s) = 0.
-56, -3
Let s(k) be the first derivative of -k**3 + 84*k**2 - 477*k - 1065. Suppose s(i) = 0. What is i?
3, 53
Factor -16*i**3 + 16*i + 2/5*i**4 - 2/5*i**2 + 0.
2*i*(i - 40)*(i - 1)*(i + 1)/5
Let c(r) be the second derivative of 0 + 5*r**2 - 1/12*r**4 + 1/2*r**3 + 33*r. Factor c(u).
-(u - 5)*(u + 2)
Let j(p) be the first derivative of -32*p**3/3 - 426*p**2 + 324*p + 815. Factor j(l).
-4*(l + 27)*(8*l - 3)
Let f be (-18)/(-42) + (-36)/(-14). Solve 54*o**2 + 41*o**3 - 37*o**f - 2*o**2 = 0.
-13, 0
Let f be (-123)/(-328) + 1485/8. Let i = 932/5 - f. Factor i*r**4 + 2/5*r**2 - 4/5 + 6/5*r**3 - 6/5*r.
2*(r - 1)*(r + 1)**2*(r + 2)/5
Let f(b) be the second derivative of 9*b**4 + 6*b**3 + b**2/2 - 32*b - 2. Let h(d) = -108*d**2 - 36*d. Let w(l) = 3*f(l) + 2*h(l). Factor w(k).
3*(6*k + 1)**2
Let z(c) = -7*c**2 + 104*c - 1. Let w be z(6). Let u be (-28)/(-30)*2544/w. Factor u*a + 18/5*a**2 - 8/5.
2*(a + 2)*(9*a - 2)/5
Let d(b) = -30*b + 1685. Let l be d(56). Let i(x) be the first derivative of 5/18*x**3 - 2/3*x**4 + 3/10*x**l - 2 + 1/6*x**2 + 0*x. Solve i(p) = 0 for p.
-2/9, 0, 1
Let f(p) be the second derivative of -4*p**6/45 + p**5/2 - 11*p**4/18 + 7*p - 20. Factor f(m).
-2*m**2*(m - 1)*(4*m - 11)/3
Let n(w) = 6*w**2 + 192*w + 3072. Let v = 229 + -228. Let d(p) = p**2. Let g(q) = v*n(q) - 3*d(q). Factor g(f).
3*(f + 32)**2
Let a = 117 + 66. Find x, given that -152*x + 39*x**2 - 1230*x - a*x**2 + 46*x - 3*x**3 - 392*x = 0.
-24, 0
Let k(c) be the second derivative of c**7/840 + c**6/120 - 3*c**5/40 + 5*c**4/3 - 5*c + 2. Let m(j) be the third derivative of k(j). Factor m(s).
3*(s - 1)*(s + 3)
Let j(c) be the third derivative of -c**7/210 + c**6/120 + 12*c**5/5 - 6*c**4 + 11*c**2 - 93*c. Determine q, given that j(q) = 0.
-12, 0, 1, 12
Let b(w) be the first derivative of w**5/5 + w**3 - 4*w + 101. Let r(k) = -2*k - k**4 - 4*k - 4*k**2 + 6*k + 5. Let v(p) = -5*b(p) - 4*r(p). Solve v(q) = 0.
-1, 0, 1
Factor -2/11*m**2 - 2/11*m**3 + 0*m + 0.
-2*m**2*(m + 1)/11
Let h(l) be the second derivative of -5*l**4/12 - 2125*l**3/3 + 4255*l**2/2 - 21*l - 63. Suppose h(s) = 0. Calculate s.
-851, 1
Let n(m) be the second derivative of -m**4/18 + 4*m**3/3 - 11*m**2/3 - 5*m + 249. Factor n(s).
-2*(s - 11)*(s - 1)/3
Let s(v) be the second derivative of v**5/30 + 23*v**4/18 - 8*v**3/3 - 656*v. Let s(c) = 0. What is c?
-24, 0, 1
Factor 1428050/17 + 2/17*m**2 + 3380/17*m.
2*(m + 845)**2/17
Factor 1568978 + 3553411 + 143883*m + 24*m**3 + 2705029 + 2676041 - 23*m**3 + 657*m**2.
(m + 219)**3
Suppose s - 82 = -5*v + 33, -2*v + 68 = -4*s. Let p be 5 + -1 - (v/(-3))/4. What is a in -2*a**3 + 15*a - 18*a**2 - p*a + 18*a + 5*a**3 = 0?
0, 3
Let a = 285404 + -1997816/7. Let a + 12/7*s**2 - 2/7*s**3 - 22/7*s = 0. What is s?
