 6)/12
Let c = -25230 + 25232. Find j such that 1/6*j**c + 1/3*j + 0 = 0.
-2, 0
Let x(w) be the third derivative of 19*w**4/24 + 7*w**3/3 - 25*w**2. Let r be x(5). What is f in 110*f**2 + f + 1 + f - r*f**2 = 0?
-1
Let c = -1356/215 + 7227/430. Find f such that 9 + c*f + 0*f**2 - 3/2*f**3 = 0.
-2, -1, 3
Suppose -28*g**4 - 180 - 260*g**3 - 46*g + 3*g**5 + 300*g + 95*g**2 + 3*g**5 + 113*g**2 = 0. Calculate g.
-5, -1, 2/3, 1, 9
Let b(o) = -14*o - 89. Let w be b(-7). Suppose -2*s = 0, 5*k + 2*s = w + 6. What is x in -3/2 - 1/2*x**k - 7/2*x - 5/2*x**2 = 0?
-3, -1
Let f(i) be the second derivative of -i**4/66 + 107*i**3/33 + 253*i + 1. Determine p, given that f(p) = 0.
0, 107
Let v(n) be the first derivative of -1/330*n**5 - 64/33*n**3 + 0*n + 9*n**2 - 4/33*n**4 + 3. Let t(m) be the second derivative of v(m). Factor t(j).
-2*(j + 8)**2/11
Let d = 75 + -72. Factor -48*q**d - 26 + 26*q**2 + 9*q + 46*q**3 - 7*q.
-2*(q - 13)*(q - 1)*(q + 1)
Let g be (-6)/(-192)*40 + ((-5332)/(-240))/(-31). Suppose 5*i = 11 - 1, 3*i = 2*t. Solve 2/3*c**4 + 0 + g*c - 8/5*c**2 + 2/5*c**t = 0.
-2, 0, 2/5, 1
Let l(c) = 2*c**2 - 245*c - 5056. Let i be l(-18). Factor -68*y - 2312 - 1/2*y**i.
-(y + 68)**2/2
Let p(l) = -l**4 - l. Let j(i) = 7*i**4 + 33*i**3 - 31*i**2 - 25*i + 32. Let t(m) = -3*j(m) - 24*p(m). Suppose t(d) = 0. What is d?
-1, 1, 32
Let l(h) = -1390*h**2 + 6958*h - 36. Let o be l(5). Factor 1/4*t**o + 1/4*t**3 - 3/4*t**2 - 1/2 - 5/4*t.
(t - 2)*(t + 1)**3/4
Suppose -3*m + 205 + 47 = 0. Let m*n + 5006*n**2 - 5010*n**2 + 60 - 28*n = 0. Calculate n.
-1, 15
Let d(l) be the second derivative of l**7/21 - 19*l**6/15 + 56*l**5/5 - 32*l**4 + 12*l - 12. Factor d(p).
2*p**2*(p - 8)**2*(p - 3)
Let f(a) be the second derivative of 9 - 4*a + 5/102*a**4 + 0*a**2 + 0*a**3 + 1/170*a**5. Find j such that f(j) = 0.
-5, 0
Let u = 23300/7 - 3294. Let r(b) be the first derivative of u*b + 42 - 22/7*b**2 + 2/21*b**3. Factor r(s).
2*(s - 11)**2/7
Suppose -2*w = -5*i - 2007, 0 = -36*i + 39*i - w + 1205. Let l = 405 + i. Factor -8/7 - 2/7*y**l - 10/7*y.
-2*(y + 1)*(y + 4)/7
Suppose 2/15*l**3 - 994/15*l + 1274/5 + 10/3*l**2 = 0. Calculate l.
-39, 7
Let f(t) = -43 + 23*t - 17*t**2 - 17*t**2 + 33*t**2. Let m be f(15). Factor -6*w**2 + 24 + 4*w**3 + 32*w + 33*w - m*w - w**3.
3*(w - 2)**2*(w + 2)
Let d(x) be the second derivative of -x**7/42 + 29*x**6/30 - 27*x**5/2 + 175*x**4/3 + 500*x**3/3 - 763*x - 2. Determine w, given that d(w) = 0.
-1, 0, 10
Let k(p) be the third derivative of p**6/780 + 29*p**5/390 + 73*p**4/78 + 184*p**3/39 + 3627*p**2. Factor k(c).
2*(c + 2)*(c + 4)*(c + 23)/13
Suppose -518*a = -39 - 997. Factor -8/5*y + 0 + 2/5*y**a.
