7, -4*m + 9352 = 4*d. Let l(n) = -n**3 - 16*n**2 - 14*n + 17. Let a be l(-15). Factor 4*o**2 - 2339 + a*o**3 - 6*o + m.
2*o*(o - 1)*(o + 3)
Let j(u) be the second derivative of 1/2*u**3 + 0 - 193*u + 1/72*u**4 - 19/12*u**2. Factor j(f).
(f - 1)*(f + 19)/6
Let z be 0 - 27 - (-464 + 434). Find b, given that 143/2*b - 121/2 - 23/2*b**2 + 1/2*b**z = 0.
1, 11
Let w(d) = 13*d - 43. Let h be w(13). Suppose 0 = -h*a + 119*a. Factor 2/3*p**3 + 0*p + a*p**2 + 0.
2*p**3/3
Let u(c) be the first derivative of 5/7*c**2 + 2/7*c**3 - 2/35*c**5 - 1/14*c**4 + 4/7*c - 36. Factor u(j).
-2*(j - 2)*(j + 1)**3/7
Let 4/7*t**2 + 10061584/7 - 12688/7*t = 0. Calculate t.
1586
Let b(w) be the second derivative of -90 + 61/3*w**4 + 72*w**2 + 2*w + 2/15*w**6 - 56*w**3 - 14/5*w**5. Let b(r) = 0. What is r?
1, 6
Let i(v) be the first derivative of -3*v**4/4 - 11*v**3 + 171*v**2 - 648*v + 1701. Suppose i(r) = 0. Calculate r.
-18, 3, 4
Let v = -155 + 159. Let m(s) = -s**3 + 4*s**2 - 2*s - 1. Let j be m(2). Factor 20*z**3 - 6*z - 8*z**j + 5*z**4 - z**v - 10*z.
4*z*(z - 1)*(z + 2)**2
Let q be (-2)/((-8)/28556) + (10 - 5). Let g = -35531/5 + q. Factor 3/5*o**3 + g*o + 147/5 + 9*o**2.
3*(o + 1)*(o + 7)**2/5
Find x, given that 52/3*x**2 + 1/3*x**3 - 1/3*x - 52/3 = 0.
-52, -1, 1
What is r in -662/9 + 661/9*r**2 - 221/3*r**3 + 221/3*r + 1/9*r**4 = 0?
-1, 1, 662
Let r(a) be the first derivative of a**5/50 - a**4/15 - 7*a**3/5 - 18*a**2/5 - 42*a - 131. Let n(j) be the first derivative of r(j). Factor n(c).
2*(c - 6)*(c + 1)*(c + 3)/5
Let x be (3146/(-117))/(-11) - (-60)/108. Factor 64/5*h - 32/5 + 38/5*h**2 + h**x.
(h + 4)**2*(5*h - 2)/5
Let p(c) be the second derivative of -c**6/360 - c**5/20 - 3*c**4/8 - c**3/2 + 5*c**2 + 2*c - 4. Let l(z) be the second derivative of p(z). Factor l(m).
-(m + 3)**2
Let i(l) = 2*l**3 - 46*l**2 + 229*l - 306. Let a be i(4). Solve -21/2*u**a - 10 - 1/4*u**4 + 11/4*u**3 + 17*u = 0 for u.
2, 5
Let p be (-8 - 4)*4/12. Let c be p/((-72)/51) - (7 - 5). Suppose -q + 1/6*q**3 + 0 - c*q**2 = 0. What is q?
-1, 0, 6
Let c(y) be the first derivative of -2*y**5/15 + 293*y**4/6 - 43216*y**3/9 + 21316*y**2/3 + 1087. Suppose c(s) = 0. What is s?
0, 1, 146
Let n = -545 + 550. Let h(q) be the second derivative of -1/42*q**4 + 0*q**2 - 1/35*q**6 + 16*q + 0 + 0*q**3 + 2/35*q**n. Solve h(f) = 0 for f.
0, 1/3, 1
Let l(h) be the first derivative of -h**6/12 - 41*h**5/10 + 6*h**4 + 124*h**3/3 - 44*h**2 - 168*h - 7010. Find i, given that l(i) = 0.
-42, -2, -1, 2
Let r(g) = 25*g + 7. Let j be r(-3). Let z = j - -76. Factor -4 + 4*m**2 - z*m**2 + 0*m**2 - 8*m.
-4*(m + 1)**2
Let g(t) be the first derivative of -2*t**3/21 - 113*t**2/7 - 444*t/7 - 3829. Find x, given that g(x) = 0.
-111, -2
Suppose 7*a = -2847 - 1059. Let m = -558 - a. Factor 2/15*k**3 + m + 2/15*k**2 - 4/5*k.
