360 + v**5/180 + 3*v**2/2 + 4*v. Let u(x) be the first derivative of m(x). Find o such that u(o) = 0.
0, 1
Suppose -3*q - 2*q = 2*g, -4*g - 18 = q. Let z(j) = -j**5 - j**4 - j**2. Let a(c) = -27*c**4 + 33*c**3 - 25*c**2 + 4*c. Let i(d) = g*z(d) + a(d). Factor i(v).
v*(v - 2)*(v - 1)**2*(5*v - 2)
Let c be (-7)/(-2) - (-6)/(-4). Factor z**4 + z**c - z**2 - z**3 - z**2 + z.
z*(z - 1)**2*(z + 1)
Let x(f) be the first derivative of 5*f**3/7 - 9*f**2/14 - 6*f/7 - 1. Factor x(d).
3*(d - 1)*(5*d + 2)/7
Factor -4/3*m**2 - 2/3*m**3 - 2/3*m + 0.
-2*m*(m + 1)**2/3
Suppose -5*w - b = -8, 2*b = -4*w - 2*b. Let v be (4 - 7)/(-9)*2. Factor 2*k**w + v + 2*k + 2/3*k**3.
2*(k + 1)**3/3
Let z = 46 + -30. Let j = z - 14. Let -4/7*o**3 + 0*o**j - 2/7*o**4 + 0*o + 0 = 0. Calculate o.
-2, 0
Let m(y) be the third derivative of -y**8/1512 + y**6/135 + y**5/135 - y**4/36 - 2*y**3/27 - 8*y**2. Determine o so that m(o) = 0.
-1, 1, 2
Let f be (-2)/(-6) - (3 + (-19)/6). Factor -f - 2*d**4 - 13/2*d**2 + 6*d**3 + 3*d.
-(d - 1)**2*(2*d - 1)**2/2
Let u(f) = -f**2 + 7*f + 3. Let x be -1 - 3*(-4)/(-6). Let w(b) = b**2 - 13*b - 5. Let o(g) = x*w(g) - 5*u(g). Factor o(c).
2*c*(c + 2)
Let j(h) be the second derivative of h**4/18 - 2*h**3/9 - 10*h. Determine k so that j(k) = 0.
0, 2
Let t(x) = -x**4 + 4*x**3 - x**2. Let c(w) = -4*w**3. Let o(j) = 3*c(j) + 2*t(j). Suppose o(l) = 0. Calculate l.
-1, 0
Let o(i) be the first derivative of i**6/6 + i**5/5 - i**4/4 - i**3/3 + 12. Determine m so that o(m) = 0.
-1, 0, 1
Suppose -9/5*a**3 - 21/5*a**2 - 24/5 + 54/5*a = 0. What is a?
-4, 2/3, 1
Let n be 1/(((-10)/(-16))/5). Let l = n - 4. Factor -1/3*m**l + 0*m + 0 - 1/3*m**2 + 2/3*m**3.
-m**2*(m - 1)**2/3
Let k be (3/(-15))/(3/(-5)). What is u in -1 + 5/3*u - k*u**2 - 1/3*u**3 = 0?
-3, 1
Let j(n) = -20*n**2 - 40*n - 20. Let x = -16 + 32. Let o(g) = -4*g**2 - 8*g - 4. Let r(d) = x*o(d) - 3*j(d). What is q in r(q) = 0?
-1
Suppose 0 = 5*g + m - 67, 0*g = -3*g + m + 37. What is o in -13 + 6*o - 3*o + g + o**2 = 0?
-3, 0
Let j(m) be the first derivative of 2*m**5/5 - 3*m**4/2 - 4*m**3/3 + 12*m**2 - 16*m - 23. Determine i so that j(i) = 0.
-2, 1, 2
Suppose -5*x + 39 = -2*c + 3, -3*c - 73 = 2*x. Let b = c - -39. Find n, given that b*n**2 + 34/5*n + 4/5 + 32/5*n**3 = 0.
-2, -1/4
Factor 10*g**3 + 15*g**3 - g**3 + 20*g**4 + 4*g**5.
4*g**3*(g + 2)*(g + 3)
Suppose 3*d - 6 = -0*d. Let n be (3/d)/(5/10). Let -5/4*b**4 - 1/4*b + 0 + 1/2*b**5 + 3/4*b**n + 1/4*b**2 = 0. Calculate b.
-1/2, 0, 1
Suppose 0 = -0*p - 4*p + 24. Factor -2*n**3 - 2*n**2 - 4*n**2 + 5 - 4 - 3 - p*n.
-2*(n + 1)**3
Suppose -2*w - z = 2*w - 5, -15 = w - 3*z. Let y(l) = l**2 - 5*l + 2. Let i be y(5). Solve w*n**2 - i*n + 0*n**2 + 3*n + n**3 - 2*n**2 = 0 for n.
