(r + 3)
Let u(p) = -p**2 - p. Let n(q) = 5*q**2 + 160*q + 320. Let w(j) = n(j) + 10*u(j). Suppose w(l) = 0. What is l?
-2, 32
Let i(z) be the first derivative of z**6/2 - 48*z**5/5 + 21*z**4 + 2*z**3 - 87*z**2/2 + 42*z - 106. Suppose i(o) = 0. What is o?
-1, 1, 14
Let g(p) be the third derivative of p**7/280 - 3*p**6/160 - p**5/5 - 3*p**4/8 + p**2 + 200*p. Determine m so that g(m) = 0.
-2, -1, 0, 6
Let a(i) be the third derivative of -35*i + 0 - 5/3*i**3 + 0*i**5 + 1/24*i**6 + 2*i**2 - 5/8*i**4. Find p such that a(p) = 0.
-1, 2
Let p be -5 + (-3 - (-69)/21 - 18441/(-3591)). Factor 2/19*z**3 + 4/19*z**2 - 14/19*z + p.
2*(z - 1)**2*(z + 4)/19
Factor -36/7*c**3 + 3/7*c**4 + 90/7*c**2 - 12*c + 27/7.
3*(c - 9)*(c - 1)**3/7
Find y, given that 3/2*y**4 + 11*y + 9/2*y**2 - 17*y**3 + 0 = 0.
-2/3, 0, 1, 11
Suppose -20*l**2 + 54*l + 7 - 80*l**3 + 65 + 78*l**3 = 0. Calculate l.
-12, -1, 3
Let l(p) be the third derivative of -2/5*p**5 + 0 - 1/8*p**6 - 2*p**2 + 0*p - 1/2*p**4 - 1/70*p**7 + 0*p**3. Find g such that l(g) = 0.
-2, -1, 0
Let w = 131 - 64. Let g = 739/11 - w. Find a, given that 8/11*a**2 + 2/11*a + 0 + g*a**5 + 12/11*a**3 + 8/11*a**4 = 0.
-1, 0
Suppose 2*s = -s. Suppose -2*p - 2 = s, -2*w = -3*w + 3*p + 6. Factor 2*m**2 + 4*m**w - 3*m**3 + 5*m**3 - 4*m**3.
2*m**2*(m + 1)
Let z(a) be the first derivative of a**7/1050 - a**5/300 - 9*a**2 - 6. Let g(r) be the second derivative of z(r). Factor g(t).
t**2*(t - 1)*(t + 1)/5
Let x(g) be the second derivative of g**7/7560 - g**5/360 - g**4/6 + 4*g. Let q(u) be the third derivative of x(u). Factor q(b).
(b - 1)*(b + 1)/3
Let s(b) be the third derivative of 2*b**7/105 + 11*b**6/10 + 253*b**5/15 - 119*b**4/2 - 1156*b**3/3 + 6*b**2 + 10*b. Let s(c) = 0. What is c?
-17, -1, 2
Let y(d) be the third derivative of 4*d**7/1785 - d**6/255 - 3*d**5/170 + d**4/204 + 2*d**3/51 - 25*d**2. Suppose y(s) = 0. What is s?
-1, -1/2, 1/2, 2
Suppose 0 = 19*l - 402 + 364. Factor l*w**2 - 4/3*w**3 - 4/3*w + 1/3*w**4 + 1/3.
(w - 1)**4/3
Let p(t) = -100*t**2 - 203*t - 20. Let s(g) = 102*g**2 + 204*g + 21. Let u(b) = 3*p(b) + 2*s(b). Suppose u(l) = 0. Calculate l.
-2, -3/32
Let d(b) be the third derivative of b**5/3 - 115*b**4/24 + 25*b**3/2 + 208*b**2 - 1. Determine t, given that d(t) = 0.
3/4, 5
Let z = 73 - 70. Let r(k) = -k**3 + 3*k**2 + 3*k - 7. Let s be r(z). Factor 2/3*v**s + 0*v + 0 + 1/3*v**3.
v**2*(v + 2)/3
Let r(f) be the first derivative of -3*f**4/28 - f**3/7 + 6*f**2/7 + 12*f/7 + 165. Factor r(x).
-3*(x - 2)*(x + 1)*(x + 2)/7
Let j(h) be the first derivative of 9*h**7/70 + 3*h**6/10 + h**5/5 - 7*h**2/2 - 5. Let l(z) be the second derivative of j(z). Find b, given that l(b) = 0.
-2/3, 0
Let o(m) be the first derivative of m**4/6 - 8*m**3/3 - m**2/3 + 8*m - 511. Factor o(g).
