or p(n).
-4*(n - 188)*(n + 1)
Suppose -4*g = 4*h + 524, 1 = -5*g - 14. Let a = h - -130. Determine y, given that 5/3 + 2*y + 1/3*y**a = 0.
-5, -1
Let i = -8/1335233 - -1888026382/1154976545. Let k = i - 6/173. Factor 6/5*q**2 - 1/5*q**4 - k*q + 0*q**3 + 3/5.
-(q - 1)**3*(q + 3)/5
Let m(h) = -h + 72. Let o be m(45). Let j be ((-16)/(-45))/(11/(6 + o)). Determine w, given that 32/15 + 2/15*w**2 + j*w = 0.
-4
Let t(j) be the second derivative of -j**7/42 + 97*j**6/30 - 12673*j**5/80 + 8966*j**4/3 - 16768*j**3/3 + 4096*j**2 - 2*j - 415. Factor t(c).
-(c - 32)**3*(2*c - 1)**2/4
Let x be (3 - 14)*(-4935)/12925. Find t such that -18/5 - 3/5*t**2 + x*t = 0.
1, 6
Determine t so that -39600 + 4120*t - 296*t**2 - 1119*t + 4*t**3 + 3179*t = 0.
15, 44
Let d(o) be the third derivative of -o**5/15 - 67*o**4/24 + 17*o**3/6 + 596*o**2. Factor d(t).
-(t + 17)*(4*t - 1)
Let r(t) = 1266*t - 70. Let q be r(1). Let c = 1199 - q. Factor 8/5*g**2 + 3/5*g**c + 2/5 + 7/5*g.
(g + 1)**2*(3*g + 2)/5
Let r be (-1 + 2)*4/(-60) - (-4960)/2400. Suppose -2/3*z**r - 26/3*z - 44/3 = 0. Calculate z.
-11, -2
Let f(o) = -7*o - 16. Let c be f(-7). Factor 18*d - 17*d**2 + 14*d**3 + 2*d**4 + 14*d**2 + c*d**2.
2*d*(d + 1)*(d + 3)**2
Let u(x) be the third derivative of 2*x**6/15 - 47*x**5/30 + 17*x**4/6 + 5*x**3/3 + 539*x**2. Solve u(j) = 0.
-1/8, 1, 5
Let l(n) be the second derivative of -32 + 5/2*n**3 + 2*n - 2*n**4 + 75*n**2 + 3/20*n**5. Factor l(m).
3*(m - 5)**2*(m + 2)
Let n be ((-10)/(-4))/(65/130). Let k(o) be the first derivative of 0*o**n + 3 + 0*o + 0*o**2 + 1/2*o**4 - 1/3*o**6 + 0*o**3. Suppose k(c) = 0. What is c?
-1, 0, 1
Suppose -7*y + 3*y = 2*i + 36, 3*y = -4*i - 57. Let h = 47 + i. Factor -h*p + 20*p**2 - 57*p**3 - 50 + 31*p**3 + 31*p**3.
5*(p - 2)*(p + 1)*(p + 5)
Let y be ((-15)/2)/(51/(-68)). Factor 14*r - y*r**2 - 5*r**3 + 21*r**3 - 19*r**2 + 47*r**4 - 48*r**4.
-r*(r - 14)*(r - 1)**2
Suppose 5*i = -3*f - 24, 0*i + 2*f = -4*i - 20. Let v(u) = -5*u**2 - 67*u - 62. Let z(w) = -2*w - 2. Let p(q) = i*z(q) + v(q). Find a, given that p(a) = 0.
-10, -1
Let z = -2191061/7 - -313011. Suppose 4/7*y**2 - 48/7 + z*y = 0. What is y?
-6, 2
Let f(b) be the second derivative of b**6/105 + 5*b**5/14 + 45*b**4/14 - 25*b**3/21 - 136*b**2/7 + b - 226. Solve f(z) = 0.
-17, -8, -1, 1
Suppose 189/4*p**2 + 27/2*p + 27/4*p**5 + 0 - 249/4*p**3 - 21/4*p**4 = 0. Calculate p.
-3, -2/9, 0, 1, 3
Suppose 18888 = 666*h + 5630*h. Solve 8 - 18/5*p + 1/5*p**h - 3/5*p**2 = 0.
-4, 2, 5
Let x(t) be the first derivative of 2*t**4 + 131 - 16*t**2 - 4/5*t**5 + 0*t + 16/3*t**3. Factor x(r).
-4*r*(r - 2)**2*(r + 2)
Let d(g) be the third derivative of g**6/72 + 29*g**5/36 + 655*g**4/72 - 805*g**3/18 + 860*g**2. Determine t so that d(t) = 0.
