*s**2 = 0. What is s?
-115, -2
Suppose 85/3*m**2 + 980/3*m + 500/3 - 380/3*m**3 + 5*m**4 = 0. What is m?
-1, -2/3, 2, 25
Let a(f) be the third derivative of -3*f**8/112 - 5*f**7/14 - 2*f**6 - 6*f**5 - 10*f**4 - 8*f**3 + 74*f**2. Solve a(l) = 0 for l.
-2, -1/3
Let g = 62 - 56. Factor -y**4 + 5*y**3 - g*y**2 - 7*y + 8 - 6*y + 9*y.
-(y - 2)**3*(y + 1)
Factor 1352*j + 12*j**3 + 11*j**3 - 37*j**3 + 91*j**2 - 3657 - 31495 + 15*j**3.
(j - 13)*(j + 52)**2
Let s = -349 - -355. Let n(g) be the third derivative of 6/5*g**5 + 16/3*g**3 + 0 + 14/3*g**4 + 4*g**2 + 0*g - 9/10*g**s - 18/35*g**7. Factor n(c).
-4*(c - 1)*(3*c + 2)**3
What is b in -1/7*b**2 - 23/7*b + 680/7 = 0?
-40, 17
Factor 2/9*r**3 + 736/9 + 10/3*r**2 - 112/3*r.
2*(r - 4)**2*(r + 23)/9
Let f(g) be the second derivative of g**5/20 - 131*g**4/12 + 259*g**3/6 - 129*g**2/2 + g - 264. Find u such that f(u) = 0.
1, 129
Let w(c) be the first derivative of c**4/10 + 2*c**3/15 - 56*c**2/5 - 6936. What is d in w(d) = 0?
-8, 0, 7
Let x be 12086/10 + 14/35. Let n be 2/(-6) + x/819. Suppose -10/7*m**2 + n - 6/7*m**3 + 8/7*m = 0. Calculate m.
-2, -2/3, 1
Let v(w) be the first derivative of -3*w**5/10 + 9*w**4/8 + 31*w**3/2 - 189*w**2/4 - 135*w - 4682. Let v(c) = 0. What is c?
-5, -1, 3, 6
Let q = 215223 - 215221. Factor -8427/4 - 3/4*g**q - 159/2*g.
-3*(g + 53)**2/4
Let k(x) be the third derivative of -x**6/180 + 59*x**5/90 + 8*x**2 - 6*x. Factor k(b).
-2*b**2*(b - 59)/3
Factor 336/5 - 76/5*x + 4/5*x**2.
4*(x - 12)*(x - 7)/5
Let 2*h**4 - 1/6*h**5 - 17/6*h**3 + 20/3 + 6*h - 17/3*h**2 = 0. What is h?
-1, 2, 10
Determine u, given that 229/2 + 1/2*u**2 + 115*u = 0.
-229, -1
Let a(h) = 68*h**4 - 620*h**3 + 960*h**2 + 80*h - 1280. Let l(r) = -14*r**4 + 126*r**3 - 192*r**2 - 16*r + 256. Let v(b) = 5*a(b) + 24*l(b). Solve v(c) = 0.
-1, 2, 16
Suppose -14*h = 3*j - 13*h - 44, -3*j - 3*h = -54. Let i be j/((-104)/32) + (-32)/(-3). Factor -i*s + 2/3*s**2 + 50/3.
2*(s - 5)**2/3
Suppose 30 = -10*k + 90. Suppose t - 31 = -k. Factor -2*j - 2*j + 8*j**3 - 4*j**5 + 25 - t.
-4*j*(j - 1)**2*(j + 1)**2
Let x(h) = -h**3 - 8*h**2 + h + 4. Let m(o) = -2*o**3 - 16*o**2 + 4*o + 7. Let g(l) = -4*m(l) + 7*x(l). Factor g(n).
n*(n - 1)*(n + 9)
Factor -287*l**4 - 522*l**3 + 91*l**4 + 99*l**4 + 94*l**4 - 3051*l**2 - 4536*l.
-3*l*(l + 3)**2*(l + 168)
Let s = 124173/10 - 24833/2. Factor 0 + s*p**5 - 48/5*p**2 + 16/5*p - 24/5*p**4 + 52/5*p**3.
4*p*(p - 2)**2*(p - 1)**2/5
Let c(v) be the first derivative of v**3/12 - v**2/8 - 3*v/2 - 1987. Factor c(i).
(i - 3)*(i + 2)/4
Let h(w) be the third derivative of -w**5/60 + 305*w**4/3 + 2441*w**3/6 - 2*w**2 + 1578*w. Find v, given that h(v) = 0.
-1, 2441
Solve 106*b**2 + 4664*b + 9702 - 9293*b + 6435*b + 2*b**3 = 0 for b.
