= -2*v + 24 - 6. Factor -b - 3*b - 12*b**2 - v*b**u + b.
-3*b*(b + 1)*(3*b + 1)
Let l(q) be the third derivative of -1/2352*q**8 + 1/245*q**7 - 1/42*q**4 - 6*q**2 + 0*q - 13/840*q**6 + 1/35*q**5 + 0*q**3 + 0. Factor l(h).
-h*(h - 2)**2*(h - 1)**2/7
Let j(n) be the first derivative of -n**5/5 - n**4/3 + 2*n**3/3 + 2*n**2 - 24*n + 3. Let s(g) be the first derivative of j(g). Solve s(y) = 0 for y.
-1, 1
Let y(h) be the third derivative of 17/120*h**5 - 7/48*h**6 + 0*h + 0 - 1/24*h**4 - 5*h**2 + 0*h**3. Find v such that y(v) = 0.
0, 1/5, 2/7
Let s(n) be the third derivative of -n**8/252 + 22*n**7/315 - 4*n**6/15 - 5*n**2 - 20*n. Factor s(z).
-4*z**3*(z - 8)*(z - 3)/3
Let x(s) be the third derivative of 7*s**6/120 + 9*s**5/40 + s**4/4 + 2*s**3/3 + 7*s**2. Let k(r) be the first derivative of x(r). Factor k(g).
3*(g + 1)*(7*g + 2)
Let x(b) = 2*b**2 + 7*b + 2. Let q be x(-4). Let f be (5/(50/(-24)))/(4 - q). Determine w so that 4/5 - 16/5*w**2 + f*w**3 + 6/5*w = 0.
-1/3, 1, 2
Let l be (5/(-105))/(6/90*-5). Find x, given that l*x**2 - 1/7*x - 2/7 = 0.
-1, 2
Let j(c) be the first derivative of -c**4/6 + 38*c**3/9 - 35*c**2/3 + 34*c/3 + 289. Find a, given that j(a) = 0.
1, 17
Factor -3*k**2 - 7/2*k + 0 + 1/2*k**3.
k*(k - 7)*(k + 1)/2
Let d(r) = 3*r**3 - r**2 - r + 1. Let l be d(1). Let a be (-2)/(6*(-10)/120). Find w, given that 1/6*w**5 + 1/6*w**a + 0 + 0*w**l + 0*w + 0*w**3 = 0.
-1, 0
Let u(x) be the third derivative of -x**7/630 - x**6/18 - 5*x**5/6 - 5*x**4/12 + 11*x**2. Let j(h) be the second derivative of u(h). Let j(n) = 0. Calculate n.
-5
Let n be 1/7*931/532. Let 0 + 1/4*c**2 - n*c = 0. What is c?
0, 1
Suppose 16*l**2 - 15*l - 42*l - 195 + 7*l - 11*l**2 = 0. Calculate l.
-3, 13
Let v(p) = 4*p**4 - 6*p**3 - 18*p**2 - 14*p - 3. Let c(b) = b**4 - b**3 - b**2 + b + 1. Let r(k) = 3*c(k) - v(k). Find f, given that r(f) = 0.
-1, 6
Let v(w) be the first derivative of 2*w**5/45 + 5*w**4/9 - 8*w**3/27 - 154*w**2/9 + 98*w/3 - 368. Factor v(p).
2*(p - 3)*(p - 1)*(p + 7)**2/9
Let a be (-90)/120 + 41/44. Suppose 2 = -2*s - v - 1, -2*s = 3*v + 9. Find z such that s*z + 0 - 4/11*z**3 + a*z**2 + 2/11*z**4 = 0.
0, 1
Let y(c) be the first derivative of 2*c**5/75 - c**4/15 + 2*c**3/45 - 27. Factor y(z).
2*z**2*(z - 1)**2/15
Let l(j) be the second derivative of -j**9/3402 + j**8/840 - j**7/630 + j**6/1620 - 3*j**3 - 14*j. Let o(p) be the second derivative of l(p). Factor o(v).
-2*v**2*(v - 1)**2*(4*v - 1)/9
Let m(v) be the first derivative of 55*v**4/14 - 16*v**3/3 + v**2/7 - 58. Factor m(q).
2*q*(q - 1)*(55*q - 1)/7
Suppose 4*m - 2*l = -m, 0 = 3*m - 4*l. Suppose -1/2*z**4 + m - z**2 + 3/2*z**3 + 0*z = 0. Calculate z.
0, 1, 2
Factor 1/5*n - 1/5*n**2 + 4.
-(n - 5)*(n + 4)/5
Let g(c) be the second derivative of -c**4/4 - 9*c**3 + 351*c. Suppose g(w) = 0. Calculate w.
