 2*w**2 - 758*w**3 - 12*w**2 + 753*w**g - 20 = 0. What is w?
-4, 1
Solve -1350*d**2 - 2/3 + 60*d = 0.
1/45
Let x be (-1 - 1)/4 - (-74)/4. Let w be 6/(x/25) + 12/(-4). Let w - 8/3*o + 1/3*o**2 = 0. Calculate o.
4
Suppose 2*t + 39 - 108 = n, -2*n + 5*t = 140. Let c = -61 - n. Factor 2*d**5 - 8*d**3 + 18*d**3 - 8*d**2 + 10*d**c + 12*d**2 - 2*d**4.
2*d**2*(d + 1)**2*(d + 2)
Let o(u) be the third derivative of u**5/36 + 645*u**4/4 + 748845*u**3/2 - 2*u**2 + 392*u. Solve o(c) = 0.
-1161
Let o = 16510/33021 - -1/66042. Find d such that 3/2*d**3 + 0 + d + 1/2*d**4 - 5/2*d**2 - o*d**5 = 0.
-2, 0, 1
Suppose 5*h - 3 = -18*g + 15*g, -16 = 4*g. Determine d, given that 5*d**h + 248*d + 729 + 63*d**2 + 157*d - 2*d**3 = 0.
-9, -3
Let u(f) be the third derivative of 0*f**3 - 1/360*f**6 + 4 + 1/24*f**4 + 1/90*f**5 + 10*f**2 + 0*f. Factor u(s).
-s*(s - 3)*(s + 1)/3
Let l(c) be the first derivative of 3*c**4/4 - c**3 - 90*c**2 - 324*c - 3961. Factor l(f).
3*(f - 9)*(f + 2)*(f + 6)
Let p be (-45)/((-7695)/18) - 55/(-19). Find q, given that 64/5 - 4*q**p - 112/5*q - 112/5*q**2 = 0.
-4, -2, 2/5
Let i(k) = 801 + 746 - 1800 + 191*k + 634 + k**2. Let c be i(-2). Factor -3/5*p**4 - 3/5*p**c + 0*p + 0 + 6/5*p**2.
-3*p**2*(p - 1)*(p + 2)/5
Suppose -258*r**5 + 20*r**4 + 3568*r**3 + 30 - 3652*r**3 - 107*r + 142*r**2 + 257*r**5 = 0. Calculate r.
1, 2, 15
Let d(p) be the third derivative of -p**5/10 + 35*p**4/3 + 64*p**3 + p**2 + 26*p + 7. Determine n so that d(n) = 0.
-4/3, 48
Let v = -7116 - -7119. Let k(w) be the first derivative of -1/20*w**4 - 2/5*w**2 + 0*w + 4/15*w**v + 26. Determine l so that k(l) = 0.
0, 2
Factor 0 + 3/7*v**4 + 0*v**2 - 30/7*v**3 + 0*v.
3*v**3*(v - 10)/7
Let h(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - 92*y**3 + 648*y**2 - 1728*y + 524. Factor h(b).
3*(b - 4)**2*(b - 3)*(b + 12)
Suppose 40 = -140*g + 148*g. Let r(x) be the second derivative of 1/24*x**4 + 1/12*x**2 - 1/12*x**3 + 0 - 15*x - 1/120*x**g. Factor r(k).
-(k - 1)**3/6
Factor -251*a**3 + 3*a**4 + 35*a**3 + 138*a**3 + 252*a**2 + 2400 + 2040*a.
3*(a - 20)*(a - 10)*(a + 2)**2
Let m(s) = -50*s**3 - 834*s**2 - 1226*s - 488. Let q(h) = 2*h**2 - 3*h + 4. Let a(c) = m(c) + 2*q(c). Factor a(l).
-2*(l + 15)*(5*l + 4)**2
Let c be ((-2 + 2)/(-1))/2 + 6/4. Let n(d) be the first derivative of -c*d**2 + 0*d + 2 - 1/6*d**3 + 3/4*d**4 + 1/10*d**5. Determine p, given that n(p) = 0.
-6, -1, 0, 1
Let j be (1/(-2))/((-49)/14 - -2). Suppose -28*h + 25 = -27*h - 5*p, 4*h = 5*p + 25. Determine g, given that 0*g**2 + h + j*g - 1/3*g**3 = 0.
-1, 0, 1
Find g such that 14/19*g**3 - 36/19*g - 2/19*g**5 + 0 - 30/19*g**2 + 6/19*g**4 = 0.
-2, -1, 0, 3
Let q(n) be the first derivative of -2*n**3/27 + 191*n**2/9 - 84*n + 2409. Factor q(o).
