 a.
-2, -1, 2, 4
Let c(s) be the first derivative of -s**4 + 32*s**3/3 - 22*s**2 - 80*s - 2157. Solve c(x) = 0 for x.
-1, 4, 5
Let c = -37/45 + 311/360. Let j(i) be the second derivative of -c*i**4 - 6*i + 0 + 1/2*i**2 - 1/12*i**3. Determine s so that j(s) = 0.
-2, 1
Suppose 33*s = 22*s + 231. Let q(v) = -16*v + 336. Let l be q(s). Factor 2/3*d**3 + l - 4/3*d + 2/3*d**2.
2*d*(d - 1)*(d + 2)/3
Let x(s) be the second derivative of s**5/230 - 91*s**4/69 + s + 987. Let x(d) = 0. What is d?
0, 182
Let z(l) be the first derivative of -l**6/63 + 16*l**5/21 - 25*l**4/7 + 440*l**3/63 - 145*l**2/21 + 24*l/7 - 2252. Factor z(u).
-2*(u - 36)*(u - 1)**4/21
Let z(f) be the third derivative of 0 - 8/15*f**6 - 9*f - 7/10*f**4 + 2*f**2 - 4/15*f**3 - 24/25*f**5. Suppose z(h) = 0. What is h?
-2/5, -1/4
Let s be (5170/(-15))/47 - (7 - 17). Find m, given that -136/9*m**2 - 62/9*m**3 + s - 58/9*m - 8/9*m**4 = 0.
-4, -3, -1, 1/4
Let v(g) be the second derivative of g**5/40 - 59*g**4/24 - 20*g**3/3 + 8400*g**2 - 5918*g. Find f such that v(f) = 0.
-21, 40
Let t = 346 + -353. Let p be 216/30 + t + 1. Factor p*k - 8/5 + 2/5*k**2.
2*(k - 1)*(k + 4)/5
Let x(d) be the second derivative of -d**6/900 + d**5/90 - 7*d**4/180 + d**3/15 + 69*d**2 - 9*d + 3. Let q(o) be the first derivative of x(o). Factor q(g).
-2*(g - 3)*(g - 1)**2/15
Let o(h) be the third derivative of -h**7/2520 + 7*h**6/720 + 3*h**5/20 + h**4/8 + 55*h**2. Let v(r) be the second derivative of o(r). Factor v(s).
-(s - 9)*(s + 2)
Let i be 1053/(-7371)*(0/(2/1) - 0). Determine g so that 0*g + i - 2/13*g**3 - 8/13*g**2 = 0.
-4, 0
Let r(g) be the first derivative of -5*g**4/8 - 17*g**3/12 + 9*g**2/2 - 9*g/4 + 1202. What is a in r(a) = 0?
-3, 3/10, 1
Suppose 39*j = -26*j. Let z(m) = -4*m + 20. Let k be z(5). Factor -2/13*s**4 + k*s**2 + 0*s + j - 4/13*s**3 + 2/13*s**5.
2*s**3*(s - 2)*(s + 1)/13
Let g(m) = -2*m + 6*m**2 + 0*m**2 - 8*m**2 - 3*m**2. Let c(o) be the third derivative of o**4/24 - 2*o**2. Let z(r) = -3*c(r) + g(r). Factor z(f).
-5*f*(f + 1)
Let t(u) be the second derivative of 4 - 28/3*u**3 - 13*u + 1/3*u**4 + 80*u**2. Factor t(n).
4*(n - 10)*(n - 4)
Let p(k) be the second derivative of -k**5/4 + 65*k**4/3 + 265*k**3/6 + 692*k. Factor p(q).
-5*q*(q - 53)*(q + 1)
Let m(p) be the second derivative of 0 + 0*p**2 - 1/5*p**5 + 2/3*p**3 + 0*p**4 - 20*p. Factor m(r).
-4*r*(r - 1)*(r + 1)
Let j = 9 - -34. Let d = -27 + j. Factor v**4 - 14*v**3 + 2*v**4 - 6*v**3 + v**4 + d*v**2.
4*v**2*(v - 4)*(v - 1)
Let j(k) be the second derivative of 2/15*k**6 - 10*k**2 - 4*k**3 + 18*k + 4/3*k**4 + 6/5*k**5 + 4. Factor j(a).
4*(a - 1)*(a + 1)**2*(a + 5)
Let r(q) be the first derivative of -q**4/5 + 28*q**3/5 - 294*q**2/5 + 1372*q/5 - 1427. What is k in r(k) = 0?
7
Let c(h) = -h + 5. Let r be c(-1). Let -2*t**4 - 13*t + 22*t - 8 + 4 - 3*t**3 - 11*t + r*t**2 + 5*t**3 = 0. What is t?