0, 1
Let s(h) be the second derivative of 1/6*h**4 - h + 0*h**2 - 1/3*h**3 + 0. Factor s(w).
2*w*(w - 1)
Let y be 3*((-36)/(-8) + -4). Factor -6 - 6*c - y*c**2.
-3*(c + 2)**2/2
Let u(s) be the third derivative of s**8/151200 + s**7/18900 - s**5/30 + 4*s**2. Let p(l) be the third derivative of u(l). What is t in p(t) = 0?
-2, 0
Let v be 1/(-4) + (475/220)/5. Factor 6/11*f**2 - v*f**3 - 8/11 + 0*f.
-2*(f - 2)**2*(f + 1)/11
Let y(c) be the third derivative of c**8/2856 - c**7/1785 - c**6/204 + c**5/510 + 2*c**4/51 + 4*c**3/51 - 23*c**2 - c. Factor y(s).
2*(s - 2)**2*(s + 1)**3/17
Let g(f) = -3*f - 1. Let b be g(-1). Let p(r) be the first derivative of -10/3*r**3 + 0*r + 7/2*r**4 - 6/5*r**5 + r**b + 1. Factor p(l).
-2*l*(l - 1)**2*(3*l - 1)
Let q(w) be the third derivative of w**8/42 + w**7/35 - 13*w**6/60 - 17*w**5/30 - w**4/4 + 2*w**3/3 + 10*w**2. Factor q(l).
2*(l - 2)*(l + 1)**3*(4*l - 1)
Suppose 4/7*v + 0 + 6/7*v**4 - 2/7*v**3 - 6/7*v**2 - 2/7*v**5 = 0. Calculate v.
-1, 0, 1, 2
Factor -3/2*h**2 - 9*h - 12.
-3*(h + 2)*(h + 4)/2
Let c be 2 + 0 + (1 - -1). Factor -c*m**4 + m**4 + m**2 + 6*m**4 + 3*m**3 + m**5.
m**2*(m + 1)**3
Let v = 1657/45 - 183/5. Factor -4/9*d**3 + 2/9*d**4 + v*d**2 + 0 + 0*d.
2*d**2*(d - 1)**2/9
Let t = -20/3 + 22/3. Let w be (-2)/(-7)*14/6. Factor w*d + t*d**2 + 0.
2*d*(d + 1)/3
Let j(a) = -a**3 + 7*a**2 + 2. Let z be j(7). Suppose z*i + 0 = 4. Factor 4/5 + 2/5*c - 2/5*c**i.
-2*(c - 2)*(c + 1)/5
Suppose -j + 4 = -2. Factor w**4 - w**3 + j*w**4 - 3*w**3 - 5*w**4.
2*w**3*(w - 2)
Let f(o) be the third derivative of 1/60*o**6 - 1/30*o**5 + 5*o**2 + 0*o - 1/12*o**4 + 0 + 1/105*o**7 + 0*o**3. Factor f(u).
2*u*(u - 1)*(u + 1)**2
Let s(h) = h + 14. Let u be s(-10). Let j be (20/(-25))/(u/(-10)). Solve 18/7*v**j + 54/7*v**4 + 0 - 54/7*v**3 - 2/7*v = 0.
0, 1/3
Let f(l) be the third derivative of l**8/896 + 3*l**7/560 - l**5/40 - 27*l**2. Factor f(n).
3*n**2*(n - 1)*(n + 2)**2/8
Let r(z) = 3*z**2 + z + 2. Let m be r(-1). Let l be (-12)/(-10) - (-3 + m). Factor 1/5*g**2 - 1/5*g + 0 - l*g**4 + 1/5*g**3.
-g*(g - 1)**2*(g + 1)/5
Let q(k) = k**5 - 16*k**4 + 37*k**3 - 46*k**2 + 40*k - 9. Let n(h) = h**4 - h**3 - h. Let x(a) = -21*n(a) - 3*q(a). Factor x(d).
-3*(d - 3)**2*(d - 1)**3
Let v be (6/(-10))/(9 + 138/(-15)). Determine d, given that 0 + 0*d**v + 0*d + 2/11*d**2 - 2/11*d**4 = 0.
-1, 0, 1
Let f(q) = -q**2 + 5*q - 1. Let n be f(2). Suppose 0*c**5 - c + 2*c**3 + c - c - c**n = 0. What is c?
-1, 0, 1
Let m(o) be the first derivative of o**4/16 - 11*o**3/12 + 35*o**2/8 - 25*o/4 - 13. Solve m(b) = 0.
1, 5
Let s(z) = z**4 - z**2 + z + 1. Let m(r) = -5*r**4 - 2*r**3 + 7*r**2 - 6*