r be 28/(-6)*2550/(-425). Let y(b) be the first derivative of 40*b**2 - r*b**3 + 10 - 20*b**4 - 16/5*b**5 + 100*b. What is f in y(f) = 0?
-5/2, -1, 1
Let f(k) be the second derivative of -k**4/3 + 150*k**3 - 448*k**2 - 401*k. Factor f(v).
-4*(v - 224)*(v - 1)
Find g, given that -21 - 286/9*g**3 - 82*g**2 - 87*g - 1/3*g**5 - 49/9*g**4 = 0.
-7, -3, -1/3
Let y(s) be the third derivative of -s**5/60 + 11*s**4/12 + 28*s**3 + 778*s**2 + s. Factor y(l).
-(l - 28)*(l + 6)
Let k(j) be the first derivative of 0*j**2 + 22/3*j**3 + 2/5*j**5 - 32 + 6*j**4 + 0*j. Let k(s) = 0. Calculate s.
-11, -1, 0
Let u(f) be the third derivative of -f**6/360 + 7*f**5/120 - f**4/4 - 20*f**3 - 31*f**2. Let y(v) be the first derivative of u(v). Factor y(t).
-(t - 6)*(t - 1)
Let y(k) be the second derivative of 62/3*k**3 - 61*k**2 + 8/3*k**4 + 0 - 48*k. Let g(j) = 11*j**2 + 42*j - 41. Let r(i) = -17*g(i) + 6*y(i). Factor r(l).
5*(l - 1)*(l + 7)
Let m be -1 - 3 - 0/(-48). Let b be (m/(-7))/(76/(-56) - -2). Let -4/3*w**2 + b*w + 8/9*w**3 - 2/9 - 2/9*w**4 = 0. Calculate w.
1
Let l(h) be the first derivative of h**6/5 + 8*h**5/25 - 47*h**4/10 - 56*h**3/15 + 28*h**2 + 96*h/5 - 2388. Solve l(w) = 0.
-4, -2, -1/3, 2, 3
Suppose -4*x + 146 = -110. Find f, given that 4*f**5 - 32 - 3*f**2 - 5*f**2 + x*f**3 - 8*f**4 + 48*f**4 + 24*f - 92*f = 0.
-8, -1, 1
Let i(g) = -4*g**3 + 16*g**2 - 13*g - 6. Let z be i(2). Determine v, given that -1/2*v**3 + z + 0*v**2 + 0*v + 1/8*v**4 = 0.
0, 4
Factor 64/9*x**2 + 0*x + 2/9*x**5 + 0 + 68/9*x**4 + 130/9*x**3.
2*x**2*(x + 1)**2*(x + 32)/9
Suppose -3*l = -3, 4*d - 25 = -12*l + 7*l. Let x(h) be the second derivative of 0*h**2 + 0 + 10*h + 1/20*h**d + 0*h**3 - 1/12*h**4. Factor x(o).
o**2*(o - 1)
Let n(u) be the first derivative of u**4/10 + 52*u**3/15 - 17*u**2 + 116*u/5 - 1081. Factor n(v).
2*(v - 2)*(v - 1)*(v + 29)/5
Suppose 45*y + 8*y - 328 = -10. Let c(d) be the third derivative of 0*d**3 + 0 + 1/120*d**y + 1/20*d**5 + 48*d**2 + 0*d + 1/12*d**4. Let c(w) = 0. What is w?
-2, -1, 0
Let n(i) = 2*i**2 - 23*i + 3. Let m(k) = 12 + 2*k**2 - 16*k - 8 - 6*k. Let s(q) = -3*m(q) + 4*n(q). Factor s(c).
2*c*(c - 13)
Let q(y) be the first derivative of -y**6/14 + 132*y**5/35 - 591*y**4/14 - 208*y**3 - 4647*y**2/14 - 228*y - 8115. What is l in q(l) = 0?
-1, 19, 28
Let b be 10 - 13 - (-9 - 221/(-39)). Factor 14/3 - 3*u + b*u**2.
(u - 7)*(u - 2)/3
Let t be 11 + (2176/(-255) - 10/(100/18)). Find l, given that 8/9*l**5 + 14/9*l**2 + 0 + 10/9*l**4 + t*l - 38/9*l**3 = 0.
-3, -1/4, 0, 1
Determine n, given that 376/3*n - 82*n**2 - 2/3*n**4 + 56/3*n**3 - 184/3 = 0.
1, 2, 23
Suppose -5*c + 2 = -28. Factor -c*w**2 - 15*w + 0*w**2 - 17*w + 2*w**2.
-4*w*(w + 8)
Let f(k) be the first derivative of -147 - 1/3*k**3 - 196*k + 14*k**2. Factor f(y).
