*d**r - 4 - 6*d**2.
2*(d - 1)*(d + 1)**2*(5*d + 2)
Let b(n) = -2*n**5 - 7*n**4 - n**3 + 4*n**2 - 7*n + 3. Let f(d) = 2*d**5 + 6*d**4 - 4*d**2 + 6*d - 2. Let c(z) = -4*b(z) - 5*f(z). Let c(r) = 0. What is r?
-1, 1
Let x(b) be the second derivative of 3*b**7/1960 - 11*b**6/1680 + b**5/140 - 2*b**4/3 + 5*b. Let l(d) be the third derivative of x(d). Factor l(k).
3*(k - 1)*(9*k - 2)/7
Let f = -594527/264 - -2252. Let w = 9497/1848 + f. Suppose 0*u + 0 + 6*u**4 - 16/7*u**3 + 2/7*u**2 - w*u**5 = 0. Calculate u.
0, 1/3, 1/2
Let j(m) = m**2 + m - 1. Let z(d) = -8*d**3 + 52*d**2 - 172*d + 80. Let q(n) = 24*j(n) + z(n). Let q(c) = 0. What is c?
1/2, 2, 7
Let s(a) be the third derivative of -2*a**3 - 1/4*a**4 - 1/80*a**5 + 8*a**2 + 0 + 0*a. Suppose s(b) = 0. What is b?
-4
Let h(m) be the third derivative of 1/3*m**3 + 10*m**2 - 1/30*m**5 + 0 - 1/6*m**4 + 0*m + 1/30*m**6. Determine x so that h(x) = 0.
-1, 1/2, 1
Let f(x) = 23*x**3 - 72*x**2 + 108*x. Let j(z) = -73*z**3 + 81*z**3 - 18*z**2 - 6*z**2 + 36*z. Let g(y) = -4*f(y) + 11*j(y). Determine q, given that g(q) = 0.
0, 3
Let c be -1*3/5 + 37/60. Let m(z) be the third derivative of 2*z**2 - c*z**5 + 0*z + 0*z**3 + 0 - 1/24*z**4. Factor m(l).
-l*(l + 1)
Let d be (4 + (-84)/24)*0. Factor t**2 - 1/2*t**3 + d - 1/2*t.
-t*(t - 1)**2/2
Let j(r) = 2*r + 62. Suppose -p - x = 2 + 2, -4*p + 4 = -x. Let u be j(p). Solve 48*m**2 + 15*m**4 + 69*m**3 - 20*m**2 - 24 + u*m**2 + 12*m = 0 for m.
-2, -1, 2/5
Suppose r - 2*r = -3. Let -19*j**3 + 39*j**r - 3*j**2 - 19*j**3 = 0. What is j?
0, 3
Let c(j) be the second derivative of -j**6/10 - 3*j**5/10 + 3*j**4/4 + 4*j**3 + 6*j**2 + 20*j. What is s in c(s) = 0?
-2, -1, 2
Let b = -20 + 32. Let r be (-11)/(-4) - -3*(-4)/b. Solve 0 - r*u**3 - 5/4*u**2 + 1/2*u = 0.
-1, 0, 2/7
Let v(w) = -4*w**3 + 16*w**2 - 2*w. Let y(d) = -8*d**3 + 32*d**2 - 5*d. Let a(i) = -5*v(i) + 2*y(i). Factor a(q).
4*q**2*(q - 4)
Let d(z) be the third derivative of 2/45*z**3 + 0 - 1/180*z**4 - 15*z**2 - 1/450*z**5 + 0*z. Factor d(v).
-2*(v - 1)*(v + 2)/15
Let y(s) be the second derivative of -s**8/8960 - s**7/1680 - s**6/960 + s**4/4 - s. Let f(z) be the third derivative of y(z). Determine d, given that f(d) = 0.
-1, 0
Let s(f) = -8*f - 32. Let j be s(-4). Let b(o) be the third derivative of -1/210*o**7 + j*o**4 - 5*o**2 + 0 + 0*o**3 - 1/40*o**6 - 1/30*o**5 + 0*o. Factor b(x).
-x**2*(x + 1)*(x + 2)
Let q be 2352/2520*((-3)/2 + 1). Let h = q - -19/5. Factor -35/3*o**2 - h*o**3 + 0 + 20/3*o.
-5*o*(o + 4)*(2*o - 1)/3
Let z(i) be the second derivative of i**6/30 - 11*i**5/5 + 73*i**4/2 + 506*i**3/3 + 529*i**2/2 + 89*i. Factor z(p).
(p - 23)**2*(p + 1)**2
Let k(g) be the first derivative of -2*g**3/3 + g**2 + 99. Factor k(t).
