 - m**3/3 - 4*m**2 + 36*m. Let b(u) be the second derivative of t(u). Factor b(f).
3*f**2*(f - 16)**2/5
Let r(x) = x**2 + 19*x - 6. Let f be r(-16). Let b = 34 - f. Solve 9 + s**2 + 0 + b*s - 82*s = 0.
-3
Suppose 13*v = 6*v + 14. Factor 79*m**2 + 1000*m - 162*m**v + 3125 + 163*m**2.
5*(4*m + 25)**2
Let t = 3/1304 + 59/9780. Let q(y) be the second derivative of 0*y**3 - t*y**4 + 0*y**2 + 1/300*y**6 + 0*y**5 + 4*y + 0. Factor q(z).
z**2*(z - 1)*(z + 1)/10
Let b = 2574 + -2574. Factor -1/3*g**4 + 2/3*g**3 + b + 0*g**2 + 0*g.
-g**3*(g - 2)/3
Let i(h) = -78*h - 4185. Let x be i(-54). Let o(p) be the second derivative of 0 + x*p - 2*p**2 - 4/3*p**3 - 1/3*p**4. Factor o(u).
-4*(u + 1)**2
Let m(u) = u**4 + 3*u**3 - u**2 + u + 1. Let f(l) = -16*l**4 - 65*l**3 + 133*l**2 - 187*l + 60. Let j(z) = 2*f(z) + 30*m(z). Determine d so that j(d) = 0.
-25, 1, 3
Let k(p) be the third derivative of p**6/132 + 23*p**5/330 + 5*p**4/66 - 8*p**3/33 - 453*p**2. Factor k(i).
2*(i + 1)*(i + 4)*(5*i - 2)/11
Let q be ((-450)/(-63))/(1/7). Let m be (-2)/q*((-75)/2)/15. Factor m*v + 3/10*v**2 - 3/10 - 1/10*v**3.
-(v - 3)*(v - 1)*(v + 1)/10
What is t in 68/9*t**3 + 0 + 4/9*t**4 + 20/3*t + 124/9*t**2 = 0?
-15, -1, 0
Let c(f) = -166*f**2 + 1620*f - 1619. Let t(w) = 111*w**2 - 1620*w + 1619. Let m(g) = -2*c(g) - 3*t(g). What is i in m(i) = 0?
1, 1619
Let w(v) be the second derivative of v**4/3 - 7*v**3/6 - 15*v**2 + 18*v - 31. Solve w(i) = 0.
-2, 15/4
What is a in 296/13 + 464/13*a**3 - 30/13*a**4 - 266/13*a**2 - 464/13*a = 0?
-1, 2/3, 1, 74/5
Let v = 11356 - 11354. Let x(h) be the second derivative of 0 + 1/6*h**4 + 0*h**v - 1/3*h**3 - 8*h. What is y in x(y) = 0?
0, 1
Let l(v) be the second derivative of 0*v**3 + 0*v**2 - 2 + v**4 - 1/5*v**5 - v. Factor l(f).
-4*f**2*(f - 3)
Let j(o) be the second derivative of -2*o + 16/21*o**3 + 5/42*o**4 - 34 - 2/7*o**5 - 1/105*o**6 - 4/7*o**2 + 4/147*o**7. Let j(z) = 0. What is z?
-2, -1, 1/4, 1, 2
Let k(c) = c**3 + 5*c**2 + 15*c - 26. Let l be k(-8). Let n = -338 - l. Suppose 3/5*w**3 + n + 3/5*w**4 + 0*w**2 + 0*w = 0. Calculate w.
-1, 0
Let j = 177 + -174. Factor -15 - 44*x + 2*x**3 - 21*x**3 - x**j + 5*x**4 + 64*x + 10*x**2.
5*(x - 3)*(x - 1)**2*(x + 1)
Let t(w) be the first derivative of -1/2*w**3 - 1/12*w**6 + 119 + 0*w - 7/8*w**4 + 0*w**2 - 1/2*w**5. Find v such that t(v) = 0.
-3, -1, 0
Determine y, given that -36 - 2/3*y**4 - 30*y + 10/3*y**3 + 10*y**2 = 0.
-3, -1, 3, 6
Let t be (-6 - 66)/(-9) + (-6)/1. What is y in 333 + 23*y + 25*y - 15*y - 333 - y**t = 0?
0, 33
Suppose 184*k + 204 = 286*k. Let i(o) be the first derivative of -k*o**2 + 1/6*o**6 - 20 - 4/3*o**3 + 0*o + 3/4*o**4 + 4/5*o**5. Factor i(g).
g*(g - 1)*(g + 1)*(g + 2)**2
Solve 0 + 7/5*n**2 + 1/5*n**5 - 7/5*n**4 + 11/5*n**3 - 12/5*n = 0 for n.
