) = 0?
-1, 0
Suppose 0 = -9*j + 2348 - 665. Let 3125 + 5*u**2 + 145*u + 292*u - j*u = 0. Calculate u.
-25
Let l(a) = 268*a - 18221. Let h be l(68). Factor -32*b - 13*b**2 - 16 - 3/2*b**h.
-(b + 4)**2*(3*b + 2)/2
Factor 5*t**4 - 386*t**2 + 9 + 36 + 8*t - 28*t + 356*t**2 + 5*t**3 - 5.
5*(t - 2)*(t - 1)*(t + 2)**2
Let t = -36380 + 36386. Let a(h) be the third derivative of 0*h - 1/20*h**4 - 1/20*h**5 + 0*h**3 - 31*h**2 - 3/200*h**t + 0. Factor a(k).
-3*k*(k + 1)*(3*k + 2)/5
Let b(a) be the first derivative of a**4/18 - 4*a**3/9 - 28*a + 123. Let y(d) be the first derivative of b(d). Factor y(s).
2*s*(s - 4)/3
Factor 45*m + m**2 - 174 - 99*m - 138*m - 4*m**2 + 15*m.
-3*(m + 1)*(m + 58)
Let s(w) be the first derivative of -w**6/300 - w**5/75 + w**4/60 + 2*w**3/15 + 2*w**2 - w + 67. Let q(k) be the second derivative of s(k). Factor q(i).
-2*(i - 1)*(i + 1)*(i + 2)/5
Factor -3/4*r**3 + 1527 - 1530*r + 1539/4*r**2.
-3*(r - 509)*(r - 2)**2/4
Let i = -7 + 75. Let d = 71 - i. Factor -22*t**3 - 32*t**2 + 0*t**3 - 10*t**d + 2 + 2*t.
-2*(t + 1)*(4*t - 1)*(4*t + 1)
Let o(v) = -20*v - 74. Let k be o(-4). Suppose 3*m = -28*r + 24*r + k, -4*m + 8 = 4*r. Factor 0 + 2*g**3 - 3/2*g + 11/2*g**m.
g*(g + 3)*(4*g - 1)/2
Let z(j) = j**3 - 6*j**2 + j - 1. Let h(l) = 6*l**3 - 45*l**2 + 35*l - 7. Let v(d) = -2*h(d) + 14*z(d). Solve v(t) = 0 for t.
-7, 0, 4
Let j(a) = -a**2 + 21*a - 18. Let i be j(20). Suppose 0*o - o - i*o + 9*o + 2*o**2 = 0. Calculate o.
-3, 0
Let i(a) be the third derivative of 11/6*a**4 + 8*a**3 + 0 - 97*a**2 + 0*a - 1/15*a**5. Factor i(z).
-4*(z - 12)*(z + 1)
Let m(c) be the third derivative of -1/150*c**6 - 111*c**2 + 1/1575*c**7 + 0*c + 0 + 0*c**3 + 0*c**4 + 0*c**5. Factor m(z).
2*z**3*(z - 6)/15
Let i = 37372 + -37370. Factor -84/5*u - 12 + 9/5*u**i.
3*(u - 10)*(3*u + 2)/5
Let b(p) be the first derivative of -p**4/20 - 1436*p**3/15 + 575*p**2/2 - 1438*p/5 - 1802. Solve b(t) = 0.
-1438, 1
Let v = 1 - 5. Let f be (v/1 - -3)*(-1 - -1). Factor -4*c**2 + 5*c + 38*c**3 + 3 - 5 + f - 37*c**3.
(c - 2)*(c - 1)**2
Let w(u) = -5637*u**3 + 4411*u**2 + 628*u + 15. Let x(p) = 5636*p**3 - 4412*p**2 - 626*p - 16. Let l(d) = -4*w(d) - 5*x(d). Let l(r) = 0. Calculate r.
-1/16, 10/11
Let u be -2*(3 + -5 + 1). Factor 2*m**5 + 12*m**4 - 32*m**u - 2*m**3 - 292*m - 4*m**3 + 316*m.
2*m*(m - 1)**2*(m + 2)*(m + 6)
Let d = -222 + 225. Factor -56 - 15*o**3 + 31*o**d - 2*o**2 - 8*o**2 + 52*o - 17*o**3.
-(o - 2)**2*(o + 14)
Let j(m) be the third derivative of m**5/30 - 55*m**4/12 - 434*m**3/3 - 8*m**2 + 6*m. Factor j(o).
2*(o - 62)*(o + 7)
Let c(m) be the first derivative of -13 - 6*m - 1/2*m**2 - 1/40*m**5 - 1/8*m**4 + 1/60*m**6 + 5/12*m**3. Let v(h) be the first derivative of c(h). Factor v(a).