-2*t*(t - 1)
Let h(z) = -11*z - 2. Let k be h(-1). Suppose 2*l - k = -5*o + 6, -2*o = -l - 6. Factor o*w**3 - 17*w - 6*w**2 - w**3 - 2 + 23*w.
2*(w - 1)**3
Let h = -16 - -17. Let u be (9 + -8)*7*h. What is g in -8*g + 4*g**2 + u*g**2 + g**2 = 0?
0, 2/3
Let f = 32 - 25. Suppose f*r = 3*r. Let r*t**5 + 5*t - t**5 - 4*t**5 + 2*t**2 - 12*t**2 + 10*t**4 = 0. What is t?
-1, 0, 1
Let g(t) = 554*t + 3. Let s be g(-1). Let p be (-4)/((-20)/(-3)) + s/(-760). Factor p*z**2 + 0 + 1/4*z.
z*(z + 2)/8
Let r be 304/171 + 3/(27/2). Let h(u) be the second derivative of -1/20*u**5 - 1/30*u**6 - 5*u + 0 + 0*u**r + 1/12*u**4 + 1/6*u**3. Factor h(x).
-x*(x - 1)*(x + 1)**2
Let x = -6254 + 6263. Factor -x*m**2 + 54*m - 108 + 1/2*m**3.
(m - 6)**3/2
Suppose -2*f = -4*f. Let h be (-62)/(-70) - (-140)/(-490). Determine u, given that 0 + 3/5*u**3 + f*u - h*u**2 = 0.
0, 1
Let u be ((-2)/(-3))/(6/18). Let r be (5 + -4)/(u/4). Factor -2*z**3 + 2*z**2 + 0*z**3 + r - 2.
-2*z**2*(z - 1)
Let x(n) = 38*n - 32. Let f be x(1). Let b(y) be the first derivative of f + 1/24*y**4 + 1/12*y**2 - 1/9*y**3 + 0*y. Determine m so that b(m) = 0.
0, 1
What is w in 32/3*w**2 - 8/3 + 42*w = 0?
-4, 1/16
Let t(o) be the first derivative of -5*o**7/42 - o**6/2 - 3*o**5/4 - 5*o**4/12 + 2*o - 3. Let w(s) be the first derivative of t(s). Factor w(b).
-5*b**2*(b + 1)**3
Find g such that 53*g - 66 - 5*g**2 - 65 + 17*g + 11 = 0.
2, 12
Let 4*d**5 - 8*d - 8*d**4 - 4*d + d + 11*d = 0. What is d?
0, 2
Let n = 291/4 - 72. Let m(f) be the first derivative of -1/6*f**6 - 9 + 0*f + 1/5*f**5 - 1/3*f**3 - f**2 + n*f**4. Factor m(s).
-s*(s - 2)*(s - 1)*(s + 1)**2
Factor 2/11*s**5 - 640/11*s**2 + 0 + 32/11*s**4 + 800/11*s + 48/11*s**3.
2*s*(s - 2)**2*(s + 10)**2/11
Let m(q) be the third derivative of q**5/30 - 19*q**4/24 + 3*q**3/2 + 171*q**2. Factor m(v).
(v - 9)*(2*v - 1)
Let w be (-21)/(-14)*(-16)/(-6). Suppose 0*h + 8 = w*h. Determine g, given that -2*g + 2*g**3 - 4 - 8*g**4 + 4 - 2*g**h + 10*g**2 = 0.
-1, 0, 1/4, 1
Let z(v) be the first derivative of 1/5*v**3 + 1/30*v**6 + 6 + 1/20*v**4 + 0*v - 3/25*v**5 - 1/5*v**2. Solve z(i) = 0 for i.
-1, 0, 1, 2
Let c(j) = -2*j**3 + 23*j**2 + 7*j - 23. Let m(q) = -13*q - 35*q**2 + 620 - 585 + 2*q + 3*q**3. Let k(z) = 8*c(z) + 5*m(z). Determine s, given that k(s) = 0.
-1, 1, 9
Let v(k) be the third derivative of 0 - 1/16*k**6 - 5/168*k**7 + 0*k + 11/240*k**5 + 1/8*k**4 - 33*k**2 - 1/6*k**3. Factor v(n).
-(n + 1)**2*(5*n - 2)**2/4
Let i = -23/6 - -265/66. Factor -i + 2/11*q**2 + 0*q.
2*(q - 1)*(q + 1)/11
Let h(j) = j**3 - 1. Let i(k) = 3*k**3 - 8*k**2 + 16*k - 2. Let t = -17 + 23. Let l(v) = t*h(v) - 3*i(v). Factor l(w).
-3*w*(w - 4)**2
Let c be (108/8)/9*16/4. Let u(g) be the first derivative of 16/3*g - 20*g**3 + 9/2*g**4 + 216/5*g**5 + 3 - 4*g**2 + 27*g**c. Factor u(r).
