d(g) = 11*x(g) - 4*z(g). Solve d(y) = 0.
0, 60
Let n = -138423/5 + 27685. Let t(z) be the first derivative of -2 - 8/5*z + 2/5*z**3 - n*z**4 + 4/5*z**2 + 2/25*z**5. Factor t(s).
2*(s - 2)**2*(s - 1)*(s + 1)/5
Let s(g) be the first derivative of 0*g + 2/15*g**5 - 1/3*g**4 + 0*g**3 + 0*g**2 - 9 + 1/9*g**6. Factor s(o).
2*o**3*(o - 1)*(o + 2)/3
Let c(w) be the first derivative of -w**6/72 - 3*w**5/20 + w**4/3 + 95*w**3/3 - 211. Let s(m) be the third derivative of c(m). Let s(n) = 0. Calculate n.
-4, 2/5
Let a(t) be the third derivative of t**6/360 - t**5/60 - t**4/8 - 20*t**3/3 - 5*t**2 + 4*t. Let j(y) be the first derivative of a(y). Factor j(q).
(q - 3)*(q + 1)
Let a(o) be the third derivative of o**5/20 - 741*o**4/4 - 1483*o**3/2 + 19*o**2 + 2*o + 14. Factor a(f).
3*(f - 1483)*(f + 1)
Let m(d) be the third derivative of d**5/120 - 45*d**4/16 + 67*d**3/6 - 58*d**2 - 2. Solve m(u) = 0.
1, 134
What is w in 47*w**3 + 1315*w**2 - 1555*w**2 - 110*w**3 - 3*w**4 = 0?
-16, -5, 0
Let f be (37/(3885/(-84)))/((-2)/10). Let z(m) be the second derivative of 27*m + 0 + 1/36*m**f - 5/9*m**3 + 25/6*m**2. Factor z(v).
(v - 5)**2/3
Determine w so that 128/5*w**3 - 648/5 - 4512/5*w**2 - 3438/5*w = 0.
-3/8, 36
Let g = 5440 - 5440. Let l(s) be the second derivative of -1/4*s**5 + g*s**3 + 0*s**2 + 0*s**4 + 0 + 15*s. Factor l(h).
-5*h**3
Let o(q) be the third derivative of 9*q**6/40 + 33*q**5/20 + 5*q**4 + 8*q**3 - 1520*q**2. Let o(u) = 0. What is u?
-4/3, -1
Suppose -2*z = -5*y + 2*z + 14, 2*y = -4*z. Determine n, given that -113*n**3 - 61*n**3 - 147*n**5 - 132*n**3 - 72*n - 420*n**y + 945*n**4 = 0.
-2/7, 0, 1, 6
Let v(y) be the first derivative of -y**4/6 + 150*y**3 - 37856*y**2 - 228488*y/3 - 840. Solve v(r) = 0 for r.
-1, 338
Let h(n) be the first derivative of 91*n**2 - 12*n**3 - 15*n**3 + 83*n**2 - 160 - 253*n**2 + 85*n**2. Factor h(p).
-3*p*(27*p - 4)
Let m(j) = -j**2 + 2281*j + 78713. Let l be m(-34). Factor -48/5 + 0*o**2 - 36/5*o + 3/5*o**l.
3*(o - 4)*(o + 2)**2/5
Suppose 36*z - 70*z = 25806. Let l = 763 + z. Factor -2/15 + 0*j**2 + 4/15*j - 4/15*j**3 + 2/15*j**l.
2*(j - 1)**3*(j + 1)/15
Suppose 67*f = 132*f - 11*f - 100 - 62. Suppose -21296/9 - 968/3*u - 2/9*u**f - 44/3*u**2 = 0. What is u?
-22
Let k(r) = 2*r**2 - 46*r + 44. Let m be k(22). Suppose -2*a - 13 = g - 20, -2*a + 2*g + 4 = m. Factor -1/4*y**2 + 1/2*y + 0 - 1/4*y**a.
-y*(y - 1)*(y + 2)/4
Let l(x) be the first derivative of x**5/25 + 19*x**4/4 + 93*x**3/5 + 277*x**2/10 + 92*x/5 + 1817. Determine h so that l(h) = 0.
-92, -1
Suppose 3*g = 6*g + 480. Let a = 628 + g. Factor 4*i**2 + a*i**3 - 4*i**5 + 3*i**2 + i**2 - 456*i**3.
-4*i**2*(i - 2)*(i + 1)**2
Let s(v) = 53*v + 56. Let r be s(6). Let d = r - 371. Solve -2/5*h**d + 4/5*h**2 + 0*h + 0 = 0.
0, 2
Let t(n) be the second derivative of -n**4 + 952*n**3/3 - 632*n**2 + 6377*n. Factor t(h).
