1)**2*(x + 3)
Suppose -5*z = -2*s + 4*s - 38, 4*s = -5*z + 46. Let l = 3 - 1. Factor -177*a**l - z + 3*a + 359*a**2 - 179*a**2.
3*(a - 1)*(a + 2)
Let p(v) = 3*v + 7. Let u be p(6). Let z(a) = -a**3 + 24*a**2 + 24*a + 28. Let l be z(u). What is c in 80 - 2*c + 0*c + 4*c**3 - 58*c + c**l = 0?
-4, 2
Let c(d) = -d**2 - 156*d - 152. Let q be c(-155). Find w, given that -1/2*w**5 - 1 - w**2 + 5/2*w - 2*w**q + 2*w**4 = 0.
-1, 1, 2
Let c(s) = -2*s**2 - 12*s - 21. Let z(j) be the first derivative of 9 + 8/3*j**3 + 24*j**2 + 85*j. Let b(g) = 26*c(g) + 6*z(g). Factor b(n).
-4*(n + 3)**2
Let y(i) be the third derivative of -i**8/47040 - i**7/5880 - i**5/20 - 134*i**2. Let f(b) be the third derivative of y(b). Factor f(a).
-3*a*(a + 2)/7
Let v(s) be the first derivative of s**4/5 + 298*s**3/45 + 86*s**2/5 + 46*s/3 + 655. Determine u, given that v(u) = 0.
-23, -1, -5/6
Let s be (-1)/(-1)*(7 + 6 + -11). Factor -9 + 0 - 36*p**s - 26*p + 39*p**2.
(p - 9)*(3*p + 1)
Let d(p) be the third derivative of -19/42*p**4 + 0*p - 2*p**2 + 8/7*p**3 - 19/70*p**5 - 32 + 1/84*p**6. Suppose d(z) = 0. What is z?
-1, 2/5, 12
Let p(v) be the third derivative of v**7/420 - 7*v**6/30 + 27*v**5/20 - 10*v**4/3 + 53*v**3/12 - 9807*v**2. Suppose p(k) = 0. Calculate k.
1, 53
Let j be 18/(-7)*(-1010)/2020. Factor 0 + j*a - 3/7*a**3 + 6/7*a**2.
-3*a*(a - 3)*(a + 1)/7
Let p(q) be the third derivative of -q**6/1980 + 7*q**5/165 - 49*q**4/33 - 97*q**3/2 - 2*q**2 + q. Let s(i) be the first derivative of p(i). Factor s(w).
-2*(w - 14)**2/11
Let a(i) = -i**3 + i. Let w(k) = -5*k**3 + 25*k**2 - 42*k. Let m(h) = -4*a(h) + w(h). Find l, given that m(l) = 0.
0, 2, 23
Let b be ((-8397)/24258)/((-1)/13). Factor 3/4*d**4 - b*d**2 + 0*d**3 + 6*d - 9/4.
3*(d - 1)**3*(d + 3)/4
Suppose -27 = -5*k - 3*i, 4*k = 2*k + 4*i - 10. Let p(z) be the first derivative of 0*z - 12 + 3/28*z**4 - 5/7*z**k - 9/7*z**2. Solve p(w) = 0.
-1, 0, 6
Let -25*s**5 - 1170*s**3 + 0 + 3666*s**4 + 3670*s**4 - 6331*s**4 + 0 = 0. What is s?
0, 6/5, 39
Let x(r) be the third derivative of r**8/784 + r**7/35 - 6*r**6/35 + 5*r**5/14 - 17*r**4/56 - 2*r**2 - 879. Factor x(q).
3*q*(q - 1)**3*(q + 17)/7
Let q(o) be the third derivative of -1/72*o**6 + o**3 + 0 + 0*o**4 + 0*o - 1/12*o**5 + 12*o**2. Let i(r) be the first derivative of q(r). Solve i(v) = 0.
-2, 0
Let i(h) = 4*h**2 + 44*h + 45. Let m be i(-10). Let q(u) be the first derivative of 11/5*u**3 + 21/25*u**m + 3/5*u**2 + 12/5*u**4 - 17 + 0*u. Factor q(l).
3*l*(l + 1)**2*(7*l + 2)/5
Let n(g) be the first derivative of -21 + 361/26*g**4 + 16/13*g - 148/13*g**2 + 1292/39*g**3. Let n(f) = 0. Calculate f.
-2, 2/19
Let i(g) be the first derivative of -g**3/3 + 12*g - 14. Let h be i(3). What is s in 4*s**5 + 13*s**3 - h*s**5 - 12*s**3 + 2*s**4 = 0?
