te t.
-2, -1, 0, 1
Let t(l) = -68*l - 62. Let r(w) be the second derivative of w**4/12 - 139*w**3/6 - 125*w**2/2 - 18*w + 1. Let q(b) = -2*r(b) + 5*t(b). Factor q(p).
-2*(p + 1)*(p + 30)
Let n(x) = 683*x**2 - 19*x + 1. Let b be n(2). Factor 87*v - 3*v**2 - 1299 + b - 1306.
-3*(v - 30)*(v + 1)
Let z be (-5 + 8)*2/3. Let p be 81/54 + 10/4. Factor 19*v**p - 11*v**4 + 16*v**3 - 4*v**4 - 16 - 16*v + 12*v**z.
4*(v - 1)*(v + 1)*(v + 2)**2
Let j(i) be the first derivative of 3*i**5/20 + 9*i**4/4 + 21*i**3/2 + 39*i**2/2 + 63*i/4 - 821. Factor j(x).
3*(x + 1)**2*(x + 3)*(x + 7)/4
Let w = -455507/7 - -65073. Suppose 22/7*z**3 - 2/7*z - 24/7*z**2 - w*z**4 + 8/7 = 0. Calculate z.
-1/2, 1, 4
Let d be 18/((-24)/8) + 260. Let m = d + -252. Let -32/9*q**3 - 2/3*q**4 + 4*q + 0 - 10/3*q**m = 0. What is q?
-3, 0, 2/3
Let h(s) be the third derivative of -s**8/252 - 4*s**7/63 - 109*s**6/360 - 7*s**5/20 + 3*s**4/2 + 6*s**3 - 2*s**2 + 1677. Find z such that h(z) = 0.
-6, -2, -3/2, 1
Suppose 259 + 69 = 3*c - 4*q, 5*c - 555 = 5*q. Factor -2*g**4 + 4*g**5 + 2*g**2 - 115*g + c*g - g**5 - 4*g**3.
g*(g - 1)**2*(g + 1)*(3*g + 1)
Let y = -218544 - -218546. Let -997*h**y + 7491/5*h - 323/5*h**3 - 2178/5 - h**4 = 0. What is h?
-33, 2/5, 1
Let y(k) be the second derivative of -19*k + 1/48*k**4 - 1/6*k**3 - 5/8*k**2 + 0. Determine s so that y(s) = 0.
-1, 5
Suppose 0 = -818*u + 813*u + 10. Let p = 146 + -141. Factor 0*q**u + 0*q - 5/3*q**4 + 0 + 10/3*q**3 - 5/3*q**p.
-5*q**3*(q - 1)*(q + 2)/3
Let r(u) be the second derivative of u**5/90 - u**4/27 - u**3/9 + u + 91. Determine m, given that r(m) = 0.
-1, 0, 3
Let n(a) = -a**3 - a. Let z(c) = -2*c**3 - 2*c**2 + 19*c - 24. Suppose 141*g - 12 = 137*g. Let r(t) = g*n(t) - 3*z(t). Factor r(u).
3*(u - 2)**2*(u + 6)
Let z(v) be the first derivative of v**6/120 + v**5/30 - v**4/3 - 56*v**2 - 79. Let r(u) be the second derivative of z(u). Suppose r(d) = 0. Calculate d.
-4, 0, 2
Let r(h) be the first derivative of 2*h**3/39 + 314*h**2/13 + 49298*h/13 - 1155. Suppose r(w) = 0. Calculate w.
-157
Let v(f) = -5*f**3 + 115*f**2 - 390*f + 320. Let p(r) = -r**2 - 3*r. Let a(u) = 10*p(u) + v(u). Determine t so that a(t) = 0.
1, 4, 16
Let b(d) be the second derivative of d**6/135 - d**5/10 + 19*d**4/54 + d**3/3 - 20*d**2/9 - 523*d - 4. Solve b(w) = 0.
-1, 1, 4, 5
Let j(p) be the first derivative of 5*p**6/3 + 156*p**5/5 + 723*p**4/5 - 488*p**3/3 - 5343*p**2/5 - 6084*p/5 + 824. Suppose j(z) = 0. Calculate z.
-39/5, -1, 2
Suppose 0 = 3*j + 3, j - 9 = n + 4*j. Let o be (1/1)/(n/(-12)). Factor 37*v**2 - 5*v**3 - 27*v**o - 6*v + 21*v.
-5*v*(v - 3)*(v + 1)
Let c(i) be the first derivative of -i**4/12 - 35*i**3/9 + 37*i**2/3 - 60. Let c(u) = 0. Calculate u.
-37, 0, 2
Let s = -27580 - -27583. Let z(b) be the second derivative of -32 + 8/3*b**s + 0*b**2 - b - 7/3*b**4. Factor z(a).
