+ 4*x**2 + 0*x + 1/10*x**6 + 0*x**4 + 1/63*x**p - 4/45*x**5 + 0. Factor k(j).
2*j**2*(j + 4)*(5*j - 2)/3
Let m(d) = 5*d**2 + 2*d + 1. Let p be m(-1). Let l(v) = -2*v + 40. Let f be l(14). Factor -6*j**2 + 9*j - 3*j**5 + 0*j**p - f*j**3 - 6 + 6*j + 8*j**4 + 4*j**4.
-3*(j - 2)*(j - 1)**3*(j + 1)
Let h(f) = f**4 + f**3 + 2*f. Let y(o) = 16*o**4 - 32*o**3 - 792*o**2 + 2552*o - 896. Let k(u) = -4*h(u) - y(u). Let k(l) = 0. Calculate l.
-7, 2/5, 4
Let f(k) be the second derivative of k**4/32 + 17*k**3/16 + 63*k**2/8 + 8*k + 39. Factor f(j).
3*(j + 3)*(j + 14)/8
Factor -7*y**2 + 0*y**3 + 37*y**2 - 18*y**2 + 30 - 4*y**3 + 312*y - 350.
-4*(y - 10)*(y - 1)*(y + 8)
Let i be 175/42*((-195)/(-50)*1 + -3). Let n(l) be the first derivative of -10 + i*l**2 - 21/2*l**3 + 9*l. Factor n(u).
-3*(3*u - 2)*(7*u + 3)/2
Let s(i) be the first derivative of -3*i**5/40 + 17*i**4/24 + 2*i**3/3 - i**2/2 - 190*i + 233. Let r(t) be the second derivative of s(t). Solve r(o) = 0 for o.
-2/9, 4
Let p(b) = -2*b**4 - b**2 - 3. Let x(o) = -11*o**4 - 23*o**3 - 103*o**2 - 148*o - 87. Let n(i) = 20*p(i) - 4*x(i). Factor n(g).
4*(g + 1)*(g + 2)**2*(g + 18)
Suppose 2*u + 1518 = 13*u. Determine y, given that 8*y - 8*y - y**2 + u - 134 = 0.
-2, 2
Determine s, given that 0*s - 2*s**3 + 3/2*s**4 + 1/2*s**5 + 8 - 8*s**2 = 0.
-2, 1, 2
Suppose 19*f = 64 + 107. Let n(z) be the second derivative of -27/4*z**2 - 21/8*z**3 + 3/16*z**5 + 1/40*z**6 - f*z + 1/16*z**4 + 0. Factor n(t).
3*(t - 2)*(t + 1)*(t + 3)**2/4
Let w(i) be the second derivative of 0*i**2 + 0 - 78*i + 0*i**3 + 5/6*i**4 + 1/30*i**5. Factor w(h).
2*h**2*(h + 15)/3
Let k = 10979/9299 - 39/9299. Factor 50/17 + 2/17*d**2 + k*d.
2*(d + 5)**2/17
Let i(f) = 7*f**2 + 185*f + 186. Let s be i(-1). Let a(y) be the first derivative of 3/2*y**2 + 9/4*y + s + 1/4*y**3. Factor a(t).
3*(t + 1)*(t + 3)/4
Let h = 1929863/46615 - 2/46615. Suppose 12/5*m**2 + 51/5 - h*m = 0. Calculate m.
1/4, 17
Let u = 110383/4 - 27595. Let 0 + 1/4*p**2 - u*p = 0. Calculate p.
0, 3
Let q(s) be the third derivative of -s**8/120960 - s**7/1890 + 17*s**6/4320 - 6*s**5/5 + 102*s**2. Let i(m) be the third derivative of q(m). Factor i(y).
-(y - 1)*(y + 17)/6
Let u(d) be the third derivative of -d**5/160 + 673*d**4/64 + 337*d**3/8 + d**2 + 5*d + 8. Let u(p) = 0. What is p?
-1, 674
Suppose 5*l + 28 = 43. Let z(i) = 2*i**3 - 19*i**2 - 67*i + 3. Let q(r) = r**3 - r**2 - r + 1. Let x(g) = l*q(g) - z(g). Find n such that x(n) = 0.
-8, 0
Let d be 5/(-2)*96/(-80). Solve 400*u + 404*u - 799*u - 5*u**d = 0.
-1, 0, 1
Let d = -26/11 - -85/22. Let k = 10203 - 10203. Factor -15/2*f**2 - d*f + k - 6*f**3.
-3*f*(f + 1)*(4*f + 1)/2
Let y be (-572)/(-3146)*((-22)/8)/(9/(-12)). What is h in -2/9*h**4 - 4/9*h - 2/9*h**5 + y*h**3 + 0 + 2/9*h**2 = 0?
