= 4*r - 122 - 14. Let y(i) = i**2 + i - 2. Let j(v) = r*y(v) + 6*l(v). Factor j(t).
-2*(t - 1)**2
Let k(g) be the first derivative of -g**2/2 + g - 6. Let t be k(-1). Find f such that 4*f**t - f**2 + 5*f**2 - 18*f - 5*f**2 + 27 = 0.
3
Let b(s) = s + 8. Let t be b(-7). Let u = 3 - t. Factor 3 - 5 - 2*f**u - 2*f**4 + 2 - 4*f**3.
-2*f**2*(f + 1)**2
Let f be ((-28)/(-6) + -2)*51/34. Let p(i) be the third derivative of 9*i**2 + 1/60*i**5 - 1/30*i**f + 0 + 0*i + 1/30*i**3 - 1/300*i**6. Factor p(m).
-(m - 1)**2*(2*m - 1)/5
Factor -3 + r**3 + 32*r + 7*r**2 + 11 - 3*r - 15*r.
(r + 1)*(r + 2)*(r + 4)
Find z, given that 1/3*z**2 - 1/3*z**3 + 8/3*z - 4 = 0.
-3, 2
Let c(o) = 2*o**2 - 101*o - 2398. Let y(l) = -3*l**2 + 102*l + 2397. Let g(j) = -4*c(j) - 3*y(j). Find q, given that g(q) = 0.
-49
Let h = 76 - 75. Let m be ((-18)/(-3) - 1)*h. Suppose 0 - a**3 + 1/4*a**2 + 0*a - 1/4*a**4 + a**m = 0. What is a?
-1, 0, 1/4, 1
Let o(u) = -u**3 + 4*u + 57. Let q be o(0). Let n be 323/q - (1 - -4). Let 1/3*s**3 - n*s**4 + s**2 - 1/3*s - 1/3 = 0. What is s?
-1, -1/2, 1
Let i(y) be the third derivative of 1/9*y**3 - 13*y**2 + 0*y + 0 - 7/72*y**4 + 1/36*y**5. Factor i(d).
(d - 1)*(5*d - 2)/3
Let g(w) be the third derivative of 0*w**7 + 3/32*w**4 + 1/448*w**8 + 0*w + 0 + 1/4*w**3 - 1/40*w**6 - 25*w**2 - 1/40*w**5. Let g(l) = 0. Calculate l.
-1, 1, 2
Let d(t) be the third derivative of -2/5*t**3 + 1/25*t**5 + 0*t - 1/100*t**6 + 0 - 2*t**2 + 1/20*t**4. Suppose d(o) = 0. Calculate o.
-1, 1, 2
Let s = -3 + 3. Suppose s = 4*i + 1 - 9. Factor 0*b**4 + 2*b**4 + 2*b**5 - b**5 - 2*b**i - b.
b*(b - 1)*(b + 1)**3
Let l(w) be the second derivative of w**7/105 + 2*w**6/15 + 4*w**5/5 + 8*w**4/3 + 16*w**3/3 + 32*w**2/5 - 725*w. Factor l(q).
2*(q + 2)**5/5
Let y(d) be the first derivative of -d**6/105 + 3*d**5/70 - d**4/21 - 8*d - 2. Let i(w) be the first derivative of y(w). Solve i(z) = 0.
0, 1, 2
Suppose 2*q - 29 = 23. Let j be (39/q)/((-1)/(-2)). Factor 0*k - 1/2*k**2 + 9/2*k**5 - 3/2*k**4 + 0 - 5/2*k**j.
k**2*(k - 1)*(3*k + 1)**2/2
Let p(a) be the second derivative of a**6/120 + a**5/16 + a**4/12 + 390*a. Suppose p(y) = 0. What is y?
-4, -1, 0
Suppose -46*v**3 - 61*v**3 - 3*v**3 + 128*v**2 + 134*v - 14*v + 16*v + 6*v**4 = 0. Calculate v.
-2/3, 0, 2, 17
Factor 0*g + 0 + 1/7*g**4 + 2*g**3 + 7*g**2.
g**2*(g + 7)**2/7
Let f(j) = j**3 + 4*j**2 + 2*j - 1. Let c be f(-2). Let m(d) = d - 1. Let l be m(4). Solve -2*y**c + y**4 + y**3 + l*y**3 + 4*y**2 - 3*y**2 = 0 for y.
-1, 0
Suppose -2*a = 4*m - 6, -3 = -0*m - 3*m - 2*a. Factor -b**4 + 4*b**m - 3*b**4 - 2*b**4 + 4*b**4 - 2*b**2.
