4*t**4 + 0*t**k - t**5 + 42 = 0.
-2, -1
Let m(u) = -u**5 + 19*u**4 + 8*u**3 + 6*u**2 - 6. Let z(f) = -4*f**5 + 75*f**4 + 33*f**3 + 23*f**2 - 23. Let a(o) = -23*m(o) + 6*z(o). What is d in a(d) = 0?
-1, 0, 14
Let a(f) = -2 + 14 + 0 - 11*f + 12*f. Let w be a(-10). Factor 13*d**3 + 20 - 5*d**4 + 12*d**3 - d**w + 165*d + 6*d**2 - 205*d - 5*d**5.
-5*(d - 1)**3*(d + 2)**2
Let y = 7725 + -7723. Let x(l) be the first derivative of 21 - 4/5*l**y - 4/5*l**3 - 2/5*l - 2/25*l**5 - 2/5*l**4. Factor x(r).
-2*(r + 1)**4/5
Suppose 0 = -11*b + 48 - 169. Let y be -6 - (-2 + (-4)/(-8)*b). Factor 0*u + 0 - 3/2*u**2 + y*u**3.
3*u**2*(u - 1)/2
Factor 0 + 6492/5*w + 2/5*w**2.
2*w*(w + 3246)/5
Let t(p) = -16*p - 654. Suppose 37*b = -6*b - 1763. Let m be t(b). Find a, given that 3/7*a**3 + 33/7*a - 18/7 - 18/7*a**m = 0.
1, 2, 3
Let u be (-25)/(-50)*4*9/6. Let v(a) be the first derivative of -2/7*a**4 + 0*a + 2/35*a**5 + 8/21*a**u + 0*a**2 + 6. Factor v(n).
2*n**2*(n - 2)**2/7
Let g(t) = 3*t**5 - 6*t**2. Let v(w) = 6*w**5 + 49*w**4 + 12*w**3 - 70*w**2. Let d(x) = g(x) - v(x). Solve d(k) = 0 for k.
-16, -4/3, 0, 1
Let c be (1 - 10/14)/((-7)/(-294)). Suppose -15 = -3*u, -c = 4*z - u - 3*u. Factor 6/7*i**z + 3/7*i**3 + 0*i + 0.
3*i**2*(i + 2)/7
Suppose n + 2*o = -3*n + 4, -2 = -o. Let s(c) be the third derivative of 0 - 1/9*c**4 - 15*c**2 - 1/9*c**5 + 0*c**3 - 2/315*c**7 + n*c - 2/45*c**6. Factor s(q).
-4*q*(q + 1)**2*(q + 2)/3
Let o(n) = 39*n**2 - 3*n + 6. Let b be o(4). Suppose l + 5*l = b. Suppose -6*y**3 + 103 - 4*y**3 - y**4 - 25*y**2 - l = 0. Calculate y.
-5, 0
Let r be (-4)/(-10) + (-312)/(-120). Factor -196*x**5 + 132*x**3 - 79*x**3 + 112*x**4 - 69*x**r.
-4*x**3*(7*x - 2)**2
Factor 67*m**2 + 5*m**3 - 41601*m + 41681*m - 17*m**2.
5*m*(m + 2)*(m + 8)
Let h(q) be the second derivative of 3*q**3 + 2*q + 162*q**2 - 118 + 1/48*q**4. Factor h(k).
(k + 36)**2/4
Let n(x) be the first derivative of 289*x**4/9 + 2176*x**3/9 - 134*x**2 + 24*x + 1300. Factor n(r).
4*(r + 6)*(17*r - 3)**2/9
Let w(q) = 17*q - 80. Let a(g) = -66*g + 319. Let r(z) = -6*a(z) - 22*w(z). Let f be r(7). Factor 0 + 2*o**3 - 8/3*o + f*o**2 - 2/3*o**4.
-2*o*(o - 2)**2*(o + 1)/3
Let i(s) be the second derivative of -11*s**5/100 + 29*s**4/30 - 1306*s. Factor i(f).
-f**2*(11*f - 58)/5
Suppose 4*a + p = 3, a = 5*p - 8 - 7. Suppose -3*t = 4*l - 7, 4*l - 7*t + 12*t - 1 = a. Factor 0*z - 6/5*z**2 + 3/5*z**l - 3/5*z**3 + 0.
3*z**2*(z - 2)*(z + 1)/5
Let g(a) = -8*a**4 + 24*a**3 + 98*a**2 + 74*a + 4. Let r(q) = -34*q**4 + 96*q**3 + 391*q**2 + 297*q + 18. Let s(t) = 9*g(t) - 2*r(t). Factor s(y).
-4*y*(y - 9)*(y + 1)*(y + 2)
Let a = -60609806/173383 - -9/24769. Let l = a - -350. Let -9/7*b - l*b**2 + 0 = 0. What is b?