-2, -1, 0, 1
Let l(q) be the first derivative of 62 - 4/3*q**3 - 3/4*q**2 + q - 3/8*q**4. Find o such that l(o) = 0.
-2, -1, 1/3
Let c(l) be the first derivative of -1/360*l**6 + 1/40*l**5 + 0*l + 0*l**4 + 0*l**2 + 19/3*l**3 + 10. Let x(f) be the third derivative of c(f). Factor x(q).
-q*(q - 3)
Let n be ((-480)/2000)/(((-108)/(-45))/(-12)). Solve -n*d**4 + 18/5*d + 27/5*d**3 + 0 + 51/5*d**2 = 0.
-1, -1/2, 0, 6
Let k be 5049/(-1870)*(-5)/12. Let q(f) be the first derivative of 8 + 1/3*f**3 + 1/2*f - k*f**2. Factor q(a).
(a - 2)*(4*a - 1)/4
Suppose 4*q = -5*r + 594, -2*q - 5*r + 106 = -186. Factor 512 - q + 758*h**2 - 757*h**2 - 38*h.
(h - 19)**2
Let y be 5/((-100)/(-16))*690/3588. Solve -14/13*l + 20/13 + y*l**2 = 0 for l.
2, 5
Let z be (-14 + 6)/(-32) + (-46)/(-8). Let y be 21/(-6)*((-162)/63)/z. Factor y*b + 5/4*b**2 + 0 - 1/4*b**3.
-b*(b - 6)*(b + 1)/4
Suppose 182*g = 173*g + 72. Solve -15*n**2 - 129*n - 36 - 147*n**2 - g*n**3 + 6*n**3 - 79*n**3 - 12*n**4 = 0.
-4, -1, -3/4
Solve 2/5*g**3 + 1554/5*g - 3116/5 + 312*g**2 = 0.
-779, -2, 1
Let g(t) be the third derivative of t**8/1512 + t**7/189 + t**6/60 + 7*t**5/270 + t**4/54 - 45*t**2 + 6*t. Factor g(u).
2*u*(u + 1)**3*(u + 2)/9
Let k(s) be the second derivative of 2*s**6/135 - 2*s**5/15 + 8*s**4/27 + 1047*s. Find r such that k(r) = 0.
0, 2, 4
Let r(d) = -3*d**4 - 186*d**3 - 448*d**2 + 24*d + 8. Let x(c) = -10*c**4 - 555*c**3 - 1345*c**2 + 75*c + 25. Let h(q) = 25*r(q) - 8*x(q). Solve h(s) = 0 for s.
-2, 0, 44
Let f(p) be the second derivative of p**5/70 - 139*p**4/21 + 19321*p**3/21 + 22*p + 10. Suppose f(z) = 0. What is z?
0, 139
Suppose 0 = 6*n + 60 + 24. Let p(k) = -2*k - 26. Let d be p(n). Factor l + 6*l**3 + 0*l**3 + d*l**4 + 5*l - 14*l.
2*l*(l - 1)*(l + 2)**2
Let s(i) = -6*i**3 - 5*i**2 + 4. Let w be ((-6)/(-5))/((-27)/90). Let r(j) = j**3 + j**2 - 1. Let b(k) = w*r(k) - s(k). Let b(h) = 0. Calculate h.
-1/2, 0
What is g in -4*g - 40*g - 44*g**3 - 3*g**4 - 120*g**2 - 3*g**4 - 43*g**3 + 5*g = 0?
-13, -1, -1/2, 0
Factor 164 + 444*i**3 + 17*i**2 + 14*i**2 + 242*i + 45*i**2 - 446*i**3.
-2*(i - 41)*(i + 1)*(i + 2)
Let f(j) = 4*j**3 + 820*j**2 - 12180*j - 44132. Let x(o) = -3*o**3 - 547*o**2 + 8120*o + 29422. Let d(s) = 11*f(s) + 16*x(s). Find b, given that d(b) = 0.
-3, 35
Factor -19599/2*u**2 + 6927/2*u**3 - 399/4*u**4 + 3/4*u**5 + 38415/4*u - 12675/4.
3*(u - 65)**2*(u - 1)**3/4
Let p be ((-2)/(-27))/(69*(-20)/(-24840)). Factor 0*g + 16/3*g**3 + p*g**4 - 2/3*g**5 + 0 + 0*g**2.
-2*g**3*(g - 4)*(g + 2)/3
Let r(c) be the first derivative of 5*c**3/3 - 85*c**2 - 555*c + 3793. Factor r(w).
5*(w - 37)*(w + 3)
Let k(b) be the second derivative of -17*b + 27/2*b**2 + 8 - 1/2*b**4 - 3/40*b**5 + 3/4*b**3. Factor k(n).