-1, 1, 2
Let d(h) = 18*h**3 - 8*h**2 - 167*h + 24. Let t(o) = -19*o**3 + 9*o**2 + 158*o - 20. Let a(b) = 10*d(b) + 11*t(b). Factor a(c).
-(c - 2)*(c + 1)*(29*c + 10)
Let t be -26 + (241 - 17)/8. Factor 2*n**3 + 13*n + 5/2 + 25/2*n**t.
(n + 1)*(n + 5)*(4*n + 1)/2
Let f(o) be the second derivative of -2*o**6/15 - 4*o**5 - 35*o**4/3 + 40*o**3/3 + 72*o**2 - 2407*o + 1. Suppose f(a) = 0. What is a?
-18, -2, -1, 1
Suppose -702*b + 704*b + 6 = 0. Let f be (((-78)/126)/13)/(b/18). Determine i, given that 2/7*i**2 + 0*i + 0 + f*i**3 = 0.
-1, 0
Let a(l) be the second derivative of l**4/6 + 37*l**3/3 - 714*l**2 - 11076*l. Find h, given that a(h) = 0.
-51, 14
Let f(u) be the first derivative of 0*u + 3/8*u**4 - 3/10*u**5 - 1/6*u**3 + 1/12*u**6 + 0*u**2 - 7. Factor f(k).
k**2*(k - 1)**3/2
Let r = -281 - -286. Factor 3*l**3 + r*l**3 - 24 + 43*l**2 + 79*l**2 - 13 - 98*l + 5.
2*(l - 1)*(l + 16)*(4*l + 1)
Let p(g) be the first derivative of -g**5/105 + 11*g**4/21 + 46*g**3/21 - g**2/2 - 30*g + 110. Let r(o) be the second derivative of p(o). Factor r(c).
-4*(c - 23)*(c + 1)/7
Let q = 5187/5 - 11459/10. Let d = -647/6 - q. Factor 4*s - 14/3*s**2 + 0 + d*s**3.
2*s*(s - 6)*(s - 1)/3
Let y = 1793744/25383 + -4/8461. Find p such that -8 + y*p**3 + 44/3*p**4 + 268/3*p**2 + 76/3*p = 0.
-3, -1, 2/11
Suppose x = 5*f + 29 - 7, -2*f + 56 = 5*x. Factor 9*b**2 + x*b - 3*b**4 - 28*b + 14*b + 8*b.
-3*b*(b - 2)*(b + 1)**2
Let h(b) be the first derivative of b**3/12 + 137*b**2/4 + 18769*b/4 + 588. Find v, given that h(v) = 0.
-137
Let z(r) be the first derivative of -6*r - 13/2*r**3 - 3/10*r**5 + 9/4*r**4 + 25 + 9*r**2. Factor z(d).
-3*(d - 2)**2*(d - 1)**2/2
What is d in 5/4*d**4 + 31*d**2 + 27/2*d**3 + 22*d + 0 - 1/4*d**5 = 0?
-2, 0, 11
Let d(j) be the first derivative of -j**4/28 + 8*j**3/3 - 105*j**2/2 - 792*j/7 - 5722. Solve d(g) = 0.
-1, 24, 33
Let z(f) be the third derivative of f**6/120 + 13*f**5/120 - 13*f**4/24 - 4*f**3/3 + 117*f**2 + 5. Suppose z(v) = 0. Calculate v.
-8, -1/2, 2
What is h in 4/3*h**2 - 3100/3*h + 6184/3 = 0?
2, 773
Let w(z) = z + 2. Let p(j) = -3*j**2 + j - 8. Let u(f) = 2*f**2 + f + 9. Let t(l) = 3*p(l) + 4*u(l). Let o(r) = t(r) - 6*w(r). Factor o(y).
-y*(y - 1)
Let w be ((-3723)/(-146) + -26)*8/(-6). Determine r so that -4/3*r**4 - w*r**3 + 2/3*r**5 + 0*r + 4/3*r**2 + 0 = 0.
-1, 0, 1, 2
Suppose -72 = 4*w - 12*w. Find f, given that 1223*f**5 + 12 - 54*f + 60*f**2 - 1220*f**5 + w*f - 30*f**3 = 0.
-4, 1
Factor -8/7*h**2 + 0 + 0*h + 270/7*h**3 + 68/7*h**4.
2*h**2*(h + 4)*(34*h - 1)/7
Let k be (-396)/(-10) - 3*16/(-120). Factor k - 46*h**2 + 12*h + 16*h**2 + 26*h**2.
-4*(h - 5)*(h + 2)
Let h(c) be the first derivative of 2*c**6 - 33*c**5/5 - 129*c**4/4 - 10*c**3 - 3782. Find z such that h(z) = 0.
