*n, -2*f + 4*n = -s. Factor -9*c**5 + 15*c**3 - 5*c - 24*c**f - 8*c**2 - 37*c**3 + 4*c.
-c*(c + 1)**2*(3*c + 1)**2
Factor 508*q - 506 + 438*q**2 + 435*q**2 - 1311*q**2 + 436*q**2.
-2*(q - 253)*(q - 1)
Let w = -17635819/48776 - 27/6968. Let s = 362 + w. Determine k so that -s*k**4 + 3/7*k**2 - 18/7*k - 3/7*k**5 + 0 + 3*k**3 = 0.
-3, -1, 0, 1, 2
What is a in -11/9*a**2 + 22/3*a - 4/9*a**3 + 1/9*a**4 - 8 = 0?
-4, 2, 3
Let w be 30545/369 + (-2)/(-9). Let n = -83 + w. Solve n - 4/5*c**2 - 12/5*c = 0.
-3, 0
Let a(s) be the first derivative of -33/5*s**2 - 18/5*s - 1/15*s**6 + 170 - 18/25*s**5 - 92/15*s**3 - 3*s**4. Suppose a(r) = 0. What is r?
-3, -1
Suppose -38*x + 175 = 61. Let v(q) be the first derivative of -2/3*q + 2/27*q**x + 2/9*q**2 + 23. Suppose v(m) = 0. Calculate m.
-3, 1
Determine g, given that -2189*g - 2*g**5 + 1024*g**4 - 2*g**5 - 1946*g**4 + 4928*g**2 + 1104*g**3 + 982*g**4 + 9101*g = 0.
-4, 0, 27
Let j = -3739/1230 + 126/41. Let u(f) be the third derivative of -1/36*f**6 + 0*f + 0 + 4/9*f**3 - 2*f**2 + j*f**5 + 1/3*f**4. Factor u(r).
-2*(r - 2)*(r + 1)*(5*r + 2)/3
Let f be (-2224)/(-168) + 1 + -13 - ((-119)/49 - -3). Suppose 2*b = -0*b + 4. Factor 0 - 2/9*u**3 + 8/9*u**b - f*u.
-2*u*(u - 3)*(u - 1)/9
Suppose 2*g + 1044 = 4*c, 4*c - 1933*g + 1939*g - 964 = 0. Factor 16*a + c + 1/4*a**2.
(a + 32)**2/4
Let p be ((3/9 - 0)/((-50)/(-750)))/((-20)/(-8)). Suppose 0 - 45/4*w**p + 21/4*w**3 + 27/4*w - 3/4*w**4 = 0. What is w?
0, 1, 3
Let x(w) be the third derivative of -14*w**2 + 0*w + 1/140*w**5 - 2/7*w**4 + 15/14*w**3 + 0. Factor x(j).
3*(j - 15)*(j - 1)/7
Suppose 3*j + 16 + 24 = 4*m, -1 = -3*m - 5*j. Factor 6*i + 0*i - 2 + 6*i + 35*i + m*i**2 - 12.
(i + 7)*(7*i - 2)
Let r(l) = 15*l**2 + 108*l + 105. Let g(d) = -56*d**2 - 432*d - 420. Let c(h) = 3*g(h) + 11*r(h). Let c(o) = 0. Calculate o.
-35, -1
Let t(q) = 14*q**2 + 8*q + 120. Let r be t(10). Let f = -1598 + r. Determine z, given that -4/5*z - 1/5*z**f - 4/5 = 0.
-2
Let d(g) be the second derivative of 2*g**3 - 5/3*g**4 + 1/5*g**5 + 0 + 18*g**2 - 2*g. Factor d(y).
4*(y - 3)**2*(y + 1)
Factor 14/9*r - 4/3 - 2/9*r**2.
-2*(r - 6)*(r - 1)/9
Let p(t) be the first derivative of -2*t**5/15 + 7*t**4/6 - 2*t**3 - 9*t**2 + 36*t - 904. Factor p(r).
-2*(r - 3)**3*(r + 2)/3
Factor -3/2 + 1/6*v**3 - 3/2*v + 1/6*v**2.
(v - 3)*(v + 1)*(v + 3)/6
Let t = 86 - 84. Suppose 4*a - 5*m = -0*m - t, -m = -a. Factor -2*d**2 - 2*d - 2*d + d + 5*d**a.
3*d*(d - 1)
Determine d, given that 4*d**2 + 8*d**2 + 13*d**2 - 23*d**2 - 1156923 - 3726*d - 5*d**2 = 0.
-621
Let y(k) be the third derivative of -5 - 1/84*k**8 - 1/2*k**6 + 7/15*k**5 + 0*k**3 + 6*k**2 + 0*k**4 + 6/35*k**7 + 0*k. Solve y(p) = 0 for p.