-3*(n - 2)*(n + 3)**2/2
Let d = 78 - 82. Let o(t) = 15*t**2 - 55*t + 64. Let h(q) = 8*q**2 - 28*q + 32. Let x(v) = d*o(v) + 7*h(v). Determine s so that x(s) = 0.
2, 4
Let l(f) be the third derivative of 1/336*f**8 + 0*f**3 + 0 + 1/40*f**6 + 1/12*f**5 + 0*f - 135*f**2 - 1/6*f**4 - 1/42*f**7. Factor l(j).
j*(j - 4)*(j - 1)**2*(j + 1)
Let -5*m + 21/5 + 1/5*m**3 + 3/5*m**2 = 0. Calculate m.
-7, 1, 3
Let u be (21/14)/(15/50). Suppose 48*k = 2*k + 92. Factor 0*z + 0*z**3 + 0 + u*z**k - 5/4*z**4.
-5*z**2*(z - 2)*(z + 2)/4
Let q(s) be the second derivative of 1/18*s**4 + 0 + 0*s**3 + 0*s**6 - 1/126*s**7 - 36*s + 0*s**2 + 1/20*s**5. Solve q(k) = 0.
-1, 0, 2
Let j(h) = -14*h**3 + 55*h**2 + 60*h + 6. Let c(t) = -45*t**3 + 165*t**2 + 180*t + 20. Let s(m) = -3*c(m) + 10*j(m). Determine q so that s(q) = 0.
-1, 0, 12
Let j(d) be the first derivative of -161 + 99/10*d**2 - 121/5*d + 1/20*d**4 + 7/5*d**3. Suppose j(n) = 0. What is n?
-11, 1
Let k(t) be the third derivative of t**6/210 - 341*t**5/105 + 30227*t**4/42 - 55778*t**3/3 - t**2 - 275*t + 2. Factor k(c).
4*(c - 167)**2*(c - 7)/7
Let k(i) be the third derivative of -5*i**8/448 + i**7/42 - i**6/45 + 43*i**5/60 - 73*i**2. Let r(f) be the third derivative of k(f). Solve r(s) = 0 for s.
4/15
Let z(w) be the second derivative of -w**2 + 1/36*w**4 + 5/18*w**3 + 2 - 5*w. Factor z(a).
(a - 1)*(a + 6)/3
What is w in -1792/5*w**2 + 586/5*w**3 + 316/5*w**4 - 2568/5*w - 14*w**5 - 576/5 = 0?
-2, -1, -2/7, 3, 24/5
Let x be -3*(-10)/(-75) + 304/10. Let p be (12/10)/(18/x). Factor 2/5 - 1/5*b - 1/5*b**p.
-(b - 1)*(b + 2)/5
Let z(l) be the third derivative of -l**5/120 - 101*l**4/48 - 97*l**3/3 - 10*l**2. Factor z(t).
-(t + 4)*(t + 97)/2
Suppose -275/2*u + 39 + 7/2*u**2 = 0. Calculate u.
2/7, 39
Let c(k) be the second derivative of -k**6/150 - 3*k**5/20 - 61*k**4/60 - 7*k**3/10 + 49*k**2/5 + 2*k - 1977. Find i such that c(i) = 0.
-7, -2, 1
Let k(m) = 3*m + 58. Let f(h) = -7*h - 57. Let p(v) = -3*f(v) - 4*k(v). Let n be p(7). Let -4/5*g**3 + 4/5*g - 8/5*g**n + 8/5 = 0. What is g?
-2, -1, 1
Suppose -2*r - 5*u + 210 = 0, 3*r + u + 210 = 5*r. Let v be ((-21)/(-49) - 66/r)/(-1). Solve 0 - v*s**2 + 3/5*s = 0.
0, 3
Let l = 26012/65055 - -2/13011. Let r(y) be the first derivative of -11 + 0*y - 1/15*y**3 + l*y**2. Factor r(h).
-h*(h - 4)/5
Let x(m) = -m**3 + 9*m**2 + 21*m + 14. Let s be x(11). Factor 28*w + 5*w**2 - 13*w - 14*w + 5*w**s - 11*w.
5*w*(w - 1)*(w + 2)
Let q be 14*(-2)/35*1*2/(-4). Suppose 2/15*z**2 - 8/15 + q*z = 0. Calculate z.
-4, 1
Let u(x) be the second derivative of -3*x**5/100 + 3*x**4/2 + 336*x**3/5 + 4416*x**2/5 - 7*x - 67. Solve u(s) = 0.
-8, 46
Suppose -7*q + 76 = -4*s, 33*s - 34*s - 2*q + 26 = 0. Factor -4/3*f**5 + 4*f**3 + 0 + 8/3*f - 20/3*f**