-3, 0
Let s(n) be the third derivative of -1/70*n**7 + 0*n**3 - 29*n**2 + 0 + 1/4*n**5 + 3/4*n**4 - 1/20*n**6 + 3*n. Let s(w) = 0. Calculate w.
-3, -1, 0, 2
Let x = 225 + -220. Factor -8 - 12*m - 48*m**4 - 9*m**3 - 9*m**2 - 3*m**3 + 65*m**2 + 14*m**5 + 14*m**x - 4*m**3.
4*(m - 1)**3*(m + 1)*(7*m + 2)
Let f(g) be the second derivative of -g**7/70 - 31*g**6/25 - 3219*g**5/100 - 841*g**4/5 + 1300*g. Factor f(x).
-3*x**2*(x + 4)*(x + 29)**2/5
Let v(g) be the first derivative of 27 + 10*g + 2/3*g**3 - 6*g**2. Factor v(q).
2*(q - 5)*(q - 1)
Let a(y) be the second derivative of -y**4/90 + 748*y**3/45 - 139876*y**2/15 + 1753*y. Factor a(d).
-2*(d - 374)**2/15
Let q be 2 - (10 + -9) - 22/(-198)*39. Factor -q + 10/3*l**3 - 26/3*l**2 - 52/3*l.
2*(l - 4)*(l + 1)*(5*l + 2)/3
Let p(t) be the second derivative of -t**5/40 + 11*t**4/8 - 24*t**3 + 64*t**2 - 2*t - 630. Factor p(k).
-(k - 16)**2*(k - 1)/2
Suppose 45*q + 21 - 489 = -189*q. Let n(l) be the first derivative of -1 + 8*l - 1/2*l**4 + 0*l**2 - q*l**3. Let n(c) = 0. Calculate c.
-2, 1
Let j(n) be the third derivative of n**5/15 - 63*n**4/2 + 748*n**3/3 - 3615*n**2. What is m in j(m) = 0?
2, 187
Suppose -4*l = 0, 115 - 140 = -5*r + 2*l. Let o be (-3 - 4/(r - 1)) + 6. Factor -3/2*f**o + 0 - 3/4*f**3 + 9/4*f.
-3*f*(f - 1)*(f + 3)/4
Let g be (-2 + (-84)/(-18))*78/130. Factor -6/5 - 1/5*l**3 - 13/5*l - g*l**2.
-(l + 1)**2*(l + 6)/5
Let t(x) = -15*x**3 - 277*x**2 - 4299*x - 18057. Let f(g) = -17*g**3 - 277*g**2 - 4306*g - 18056. Let k(z) = -6*f(z) + 7*t(z). Find j, given that k(j) = 0.
-223/3, -9
Let m(z) be the third derivative of 5/12*z**4 + 0*z - 1/12*z**6 + 0*z**3 + 1/12*z**5 + 4 - 1/42*z**7 - 2*z**2. Factor m(p).
-5*p*(p - 1)*(p + 1)*(p + 2)
Let d(n) be the second derivative of -11/3*n**4 - 5*n + 0*n**2 + 56/3*n**3 - 2 + 1/5*n**5. Solve d(r) = 0 for r.
0, 4, 7
Suppose -148772 = -185*n - 148217. Suppose -24/7*g - 44/7*g**2 - 4/7*g**4 + 0 - 24/7*g**n = 0. Calculate g.
-3, -2, -1, 0
Let k be (258/(-1935))/(126/(-135)). Solve -k*b**3 + 5/7 - 11/7*b + b**2 = 0.
1, 5
Let c = 43673/12 - 3639. Let h(u) be the second derivative of 1/6*u**3 - c*u**2 + 0 - 32*u - 1/72*u**4. Solve h(a) = 0.
1, 5
Let z(b) be the second derivative of b**5/50 + 103*b**4/15 + 41*b**3/3 - 4672*b. Solve z(s) = 0 for s.
-205, -1, 0
Let y(x) be the first derivative of x**6/24 - 7*x**5/10 + 13*x**4/4 - 11*x**3/2 + 27*x**2/8 - 3012. Solve y(t) = 0.
0, 1, 3, 9
Let j(a) = 94*a - 656. Let o be j(7). Let z(x) be the first derivative of -9/4*x**4 + 0*x**o + 0*x + 2*x**3 + 2. Find f such that z(f) = 0.
0, 2/3
Let 1851 + 108289*t**2 + 4226 - 108294*t**2 + 1973 - 1585*t = 0. What is t?
-322, 5
Let t(m) = m**2 - 2*m + 4. Suppose -4*f - 6 = 6*a - 9*a, 4*f = 0. Let p be t(a). What is y in -3/2*y**2 + 4*y - 2 - y**3 + 1/2*y**p = 0?
