. Let n = -17 - m. Factor -15*j**3 - n*j**2 - 56*j**2 - 21*j + 25*j**4 + j.
5*j*(j - 2)*(j + 1)*(5*j + 2)
Let v(x) be the third derivative of x**6/28 - 751*x**5/210 + 9425*x**4/84 - 625*x**3/21 - 3*x**2 - 78*x. Determine g so that v(g) = 0.
1/15, 25
Let y(q) be the first derivative of 2*q**3 - 154 + 1/2*q**4 - 16*q - 6*q**2. Suppose y(a) = 0. Calculate a.
-4, -1, 2
Let g(o) be the second derivative of o**4/18 + 226*o**3/9 - 624*o**2 + 2330*o. Factor g(x).
2*(x - 8)*(x + 234)/3
Let s = -129 + -385. Let p = 517 + s. Determine t, given that -24/5*t - 12/5 - 3/5*t**2 + 9/5*t**p = 0.
-1, -2/3, 2
Let m(h) be the second derivative of 0 + 0*h**4 - 4/9*h**3 + 1/30*h**5 + 83*h + 0*h**2. Factor m(t).
2*t*(t - 2)*(t + 2)/3
Factor 14*c**4 - 5*c**2 + 8*c + 10*c**2 - 2*c - 2*c**3 - 25*c**4 + 10*c**4.
-c*(c - 2)*(c + 1)*(c + 3)
Let z(h) be the third derivative of h**7/1260 + 7*h**6/240 + 19*h**5/180 + h**2 - 2*h + 419. What is i in z(i) = 0?
-19, -2, 0
Let h(y) be the first derivative of -6*y**2 - 51/4*y**4 - 196 + 20*y**3 + 12/5*y**5 + 0*y. Factor h(q).
3*q*(q - 2)**2*(4*q - 1)
Find z such that -57107*z**2 - 20486 + 1077*z**4 + 208644*z - 12268 - 44079*z - 4*z**5 + 23008*z**3 - 95089*z**3 - 3696 = 0.
-2, 1/4, 1, 135
Let k(n) be the second derivative of -n**7/3024 + 11*n**6/864 + 2*n**4/3 + n**3/3 - 59*n. Let q(b) be the third derivative of k(b). Factor q(c).
-5*c*(c - 11)/6
Let h(l) be the second derivative of 3/40*l**5 + 87*l + 0 + 0*l**2 + 0*l**4 - 1/4*l**3. Determine r so that h(r) = 0.
-1, 0, 1
Let b(g) be the first derivative of -5/6*g**4 + 20/3*g - 5/9*g**3 + 20/3*g**2 + 30. Factor b(h).
-5*(h - 2)*(h + 2)*(2*h + 1)/3
Let m(b) = 211*b**2 + 23630*b - 34928095. Let i(x) = -84*x**2 - 11816*x + 17464048. Let u(k) = -5*i(k) - 2*m(k). Let u(h) = 0. What is h?
2955
Suppose 3*o - 3 = 0, -t - o - 3 = -9. Suppose -16 = -t*y - 3*b + 14, -5*y + b = -30. Determine x so that 2*x**2 - 3*x - 2*x**3 + y*x**2 + x - 4*x = 0.
0, 1, 3
Suppose 11*i - 17*i + 66 = 0. Factor 9*z**2 - 3*z + i*z**3 - 10*z**3 + 2*z**3 - 9.
3*(z - 1)*(z + 1)*(z + 3)
Factor -3733*s - 3079*s + 5909149 - 108731 + 7*s**2 - 5*s**2.
2*(s - 1703)**2
Let v be 1172/(-10) - 3/15*-1. Let z be (v/(-26))/((-2)/(-4)). Factor z*f**3 - 7*f**3 - 4*f**3 + 2*f.
-2*f*(f - 1)*(f + 1)
Let c = -349446 - -698893/2. Find p, given that -11/4*p**2 + 3*p + 9/4 + c*p**3 = 0.
-1/2, 3
Let h(d) be the second derivative of -3/10*d**6 - 3*d**4 + 0*d**2 + 57*d + 33/20*d**5 + 2*d**3 + 0. Solve h(r) = 0.
0, 2/3, 1, 2
Let -13*w**3 + 850 + 4318*w + 4098*w**2 - 1592*w + 31*w**3 - 396 = 0. Calculate w.
-227, -1/3
Let z be (-12)/(-54) + (-55)/288. Let d(j) be the second derivative of 0 - 9*j - 3/16*j**3 + z*j**4 - 3/4*j**2. Factor d(m).
3*(m - 4)*(m + 1)/8
Suppose 8*w = -284 + 1556. Suppose 3*n = -5*q + q + w, -n + 5 = 0. Determine j, given that 30*j**3 - 40*j**2 + 10*j**5 - 30*j**4 + q*j**3 - 14*j**4 + 8*j = 0.