-21, -11
Let g = 592243/4 - 148861. Let y = g - -801. What is m in -1/4*m**2 + y*m + 0 = 0?
0, 3
Let f be (4 - 3) + (-2 + 2 - -1). Suppose -5*o**3 + 29*o**f + 3*o**4 + 5*o - 2*o + 2*o**3 - 32*o**2 = 0. What is o?
-1, 0, 1
Let n(l) be the second derivative of l**6/90 + 13*l**5/60 - 5*l**4/12 - 13*l**3/18 + 7*l**2/3 + 3956*l. Factor n(v).
(v - 1)**2*(v + 1)*(v + 14)/3
Let t(c) be the first derivative of -1/27*c**6 - 64/9*c**2 - 67 + 0*c + 28/45*c**5 - 11/6*c**4 - 224/27*c**3. What is j in t(j) = 0?
-1, 0, 8
Let x(p) be the first derivative of -p**5/20 - 7*p**4/60 + 4*p**3/15 + 2*p**2/5 + 40*p - 62. Let q(h) be the first derivative of x(h). Solve q(s) = 0.
-2, -2/5, 1
Factor g**2 + 3*g**2 + 4050 + 2465 + 2284*g - 435 + 736.
4*(g + 3)*(g + 568)
Let d = 531152/7 - 75878. Suppose 20/7*t**3 - d*t**4 + 10/7 - 4/7*t**2 - 18/7*t - 2/7*t**5 = 0. Calculate t.
-5, -1, 1
Let y(m) be the first derivative of -3*m**5/10 + 45*m**4/8 - 33*m**3 + 87*m**2 - 108*m + 266. Find h such that y(h) = 0.
2, 9
Let s(a) = -a**3 + 146*a**2 + 673*a + 12385. Let c be s(151). Factor -17/5*m**2 - 52/5 - 1/5*m**c - 56/5*m.
-(m + 2)**2*(m + 13)/5
Let m(n) be the third derivative of n**5/480 + 127*n**4/192 - 8*n**3/3 + 405*n**2. Let m(a) = 0. Calculate a.
-128, 1
Find p such that 128*p**2 - 133*p**2 - 10019*p + 10019*p = 0.
0
Suppose 0 = 80*z + 53 - 293. Let x(w) be the third derivative of 1/20*w**5 - 1/120*w**6 + 0 + 0*w**4 + 0*w + 0*w**z + 14*w**2. Factor x(o).
-o**2*(o - 3)
Let a(x) = -9*x - 144. Let i be a(-16). What is v in -9*v**2 + 159*v**2 - 86*v**3 + 8*v**5 + i*v**5 - 72*v = 0?
-4, 0, 1, 3/2
Factor a**5 + 222*a**3 - 138*a**2 + 28719*a**4 - 28791*a**4 - 13*a**3.
a**2*(a - 69)*(a - 2)*(a - 1)
What is d in 2/7 + 15/7*d**4 + 79/7*d**2 + 61/7*d**3 + 5*d = 0?
-2, -1, -1/15
Factor -2/3*b**3 + 1/3*b**4 + 6*b + 0 - 3*b**2.
b*(b - 3)*(b - 2)*(b + 3)/3
What is b in 17 + 124 - 34 - 291*b - 40 + 3*b**2 + 221 = 0?
1, 96
Let y = 248066 + -1247017/5. Let f = -1329 - y. Factor -12/5*p**3 + 4*p**2 + 2/5*p**5 + f*p - 6/5*p**4 + 18/5.
2*(p - 3)**2*(p + 1)**3/5
Factor 6411*o**2 - 45515*o - 1359973 + 248350 + 5*o**4 - 315257 - 111*o**2 + 355*o**3 + 2395*o.
5*(o - 13)*(o + 28)**3
Let y(w) be the first derivative of 32/5*w + 2/15*w**3 + 2*w**2 - 27. Factor y(j).
2*(j + 2)*(j + 8)/5
Let v = -1727329/4 - -431836. Factor 159/4*h - v*h**2 + 33/2.
-3*(h - 11)*(5*h + 2)/4
Let j be (18*-1 - 315/(-21)) + (-164)/(-20). Solve j*q - 2/5*q**2 + 28/5 = 0.
-1, 14
Let m = 100/3753 - -6155/3753. Factor 2 - 1/3*w**2 + m*w.
-(w - 6)*(w + 1)/3
Let i(s) = -365*s**2 - 13845*s - 6035. Let h(o) = 30*o**2 + 1154*o + 503. Let g(x) = 35*h(x) + 3*i(x). Factor g(b).
-5*(b + 25)*(9*b + 4)
Let p(l) = -20*l**2 + 4*l. Let c(g) = 4*g**2 - g. Let b = 5 - 20. Let h = b - -18. Let z(w) = h*p(w) + 14*c(w). Factor z(q).
