+ 43*g**4 = 0.
-1, -2/3, 1, 5
Suppose 10*i + 59 = 79. Factor -2*f**3 + 0 + 6*f**i - 9/2*f.
-f*(2*f - 3)**2/2
Suppose 0 = -5*k - 4*l - 2, 18 = 3*k - 3*l - l. Suppose 5*m = -k*d + 5, -5*m = 3*d - 7*d - 35. Factor -2 + 4*v - 3 + 2 + 2*v - m*v**2.
-3*(v - 1)**2
Let y(b) = 245*b**3 - 145*b**2 - 185*b + 80. Let g(t) = -123*t**3 + 73*t**2 + 92*t - 40. Let h(f) = 5*g(f) + 2*y(f). Factor h(a).
-5*(a - 1)*(5*a - 2)*(5*a + 4)
Let d(u) = -8*u**2 - 55*u - 37. Let o be d(-6). Determine c, given that -c**o - 5/2*c**2 + 0 + 0*c**3 + c + 5/2*c**4 = 0.
-1, 0, 1/2, 1, 2
Let y be 902/5 + (-5 - (-69)/15). Let k = y - 180. Let k - 2/3*r**3 - 4*r**2 - 6*r = 0. What is r?
-3, 0
Let y(p) = 9*p**4 + 152*p**3 + 413*p**2 + 266*p. Let d(t) = 11*t**4 + 153*t**3 + 412*t**2 + 264*t. Let h(z) = -2*d(z) + 3*y(z). Find x such that h(x) = 0.
-27, -2, -1, 0
Let y(k) be the second derivative of -k**4/6 - 11*k**3/3 + 126*k**2 - 401*k. Factor y(p).
-2*(p - 7)*(p + 18)
Factor -20*f**4 + 22*f**4 - 18*f**3 - 2*f**5 - 15*f + 8*f**4 + 2*f**2 + 12*f**2 + 11*f.
-2*f*(f - 2)*(f - 1)**3
Let y = -40 - -43. Let 9 - 80*h - 5*h**y + 7*h**2 + 17 + 28*h**2 + 34 = 0. What is h?
2, 3
Let v(q) be the second derivative of -q**5/60 + 7*q**4/18 + q**3/18 - 7*q**2/3 - 52*q. Solve v(x) = 0 for x.
-1, 1, 14
Let h(z) be the third derivative of -10*z**2 - 1/60*z**5 - 1/24*z**4 + 0*z**3 + 0*z + 0. Factor h(x).
-x*(x + 1)
Suppose 13 = 5*v - 37. Let f be (-2)/(-2) - v/(-10). Solve -5*j**3 + 5*j**2 + 6*j**3 - 3*j**2 - j**f = 0 for j.
-1, 0
Suppose 6 = 4*n - 6. Suppose 24 + t**3 + 2*t - 5*t**n + 10*t - 16 = 0. What is t?
-1, 2
Let g(l) be the second derivative of -l**5/170 + l**4/6 - 31*l**3/51 + 15*l**2/17 - 46*l - 1. Find h, given that g(h) = 0.
1, 15
Let m = 4277 - 4274. Factor 3/4*c**3 + 3 - m*c - 3/4*c**2.
3*(c - 2)*(c - 1)*(c + 2)/4
Let f = 13 + -14. Let d be 9 + (1 + -4 - f). Factor -3*g**4 - 5 + d*g**2 - 2*g**2 - g + g**3 + 3.
-(g - 1)**2*(g + 1)*(3*g + 2)
Let z be ((-12)/(-21))/(4/14). Let t = z - -2. Suppose 4*d**5 + t*d - 8*d**2 - 16*d**3 + 7*d + d + 8 = 0. What is d?
-1, 1, 2
Factor 920*q**3 - q - 7*q**2 - 928*q**3 + q**2.
-q*(2*q + 1)*(4*q + 1)
Factor -1/4*b**3 - 5/2*b**2 - 9 - 33/4*b.
-(b + 3)**2*(b + 4)/4
Let f(v) be the third derivative of v**7/70 + v**6/10 - 13*v**5/20 - v**4/2 + 6*v**3 - 38*v**2 + 3. Find o such that f(o) = 0.
-6, -1, 1, 2
Let l(s) be the third derivative of -s**5/30 + 5*s**4/12 + 2*s**3 - 12*s**2 - 1. Let l(k) = 0. Calculate k.
-1, 6
Let r(c) = -c**2 - 2*c + 6. Let a be r(-3). Find y such that 6*y**3 + 8*y**3 - 24*y**3 + 8*y**a + 4*y**2 = 0.
0, 2
Let g be 2/(-3) + (-304)/(-24). Suppose -4 = -r + 3*i, -i - 2*i - g = -3*r. Factor -2/3 + 0*t**3 + 4/3*t**2 - 2/3*t**r + 0*t.