-1, 0, 1, 3, 4
Find n, given that -87/2*n**2 - 26 - 1/2*n**4 - 121/2*n - 19/2*n**3 = 0.
-13, -4, -1
Factor 395*u**2 + 18042*u + 4*u**3 + 25339 + 20917 - 19*u**2 - 2*u**3 - 11660.
2*(u + 2)*(u + 93)**2
Find o such that -140/3*o + 0 - 220/3*o**3 - 226*o**2 - 6*o**4 = 0.
-7, -5, -2/9, 0
Suppose -210*j - 116 + 380 + 156 = 0. Factor -6 + 6*c + 3/2*c**j - 3/2*c**3.
-3*(c - 2)*(c - 1)*(c + 2)/2
Factor -969/5 - 387*w - 963/5*w**2 + 3/5*w**3.
3*(w - 323)*(w + 1)**2/5
Suppose -3*o - 4 = 2*x - o, 3*o = -15. Factor -8*r - 45*r**2 + 5*r**4 + 27*r**x - 8*r**4 + 37*r - 8*r.
-3*r*(r - 7)*(r - 1)**2
Let s(q) be the first derivative of 11/9*q**3 + 144 - 1/15*q**5 - 12*q - 2*q**2 + 1/6*q**4. Factor s(o).
-(o - 3)**2*(o + 2)**2/3
Let i be -1 - (3 + -4)*1*5. Suppose -i*l + 1 = -3*h, -6*h = l - 4*h - 14. Factor 3*v**3 - 27*v**3 - 3*v**2 + 34*v**2 + l*v**5 - 12*v + v**2.
4*v*(v - 1)**3*(v + 3)
Let i(c) be the first derivative of -9*c**4/4 + 80*c**3 + 54*c**2 - 181*c - 167. Let h(z) be the first derivative of i(z). Suppose h(w) = 0. What is w?
-2/9, 18
Let a(w) = w**2 + 19*w + 75. Let f be a(-14). Let m be f - (-2)/(-70)*95. What is i in -32/7*i**2 - 2/7 - m*i = 0?
-1/4
Let i(u) be the second derivative of u**4/18 + 3*u**3 - 66*u**2 + 14*u - 99. Suppose i(p) = 0. What is p?
-33, 6
Let q(w) = w**4 - 5*w**3 - 13*w**2 - 15*w + 56. Let r(m) = -m**4 + 3*m**3 + 14*m**2 + 16*m - 56. Let h(f) = -4*q(f) - 5*r(f). Determine t so that h(t) = 0.
-7, -2, 2
Let j be ((-20)/(5000/(-25)))/((-2)/(-8)). Find g, given that -j*g**2 + 26/5*g - 24/5 = 0.
1, 12
Let g(t) = 15*t**2 - 75*t + 84. Let j(a) = 12*a**2 - 78*a + 86. Let z(h) = 5*g(h) - 6*j(h). Solve z(f) = 0 for f.
-32, 1
Suppose -f = 3*v - 10, 3*f - 18 = -5*v + 4. Factor -30*p**v - 3*p**5 - 37*p**2 + 5 - 11*p**4 + 61*p**2 - 4 - 14*p**3 + p.
-(p + 1)**4*(3*p - 1)
Suppose 4*i + 4*p - 8*p = 24, -2*i + 3*p + 12 = 0. Suppose -80 = -i*q - 2*q. Let 3*o**3 - 118 + 12*o**4 + 3*o**5 - 8*o**2 - q*o**2 + 118 = 0. What is o?
-3, -2, 0, 1
Let q(w) = 213*w**2 + 768*w - 1506. Let h(p) = -177*p**2 - 767*p + 1507. Let r(g) = 6*h(g) + 5*q(g). Let r(c) = 0. What is c?
2, 252
Factor -168*u - 66*u - 386*u - 350 - 4*u**2 - 266.
-4*(u + 1)*(u + 154)
Let l(x) be the first derivative of 2*x**3/3 - 80*x**2 + 158*x + 5507. Find j such that l(j) = 0.
1, 79
Suppose -11*d - 927 + 938 = 0. Let w be (11*8/264)/(d/6). Factor 15/8*j**3 - 3*j**4 - 1/4*j**2 + 0*j - w*j**5 + 0.
-j**2*(j + 2)*(4*j - 1)**2/8
Let n = -6934/265 + 1514/53. Determine l, given that 2*l**4 - 26/5*l + 26/5*l**3 + n - 22/5*l**2 = 0.
-3, -1, 2/5, 1
Let z(n) = n**2 + 7*n + 13. Let o(v) = -2*v**2 - 6*v - 14. Let m(c) = -3*o(c) - 4*z(c). Let r be m(6). Factor f**3 - 3*f - 59*f**2 + 59*f**r - 2.
