)/5
Suppose -o + u = 93 - 106, -57 = -3*o + 5*u. Determine w so that 4/3 + 4*w + 4/3*w**3 + o*w**2 = 0.
-1
Let k(x) = -x**3 - 16*x**2 - 30*x - 25. Let j be k(-14). Suppose 2*d + 27*v = 32*v + 31, 0 = -j*d + 4*v + 29. Factor -1/2*y**2 + 1/4*y - 1/4*y**d + 1/2.
-(y - 1)*(y + 1)*(y + 2)/4
Let n = -511 - -513. Let p(f) be the first derivative of -7 + 6*f - 3/2*f**n - f**3. Factor p(q).
-3*(q - 1)*(q + 2)
Let i be 84/(-39)*-1*(-2)/(-4). What is m in 0 - 18/13*m**3 + 4/13*m + i*m**2 = 0?
-2/9, 0, 1
Let z(y) = 2*y - y**4 + 1 + 0*y**4 - y. Let h(r) = 12*r**4 - 36*r**3 - 33*r**2 + 45*r + 21. Let w(b) = -h(b) + 9*z(b). Solve w(g) = 0 for g.
-1, -2/7, 1, 2
Let i = 64 + -61. Let s(r) be the second derivative of 0 + 4*r + 1/4*r**4 + i*r**2 + 3/2*r**3. Factor s(k).
3*(k + 1)*(k + 2)
Suppose -16/3*d**2 - 4/3 - 16/3*d = 0. What is d?
-1/2
Let f be (-4)/(-3)*450/3000. Suppose 64/5*m**5 + 73/5*m**2 + f + 14/5*m + 176/5*m**4 + 172/5*m**3 = 0. Calculate m.
-1, -1/4
Let x(k) be the first derivative of k**6/105 - k**5/140 - k**4/42 + k**3/42 - 19*k + 6. Let f(s) be the first derivative of x(s). Factor f(v).
v*(v - 1)*(v + 1)*(2*v - 1)/7
Determine t so that -694*t**3 - 681*t**3 - 230*t**3 + 28*t - 670*t**4 - 74*t**2 + 75*t**5 - 1006*t**2 - 248*t = 0.
-1, -2/3, -2/5, 0, 11
Let k(a) be the second derivative of 7*a**6/30 + 23*a**5/20 + a**4/2 - 14*a**3/3 - 4*a**2 + 2*a + 42. Determine s so that k(s) = 0.
-2, -2/7, 1
Factor -2/3 - 10/9*j**2 - 2/9*j**3 - 14/9*j.
-2*(j + 1)**2*(j + 3)/9
Suppose -333*v = -327*v + 270. Let q be 2 + -1 + (-27)/v. Factor -i**2 - 4/5 - 1/5*i**3 - q*i.
-(i + 1)*(i + 2)**2/5
Let n(c) = -20*c**2 - c - 14. Let h(k) = -k**2 - 5 - k**2 - 5*k**2. Let x(d) = 11*h(d) - 4*n(d). Determine p so that x(p) = 0.
-1, -1/3
Suppose -3*m - 1 = -7. Suppose 2*c - y - 28 - 4 = 0, -m*c = -4*y - 32. Factor g + 3*g + 0*g**2 + 6*g**3 + c*g**2 + 4 + 10*g.
2*(g + 1)**2*(3*g + 2)
Let n = 509/2523 - 70708646/32799. Let b = n - -2157. Solve b*p**3 + 50/13*p**2 + 24/13*p - 8/13 = 0.
-2, -1, 2/9
Let d be 4117/10580 - 2/5. Let w = 363/460 - d. Factor 0 - 2/5*f**2 + 0*f - 2/5*f**4 + w*f**3.
-2*f**2*(f - 1)**2/5
Let r be ((-60)/18)/(1/((-6)/4)). Let l(h) be the third derivative of -1/40*h**4 + 0 + 0*h - 1/200*h**6 + 0*h**3 - 1/50*h**r + 2*h**2. Factor l(f).
-3*f*(f + 1)**2/5
Let d = -58 + 58. Let r(u) be the first derivative of 1/26*u**4 + 8/39*u**3 + d*u + 5 + 3/13*u**2. Factor r(l).
2*l*(l + 1)*(l + 3)/13
Factor -18/5 - 426/5*h - 278/5*h**2 - 46/5*h**3.
-2*(h + 3)**2*(23*h + 1)/5
Suppose -y = -2*b + 29, -b - 3*y = -5*b + 57. Suppose 44*a - b = 39*a. Determine c, given that 2/15*c**2 + 0 - 2/5*c**a + 4/15*c = 0.
-2/3, 0, 1
Let z(v) be the second derivative of v**6/3 - 14*v**5/5 - 2*v**4 + 160*v**3/3 + 64*v**2 - v + 136. Factor z(w).