-4*a*(7*a - 4)
Find c such that 1701*c - 6*c**2 - 36748*c**3 - 36750*c**3 + 73477*c**3 + 486 = 0.
-9, -2/7, 9
Factor 1210/3*h - 1 - 403/3*h**2.
-(h - 3)*(403*h - 1)/3
Let q(d) be the second derivative of 0 - 5/3*d**3 + 3/8*d**6 - 15/8*d**4 - 5*d**2 + 1/6*d**5 + 10*d. Let n(v) be the first derivative of q(v). Solve n(z) = 0.
-1, -2/9, 1
Let f be (-2 + 2)/(-4 - (-7 - -4)). Suppose 2*r + 2*k - 4*k - 10 = 0, -3*r + 5*k + 21 = f. Factor -13*c**3 + 6*c**r - 11*c**3 - 2*c**4 + 20*c**3.
-2*c**2*(c - 1)*(c + 3)
Let z(d) be the first derivative of -1/20*d**5 + 0*d + 1/12*d**3 + 1/24*d**6 - 1/16*d**4 + 32 + 0*d**2. What is m in z(m) = 0?
-1, 0, 1
What is z in 4/9*z**4 - 10061824/9*z + 73984/3*z**2 - 544/3*z**3 + 0 = 0?
0, 136
Let b(q) be the third derivative of q**8/616 + 8*q**7/231 - 139*q**6/165 + 16*q**5/15 - q**2 - 159. Determine w, given that b(w) = 0.
-22, 0, 2/3, 8
Let h(g) be the first derivative of -5*g**4/2 - 55*g**3/3 + 35*g**2/2 + 30*g - 1132. Suppose h(a) = 0. What is a?
-6, -1/2, 1
Let a(n) be the third derivative of -23*n**7/105 - 13*n**6/60 + 25*n**5/6 - 119*n**4/12 + 10*n**3 + 3*n**2 - 7*n + 23. Determine t so that a(t) = 0.
-3, 10/23, 1
Suppose 10*r - 6*r - 408 = 0. Suppose -20*u**3 + 59*u**4 - 72 + 28*u**2 - 120*u - r*u**2 - 61*u**4 = 0. Calculate u.
-3, -2
Let y(k) be the third derivative of -k**5/120 + 1871*k**4/48 + k**2 + 4*k - 106. Factor y(q).
-q*(q - 1871)/2
Let c be (5/(-3))/(555/(-7326)). Let m be c/6 - (-252)/(-378). Factor -9/10 - 1/10*t**4 + 1/5*t**2 + 2/5*t**m - 6/5*t.
-(t - 3)**2*(t + 1)**2/10
Let h(z) be the second derivative of 5*z**4/36 - 269*z**3/18 - 9*z**2 - 73*z. Factor h(g).
(g - 54)*(5*g + 1)/3
Let z(h) be the second derivative of 0 + 14/33*h**3 - 7*h - 1/66*h**4 + 15/11*h**2. Factor z(i).
-2*(i - 15)*(i + 1)/11
Let j be (-7)/(-2)*106/53. Let q(x) be the third derivative of 0*x**4 + 1/3*x**5 + 1/42*x**j - 5*x**2 + 0*x**3 + 0 + 1/6*x**6 + 0*x. Factor q(s).
5*s**2*(s + 2)**2
Let v(l) = l**3 + 10*l**2 + 14*l - 11. Let i be v(-8). Determine x so that -47*x**i + x**3 - 8 + 46*x**5 + x - 17*x**2 + 4*x**4 + 19*x - 2*x**3 + 3*x**2 = 0.
-2, 1, 2
Let j(n) be the second derivative of -n**5/170 - 2*n**4/17 + 127*n**3/51 - 114*n**2/17 + 2*n - 718. Find x such that j(x) = 0.
-19, 1, 6
Let q(s) be the first derivative of -s**4 - 8*s**3 + 782*s**2 + 1190. Factor q(m).
-4*m*(m - 17)*(m + 23)
Suppose -456*w - 4*w = 41*w. Let u be (9/(-6) - -1)*0. Suppose -3/4*m**5 + 3/4*m**2 + w*m + 3/4*m**3 - 3/4*m**4 + u = 0. What is m?
-1, 0, 1
Factor -60 + 4/5*l**3 + 92/5*l**2 - 212/5*l.