2*k*(k - 2)*(k + 3)/15
Let y be 18/3 + (1 - -61*(-6)/54). Factor 50 - 20/3*g + y*g**2.
2*(g - 15)**2/9
Suppose -101*j + 0 - 1 = -1. Let t(g) be the third derivative of g**4 + 0*g + 24*g**3 + j + 1/60*g**5 + 31*g**2. Let t(l) = 0. Calculate l.
-12
Factor -1/3*c**3 + 170*c - 509/3*c**2 + 0.
-c*(c - 1)*(c + 510)/3
Let m(g) be the second derivative of -g**6/120 - 5*g**5/16 + 7*g**4/12 + 13*g**3/6 - 530*g - 2. Suppose m(a) = 0. Calculate a.
-26, -1, 0, 2
Let 1/7*z**4 - 3/7*z**2 - 11*z**3 + 229/7*z + 22 = 0. Calculate z.
-1, 2, 77
Let c(v) be the third derivative of -49*v**6/30 - 1505*v**5/3 - 2144*v**4/3 - 408*v**3 - 133*v**2 + v. Factor c(w).
-4*(w + 153)*(7*w + 2)**2
Let -5*b**5 + 360*b**3 - 90*b**4 + 330*b**2 - 321*b**2 + 610*b + 961*b**2 - 85*b = 0. What is b?
-21, -1, 0, 5
Let x(t) be the second derivative of -3 + 17/33*t**3 - 18/11*t**2 + 1/66*t**4 - t. Factor x(d).
2*(d - 1)*(d + 18)/11
Suppose 3*w = -h - 24, -69*h + 72*h + 3*w + 24 = 0. Let u be (-4)/10 - 8/(-20). Factor -16/3*p**2 + u - 484/3*p**4 + 176/3*p**3 + h*p.
-4*p**2*(11*p - 2)**2/3
Let q(o) be the first derivative of -49*o**4/48 + o**2/2 - 57*o + 81. Let f(n) be the first derivative of q(n). Factor f(x).
-(7*x - 2)*(7*x + 2)/4
Let q be ((-2)/3)/((-4)/174). Let v = -25 + q. Factor -90 + 0*z**2 + v*z**3 + 90 - 4*z**2.
4*z**2*(z - 1)
Let y(j) be the first derivative of j**5/90 + j**4/9 + 4*j**3/9 + 14*j**2 - 4*j + 25. Let n(f) be the second derivative of y(f). Solve n(t) = 0 for t.
-2
Let r = -1412 - -820. Let b be (-15)/9 + r/(-240). Factor b - 22/5*f**2 - 18/5*f.
-2*(f + 1)*(11*f - 2)/5
Let i(f) be the first derivative of -5 + 10*f**3 - 9/2*f**4 + 0*f - 7*f**2 + 2/5*f**5. Find w, given that i(w) = 0.
0, 1, 7
Let g(w) be the third derivative of 7/6*w**5 + 0 - 37*w**2 + w**4 - 1/5*w**6 - 12*w**3 + 1/105*w**7 + 0*w. Factor g(o).
2*(o - 6)**2*(o - 1)*(o + 1)
Let l(w) be the first derivative of 45 + 1/2*w**3 - 6*w**2 + 21/2*w. Factor l(s).
3*(s - 7)*(s - 1)/2
Let a(l) be the third derivative of -l**8/672 - l**7/21 + 3*l**6/5 - 151*l**5/60 + 257*l**4/48 - 13*l**3/2 - 420*l**2. Factor a(i).
-(i - 3)*(i - 1)**3*(i + 26)/2
Let h be (0 + (-91)/2)*(24 - 676/28). Solve 3 - 5/2*d**2 + h*d = 0 for d.
-2/5, 3
Factor 102/5*u**2 - 138/5 + 224/5*u + 4/5*u**3.
2*(u + 3)*(u + 23)*(2*u - 1)/5
Let v(t) = -436*t + 117722. Let x be v(270). Factor 0 + 0*i - 4/3*i**x + 10/3*i**4 - 7/3*i**5 + 1/3*i**3.
-i**2*(i - 1)**2*(7*i + 4)/3
Suppose -o + 2*w = -74, -6*o + w + 289 = -2*o. Let v be o/24 + 1/(-2). Solve -2*a**2 + 8*a**3 - v*a**4 - 7/2*a**5 + 0 + 0*a = 0.
-2, 0, 2/7, 1
Factor 188/5*a**3 + 2/5*a**4 + 4224/5*a**2 - 9216/5*a + 0.