2*(3*r - 1)**2*(3*r + 2)**3/3
Let z(r) be the third derivative of r**5/300 + 9*r**4/40 - 14*r**3/15 + 46*r**2. Find m, given that z(m) = 0.
-28, 1
Let l(i) be the third derivative of -10*i**2 + 1/40*i**6 + 2/175*i**7 + 0*i + 0 + 0*i**4 + 1/560*i**8 + 1/50*i**5 + 0*i**3. Determine j so that l(j) = 0.
-2, -1, 0
Let k(l) be the first derivative of l**6/27 - 4*l**5/15 + 5*l**4/18 + 32*l**3/27 - 4*l**2/3 - 32*l/9 + 57. Let k(f) = 0. What is f?
-1, 2, 4
Let p(w) be the first derivative of -2/15*w**5 + 8*w + 20/3*w**2 - 21 + 2/3*w**3 - w**4. Let p(y) = 0. Calculate y.
-6, -1, 2
Let j be (15/105)/(72/14). Let d(p) be the second derivative of -p + 1/3*p**2 + j*p**4 + 1/6*p**3 + 0. Factor d(l).
(l + 1)*(l + 2)/3
Suppose 10 - 82 = -4*g. Let b be g/4*24/18. Factor b*c**3 - 6*c**2 - 5*c + 3 + 2*c - 3*c**5 + 0*c**3 + 6*c**4 - 3*c**4.
-3*(c - 1)**3*(c + 1)**2
Let i be 2/((0 - 0) + 1) + 3. Determine p so that 17*p**5 + 3*p**3 + 80*p**4 + 83*p**i + 13*p**3 = 0.
-2/5, 0
Let p(f) be the first derivative of -3*f**4/20 + 2*f**3/5 + 39*f**2/10 + 6*f + 90. Suppose p(l) = 0. What is l?
-2, -1, 5
Let p(f) be the second derivative of -2*f**2 + 12 + 19/3*f**3 - 20/3*f**4 - 5/2*f**5 - 3*f. Determine d, given that p(d) = 0.
-2, 1/5
Let t be 1677/946 - (-9)/(-33). Solve -t*z**3 + 1/4*z**5 + 0 - 3/4*z - 2*z**2 + 0*z**4 = 0.
-1, 0, 3
Let n be (-2*7)/(-6 + -2 + 6). Factor -28 + m**3 - 3*m**2 + 10 + n + 14 - m.
(m - 3)*(m - 1)*(m + 1)
Let k(l) be the third derivative of -l**5/660 + l**4/33 - 8*l**3/33 + l**2 - 3*l. Factor k(y).
-(y - 4)**2/11
Let t(u) be the second derivative of -u**5/50 + u**4/60 + u**3/10 + 335*u. Factor t(h).
-h*(h + 1)*(2*h - 3)/5
Let r(f) be the third derivative of f**7/210 + f**6/180 - f**5/45 - f**4/36 + f**3/18 + 21*f**2. Factor r(j).
(j - 1)*(j + 1)**2*(3*j - 1)/3
Let z(w) = 16*w**2 - w - 4. Let k(r) = -4*r**2 + 1. Let v be 9*2*2/(-12). Let h = 9 + v. Let s(c) = h*z(c) + 22*k(c). Factor s(j).
2*(j - 1)*(4*j + 1)
Let w = 41 + -49. Let y be (4/w - -2)/(2/4). Factor 2/3*k**y + 0 + 0*k - 2/3*k**2.
2*k**2*(k - 1)/3
Suppose 0 = -2*i + i + 2*r + 83, -i + 5*r + 86 = 0. Let h = i - 558/7. Let -3/7*j**2 + 9/7*j**3 - h*j - 3/7 + 6/7*j**4 = 0. Calculate j.
-1, -1/2, 1
Factor 0 - 10/23*t - 12/23*t**2 - 2/23*t**3.
-2*t*(t + 1)*(t + 5)/23
Let i(u) be the first derivative of -u**3/3 + 9*u**2/2 - 18*u + 7. Find y such that i(y) = 0.
3, 6
Let t(h) be the first derivative of 35*h**4/12 - 110*h**3 - 245*h**2/2 + 290*h/3 - 24. Determine q, given that t(q) = 0.
-1, 2/7, 29
Let h = -77 + 86. Let x be (h/6)/((-7)/(-4) - 1). Factor -4/15*k**3 + 0*k + 2/15*k**x + 0 + 2/15*k**4.
2*k**2*(k - 1)**2/15
Let d(x) = 5*x**2 - 6*x + 3. Let j(g) be the second derivative of g**4/12 - 2*g. Let a 