-9). Factor 1/2 + l*s**2 + s.
(s + 1)**2/2
Let b(a) be the second derivative of -a**7/28 - a**6/20 + 9*a**5/40 + a**4/8 - a**3/2 - 58*a + 1. Let b(o) = 0. What is o?
-2, -1, 0, 1
Suppose 138*y - 137*y = 2. Factor 5 + 6*h - 9 - 6*h**3 + 8 - y*h**2 - 2*h**4.
-2*(h - 1)*(h + 1)**2*(h + 2)
Let b = -1498 - -4496/3. Determine q, given that 0*q + 7/3*q**3 + 7/3*q**4 + 0 + b*q**2 + 2/3*q**5 = 0.
-2, -1, -1/2, 0
Let m be 21*12/360*4. Factor -32/5*l + m*l**3 + 8/5 + 2*l**2.
2*(l - 1)*(l + 2)*(7*l - 2)/5
Let g(p) = -24*p**2 + 42*p + 7. Let a(n) = 7*n**2 - 14*n - 2. Let d(r) = 14*a(r) + 4*g(r). Solve d(l) = 0 for l.
0, 14
Let i(v) be the second derivative of v**4/54 + 53*v**3/27 + 272*v. Factor i(p).
2*p*(p + 53)/9
Factor 1/2*b - 2*b**2 + 5/2.
-(b + 1)*(4*b - 5)/2
Factor 7 - 2488*d + 5 + 2502*d + 2*d**2.
2*(d + 1)*(d + 6)
Let h(l) be the third derivative of -l**6/30 - l**5/15 + l**4/6 + 2*l**3/3 - 35*l**2. Suppose h(y) = 0. What is y?
-1, 1
Let g = 139/888 + -7/222. Find x, given that 0*x - 1/8*x**3 + 0 + g*x**2 = 0.
0, 1
Suppose 2*g - 3*g - 5 = 0, -t - 11 = 3*g. Suppose -3*c = t*k + 1, 2*k - c - 1 = 3*k. Determine b so that 6*b**2 + 5*b**3 + 2*b**2 - 2*b - 5*b**k = 0.
-1, 0, 2/5
Let f(c) = 12*c - 298. Let m be f(25). Let v(b) be the second derivative of 0 + 1/16*b**5 + 0*b**m + 8*b - 1/12*b**3 + 1/16*b**4. Suppose v(l) = 0. Calculate l.
-1, 0, 2/5
Suppose -2*i + 112 = 108. Let u(b) be the first derivative of -11 + 5*b**i - b**5 + 5/3*b**3 + 0*b - 5/2*b**4. Factor u(d).
-5*d*(d - 1)*(d + 1)*(d + 2)
Let a(y) be the third derivative of 1/2*y**3 + 3/8*y**4 + 3/20*y**5 + 0 + 1/40*y**6 - 11*y**2 + 0*y. Suppose a(x) = 0. What is x?
-1
Let r(a) be the third derivative of -a**8/1848 + a**7/105 - 7*a**6/110 + 34*a**5/165 - 10*a**4/33 - 295*a**2. Factor r(m).
-2*m*(m - 5)*(m - 2)**3/11
Let z(x) = -5*x**3 - 181*x**2 - 646*x - 626. Let l(j) = 45*j**3 + 1630*j**2 + 5815*j + 5635. Let t(r) = -6*l(r) - 55*z(r). Let t(k) = 0. Calculate k.
-31, -2
Let q(o) be the second derivative of -o**6/150 + 7*o**5/100 - o**4/10 - 16*o**3/15 + 16*o**2/5 - 193*o. Solve q(g) = 0.
-2, 1, 4
Let k(q) be the second derivative of -q**7/168 + q**6/30 - 7*q**4/24 + 17*q**3/24 - 3*q**2/4 - 155*q. Factor k(u).
-(u - 3)*(u - 1)**3*(u + 2)/4
Suppose 0 = 4*s + 3*v - 3 - 0, 5*s + 2*v - 2 = 0. Let d be -7*(s + 78/21 + -4). What is r in -8/3*r**2 + d*r + 2/3 = 0?
-1/4, 1
Let u be (-144)/(-126) + 6/105. Suppose 0*w**3 + 3/5*w + 0 - u*w**2 + 6/5*w**4 - 3/5*w**5 = 0. What is w?
-1, 0, 1
Let y(c) be the third derivative of c**8/1512 - c**6/135 - c**5/135 + c**4/36 + 2*c**3/27 - 19*c**2 - 3. Factor y(q).
