 w, -5*i - 4*o = 20. Factor i*f - f**2 + 1/2*f**3 + 0 + 1/2*f**4.
f**2*(f - 1)*(f + 2)/2
Let -l**4 + 261*l**2 + 192*l**3 + 181*l + 0*l + 3*l - 3*l**4 - 633*l**2 = 0. Calculate l.
0, 1, 46
Suppose -942 - 98 = 104*x. Let j(i) = -2*i - 17. Let v be j(x). Factor 0 - 12*r**2 - 3/4*r**4 + 21/4*r**v + 9*r.
-3*r*(r - 3)*(r - 2)**2/4
Factor -5*i**3 + 0*i + 0 - 1/4*i**4 + 0*i**2.
-i**3*(i + 20)/4
Let x(m) be the third derivative of 19/70*m**7 - 2/5*m**6 - 5/112*m**8 - 1/5*m**5 - 232*m**2 + 0 + 0*m**3 + 0*m**4 + 0*m. Factor x(f).
-3*f**2*(f - 2)**2*(5*f + 1)
Let l be (28/10 - ((-12)/(-12) + 0))/((-93)/(-248)). Let 874/5*g**3 - l + 64*g - 1102/5*g**2 - 40*g**4 = 0. What is g?
3/25, 1/4, 2
Let m = 520888/1171971 + -4/390657. Factor m*k**2 - 16/9 - 8/3*k + 2/3*k**3.
2*(k - 2)*(k + 2)*(3*k + 2)/9
Let w = -3051 - -15257/5. Let g(q) be the first derivative of 6 + 3/2*q**4 + w*q**5 - 3*q**2 - 4*q + 2/3*q**3. Factor g(v).
2*(v - 1)*(v + 1)**2*(v + 2)
Let r be (242*25/82890)/((-1)/(-3)). Let y = 1/307 + r. Factor 4/9*p**3 + 4/9 - 10/9*p + y*p**2.
2*(p - 1)*(p + 2)*(2*p - 1)/9
Let v(g) = 5*g**3 + 10*g**2 - 52*g - 66. Suppose -8*r = 35 - 11. Let n(j) = -10*j**3 - 20*j**2 + 103*j + 134. Let w(i) = r*n(i) - 7*v(i). Factor w(d).
-5*(d - 3)*(d + 1)*(d + 4)
Let m(p) be the second derivative of 1/140*p**5 - 8/21*p**4 + 289/7*p**2 + 221/42*p**3 - 53*p + 0. Determine k, given that m(k) = 0.
-2, 17
Let t(d) be the third derivative of 0 + 1/350*d**7 + 1/300*d**5 + 0*d**4 + 0*d + 5*d**2 - 1/200*d**6 + 0*d**3 - 1/1680*d**8. Find q, given that t(q) = 0.
0, 1
Let i(p) = 54*p**3 + 488*p**2 + 18*p + 2. Let z be i(-9). What is k in 4/3*k**z - 1/3*k**3 + k - 6 = 0?
-2, 3
Let u(o) be the second derivative of 1/60*o**5 - 11/18*o**3 - 19*o + 5/18*o**4 - 2 + 0*o**2. Factor u(z).
z*(z - 1)*(z + 11)/3
Let g = -153 + 169. Suppose l - 25 = 5*f, -5*f = l - f - g. Suppose 7*i**3 + 3*i**4 - 13 + 2*i**2 + l - 7 = 0. What is i?
-2, -1/3, 0
Let s(o) be the first derivative of -o**5/5 - 19*o**4/8 - 16*o**3/3 + 21*o**2/4 + 4597. Factor s(k).
-k*(k + 3)*(k + 7)*(2*k - 1)/2
Let a(r) be the third derivative of -841*r**6/420 + 377*r**5/14 + 134*r**4/7 + 16*r**3/3 + 10*r**2 + 134*r. Determine w, given that a(w) = 0.
-4/29, 7
Factor 1/4*u**3 - 191*u**2 + 36481*u + 0.
u*(u - 382)**2/4
Let x(k) = 3*k**3 + 40*k**2 - 82*k - 20. Let w be x(2). Let 6/7*i**2 + w*i**3 + 0 + 4/7*i - 2/7*i**4 = 0. Calculate i.
-1, 0, 2
Factor -36/5 - 11/5*q**2 - 72/5*q.
-(q + 6)*(11*q + 6)/5
Let j be 14/8 - 2 - 17/(-4). Let a be (-5)/(j/(0 - 4)). Factor -s**2 + a*s**5 + s**2 - 4*s**3 + 601*s**4 - 609*s**4.
s**3*(s - 2)*(5*s + 2)
Let f(j) be the second derivative of -j**6/105 - 26*j**5/35 - 725*j**4/42 - 1250*j**3/21 - 1966*j. Factor f(x).