-2*q*(2*q + 1)
Let k(l) be the third derivative of -1/30*l**5 - 1/36*l**4 + 1/180*l**6 + 0*l + 0 + 1/315*l**7 + 142*l**2 + 2/9*l**3. Factor k(v).
2*(v - 1)**2*(v + 1)*(v + 2)/3
Let m be 6/33 - 107644/(-11). Suppose -8*x + 8358 = -m. Solve -1554*b**3 - 132 - 147*b**4 + 48*b - x*b - 55 - 4527*b**2 - 113 = 0.
-5, -2/7
Let h be -2 + 15/9 - 245/(-105). Factor 9/11*v**3 + 0 + 0*v - 8/11*v**h - 1/11*v**4.
-v**2*(v - 8)*(v - 1)/11
Let j = -296429 + 2667871/9. What is l in 20/9*l**2 + 2/9 - 20/9*l**3 + 10/9*l**4 - j*l - 2/9*l**5 = 0?
1
What is y in -68*y**3 + 1222*y**2 + 1089 + 280131*y - 6*y**4 - 282375*y + 7*y**4 = 0?
1, 33
Let t be -20 - -17 - 1*-6. Let g be t/(165/(-50))*(-6)/10. Factor -4/11*o + g - 2/11*o**2.
-2*(o - 1)*(o + 3)/11
Let l = 4338117/60085 + 4/12017. Factor 1/5*w**2 + l - 38/5*w.
(w - 19)**2/5
Let b(k) = 43*k**2 - 18*k + 56. Let n be b(4). Let m = n + -667. Let 12/7*p**2 + 4/7*p**3 - 2/7*p - 6/7 - 2/7*p**m - 6/7*p**4 = 0. What is p?
-3, -1, 1
Suppose 137 + 661 = 3*u. Factor -2*c**2 - 583 + u - 92*c - 741.
-2*(c + 23)**2
Let b = -206 + 222. Factor -120*m + 17*m**2 + 720 + 4*m**2 - b*m**2.
5*(m - 12)**2
Let z = 515 - 510. Let l(s) = s**2 + 404*s + 7992. Let d(c) = -405*c - 7990. Let v(r) = z*l(r) + 4*d(r). Factor v(p).
5*(p + 40)**2
Suppose 3*y + 3*s = y + 7, 0 = 3*y + 5*s - 11. Factor 3*l**y + 16 - 6 - 4 + 9*l.
3*(l + 1)*(l + 2)
Let u = 3400 + -3400. Let o(m) be the second derivative of 1/9*m**4 + 1/30*m**5 + u*m**2 - 9*m + 0 + 0*m**3. Find k such that o(k) = 0.
-2, 0
Let z(k) be the third derivative of 0*k - 1/40*k**4 - 1/600*k**6 + 1/60*k**5 - 1/1050*k**7 + 0 + 0*k**3 + 24*k**2. Solve z(h) = 0 for h.
-3, 0, 1
What is y in 12/7*y**2 + 144/7*y - 96/7*y**3 - 3/7*y**5 + 0 + 33/7*y**4 = 0?
-1, 0, 2, 4, 6
Let t = -1098 + 4393/4. Let m(p) be the third derivative of -1/20*p**6 - 1/30*p**5 + 2/3*p**3 - 1/105*p**7 + t*p**4 + 0*p + 0 + p**2. Let m(b) = 0. Calculate b.
-2, -1, 1
Let j(m) be the first derivative of -1/28*m**4 - 15/14*m**2 + 1/3*m**3 + 20 + 9/7*m. Let j(d) = 0. What is d?
1, 3
Let h = 9243/1316 + -1213/188. Factor 8/7*l - 8/7*l**3 - h*l**4 + 0 + 4/7*l**2.
-4*l*(l - 1)*(l + 1)*(l + 2)/7
Let p(o) be the first derivative of -o**4/12 + 148*o**3/9 + 149*o**2/6 + 928. What is g in p(g) = 0?
-1, 0, 149
Let q(c) be the first derivative of -27*c**4/4 - 5*c**3 + 87*c**2 - 72*c + 122. Factor q(j).
-3*(j - 2)*(j + 3)*(9*j - 4)
Let i(t) be the first derivative of 0*t**2 - 17/12*t**4 + 11*t - 47 + 1/3*t**3. Let w(l) be the first derivative of i(l). Solve w(g) = 0.
0, 2/17
Let p(w) be the third derivative of -w**4/24 + 4*w**3/3 + w**2. Let x be p(6). Determine d so that 8 + 0*d**2 + 9*d**2 - 18*d - x*d**3 + 3*d**2 = 0.
1, 4
Suppose 2*w = w - k - 15, 1