 0 + 1/4*b**2 - 1/24*b**4 + g*b. Factor q(i).
-(i - 1)*(i + 1)/2
Let a(n) be the first derivative of -4/9*n**3 + 4/3*n**2 - 1 - 16/9*n + 1/18*n**4. Factor a(y).
2*(y - 2)**3/9
Suppose r + 5*f = 0, -8*f = -3*f + 5. Suppose -4*u - 12 = -r*d, -5*d + 2*u = u - 3. Determine q so that -4/3*q**4 - 1/3*q**3 + 0*q**2 + 0 + d*q = 0.
-1/4, 0
Let l(w) = 16*w - 32. Let c be l(2). Let r(j) be the second derivative of -3*j + 1/3*j**2 + 1/18*j**4 + c - 2/9*j**3. Suppose r(a) = 0. Calculate a.
1
Let v = -70 - -212/3. Let 2/3 - v*j - 4/3*j**2 = 0. Calculate j.
-1, 1/2
Let g(i) be the first derivative of -1/12*i**3 + 1/2*i**2 - i - 6. Factor g(j).
-(j - 2)**2/4
Let k(d) be the second derivative of -d**4/30 - 26*d**3/15 - 169*d**2/5 - 20*d + 2. Factor k(t).
-2*(t + 13)**2/5
Let m(h) be the third derivative of -h**6/320 + h**5/40 - 3*h**4/64 - 28*h**2. Factor m(i).
-3*i*(i - 3)*(i - 1)/8
Let 3/8*g + 1/2*g**2 - 1/8 = 0. What is g?
-1, 1/4
Let x(j) be the third derivative of -j**8/6720 + j**7/1260 - j**6/720 + j**4/8 - 4*j**2. Let l(g) be the second derivative of x(g). Factor l(i).
-i*(i - 1)**2
Factor 1/6*m**2 - 5/3*m + 3/2.
(m - 9)*(m - 1)/6
Let h be 0/(((-104)/28 - -4)*7). Factor -2/3*y**3 - 4/3 + 2*y + h*y**2.
-2*(y - 1)**2*(y + 2)/3
Let n(m) = 72*m**4 - 101*m**3 - m**2 + 37*m - 12. Let a(w) = -36*w**4 + 50*w**3 + w**2 - 19*w + 6. Let j(h) = -5*a(h) - 2*n(h). Solve j(i) = 0.
-2/3, 1/2, 1
Let f(n) = -n**2 - n. Let d(y) = 10*y**2 + 10*y + 15. Let p(o) = -o**2 - o - 1. Let z(k) = d(k) + 15*p(k). Let a(h) = 4*f(h) - z(h). Factor a(l).
l*(l + 1)
Let g(l) be the second derivative of l**4/6 - l**3 + 2*l**2 + 12*l. Let g(k) = 0. Calculate k.
1, 2
Let w(d) be the first derivative of d**3 + 0*d**2 + 7 + 3/2*d**4 + 3/5*d**5 + 0*d. Find p, given that w(p) = 0.
-1, 0
Let r(b) = 15*b**4 - 6*b**3 + 9*b - 9. Suppose 4*y + 36 = -0*y. Let m(d) = -7*d**4 + 3*d**3 - 4*d + 4. Let n(w) = y*m(w) - 4*r(w). Solve n(u) = 0.
0, 1
Let l(d) be the first derivative of 1/20*d**4 - 7 - 1/5*d**2 + 0*d + 1/15*d**3. Determine j so that l(j) = 0.
-2, 0, 1
Let c(y) be the first derivative of y**8/4200 - y**7/1050 + y**6/900 + y**3/3 + 3. Let n(i) be the third derivative of c(i). Factor n(h).
2*h**2*(h - 1)**2/5
Let f be ((-6)/(-18))/(1/(-33)). Let u be (f + -1)*(-1 + 0). Factor -6*b - u*b**2 - 21*b**3 - 12*b**2 - 3*b**2.
-3*b*(b + 1)*(7*b + 2)
Let q be (3 + 69/(-24))*(-8)/(-12). Let x(p) be the third derivative of -q*p**4 + 0*p**3 - 1/60*p**5 + 3*p**2 + 0*p + 0. Factor x(k).
-k*(k + 2)
Let s(j) be the first derivative of -j**9/6048 + j**8/1680 - j**7/1680 + j**3 - 3. Let u(g) be the third derivative of s(g). Find o such that u(o) = 0.
0, 1
Let z be -2 - 2/((-8)/20). Factor 2/9*x**2 + 0 - 2/9*x - 2/9*x**4 + 2/9*x**z.
-2*x*(x - 1)**2*(x + 1)/9
Let f(w) be the first derivative of -w**9/13608 - w**8/7560 + w**7/3780 + w**6/1620 - w**3 + 3. Let z(s) be the third derivative of f(s). Factor z(r).
