2*r + 1. Let j be d(-23). Factor 7 - 3*m**3 + 5 + 40*m**2 - j*m - 25*m**2.
-3*(m - 2)**2*(m - 1)
Let j(v) = -11*v - 24. Let i be j(-5). Factor -66*u - 4*u**2 + 27*u + i*u.
-4*u*(u + 2)
Let a(j) be the second derivative of -j**4/3 - 2348*j**3/3 - 689138*j**2 - 1854*j. Suppose a(u) = 0. What is u?
-587
Let f(g) be the third derivative of -g**5/60 + 7*g**4/6 - 57*g**3/2 - g**2 - 508*g. Factor f(u).
-(u - 19)*(u - 9)
Let y be (-4098)/9562 + 57*2/70. Factor y + 11/10*c - 1/10*c**2.
-(c - 12)*(c + 1)/10
Let b(z) = -31*z**3 + 2 - 13*z**2 - 12*z**2 - 37*z**3 + 30*z + 71*z**3. Let c(y) = -6*y**3 + 24*y**2 - 30*y - 3. Let i(a) = -3*b(a) - 2*c(a). Factor i(v).
3*v*(v - 1)*(v + 10)
Let l(y) = 15*y**2 + 16314*y + 22902555. Let s(q) = q**2 - 22*q + 4. Let i(j) = l(j) - 12*s(j). Factor i(p).
3*(p + 2763)**2
Let k = 177 + -175. Find j such that 8*j**4 - 12*j**3 + 144*j**5 - 2*j - 70*j**5 - 76*j**5 + 8*j**k = 0.
0, 1
Let g(n) be the first derivative of -n**4/3 + 20*n**3 - 208*n**2 - 18928*n/3 + 3050. Factor g(d).
-4*(d - 26)**2*(d + 7)/3
Let g be (-72)/(-4) + -9 - 6. Factor 0 - 1/5*k**5 - k**4 - 2/5*k - 7/5*k**2 - 9/5*k**g.
-k*(k + 1)**3*(k + 2)/5
Let p(u) = u**3 + 49*u**2 + 70*u + 1058. Let z be p(-48). Factor 3/5*g**3 - 18/5*g - 3*g**z + 0.
3*g*(g - 6)*(g + 1)/5
Let c(u) be the second derivative of u**6/40 - 3*u**5/8 - 171*u**4/16 - 2*u + 33. Factor c(b).
3*b**2*(b - 19)*(b + 9)/4
Let s(k) be the first derivative of 7*k**4/2 - 272*k**3/3 + 404*k**2 - 640*k - 1084. Factor s(u).
2*(u - 16)*(u - 2)*(7*u - 10)
Let m(d) be the third derivative of -d**5/330 + 17*d**4/66 - 40*d**3/11 - d**2 + 455*d. Factor m(j).
-2*(j - 30)*(j - 4)/11
Let g(r) be the third derivative of 2*r**2 - 1/630*r**7 + 1/45*r**5 - 47*r + 0*r**3 - 1/90*r**6 + 0 + 0*r**4 + 1/1008*r**8. Factor g(m).
m**2*(m - 2)*(m - 1)*(m + 2)/3
Solve 0*t**2 + 0*t + 0 + 56/9*t**4 + 2/9*t**5 + 40*t**3 = 0.
-18, -10, 0
Let t(y) be the first derivative of -2*y**5/15 + 19*y**4/6 + 208*y**3/9 - 92*y**2 - 11334. What is o in t(o) = 0?
-6, 0, 2, 23
Let b(q) = -q**4 - q**3 - 2*q**2 + 2*q + 1. Let z(i) = -4*i**4 - 163*i**3 - 171*i**2 + 328*i + 5. Let n(s) = -5*b(s) + z(s). Factor n(j).
j*(j - 159)*(j - 1)*(j + 2)
Let m be ((-6)/(-4))/((-39)/(-52)). Factor -3*v**2 - 15*v + 1 + 9 + v**m + 7*v**2.
5*(v - 2)*(v - 1)
Suppose 83 + 37 = 8*g. Solve g*a**2 - 5*a + 3*a**5 + 3*a**3 - 9*a**4 + 0*a - a - 6*a**2 = 0.
-1, 0, 1, 2
Let u = -3206879/204 - -15720. Let v(s) be the third derivative of -1/510*s**5 + 0*s**3 + 0 + u*s**4 - 1/595*s**7 - 27*s**2 - 1/204*s**6 + 0*s. Factor v(n).
-2*n*(n + 1)**2*(3*n - 1)/17
Let w(n) be the third derivative of 53/12*n**4 + 0 + 103*n**2 + 0*n + 0*n**3 + 1/30*n**5. Factor w(g).
2*g*(g + 53)
Let z = -199886 + 199888. Find m such that 6/11*m**4 - 16/11*m**3 + 4/11*m + 6/11*m**z + 0 = 0.