1, 2, 3
Let g(j) be the second derivative of 0 + 0*j**2 + 28/3*j**4 + 46*j + 8*j**3 + 8/15*j**6 + 19/5*j**5. Factor g(s).
4*s*(s + 2)**2*(4*s + 3)
Let w(h) be the third derivative of -h**5/12 + 65*h**4/4 - 385*h**3/6 - 5235*h**2. Solve w(f) = 0 for f.
1, 77
Let l(k) = 4*k**3 + 2*k**2 + 78*k - 112. Let h(v) = v**3 + v**2 + 27*v - 37. Let p(m) = -7*h(m) + 2*l(m). Factor p(n).
(n - 7)*(n - 1)*(n + 5)
Let f = -547 + 550. Factor -200*l**2 + 71 + 55*l - 18*l**3 + 59 + 14*l**f + 19*l**3.
5*(l - 13)*(l - 1)*(3*l + 2)
Let x be (18 - 2340/126)/((-6)/7). Suppose 3*u - 19 + 7 = 0. Factor -2*n**u + 0*n - 4/3*n**5 + 0*n**2 - x*n**3 + 0.
-2*n**3*(n + 1)*(2*n + 1)/3
Let b(h) = -12*h + 81. Let a be b(6). Let v(g) = 21*g**2 - 135*g + 159. Let p(n) = -5*n**2 + 34*n - 39. Let q(w) = a*p(w) + 2*v(w). Factor q(u).
-3*(u - 11)*(u - 1)
Let l(i) = 89*i - 3376. Let m be l(38). Let y(c) be the third derivative of -7*c - c**2 + 1/4*c**5 + 0 - 1/24*c**m + 0*c**3 + 0*c**4. What is j in y(j) = 0?
0, 3
Let x be 6/5*2240/96. Suppose 0 = -27*i + x*i. Factor i - 20 + 15*v**2 - 5*v**3 + 0*v**3.
-5*(v - 2)**2*(v + 1)
Determine l, given that 744/5*l + 2/5*l**3 + 0 - 376/5*l**2 = 0.
0, 2, 186
Let s(z) be the first derivative of -z**7/42 - 11*z**6/90 + z**3/3 - 9*z**2/2 + 290. Let k(d) be the third derivative of s(d). What is i in k(i) = 0?
-11/5, 0
Suppose -220*i + 231*i - 528 = 0. Let r be (-742)/(-49) - i/(-6). Determine z so that 0 + 36/7*z**2 - 2/7*z**3 - r*z = 0.
0, 9
Suppose -9/2*j + 1/4*j**2 - 70 = 0. Calculate j.
-10, 28
Let v(w) be the first derivative of -w**4 + 236*w**3/3 - 1342*w**2 - 2924*w + 179. Suppose v(n) = 0. Calculate n.
-1, 17, 43
Let z = -1/234319 + 937281/1171595. Solve -29/5*p + 7/5 + z*p**2 = 0.
1/4, 7
Factor 2/11*y**2 - 18/11*y - 104/11.
2*(y - 13)*(y + 4)/11
Let a(c) be the first derivative of -75/22*c**4 + 0*c - 62 - 12/11*c**2 - 40/11*c**3. Solve a(z) = 0 for z.
-2/5, 0
Let q(x) be the third derivative of 2339067*x**5/20 - 883*x**4/2 + 2*x**3/3 - 57*x**2 + 28*x. Factor q(l).
(2649*l - 2)**2
Let y(s) = s - 3*s**3 - 59805 + 59805. Let i be y(-1). Find b such that -9/2*b**i - 3*b + 0 - 3/2*b**3 = 0.
-2, -1, 0
Suppose 5*m - 28 = -4*c, -3*m + 2*c = -m - 22. Let q be ((-135)/(-84))/5*m/3. Find z, given that -2/7 - 4/7*z**2 - 4/7*z**3 + q*z**4 + 6/7*z - 2/7*z**5 = 0.
-1, 1
Let l be (1 + (-28)/(-42))/(10/72). Let g be ((-8)/l*3*-4)/6. Determine p so that 2*p**2 + 1/3*p**4 + 1/3 - g*p - 4/3*p**3 = 0.
1
Let b(k) = -28*k - 1258. Let q be b(-45). Let h(a) be the second derivative of -2*a**q + 0 - 5/3*a**4 + 4*a**3 - 26*a. Factor h(m).
-4*(m - 1)*(5*m - 1)
Let g(b) = -373*b**2 + 7*b + 11 + 12 + 384*b**2 + 7. Let n be (-1)/(3 - (-101)/(-34)). Let p(j) = 2*j**2 + j + 5. Let u(h) = n*p(h) + 6*g(h). Factor u(t).