-2, 1, 2
Let n(p) be the first derivative of -p**6/6 + 193*p**5/5 - 383*p**4/4 + 191*p**3/3 + 2554. Factor n(v).
-v**2*(v - 191)*(v - 1)**2
Let f = 78 + -90. Let q(m) = -m**2 - 15*m - 30. Let h be q(f). Suppose -3*j**4 + 0*j**2 + 9*j**2 - 24*j - h + 27*j - 3*j**3 = 0. What is j?
-2, -1, 1
Let g be 17 + (48/(-6))/(-4). Factor -43*l - 104*l + g*l**2 + 3*l**3 - 1968 + 23*l**2 + 2070.
3*(l - 2)*(l - 1)*(l + 17)
Let k(t) = t**2 + t - 11. Let s be k(-5). Let l = s - 7. Factor 10*x**2 - 2*x**2 + 8*x - 2*x**l.
2*x*(3*x + 4)
Let t be 0 + (0 - (0 + 0)). Let r be (-6)/(-3)*125/50. Factor 9/4*w**3 + 0*w + 3/4*w**r + 3/4*w**2 + t + 9/4*w**4.
3*w**2*(w + 1)**3/4
Suppose -3*f + 40 - 77 = j, 0 = 2*j + 4*f + 48. Determine k so that 5/2 + j*k - 1/2*k**2 = 0.
-1, 5
Let w be (-17)/(-5) + (-2160)/2025 + (-2)/(-3). Let y(l) be the second derivative of l**w - 1/4*l**4 + 0*l**2 + 0 - 27*l. Factor y(b).
-3*b*(b - 2)
Let s(j) = 67*j**2 + j**3 + 0*j - 20*j - 86*j**2 + 36. Let x be s(20). Solve 3*b**2 - 27 - x*b - 2*b**2 - 4*b**2 - 81 = 0 for b.
-6
Let o(s) = -21*s**4 - 21*s**3 + 105*s**2 - 15*s - 57. Let z(u) = -25*u**4 - 20*u**3 + 105*u**2 - 16*u - 56. Let j(n) = 4*o(n) - 3*z(n). Solve j(w) = 0.
-5, -2/3, 1, 2
Let o(y) be the second derivative of -y**6/5 - 841*y**5/10 - 30362*y**4/3 - 82892*y**3 - 76176*y**2 + y - 5443. Determine l, given that o(l) = 0.
-138, -4, -1/3
Let g(l) be the third derivative of 14/15*l**3 - 1/75*l**5 + 3*l**2 + 1/5*l**4 - 3 + 0*l. Factor g(c).
-4*(c - 7)*(c + 1)/5
Let m(g) = 12*g**2 + 4008*g - 1004008. Let t(j) = 8*j**2 + 4008*j - 1004007. Let f(a) = -3*m(a) + 4*t(a). Factor f(x).
-4*(x - 501)**2
Let 780 - 59*a**3 - 636*a**2 - 144*a**2 + 9648*a - 9644*a + 55*a**3 = 0. What is a?
-195, -1, 1
Let i(f) be the second derivative of -f**6/120 - 11*f**5/40 + 3*f**4/2 - f**3/2 - 59*f. Let n(p) be the second derivative of i(p). Factor n(a).
-3*(a - 1)*(a + 12)
Solve -7/3*f + 1/3*f**4 + 0 + 5*f**2 - 3*f**3 = 0 for f.
0, 1, 7
Factor -165*m + 505*m - 170 - m**2 - 80*m - 89*m.
-(m - 170)*(m - 1)
Suppose 201 = 7*r + 16*r + 86. Let v(w) be the first derivative of 130/3*w**3 - 165/4*w**4 + 160*w + 240*w**2 + 23 + r*w**5. Find u such that v(u) = 0.
-1, -2/5, 4
Let n(u) be the second derivative of -3*u**5/20 - 155*u**4/2 + 937*u**3/2 - 939*u**2 + 286*u. Determine b so that n(b) = 0.
-313, 1, 2
Let g(d) be the third derivative of d**8/672 - 4*d**7/315 + 11*d**6/360 + d**5/90 - 25*d**4/144 + d**3/3 + 854*d**2. What is x in g(x) = 0?
-1, 1, 4/3, 3
Let y = 725534/3 - 241836. Let 2/3*l**3 + 20/3 - y*l + 4/3*l**2 = 0. What is l?
-5, 1, 2
Let t(g) be the third derivative of g**6/480 + 13*g**5/80 + 169*g**4/32 + 2197*g**3/24 + 1537*g**2. Suppose t(n) = 0. Calculate n.
-13
Let i(u) = 16*u**3 + 54*u**2 - 12