r d(g).
-2*g*(g - 1)*(g + 1)*(g + 2)/7
Let h = -2259/7 - -11351/35. Factor -16/5*s**2 - 8/5*s**3 + h*s + 4/5*s**4 + 12/5.
4*(s - 3)*(s - 1)*(s + 1)**2/5
Let z = -104 - -130. What is w in 27 + 2*w**3 - 6*w**2 + 53*w**4 - 52*w**4 + 8*w - 6*w**2 - z*w = 0?
-3, 1, 3
Factor -116*r - 99*r - 2*r**2 + 23*r - 5000 - 8*r.
-2*(r + 50)**2
Let w(y) be the third derivative of y**7/315 - y**6/30 + 13*y**5/90 - y**4/3 + 4*y**3/9 - 120*y**2. Factor w(l).
2*(l - 2)**2*(l - 1)**2/3
Let o(w) be the second derivative of w**5/30 - 5*w**4/18 + 329*w. Factor o(p).
2*p**2*(p - 5)/3
Let a = 152 - 150. Let i = 59/10 + -27/5. Factor 5/4*m - m**a - i + 1/4*m**3.
(m - 2)*(m - 1)**2/4
Let k(t) be the third derivative of 0*t + 1/210*t**5 - 21*t**2 + 1/42*t**4 + 0 + 1/21*t**3. Factor k(l).
2*(l + 1)**2/7
Factor 3 + 1/6*q**3 - 25/6*q + q**2.
(q - 2)*(q - 1)*(q + 9)/6
Factor -10031*b + 12 + 218*b**2 + 19794*b - 10421*b.
2*(b - 3)*(109*b - 2)
Let v(y) be the second derivative of y**5/50 - 4*y**4/15 + 4*y**3/3 - 16*y**2/5 - 38*y. Factor v(k).
2*(k - 4)*(k - 2)**2/5
Let x(h) be the third derivative of h**7/2520 - h**6/720 - 19*h**4/24 + 9*h**2. Let u(z) be the second derivative of x(z). Factor u(s).
s*(s - 1)
Let k(l) = -l**2 + l - 1. Let r = 1 + 0. Suppose 4 = 7*u - 31. Let g(j) = j**3 + 6*j**2 - 5*j + 5. Let m(n) = r*g(n) + u*k(n). Suppose m(c) = 0. Calculate c.
-1, 0
Let l(c) = 2*c**3 + c**2. Let i be l(1). Factor 3*g - g**5 - 67*g**3 - i*g**2 + 3*g**4 + 65*g**3 - 1 + g**2.
-(g - 1)**4*(g + 1)
Let b be 2*((-15)/6 - -2). Let i be (-81)/45 - (-2)/(-1)*b. Find a, given that 1/5 + 1/5*a**4 + 2/5*a**3 - i*a**5 - 2/5*a**2 - 1/5*a = 0.
-1, 1
Let 6/11*k**4 + 0 - 12/11*k**2 + 14/11*k**3 + 0*k = 0. Calculate k.
-3, 0, 2/3
Let f(k) be the second derivative of 12*k + 0 + 1/50*k**5 + 0*k**4 + 0*k**3 + 0*k**2. Determine j so that f(j) = 0.
0
Let n(q) be the first derivative of -21*q**5/20 - 4*q**4 - 11*q**3/2 - 3*q**2 - q - 10. Let y(b) be the first derivative of n(b). What is h in y(h) = 0?
-1, -2/7
Let t be ((-2)/6)/((-3)/45). Suppose -d + 2*g + 19 = 5*g, -t*g + 25 = 0. Factor -d*c**2 - 4 + 2 - 10 - 25*c + 9*c.
-4*(c + 1)*(c + 3)
Suppose -29976*s**4 + 29973*s**4 - 9 - 6*s**3 + 24*s**3 - 36*s**2 + 30*s = 0. Calculate s.
1, 3
Let f = -11442 - -11445. Factor 0*w + 4/9*w**f - 2/9*w**2 - 2/9*w**4 + 0.
-2*w**2*(w - 1)**2/9
Suppose 207 = 111*r - 126. Determine z, given that 3/8*z - 9/4 + 9/4*z**2 - 3/8*z**r = 0.
-1, 1, 6
Let j(n) = -3*n**3 - 6*n**2 + 2. Let x(i) = i**3 - i**2 - 1. Suppose 2*q + 10 = -3*q. Let k(g) = q*x(g) - j(g). Determine u so that k(u) = 0.