-2*r**2*(r - 1)*(r + 1)**2/9
Let s = 16 + -78/5. Let j be (-3*(-4)/(-6))/(-1). Find g, given that -s*g**j + 0 + 2/5*g = 0.
0, 1
Let g be 1 - -1 - 700/380. Let k = 34/95 - g. Solve 0*q**2 + 0*q - k*q**3 + 0 - 1/5*q**4 = 0 for q.
-1, 0
Let s(b) = 2*b**2 - 5. Let r be s(2). Let m(c) be the first derivative of 1/6*c**6 - c**5 + 3 + 5/2*c**2 + 5/2*c**4 - 10/3*c**r - c. Let m(h) = 0. Calculate h.
1
Let i(m) be the second derivative of -5*m**4/12 + m**3/2 - 2*m. Let g(v) = 3*v**2 - 2*v. Let b(o) = 8*g(o) + 5*i(o). Suppose b(z) = 0. Calculate z.
-1, 0
Suppose -w - 15 = -5*j, 12 = -5*w + 5*j - 3. Let n(l) be the third derivative of 3*l**2 + w + 0*l - 1/120*l**5 - 1/12*l**3 + 1/24*l**4. Factor n(g).
-(g - 1)**2/2
What is g in -196/5 - 4/5*g**2 + 56/5*g = 0?
7
Let v(l) = -l**4 + 1. Let t(u) = -4*u**4 + 2*u**3 - u**2 + 3. Let f(k) = -2*t(k) + 6*v(k). What is q in f(q) = 0?
0, 1
Suppose 2 = 2*y - 4. Factor -2*n + 6*n + 2*n**y - 4*n.
2*n**3
Let j(c) be the third derivative of c**5/30 - c**4/12 - 2*c**3/3 - 8*c**2. Suppose j(l) = 0. What is l?
-1, 2
Determine l so that 28*l - 44*l**3 - 25*l**4 - 31 + 28*l**2 + 23 + 16*l**5 + 5*l**4 = 0.
-1, 1/4, 1, 2
Let a = -247/4 - -62. Let o = 1 + 2. Solve -1/4*g**o + 0*g + 0*g**2 + 0 - a*g**5 - 1/2*g**4 = 0.
-1, 0
Suppose -8 = -2*o - 2*o. Factor -2*j**3 + j**5 - 3*j**4 + 6*j**3 - j**o - j**3.
j**2*(j - 1)**3
Let z(l) be the third derivative of 2*l**5/105 - l**4/12 - 2*l**3/21 + 8*l**2. Solve z(m) = 0 for m.
-1/4, 2
Let h(u) be the second derivative of u + 2/9*u**3 + 0 + 1/3*u**2 + 1/18*u**4. Factor h(s).
2*(s + 1)**2/3
Let b be 4/8*(3 + -3)/(-1). Let 1/4*w**3 + b*w**2 - 3/4*w - 1/2 = 0. What is w?
-1, 2
Let q be (-2)/7 - 10/14. Let b be (-2)/(-4)*(1 + q). Let 0*j + 0*j**3 - 1/2*j**5 + b*j**4 + 0 + 0*j**2 = 0. What is j?
0
Suppose -25*c = -21*c - 8. Factor 0 + 1/2*g**c - 1/2*g**4 - 1/2*g**3 + 0*g + 1/2*g**5.
g**2*(g - 1)**2*(g + 1)/2
Factor 25/3*y - 5/3*y**3 + 5 + 5/3*y**2.
-5*(y - 3)*(y + 1)**2/3
Let t(y) = -4*y**2 - 2*y. Let z(n) = -n**2 - n + 1. Let g(r) = t(r) - 6*z(r). Find a, given that g(a) = 0.
-3, 1
Let j(d) be the first derivative of -4*d**6/9 - 22*d**5/5 - 16*d**4/3 + 52*d**3/9 + 12*d**2 + 14*d/3 + 26. What is y in j(y) = 0?
-7, -1, -1/4, 1
Let w(x) = -3*x**3 - 2*x**2 - 6*x - 2. Let r(q) = -4*q**3 - q**2 - 7*q - 3. Let t(b) = -2*r(b) + 3*w(b). Factor t(d).
-d*(d + 2)**2
Let i(d) be the third derivative of -d**8/10080 - d**7/2520 + d**5/30 + 3*d**2. Let s(v) be the third derivative of i(v). Determine l so that s(l) = 0.
-1, 0
Let l(c) be the second derivative of c**4/21 + 32*c**3/21 - 34*c**2/7 - 4*c + 7. Let l(f) = 0. Calculate f.
-17, 1
Let d = 385/291 + 1/97. Factor d + 2*g + 0*g**2 - 2/3*g**3.