2*(w - 4)**2*(w + 2)*(5*w + 2)
Factor -42/19*l**4 - 2/19*l**5 + 0*l - 198/19*l**3 + 0 + 242/19*l**2.
-2*l**2*(l - 1)*(l + 11)**2/19
Let v(o) be the first derivative of 0*o**2 + 0*o + 98/9*o**3 + 44/15*o**5 + 1 - 175/12*o**4 - 1/6*o**6. Factor v(s).
-s**2*(s - 7)**2*(3*s - 2)/3
Let z = 10 - 0. Let p be z/45 - (-7)/9. Factor 2 + 2 - 3*a**2 - 8 - 6*a + p.
-3*(a + 1)**2
Factor 10/3*x**2 - 16*x + 32/3.
2*(x - 4)*(5*x - 4)/3
Factor 640*t**2 - 318*t**2 - 307*t**2 - 1272 + 3174*t.
3*(t + 212)*(5*t - 2)
Let g = -261/8 + 263/8. Suppose -2*t - 2 + 1 = -3*f, 7 = -3*f + 4*t. Find d, given that 0*d + 0 - g*d**4 + 1/4*d**2 + 0*d**f = 0.
-1, 0, 1
Factor 20 - 13 - 219*g**2 + 5 - 497*g + 65*g.
-3*(g + 2)*(73*g - 2)
Let i(h) be the first derivative of -h**6/1620 + h**5/270 + h**4/36 + 2*h**3 + 14. Let m(f) be the third derivative of i(f). Suppose m(o) = 0. Calculate o.
-1, 3
Let p(j) = j**2 - 9*j - 6. Let g be p(10). Let b be 7*g*3/21. Factor 0*n**2 + 2*n**2 + 8 + n - 5*n - b*n.
2*(n - 2)**2
Suppose 16*c - 60 = 10*c. Determine h, given that 4*h + 6*h**3 - 22*h + 5*h**4 + c*h - 3*h**4 = 0.
-2, 0, 1
Let x(t) = -1 - 3*t**2 - 23*t**3 - 10*t - 1 + 17*t**3. Let f(o) = -o**3 - o**2 - o. Let u(y) = 44*f(y) - 4*x(y). Find d such that u(d) = 0.
-1, 2/5
Suppose -22*n + 24*n - 32 = 0. Suppose -40 - 4*u**2 + 24*u - n + 20 = 0. What is u?
3
Let w(x) = -4*x**5 + 28*x**4 - 62*x**3 + 34*x**2 + 64*x - 66. Let q(z) = z**3 + z**2 - 1. Let h(j) = -2*q(j) + w(j). Solve h(v) = 0 for v.
-1, 2
Let i be 5/(-2)*(-37)/(740/24). Solve -5 + 0*v**2 + 15/2*v - 5/2*v**i = 0.
-2, 1
Factor -7 - 20/3*n + 1/3*n**2.
(n - 21)*(n + 1)/3
Suppose -11*v = -7*v - 20. Suppose 4*d - 14 = -v*p, -2*d = -p - 4*d + 4. Determine x so that -3/4 + 3/4*x**p + 0*x = 0.
-1, 1
Let l(q) be the first derivative of -q**3/12 + q/4 - 65. Find c, given that l(c) = 0.
-1, 1
Let y(n) be the second derivative of n**6/6 + n**5 - 5*n**4/6 - 10*n**3 + 45*n**2/2 - 3*n - 24. Factor y(t).
5*(t - 1)**2*(t + 3)**2
Let c(x) be the third derivative of 1/4*x**4 + 3/2*x**3 - 1/20*x**5 + 0*x + 0 - 10*x**2. Determine f so that c(f) = 0.
-1, 3
Let p be 1 - (6 + -2 + 15). Let c be ((-5)/6)/(p/81). Factor 3/4 - 3*z - 3/2*z**3 + c*z**2.
-3*(z - 1)**2*(2*z - 1)/4
Let g(f) be the third derivative of -f**7/525 + 3*f**6/50 - 16*f**5/25 + 32*f**4/15 - 152*f**2. Factor g(t).
-2*t*(t - 8)**2*(t - 2)/5
Let v be (9 + 50/(-5))*0*(-1)/(-2). Suppose 0 - 18/5*f**3 + v*f - 3/5*f**4 - 27/5*f**2 = 0. What is f?
-3, 0
Factor 0*f - 2*f**2 - 9/4*f**3 - 1/4*f**4 + 0.
-f**2*(f + 1)*(f + 8)/4
Let y be (-47 + 49)*(-1)/(-5). Let c(v) be the first derivative of -3/5*v + 1/25*v**5 + 4/5*v**2 - y*v**3 + 3 + 0*v**4. Find t such that c(t) = 0.