-1, 0
Let g(i) be the second derivative of i**5/15 + 79*i**4/18 - 41*i**3/9 - 40*i**2/3 - 1007*i. Determine l so that g(l) = 0.
-40, -1/2, 1
Suppose -215 = -9*h + 4*h. Suppose -19*z + 1452 = 2*z + 444. Factor 29*o**4 + 12 - h*o**4 + 63*o**3 + 24*o + 111*o**2 + 26*o**4 + z*o.
3*(o + 1)*(o + 2)**2*(4*o + 1)
Let w(x) be the third derivative of 0*x**4 + 1/168*x**8 + 0*x**3 + 0*x**5 + 3*x**2 + 28 + 0*x - 1/35*x**7 + 1/30*x**6. Factor w(b).
2*b**3*(b - 2)*(b - 1)
Let w be (11/(-2) - 2)/((-12)/(-82)). Let x = 623/12 + w. Factor 0 - 1/3*g - 1/3*g**3 + x*g**2.
-g*(g - 1)**2/3
Let u(y) = 17*y - 200. Let w be u(12). Let o(x) = -5*x**2 - 40*x + 540. Let m(p) = -p**2 - 7*p + 90. Let h(z) = w*o(z) - 25*m(z). Factor h(i).
5*(i - 3)*(i + 6)
Suppose -71*n - 89*n - 100489 - 144*n - n**2 - 330*n = 0. What is n?
-317
Let p(y) be the second derivative of y**3/2 - 9*y**2/2 - 11*y. Let c be p(4). Determine b so that 3*b - 11*b**2 - 3*b**c - 5 + 2 + 14*b**2 = 0.
-1, 1
Let j(s) be the first derivative of 3*s**4/20 - 113*s**3/5 + 669*s**2/10 - 333*s/5 + 962. Suppose j(f) = 0. What is f?
1, 111
Let g be (-6)/(-2) + 16/(-12). Suppose u + 3 = 3*p, 3*p + 13*u = 17*u - 6. Determine f so that -1/3*f**3 - 1 - g*f**p - 7/3*f = 0.
-3, -1
Let q be 2/17 - (48289/(-5848) + 8). Factor 1/8*f**5 + 0*f**4 - 1/4*f**2 + 0 - q*f**3 + 0*f.
f**2*(f - 2)*(f + 1)**2/8
Let d = 92 + -88. Suppose i = 3*v + d, -3 + 7 = i + 2*v. Find s, given that 0 + 5/2*s**3 + 1/2*s**4 + 2*s + i*s**2 = 0.
-2, -1, 0
Let n(u) = 16*u - 601. Let r be n(38). Suppose 0 = r*s - 2*s - 10. Factor 4*v - 1/2*v**s - 8.
-(v - 4)**2/2
Let f = 6740 - 6709. Let q(w) be the second derivative of 0*w**2 - f*w - 1/10*w**6 + 0*w**4 + 0*w**3 - 3/20*w**5 + 0. Factor q(a).
-3*a**3*(a + 1)
Let q(a) = -5*a**2 + 1642*a - 3. Let o(r) = 9*r - 1. Let d(f) = -3*o(f) + q(f). Suppose d(p) = 0. Calculate p.
0, 323
Suppose 0 = 3*g - 3*s + 5 + 28, 8 = -13*g + 4*s. Factor g*r**2 + 0*r + 0 + 2/3*r**3.
2*r**2*(r + 6)/3
Let 1012*j**3 + 21*j - 3276*j**2 + 498*j + 261*j + 356*j - 12*j**4 - 648 + 1788*j = 0. What is j?
1/3, 1, 2, 81
Suppose 4*y + s - 22 = 2*s, -y + 11 = -3*s. Suppose 0 = k + n - 9, -5 = -y*k + 12*n - 9*n. Suppose -2/5*u**2 + k*u - 10 = 0. What is u?
5
Suppose 1/3*a**3 - 66 + 47*a - 28/3*a**2 = 0. What is a?
3, 22
Let f(h) be the first derivative of -14*h**3 + 6*h**5 + 12*h - h**2 + 1/2*h**4 + 24. Suppose f(j) = 0. Calculate j.
-1, -2/3, 3/5, 1
Let g be (-139)/(14595/(-330)) - (-4 - -2 - 1). Factor -g*x + 3 + 23/7*x**2 - 1/7*x**3.
-(x - 21)*(x - 1)**2/7
Suppose 4*d = -h - 6, 0*d + 4*d = h - 10. Find g such that -49 - 41 + 4*g**h + 90 + 2*g**3 - 2*g**4 = 0.