-(y - 14)**2
Let d(a) be the third derivative of 0*a**4 + 64/3*a**5 + 1/42*a**7 + 0 - 4/3*a**6 - 124*a**2 + 0*a + 0*a**3. Factor d(x).
5*x**2*(x - 16)**2
Let d(m) be the third derivative of -m**9/15120 + m**8/1260 - m**7/315 - 41*m**5/60 + 22*m**2. Let c(f) be the third derivative of d(f). Factor c(l).
-4*l*(l - 2)**2
Let o(n) be the third derivative of -n**6/30 + 7*n**5 - 68*n**4 + 808*n**3/3 + 975*n**2. Factor o(z).
-4*(z - 101)*(z - 2)**2
Let f(n) = -3*n**4 - n**3 + n**2 + n. Let t(k) = -16*k**4 + 36*k**3 + 288*k**2 + 244*k. Let m(l) = -4*f(l) + t(l). Let m(j) = 0. What is j?
-4, -1, 0, 15
Factor -2*o**3 + 280*o**5 - 6*o**2 - 110*o**5 + 6*o**4 - 168*o**5.
2*o**2*(o - 1)*(o + 1)*(o + 3)
Let j(r) be the first derivative of 39*r**2 - 36*r + 3 + 12/5*r**5 - 1/3*r**6 - 40/3*r**3 - 3*r**4. Determine p so that j(p) = 0.
-2, 1, 3
Let o be (-6)/24*(-1590)/36 - 10. Let h(i) be the third derivative of 1/12*i**5 + 0*i + 0 - 5*i**3 - 7*i**2 + o*i**4. Factor h(x).
5*(x - 1)*(x + 6)
Let c(k) be the first derivative of 16/65*k**5 + 0*k - 8/39*k**3 - 15/26*k**4 - 1/39*k**6 + 20/13*k**2 + 12. Solve c(o) = 0.
-1, 0, 2, 5
Let v = -20 + 235. Suppose -7*x - 180 = -v. Suppose 9/4*l**x + 0*l + 0 + 33/4*l**4 + 3/4*l**2 + 19/4*l**3 = 0. What is l?
-3, -1/3, 0
Let n(p) = p**3 + 8*p**2 + 3*p. Let r(m) = 2*m**3 + 8*m**2 + 4*m. Let u = -12 - 6. Let v = -15 - u. Let t(h) = v*r(h) - 4*n(h). Determine i so that t(i) = 0.
0, 4
Let c = -3716 + 3716. Let i(s) be the third derivative of -8*s**2 + 0 + 0*s**4 + 0*s**3 + 1/480*s**6 + c*s + 1/240*s**5. Factor i(j).
j**2*(j + 1)/4
Let a(r) be the first derivative of -r**3/3 - 7*r**2/2 + 3*r + 10. Let k be a(-7). Factor 5*v + 8 - v - k*v**2 - 2*v**2 + v**2.
-4*(v - 2)*(v + 1)
Let l(z) be the third derivative of -z**6/480 - 41*z**5/120 - 1681*z**4/96 + 147*z**2 - 3. Find w, given that l(w) = 0.
-41, 0
Let a(g) be the second derivative of -g**7/210 - 43*g**6/150 - 27*g**5/10 - 167*g**4/15 - 364*g**3/15 - 144*g**2/5 + 1383*g. Solve a(c) = 0 for c.
-36, -2, -1
Suppose 53*p + 13 = 40*p. Let x be 84/231*p/(-2). Solve -x*k**3 - 8/11*k**2 + 0*k + 0 = 0.
-4, 0
Let h(x) = -29*x**2 + 715*x - 4619. Let r(a) = -9*a**2 + 250*a - 1540. Let t(l) = -4*h(l) + 13*r(l). Suppose t(w) = 0. Calculate w.
4, 386
Let s(b) be the first derivative of 1/12*b**3 - 52 - 13/4*b**2 + 169/4*b. What is x in s(x) = 0?
13
Let n(s) be the first derivative of 0*s**3 + 14 - 1/24*s**4 + 0*s**2 - 11*s - 1/40*s**5. Let q(x) be the first derivative of n(x). Suppose q(v) = 0. What is v?
-1, 0
Factor 7452/11 + 840/11*x**2 + 4986/11*x + 2/11*x**3.
2*(x + 3)**2*(x + 414)/11
Let -65*w**2 + 70 - 116 - 210 - 96*w + 65*w**2 + 2*w**3 = 0. Calculate w.
-4, 8
Let u(t) be the second derivative of 7*t**4/12 + 139*t**3/60 - t**2/10 - 1992*t. Find r, given that u(r) = 0.