0, 1, 7
Let r(w) be the second derivative of 7/36*w**3 - 1/72*w**4 + 0*w**2 - 16*w + 0. Factor r(k).
-k*(k - 7)/6
Let h be ((-184368)/(-40080))/((-23)/(-10)). Let -8/3 + 8/3*k**h + 2/3*k - 2/3*k**3 = 0. What is k?
-1, 1, 4
Let v(b) be the third derivative of -b**5/20 - 111*b**4/8 + 56*b**3 + 1940*b**2. Determine c so that v(c) = 0.
-112, 1
Let i = 255 + -222. Suppose 0 = -18*s + 7*s + i. Factor -4/3*o**s + 1/3*o**4 + 1/3 + 2*o**2 - 4/3*o.
(o - 1)**4/3
Let p be (-4)/(-3)*(27/(-6) - -6). Factor 88*t**2 - 52*t**2 + 75*t**3 - 46*t**p.
5*t**2*(15*t - 2)
Let v(f) = -f**4 - 57*f**3 + 338*f**2 - 672*f + 380. Let c(w) = w**4 + w**2 + 1. Suppose -44*b + 84 = -23*b. Let n(d) = b*c(d) + v(d). Factor n(m).
3*(m - 8)**2*(m - 2)*(m - 1)
Factor 130050/19 + 2/19*y**2 - 1020/19*y.
2*(y - 255)**2/19
Let p(h) = h**2 + 3*h - 1. Let t be p(2). Determine o, given that 5*o - 3*o + t*o + 2*o**4 - 2*o**3 - 3*o - 8*o**2 = 0.
-2, 0, 1, 2
Suppose -3 = 8*g - 19. Let m = -31933 + 415137/13. Factor -m*s - 4/13*s**3 - 14/13*s**g + 8/13.
-2*(s + 2)**2*(2*s - 1)/13
Let r = 58763471/320943 + -16/15283. Let x = 1284/7 - r. Factor 1/3*o**5 - 1/3*o**2 + 0 + 0*o - 1/3*o**3 + x*o**4.
o**2*(o - 1)*(o + 1)**2/3
Let w be 26/(-78)*0/(-5 - -8). Let b(d) be the second derivative of 4*d - 20/3*d**3 + w + 1/3*d**4 + 18*d**2. Factor b(f).
4*(f - 9)*(f - 1)
Let v(n) be the third derivative of 54*n**2 + n + 0 + 3430/3*n**3 - 1225/24*n**4 - 1/42*n**7 + 17/24*n**6 - 21/4*n**5. Determine c, given that v(c) = 0.
-4, 7
Suppose 159*w**2 - 342*w**3 - 344*w**3 - 339*w**3 + 148877 + 8427*w - 342*w**3 + 1368*w**3 = 0. Calculate w.
-53
Suppose 3*y = -4*f + 102526, 4*f + 36742 = y + 2572. Solve 7144*t**2 - y - 770*t - 7149*t**2 + 4529 = 0 for t.
-77
Let j = 10975/8112 - 53/2704. Suppose -2/3*w**3 - j*w**2 + 0 + 10*w = 0. Calculate w.
-5, 0, 3
Find y such that -98*y - 2*y**3 + 102*y**2 - 85 - 58*y**2 + 241 + 300*y = 0.
-3, -1, 26
Suppose 7*u = 2*u - 4*d + 14, -4*u + 9 = d. Factor u*f + 21*f**2 - 24734 + 24734.
f*(21*f + 2)
Let c = -2294 + 2299. Let o be 1/(c/2*16/80). Factor 4/3*l + 1/3*l**4 - 5/3*l**3 - 8/3 + 2*l**o.
(l - 2)**3*(l + 1)/3
Let z be (-621)/(-345) + (-22)/(-10) + -2. Let x(v) be the first derivative of -2/21*v**3 - 18 - 6/7*v + 4/7*v**z. Factor x(n).
-2*(n - 3)*(n - 1)/7
Suppose 0 = -3*x - 9, 3*z - 3*x = -x + 12. Factor -5*p + 12*p**2 - z*p + 10 + 8*p**3 + 5*p**3 - 12*p**3 + 28*p.
(p + 1)**2*(p + 10)
Let f(i) = -67*i + 104. Let z be f(-8). Factor 1114*g**2 + 1309*g**2 + 46 + 1440*g**3 + 324*g**4 + z*g - 535*g**2 + 18.
4*(g + 2)**2*(9*g + 2)**2
Let j(y) be the third derivative of y**6/2160 - y**5/360 - 131*y**3/6 + 149*y**2. Let m(k) be the first derivative of j(k). Find t, given that m(t) = 0.