-8, 0
Let a(r) = 5*r**4 + 26*r**3 + 13*r**2 - 8*r. Let q(f) = -f**3 - f**2. Let k(s) = a(s) + 3*q(s). Factor k(c).
c*(c + 1)*(c + 4)*(5*c - 2)
Let p(j) be the first derivative of -j**6/180 + j**5/12 + j**4/2 + 6*j**3 + 30. Let c(r) be the third derivative of p(r). Factor c(i).
-2*(i - 6)*(i + 1)
Let o = 18513/28 - 660. Let g = o + 15/28. Suppose -g + 27/7*j - 18/7*j**2 + 3/7*j**3 = 0. Calculate j.
1, 4
Let j(t) be the second derivative of -t**6/120 - t**5/16 - t**4/8 + t**3/6 + t**2 - t + 21. Suppose j(u) = 0. Calculate u.
-2, 1
Let r(f) = 156*f**2 + 6*f. Let i(s) = -22*s**2 - s. Let t(d) = 20*i(d) + 3*r(d). Factor t(b).
2*b*(14*b - 1)
Let r(x) = 7*x**2 - 12*x + 15. Let b(g) = -g**2 - 1. Suppose -2 = 26*s - 24*s. Let d(p) = s*r(p) - 5*b(p). Find i such that d(i) = 0.
1, 5
Factor -33/2*d**2 - 24 - 39*d - 3/2*d**3.
-3*(d + 1)*(d + 2)*(d + 8)/2
Let r(l) be the second derivative of -l**6/960 + l**5/80 - 3*l**4/64 - 3*l**3 - 16*l. Let b(k) be the second derivative of r(k). Factor b(w).
-3*(w - 3)*(w - 1)/8
Find l such that -20/9*l - 2/9*l**2 + 0 = 0.
-10, 0
Let l = -262 - -264. Let y(a) be the second derivative of 1/3*a**4 - 5/6*a**3 - a + a**l - 1/20*a**5 + 0. Factor y(p).
-(p - 2)*(p - 1)**2
Let q(v) be the first derivative of -22 - 2/3*v**3 - 5/18*v**4 - 4/9*v - 2/45*v**5 - 7/9*v**2. Find i, given that q(i) = 0.
-2, -1
Let c = -60151/4 - -15124. Let r = c - 86. Factor 0 + r*f**2 - 1/2*f.
f*(f - 2)/4
Let q(i) be the first derivative of i**5/10 - 13*i**4/8 - 7*i**3/3 + 4. Let q(s) = 0. Calculate s.
-1, 0, 14
Let r(j) = -j**2 - 24*j + 3. Let m(o) = 2*o. Suppose -4 = 19*n - 17*n. Let u(l) = n*r(l) - 22*m(l). Find y such that u(y) = 0.
-3, 1
Let b(s) be the first derivative of -7 + 0*s + 5/22*s**4 - 2/55*s**5 + 3/11*s**2 - 14/33*s**3. Find m such that b(m) = 0.
0, 1, 3
Let v be ((-6405)/(-1464))/(10/(-8))*1/(-2). Find s, given that -1/4*s**3 + 1/4*s + 13/4*s**2 - 3/2 - v*s**4 = 0.
-1, 6/7, 1
Suppose 0 = -3*b - 2*c + 66, 3*b + c - 46 = 17. Factor -1572 - b*k + 1572 + 4*k**2.
4*k*(k - 5)
Let j(u) be the first derivative of 14/13*u**2 - 98/13*u - 2/39*u**3 - 25. Find y, given that j(y) = 0.
7
Determine y so that -6*y**4 + 51*y**3 + 4*y**3 - 14*y**4 + 32*y - 80*y**2 + 2*y**5 + 11*y**3 = 0.
0, 1, 4
Let o(a) = -3*a**5 + 5*a**4 - 7*a**3 + a**2 + 12*a - 6. Let t(h) = 13*h**5 - 20*h**4 + 28*h**3 - 5*h**2 - 50*h + 25. Let s(u) = -9*o(u) - 2*t(u). Factor s(m).
(m - 2)**2*(m - 1)**2*(m + 1)
Let j be (-1)/8 + 95/(-38)*40/(-288). Solve j*i**3 + 0*i + 0*i**2 + 0 = 0.
0
Let g(x) be the third derivative of -x**7/420 - x**6/180 + x**5/60 + x**4/12 - x**3 + 9*x**2. Let n(l) be the first derivative of g(l). What is f in n(f) = 0?
-1, 1
Let n(f) be the second derivative of f**8/13440 + 11*f**4/12 + 15*f. Let x(c) be the third derivative of n(c). Factor x(i).
i**3/2
Let q(y) be the third derivative of y**7/420 + 11*y**6/720 + y**5/48 - y**4/24 + 5*y**3/6 - y**2. Let v(x) be the first derivative of q(x). Factor v(h).