-2, 1/70
Suppose 3*y = 5*y + 8, 5*y = 4*o + 100. Let u be (12/(-8))/(o/9 - -3). Suppose 3/4*s**2 + u*s + 0 = 0. What is s?
-6, 0
Let h = 250 + -246. Factor 12*v**3 + 12*v + 5*v**h - 22*v**2 - 9*v**4 - v**4 + 3*v**4.
-2*v*(v - 3)*(v - 2)*(v - 1)
Suppose 15 = -3*o, 5*o - 69 = -4*n + 58. Let 6*m**5 + 104*m**2 + n*m**3 - 52 - 46*m**3 - 52*m**4 - 2*m**5 + 4*m = 0. What is m?
-1, 1, 13
Let r = 62 - -1151. Let y = 1214 - r. Suppose y + 1/7*d**2 - 8/7*d = 0. Calculate d.
1, 7
Let o be 84/(-56) - 20/(25/(-5)). Let j(r) be the second derivative of 1/6*r**6 + o*r**2 + r**5 + 10/3*r**3 - 9*r + 5/2*r**4 + 0. Factor j(w).
5*(w + 1)**4
Find i such that -456*i + 43 - 4*i**5 - 111*i**4 - 60*i**3 + 133 + 550*i**2 - 95 = 0.
-27, -3, 1/4, 1
Suppose -5*m**4 + 8*m**2 - 98*m**2 - 2480*m - 145*m**3 + 10*m**2 - 459*m**2 - 1600 - 481*m**2 = 0. What is m?
-20, -4, -1
Suppose -6*d + 52 = -2*d. Let b be (-8)/(1 + 0 + -3). Factor -5*w**2 - 20*w**4 + 25*w**3 - 13*w**4 + d*w**b.
-5*w**2*(w - 1)*(4*w - 1)
Let x(w) = -6*w - 52. Let q be x(-10). Let j be 1426/26 - 8/(-52). Factor -19 - 13*b - 5 - q*b**3 - 44*b**2 - j*b.
-4*(b + 2)*(b + 3)*(2*b + 1)
Let i(j) be the first derivative of 3/10*j**4 + 9/5*j - 3/5*j**2 - 1/25*j**5 - 110 - 8/15*j**3. Factor i(v).
-(v - 3)**2*(v - 1)*(v + 1)/5
Factor 31475540432/11 + 15036/11*h**2 + 37680216/11*h + 2/11*h**3.
2*(h + 2506)**3/11
Let m = -81/20 + 17/4. Factor -4/5 - n - m*n**2.
-(n + 1)*(n + 4)/5
Let m(i) be the third derivative of i**5/20 + 91*i**4/8 - 141*i**3 - 1794*i**2. Factor m(n).
3*(n - 3)*(n + 94)
Let l(c) be the third derivative of c**7/420 - c**6/72 + c**5/90 + c**4/18 + 377*c**2. Factor l(w).
w*(w - 2)**2*(3*w + 2)/6
Let p(t) be the second derivative of -1/195*t**6 + 0 + 0*t**2 + 0*t**4 + 30*t - 3/130*t**5 + 4/39*t**3. Suppose p(j) = 0. Calculate j.
-2, 0, 1
Let r = 33191/100 + -8054/25. Factor -3/4*v**2 - 21/2*v - r.
-3*(v + 1)*(v + 13)/4
Suppose 37*y + 250*y = 1435. Let s(r) be the second derivative of 0 + 1/2*r**y - 1/6*r**6 - 15/2*r**2 - 5/3*r**3 + 5/3*r**4 - 11*r. Factor s(f).
-5*(f - 3)*(f - 1)*(f + 1)**2
Let k(n) = -7*n**2 + 2*n. Let g(i) = -34*i**2 - 1206*i + 369664. Let o(w) = -g(w) + 5*k(w). Factor o(v).
-(v - 608)**2
Let z = -482696/7 - -68961. Find n such that -1/7*n**3 - 2*n**2 + z*n - 16/7 = 0.
-16, 1
Suppose 3*c = 15, -61*c + 57*c + 62225 = 5*w. Let g be 15730/w + 4/58. Factor 8/9*h**3 + 0 - 4/9*h**4 + 0*h + g*h**2.
-4*h**2*(h - 3)*(h + 1)/9
Let a(f) = -16 - 134*f + 65*f + 75*f. Let g be a(3). Let 20*y + 2*y**2 + 16 + 3*y**2 - y**g = 0. What is y?
-4, -1
Suppose -2228/13*g**2 - 298/13*g**4 + 1818/13*g**3 + 8/13*g**5 - 3392/13*g + 960/13 = 0. What is g?
-1, 1/4, 4, 30
Factor -89704