-1/3, 0, 1, 2
Let d(o) be the first derivative of 2*o**6/21 + 92*o**5/35 + 17*o**4 - 668*o**3/21 - 240*o**2/7 + 576*o/7 - 5. What is m in d(m) = 0?
-12, -1, 1
Suppose -107*z + 0 = 5 - 5. Let t(l) be the second derivative of -4/3*l**3 + 0*l**2 + z + 12*l - 1/3*l**4. Factor t(w).
-4*w*(w + 2)
Factor 176/3 + 16*d**2 + 1/6*d**3 - 182/3*d - 1/6*d**4.
-(d - 8)*(d - 2)**2*(d + 11)/6
Suppose -2167/3*t + 482/3 - 3*t**2 = 0. Calculate t.
-241, 2/9
Suppose 0 = -n + 4*v - 3*v + 3, -3*n + 4*v + 8 = 0. Factor 1 - 15*b**n + 10*b**4 - 2*b**2 + 6*b**4.
(b - 1)**2*(b + 1)**2
What is d in -108/19*d - 224/19 + 2/19*d**2 = 0?
-2, 56
Let f(m) = m + 59. Let a be f(-35). Suppose 17*i - 29*i = -a. Factor -12/5 - 2/5*j**i - 14/5*j.
-2*(j + 1)*(j + 6)/5
Let o = 83/2534 + 114987/48146. Determine a so that -18/19*a**4 + 2/19*a**5 + 72/19 - o*a**2 + 54/19*a**3 - 48/19*a = 0.
-1, 2, 3
Factor -1758/11*v + 592/11*v**2 + 0 - 2/11*v**3.
-2*v*(v - 293)*(v - 3)/11
Determine a, given that 1016/7*a - 6414/7*a**3 - 1804/7*a**2 + 400/7*a**5 - 1850/7*a**4 + 48 = 0.
-2, -2/5, -3/8, 2/5, 7
Factor 1324*q**2 + 2*q**4 - 97*q**2 + 273*q**3 - 3136*q - 54*q**3 + 117*q**2 - 111*q**3.
2*q*(q - 2)*(q + 28)**2
Let b(u) = u**3 - 40*u**2 + 78*u - 67. Let y be b(38). Let l be ((-6)/y)/(4/(-8)). Determine n, given that 0*n**2 - 14/9*n + 2/9*n**3 - l = 0.
-2, -1, 3
Suppose -4*y - 3*d + 26 = 0, 5*y = 6*y + 3*d - 11. Let j be y/12 + 7/(-28). Factor 4*l**4 - 8/3*l**5 - j*l - 1/6*l**3 + 0 - l**2.
-l*(l - 1)**2*(4*l + 1)**2/6
Let u = 34 - -9. Let c = u + 732. Determine p so that 46*p - 5 - c*p**2 - 7 + 761*p**2 = 0.
2/7, 3
Let d = -34 + 38. Suppose 0 = d*l + 6*l - 20. Find g such that -2/5 + 9/5*g**l - g - 7/5*g**4 + g**3 = 0.
-1, -2/7, 1
Let m(c) = c**3 + 16*c**2 - 39*c - 57. Let o be m(-18). Let p be (o + 34/14)*(-35)/30. Determine u so that -p*u - u**3 + 0 - 5/3*u**2 + 1/3*u**4 + 1/3*u**5 = 0.
-1, 0, 2
Let r be 8 + -10 + 4 + -5. Let t be (-2 - r/(-6)*-4)/1. Suppose t + 1/5*p**2 + 0*p + 1/10*p**4 + 3/10*p**3 = 0. What is p?
-2, -1, 0
Let w(g) = -51*g**2 - 246*g - 63. Let o(z) = -76*z**2 - 370*z - 96. Let h(p) = 5*o(p) - 8*w(p). Factor h(y).
2*(y + 4)*(14*y + 3)
Let t(q) = -q**2 + 21*q - 12. Let d(z) = 5*z**2 - 85*z + 44. Let v(a) = -3*d(a) - 11*t(a). Let v(i) = 0. Calculate i.
0, 6
Let h(v) = -v**2 - 108*v - 2316. Let n(s) = s**2 + 106*s + 2314. Let d(o) = -5*h(o) - 6*n(o). Factor d(z).
-(z + 48)**2
Suppose -28*l + 210 = -22*l. Let u(a) = 505*a**3 - 995*a**2 - 205*a. Let j(t) = -42*t**3 + 83*t**2 + 17*t. Let q(h) = l*j(h) + 3*u(h). Factor q(n).
5*n*(n - 2)*(9*n + 2)
Let a be (14/(-4))/(2172/(-732) - -3). Let o = 113 + a. Suppose 0 - 2*v**2 + v - 55/4*v**3 - o*v**4 = 0. Calculate v.