-2, -1/4, 0, 5
Let a(l) = 2*l**2 - 248*l + 1896. Let f(i) = 2*i**2 - 250*i + 1922. Let g(m) = -5*a(m) + 4*f(m). Factor g(q).
-2*(q - 112)*(q - 8)
Factor -32*h**2 + 0*h**2 + 30*h**2 - 2*h + 228*h + 56*h.
-2*h*(h - 141)
Determine w, given that -58989 - 3/7*w**2 + 318*w = 0.
371
Factor 3/2*y**2 + 87/2*y + 42.
3*(y + 1)*(y + 28)/2
Suppose -100 = 48*w - 47 - 53. Factor 0*x - 2/7*x**4 + 8/7*x**3 - 6/7*x**2 + w.
-2*x**2*(x - 3)*(x - 1)/7
Suppose 0 = 5*d - 5*h + 155, -5*d = -3*h + 146 + 5. Let o = -24 - d. Solve -2*a**2 - 16 + 35*a - o*a + 4 - 20*a = 0.
2, 3
Suppose 4 = -10*d + 1804. Let -19*g**2 + 43*g + 20*g - 18*g + 14*g**2 + d = 0. Calculate g.
-3, 12
Let i be -1 + (-20)/15*-3. Suppose -5*u = i*u - 16. Factor -2*c**3 - 2*c**4 - 2*c**5 - u*c**4 + 0*c**4.
-2*c**3*(c + 1)**2
Let i = 619523/2 + -309760. Suppose i - 1/4*q**2 + 5/4*q = 0. What is q?
-1, 6
Let i(m) be the second derivative of -m**5/10 + 19*m**4/3 + 4*m**3/3 - 152*m**2 + 5954*m. Suppose i(c) = 0. What is c?
-2, 2, 38
Let f(k) = -k. Let s(r) = 7*r**2 - 439*r - 12897. Let q(z) = 4*z**2 - 220*z - 6444. Let v(y) = 11*q(y) - 6*s(y). Let j(p) = -28*f(p) + 2*v(p). Factor j(m).
4*(m + 57)**2
Let n be (-1 - 1)/(2/(-5)). What is a in 2*a**4 + 213 + 4*a**n + 12*a**3 - 213 + 14*a**4 = 0?
-3, -1, 0
Let -578*a**4 + 4/3 - 170/3*a**3 + 1730/3*a**2 + 170/3*a = 0. What is a?
-1, -1/17, -2/51, 1
Suppose -44*p - 399769 = -399901. Factor 4/7*s**p - 5/7*s - 4/7*s**4 + 1/7*s**5 + 2/7 + 2/7*s**2.
(s - 2)*(s - 1)**3*(s + 1)/7
Let f(o) be the second derivative of -3 + 1/78*o**4 + 20/13*o**3 + 900/13*o**2 - 2*o. Determine r so that f(r) = 0.
-30
Let b(i) be the second derivative of -i**5/20 + 425*i**4/12 - 14981*i**3/2 - 45369*i**2/2 + 1139*i. Find c, given that b(c) = 0.
-1, 213
Let s = -6107 + 36647/6. Suppose -s*l**2 + 5/3*l + 5/2 = 0. What is l?
-1, 3
Let w(u) = 82*u + 1398. Let q be w(-17). Let a(n) be the first derivative of 15/4*n**q - 2*n**5 + 0*n - 5*n**2 + 5*n**3 + 16. Suppose a(y) = 0. What is y?
-1, 0, 1/2, 2
Let s(g) = -3*g**4 + 70*g**3 + 255*g**2 + 24*g - 338. Let q(f) = -20*f**4 + 490*f**3 + 1785*f**2 + 170*f - 2365. Let m(n) = -2*q(n) + 15*s(n). Factor m(y).
-5*(y - 17)*(y - 1)*(y + 2)**2
Suppose 3 = -12*w - 93. Let g(y) = -y**3 - 9*y**2 - 6*y + 18. Let q be g(w). Find d, given that -90/7*d**q + 69/7*d**3 + 12/7*d + 24/7 - 15/7*d**4 = 0.
-2/5, 1, 2
Let t(b) = -b**4 + b**2 + b. Let s(y) = 5*y + 119*y - 2647*y**4 + 2*y**3 + 2648*y**4 + 46*y**2 + 81. Let v(o) = -s(o) - 2*t(o). Factor v(i).
(i - 9)*(i + 1)*(i + 3)**2
Factor -4/7*f**3 + 76 - 1068/7*f + 540/7*f**2.
-4*(f - 133)*(f - 1)**2/7
Let r = -479 - -482. Let 0*o**3 +