pose 10*o - 22 = -2. Suppose -2/3*t**3 - 2/9*t + 0 - 2/9*t**4 - 2/3*t**o = 0. Calculate t.
-1, 0
Let t(m) be the first derivative of 0*m**2 - 1/4*m - 2 + 1/12*m**3. Suppose t(o) = 0. Calculate o.
-1, 1
Let u(r) be the first derivative of -1/4*r**3 + 1/16*r**4 + 3/4*r + 6 - 1/8*r**2. Factor u(g).
(g - 3)*(g - 1)*(g + 1)/4
Let 1/3*m**2 + m - m**3 - 2/3 + 1/3*m**4 = 0. Calculate m.
-1, 1, 2
Let x(t) = -2*t**3 - t**2 - t - 1. Let s be x(-1). Let -s + 0*o**3 + 2*o**3 - o**3 - 2*o**2 + 3*o - o**2 = 0. What is o?
1
Let m be 27/(-54)*8/(-5). Let q(b) be the first derivative of -3 - 1/5*b**2 - 2/15*b**3 + m*b. Let q(d) = 0. Calculate d.
-2, 1
Let m = 47/75 - 2/75. Let o(i) be the first derivative of m*i**5 + 0*i - 3 + 0*i**3 + 6*i**2 - 9/4*i**4. What is l in o(l) = 0?
-1, 0, 2
Let q be 12/18*(3 - 0). Factor -2*f**2 + 3 + 6*f**2 - q - 8*f + 3.
4*(f - 1)**2
Let i(l) be the second derivative of -2*l**7/105 - 7*l**6/150 + l**5/50 + 2*l**4/15 + l**3/15 - l**2/10 - 6*l. Determine s, given that i(s) = 0.
-1, 1/4, 1
Let j(k) be the second derivative of k**8/33600 + k**7/6300 + k**6/3600 - 5*k**4/12 - k. Let z(s) be the third derivative of j(s). Factor z(c).
c*(c + 1)**2/5
Let b(n) = 11*n - 33. Let u be b(3). Determine w so that 0 - 2/3*w**2 + u*w = 0.
0
Let a(k) = k**2 - 3*k. Let v be a(2). Let h(q) = -q**3 - 3*q**2 - q + 4. Let d be h(v). Factor -d - 1/2*u**2 - 2*u.
-(u + 2)**2/2
Let r(g) be the second derivative of g**5/4 + 10*g**4/3 + 35*g**3/2 + 45*g**2 - 4*g. Factor r(p).
5*(p + 2)*(p + 3)**2
Let d be (1 - (-4 + -82)) + -2. Let w be 221/d + -1*1. Factor 2/5*h**3 + 8/5*h - w*h**2 + 0.
2*h*(h - 2)**2/5
Let f(z) be the first derivative of -4*z + 2 + 5*z**2 + 2*z**4 + 22/3*z**3. Find p such that f(p) = 0.
-2, -1, 1/4
Let r(h) = -h**3 + 13*h**2 - 11*h. Let q be r(12). Suppose q*n**2 - 4*n**2 - 35*n**3 + 38*n**3 + 4*n**2 + 12*n = 0. Calculate n.
-2, 0
Factor 5*m + 5*m**2 - 3*m**2 - 3*m - 7 + 3.
2*(m - 1)*(m + 2)
Let z(q) be the first derivative of q**4/8 + q**3/6 - q**2/4 - q/2 + 42. Factor z(k).
(k - 1)*(k + 1)**2/2
Let g(f) be the second derivative of -f**5/80 + f**3/24 - 22*f. Factor g(d).
-d*(d - 1)*(d + 1)/4
Let j = -56 - -11. Let r be (-80)/(-126) - 10/j. Factor 2/7*v**4 + 0 - 2/7*v + r*v**2 - 6/7*v**3.
2*v*(v - 1)**3/7
Let u(z) be the first derivative of z**4/10 - 4*z**3/15 - z**2/5 + 4*z/5 + 9. Let u(g) = 0. Calculate g.
-1, 1, 2
Suppose 4*l + 2 - 10 = 0. Solve -5 + 3*n - n**3 - 6*n + 0*n**2 - 3*n**l + 4 = 0 for n.
-1
Let b be -3*(-3)/(-15)*-2. Determine i so that 0 - 2/5*i - 2/5*i**4 - b*i**2 - 6/5*i**3 = 0.
-1, 0
Let y(a) = -18*a**3 - 258*a**2 - 315*a - 104. Let b(i) = -9*i**3 - 129*i**2 - 158*i - 52. Let j(n) = -5*b(n) + 2*y(n). Factor j(q).
(q + 13)*(3*q + 2)**2
Let h(x) be the third derivative of -1/120*x**5 + x**2 + 1/360*x**6 + 0*x**4 + 0 + 0*x + 1/6*x**3. Let j(b) be the first derivative of h(b). Factor j(g).
g*(g - 1)
Factor 21/2*b**5 - 3*b**3 + 0*b + 0*b**2 - 15/2*b**4 + 0.