0, 2
Let g(m) be the first derivative of m**8/8400 - 7*m**6/1800 + m**5/100 - 40*m**3/3 - 65. Let n(k) be the third derivative of g(k). Find o, given that n(o) = 0.
-3, 0, 1, 2
Let f(i) = 1004*i + 10044. Let c be f(-10). Factor 0 - 2/3*p**c + 0*p + 10/3*p**2 - 8/3*p**3.
-2*p**2*(p - 1)*(p + 5)/3
What is l in -7 + 796*l**2 + 7 - 791*l**2 = 0?
0
Find t such that -1196700 - 416108 - 2*t**2 + 1306*t + 1715*t + 571*t = 0.
898
Let j(u) be the first derivative of u**4/28 + 128*u**3/7 + 765*u**2/14 + 382*u/7 - 11759. Factor j(h).
(h + 1)**2*(h + 382)/7
Let v = -317 - -605. Solve -135*m**2 + 133*m**2 - 31*m - 17*m - v = 0.
-12
Let q be (48 + 7)/11 + (-1)/1. Suppose 2*x = 2*m - m - 2, 4 = q*m - 4*x. Find s such that 1/4*s**2 + 0*s - 1/4*s**4 + 1/4*s**5 + m - 1/4*s**3 = 0.
-1, 0, 1
Let s(t) = -24*t**2 - 3117*t + 3113. Let a(m) = -21*m**2 - 3114*m + 3111. Let l(u) = 7*a(u) - 6*s(u). Suppose l(k) = 0. What is k?
-1033, 1
Let q(y) = y**2 + 6*y + 6. Let j be q(-5). Let x be (1/(-3) + j)*3. Solve -9*w - 4*w**3 - 2*w + 3*w**3 + 2*w - 6*w**x = 0 for w.
-3, 0
Let x(f) be the second derivative of -f**5/30 + 29*f**4/18 - 160*f**3/9 - 256*f**2 - 1671*f. Let x(z) = 0. Calculate z.
-3, 16
Let v(f) be the third derivative of 0*f**4 - 7/360*f**6 + 0*f**3 - 66*f**2 + 1/42*f**7 + 0 - 1/112*f**8 + 1/180*f**5 + 0*f. Suppose v(w) = 0. Calculate w.
0, 1/3, 1
Suppose -541*y + 2652 = 238*y + 315. Factor 22/3*l + 2/3*l**y - 8*l**2 + 0.
2*l*(l - 11)*(l - 1)/3
Let m be 9/(-4) - 297/396. Let b be m/(-4)*(-252)/(-210). Find u, given that b*u - 8/5*u**2 - 3/5*u**4 + 7/5*u**3 + 1/10*u**5 - 1/5 = 0.
1, 2
Let p(d) be the third derivative of -d**8/210 - d**7/60 + d**6/90 + 41*d**3/2 - 9*d**2. Let u(v) be the first derivative of p(v). Solve u(h) = 0 for h.
-2, 0, 1/4
Let b = 68/121 - 83/363. Suppose -1 - 14 = -3*i. Let 0*l + 0 + 4/3*l**2 - 1/3*l**i - b*l**4 + 4/3*l**3 = 0. What is l?
-2, -1, 0, 2
Let i(b) be the third derivative of -b**8/336 + 2*b**7/105 + 59*b**6/120 - 37*b**5/30 - 140*b**4/3 - 784*b**3/3 + 29*b**2 - 3. Suppose i(j) = 0. Calculate j.
-4, -2, 7
Let f(p) = -336*p**2 + 76*p. Let m(d) = -2*d**2 - 15*d. Let w(z) = f(z) + 5*m(z). Find y such that w(y) = 0.
0, 1/346
Let x(w) = -w + 6. Let j be x(5). Let b be 12/((5/3)/((-24)/(576/(-10)))). Suppose 6*v**4 + j + 2*v**b + 3/2*v - 7*v**2 - 7/2*v**5 = 0. What is v?
-1, -2/7, 1
Suppose 2*p = -2*r + 30, -4*r = -7 + 27. Let u be ((24/p)/1)/(3/15). Find b such that -14*b**2 - u*b**3 - 32/3*b - 8/3 = 0.
-1, -2/3
Let b be 0/((-14 - -4)/(-10)). Let k(y) be the first derivative of 1/12*y**2 + b*y - 1/18*y**3 - 1/12*y**4 + 12. Factor k(w).
-w*(w + 1)*(2*w - 1)/6
Suppose 85*c + 11 - 47 = 61 + 73. Factor -11/2*k + 1/2*k**c + 14.
(k - 7)*(k - 4)/2
Let j be (2/(-1))/(1/2). Let c be (-3 - j)/(-4 + (-9)/(-2)). What is v in -2/3*v + 1/2 + 1/6*v**c = 0?
1, 3
Let m(x) = 4*x**3 + x**