2*a*(a - 2)*(a + 48)**2/5
Let w(t) be the first derivative of 10*t**3/27 - 71*t**2/18 - 8*t - 1001. Factor w(u).
(u - 8)*(10*u + 9)/9
Let k(q) = 14993*q - 89956. Let l be k(6). Factor -72/5*r**4 + 0*r**l + 6/5*r**5 + 0*r + 0 + 216/5*r**3.
6*r**3*(r - 6)**2/5
Let p(k) be the third derivative of -k**5/120 + 65*k**4/24 - 43*k**3/4 - 566*k**2. Factor p(d).
-(d - 129)*(d - 1)/2
Let u(t) = 3*t**3 + 24*t**2 + 4. Let o be u(-8). Let w be o/(-11) - 1950/(-825). Find f such that w*f - 2/3*f**3 + 0*f**2 + 4/3 = 0.
-1, 2
Factor -2/7*j**3 - 281216/7 - 16224/7*j - 312/7*j**2.
-2*(j + 52)**3/7
Let m = 256579 + -256577. Find n such that -1/2*n**m + 0 + n = 0.
0, 2
Let h(u) be the third derivative of u**8/84 - 2*u**7/35 - 29*u**6/30 + u**5/5 + 14*u**4/3 - 16*u**2. Determine m, given that h(m) = 0.
-4, -1, 0, 1, 7
Let b(y) = -11*y**3 + 1151*y**2 - 731*y + 315. Let s be b(104). Factor -24/7 + 51/7*l**2 + 54/7*l + 9/7*l**s.
3*(l + 2)*(l + 4)*(3*l - 1)/7
Let n(m) be the second derivative of m**5/8 + 223*m**4/24 - 19*m**3 - 41*m + 35. Factor n(f).
f*(f - 1)*(5*f + 228)/2
Let c(m) be the second derivative of -m**4/72 + 29*m**3/36 - 15*m**2 + 116*m. Determine a, given that c(a) = 0.
9, 20
Let f(h) be the third derivative of -h**7/525 - 7*h**6/300 - h**5/15 + 129*h**2 - 6*h. Factor f(m).
-2*m**2*(m + 2)*(m + 5)/5
Find m such that -288/7 - 136/7*m**2 + 360/7*m + 2/7*m**4 + 10/7*m**3 = 0.
-12, 2, 3
Let r(u) = 615*u**2 - 489*u - 9. Let c(n) = -1230*n**2 + 1018*n + 17. Let l(v) = 3*c(v) + 5*r(v). Factor l(x).
-3*(x - 1)*(205*x + 2)
Let u(y) be the first derivative of -209 - 15*y**3 - 35/4*y**4 - y**5 + 135/2*y**2 + 270*y. Let u(i) = 0. What is i?
-3, 2
Let g(p) = p**3 - 10*p**2 - 7*p - 15. Let t be g(11). Let f = 51 - t. Factor 1 - f + 5*z**2 + 11 + 0*z - 5*z.
5*(z - 2)*(z + 1)
Let -4*t**2 - 65*t + 21*t - 151*t - 37*t - 3364 = 0. What is t?
-29
Let r = -1942 - -817. Let l = r - -10127/9. Factor -10/9*p**2 + 2 - 2/3*p - l*p**3.
-2*(p - 1)*(p + 3)**2/9
Let w = -1579/31490 + 9/134. Let k = w - -137/235. Factor -k*q**2 + 0 + 6*q.
-3*q*(q - 10)/5
Let b(f) be the second derivative of f**4/6 + 206*f**3/3 + 205*f**2 + 3409*f. Factor b(z).
2*(z + 1)*(z + 205)
Let v(x) be the third derivative of -x**8/20160 - x**7/504 - x**6/80 + 9*x**5/10 + 42*x**2. Let c(u) be the third derivative of v(u). Factor c(o).
-(o + 1)*(o + 9)
Let f(w) = -3*w**2 - 168*w + 588. Let k be (-92)/22*1 + (-168)/(-924). Let s(u) = u**2 + 42*u - 147. Let n(i) = k*f(i) - 15*s(i). Suppose n(p) = 0. Calculate p.
7
Let q(z) be the first derivative of -3/4*z - 1/4*z**2 - 18 + 1/12*z**3. Suppose q(a) = 0. What is a?
-1, 3
Let q = -225012/7 + 32148. Let m(w) be the first derivative of 5 + 2/7*w**3 + 3/28*w**4 - 6/7*w**2 - q*w. Find y, given that m(y) = 0.
-2, 2
Suppose 4*y + 2*j = -10 - 4, 0 = -y - 3*j - 16. Let b be -1*