-2*b**2*(b - 1)**2
Let p = 395 + -392. Let y(w) be the first derivative of -6 - 3/4*w**4 + 0*w + 2/3*w**6 - 1/2*w**2 + 4/3*w**p - 4/5*w**5. Factor y(b).
b*(b - 1)*(b + 1)*(2*b - 1)**2
Factor -6/5*c**5 + 2/5*c**4 + 0*c**2 + 0*c + 0 + 0*c**3.
-2*c**4*(3*c - 1)/5
Let m(a) be the second derivative of a**7/84 - a**6/3 - a**5/40 + 5*a**4/6 + 29*a + 2. Suppose m(i) = 0. What is i?
-1, 0, 1, 20
Let n(w) be the first derivative of 8*w**4 - 112*w**3/3 + 65*w**2 - 50*w - 89. Find a such that n(a) = 0.
1, 5/4
Let v be -1*1/(-10)*0. Let r(s) be the second derivative of v + 1/12*s**7 + 1/2*s**5 + 13/30*s**6 - 3*s - 1/3*s**4 + 0*s**3 + 0*s**2. Factor r(z).
z**2*(z + 2)**2*(7*z - 2)/2
Suppose 45*j**2 - 20*j**2 - 10*j**4 - 20 + 5*j**4 = 0. Calculate j.
-2, -1, 1, 2
Suppose -5*o - 3*f + 42 = 0, -5*o + 3*f = -62 + 14. Suppose 11 = o*x - 25. Factor 2*w**4 + 2/5 + 2/5*w**5 + 4*w**3 + 2*w + x*w**2.
2*(w + 1)**5/5
Let y(u) be the second derivative of u**5/100 - u**4/20 - 4*u**3/5 - 35*u**2/2 - 6*u. Let h(v) be the first derivative of y(v). Suppose h(n) = 0. Calculate n.
-2, 4
Suppose 5*j + 2*j = 0. Suppose j = -15*c + 8 + 22. Suppose -4/7*n + 0 + 4/7*n**c = 0. Calculate n.
0, 1
Let s = 2816/279 - 306/31. Solve 2/3*v + s*v**2 + 4/9 = 0 for v.
-2, -1
Factor -158*j**2 - 2*j**5 + 498*j**2 - 188*j**3 - 46*j**4 + 348*j**2 + 338 + 172*j**2 - 962*j.
-2*(j - 1)**3*(j + 13)**2
Determine j, given that -17/2 - 19/2*j**2 - 1/2*j**3 - 35/2*j = 0.
-17, -1
Solve 660 + 689 + 130*g - 8*g - 7*g + 9*g**2 - 1375 = 0.
-13, 2/9
Let m(j) be the first derivative of 1/13*j**2 - 4 + 0*j - 2/39*j**3. Suppose m(x) = 0. What is x?
0, 1
Let q = 401 - 397. Let b(o) be the third derivative of 0*o - 1/15*o**5 - 1/3*o**6 - 8*o**2 + 17/6*o**4 + 0 - q*o**3. Factor b(g).
-4*(g - 1)*(2*g + 3)*(5*g - 2)
Let i(j) be the first derivative of j**4/12 + 2*j**3 - 31. Let i(w) = 0. What is w?
-18, 0
Let q(z) = -4*z**2 - 10*z + 12. Let k(n) = -15*n**2 - 29*n + 37. Let c(x) = -2*k(x) + 7*q(x). Find u, given that c(u) = 0.
1, 5
Let g(v) be the first derivative of v**7/4620 + v**6/990 + v**5/660 - 8*v**3 - 6. Let w(c) be the third derivative of g(c). Determine h so that w(h) = 0.
-1, 0
Let j = -2 + 5. Suppose -3*i**2 - i**4 - 19*i**j + 0*i**4 - i + 16*i**3 = 0. Calculate i.
-1, 0
Let d(k) = -k**2 + 3*k - 2. Let v be d(3). Let a be 1 + 9/(-6)*v. Factor 11*h + a*h**3 - 3*h**3 - 12*h.
h*(h - 1)*(h + 1)
Let t(m) be the second derivative of -m**6/2 + 21*m**5/5 - 43*m**4/4 + 4*m**3 + 18*m**2 + m + 160. Find j, given that t(j) = 0.
-2/5, 1, 2, 3
Let v(i) be the third derivative of i**7/3360 + i**6/288 + i**5/60 + i**4/24 + 3*i**3 - 29*i**2. Let u(k) be the first derivative of v(k). Factor u(j).
(j + 1)*(j + 2)**2/4
Solve -340*x**2 - 210*x**3 - 30 + 2*x**4 - 750*x**5 + 8*x**4 + 785*x**5 - 185*x = 0 for x.
-1, -2/7, 3
Let g be (-80)/(-24)*(-2 - 32/(-10)). Let b = 8 - g. Suppose -11/4*o - 6*o**2 - 7/2*o**b - 13/2*o**3 - 3/4*o**5 - 1/2 = 0. Calculate o.