(h + 1)*(h + 2)*(4*h - 1)/2
Let a(q) = 132*q + 711. Let x(l) = 53*l + 284. Let s(p) = 5*a(p) - 12*x(p). Let z be s(-6). Factor -1/2*m**z + 0 - 1/2*m**2 - 1/6*m - 1/6*m**4.
-m*(m + 1)**3/6
Suppose 23*f = 21*f. Suppose f + 1/4*t + 1/4*t**2 = 0. What is t?
-1, 0
Suppose -34*n + 44*n = 0. Let q(t) be the first derivative of n*t + 0*t**3 + 1 + 1/14*t**2 - 1/28*t**4. Factor q(p).
-p*(p - 1)*(p + 1)/7
Let c = -220 + 224. Let k(o) be the second derivative of 0 - 4/3*o**3 + 1/3*o**c - 3*o + 2*o**2. Factor k(x).
4*(x - 1)**2
Let b(c) be the third derivative of -2*c**7/315 - c**6/90 + 4*c**5/45 + 2*c**4/9 - 55*c**2. Determine x, given that b(x) = 0.
-2, -1, 0, 2
Let l(g) be the third derivative of -5*g**8/504 + 8*g**7/35 - 443*g**6/450 - 164*g**5/25 - 1681*g**4/180 + 296*g**2 + g. Determine b so that l(b) = 0.
-1, 0, 41/5
Solve 4 + 68*v**2 - 4 - 2*v + 8*v - 67*v**2 = 0 for v.
-6, 0
Let d be (-60)/105 + (-28)/(-49). Solve 0*v**3 + 1/3*v**4 + d + 0*v**2 + 0*v = 0 for v.
0
Let p(b) be the second derivative of -b**4/6 - 47*b**3/3 + 48*b**2 - 7*b + 6. Suppose p(f) = 0. Calculate f.
-48, 1
Solve -615*h**4 + 38*h**5 + 7*h**5 - 22*h**2 - 43*h**2 + 306*h**3 + 89*h**3 = 0 for h.
0, 1/3, 13
Let y(f) be the first derivative of 0*f - 23 + 2/5*f**2 + 7/10*f**4 - 6/5*f**3. Find k, given that y(k) = 0.
0, 2/7, 1
Let x be 6*2/8 + 1/2. Factor -166 + 2*f**2 + 170 - 4*f**3 + 4*f - 6*f**x.
-4*(f - 1)*(f + 1)**2
Let t = -44554 + 267329/6. Determine p so that -1/6*p**2 + t - 2/3*p = 0.
-5, 1
Let b(j) = 2*j**2 - 14*j - 30. Let n(z) = 5*z**2 - 25*z - 60. Let x(d) = 5*b(d) - 3*n(d). Factor x(c).
-5*(c - 3)*(c + 2)
Let s = 30 + -28. Factor -2*g**s + 2 - 1 - 3*g**3 + 1 + g + 2*g**3.
-(g - 1)*(g + 1)*(g + 2)
Suppose 80*g + 50 = 190 + 20. Suppose -1/6*w**g - 1/2*w - 1/3 = 0. Calculate w.
-2, -1
Let c(d) = d**3 + 8*d**2 - 2*d - 11. Let i be c(-8). Suppose 2*f - 2*s - s = 10, -5*s = i*f. Factor 0 - 1/4*u**f + 1/2*u.
-u*(u - 2)/4
Let b(x) = -18*x + 182. Let v be b(10). Let j(d) be the second derivative of 0*d**4 + 1/20*d**5 + 0 + 0*d**v + 6*d - 1/6*d**3. Factor j(z).
z*(z - 1)*(z + 1)
Suppose -10 = 5*w - 7*w. Suppose -w*m**2 - 6*m - 153 + 103 + 61*m = 0. What is m?
1, 10
Let g(p) be the third derivative of -9*p**8/112 + p**7/14 + 97*p**6/180 + 19*p**5/45 + p**4/9 + 345*p**2. Solve g(u) = 0 for u.
-1, -2/9, 0, 2
Let i = 99 + -97. Let d(y) be the first derivative of 1 + 1/6*y**3 - 3/2*y + 1/2*y**i. Factor d(v).
(v - 1)*(v + 3)/2
Solve n**2 - 3*n**2 - 4*n**3 + 218*n**4 - 121*n**4 - 99*n**4 = 0.
-1, 0
Find l, given that 7/5*l**2 + l**3 + 3/5*l + 1/5*l**4 + 0 = 0.
-3, -1, 0
Factor 195/8*y**3 - 135/2*y + 1/4*y**5 + 135/4*y**2 - 81 + 35/8*y**4.
(y + 1)*(y + 6)**3*(2*y - 3)/8
Let z(y) be the second deri