-2*(t - 1)**2*(t + 1)**2/3
Let p(l) be the first derivative of -l**4/3 - 16*l**3/3 + 18*l**2 - 56*l/3 + 400. Let p(h) = 0. What is h?
-14, 1
Let m(r) be the third derivative of -r**7/105 + r**6/30 + r**5/10 + 97*r**2. Find j such that m(j) = 0.
-1, 0, 3
Let j(k) = 3*k**2 - 75*k + 510. Let p(w) = -3*w**2 + 76*w - 509. Let l(x) = -2*j(x) - 3*p(x). Factor l(f).
3*(f - 13)**2
Let b be ((-72)/(-10))/((-494)/(-3040)). Let n = -44 + b. What is l in 6/13*l + n*l**2 - 6/13*l**4 + 2/13 - 4/13*l**3 - 2/13*l**5 = 0?
-1, 1
Let m be (-57)/(-6) - (-1)/2. Factor -2*i**2 - 19*i + 7*i + m*i.
-2*i*(i + 1)
Suppose -3*p + 761 = 5*n, 0 = -12*p + 10*p - 6. Let t = n - 152. Factor 0 - 3*h**4 - 13/2*h**3 - 1/2*h**5 - 2*h - 6*h**t.
-h*(h + 1)**2*(h + 2)**2/2
Let u(a) be the third derivative of a**6/12 - 7*a**5/4 - 95*a**4/12 + 20*a**3 + 7*a**2 - 11. Factor u(x).
5*(x - 12)*(x + 2)*(2*x - 1)
Suppose -k - 25 = 4*k. Let l(o) = 50*o**5 + 115*o**4 + 68*o**3 - 13*o**2 - 23*o - 4. Let t(f) = f. Let s(g) = k*l(g) - 15*t(g). Solve s(h) = 0.
-1, -2/5, 1/2
Let r(o) be the second derivative of 9*o - 1/3*o**4 - 3 + 0*o**2 - 1/15*o**6 + 0*o**3 - 3/10*o**5. Factor r(t).
-2*t**2*(t + 1)*(t + 2)
Let t(o) be the first derivative of 0*o + 1/120*o**6 + 4*o**2 - 1/24*o**4 + 1/60*o**5 - 1/6*o**3 - 1. Let d(r) be the second derivative of t(r). Factor d(b).
(b - 1)*(b + 1)**2
Let j(w) be the first derivative of w**6/33 - 24*w**5/55 - 13*w**4/22 + 199. Determine m so that j(m) = 0.
-1, 0, 13
Let z be (-12 + 2 + 10)/(-5). Let f(x) be the third derivative of 0*x**3 + x**2 - 1/8*x**4 + 0 - 1/40*x**6 + z*x + 1/10*x**5. Solve f(m) = 0.
0, 1
Let u(w) = 264*w - 2110. Let m be u(8). Determine l so that -32/3*l**m + 40/9*l**3 - 28/9 - 4/9*l**4 + 88/9*l = 0.
1, 7
Let u(w) = -w**2 + w - 1. Let y(k) = -5*k**2 - 7*k - 15. Let t(b) = -6*u(b) + 2*y(b). Suppose t(f) = 0. Calculate f.
-3, -2
Suppose 0*u + 28 = 3*u - 2*y, 0 = 4*u + 2*y - 14. Let g be u/45*(10 - 5). Factor -4/9 - 2/9*r**2 - g*r.
-2*(r + 1)*(r + 2)/9
Suppose 12 = 4*g + z, -3*g + 3*z - 11 = -5. Factor 0*p - 1/2*p**5 + 0*p**4 + 0 + 0*p**g + 0*p**3.
-p**5/2
Let g(k) be the first derivative of k**8/840 - k**7/140 + k**6/90 + 5*k**3 - 9. Let i(p) be the third derivative of g(p). What is m in i(m) = 0?
0, 1, 2
Factor 23*x**2 - 60*x + 3*x**2 - 10*x**3 + 46*x + 0*x**2 - 2*x**4.
-2*x*(x - 1)**2*(x + 7)
Let q(x) be the first derivative of x**4/6 + 4*x**3/9 - 7*x**2 + 12*x - 226. Factor q(t).
2*(t - 3)*(t - 1)*(t + 6)/3
What is o in -6*o**4 - o**2 - 6*o + 6*o**3 + 24*o**4 - 17*o**4 = 0?
-6, -1, 0, 1
Let r = -1577 + 1579. Suppose -12/5*w**3 + 9*w**r - 36/5*w - 12/5 = 0. Calculate w.
-1/4, 2
Let x(o) be the third derivative of -o**6/180 - 11*o**5/90 - 10*o**4/9 - 16*o**3/3 + 100*o**2. Factor x(c).
