7*d**2 + j*d.
2*(d - 1)*(d + 1)/7
Let z(w) = -9*w**4 - 12*w**3 - 9*w**2 + 24*w + 3. Let m(x) = -11*x**4 - 11*x**3 - 9*x**2 + 23*x + 4. Let n(a) = -3*m(a) + 4*z(a). Find y such that n(y) = 0.
-3, 0, 1
Solve -199*u**2 + 12*u**3 + 9*u + 75*u**2 + 39*u + 21*u - 155*u**2 = 0.
0, 1/4, 23
Suppose 215/4*n + 5/4*n**2 + 105/2 = 0. What is n?
-42, -1
Let r(t) = -t**2 - 2*t + 11. Let s be r(5). Let a be (1/(-2))/(2/s). Solve a*p**2 + 7*p - 7*p - 3*p**2 = 0.
0
Let x(m) = -8*m**2 - 9*m + 2*m**2 + 5*m**2 - 8 + 4. Let b be x(-8). Solve 6/13*d**b + 0*d + 2/13*d**5 + 6/13*d**3 + 2/13*d**2 + 0 = 0 for d.
-1, 0
Let y be (5 + -4)/((28/12)/((-2)/(-3))). Factor -y*h**2 + 0*h + 2/7.
-2*(h - 1)*(h + 1)/7
Let t(o) = o**2 + 31*o + 35. Let n be t(-30). Let b(w) be the first derivative of 0*w**3 + n + 1/3*w**2 + 0*w - 1/6*w**4. Determine m so that b(m) = 0.
-1, 0, 1
Let n = 41 - 176. Let g be 30/n + (-94)/(-18). Factor -138/5*h**3 + 28*h**4 - 10*h**g - 8/5*h + 56/5*h**2 + 0.
-2*h*(h - 1)**2*(5*h - 2)**2/5
Determine b so that 11/9*b**2 - 4/9*b - 5/9 - 2/9*b**3 = 0.
-1/2, 1, 5
Let l(v) be the first derivative of 15*v**3 + 273*v**2/2 + 18*v + 372. Solve l(k) = 0 for k.
-6, -1/15
Let j(p) be the first derivative of -p**3/12 + 3*p**2 - 23*p/4 - 155. Find l such that j(l) = 0.
1, 23
Let j be (-56)/(-24) - 6/(-9). Factor -79*a**2 - a**5 + j*a**5 + 2*a**4 - 8*a**3 + 71*a**2.
2*a**2*(a - 2)*(a + 1)*(a + 2)
Factor 0*d + 1/2*d**2 + 0 - 1/4*d**3.
-d**2*(d - 2)/4
Let j = -3972 + 3976. Factor 2/9*f**3 + 0 + 0*f**2 + 0*f - 2/9*f**5 + 0*f**j.
-2*f**3*(f - 1)*(f + 1)/9
Let z(y) be the second derivative of y**4/6 + 43*y**3/15 - 18*y**2/5 - 75*y. Suppose z(a) = 0. Calculate a.
-9, 2/5
Let t(k) be the first derivative of 5*k**4/12 + 25*k**3/6 + 10*k**2 - 14*k + 9. Let g(z) be the first derivative of t(z). Suppose g(l) = 0. What is l?
-4, -1
Let j = -14 + 17. Suppose -515*w**3 - 125*w**4 + 113 - 135*w**j + 1455*w**2 - 820*w + 27 = 0. What is w?
-7, 2/5, 1
Let h(d) be the second derivative of d**4/6 - 116*d**3/3 + 3364*d**2 - 2*d + 5. Suppose h(n) = 0. Calculate n.
58
Factor -1 - 17 - 16*o**2 - 14 + 36*o + 12*o**2.
-4*(o - 8)*(o - 1)
Let s(o) be the first derivative of o**6/24 - 3*o**5/20 - o**4/16 + 11*o**3/12 - 3*o**2/2 + o + 319. Factor s(v).
(v - 2)*(v - 1)**3*(v + 2)/4
Let k(z) be the second derivative of z**5/10 - 20*z**4/3 + 531*z. Let k(m) = 0. What is m?
0, 40
Let f be ((-3)/(-2))/(14/16 - -1). Suppose 8 = 2*j + 2*j. Factor -f*u**3 - 4/5 + 4/5*u**j + 4/5*u.
-4*(u - 1)**2*(u + 1)/5
Let s(u) be the second derivative of 13*u - 3/40*u**6 + 0*u**2 + 0*u**3 - 1/16*u**4 + 1/56*u**7 + 9/80*u**5 + 0. Factor s(r).
3*r**2*(r - 1)**3/4
Let f(t) = t**3. Let i(j) = -4*j**3 - 7*j**2 - 3*j. Let y(n) = -5*n**3 - 6*n**2 - 2*n. Let p(b) = -2*i(b) + 3*y(b). Let o(q) = 18*f(q) + 2*p(q). Factor o(h).