2*(q - 2)*(q - 1)*(q + 1)**3/9
Suppose 0 = -s - 2*f - 0*f + 7, 2*f = 5*s - 11. Suppose 2*t - s*o = -5, -2*t - 3*o = -t - 11. Factor r**5 - 2*r**2 + r**t - 21*r**3 + r**4 + 20*r**3.
r**2*(r - 1)*(r + 1)**2
Solve -20 - 13*v**4 + 28*v**2 + 16*v**4 - 11*v**4 - 2*v**5 + 16*v**3 - 14*v = 0.
-5, -1, 1, 2
Let u(c) be the second derivative of -c**6/15 + 39*c**5/10 + 20*c**4/3 + 15*c + 8. Factor u(k).
-2*k**2*(k - 40)*(k + 1)
Find n such that 13*n**4 - 38*n**4 + 7*n**4 - 1680*n + 54*n**2 + 112*n**3 - 718*n**2 - 900 + 14*n**4 = 0.
-1, 15
Let d = -4493/2 - -2257. Factor -d*r - 147/4 - 3/4*r**2.
-3*(r + 7)**2/4
Let y(h) be the second derivative of h**7/1260 - h**6/45 + h**5/5 + 14*h**3/3 + 55*h. Let o(n) be the second derivative of y(n). Factor o(r).
2*r*(r - 6)**2/3
Let b(j) = -j**3 - j**2 - j - 1. Let m(p) = -4*p**3 + 6*p**2 - 10*p - 2. Let i(v) = 2*b(v) - m(v). Suppose i(w) = 0. What is w?
0, 2
Let b(v) = 28*v**4 + 68*v**3 - 27*v**2 - 97*v + 37. Let z(w) = -55*w**4 - 135*w**3 + 55*w**2 + 195*w - 75. Let o(h) = -5*b(h) - 3*z(h). Factor o(r).
5*(r - 1)*(r + 2)**2*(5*r - 2)
Let z = 214 + -1283/6. Let b(t) be the first derivative of -2 - 1/8*t**4 + 1/2*t**2 + 0*t + z*t**3. What is k in b(k) = 0?
-1, 0, 2
Let k(s) be the third derivative of 1/60*s**6 - 1/12*s**4 + 0 + 0*s - 2/3*s**3 + 13*s**2 + 1/15*s**5. Factor k(f).
2*(f - 1)*(f + 1)*(f + 2)
Let d(z) be the third derivative of -1/40*z**4 - 13*z**2 + 0 - 1/100*z**5 + 0*z + 1/200*z**6 + 1/10*z**3. Factor d(i).
3*(i - 1)**2*(i + 1)/5
Suppose 144*j - 138*j = 24. Let a(o) be the first derivative of 2 + 0*o**2 + 1/6*o**3 - 1/24*o**6 + 0*o + 1/5*o**5 - 5/16*o**j. Factor a(g).
-g**2*(g - 2)*(g - 1)**2/4
What is l in 1/8*l**5 + 5/8*l**4 - l - 1/2 - 1/8*l**2 + 7/8*l**3 = 0?
-2, -1, 1
Let a(v) be the second derivative of -v**5/4 - 5*v**4/3 + 25*v**3/2 + 45*v**2 + 411*v. Determine p so that a(p) = 0.
-6, -1, 3
Let a be ((-586)/(-444))/(2/2). Let i = 1/74 + a. Solve -2/3*d**3 - i*d**2 + 0*d + 0 = 0 for d.
-2, 0
Factor 0*i + 10/9*i**3 - 4/9*i**2 + 0 - 8/9*i**4 + 2/9*i**5.
2*i**2*(i - 2)*(i - 1)**2/9
Let h = 1243/115 - 221/23. Solve 3/5*w**4 + 3/5*w - h*w**3 + 3/5*w**5 + 3/5 - 6/5*w**2 = 0.
-1, 1
Let c(z) be the second derivative of z**6/105 + 2*z**5/35 - z**4/6 - 10*z**3/21 - 185*z. What is k in c(k) = 0?
-5, -1, 0, 2
Let b(f) be the first derivative of -f**6/10 - 6*f**5/5 - 6*f**4 - 16*f**3 - 24*f**2 + 11*f + 8. Let t(o) be the first derivative of b(o). Factor t(j).
-3*(j + 2)**4
Let n(g) be the second derivative of 0*g**2 + 10*g + 0*g**3 + 1/5*g**5 - 1/4*g**4 + 7/30*g**6 + 0. Factor n(v).
v**2*(v + 1)*(7*v - 3)
Let x(n) = 9*n**2 - 3*n - 18. Let b(w) = -9*w**2 + 3*w + 17. Let o(z) = -6*b(z) - 5*x(z). Let l(c) = c**2 - 1. Let s(d) = -12*l(d) + o(d). Factor s(t).
-3*t*(t + 1)
Let h be 6*(-99)/(-126) + 4/14. Suppose -4*y = h*i + 5, y + 5*i = 2*i - 3. Suppose 9*w**5 + y*w + 78/5*w**4 + 0 + 6/5*w**2 + 39/5*w**3 = 0. Calculate w.