(a - 1)**3*(a + 2)/2
Let k(f) = f**3 + f**2 + f + 4. Let j be k(0). Let t = -12 - -17. Suppose 2*r**j + 5*r**4 + 2*r**2 - 4*r**4 - t*r**4 = 0. What is r?
-1, 0, 1
What is g in -81*g**3 + 43*g**4 - 24*g - 2*g**5 - 5*g**5 + 75*g**2 + 4*g**5 - 10*g**4 = 0?
0, 1, 8
Suppose 8*w + 377 = 129. Let o be (w/(-248))/((-1)/(-4)). Factor o*t**2 + 6*t + 18.
(t + 6)**2/2
Let t = 22 + 0. Let m = 34 - t. Find g such that m*g**2 + 32 + 18*g**2 + 16*g - 28*g**2 = 0.
-4
Factor 117/8*f - 1/8*f**3 - 9/2*f**2 + 0.
-f*(f - 3)*(f + 39)/8
Let g = 1681057/9 + -186783. Suppose 0*j - 8/9*j**2 - 16/9*j**3 + 0 + g*j**5 + 14/9*j**4 = 0. What is j?
-2, -2/5, 0, 1
Let u(q) be the second derivative of 0*q**3 - 1/45*q**6 + 0*q**2 + 74*q + 1/18*q**4 + 0 + 0*q**5. Suppose u(l) = 0. Calculate l.
-1, 0, 1
Let z = -91 - -97. Let i be (-18)/39*(-512)/z. Find o, given that -32/13*o**3 - 192/13*o**2 - 2/13*o**4 - 512/13 - i*o = 0.
-4
Let y = 703 + -700. Suppose -6*c - 7*c + 10*c = 0. Find v such that -3/5*v**4 + 0*v + c*v**2 - 3/5*v**y + 0 = 0.
-1, 0
Let c(n) be the first derivative of 1/14*n**4 - 5/7*n**2 + 6/7*n + 2/21*n**3 + 68. Find b such that c(b) = 0.
-3, 1
Let g be (-133)/28*4168/14. Let t = g + 1415. Suppose 3/7*u**4 - t*u + 6/7*u**3 + 0*u**2 - 3/7 = 0. Calculate u.
-1, 1
Let h(y) be the first derivative of -6*y**5/5 - 28*y**4/3 - 8*y**3/3 + 97. Determine s so that h(s) = 0.
-6, -2/9, 0
Let n(s) = s**3 + 11*s**2 + 33*s - 25. Let w(k) = 2*k**3 + 10*k**2 + 34*k - 22. Let v = -77 + 71. Let a(u) = v*n(u) + 5*w(u). Factor a(m).
4*(m - 5)*(m - 1)*(m + 2)
Let 6*z**3 - 841*z**2 + 616*z**2 - z**3 - 282*z - 28*z - 940*z = 0. Calculate z.
-5, 0, 50
Let i(y) = -3*y**3 - 43*y**2 - 22*y - 5. Let j be i(-13). Let t = 1976/5 + j. Factor -t*f + 1/5*f**3 + 4/5 - 4/5*f**2.
(f - 4)*(f - 1)*(f + 1)/5
Let n(z) be the first derivative of 3*z**5/100 - 23*z**4/10 + 529*z**3/10 + 77*z + 137. Let i(h) be the first derivative of n(h). Let i(b) = 0. Calculate b.
0, 23
Let b(r) be the second derivative of 23*r**4/6 + 21*r**3 + 41*r**2/2 + 9*r. Let g(u) = 1 + 12 + 3 - 8 + 25*u + 9*u**2. Let v(d) = 6*b(d) - 33*g(d). Factor v(t).
-3*(t + 3)*(7*t + 2)
Let p = 239 - 18. Let s be (5 - 1) + ((-391)/p - 1). Factor 2/13*h**3 - s*h**2 + 16/13 - 2/13*h.
2*(h - 8)*(h - 1)*(h + 1)/13
Let c be (-1)/(((-4)/(-232))/1). Let x = c - -83. Suppose -q**2 + 21*q**3 - 2*q**2 + q - x*q**3 = 0. What is q?
-1, 0, 1/4
Let r(j) = 2*j**3 + 2*j**2 + j + 2. Let n(u) = 7*u**3 - 12*u**2 + 35*u + 6. Let s(a) = 2*n(a) - 6*r(a). Let s(q) = 0. Calculate q.
0, 2, 16
Let w be (90/75)/(144/240). Suppose -2*a = -4*o - 0*a + 22, -17 = -4*o + a. What is d in -8/3*d + 1/3*d**4 + 8/3*d**o + 5*d**w - 16/3 = 0?
-4, -1, 1
Let s be (3 + -1)/((-65)/(-5) - 4). Let k(a) be the first derivative of -10/3*a**2 - 50/3*a + 8 - s*a**3. Factor k(y).