-1, 0, 2
Let v be -1*(-64)/(-12)*-3*1. Solve -14*d**5 - 2*d**3 + 27*d**4 - 52*d**2 + 1121*d - 1113*d - 4*d**5 + 21*d**4 + v = 0.
-2/3, 1, 2
Let b(i) be the first derivative of -7*i**6/8 + 17319*i**5/20 + 2475*i**4/8 - 3698. Suppose b(c) = 0. What is c?
-2/7, 0, 825
Let o(t) be the third derivative of -t**6/24 + 77*t**5/12 - 95*t**4/6 + 1366*t**2. Let o(f) = 0. What is f?
0, 1, 76
Let i(m) be the first derivative of -3*m**4/4 + 42*m**3 - 120*m**2 + 3197. Factor i(o).
-3*o*(o - 40)*(o - 2)
Let m be (500/(-8) - -1)/((-3576)/44). Let v = m - 1/149. Factor 0 - 3*u + v*u**3 + 0*u**2.
3*u*(u - 2)*(u + 2)/4
Let n = -421793/3 - -140603. Factor -32/9*t - n - 4/9*t**2.
-4*(t + 2)*(t + 6)/9
Factor -8/7 + 3/7*f**2 - 6/7*f + 1/7*f**3.
(f - 2)*(f + 1)*(f + 4)/7
Let v(t) = 122*t + 2. Let b(w) = w**3 - 5*w**2 - 14*w + 1. Let a be b(7). Let z be v(a). Factor 5*g**3 + 4*g**4 - 25*g**3 - 20*g**3 + 144*g**2 - 16 - 216*g + z.
4*(g - 3)**3*(g - 1)
Suppose -1502/3*y + 1/3*y**2 + 564001/3 = 0. Calculate y.
751
Factor 248/3*l**3 - 51584*l + 259584/5 + 189704/15*l**2 + 2/15*l**4.
2*(l - 2)**2*(l + 312)**2/15
Let k(l) be the third derivative of -l**6/240 - l**5/20 - l**4/6 - l**2 + 8*l + 28. Suppose k(a) = 0. What is a?
-4, -2, 0
Solve -55/8*i - 147/4 - 1/8*i**2 = 0 for i.
-49, -6
Let o(n) be the third derivative of -n**6/24 - 29*n**5/3 - 575*n**4/24 + 38*n**2 - 8. Suppose o(p) = 0. What is p?
-115, -1, 0
Let s be 2/(-4) + (-15911)/(-322) - ((-3180)/(-460) - 7). Factor -2401/2 - 1/2*a**2 + s*a.
-(a - 49)**2/2
Let t(p) = 114*p - 72. Let c be t(6). Find y, given that -5*y**3 + 30*y**2 + 295*y + 20 + 272*y - c*y = 0.
1, 4
Let x(k) be the third derivative of 0*k**3 - 1/504*k**8 - 24*k**2 + 1/6*k**5 - 1/45*k**7 - 7/180*k**6 + 0 + 0*k**4 - k. Solve x(n) = 0 for n.
-5, -3, 0, 1
Let d(n) be the first derivative of -n**5/150 - 11*n**4/30 - 7*n**3/5 + 3*n**2/2 - 52. Let m(a) be the second derivative of d(a). What is p in m(p) = 0?
-21, -1
Suppose -456219/7*l**3 + 668739/7*l**2 + 9288/7*l**4 - 48/7*l**5 - 249408/7*l + 27648/7 = 0. Calculate l.
1/4, 1, 96
Let d(z) = -98*z**2 + 12773*z - 415982. Let u(t) = 49*t**2 - 6387*t + 208002. Let h(i) = 3*d(i) + 5*u(i). Factor h(p).
-(7*p - 456)**2
Let r(l) be the third derivative of -l**5/75 - 31*l**4/30 + 44*l**3/5 + l**2 + 300*l. Determine z, given that r(z) = 0.
-33, 2
Let m(y) = -y + 5. Let b(g) = -2*g**2 - 34*g - 7. Let n be b(-17). Let d be m(n). Find c such that c - 17*c + d*c**2 + 4*c**3 - 26*c**2 + 10*c**2 + 16 = 0.
-2, 1, 2
Let q(c) be the second derivative of -c**9/5040 + c**8/280 - 17*c**7/840 + c**6/24 - 11*c**4/2 - 4*c - 5. Let u(s) be the third derivative of q(s). Factor u(d).
-3*d*(d - 5)*(d - 2)*(d - 1)
Suppose 0 = -4*q + 27788 - 27780. Factor -q + 9/7*x - 1/7*x**2.
-(x - 7)*(x - 2)/7
Let s be 732/390 - ((-2310)/(-75) + -30). Determine y so that -s*y**3 + 54/13*y - 6