-2*(o - 189)*(o - 2)/9
Let t(f) = -10*f**2 - 101*f - 5. Let r be t(-10). Let o(c) be the second derivative of -9*c - 1/60*c**4 + 0 + 0*c**2 - 1/100*c**r + 0*c**3. Factor o(s).
-s**2*(s + 1)/5
Suppose -2*p - 3*z = -26, -12*p + 4*z - 32 = -14*p. Factor -1/4*u**2 - 1/4*u + 1/4*u**3 + 0 + 1/4*u**p.
u*(u - 1)*(u + 1)**2/4
Let q(y) be the third derivative of 17*y**6/45 + 11*y**5/15 - 205*y**4/18 + 4*y**3/3 - 232*y**2 + 9. Factor q(h).
4*(h - 2)*(h + 3)*(34*h - 1)/3
Let h(k) = -2*k**3 + 206*k**2 + 144*k - 16. Let q(y) = -y**3 + 70*y**2 + 47*y - 6. Let g(w) = -3*h(w) + 8*q(w). Determine x, given that g(x) = 0.
-28, -1, 0
Suppose 5*y + 3*c = -129, 2*c = -y + 19 - 49. Let l = 172/7 + y. Factor l*j**2 - 16/7*j + 12/7.
4*(j - 3)*(j - 1)/7
Suppose 0 = -3*w + 4*j - 8*j + 720, -15 = -5*j. Determine a so that -231 + 35*a**3 + 467 + 70*a - 255*a**2 - w = 0.
0, 2/7, 7
Find v, given that -487272*v**2 - 249*v + 487270*v**2 + 9*v = 0.
-120, 0
Solve 432/7*q - 4*q**2 - 180/7 = 0.
3/7, 15
Suppose 29*w = 32*w - 6. Suppose 2 = 2*s - w. Find b such that -b + s - 21*b**2 - 4 + 22*b**2 = 0.
-1, 2
Let v(t) = -4*t**3 - 2*t**2 + 4*t + 5. Let k(y) = 4*y**3 + 3*y**2 - 5*y - 4. Let m = -200 + 197. Let n(z) = m*k(z) - 2*v(z). Factor n(i).
-(i - 1)*(i + 2)*(4*i + 1)
Let f(u) be the first derivative of -2*u**6/21 - 36*u**5/35 - 23*u**4/7 - 20*u**3/7 - 1430. What is l in f(l) = 0?
-5, -3, -1, 0
Let y(t) be the third derivative of -5*t**8/336 + 5*t**7/42 + 5*t**6/4 + 25*t**5/6 + 175*t**4/24 + 15*t**3/2 - 2957*t**2. Factor y(g).
-5*(g - 9)*(g + 1)**4
Let z = 238736 - 238720. Suppose 57/2*p + 5/2*p**3 + 9 + z*p**2 = 0. What is p?
-3, -2/5
Suppose -98*i = -99*i + 183. Let r = 185 - i. Find j, given that -2/3*j**3 + 16/9*j**r + 8/9 + 10/3*j = 0.
-1, -1/3, 4
Let y(w) be the second derivative of w**6/30 + 3*w**5/20 - w**4/4 - 7*w**3/6 + 3*w**2 + 871*w. Factor y(b).
(b - 1)**2*(b + 2)*(b + 3)
Suppose -5*m - 5*z - 50 = 0, m + 4*z - 23 = -63. Let -1/4*u**2 + 1/4*u + m = 0. Calculate u.
0, 1
Suppose 2594 + 2314 = 485*k - 912. Let -6 - k*v**2 + 45/2*v - 9/2*v**3 = 0. Calculate v.
-4, 1/3, 1
Suppose 3*m - 7 - 59 = 0. Solve -4220 - 2*i**2 + 8*i + 4220 - m*i = 0.
-7, 0
Let p(b) be the third derivative of -b**8/1344 + 11*b**7/280 - 31*b**6/240 - b**5/120 + 21*b**4/32 - 31*b**3/24 + 825*b**2. Factor p(q).
-(q - 31)*(q - 1)**3*(q + 1)/4
Suppose 4/5*w - 3/5*w**2 - 1/5 = 0. Calculate w.
1/3, 1
Let z be (2/(-4))/(5/(-200)). Suppose -5*c = -3*l - z, -3*c - l + 12 = -5*l. Factor -6*d**4 + d**5 + 6*d**3 - 2*d**4 + 2*d**4 + 2*d**c + d - 4*d**2.
d*(d - 1)**4
Let j be (0/2)/(106/(-53)). Let k(s) be the second derivative of -1/24*s**4 + 1/60*s**6 + j*s**5 - 14*s + 0 + 0*s**3 + 0*s**2. Solve k(g) = 0.