-3, 1
Let t = 2/1223 - -6067/29352. Let v(g) be the second derivative of 0 + 0*g**2 - 1/60*g**6 + 1/10*g**5 + 3*g - t*g**4 + 1/6*g**3. Find f, given that v(f) = 0.
0, 1, 2
Let a(b) be the second derivative of -b**7/28 - b**6/3 - 9*b**5/10 + b**4/12 + 13*b**3/4 + 9*b**2/2 - 7*b + 1. Determine j, given that a(j) = 0.
-3, -1, -2/3, 1
Let d be (10/(-3))/((-5)/6). Let u(g) be the third derivative of -3/8*g**d + 7/60*g**5 + 0*g + 0 + 4*g**2 + 1/3*g**3. Solve u(q) = 0 for q.
2/7, 1
What is h in 12/5*h + 16/5 + 2/5*h**2 = 0?
-4, -2
Let g(n) be the first derivative of -n**4/6 + 16*n - 3. Let y(r) be the first derivative of g(r). Let y(p) = 0. What is p?
0
Let p(h) be the third derivative of -2*h**7/735 + 38*h**6/35 - 13222*h**5/105 + 4294*h**4/7 - 25538*h**3/21 - 67*h**2. Factor p(c).
-4*(c - 113)**2*(c - 1)**2/7
Let j(g) = -g**3 + 4*g**2 + 14*g - 4. Let q be j(6). Let v = q + -5. What is h in 0*h + 0 + 1/5*h**2 + h**v = 0?
-1/5, 0
Suppose -6*z + 3*z = -6. Factor 22*j**2 + 24*j**4 - 5*j**2 + 45*j**3 - 3*j + j**z.
3*j*(j + 1)**2*(8*j - 1)
Let m be 6/9 - (-2 - 154/(-60)). Let z(r) be the second derivative of 3/8*r**2 + 2*r + 0 - 9/16*r**4 - m*r**6 + 33/80*r**5 + 1/8*r**3. Factor z(g).
-3*(g - 1)**3*(4*g + 1)/4
Suppose 34 = -5*m + 94. Let v be (m - 3) + -3 - 3. Factor l**4 - l**3 - 7*l**3 - 5*l**2 + 7*l**3 - v*l.
l*(l - 3)*(l + 1)**2
Suppose 23*y + 3 = 15*y + 9*y. Factor 1/7*m**y + 256/7*m + 0 + 32/7*m**2.
m*(m + 16)**2/7
Let v be ((-13)/78)/((-46)/(-3)). Let p = 11/46 - v. Let -p + 1/4*o**2 + 0*o = 0. Calculate o.
-1, 1
Let r(n) be the second derivative of -1/2*n**3 - 3/2*n**2 + 26*n + 0 + 3/20*n**5 + 1/4*n**4. Factor r(g).
3*(g - 1)*(g + 1)**2
Let l(o) = 4*o**4 - 6*o**3 + 4*o**2 - 2*o + 2. Let p be ((6 - 5) + 1/(-2))*-4. Let w(u) = u**4 - u**2 + 1. Let m(i) = p*l(i) + 4*w(i). Factor m(k).
-4*k*(k - 1)**3
Let x be (0/(-1))/(317 - 316). Find p such that -2/5*p**3 - 2/5*p**4 + 2/5*p**2 + 2/5*p + x = 0.
-1, 0, 1
Let l(a) = -a**5 + 3*a**4 + 3*a**3 - 5*a**2 + 3. Let m(p) = -p**4 + p**2 - 1. Let z(v) = l(v) + 3*m(v). Determine h, given that z(h) = 0.
-2, 0, 1
Let z = -107 - -110. Let g(y) be the second derivative of 4/39*y**z - 1/78*y**4 - 4*y - 1/130*y**5 + 4/13*y**2 + 0. Solve g(j) = 0 for j.
-2, -1, 2
Let k be (-1 - 2)*(-9 + 7). Factor 14*a**2 - 77 - k*a - 5*a**2 + 77 + 15*a**3.
3*a*(a + 1)*(5*a - 2)
Determine o, given that 2/9 + 8/9*o + 10/9*o**2 + 4/9*o**3 = 0.
-1, -1/2
Let n(i) = 12*i - 10. Let c be 2 - (-10*5/10 - -6). Let q be n(c). Let -4/7*o**3 - 10/7*o**4 + 0*o**2 + 0 + 0*o + q*o**5 = 0. Calculate o.
-2/7, 0, 1
Let v(b) = 3*b**2 + 22*b - 93. Let n be v(3). Factor 20/3*j + n - 16/3*j**2 - 4/3*j**3.
-4*j*(j - 1)*(j + 5)/3
Let j = -10 - -10. Suppose -3*t - 3*c + 54 = 0, -50 = -3*t - 2*c - j*c. Determine f, given that -t*f + 2*f**2 + 13*f - 3*f