3*b**3*(b - 1)*(7*b + 2)/2
Let d = 5 + -11. Let b = d - -6. Determine v so that 2/3*v**2 + 2/3*v + b = 0.
-1, 0
Let w(t) be the second derivative of 1/12*t**3 + 0 + 1/12*t**4 + 1/40*t**5 - 2*t + 0*t**2. Factor w(g).
g*(g + 1)**2/2
Let u(z) = 3*z**2 - 3*z + 6. Let p(q) = -10*q**2 + 8*q - 18. Let l(f) = -2*p(f) - 7*u(f). Suppose l(g) = 0. What is g?
2, 3
Let c(u) be the third derivative of -u**7/175 + 17*u**6/600 - u**5/20 + u**4/40 + u**3/30 - 12*u**2. Factor c(a).
-(a - 1)**3*(6*a + 1)/5
Suppose -3*v + 305 = -m, 4*v - 80 = 3*v - 4*m. Let d be 40/v - 0/1. Solve d*q**4 - 8/5*q**3 + 12/5*q**2 - 8/5*q + 2/5 = 0 for q.
1
Factor -v**5 + 32*v**2 - 2*v**3 + 4*v**4 + 3*v**3 - 36*v**2.
-v**2*(v - 4)*(v - 1)*(v + 1)
Let a(u) be the second derivative of -3*u**7/70 - u**6/8 - u**5/20 + u**4/8 + 3*u**2/2 - 3*u. Let s(j) be the first derivative of a(j). Factor s(c).
-3*c*(c + 1)**2*(3*c - 1)
Let r(i) = -i**3 - i**2 - i - 1. Let a(p) = 4*p**2 + p - 3. Let f = 20 + -16. Let d(b) = f*r(b) - a(b). Factor d(l).
-(l + 1)*(2*l + 1)**2
Let c = -1 + 3. Suppose 0 = -f + 4*p - 10, 6*p - 4 = 4*f + c*p. Factor -j**2 + j + 3*j**2 - j**f.
j*(j + 1)
Let d(i) = 4*i**3 - 16*i**2 + 25*i - 8. Let h(f) = -10*f**3 + 40*f**2 - 62*f + 20. Let n(j) = 12*d(j) + 5*h(j). Solve n(m) = 0 for m.
1, 2
Let o be 0*2/6 + 1. Let -3*w**2 + o + w**3 + 0*w**2 + 0*w + 3*w + 6*w**2 = 0. Calculate w.
-1
Let t be 4 + (-30)/(-12)*(-6)/4. Factor -t*i**2 - 1/2*i - 1/4.
-(i + 1)**2/4
Let l(i) = -5*i**2 - 2*i - 4. Let p(b) = 0*b - 4*b - 10*b**2 - 12 - 4 + 7. Suppose 0*o + 4*o + 16 = 0. Let w(d) = o*p(d) + 9*l(d). Factor w(x).
-x*(5*x + 2)
Suppose -2*p - 8 = -2*k - 4*p, -3*p = 2*k - 8. Suppose 3*a - k = 2. Factor g - 3*g**2 + 4*g**2 + a*g**2.
g*(3*g + 1)
Let m(y) be the third derivative of -y**6/420 - 2*y**5/105 - 5*y**4/84 - 2*y**3/21 - 5*y**2. Factor m(f).
-2*(f + 1)**2*(f + 2)/7
Let t be 18/5 - 1 - (-71)/(-71). Factor -t*s**4 + 2/5*s + 0 - 8/5*s**2 + 2/5*s**5 + 12/5*s**3.
2*s*(s - 1)**4/5
Suppose 35 = 5*o + 90. Let t(v) = v**3 - 8*v**2 + 7*v + 6. Let g(p) = -2*p**3 + 15*p**2 - 13*p - 11. Let k(u) = o*t(u) - 6*g(u). Factor k(l).
l*(l - 1)**2
Suppose -3*b + 0 = -6. What is l in -3/2*l**4 + 5*l**3 - 1/2 + 3*l - 6*l**b = 0?
1/3, 1
Let g(o) be the third derivative of 1/420*o**7 - 1/240*o**6 + 0*o + 0*o**4 + 0 - 4*o**2 + 0*o**3 + 0*o**5. Factor g(t).
t**3*(t - 1)/2
Let h = 2 + 2. Determine a, given that -28/9*a**2 - 22/9*a + 8/9*a**3 + 14/9*a**5 + 32/9*a**h - 4/9 = 0.
-1, -2/7, 1
Let w(d) be the third derivative of -d**8/1008 + d**7/630 + d**6/180 - d**5/90 - d**4/72 + d**3/18 + 4*d**2. Suppose w(r) = 0. What is r?