-2*(g - 2)*(g + 1)**2/3
Let d(r) be the second derivative of r**6/40 - 3*r**4/8 - r**3 + 2*r**2 - 3*r. Let x(v) be the first derivative of d(v). Factor x(s).
3*(s - 2)*(s + 1)**2
Let 7*a - 3*a**2 - 12*a + 7*a**2 + 12 - 15*a + 4*a**3 = 0. What is a?
-3, 1
Solve 18/5*k - 1/5*k**2 - 81/5 = 0.
9
Suppose 0 = -12*f - 75 + 99. Let 8/5*t**f + 0 + 0*t + 16/5*t**3 - 2*t**4 = 0. Calculate t.
-2/5, 0, 2
Solve -2/7*z**3 + 0*z + 2/7*z**2 + 0 = 0 for z.
0, 1
Let u(s) = s**2 + 7*s + 7. Let p(v) = v**2 + 6*v + 6. Suppose 0 = -4*x - k + 21 - 2, 2*k - 6 = 0. Let g(y) = x*u(y) - 6*p(y). Factor g(j).
-2*(j + 2)**2
Let k be 6/(-4)*(-16)/(-6). Let o be k/(-22) + 7/22. Suppose 1/2*p**2 + 0 - o*p = 0. Calculate p.
0, 1
Let v(k) be the third derivative of -k**5/20 + k**4/8 + 11*k**2. Solve v(m) = 0 for m.
0, 1
Let k = -19 - -16. Let t(z) = 7*z**3 - 23*z**2 + 20*z - 7. Let g(f) = 1. Let u(j) = k*g(j) - t(j). Factor u(d).
-(d - 2)*(d - 1)*(7*d - 2)
Let o(k) = -k**2 + 8*k + 3. Let g be o(8). Determine x so that 2/7 - 2/7*x**2 + 2/7*x - 2/7*x**g = 0.
-1, 1
Let y be 2 + 0/(2/1). Let r(f) = -1 - 2*f**y + 2 - 3 + f**2. Let w(l) = -6*l**2 - 11. Let b(n) = 22*r(n) - 4*w(n). Factor b(o).
2*o**2
Find t such that 1/4 + 1/4*t - 1/4*t**3 - 1/4*t**2 = 0.
-1, 1
Let s = 11 + -7. Suppose -1 = s*b - 9. Solve 2*n - n - 3*n**2 + b*n = 0 for n.
0, 1
Let k(q) be the third derivative of -1/42*q**7 + 0 + 0*q - 2*q**2 - 1/6*q**3 + 1/336*q**8 - 1/6*q**5 + 5/24*q**4 + 1/12*q**6. Suppose k(b) = 0. What is b?
1
Let z(k) = -k**2 + 1. Let g(x) = 5*x**2 + 2*x - 3. Let p(i) = -g(i) - 3*z(i). Find y, given that p(y) = 0.
-1, 0
Let h = -111 - -4441/40. Let p(b) be the second derivative of b + 0*b**2 + 0 + 1/60*b**6 - 1/12*b**3 + h*b**5 - 1/24*b**4. Factor p(k).
k*(k - 1)*(k + 1)**2/2
Let o be (-158)/(-45) - (10 + -7). Let l = 7/5 - o. Factor 10/9*d**4 - 2/9*d**5 + 16/9*d + 0 - 4/3*d**3 - l*d**2.
-2*d*(d - 2)**3*(d + 1)/9
What is p in 2/13*p**3 - 4/13*p**2 + 2/13*p + 0 = 0?
0, 1
Let s(b) be the third derivative of -b**8/2352 + b**7/294 - 3*b**6/280 + b**5/60 - b**4/84 + 5*b**2. Factor s(p).
-p*(p - 2)*(p - 1)**3/7
Find d such that 5/3*d**3 + 4/3*d + 0 + 8/3*d**2 + 1/3*d**4 = 0.
-2, -1, 0
Factor 0 - 3/5*c**3 + 24/5*c - 6/5*c**2.
-3*c*(c - 2)*(c + 4)/5
Let u = 18 + -11. Suppose 4 = 2*k - t, -3*k + 2*t + 8 = -u*k. Solve -1 - 5*f + 3 - 7*f**2 + k*f = 0.
-1, 2/7
Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/5 - 17*v**4/4 + 19*v**3/3 - 4*v - 8. Factor g(s).
(s - 1)**3*(s + 2)*(5*s + 2)
Factor 5/3*v**2 + 320/3 - 80/3*v.
5*(v - 8)**2/3
Suppose 0*r = 5*r - 75. Suppose -r = -4*g + 5. Factor -7*j**5 + 2*j**2 - j**4 + 12*j**4 - 11*j**3 + g*j**4.
-j*