-2*x*(x + 2)*(x + 25)**2/7
Let i be ((-14)/(-4))/(21/18). Let j(d) be the first derivative of -3/7*d**i - 3/14*d**2 + 3/28*d**4 - 1 + 3/35*d**5 + 6/7*d. Find t such that j(t) = 0.
-2, -1, 1
Let m(l) be the first derivative of l**7/735 + 3*l**6/140 + l**5/14 + l**4/12 + 15*l**2 - 106. Let t(g) be the second derivative of m(g). Solve t(b) = 0 for b.
-7, -1, 0
Suppose -2*j - 75 + 81 = 0. Let o be j*(642/90 - 7). Factor 1/5*u**2 + 1/5*u - o.
(u - 1)*(u + 2)/5
Let f be (-8 - (-12 + 2))*(-6)/(-4). Let c(r) be the first derivative of 1/4*r**4 - 17 + 0*r - 4/3*r**f + 3/2*r**2. Factor c(m).
m*(m - 3)*(m - 1)
Let x(b) = b**3 + 12*b**2 + 29*b - 34. Let y be x(-8). Let f be ((-21)/63)/((-1)/(-72)*y). Find k such that -2/5*k**2 - f*k + 14/5 = 0.
-7, 1
Let y(d) be the second derivative of d**4/20 - 7*d**3/5 - 9*d**2/2 - 310*d. Suppose y(i) = 0. What is i?
-1, 15
Factor 0 + 67/2*t**3 - 5/2*t - 167*t**2.
t*(t - 5)*(67*t + 1)/2
Let o(w) be the third derivative of w**8/896 + 23*w**7/560 + 179*w**6/320 + 553*w**5/160 + 45*w**4/4 + 81*w**3/4 - 235*w**2. Let o(c) = 0. Calculate c.
-9, -2, -1
Factor 110 - 1/4*v**2 + 47/4*v.
-(v - 55)*(v + 8)/4
Let u = 555 + -545. Determine y, given that -7*y**3 - 24*y**2 + u*y + 2*y**3 - 6*y**2 + 49 - 35*y + 11 = 0.
-4, -3, 1
Let v(f) be the first derivative of f**4/10 - 292*f**3 + 319740*f**2 - 155606800*f - 6654. Let v(c) = 0. Calculate c.
730
Let f(a) be the second derivative of a**6/10 - 3*a**5/4 - 43*a**4/4 - 67*a**3/2 - 45*a**2 + 2*a + 416. What is v in f(v) = 0?
-3, -1, 10
Let w(d) be the first derivative of -d**7/2100 + d**6/225 + d**5/75 - 4*d**4/15 - 58*d**3 - 69. Let q(f) be the third derivative of w(f). Factor q(n).
-2*(n - 4)*(n - 2)*(n + 2)/5
Let b = -502069 + 3514506/7. Factor -b*k**2 + k**3 - 4/7 + 20/7*k.
(k - 2)*(k - 1)*(7*k - 2)/7
Let g be ((-53808)/532 - -94)/(15/(-14)). Find h, given that 0*h + 0 + 5/3*h**4 - g*h**3 + 20/3*h**2 = 0.
0, 2
Suppose -5*u = -4*p - 102, -u + 33 = -0*u - 5*p. Suppose -17*r + u = -15*r. Let -r*j + 509*j**3 - 514*j**3 - j + 15*j**2 = 0. Calculate j.
0, 1, 2
Let g(y) = 26*y**2 + 36*y - 20. Let j(f) = -3*f**2 + 2*f + 2. Let s(h) = g(h) + 10*j(h). Factor s(w).
-4*w*(w - 14)
Let d be (-15)/50*6*(-40)/12. Let j(s) be the third derivative of -1/600*s**d - 1/25*s**5 + 17*s**2 + 0*s + 0 - 32/15*s**3 - 2/5*s**4. Let j(h) = 0. What is h?
-4
Suppose 7*b - 44*b + 261 - 33 = 39*b. Factor -81/2*y**5 - 2*y + 0 - 63*y**4 + 14*y**2 - 13/2*y**b.
-y*(y + 1)**2*(9*y - 2)**2/2
Let a(y) be the first derivative of -100 + 7*y**3 + 0*y - 3/5*y**5 - 3*y**4 + 15*y**2. Factor a(h).
-3*h*(h - 2)*(h + 1)*(h + 5)
Factor 59992*m - 316*m**2 - 4911*m + 176*m**2 + m**3 + 10967*m + 66564 - 375*m**2.