-23, -7, 1
Let t = 7311 - 7307. Let x(v) be the first derivative of 1/5*v**t + 12/5*v - 2*v**2 + 4/15*v**3 + 3. Find b, given that x(b) = 0.
-3, 1
Let z(d) = 11*d + 57. Let l be z(-5). Let y(q) be the second derivative of -9*q + 0 + 1/6*q**3 + 0*q**l + 0*q**4 - 1/20*q**5. Factor y(x).
-x*(x - 1)*(x + 1)
Factor -242/3*y**3 - 792 + 2880*y - 2574*y**2.
-2*(y + 33)*(11*y - 6)**2/3
Let z(o) = -o**2 - o + 2. Let d(f) = 13*f - 36*f + 7*f + 14*f + 1 + 1. Let w(a) = -15*d(a) + 3*z(a). Find k such that w(k) = 0.
1, 8
Suppose 29*v - 24792 + 3680 = 0. Solve i**2 - v*i + 52*i**2 + 158 + 282 + 236 - i**3 = 0.
1, 26
Let h(o) = 41*o**2 - 5629*o + 5367. Let z(r) = 19*r**2 - 2815*r + 2694. Let k(v) = 6*h(v) - 13*z(v). What is w in k(w) = 0?
1, 2820
Let n(g) be the first derivative of 143/2*g**2 + 1/16*g**4 + 225 - 338*g + 25/6*g**3. Let n(h) = 0. What is h?
-26, 2
Let c(t) = 2*t**3 + 2*t**2 - 34*t - 34. Let m(v) = -30*v**3 - 5*v**2 + 44 + 57 + 11*v**3 + 13*v**3 + 102*v. Let n(d) = 11*c(d) + 4*m(d). Factor n(s).
-2*(s - 5)*(s + 1)*(s + 3)
Let h(i) be the third derivative of -4*i**7/315 - 94*i**6/9 + 1883*i**5/90 - 157*i**4/12 + 105*i**2 + 2*i + 4. Find w, given that h(w) = 0.
-471, 0, 1/2
Let s(h) be the second derivative of h**6/10 - 9*h**5/20 - 7*h**4/4 + 15*h**3/2 + 27*h**2 + 722*h. Find c such that s(c) = 0.
-2, -1, 3
Let l(u) be the third derivative of u**6/180 - 13*u**5/105 + u**4/4 - 53*u**3/3 - 4*u**2 + 13*u. Let m(r) be the first derivative of l(r). Factor m(i).
2*(i - 7)*(7*i - 3)/7
Let s(a) = -a**3 - 11*a**2 - 98*a - 715. Let f be s(-9). Let x(p) be the first derivative of 0*p**2 + 1/3*p**4 - 2/9*p**3 + 0*p + 13 - 2/15*p**f. Factor x(c).
-2*c**2*(c - 1)**2/3
Let v = 54/49 - 59/98. Let i be (1 - 2)/(-2)*(5 + -1). Let -v*x**i + 1/2*x**4 + 1/2*x**3 - 1/2*x + 0 = 0. Calculate x.
-1, 0, 1
Let d(s) be the first derivative of 145*s**3 + 315/2*s**4 + 30 - 190*s**2 + 60*s - 49*s**5. What is q in d(q) = 0?
-1, 2/7, 3
What is x in -31/10*x**2 - 1/10*x**3 + 192/5 + 22/5*x = 0?
-32, -3, 4
Let c(h) be the first derivative of h**4/8 + 3*h**3/2 - 11*h**2/2 - 231. Solve c(i) = 0.
-11, 0, 2
Let n be (6184/180882)/(0 + ((-4)/(-26) - 0)). Factor -50 + 52/9*w**2 - n*w**4 - 8/9*w**3 + 40/3*w.
-2*(w - 3)**2*(w + 5)**2/9
Factor -2*h**4 + 797*h**2 - 3358 + 83*h**3 - 1633*h**2 - 5888*h + 39*h**3 - 832*h**2 - 738.
-2*(h - 32)**2*(h + 1)*(h + 2)
Let i = 533 + -712. Let a = i + 2329/13. Let -16/13*f + 8/13 - a*f**3 + 10/13*f**2 = 0. What is f?
1, 2
Let o(l) be the third derivative of -89*l**6/40 - 177*l**5/10 - 259*l**4/8 + 3*l**3 + 2122*l**2. Factor o(k).
-3*(k + 1)*(k + 3)*(89*k - 2)
Let n(q) be the second derivative of q**7/63 + 2*q**6/45 - 8*q**5/15 - q**4/9 + 5*q**3/3 + 561*q. Find g such that n(g) = 0.