-18, 0
Let k(t) be the third derivative of -t**5/100 + t**4/20 - t**3/10 - 35*t**2. Solve k(a) = 0.
1
Let p(q) be the first derivative of -41 + 4/15*q**3 - 8/5*q - 2/5*q**2. Factor p(c).
4*(c - 2)*(c + 1)/5
Let p(q) = 15*q**4 + 45*q**3 + 204*q**2 + 306*q + 138. Let n(d) = -2*d**4 + d**3 - d + 1. Let r(a) = 6*n(a) + p(a). Determine t so that r(t) = 0.
-12, -2, -1
Suppose -24 = 9*k - 51. Suppose -2/13*n**k + 0 + 4/13*n + 2/13*n**2 = 0. What is n?
-1, 0, 2
Let y(w) = w**2 + 11*w + 12. Let j be y(-10). Find i, given that 10*i**j - 6*i**2 - 9*i**2 + 5 = 0.
-1, 1
Let a(t) = -t**3 + t**2 + 135. Let u be a(0). Let p be (-43)/(-15) - (-18)/u. Suppose -2*r**3 + r**3 - 9 - 9*r + p + 4*r**3 = 0. What is r?
-1, 2
Let f(w) be the third derivative of -w**5/80 + 7*w**4/32 + 15*w**3/4 + 32*w**2. Factor f(z).
-3*(z - 10)*(z + 3)/4
Let m(c) be the first derivative of -4*c**5/5 - 7*c**4 - 16*c**3 - 8. What is t in m(t) = 0?
-4, -3, 0
Let z(n) be the second derivative of n**7/1260 + 2*n**6/45 + 16*n**5/15 - 11*n**4/6 - 2*n. Let d(w) be the third derivative of z(w). What is v in d(v) = 0?
-8
Suppose 9*g - 240 = g. Suppose 31*n = g*n. Factor 0*i - 1/7*i**3 + n + 1/7*i**2.
-i**2*(i - 1)/7
Suppose -161*h = -172*h. Let d(b) be the second derivative of 1/2*b**4 + 0 + 0*b**2 + 0*b**6 - 1/14*b**7 + 2*b + h*b**3 + 9/20*b**5. Factor d(t).
-3*t**2*(t - 2)*(t + 1)**2
Let z(y) be the first derivative of -4/11*y**2 - 1/33*y**6 - 13/22*y**4 - 8/11*y**3 - 1 - 12/55*y**5 + 0*y. Factor z(w).
-2*w*(w + 1)**2*(w + 2)**2/11
Let f be 8/5 + (-14)/(-35). Determine s so that -4*s**4 - 28*s**2 + 38*s**2 - 4*s**4 - 5*s - f*s**4 + 5*s**5 = 0.
-1, 0, 1
Suppose -7 - 2/3*h**2 + 17/3*h = 0. Calculate h.
3/2, 7
Let q be (3/(-2))/((-78)/104) - 7. Let o(s) = s**3 + 4*s**2 - 5*s + 2. Let i be o(q). Factor -4/5*r + 2/5*r**3 + 2/5*r**i + 0.
2*r*(r - 1)*(r + 2)/5
Let q(s) be the second derivative of s**5/30 - 80*s + 1. Let q(l) = 0. Calculate l.
0
Factor -1 - 48*q + 1242*q**2 - 3 + 1232*q**2 + 63*q**3 - 3758*q**2 + 1183*q**2.
(q - 2)*(7*q + 2)*(9*q + 1)
Let r(t) = -5*t**2 + 8*t + 6. Let p = -8 + 14. Let s(j) = -11*j**2 + 15*j + 11. Let h(b) = p*s(b) - 11*r(b). Factor h(f).
-f*(11*f - 2)
Let m(o) be the first derivative of -4*o**5/5 + 4*o**3/3 + 1004. Factor m(i).
-4*i**2*(i - 1)*(i + 1)
Solve 38/21 + 2/21*z**2 - 40/21*z = 0 for z.
1, 19
Solve 2 + 19/6*r**2 - 14/3*r - 2/3*r**3 = 0 for r.
3/4, 2
Let a(k) = -3*k. Let f be a(-1). Let c(h) = -h**3 + 2*h**2 + 6*h - 7. Let q be c(f). Factor d**2 - 12 + d**2 + d**q.
3*(d - 2)*(d + 2)
Let k = -361/4760 - -12/119. Let g(b) be the second derivative of 0 + 1/60*b**6 - b + k*b**5 + 0*b**3 + 0*b**4 + 0*b**2. Factor g(y).
y**3*(y + 1)/2
Suppose 0 = 34*g - 19*g - 11 - 19. Suppose 5/2*f**g + 5/2*f + 0 = 0. What is f?