-2*(t - 5)*(t + 1)
Let l(n) = -n**2 - n - 1. Let s(m) = -m**3 + 6*m**2 + 8*m - 13. Let f(w) = -5*l(w) + s(w). Let v be f(12). Solve 2 - 6 - 4*o**v + 6*o**2 + 2*o**2 = 0.
-1, 1
Let s(u) = 7*u**3 + 53*u**2 + 218*u + 172. Let t(g) = -6*g**3 - 54*g**2 - 219*g - 171. Let k(v) = 3*s(v) + 4*t(v). Solve k(f) = 0 for f.
-14, -4, -1
Factor -37*j**3 - 74*j + 408*j - 112*j - 91*j + 69*j**2 + 4*j**4 - 46*j - 25.
(j - 5)**2*(j + 1)*(4*j - 1)
Let z(d) be the second derivative of d**4/3 + 36*d**3 - 110*d**2 - 1419*d. Factor z(g).
4*(g - 1)*(g + 55)
Determine x so that 2/3*x**2 + 227138/3 + 1348/3*x = 0.
-337
Let n(b) be the second derivative of -b**5/60 + 143*b**4/18 - 95*b**3/6 + 8*b - 69. Factor n(s).
-s*(s - 285)*(s - 1)/3
Let q = 61 + 10. Suppose q = 14*o - 125. Factor -o*s**2 + 9*s**2 + 9*s**2 + 4*s.
4*s*(s + 1)
Let g(x) be the first derivative of x**3/27 - 73*x**2/9 + 145*x/9 - 1013. Suppose g(y) = 0. What is y?
1, 145
Factor 0 + 5/2*t**2 + 51/8*t + 1/8*t**3.
t*(t + 3)*(t + 17)/8
Let l(g) be the third derivative of -4*g**8/273 + 32*g**7/1365 + g**6/130 - 7*g**5/390 + g**4/156 + 1091*g**2. Find n, given that l(n) = 0.
-1/2, 0, 1/4, 1
Let k(d) be the third derivative of d**10/680400 + d**9/68040 + d**8/30240 + 19*d**5/15 + 57*d**2. Let t(x) be the third derivative of k(x). Factor t(o).
2*o**2*(o + 1)*(o + 3)/9
Let r(y) be the third derivative of y**5/140 + 23*y**4/56 + 51*y**3/7 + y**2 + 378. Factor r(k).
3*(k + 6)*(k + 17)/7
Suppose -1876/3*n + 219961/3 + 4/3*n**2 = 0. What is n?
469/2
Let k = 198729/8 + -24841. Factor 3/2*h + k*h**3 + 0 + h**2.
h*(h + 2)*(h + 6)/8
Suppose 150*b + 7 = 151*b - 3*n, 5*n - 62 = -4*b. Let x be 4 + b/(1248/(-252)). Factor -1/8*w**2 + x - 5/4*w.
-(w - 1)*(w + 11)/8
Let -10/13*s**4 + 24/13 - 14/13*s**2 - 56/13*s + 6*s**3 - 22/13*s**5 = 0. Calculate s.
-2, -1, 6/11, 1
Let r(j) be the third derivative of j**8/840 + j**7/105 + j**6/45 - 71*j**3/6 - 23*j**2. Let v(g) be the first derivative of r(g). Factor v(o).
2*o**2*(o + 2)**2
Let h(b) be the second derivative of -56*b - 7/6*b**4 + 1/5*b**5 + 1/15*b**6 + 0*b**2 + 4/3*b**3 + 0. Factor h(g).
2*g*(g - 1)**2*(g + 4)
Let z(g) = 178*g + 2316. Let v be z(-13). What is f in 0*f**v + 0 - 3/2*f**4 - 9/2*f**3 + 6*f = 0?
-2, 0, 1
Let v(f) be the second derivative of f**5/20 + f**4/12 - 38*f**3/3 + 70*f**2 + f + 135. Solve v(u) = 0 for u.
-10, 2, 7
Let h be (-12)/(-60) - 162/(-15). Let r(g) be the second derivative of -1/40*g**5 - 1/36*g**4 + 0 + h*g - 1/180*g**6 + 0*g**3 + 0*g**2. Let r(k) = 0. What is k?
-2, -1, 0
Let m = -14673 + 14675. Determine c, given that -8/3*c**m - 2/3*c**3 - 10/3*c - 4/3 = 0.
-2, -1
Determine w, given that 16/5*w - 16/5 + 4/5*w**2 - 4/5*w**3 = 0.
-2, 1, 2
Let g(a) be the first derivative of 5*a**