2*y*(y - 4)/5
Let b(c) be the second derivative of -c**6/105 - c**5/10 - 3*c**4/7 - 20*c**3/21 - 8*c**2/7 - 2*c + 641. Factor b(s).
-2*(s + 1)*(s + 2)**3/7
Let a be 80/(-4)*4/(-10). Let c(g) = g**3 - 8*g**2 - 9*g + 2. Let f be c(9). Factor -v + a*v**f - 21*v**2 + 4 - v - 2*v - 5*v**3.
-(v + 1)*(v + 2)*(5*v - 2)
Let r(b) be the third derivative of 17/80*b**4 + 123*b**2 + 1/600*b**5 + 0*b - 13/15*b**3 + 0. Factor r(h).
(h - 1)*(h + 52)/10
Find r such that -5787 + 11*r + 209*r + 55*r**4 + 5827 - 155*r**3 - 30*r**2 = 0.
-1, -2/11, 2
Let n(x) = -x**3 + 14*x**2 - 15*x - 4. Let l be n(10). Let m be 23/6 - (-41)/l. Factor 135*r**5 - 60*r**m + 0*r**2 + 0*r + 20/3*r**3 + 0.
5*r**3*(9*r - 2)**2/3
Let r(t) = -343*t + 22298. Let p be r(65). Find k such that 1/7*k**5 + 0*k + 16/7*k**2 + 8/7*k**p - k**4 + 0 = 0.
-1, 0, 4
Let k(i) be the third derivative of -i**7/42 - 35*i**6/24 - 29*i**5/2 + 17*i**2 + 69*i - 1. Determine c so that k(c) = 0.
-29, -6, 0
Let c(j) be the second derivative of -9*j**6/40 - 219*j**5/40 - 52*j**4 - 935*j**3/4 - 3525*j**2/8 + 15362*j. Let c(b) = 0. What is b?
-47/9, -5, -1
Factor -1/4*o**2 + 1186*o - 1406596.
-(o - 2372)**2/4
Let k(o) be the second derivative of -o**4/30 - 211*o**3/5 + 634*o**2/5 - 1359*o + 3. Solve k(z) = 0 for z.
-634, 1
Let m(p) be the first derivative of 2/3*p**3 + 1/30*p**5 - 1/4*p**4 + 14*p**2 + 16 + 0*p. Let l(k) be the second derivative of m(k). Factor l(i).
2*(i - 2)*(i - 1)
Let f(n) be the first derivative of 47*n**3/6 + 49*n**2/4 + n + 1462. Factor f(q).
(q + 1)*(47*q + 2)/2
Let i(o) = -33*o**3 - 35697*o**2 - 35354811*o - 11678907189. Let m(y) = 8*y**3 + 8924*y**2 + 8838704*y + 2919726798. Let d(w) = -5*i(w) - 21*m(w). Factor d(l).
-3*(l + 991)**3
Let c(t) be the first derivative of -2*t**6/15 + 72*t**5/25 + 3*t**4/5 - 224*t**3/15 + 72*t**2/5 + 8224. Solve c(g) = 0 for g.
-2, 0, 1, 18
Suppose 167*t + 394*t - 376 = 4112. Factor -t*j**2 + 0 - 32/3*j - 2*j**3 - 1/6*j**4.
-j*(j + 4)**3/6
Let u = 180409/9 + -20045. Let a(s) be the first derivative of 2/5*s**5 + s**2 - u*s**3 - 2/3*s - 1/9*s**6 - 1/3*s**4 + 10. Determine g, given that a(g) = 0.
-1, 1
Let g(f) be the third derivative of 1/2*f**3 + 3 - 1/224*f**8 + 1/20*f**6 + 0*f + 0*f**7 - 1/20*f**5 - 3/16*f**4 + 12*f**2. Suppose g(o) = 0. What is o?
-2, -1, 1
Let r(n) be the first derivative of -15*n**2 - 5/3*n**3 + 60 + 35*n. Factor r(w).
-5*(w - 1)*(w + 7)
Let s = -22631/66 - -685/2. Let v = 487/231 + s. Find z such that -24/7*z**3 - 40/7*z - v - 48/7*z**2 - 4/7*z**4 = 0.
-3, -1
Let f be 4*(27/6 - 4). Suppose 2*p = p + f. Let -2 - 3*v + v**3 - p + 2 + 4 = 0. What is v?
-2, 1
Let t(n) be the second derivative of n**4/21 + 194*n**3/21 + 920*n**2/7 - 1052*n. Find x such that t(x) = 0.
-92, -5
Let i(d) be the third derivative of d**8/126 - 668*d**7/315 - 677*d**6/60 - 764*d**5/45 - 85*d**4/9 - 264*d**2. Let i(s) = 0. Calculate s.