0, 2/5, 1, 2
Let a(g) = -3*g**2 + 34*g - 104. Let z(f) = -10*f**2 + 92*f - 312. Let o(u) = 7*a(u) - 2*z(u). Let o(i) = 0. Calculate i.
2, 52
Let l(o) = 112454*o + 449818. Let c be l(-4). Suppose -2/3*s + 68/3*s**c + 40/3*s**4 - 88/3*s**3 - 2*s**5 - 4 = 0. Calculate s.
-1/3, 1, 2, 3
Let 2*v**3 + 0 - 8/7*v**2 - 2/7*v**4 - 24/7*v = 0. What is v?
-1, 0, 2, 6
Let m be 2 + -4 + 2 + (-11)/(-33)*0. Suppose m + 6*l - 3/2*l**2 = 0. What is l?
0, 4
Let i(m) = 4*m**3 + 129*m**2 + 382*m + 11203. Let n be i(-32). Suppose 17/3*a**4 + 0 - 3*a**2 + 0*a + 7*a**n + a**5 = 0. Calculate a.
-3, 0, 1/3
Let f(p) be the first derivative of -7/160*p**5 - 3/320*p**6 - 1/12*p**3 + 5 - 1/12*p**4 + 7*p**2 + 0*p. Let l(m) be the second derivative of f(m). Factor l(q).
-(q + 1)*(3*q + 2)**2/8
Let o(r) be the second derivative of r**7/14 + 122*r**6/5 + 11163*r**5/5 - 221*r. Factor o(h).
3*h**3*(h + 122)**2
Let m(d) be the second derivative of 3*d**5/20 - 20*d**4 + 616*d**3 + 23232*d**2 - 3*d - 61. Suppose m(f) = 0. What is f?
-8, 44
Let k(h) = -225*h**2 + 17*h - 59. Let q(a) = 111*a**2 - 8*a + 25. Let u(t) = 3*k(t) + 7*q(t). Determine w, given that u(w) = 0.
-2/17, 1/6
Factor 14 + 1/4*i**2 - 15/2*i.
(i - 28)*(i - 2)/4
Solve -32*j**2 + 20/7*j**4 + 96/7*j + 576/7 - 2/7*j**5 - 16/7*j**3 = 0 for j.
-2, 2, 6
Let u(r) = 256*r**3 + r - 1. Let j be u(1). Factor -367 - 161 - 4*b**2 - 112*b - j.
-4*(b + 14)**2
Let y(k) be the second derivative of k**8/4032 - k**7/1512 + 73*k**4/12 + 22*k + 1. Let q(b) be the third derivative of y(b). Factor q(p).
5*p**2*(p - 1)/3
Solve -216*p**3 - 903*p - 2592 - 2765*p - 1746*p**2 + 63*p**4 - 220*p - 71*p**4 = 0 for p.
-12, -3/2
Determine r, given that 1/3*r**4 - 52/3*r - 88/3 + 6*r**2 + 13/3*r**3 = 0.
-11, -2, 2
Let w be ((-2)/(-6) - 18*168/2160) + 42/30. Factor -1/3*c**2 + 4 + 8/3*c - w*c**3.
-(c - 3)*(c + 2)**2/3
Let f(s) be the second derivative of -3*s + 19/18*s**3 + 57 + 3/20*s**5 - 17/18*s**4 + s**2. Solve f(x) = 0 for x.
-2/9, 1, 3
Suppose -l = -3*v - 21, -2*l - 3 = 2*v + l. Let p be (1 - 8 - v) + 4. Let 3*c**2 - 15/4*c + 3/2 - 3/4*c**p = 0. Calculate c.
1, 2
Let l(o) be the first derivative of 3*o**5/5 - 9*o**4/2 - 8*o**3 + 9*o**2 + 21*o + 1479. Factor l(i).
3*(i - 7)*(i - 1)*(i + 1)**2
Let k(z) be the first derivative of 1/33*z**6 - 4/11*z**2 + 3/22*z**4 + 8/33*z**3 - 8/55*z**5 + 0*z + 107. Suppose k(a) = 0. What is a?
-1, 0, 1, 2
Determine g, given that -2/3*g**4 + 0 + 48*g**2 - 46*g**3 + 280/3*g = 0.
-70, -1, 0, 2
Let p(x) be the third derivative of 2*x**6/15 + 9*x**5/5 - 23*x**4/3 - 32*x**3 + 15*x**2 + 6. Factor p(l).
4*(l - 2)*(l + 8)*(4*l + 3)
Factor 220/3 + 5/6*f**3 + 75*f**2 + 295/2*f.