(m - 258)**2*(m + 1)
Suppose -7*s + 2 = -6*s. What is m in -6*m**4 - 15*m**3 - 28*m**5 - 24*m**5 + 26*m**s - 8*m**2 + 55*m**5 = 0?
-2, 0, 1, 3
Let t(w) be the first derivative of w**6/180 + 7*w**5/120 + 5*w**4/36 - 50*w - 45. Let g(z) be the first derivative of t(z). Suppose g(b) = 0. What is b?
-5, -2, 0
Let x(d) be the second derivative of -2*d**7/7 - 42*d**6/5 - 1143*d**5/20 - 80*d**4 - 75*d**3/2 + 50*d + 20. Suppose x(k) = 0. What is k?
-15, -5, -1/2, 0
Determine i, given that -891/4 + 189/4*i**2 + 729/8*i + 3/8*i**5 - 51/2*i**3 + 3/2*i**4 = 0.
-11, -2, 3
Let r(w) = 12*w**2 - 65*w + 183. Let m be r(3). Suppose -17*x + 65*x = m. Factor -3/2*h + 5/4 + 1/4*h**x.
(h - 5)*(h - 1)/4
Factor -12 + 26/3*s**2 + 2/3*s**4 + 14/3*s**3 - 2*s.
2*(s - 1)*(s + 2)*(s + 3)**2/3
Let i = -1379149/3 - -459717. Let 4/15*c**5 - 2/15 - 8/15*c - 8/15*c**2 + i*c**4 + 4/15*c**3 = 0. What is c?
-1, -1/2, 1
Factor 16854 + 212*w + 2/3*w**2.
2*(w + 159)**2/3
Suppose 28*u - 31*u = -5*r + 33, -4*r + 6 = u. Let c be (-8)/(-48)*u*6/(-9). Suppose 0*a + 0 - 8*a**4 - c*a**2 - 5*a**3 - 11/3*a**5 = 0. Calculate a.
-1, -2/11, 0
Let q(i) be the first derivative of -75*i + 0 + 75*i - 5*i**2 + i**3 - 10. Let u(d) = -6*d**2 + 19*d. Let a(p) = -7*q(p) - 4*u(p). Factor a(h).
3*h*(h - 2)
Let k(q) be the third derivative of -1/4*q**5 + q**2 + 2*q + 2/3*q**3 + 7/6*q**4 + 0. Factor k(w).
-(w - 2)*(15*w + 2)
Let q(c) be the first derivative of c**4 - 7/18*c**6 - 23 + 0*c**2 + 0*c + 0*c**3 + 17/15*c**5. Solve q(m) = 0.
-4/7, 0, 3
Suppose 108*f = 43*f - 89*f - 96 + 558. Factor 0 + 50/11*h + 2*h**f + 2/11*h**4 + 70/11*h**2.
2*h*(h + 1)*(h + 5)**2/11
Suppose -9*b - 118 + 154 = 0. Factor 6*s**2 + 3*s - 5*s + b*s - 2 - 2*s**3 + 4 - 8*s**2.
-2*(s - 1)*(s + 1)**2
Let q(z) = -z**3 - z**2 - 2. Let w(v) = -6*v**3 - 102*v**2 - 502*v + 594. Let h(g) = -4*q(g) + w(g). Let h(f) = 0. What is f?
-43, -7, 1
Factor -40 - 6138574*o**2 + 157 + 118*o + 6138575*o**2.
(o + 1)*(o + 117)
Let y(m) be the second derivative of 5*m**4/12 - 1235*m**3/6 + 615*m**2 - 1215*m. Solve y(v) = 0 for v.
1, 246
Let c(p) be the second derivative of 3*p**6/40 - 573*p**5/20 + 73343*p**4/24 - 24257*p**3/6 + 16129*p**2/8 + 1834*p. Let c(u) = 0. Calculate u.
1/3, 127
Let z(h) be the third derivative of -1/12*h**5 + 9 - 5/12*h**4 + 0*h + 0*h**3 + h**2. Factor z(t).
-5*t*(t + 2)
Let q(u) be the second derivative of u**4/3 + 52*u**3/3 + 338*u**2 - 413*u + 4. Factor q(o).
4*(o + 13)**2
Let s(q) = q - 8. Let z be s(14). Suppose 0 = -18*c + 17*c + z. Factor c*t**2 - 9*t + 16*t - 7*t + 3*t**3.
3*t**2*(t + 2)
Let z(w) be the second derivative of w**6/120 + 22*w**5/5 + 10325*w**4/16 - 44*w**3/3 - 3872*w**2 - 3*w - 62. What is s in z(s) = 0?
-176, -1, 1
Let h = -844 + 1284. Let f be (-276)/483 - h/(-182). Find m, given that -f*m - 72/13 - 2/13*m**2 = 0.
-6
Find i, given that 337