-1, 1
Let z be 10 - (-2 + 11 + (-13 - -9)). Factor 1/4*x**z + 1/2*x**2 - 5/4*x**4 - 7/4*x + 3/2*x**3 + 3/4.
(x - 3)*(x - 1)**3*(x + 1)/4
Let p be -9 + 4 - 51/(-9). Factor -2/3*o**2 + 2/3*o**4 - 2/3*o**3 + p*o + 0.
2*o*(o - 1)**2*(o + 1)/3
Factor 2/7*o**3 + 0 - 4/7*o + 2/7*o**2.
2*o*(o - 1)*(o + 2)/7
Let d(r) be the second derivative of -r**4/12 - r**3/2 - r**2 + 9*r. What is f in d(f) = 0?
-2, -1
Let n(f) = 5*f**3 + 50*f**2 + 160*f + 160. Let a(m) = 10*m**3 + 100*m**2 + 320*m + 320. Let u(w) = -3*a(w) + 5*n(w). Determine k, given that u(k) = 0.
-4, -2
What is c in 10*c + 25*c - 12 - 10*c - 9*c - 4*c**2 = 0?
1, 3
Let r(l) be the third derivative of 3*l**7/350 - l**6/100 - l**5/15 - l**4/15 + 2*l**2. Find s, given that r(s) = 0.
-2/3, 0, 2
Let k be (-58)/(-18) - ((-195)/(-27) + -7). Factor 24/5*h**2 - 6/5*h**k + 6/5 + 3/5*h**5 - 6/5*h**4 - 21/5*h.
3*(h - 1)**4*(h + 2)/5
What is j in 12*j**3 - 4*j**5 + 121*j - 4*j**4 - 230*j + 117*j + 20*j**2 = 0?
-1, 0, 2
Let n(v) be the second derivative of v**6/105 + 3*v**5/70 + v**4/21 + v. Factor n(w).
2*w**2*(w + 1)*(w + 2)/7
Let p = 3457/27 + -128. Let x(v) be the second derivative of 2/9*v**2 - 1/45*v**5 + 1/189*v**7 + 2/135*v**6 - 2/27*v**4 + p*v**3 + 0 + v. Solve x(o) = 0.
-2, -1, 1
Let a(i) be the first derivative of -i**5/120 - i**2 + 3. Let w(g) be the second derivative of a(g). Factor w(l).
-l**2/2
Let b(a) = a**3 - 5*a**2 + 3*a + 3. Let k(j) = -2*j**3 + 6*j**2 - 4*j - 4. Suppose 12 - 9 = -z. Let r(u) = z*k(u) - 4*b(u). Suppose r(d) = 0. What is d?
-1, 0
Suppose 3*h + 10 = t + 4*t, 0 = 4*t + 5*h - 8. Find u such that 33*u - 12*u**3 + t*u**2 - 11*u**2 - 6 - 6*u = 0.
-2, 1/4, 1
Let v(w) = -3*w**3 - 3*w**2 + 12*w - 6. Let n(l) = l - 1. Let f(o) = -6*n(o) + v(o). Factor f(k).
-3*k*(k - 1)*(k + 2)
Let a = -41 - -44. Let w be (-12)/270*(-2 - a). Factor -w + 22/9*c**2 - 4/3*c**3 - 8/9*c.
-2*(c - 1)**2*(6*c + 1)/9
Let r = -1 - -4. Suppose -4*j + 4 + 24 = 0. What is t in -4 + t**r + 5*t**2 + 8*t + 1 + j = 0?
-2, -1
Solve h**3 + 2*h**5 + 5*h**3 - 8*h**3 = 0.
-1, 0, 1
Let a(b) be the third derivative of -b**7/525 - b**6/75 - 2*b**5/75 + 12*b**2. Factor a(h).
-2*h**2*(h + 2)**2/5
Let u(g) = -13*g**4 - 16*g**3 - 33*g**2 - 48*g - 7. Let m(z) = -7*z**4 - 8*z**3 - 16*z**2 - 24*z - 3. Let i(p) = 11*m(p) - 6*u(p). Factor i(r).
(r + 1)**2*(r + 3)**2
Let z be (-2)/6*-6*1. Solve z*p**2 + 8*p - 1 - 4*p**2 - 7 = 0 for p.
2
Let d be 5*1/(5/2). Let z be (-2)/(-24) - 3/(-36)*3. Factor z*x + 0 + 0*x**d - 1/3*x**3.
-x*(x - 1)*(x + 1)/3
Let s be (-3)/(-2) - 6/(-4). Let l be (-10)/20*(-4)/s. Factor 0 + 2/3*i + l*i**2.
2*i*(i + 1)/3
Suppose 18 = -3*y + 3*g, -3*y + 0*y + g = 12. Let t be y/12*2*0. Determine d, 