(f - 2)*(f + 1)**2
Let d = 149/47 + -157/94. Let j(h) be the first derivative of 3/8*h**2 + 4 + d*h - 1/4*h**3. Factor j(v).
-3*(v - 2)*(v + 1)/4
Let t(l) = -636*l**3 + 147*l**2 + 1119*l - 279. Let z(f) = -148*f**3 + 37*f**2 + 280*f - 70. Let j(b) = 2*t(b) - 9*z(b). Determine v, given that j(v) = 0.
-2, 1/4, 12/5
Let f(j) be the first derivative of -5*j**7/42 + j**5 + 5*j**4/6 - 5*j**3/2 - 5*j**2 + 23*j + 28. Let w(g) be the first derivative of f(g). Factor w(r).
-5*(r - 2)*(r - 1)*(r + 1)**3
Let g = 122796 + -368360/3. Factor g*q + 4/3*q**2 - 24.
4*(q - 2)*(q + 9)/3
Let p(n) be the second derivative of 0*n**3 + 0*n**2 + 0*n**4 - 1/19*n**5 + 7/285*n**6 - 18*n - 1/399*n**7 + 0. Find h such that p(h) = 0.
0, 2, 5
Let a be (2 - 17)*(7 - -2) + -2. Let z = a + 140. Factor 6/7*v**z + 34/7*v - 8/7 - 32/7*v**2.
2*(v - 4)*(v - 1)*(3*v - 1)/7
Let u(d) = -7*d**3 - 124*d**2 - 1127*d - 440. Let z(o) = 40*o**3 + 743*o**2 + 6763*o + 2639. Let w(l) = 35*u(l) + 6*z(l). Factor w(m).
-(m - 31)*(m + 7)*(5*m + 2)
Let q(j) be the second derivative of 1/3*j**3 + 29*j - 1/6*j**4 + 1/40*j**5 + 0 + 0*j**2. Factor q(m).
m*(m - 2)**2/2
Let r(w) = 2*w**2 + 8*w + 20. Suppose 4*k - 3 = -27. Let j be r(k). Factor -6*z**2 + j*z**4 + 2*z**3 - 41*z**4 - 6*z**3 + z**3.
3*z**2*(z - 2)*(z + 1)
Let h(l) = 40*l + 257. Let c be h(-7). Let n be 132/c + 18/63*21. Factor -2/23*k**2 + n*k + 0.
-2*k*(k - 3)/23
Let u = -548176/7 - -78316. Factor 0*s**3 + 4/7*s**4 + 0*s - u*s**2 + 0.
4*s**2*(s - 3)*(s + 3)/7
Let u(g) be the second derivative of g**7/21 - g**6/5 - 41*g**5/10 + 41*g**4/2 + 220*g**3/3 - 300*g**2 + 12*g - 137. Let u(j) = 0. What is j?
-6, -2, 1, 5
Let m(v) = v**4 + 2*v**3 - 10*v**2 + v. Let d(z) = -7*z**4 - 28*z**3 + 63*z**2 + 44*z + 32. Let l(h) = -d(h) - 6*m(h). Find x, given that l(x) = 0.
-16, -1, 2
Let t = 755399784/3902488645 + 1/2509639. Let v = 2/311 + t. Determine x so that 0*x - v*x**2 + 2/5*x**3 - 1/5*x**4 + 0 = 0.
0, 1
Let z(o) = -7*o**2 + o + 7*o**2 - 3*o**3 - o**2 + 2. Let x be z(-1). Solve -8 - 6 + 52*m**2 + 3*m**x + 2 - 43*m**2 = 0 for m.
-2, 1
Let n be 4 - (-17 - (41 + -55))*(-1)/3. Factor 25/2*q + 11*q**2 - 1/2*q**n - 23.
-(q - 23)*(q - 1)*(q + 2)/2
Let r(v) be the first derivative of 346*v**3 + 2*v**2 - 2029. Factor r(x).
2*x*(519*x + 2)
Let u(c) = -3*c**5 - 3*c**4 - 17*c**3 + c**2 + 18*c. Let o(q) = 2*q**5 - q**3 + q**2. Let f(m) = 2*o(m) + u(m). Let f(k) = 0. Calculate k.
-3, -1, 0, 1, 6
Suppose l + m - 9 = -3, 5*l = 4*m - 6. Suppose z**5 - 12*z**l + 124 - 11*z**3 + 125 + 36*z - 249 + 2*z**4 = 0. Calculate z.
-3, 0, 2
Factor -33*w**2 - 132*w + 14*w**3 + 52*w**2 + 24 + 28*w + 47*w**2.
2*(w - 1)*(w + 6)*(7*w - 2)
Let s(g) be the first derivative of -7*g**4/8 - 2*g**3/15 + 5*g**2/4 - 3*g/5 + 12651. Let s(a) = 0