-1, -2/5, -1/3, 0
Let i(s) be the second derivative of -s**7/42 - s**6/10 + 9*s**5/10 - s**4/3 - 4*s**3 + 7*s - 7. Determine r so that i(r) = 0.
-6, -1, 0, 2
Let a(i) be the first derivative of -2*i**5/25 + i**4 - 22*i**3/5 + 44*i**2/5 - 8*i - 28. Solve a(k) = 0 for k.
1, 2, 5
Let z(x) = -324*x**3 - 64*x**2 + 300*x + 40. Let f(q) = -65*q**3 - 13*q**2 + 60*q + 8. Let h(n) = -24*f(n) + 5*z(n). Suppose h(c) = 0. What is c?
-1, -2/15, 1
Let c be (1 - 0*((-5)/(-25))/1) + -1. Factor -8/9 + 2/3*z**2 + c*z + 2/9*z**3.
2*(z - 1)*(z + 2)**2/9
Let x(y) = -7*y**2 + 110*y - 105. Let v(z) = -z**2. Let r(h) = -2*v(h) + x(h). Let r(k) = 0. Calculate k.
1, 21
Let j(f) be the first derivative of 1/16*f**4 + 8 + 5/4*f**3 + 125/4*f + 75/8*f**2. Suppose j(t) = 0. Calculate t.
-5
Let m(z) be the third derivative of 5*z**8/336 - z**7/42 - z**6/12 - 2*z**2 + 92*z. Suppose m(k) = 0. Calculate k.
-1, 0, 2
Let q = 1969 - 3925/2. Find s such that -9/2*s**4 - q*s**2 + 0 - 10*s**3 - s = 0.
-1, -2/9, 0
Let r = 16018/3 - 5181. Let m = r - 157. Let -m*s**2 + 0*s + 4/3*s**4 + 0 - 6*s**5 + 6*s**3 = 0. What is s?
-1, 0, 2/9, 1
Let o be 13/78 - (3 - 1 - 2). Let h(k) be the second derivative of 3*k - 1/10*k**5 + 0 + 0*k**2 + 0*k**3 - o*k**4. Factor h(g).
-2*g**2*(g + 1)
Let r be 15/6 - (-9)/6. Determine q, given that -2*q**2 - 3*q**3 - 11*q**r - 25 + 10*q**4 + 25 = 0.
-2, -1, 0
Let x(a) be the second derivative of a**7/28 + 7*a**6/40 + 27*a**5/80 + 5*a**4/16 + a**3/8 - 57*a + 1. Factor x(k).
3*k*(k + 1)**3*(2*k + 1)/4
Solve -48*k - 44929 + 45115 - 3*k**2 + 231*k = 0.
-1, 62
Let a(l) be the third derivative of l**6/30 + 29*l**5/15 - l**4/6 - 58*l**3/3 + 76*l**2 - 2*l. Factor a(c).
4*(c - 1)*(c + 1)*(c + 29)
Let t(k) be the first derivative of -4/3*k**3 + 1/3*k**4 + 8/3*k**2 - 3 + k - 1/30*k**5. Let g(a) be the first derivative of t(a). Factor g(o).
-2*(o - 2)**3/3
Factor 77*r - 5 - r**2 + 6 - 84*r - 11.
-(r + 2)*(r + 5)
Let r(f) be the first derivative of 14*f**6/3 + 76*f**5/5 - 34*f**4 + 32*f**3/3 - 67. Let r(y) = 0. What is y?
-4, 0, 2/7, 1
Let y = 497 - 493. Let x(b) be the third derivative of -1/84*b**y + 1/105*b**6 + 6*b**2 + 0*b + 0*b**3 + 0 + 1/70*b**5. Factor x(j).
2*j*(j + 1)*(4*j - 1)/7
Let v(x) be the first derivative of 0*x**2 - 6 - 1/16*x**4 - 1/6*x**3 + 0*x. Factor v(l).
-l**2*(l + 2)/4
Factor -144/7 - 2/7*h**2 - 76/7*h.
-2*(h + 2)*(h + 36)/7
Suppose 0 = -4*h - 4*a, 0 = 3*h + 2*a - a - 4. Let i = -1/6513 - -13033/45591. Suppose i*d**h + 0 + 4/7*d = 0. What is d?
-2, 0
Let x be (30/(-8))/(1/(-20)). Suppose o + x = 4*o. Factor 0 + 5*l**3 + 10 + 23*l**2 + o*l - 3*l**2.
5*(l + 1)**2*(l + 2)
Let u = -6722 - -6724. Factor 2/3*v**3 - 8/3*v**5 + 0*v**u + 2*v**4 + 0 + 0*v.
-2*v**3*(v - 1)*(