-4*(h - 158)*(3*h - 2)
Let o(x) be the second derivative of 7*x**5/100 - 136*x**4/15 - 638*x**3/15 - 32*x**2 - 97*x. Suppose o(u) = 0. What is u?
-2, -2/7, 80
Suppose 3*q = 2474 + 1231. Let b be q/1197 + 2/18. Factor -b*o + 0 - 2/7*o**3 - 10/7*o**2.
-2*o*(o + 1)*(o + 4)/7
Let o(u) = u**3 - u**2 + 8*u - 34. Let v be o(0). Let x be (3/(60/(-76)))/(v/85). Factor -2 - 9/4*r**2 + x*r.
-(r - 4)*(9*r - 2)/4
Determine c so that -579/4 + 144*c + 3/4*c**2 = 0.
-193, 1
Suppose -2094/11*c - 4/11 + 2098/11*c**2 = 0. Calculate c.
-2/1049, 1
Let c(q) = -164*q + 22304. Let a be c(136). Find r such that -3/2*r**2 + a - 9/2*r = 0.
-3, 0
Suppose 19*d - c = 22*d - 4, -17 = d + 4*c. Factor 5 + 5/3*i - 5/3*i**d - 5*i**2.
-5*(i - 1)*(i + 1)*(i + 3)/3
Let o(n) = -18*n - 20*n**2 + 2 - n**3 + 0 + 16 + 4. Let l be o(-19). Factor -l*v - 101 - 119 - 37*v - 2*v**2 + 20.
-2*(v + 10)**2
Let x(t) be the third derivative of -t**8/80640 - t**7/6720 + t**5/3 + 3*t**2 + 1. Let l(w) be the third derivative of x(w). Factor l(i).
-i*(i + 3)/4
Let w(a) be the first derivative of -1/4*a**2 + 36 - 5/12*a**3 + 1/12*a**6 + 0*a + 1/4*a**5 + 0*a**4. Suppose w(i) = 0. What is i?
-2, -1, -1/2, 0, 1
Suppose -80/3*g**4 + 5/3*g**5 + 150*g**3 + 625/3*g + 0 - 1000/3*g**2 = 0. What is g?
0, 1, 5
Let j be 6180/70 + 8/(-28). Factor 36*l**2 + 39*l**4 - 16*l + 45*l**4 - 48 - j*l**4.
-4*(l - 2)**2*(l + 1)*(l + 3)
Suppose 3 = 4*p - x, 0 = 2*p + 3*x - 18 - 1. Let c(t) = 2*t**3 - 14*t**2 + 3*t - 19. Let m be c(7). What is i in m*i + 14 - 4 - 4 - 4*i**p = 0?
-1, 3/2
Let z be (-1 + -24 - -25)/(-2). Suppose -4/3*g**2 + 2*g**4 + z*g + 4/3*g**5 - 2*g**3 + 0 = 0. What is g?
-2, -1/2, 0, 1
Let y be (3 - (31 + -41)) + 100/(-8). Factor 4*m - y*m**2 - 8.
-(m - 4)**2/2
Let u(j) = -2*j**4 - 6*j**3 + 8*j**2 - 2*j - 2. Let g(a) = -8*a**4 - 23*a**3 + 31*a**2 - 9*a - 9. Let i(r) = 2*g(r) - 9*u(r). Factor i(x).
2*x**2*(x - 1)*(x + 5)
Factor 87*n**2 + 85*n**2 + 1002*n + 86*n**2 + 2016 - 261*n**2.
-3*(n - 336)*(n + 2)
Let h(s) be the third derivative of 0*s + 16/9*s**3 - 46*s**2 + 0 - 1/90*s**6 + 2/15*s**5 - 2/3*s**4. Factor h(t).
-4*(t - 2)**3/3
Let r(w) = 10*w**4 - 36*w**3 - 294*w**2 - 668*w. Let c(g) = 32*g**4 - 107*g**3 - 882*g**2 - 2001*g. Let f(s) = 6*c(s) - 19*r(s). Factor f(y).
2*y*(y + 7)**3
Solve 134/3*p**3 - 16/3*p - 28/3*p**5 + 26*p**4 + 0 + 4*p**2 = 0.
-1, -1/2, 0, 2/7, 4
Let j be -14*8/(-728) - 504/(-273). What is i in 2/7*i**j + 52/7 + 54/7*i = 0?
-26, -1
Let y = 14436/755 + 12/151. Let 3/5*m**2 + y*m + 768/5 = 0. What is m?
-16
Let l be -5*10/((-500)/110). Let z(y) be the second derivative of 2/3*y**2 + 0 + 11/9*y**3 + 1/2*y**4 + l*y. Suppose z(t) = 0. What is t?