2*(g - 12)*(g - 1)*(g + 1)/3
Let s be (3 - (-2 + 1))*(-4)/(-616)*11. Determine t so that s*t**3 + 0 - 2/7*t**2 - 2/7*t**5 + 0*t + 2/7*t**4 = 0.
-1, 0, 1
Let c(n) be the first derivative of -n**4/12 + n**3/6 + n**2 + 18*n + 12. Let v(b) be the first derivative of c(b). Factor v(w).
-(w - 2)*(w + 1)
Let h(a) = -39*a**3 - 123*a**2 - 108*a. Let p(i) = 11*i**3 + 35*i**2 + 31*i. Let s(g) = 5*h(g) + 18*p(g). Factor s(x).
3*x*(x + 2)*(x + 3)
Let d(x) be the third derivative of -x**8/4200 - x**7/1050 + 23*x**3/6 + 7*x**2. Let p(c) be the first derivative of d(c). Factor p(z).
-2*z**3*(z + 2)/5
Let u(h) be the second derivative of h**7/42 - 11*h**6/10 + 41*h**5/2 - 1225*h**4/6 + 2375*h**3/2 - 8125*h**2/2 - 664*h. Factor u(t).
(t - 13)*(t - 5)**4
Let z(l) be the first derivative of l**8/3360 + l**7/420 + l**6/144 + l**5/120 + 2*l**3/3 + 9. Let k(t) be the third derivative of z(t). Factor k(q).
q*(q + 1)**2*(q + 2)/2
Let l(p) = p**4 - 4*p**3 - 4*p**2 + 14*p - 12. Let o(b) = -b**2 + b. Let f(d) = l(d) - 2*o(d). Let u(t) be the first derivative of f(t). Factor u(s).
4*(s - 3)*(s - 1)*(s + 1)
Suppose 3 = 2*n - 3*z - 0, 1 = n - 2*z. Factor i**5 + 4*i**2 + 15*i**n - 17*i**3 + i**5 - 4*i**4.
2*i**2*(i - 2)*(i - 1)*(i + 1)
Suppose -5*m + 440 = 5*t, -2*t + 3*m = -233 + 47. Let l = -268/3 + t. Factor 2/3*v**4 + 0 + 0*v - l*v**3 + 0*v**2.
2*v**3*(v - 1)/3
Suppose -3*n = r - 46, -2*r - 2*n = -111 + 23. Let q = -43 + r. Find c such that q*c**3 - 1/7*c**4 + 0*c + 2/7*c**5 + 0 + 0*c**2 = 0.
0, 1/2
Let g = 43/2 - 20. Suppose -14*x - 48 + 76 = 0. Let g*s + 1 + 1/2*s**x = 0. Calculate s.
-2, -1
Let l(i) be the third derivative of -i**8/120960 + i**7/3360 - i**6/540 - i**5/5 + 32*i**2. Let t(o) be the third derivative of l(o). Find c such that t(c) = 0.
1, 8
Let j(h) be the second derivative of h**7/2520 - h**6/720 - 3*h**4/2 + 4*h. Let x(p) be the third derivative of j(p). Find m such that x(m) = 0.
0, 1
Let w(s) = 13*s**4 - 32*s**3 + 16*s**2 + 37*s - 24. Let y(c) = -6*c**4 + 16*c**3 - 8*c**2 - 18*c + 12. Let b(m) = 2*w(m) + 5*y(m). Solve b(f) = 0.
-1, 1, 3
Let d(l) be the first derivative of -2/9*l**3 - 2/45*l**5 + 0*l - 1/9*l**2 - 1/6*l**4 - 12. Let d(b) = 0. What is b?
-1, 0
Let a(m) = 5*m**2 + 65*m. Let q(y) = 55*y**2 + 715*y. Let f(v) = -65*a(v) + 6*q(v). Let f(h) = 0. What is h?
-13, 0
Let w be (-7)/(2996/(-472))*2/11. Let b = -2/107 + w. Let -2/11*d**2 - 4/11*d**3 - b*d**4 + 0 + 0*d = 0. What is d?
-1, 0
Let a(s) be the third derivative of -640*s**5/9 - 40*s**4/9 - s**3/9 - s**2 - 82. Factor a(u).
-2*(80*u + 1)**2/3
Suppose 0 = 6*o + 15 - 27. Let 0*u**2 - 3*u**3 - 92*u + 14*u**o + 7*u**2 + 44*u + 36 = 0. Calculate u.
2, 3
Let o(s) = -1 + 6*s**2 - 4*s + 176*s**3 + 0 - 182*s**3. Let t(h) = -h**3 + h**2 - h. Let f(l) = -2*o(l) + 10*t(l). Find u such that f(u) = 0.