-1, 0
Solve 5/2*x - 55/4*x**2 + 55/4*x**4 + 65/4*x**5 - 75/4*x**3 + 0 = 0 for x.
-1, 0, 2/13, 1
Let v(k) = 18*k**3 - 48*k**2 + 29*k - 5. Let u(i) = 27*i**3 - 72*i**2 + 43*i - 7. Let g(f) = -5*u(f) + 7*v(f). Factor g(d).
-3*d*(d - 2)*(3*d - 2)
Suppose 5*c - 20 = 0, 4*o - 3*c - 161 = -13. Factor -5*f**3 + o*f**2 + 34*f + 35 - 60*f + 5*f**2 - 49*f.
-5*(f - 7)*(f - 1)**2
Let i(f) = -f**2 - 7*f - 12. Let l(d) = -d**2 - 3*d - 6. Let x(h) = 3*i(h) - 5*l(h). Let k(g) = -g**2 + g + 1. Let n(a) = 6*k(a) + x(a). Factor n(t).
-4*t**2
Find f such that 1/4*f**3 + 3/2 + 13/4*f + 2*f**2 = 0.
-6, -1
Suppose 0 = 4*g - 2*g + 3*l - 1, 4*g + 5*l - 3 = 0. Suppose 0 = -3*x - n + 2*n + 12, -g*x + 7 = -n. Factor 12*f - 8 - 3*f**2 - x*f**2 + 4*f**2.
-4*(f - 2)*(f - 1)
Let a(r) be the second derivative of 841*r**4/24 + 29*r**3/3 + r**2 - r + 22. Solve a(w) = 0.
-2/29
Let i = -243 + 243. Let x(g) be the third derivative of -1/2*g**3 - 1/360*g**6 + 1/36*g**5 - 2*g**2 - 1/24*g**4 + 0 + i*g. Solve x(a) = 0.
-1, 3
Solve -4/3*l**2 + 22/15 + 8/5*l**3 - 2/15*l**4 - 8/5*l = 0 for l.
-1, 1, 11
Let s(r) be the third derivative of 0*r**3 - 1/21*r**4 + 1/105*r**5 + 0 - 39*r**2 + 1/210*r**6 + 0*r. What is u in s(u) = 0?
-2, 0, 1
Factor -37/4*j**3 - 8 - 15/8*j**4 - 1/8*j**5 - 21*j - 41/2*j**2.
-(j + 1)*(j + 2)**3*(j + 8)/8
Let j(w) be the third derivative of 8/21*w**3 - 4/21*w**4 + 19*w**2 + 0*w + 0 + 1/21*w**5 - 1/210*w**6. Factor j(b).
-4*(b - 2)**2*(b - 1)/7
Let m be (-3831)/9891 - (23/7 - 3). Let r = -1/157 - m. Find l such that 22/9*l**2 + r*l - 4/9 - 2/3*l**3 - 2*l**4 = 0.
-1, -2/3, 1/3, 1
Suppose -o + 8 = 4*j, 2*j - 16 = 4*o + 6. Let m be -2 - (164/(-20) + j). Find z such that -m + 4/5*z**2 + 12/5*z = 0.
-4, 1
Let o(g) = 6*g**2 - 9*g - 3. Let k(i) be the third derivative of i**6/120 + 3*i**5/10 - 9*i**4/8 - 4*i**3/3 - 16*i**2. Let z(c) = 3*k(c) - 8*o(c). Factor z(u).
3*u*(u - 1)*(u + 3)
Let k(a) = a**2 + a - 1. Let l(t) = 4*t**3 + 30*t**2 - 2*t - 30. Let z(y) = -2*k(y) + l(y). Find s such that z(s) = 0.
-7, -1, 1
Let o(p) be the third derivative of 0*p**3 + 0*p**7 + 0*p + 0*p**5 - 11*p**2 + 1/144*p**4 + 1/2016*p**8 - 1/360*p**6 + 0. Factor o(v).
v*(v - 1)**2*(v + 1)**2/6
Let z be (4/(-4)*9)/(-1). Factor 31 - z*d - 20 - 17 - 3*d**2.
-3*(d + 1)*(d + 2)
Let d(l) be the second derivative of l**7/56 + 7*l**6/20 + 177*l**5/80 + 29*l**4/8 - 15*l**3/2 - 27*l**2 + 72*l - 3. Suppose d(b) = 0. Calculate b.
-6, -2, -1, 1
Suppose x + 0*x = -2. Let k be x*(-3)/(-6)*0. Find w, given that 3/5*w - 21/5*w**3 + k - 6/5*w**2 - 12/5*w**4 = 0.
-1, 0, 1/4
Let d(j) be the first derivative of 1/12*j**4 - 3/2*j**2 + 3*j - 5 - 1/3*j**3. Let g(r) be the first derivative of d