-2, -1/2, 0, 170
Suppose 27*p - 2852 = -2798. Let n(m) be the first derivative of -1/3*m**6 - m**p + 0*m**3 + 0*m + 0*m**5 - 14 + m**4. Solve n(j) = 0 for j.
-1, 0, 1
Let o(b) be the second derivative of 7*b**6/25 + 327*b**5/100 - 38*b**4/5 + 11*b**3/10 + 27*b**2/5 + 137*b - 1. Let o(y) = 0. Calculate y.
-9, -2/7, 1/2, 1
Let u(v) be the third derivative of v**7/1080 - v**6/90 + v**5/40 - v**4/6 - 2*v**3 + 60*v**2. Let b(d) be the second derivative of u(d). Factor b(y).
(y - 3)*(7*y - 3)/3
Let p(v) be the first derivative of v**5/20 - 3*v**4/2 + 18*v**3 + v**2/2 - 34*v + 229. Let k(c) be the second derivative of p(c). Find o, given that k(o) = 0.
6
Let n(b) = -27*b - b + 83 - 12*b**3 - 20*b - 55*b**2 + 45*b**3. Let h(k) = 15*k**3 - 27*k**2 - 24*k + 42. Let c(s) = 13*h(s) - 6*n(s). Factor c(o).
-3*(o - 1)*(o + 4)**2
Let b = 8306 - 16611/2. Let d(c) be the second derivative of 1/20*c**4 - b*c**3 + 0*c**2 + 0 + 26*c. Factor d(r).
3*r*(r - 5)/5
Let z(m) be the third derivative of -m**6/24 - 119*m**5/12 - 16775*m**4/24 + 18605*m**3/2 - 335*m**2 + m. Let z(r) = 0. Calculate r.
-61, 3
Let a be -4*1 - (-350)/(-59 + 109). Factor -3/5*p**5 + 0 + 0*p + 24/5*p**4 - 39/5*p**a + 18/5*p**2.
-3*p**2*(p - 6)*(p - 1)**2/5
Factor 41727 + 1945*f**2 + 51459 - 5*f**3 + 101469 - 6475 - 190120*f.
-5*(f - 194)**2*(f - 1)
Let k be 6/(-4) + 5*11/10. Suppose -4*t + 6*t + k = i, i = -2*t. Suppose -w + 2*w - 64*w**3 + 58*w**3 - 7*w + 20*w**i = 0. What is w?
0, 1/3, 3
Let c(w) be the first derivative of -1/6*w**6 - 92/3*w**3 - 32 + 128*w - 21/5*w**5 - 43/2*w**4 + 36*w**2. Factor c(q).
-(q - 1)*(q + 2)**3*(q + 16)
Let n = 366994/275241 - 2/91747. Find y, given that 0 + 16/9*y + n*y**3 - 8/3*y**2 - 2/9*y**4 = 0.
0, 2
Let l(u) = 3*u**3 - 262*u**2 - 13565*u - 115205. Let h(g) = g**3 - 130*g**2 - 6783*g - 57603. Let c(d) = -5*h(d) + 3*l(d). Solve c(v) = 0.
-15, 64
Let n(l) be the third derivative of -l**5/90 - l**4/6 - 5*l**3/9 - 21*l**2 - 6*l. Determine q, given that n(q) = 0.
-5, -1
Suppose -4*p = 16, 0 = -3*k - 11*p + 13*p + 11. Suppose -14*j + k + 27 = 0. Suppose -2/7 - 2/7*r**j + 4/7*r = 0. Calculate r.
1
Let k(u) be the third derivative of u**5/30 - u**4/42 - 5*u**3/21 - 411*u**2 - 4*u. Factor k(o).
2*(o - 1)*(7*o + 5)/7
Let r be 4*((-88)/16)/(-11). What is n in 11*n**2 + 5*n**3 + 25*n**r + 220*n + 13*n**2 + 176*n**2 = 0?
-44, -1, 0
Find y such that 15/4*y**3 + 31/4*y**2 + 6 - 11/4*y**4 - 1/4*y**5 - 29/2*y = 0.
-12, -2, 1
Let h = -69548 - -1043228/15. Factor 4/15*p**4 + 0 - 2/5*p**3 + 2/15*p**5 - 8/15*p**2 + h*p.
2*p*(p - 1)**2*(p + 2)**2/15
Let j be (-2 - 107/(-36) - 0) + 1926/(-8667). Find c, given that j*c**2 + 9/4*c**4 - 9/4*c**3 + 0*c + 0 - 3/4*c**5 = 0.
0, 1
Let t(o) =