-2*(c + 3)*(c + 4)**2/3
Let u = 177999/5 - 35597. Solve 16/5*i**2 + 2/5 - 9/5*i - 1/5*i**5 - u*i**3 + 6/5*i**4 = 0 for i.
1, 2
Let d be 24 + (13 + -4)*-2. Factor 0 - 2*w**4 + d*w**2 + 1/2*w**5 - w**3 + 9/2*w.
w*(w - 3)**2*(w + 1)**2/2
Let a = -18 - -9. Let l = -7 - a. Determine o so that -3*o**3 - o**2 + l*o**3 + 0*o**3 = 0.
-1, 0
Let i be -1 - 2/(24/(-14)). Let d be 282/90 - 3 - (-28)/140. Factor 1/6*j**2 - d*j + i.
(j - 1)**2/6
Let j be (-39)/(-33) - (-1 - -2). Let h be (((-2000)/(-75))/(-80))/(-1 + (-8)/(-9)). Factor 54/11*f + j*f**h - 54/11 - 18/11*f**2.
2*(f - 3)**3/11
Let y(t) be the second derivative of -11*t**7/735 - t**6/210 + 9*t**2/2 + 16*t. Let p(r) be the first derivative of y(r). Factor p(f).
-2*f**3*(11*f + 2)/7
Let x(q) = -99*q + 3171. Let s be x(32). Find y, given that 0 + 20/7*y**2 + 6/7*y + 12/7*y**4 + 2/7*y**5 + 24/7*y**s = 0.
-3, -1, 0
Let b(r) be the first derivative of -9 - 6 + 5*r**2 - 4*r + 8 + 2*r**3. Factor b(n).
2*(n + 2)*(3*n - 1)
Let w(j) = -j**3 - 12*j**2 - 11*j. Let n be w(-11). Suppose n = -x + 6 - 1. Suppose x*g - 5*g - 2*g**2 = 0. What is g?
0
Let d(f) be the third derivative of 0 - 1/6*f**6 - 2/35*f**7 + 5*f**2 + 1/5*f**5 + 1/21*f**8 + 1/6*f**4 + 0*f + 0*f**3. Suppose d(m) = 0. What is m?
-1, -1/4, 0, 1
Let f = 103 - 101. Find l such that 13*l - 7*l**2 + l**f + 9 + 0*l**2 - 11 = 0.
1/6, 2
Let y be (-27)/((-945)/14) + 3. Factor -r**2 - 6/5 - y*r.
-(r + 3)*(5*r + 2)/5
Let p be (-41)/(1886/(-920))*(-2)/(-2). Let -1/5*t**2 + 4*t - p = 0. What is t?
10
Let a = 272 + -272. Let y(d) be the first derivative of 2/7*d + a*d**2 - 2/21*d**3 - 4. Find c such that y(c) = 0.
-1, 1
Suppose 12*i**3 + 2*i**2 - i**2 - i**2 - 22*i**5 - 290*i**4 + 300*i**4 = 0. Calculate i.
-6/11, 0, 1
Suppose 0 = -2*r + 19*r. Let z(p) be the third derivative of p**2 + r*p + 1/390*p**5 + 1/39*p**3 + 0 - 1/78*p**4. Factor z(k).
2*(k - 1)**2/13
Let o = 6408/5 + -3844/3. Factor 2/15*z**2 + 2/15 + o*z.
2*(z + 1)**2/15
Factor 0*n - 7/11*n**2 - 8/11*n**3 + 0 - 1/11*n**4.
-n**2*(n + 1)*(n + 7)/11
Let q = 1/169 + 335/507. Let a(h) be the second derivative of -1/5*h**5 - 2/3*h**3 - q*h**4 + 5*h + 0 + 0*h**2. Factor a(o).
-4*o*(o + 1)**2
Let c = -35 - -90. Solve -4*g - 81*g**4 + 9*g - 1 + g**2 + 7*g - c*g**2 + 108*g**3 = 0 for g.
1/3
Let v(r) be the second derivative of -r**6/540 + r**4/108 + 3*r**2/2 + 5*r. Let h(p) be the first derivative of v(p). Factor h(f).
-2*f*(f - 1)*(f + 1)/9
Let j be (-2 + 0 + 1)*(-9)/((-225)/(-10)). Factor -j + 2/5*a**3 - 2/5*a + 2/5*a**2.
2*(a - 1)*(a + 1)**2/5
Let b(f) = -7*f**4 + 7*f**3 + 6*f**2 - 7*f + 7. Let u(k) = -8*k**4 + 8*k**3 + 7*k**2 - 8*k + 9. Let s(l) = -4*b(l) + 3*u(l). Solve s(t) = 0 for t.
-1, 1/2, 1
Let o(q) = 2*q**2 - 12*q + 16. Let i(v) = -2*v**2 + 12*v - 16. Suppose 5*h + 3*r - 30 = 0, 4*h + 0