-1, -2/9
Find b, given that -3874/11*b + 7756/11 - 2/11*b**2 = 0.
-1939, 2
Let j = 1286353/2 + -643175. Factor 3/2 - j*n**2 - 1/8*n + 1/8*n**3.
(n - 12)*(n - 1)*(n + 1)/8
Let g(d) be the first derivative of -5*d**3 + 20 + 5/4*d**4 + d**5 - 25/2*d**2 - 10*d. Let g(u) = 0. What is u?
-1, 2
Suppose 104/9*g**2 + 0 - 4/9*g**4 - 4/9*g**3 - 32/3*g = 0. What is g?
-6, 0, 1, 4
Let j be (-13)/((-429)/(-385)) - -13. Let o(g) be the second derivative of -1/10*g**5 + 0*g**2 + 0 + j*g**3 - 3*g + 1/2*g**4. Factor o(m).
-2*m*(m - 4)*(m + 1)
Let k be (-4*(-7)/14)/((-3)/33*-22) - -1. Factor -1/10*a**k - 16*a - 640.
-(a + 80)**2/10
Let j(z) be the first derivative of 2*z**5/35 - 8*z**4 + 896*z**3/3 + 801. Suppose j(x) = 0. What is x?
0, 56
Let q(g) be the first derivative of g**5/30 - g**4/18 - 2*g**3/9 - 137*g - 129. Let k(m) be the first derivative of q(m). Suppose k(l) = 0. Calculate l.
-1, 0, 2
Suppose -81*n**2 - 252 + 1/4*n**4 + 271*n + 15/4*n**3 = 0. What is n?
-28, 2, 9
Let j(d) = -3*d**3 + 7*d**2 - d - 3. Let y be j(2). Let m be 4/18 - y*301/63. Suppose -6*c**4 + 5*c**3 - m*c**3 - 3*c**4 - 4*c**2 + 12*c**3 = 0. Calculate c.
0, 2/3
Let f = -277530/17 - -16330. Factor -82/17*c + 2/17*c**3 + f*c**2 + 0.
2*c*(c - 1)*(c + 41)/17
Let g = -72 - -75. Suppose -7 = -5*r + g. Factor -4*j - 30*j**2 - 35*j**2 + 67*j**r.
2*j*(j - 2)
Let n(l) be the second derivative of -4*l**2 + 22/15*l**3 - 2*l - 7/30*l**4 - 17 + 1/100*l**5. Factor n(o).
(o - 10)*(o - 2)**2/5
Determine z so that -10/3*z**4 + 0*z - z**3 + 0*z**2 + 0 = 0.
-3/10, 0
Let o(h) = -h**3 + 8*h**2 - 6*h + 2. Let a be o(7). Let u(z) be the first derivative of a - 4/33*z**3 + 2/55*z**5 + 0*z**2 - 1/22*z**4 + 0*z. Factor u(v).
2*v**2*(v - 2)*(v + 1)/11
Let y(b) = -18*b**4 + b**3 - 19*b**2 - 8*b + 5. Let q(v) = 58*v**4 - 4*v**3 + 58*v**2 + 24*v - 16. Let a(u) = -5*q(u) - 16*y(u). Determine n so that a(n) = 0.
-1, 0, 4
Factor -780*d + 15250 + 14724 + 3*d**2 + 20726.
3*(d - 130)**2
Let l = -3474/347 - -14243/1388. Factor 9/2*h**2 + 14 - 15*h - l*h**3.
-(h - 14)*(h - 2)**2/4
Let m(k) be the first derivative of -97 + 1/4*k**6 + 0*k - 9/8*k**4 - 1/2*k**3 + 3/2*k**2 + 3/10*k**5. Suppose m(d) = 0. Calculate d.
-2, -1, 0, 1
Let f(t) = -8*t - 99. Let r be f(-15). Suppose b + r = 25. Solve -2/5*s**2 + 4/5 - 6/5*s**3 + 6/5*s - 2/5*s**b = 0.
-2, -1, 1
Let r(o) be the second derivative of -o**6/6 + 24*o**5 + 485*o**4/12 - o - 211. Let r(x) = 0. What is x?
-1, 0, 97
Let z(l) be the second derivative of 9*l**4/4 - 9*l**3/2 + 3*l**2 - 250*l - 4. Factor z(p).
3*(3*p - 2)*(3*p - 1)
Let q(l) = -45786*l**3 - 364658*l**2 + 13682*l - 126. Let u(c) = -91567*c**3 - 729317*c**2 + 27365*c - 251. Let r(a) = 5*q(a) - 2*u(a). Factor r(v).
-4*(v + 8)*(107*v - 2)**