4*(l - 3)*(l + 1)*(l + 25)/5
Let y = -115 - -117. Let w(p) = p**4 - 3*p**3 - 5*p**2 - p - 2. Let i(n) = 2*n**4 - 3*n**3 - 6*n**2 - n - 3. Let f(x) = y*i(x) - 3*w(x). Factor f(b).
b*(b + 1)**3
Let v(b) = -b**3 - b + 1. Let c(l) = -11*l**2 - 13*l + 11. Let a(d) = c(d) - 2*v(d). Let j be a(8). Factor 236*s**2 + s**3 - 4*s**3 - 2*s**3 + 10*s - j*s**2.
-5*s*(s - 1)*(s + 2)
Let i(c) be the third derivative of 25/96*c**4 + 5/96*c**6 + 0 + 1/210*c**7 + 7/40*c**5 + 1/6*c**3 - 2*c - 54*c**2. Factor i(w).
(w + 1)**2*(w + 4)*(4*w + 1)/4
Let c(q) = q**4 - 364*q**3 - 369*q**2 + 2*q - 2. Let v(g) = 5*g**4 - 2183*g**3 - 2214*g**2 + 13*g - 13. Let l(x) = 13*c(x) - 2*v(x). Let l(d) = 0. Calculate d.
-1, 0, 123
Suppose 5*w = 2*m - 39, 0 = 16*w - 17*w - m - 5. Let q be (-11 - -8) + -4 - w. Suppose 8/5*u**2 + 2/5*u**4 + 0 - 8/5*u**3 + q*u = 0. What is u?
0, 2
Let k(h) = 2*h**2 - 618*h - 6855. Let w be k(-11). Find r such that 71/2*r**4 + 2*r**5 + 479/2*r**2 + w*r**3 + 56*r - 32 = 0.
-8, -1, 1/4
Let b be ((-9)/27)/(4 + -3 + -7). Let n(x) be the first derivative of 0*x + b*x**3 - 1/3*x**2 - 8. Solve n(z) = 0.
0, 4
Suppose -5*p - 76 = -4*u, 5*u + 8*p - 116 = 9*p. Suppose 19*n - 11*n - u = 0. Factor 0 + 0*t - 2/7*t**n + 0*t**2.
-2*t**3/7
Suppose 0 = 3*p + i - 1035, 15*p - 1380 = 11*p - 5*i. Let k be 46/p*9/6. Solve k*y - 1/5*y**3 + 1/5*y**4 - 1/5*y**2 + 0 = 0.
-1, 0, 1
Let u(q) be the first derivative of -q**5/30 - 31*q**4/12 - 10*q**3 - 59*q**2/2 + 2*q + 237. Let y(f) be the second derivative of u(f). Factor y(z).
-2*(z + 1)*(z + 30)
Suppose -6 = -r + 5*o + 23, -15 = 5*o. Suppose -r*w**3 - 22*w**3 - 60*w**2 + 1403*w**4 - 1407*w**4 - 28*w = 0. Calculate w.
-7, -1, 0
Let v = -36 - -30. Let s be (-1)/2*v - (-3)/(-3). Factor -9*a**3 + a**2 + 0*a**s + 9*a - 3*a**2 + 5*a**2 - 6 + 3*a**4.
3*(a - 2)*(a - 1)**2*(a + 1)
Let k(v) be the third derivative of -1 - 1/330*v**5 + 0*v - 7*v**2 - 1/22*v**4 + 16/33*v**3. Factor k(b).
-2*(b - 2)*(b + 8)/11
Let f(g) = 5*g**3 - 184*g**2 - 2833*g - 12037. Let r(w) = -2*w**3 + 92*w**2 + 1416*w + 6015. Let x(p) = -3*f(p) - 7*r(p). Find i, given that x(i) = 0.
-74, -9
Let y be ((-28)/21)/(6/(-9)). What is h in 218*h**y - 213*h**2 - h + h = 0?
0
Let z(j) be the third derivative of j**5/390 - 8*j**4/39 - 68*j**3/39 + 1987*j**2. Factor z(k).
2*(k - 34)*(k + 2)/13
Let v(o) be the second derivative of o**5/5 - 26*o**4/3 - 78*o**3 - 180*o**2 - 455*o. Suppose v(f) = 0. What is f?
-3, -1, 30
Let v(w) be the first derivative of 2*w**5/65 - w**4/13 - 8*w**3/39 + 2*w**2/13 + 6*w/13 + 1272. Let v(f) = 0. Calculate f.
-1, 1, 3
Let z(l) be the first derivative of -l**4/18 + 4*l**3/3 - 77*l**2/9 + 40*l/3 - 938. Factor z(o).
-2*(o - 12)*(o - 5)*(o - 1)/9
Let b be 1897/542*(-4 - (-200)/14). Factor -b*q**2 - 2*q + 9/2*q**3 + 16.
(q - 8)*(3*q - 2)*(3*q + 2)/2
Let x(l) be the first derivative of 3*l**6/7 + 4*l**5