4*h**2*(h - 2)
Let k be 1 + 8/(-6) + 14/6. Let -12*f - 82 + 12*f**4 + 3*f**3 - 30*f**k + f**5 + 106 + 2*f**5 = 0. Calculate f.
-2, 1
Factor -56*n + 1471 + 4*n**2 + 1395 - 2926.
4*(n - 15)*(n + 1)
Suppose 6*p - 8*p - 5*v - 5 = 0, 3*p + 2*v + 2 = 0. Solve -40/9*g**2 - 8/9*g + p - 14/9*g**4 - 46/9*g**3 = 0 for g.
-2, -1, -2/7, 0
Let k(z) = z**4 - z**3 - z**2 + 2*z - 1. Let t(u) = -7*u**4 + 20*u**3 - 51*u**2 + 28*u + 118. Let j(n) = 6*k(n) + t(n). Determine d, given that j(d) = 0.
-1, 4, 7
Let h = 72778/5 + -14480. Let l = h + -75. Factor -3/5*c - l*c**5 - 18/5*c**3 + 12/5*c**2 + 12/5*c**4 + 0.
-3*c*(c - 1)**4/5
Let t be (10/(-25))/((-2)/15). Determine x, given that -13*x**2 + 0*x**4 - 27*x**3 - 20*x**2 - 1127*x - t*x**4 + 3*x**5 + 1115*x = 0.
-1, 0, 4
Let x(u) be the third derivative of u**5/45 - 7*u**4/72 - u**3/9 - u**2 - 18*u. Factor x(q).
(q - 2)*(4*q + 1)/3
Let w(d) = 8*d**3 - 2*d**2 - 25*d - 12. Let s(b) = 9*b**3 - b**2 - 25*b - 11. Let m(f) = -3*s(f) + 4*w(f). Factor m(v).
5*(v - 3)*(v + 1)**2
Determine s, given that 11*s - 9*s + 53*s**2 - 8 - 2*s**3 - 45*s**2 = 0.
-1, 1, 4
Factor y**4 + 2*y**4 + 4*y**5 - 6*y**5 + 3*y**5 - 18*y**3 + 2*y**5.
3*y**3*(y - 2)*(y + 3)
Let f(j) be the first derivative of 11 + 9/8*j**4 - 9/4*j**2 - j**3 + 3*j. Factor f(o).
3*(o - 1)*(o + 1)*(3*o - 2)/2
Let p(b) = -2*b**2 + b - 2. Let k be p(-2). Let i be -1*1 - k/4. Factor -2*v**3 + v**2 + 2*v**i - 3 - v**3 + 3*v.
-3*(v - 1)**2*(v + 1)
Suppose 0 + 22/7*o**2 - 36/7*o - 2/7*o**3 = 0. Calculate o.
0, 2, 9
Let g(d) = -7*d**2 + 5*d - 2. Let r(p) = -11*p**2 + 6*p - 3. Let h(s) = -3*g(s) + 2*r(s). Solve h(w) = 0.
-3, 0
Let g(h) be the second derivative of -h**4/120 - h**3/12 - 20*h - 4. Find x such that g(x) = 0.
-5, 0
Let m(p) be the first derivative of 3/8*p**4 + 0*p**3 - 5 + 0*p**2 + 0*p - 3/20*p**5. Factor m(k).
-3*k**3*(k - 2)/4
Let r(z) = z**2 - z + 1. Let h(n) = 28*n**2 + 248*n + 4648. Let b(y) = h(y) - 24*r(y). Let b(i) = 0. What is i?
-34
Factor 9 + 2*o + 6*o - 3*o**3 - o**2 - 17*o**2 - 5*o + 9*o**2.
-3*(o - 1)*(o + 1)*(o + 3)
Let l(g) be the third derivative of -g**6/360 - 2*g**5/15 - 7*g**4/24 + 23*g**3/9 + 408*g**2. Find z such that l(z) = 0.
-23, -2, 1
Let t(c) be the second derivative of 7/3*c**4 + c**5 - 2/15*c**6 - 12*c**2 - 10/3*c**3 + 0 - 17*c. Factor t(s).
-4*(s - 6)*(s - 1)*(s + 1)**2
Let r(b) be the third derivative of -1/15*b**6 - 1/105*b**7 + 0*b**4 + 0 + 0*b + 0*b**3 + 24*b**2 - 2/15*b**5. Factor r(u).
-2*u**2*(u + 2)**2
Let m = -20/7 + 247/84. Let r(g) be the second derivative of -1/40*g**5 + m*g**4 + 0 + 6*g + 0*g**2 - 1/12*g**3. Let r(h) = 0. What is h?