-1, 1
Let n(u) be the first derivative of 0*u + 1/21*u**3 - 14 + 3/7*u**2. Find h such that n(h) = 0.
-6, 0
Let r(f) be the second derivative of -f**4/6 - 68*f**3 - 10404*f**2 - 268*f - 2. Find p, given that r(p) = 0.
-102
Let q(d) be the second derivative of -3*d**5/250 - 14*d**4/75 - 11*d**3/15 + 2*d**2 - 88*d. Factor q(o).
-2*(o + 5)**2*(3*o - 2)/25
Let p(w) = -w + 36. Let v be p(11). Let g = v + -21. Factor 0 + 2/7*f**g - 6/7*f**3 + 4/7*f**2 + 0*f.
2*f**2*(f - 2)*(f - 1)/7
Solve 267*t**2 + 20*t - 66*t + 24 - 133*t**2 - 138*t**2 = 0 for t.
-12, 1/2
Let w be (-48)/84 + (-536)/(-105). Let j = 26/5 - w. Suppose 2/9*m + 2/9*m**4 + 2/3*m**3 + j*m**2 + 0 = 0. Calculate m.
-1, 0
Suppose -h + 15*y - 13*y + 10 = 0, 3*h - 5*y - 25 = 0. Determine f, given that 2/21*f**2 + 2/21*f**3 - 4/21*f + h = 0.
-2, 0, 1
Let j(w) = -w**2 + 6*w - 9. Let y be j(5). Let g be (7/(-14) - (-6)/y) + 2. Factor -2/7*d + g + 2/7*d**2.
2*d*(d - 1)/7
Let f(r) = r**2 - r + 24. Let z be f(0). Factor z*u**3 + 12*u**3 - 4*u**4 - 32*u - 60*u**2 - 4*u**3 + 64.
-4*(u - 4)**2*(u - 1)*(u + 1)
Let n(b) be the second derivative of -b**5/15 - b**4/3 + 2*b**3 - 39*b**2/2 - 2*b - 23. Let v(f) be the first derivative of n(f). What is j in v(j) = 0?
-3, 1
Let w(p) = -294*p - 4114. Let y be w(-14). Find z such that 0 + 0*z - y*z**4 + 0*z**3 + 8/7*z**2 + 6/7*z**5 = 0.
-2/3, 0, 1, 2
Let s be (-12)/(-22) + 27/(-18) + 554/396. What is l in -s*l**3 + 0 + 0*l - 2/9*l**4 + 0*l**2 = 0?
-2, 0
Let a = 1973/1729 + 3/1729. Suppose -8/7 - a*t + 6/7*t**2 + 2/7*t**4 + 8/7*t**3 = 0. Calculate t.
-2, -1, 1
Let l = 157 - 154. Solve 3 - 9*o - 2*o**l + 0*o - o**3 + 9*o**2 + 0*o = 0 for o.
1
Suppose -4*q - 5*z + 1155 = -1673, -4*q + 2868 = -5*z. Factor -600*f**2 - 755 + 28*f + 1260*f - 1745 + q*f + 80*f**3 - 4*f**4.
-4*(f - 5)**4
Let s be 1*-3 + 29/(-20). Let z = -21/5 - s. Factor -k - k**3 + 3/2*k**2 + z + 1/4*k**4.
(k - 1)**4/4
Let o(b) be the second derivative of -3/10*b**5 + 0*b**3 + 0*b**2 - 1/4*b**4 + 0 + 2*b. Factor o(n).
-3*n**2*(2*n + 1)
Let z be -2 - (30/(-25))/((-2)/(-10)). Suppose -2*d - 6 = d + 3*o, d - z*o = 8. Factor 0 + 0*l**2 + d*l + 2/3*l**4 + 2/3*l**3.
2*l**3*(l + 1)/3
Let n(p) be the third derivative of p**7/126 - 17*p**6/360 + p**5/30 + 5*p**4/18 - 4*p**3/9 + 283*p**2. Factor n(z).
(z - 2)**2*(z + 1)*(5*z - 2)/3
Let c(b) be the first derivative of b**6/1980 + b**5/165 + b**4/44 + 2*b**3 + 5. Let r(y) be the third derivative of c(y). Factor r(m).
2*(m + 1)*(m + 3)/11
Let r(x) be the third derivative of -x**6/60 - 4*x**5/15 + x**4/12 + 8*x**3/3 + 2*x**2 - 271. Factor r(j).
-2*(j - 1)*(j + 1)*(j + 8)
Let u(c) be the third derivative of -c**8/784 - c**7/98 - c