-2, -2/5, 0, 1/5
Let m be ((-1)/(2/10))/((-40)/16). Factor -35 - 48*z + 4*z**3 - 38 - 7 + 36*z**m.
4*(z - 2)*(z + 1)*(z + 10)
Let u(h) be the second derivative of 3*h**5/100 + 101*h**4/5 + 20402*h**3/5 + 477*h - 2. Factor u(x).
3*x*(x + 202)**2/5
Let y = -672299 - -672299. Let 3/2*k**3 + 0 + y*k - 3/2*k**2 = 0. Calculate k.
0, 1
Let h(x) be the second derivative of x**7/231 - 4*x**6/165 - x**5/110 + 8*x**4/33 - 4*x**3/11 - 4234*x. Determine t so that h(t) = 0.
-2, 0, 1, 2, 3
Let h(x) be the second derivative of x**6/20 - 3*x**5/10 - 3*x**4/8 + 7*x**3/2 - 6*x**2 - 3*x + 82. Determine j, given that h(j) = 0.
-2, 1, 4
Let c(y) = 19*y**2 - 2548*y + 1615423. Let u(z) = 79*z**2 - 10193*z + 6461689. Let k(b) = -25*c(b) + 6*u(b). Find h such that k(h) = 0.
1271
Let l(v) = -v**2 - 9*v + 5. Let x be l(-14). Let q = 67 + x. Factor 2*g - 2*g**3 + 3 + 1 + 66*g**2 - 70*g**q.
-2*(g - 1)*(g + 1)*(g + 2)
Let u = 50 - 45. Let c be -4 + 40/12 + (-1694)/(-3). Factor -3*i**3 + 12*i - 3*i**u + 0*i**4 - c*i**2 + 534*i**2 + 24 + 12*i**4.
-3*(i - 2)**3*(i + 1)**2
Let o(a) be the second derivative of -1/75*a**6 + 0 + 0*a**2 + 4/5*a**3 + 142*a + 2/15*a**4 - 3/50*a**5. Factor o(r).
-2*r*(r - 2)*(r + 2)*(r + 3)/5
Let k(a) be the first derivative of 5/22*a**4 + 52 + 0*a - 4/11*a**2 - 16/33*a**3. Factor k(n).
2*n*(n - 2)*(5*n + 2)/11
Factor -154*o**2 - 542/7*o**3 - 538/7*o - 2/7*o**4 + 0.
-2*o*(o + 1)**2*(o + 269)/7
Let m = -13 + 28. Let j = -623 - -629. Find l such that 6*l + l**3 + j*l + 2 - m*l = 0.
-2, 1
Let v be 53 + (-4 - -4) + 3. Factor 0*z**3 + 4 - 8 + 15*z**2 + 20*z - v - 5*z**3.
-5*(z - 3)*(z - 2)*(z + 2)
Let z(n) be the second derivative of -5 + 529/7*n**2 + 1/42*n**4 + 46/21*n**3 - 13*n. Factor z(o).
2*(o + 23)**2/7
Factor 2/11*l**2 - 292/11*l + 10658/11.
2*(l - 73)**2/11
Suppose -x = -5*t + 27, -1716*t + 1713*t - 28 = 2*x. Let 16/3*z**t + 0 + 4*z**3 + 2*z + 0*z**4 - 2/3*z**5 = 0. Calculate z.
-1, 0, 3
Factor -10*s**2 + 11*s**2 + 276*s + 268 - 657*s + 245*s.
(s - 134)*(s - 2)
Let x(j) = -j + 27. Let l be x(19). Suppose -l*p - 2*p + 220 = 0. Find h, given that -p*h**3 + h**5 + 2*h**4 - 285 + 16*h + 6*h**2 + 5*h**5 + 277 = 0.
-2, -1, 2/3, 1
Let -1/5*i**2 - 58 - 291/5*i = 0. What is i?
-290, -1
Let s(i) be the first derivative of -12*i - 51 - 2/3*i**3 + 5*i**2. Factor s(r).
-2*(r - 3)*(r - 2)
Let s be (-4)/20 - 22/(-10). Suppose -200*i + 60 + 14*i**4 - i**3 - 39*i**4 - 5*i**5 + 125*i**s + 20 + 26*i**3 = 0. What is i?
-4, 1
Let q(p) be the second derivative of -10/3*p**3 + 0*p**2 + 9/2*p**4 - p - 11 - 5/2*p**5 - 1/21*p**7 + 3/5*p**6. Solve q(s) = 0 for s.
0, 1, 2, 5
Let k be (-7)/(-2)*(4 - 2). Let n be (49/28)/k + 14/8. Determine d so that 66 + 61 - d**n - 124 + 2*d = 0.
-1, 3
Let r(w) be the second derivative of -w**4/