0, 1
Let o(s) = s**2 + 14*s + 15. Let g be o(-15). Let z be g/1 + (16 - 16). Determine q so that 4 + z*q**4 - 8*q**3 + 4*q**5 - 51*q**4 + 25*q**4 - 8*q**2 + 4*q = 0.
-1, 1
Let t be (66/22)/((-2)/(-4)). Let r(f) be the second derivative of 0*f**3 - 7/10*f**5 + 3/4*f**6 + 0 + 1/6*f**4 - t*f + 0*f**2. Find q such that r(q) = 0.
0, 2/9, 2/5
Let k(f) be the first derivative of -49*f**6/60 + 63*f**5/20 - 109*f**4/24 + 3*f**3 - f**2 - 17*f - 20. Let x(y) be the first derivative of k(y). Factor x(s).
-(s - 1)**2*(7*s - 2)**2/2
Let i = -870 - -3481/4. Let l(b) be the first derivative of -b - 1 - b**3 - i*b**4 - 3/2*b**2. Factor l(c).
-(c + 1)**3
Let b = 3/1072 + 89/16080. Let i(d) be the third derivative of -2/3*d**3 - 1/12*d**5 - b*d**6 - 1/3*d**4 + 5*d**2 + 0*d + 0. Suppose i(a) = 0. What is a?
-2, -1
Let u be 4/(-20) + (-41)/(-5). Let s be (4 - u/6)/2. Factor 8/3*h - 2/3*h**4 - 8/3 + 2*h**2 - s*h**3.
-2*(h - 1)**2*(h + 2)**2/3
Let h(i) be the first derivative of 22*i**3/45 + 9*i**2/5 - 12*i/5 + 72. Find j, given that h(j) = 0.
-3, 6/11
Let b(u) = -4*u**3 - 10*u**2 + 54*u - 12. Let g(n) = n**3 - 2*n**2 - n + 2. Let d(i) = b(i) + 6*g(i). Determine p, given that d(p) = 0.
0, 3, 8
Let n(k) be the second derivative of -k**5/190 + k**4/114 + 4*k**3/57 - 4*k**2/19 + 2*k - 32. Factor n(i).
-2*(i - 2)*(i - 1)*(i + 2)/19
Let v(f) be the third derivative of 5*f**8/56 - 13*f**7/42 + f**6/12 + f**5 - 5*f**4/3 + 5*f**3/6 - 24*f**2. Find m such that v(m) = 0.
-1, 1/6, 1
Let q(i) be the third derivative of -1/480*i**5 + 0*i + 0 - 6*i**2 + 5/192*i**4 - 1/8*i**3. What is j in q(j) = 0?
2, 3
Let b(o) be the second derivative of o**8/448 + o**7/70 + 3*o**6/80 + o**5/20 + o**4/32 + o**2 + 12*o. Let r(v) be the first derivative of b(v). Factor r(q).
3*q*(q + 1)**4/4
Let j(s) be the second derivative of -s**5/70 - s**4/14 + 3*s**3/7 - 5*s**2/7 + s - 45. Solve j(a) = 0 for a.
-5, 1
Let f(l) be the first derivative of 1/13*l**4 + 0*l**2 - 2/65*l**5 + 2 - 2/39*l**3 + 0*l. Factor f(u).
-2*u**2*(u - 1)**2/13
Let k be 2*-21*22/(-1232). Factor -k*t**2 - 3/4*t + 0.
-3*t*(t + 1)/4
Let u(o) be the second derivative of 0*o**2 + 0 + 3/28*o**7 + 0*o**5 - 3/4*o**3 + 1/2*o**6 - 2*o - 5/4*o**4. Let u(l) = 0. What is l?
-3, -1, -1/3, 0, 1
Let b(y) = -120*y**3 - 280*y**2 - 195*y - 35. Let d(q) = 17*q**3 + 40*q**2 + 28*q + 5. Let h(z) = -3*b(z) - 20*d(z). Factor h(a).
5*(a + 1)*(2*a + 1)**2
Suppose -4*z + 16 = 2*p, -3*z + 4 = -4*p + z. Let s(j) be the first derivative of 9 - 2*j**2 + 0*j**4 - p*j**3 + 2/5*j**5 + 0*j. Factor s(k).
2*k*(k - 2)*(k + 1)**2
Factor 77*x**4 - 12*x**3 - 120*x**4 + 46*x**4.
3*x**3*(x - 4)
Solve 0 + 2/7*f**3 + 0*f - 20/7*f**2 = 0.
0, 10
Let x(b) be the first derivative of 2*b**3/33 + 89*b**2/11 - 180*b/11 + 349. Factor x(z).
2*(z - 1)*(z + 90)/11
Find j such that -61*j + 3*j**2 +