-5, -1, 0, 1, 3
Solve -124*l**2 + 15872*l - 15872*l - 4*l**3 = 0.
-31, 0
What is k in -136/7 - 40/7*k**2 - 356/7*k = 0?
-17/2, -2/5
Let w(u) = -u**2 - 52*u - 3. Let m(g) = -9*g**2 + 3 + 0 + 10*g**2 + 32*g - 33*g. Let v(s) = -3*m(s) + w(s). Find r such that v(r) = 0.
-12, -1/4
Factor -9838348*y - y**3 - 2909662*y + 8466*y**2 + 5678318592 + 30*y**2 + 717674*y - y**3.
-2*(y - 1416)**3
Let u(i) be the first derivative of 83*i**2/2 - 664*i + 547. Let w be u(8). Let 16/7*c**2 + w*c + 0 - 18/7*c**3 + 2/7*c**4 = 0. What is c?
0, 1, 8
Factor 529*n - 1059/2 + 1/2*n**2.
(n - 1)*(n + 1059)/2
Let a be 80/(-45)*-3 + -2 + -3. Let p(y) be the first derivative of 56/3*y**3 + 3*y**4 - 30 + 0*y - a*y**6 + 24*y**2 - 6/5*y**5. Factor p(k).
-2*k*(k - 3)*(k + 2)**3
Let i(g) be the third derivative of g**5/80 + 7*g**4/16 - 147*g**3/8 + 3345*g**2. Suppose i(l) = 0. Calculate l.
-21, 7
Let d(l) = -l**2 + 4*l + 120. Let n be d(-14). Let g be 75/108 - (-33)/n. Suppose 0 + 1/3*x**3 + 2/9*x**4 - 4/9*x**2 - 1/9*x**5 - g*x = 0. Calculate x.
-1, 0, 2
Factor -324*k**3 - 37*k + 51*k + 310*k**3 - 18*k**2 + 2*k**4 + 16.
2*(k - 8)*(k - 1)*(k + 1)**2
Let i = 130415/2 - 912897/14. Factor -i*b**3 + 0 + 16/7*b**2 - 12/7*b.
-4*b*(b - 3)*(b - 1)/7
Let t be (-18)/(-8) - 49/196. Suppose w + 3 = 6. Determine n so that -2/9*n**5 + 0*n**t + 0*n**4 + 0 + 0*n + 2/9*n**w = 0.
-1, 0, 1
Let h(c) be the second derivative of -4*c**6/195 + 59*c**5/130 - 137*c**4/78 + 58*c**3/39 + 24*c**2/13 - 690*c. Find l, given that h(l) = 0.
-1/4, 1, 2, 12
Let j(h) be the second derivative of -h**4/12 + 4*h**3/3 + 11*h**2/2 + h. Let o be j(6). Factor -3*g - 5*g - 12*g**2 - o*g**2 + 7*g**2.
-4*g*(7*g + 2)
Let w(i) be the first derivative of -i**4/4 + 675*i**3 - 513084*i**2 + 1024144*i + 5771. Find z such that w(z) = 0.
1, 1012
Let f(m) = -74*m**2 - 781*m - 770. Let a(h) = -53*h**2 - 521*h - 513. Let y(l) = 7*a(l) - 5*f(l). Factor y(n).
-(n - 259)*(n + 1)
Factor 32/7*a - 4/7*a**3 - 8/7*a**2 + 0.
-4*a*(a - 2)*(a + 4)/7
Let i(u) be the first derivative of 7*u**6/90 + u**5/5 - u**4/6 + 4*u**3 - 146. Let x(s) be the third derivative of i(s). Find g, given that x(g) = 0.
-1, 1/7
Let v(m) be the second derivative of m**5/5 + 13*m**4/3 - 58*m**3/3 + 30*m**2 + 4*m - 206. What is h in v(h) = 0?
-15, 1
Let t(s) be the first derivative of 2*s**6/3 - 528*s**5/5 - 2*s**4 + 352*s**3 + 2*s**2 - 528*s - 4940. Determine z so that t(z) = 0.
-1, 1, 132
Let f(h) be the first derivative of -2*h**3/27 + 1640*h**2/9 - 1344800*h/9 + 7741. Solve f(j) = 0 for j.
820
Factor 6810*d + 48107 - 305752 - 138*d**2 + 93*d**2.
-5*(3*d - 227)**2
Let q(y) = -5*y**4 - 106*y**3 - 269*y**2 + 2397*y - 2886. Let j(z) = -2*z**3 - 3*z**2 - z - 2. Let k(t) = 3*j(t) - q(t). Factor k(c).
5*(c - 2)**2*(c + 12)**2
Let x(m) 