5*(f + 1)**2*(f + 88)/6
Let k(o) = -61*o + 17. Let s be k(2). Let z be (-5 - 497/s)/(8/(-20)). Factor 0 - 1/3*r**2 + 0*r + r**4 + z*r**3.
r**2*(r + 1)*(3*r - 1)/3
Let d(a) be the first derivative of 2/3*a**4 - 4/3*a**3 - 20*a + 0*a**2 - 1/10*a**5 + 27. Let i(x) be the first derivative of d(x). Factor i(s).
-2*s*(s - 2)**2
Let k(c) be the second derivative of -1/7*c**7 - c + 0*c**3 - 4/15*c**6 + 1/10*c**5 + 0*c**2 + 1/3*c**4 + 147. Let k(q) = 0. What is q?
-1, 0, 2/3
Let h(o) be the first derivative of o**6/2 - 219*o**5/25 + 423*o**4/10 - 74*o**3/5 - 861*o**2/10 + 441*o/5 + 990. Find i such that h(i) = 0.
-1, 3/5, 1, 7
Let a = 142679/2 + -71339. Let x be (-7 + 8)*2/4. Find t, given that x + a*t**2 + t = 0.
-1
Let n(t) be the first derivative of t**3/7 - 120*t**2/7 + 4800*t/7 + 117. Factor n(y).
3*(y - 40)**2/7
Let m(n) be the third derivative of 3/100*n**5 + 31/120*n**4 + 0*n - 99*n**2 + 0 + 2/5*n**3. Factor m(x).
(x + 3)*(9*x + 4)/5
Let h = 16862 - 16862. Factor 9*i**2 + 0*i - 21/2*i**3 + h + 4*i**4 - 1/2*i**5.
-i**2*(i - 3)**2*(i - 2)/2
Suppose -4*i + 2*o = 4*o - 2, 3*o = -4*i - 3. Suppose -2 + 105*k - 33*k**2 - 79 + 6 + 3*k**i = 0. Calculate k.
1, 5
Let q(x) = -15*x. Let u(g) = -3*g**2 - 3399*g - 937443. Let i(n) = 3*q(n) - u(n). What is f in i(f) = 0?
-559
Suppose 0 = -q - 4*q + 30. Let b be 2 + -3 + 4/4. Factor 9*y**4 - 12 - 6*y**4 + b*y**4 - 9*y**2 - q*y**3 + 24*y.
3*(y - 2)*(y - 1)**2*(y + 2)
Let m be (-32)/(-7904)*65*188. Factor 0 + 728/19*c**2 - m*c**3 - 144/19*c + 50/19*c**4.
2*c*(c - 18)*(5*c - 2)**2/19
Let q(k) be the second derivative of -1/60*k**5 + 6*k**2 + 50*k - 4/3*k**3 - 11/36*k**4 + 0. Factor q(y).
-(y - 1)*(y + 6)**2/3
Determine u, given that 890*u**2 + 267*u**2 - 17*u**5 + 834*u**2 - 61*u + 169*u - 2967*u**2 + 441*u**3 + 444*u**4 = 0.
-2, 0, 2/17, 1, 27
Let k be (-10 + 0)*(-360)/(-80). Let d be (-4)/((-9)/(k/(-5))). Factor 0 - 11/4*v**3 + 1/4*v + 3/2*v**d + v**2.
v*(v - 1)**2*(6*v + 1)/4
Let r(z) be the second derivative of z**6/120 - 149*z**5/80 + 703*z**4/6 - 1369*z**3/6 - 1696*z. Let r(s) = 0. What is s?
0, 1, 74
Let r = 840 - 835. Suppose -2*z**2 + 0*z**2 - z - 5*z + 6*z**2 + z**4 - r + 6*z**3 + 0*z**4 = 0. Calculate z.
-5, -1, 1
Factor 21*h**2 - 84*h - 698 + 1224 + 3*h**3 - 1006.
3*(h - 5)*(h + 4)*(h + 8)
Suppose 0 = -6*n + 17*n - 22*n. Let m(b) be the second derivative of -3/40*b**5 - 1/4*b**3 + n - 1/4*b**4 - 14*b + 0*b**2. Factor m(j).
-3*j*(j + 1)**2/2
Suppose i = u - 8, 5*u - 22 = 4*i + 15. Suppose -12*r - u + 29 = 0. Factor 5 - 10 + 2*n**3 + n**4 + 53*n**2 - 65*n**r + 14*n.
(n - 1)**3*(n + 5)
Let u be (-288)/(-20) + -11 + (-4)/10. Solve 21*g**2 + 2*g**u + 7 - 1 + 0*g**3 - g - 9*g - 19*g**2 = 0 for g.
-3, 