-1, 0, 1
Suppose 3*y + 421 = -r, -4*r - 974 = 5*y + 710. Let k = r + 2951/7. Solve -8/7*a**2 - k*a**5 - 4/7 + 12/7*a**4 + 12/7*a - 8/7*a**3 = 0.
-1, 1
Let t(z) be the first derivative of z**3 + 17*z - 1/10*z**5 + 2*z**2 + 0*z**4 - 9. Let x(l) be the first derivative of t(l). Factor x(g).
-2*(g - 2)*(g + 1)**2
Solve -9/5*x**2 + 1/5*x**3 - 49/5*x - 39/5 = 0 for x.
-3, -1, 13
Let h(d) be the third derivative of -1/45*d**4 + 0*d + 0 - 1/15*d**3 + 12*d**2 - 1/450*d**5. Factor h(b).
-2*(b + 1)*(b + 3)/15
Let t(s) be the first derivative of -2*s**3/3 - 18*s**2 - 130*s - 1585. Factor t(l).
-2*(l + 5)*(l + 13)
Let u(d) = -d**3 + 3*d**2 + 3*d + 1. Let s be u(-1). Factor -38*j**2 - 12*j**4 + 4*j**3 + 16*j + 38*j**2 + 32*j**s.
-4*j*(j - 2)*(j + 1)*(3*j + 2)
Let x(g) be the third derivative of g**5/300 - 9*g**4/20 + 52*g**3/15 - 53*g**2 + g + 7. Find v, given that x(v) = 0.
2, 52
Let y be (-60)/(-15) + (-3 + 4)*-2. Let i be (-76)/171*(-48)/y. Factor 14/3*l**3 - i*l**2 + 4 - 34/3*l.
2*(l - 3)*(l + 1)*(7*l - 2)/3
Suppose -1/4*f**2 - 259*f - 67081 = 0. Calculate f.
-518
Let m(t) be the second derivative of 22/105*t**6 - 30*t - 4/49*t**7 + 0 - 8/3*t**3 + 4/7*t**5 - t**4 - 8/7*t**2. Determine l so that m(l) = 0.
-1, -1/6, 2
Let r(y) = -82*y + 227. Let a be r(3). Let n be (-1 - 6/(-8))*(a - -15). Factor -n + 1/3*d**2 + 2/3*d.
(d - 1)*(d + 3)/3
Suppose -812*u + 811*u + 21 = 0. Solve -u*t + 17*t - 75 - 23*t - 3*t - 3*t**2 = 0.
-5
Let c be (16 - (-570)/(-35)) + 2/7. Let m(i) be the second derivative of c - 1/30*i**5 + 1/270*i**6 + 11/108*i**4 - 1/9*i**3 - 18*i + 0*i**2. Factor m(d).
d*(d - 3)*(d - 2)*(d - 1)/9
Suppose -8372 + 130 = -1898*r + 1248. Find n such that 1008*n**3 - 144/7 - 168*n**2 - 1029*n**r + 1617*n**4 - 1104/7*n = 0.
-2/7, 3/7, 2
Let f(y) be the second derivative of 110*y + 4*y**2 + 0 + 1/40*y**5 + 13/6*y**3 + 11/24*y**4. Suppose f(u) = 0. What is u?
-8, -2, -1
Let n(v) be the third derivative of 7/6*v**3 + 0*v + 0 - 1/40*v**5 + 11*v**2 + 3/32*v**4 + 1/480*v**6. Let h(f) be the first derivative of n(f). Factor h(s).
3*(s - 3)*(s - 1)/4
Let a be 13/2 - (-1)/(-2). Let d be 24/60 + ((-16)/5)/(-2). Find k such that -4*k - 6*k**2 + 0*k**d - a*k**2 = 0.
-1/3, 0
Let m = -55951/8 + 6994. Let q(r) be the first derivative of -m*r**4 + 0*r + 3/5*r**5 - 22 - 1/6*r**3 + 0*r**2. Let q(h) = 0. Calculate h.
-1/3, 0, 1/2
Let d = -24302860/139 + 174842. Let r = 16190/1251 + d. Factor 4*w**4 + 224/9*w**2 + 64/9 - 64/3*w - 4/9*w**5 - r*w**3.
-4*(w - 2)**4*(w - 1)/9
Suppose 1/5*h**3 - 146689/5 + 145923/5*h + 153*h**2 = 0. Calculate h.
-383, 1
Factor 18*d**2 + 23*d - 333 - 34*d + 60*d + 71*d - 21*d**2.
-3*(d - 37)*(d - 3)
Factor 388*c**3 + 8532*c**2 - 233*c - 367*c**3 - 276*c + 1163*c + 1782*c.
3*c*(c + 406)*(7*c + 2)
Factor 19546 - 12481 + 13673*g + 26110 + g**3 - 4423 + 2