-1, -2/3
Let s = 35 + -26. Determine h so that s*h + 2*h**3 + 13 - 10 + 9*h**2 + h**3 = 0.
-1
Suppose 3*c + 5*l - 9 = 0, 2*l - 5 = c + 3. Let k be ((-5)/(-15))/(((-4)/c)/12). Factor -4/9*o + 0 + 2/9*o**3 - 2/9*o**k.
2*o*(o - 2)*(o + 1)/9
Let m(o) be the third derivative of 0*o + 0*o**3 - 6*o**2 + 0 + 1/210*o**5 - 1/42*o**4. Find c such that m(c) = 0.
0, 2
Let t(w) be the third derivative of w**5/75 + 2*w**4/15 + 9*w**2 - 3. Factor t(s).
4*s*(s + 4)/5
Factor -3363 - 36*s + 6*s - 14*s**2 + 0*s + 3345 - 2*s**3.
-2*(s + 1)*(s + 3)**2
Let 8*r**5 + 8*r**5 - 12*r**3 + 14*r**2 - 12*r**5 - 6*r**2 = 0. What is r?
-2, 0, 1
Let h(p) be the third derivative of 47*p**5/12 - 5*p**4/3 + 4*p**2 - 136*p. Factor h(r).
5*r*(47*r - 8)
Let a = -344 + 348. Suppose 0 = -2*n + 3*t - 8, 2*n + 5*t = 5*n + 14. What is h in 6*h**3 + 20*h**a - 6*h**n - 22*h**4 + 3*h - h = 0?
0, 1
Let n(o) be the third derivative of -1/12*o**4 + 0*o + 4*o**2 + 0 + 4/3*o**3 + 1/30*o**5. Let q(t) = 3*t**2 - 3*t + 9. Let g(w) = 5*n(w) - 4*q(w). Factor g(m).
-2*(m - 2)*(m + 1)
Let n(q) be the first derivative of -q**6/21 + 4*q**5/7 - 33*q**4/14 + 80*q**3/21 - 16*q**2/7 - 85. Factor n(h).
-2*h*(h - 4)**2*(h - 1)**2/7
Let r(s) be the third derivative of -s**6/120 - s**5/15 + 3*s**2 + s. Factor r(k).
-k**2*(k + 4)
Let i(x) be the first derivative of -x**6/3 + 8*x**5 - 39*x**4 - 440*x**3/3 - 121*x**2 + 320. What is t in i(t) = 0?
-1, 0, 11
Suppose 4*u + 0 = 12, 5*u - 25 = -5*s. Let 9*m**4 - 6*m**4 - m**3 - 3*m**s + 6*m - 5*m**3 = 0. Calculate m.
-1, 0, 1, 2
Let x(o) be the third derivative of -5/12*o**4 + 0 - 1/30*o**5 + 0*o + 2*o**3 + 6*o**2. Find r, given that x(r) = 0.
-6, 1
Suppose -15*d = -2*d - 39. What is r in 47*r**2 - 18*r**2 - 26*r**2 - r**d - 2*r = 0?
0, 1, 2
Let x = -23 - -28. Let z be 5/(-15) + 10/3. Factor 4*v**2 - x*v**4 - 4*v**3 + 8*v**z + v**4 + 0*v**3 - 4*v.
-4*v*(v - 1)**2*(v + 1)
Suppose -2*j - 2*j + 5*f = -49, f = 5*j - 35. Let s be 26/j - 15/45 - 2. Determine a so that 2/7*a**s + 2/7 - 4/7*a = 0.
1
Find r such that 0*r**2 - 2/23*r**4 + 0 - 4/23*r**3 + 0*r = 0.
-2, 0
Factor -3*a - 4 - 1/2*a**2.
-(a + 2)*(a + 4)/2
Let d(i) = i**2 + i - 1. Let h(m) = -2*m**5 + 2*m**4 + 4*m**3 + 6*m**2 + 8*m - 8. Let j(x) = -x + 1. Let s be j(0). Let p(c) = s*h(c) - 10*d(c). Factor p(l).
-2*(l - 1)**3*(l + 1)**2
Suppose 0 = 29*f - 25*f + 4*s - 28, -29 = -2*f - 5*s. Solve -4/15*c - 2/15*c**f + 0 = 0 for c.
-2, 0
Let -2/3*b**3 - 28/3*b + 10*b**2 + 0 = 0. Calculate b.
0, 1, 14
Factor -3*k**3 + 7*k - k**3 - 3*k**2 + 36 + 17*k + k**3.
-3*(k - 3)*(k + 2)**2
Let d(b) = -4*b**2 - 28*b + 96. Let h(u) = 7*u**2 + 28*u - 95. Let g(t) = 3*d(t) + 2*h(t). Factor g(y).
2*(y - 7)**2
Factor -16*f + 142*f**4 + 0*f + 