-2*(y + 5)**2/3
Let a(t) be the first derivative of 2*t**3/51 + 71*t**2/17 - 2184*t/17 - 4992. Factor a(o).
2*(o - 13)*(o + 84)/17
Let w(r) be the third derivative of r**8/1848 - 8*r**7/1155 - 7*r**6/330 + 8*r**5/55 - 9*r**4/44 - 505*r**2. Determine k, given that w(k) = 0.
-3, 0, 1, 9
Factor 116/3*t**2 + 38 - 229/3*t - 1/3*t**3.
-(t - 114)*(t - 1)**2/3
Let b(u) be the third derivative of 9/8*u**4 + 1/2*u**3 - 12/35*u**7 + 0*u + 7/40*u**6 + 33*u**2 + 0 - 1/7*u**8 + 23/20*u**5. Solve b(a) = 0.
-1, -1/4, 1
Let l(p) = 33*p**3 + 39*p**3 + 39*p**3 - 112*p**3 - p - p**2. Let w(m) = 4*m**3 + 16*m**2 + 22*m + 9. Let y(h) = l(h) + w(h). Factor y(s).
3*(s + 1)**2*(s + 3)
Let l(b) be the first derivative of -2*b**5/45 - 2*b**4 + 28*b**3 - 132*b**2 + 270*b + 2122. Factor l(w).
-2*(w - 3)**3*(w + 45)/9
Let i(m) = -58*m**3 + 119*m**2 + 511*m - 672. Let a(s) = 14*s**3 - 30*s**2 - 128*s + 168. Let b(d) = 25*a(d) + 6*i(d). Factor b(o).
2*(o - 21)*(o - 1)*(o + 4)
Let a = -55555/12 - -35537/6. Let x = a - 1293. Factor x*t**4 + 21/4*t**2 + 2*t**3 + 0 + 9/2*t.
t*(t + 2)*(t + 3)**2/4
Let f be 6*(-20)/8*(-6)/(-15). Let d be 94 + -92 + 10/f. Factor 2 - 1/3*u - d*u**2.
-(u - 2)*(u + 3)/3
Let v(j) be the second derivative of -j**5/45 + 122*j**4/9 - 7360*j**3/3 - 135424*j**2/9 + 4432*j. Suppose v(c) = 0. Calculate c.
-2, 184
Let i(x) be the second derivative of x**7/21 - 2*x**6/3 - 27*x**5/10 + 14*x**4/3 + 92*x**3/3 + 48*x**2 - 595*x. Determine w, given that i(w) = 0.
-2, -1, 2, 12
Let o(x) be the first derivative of -2*x**6/3 - 12*x**5/5 + 78*x**4 + 968*x**3/3 + 486*x**2 + 324*x + 4482. Factor o(k).
-4*(k - 9)*(k + 1)**3*(k + 9)
Let d(q) = -15*q**3 - 801*q**2 + 3156*q - 3078. Let o(z) = 27*z**3 + 1601*z**2 - 6310*z + 6165. Let u(h) = 11*d(h) + 6*o(h). Factor u(s).
-3*(s - 261)*(s - 2)**2
What is f in -258577*f**2 - 468521*f**2 + 2661*f**3 + 94676*f**2 - 6561*f**3 - 5*f**4 - 128078*f**2 = 0?
-390, 0
Let n(b) = -5*b**3 + 24*b**2 + 5*b + 2. Let x be n(5). Factor 204*v**x - 109*v**3 + 64 + 33*v**3 - 4*v**4 + 8*v**4 - 196*v.
4*(v - 16)*(v - 1)**3
Suppose 10*r + 605 = 625. Suppose 0 = -r*h - 2*t, 28*h = 23*h - t. Factor h + 3/5*y**5 - 6/5*y**2 + 0*y**4 - 9/5*y**3 + 0*y.
3*y**2*(y - 2)*(y + 1)**2/5
Suppose -51*y - 76*y + 77*y = 0. Let u(b) be the third derivative of 0*b + y - 2/3*b**3 - 2/15*b**5 - 6*b**2 - 3/4*b**4. Factor u(t).
-2*(t + 2)*(4*t + 1)
Let j be ((-60252)/100420)/(-1*1 - 2253/(-2280)). Factor j*i - 2/3*i**2 - 2888/3.
-2*(i - 38)**2/3
Let l(z) be the second derivative of -z**6/15 - 111*z**5/50 - 317*z**4/30 - 83*z**3/5 - 38*z**2/5 + 604*z. Solve l(g) = 0.
-19, -2, -1, -1/5
Suppose -30*y + 3*y = -189. Let z(h) be the first derivative of -1/4*h**4 + h**3 + 1/2*h**2 - y - 3*h. Fac