q**5 = 0.
-1, 0, 1, 12
Let i(x) be the third derivative of x**6/60 - 17*x**5/15 - 1111*x**4/12 - 6776*x**3/3 + 8181*x**2. Determine n so that i(n) = 0.
-11, 56
Let -280*n**4 - 18114*n**5 - 18106*n**5 + 36225*n**5 - 285*n**3 = 0. Calculate n.
-1, 0, 57
Let j(l) be the third derivative of l**5/105 - 29*l**4/21 - 496*l**3/21 - 43*l**2 - 17*l. Solve j(h) = 0.
-4, 62
Let 721/4*s**2 + 36 - 273/2*s + 3/4*s**5 - 377/4*s**3 + 55/4*s**4 = 0. What is s?
-24, 2/3, 1, 3
What is s in -1052/7*s**2 + 432/7 + 20/7*s**4 + 72/7*s**3 - 96*s = 0?
-9, -1, 2/5, 6
Let t(f) be the first derivative of -f**4/20 + 967*f**3/15 - 117608*f**2/5 + 696972*f/5 + 323. Factor t(i).
-(i - 482)**2*(i - 3)/5
Let g(r) be the second derivative of -8/33*r**3 - 7/110*r**5 + 4/11*r**2 - 19/66*r**4 - 1 - 236*r. Let g(z) = 0. What is z?
-2, -1, 2/7
Let i = -1149/8 + 1437/10. Let k(a) be the second derivative of 1/2*a**3 + 6*a + 1/120*a**6 + i*a**5 + 0 + 1/2*a**2 + 13/48*a**4. Find g such that k(g) = 0.
-2, -1
Let b(x) = x**2 - 33*x - 124. Let s(p) = 3*p**2 - 132*p - 483. Let m(y) = 15*b(y) - 4*s(y). Let m(d) = 0. What is d?
-8, -3
Let m(v) = 3*v**3 + 167*v**2 - 170*v + 10. Let o(s) = 2*s**3 + 168*s**2 - 170*s + 15. Let x(h) = 3*m(h) - 2*o(h). Determine g, given that x(g) = 0.
-34, 0, 1
Let t = 176 - 167. Let h(a) = 2*a**3. Let j(r) = 21*r**3 - 48*r. Let n(q) = t*h(q) - j(q). Factor n(c).
-3*c*(c - 4)*(c + 4)
Suppose -8*q = -15*q + 3500. Factor -2484*o**3 + 222*o**2 + 640*o - 11*o**4 + q*o**2 + 2*o**5 + 57*o**4 + 2810*o**3 + 200.
2*(o + 1)**3*(o + 10)**2
Let -1/3*m**5 + 640/3*m**2 + 35/3*m**4 - 116*m**3 + 0 + 1024/3*m = 0. What is m?
-1, 0, 4, 16
Let o(w) = 95*w + 3800. Let k be o(-40). Factor 0*n + 0*n**3 - 1/3*n**5 + 1/3*n**4 + 0*n**2 + k.
-n**4*(n - 1)/3
Let p(i) be the third derivative of -i**8/1176 + 2*i**7/147 + i**6/15 - 4*i**5/21 - 8*i**4/7 - 2*i**2 - 50*i. Find w, given that p(w) = 0.
-2, 0, 2, 12
Let p be 14/(-18) + 73 + 27 + -97. Find a, given that -32/3 + 4/3*a**3 - p*a**2 - 296/9*a = 0.
-4, -1/3, 6
Suppose -65 = -0*s - 13*s. What is h in 8*h**4 - 12*h**3 + h - 1487*h**2 + 0*h**s - 2*h**5 + 1495*h**2 - 3*h = 0?
0, 1
Let o(y) be the third derivative of 2/21*y**7 + 67*y**2 - 1/3*y**5 + 0 + 0*y**4 - 1/30*y**6 + 0*y + 0*y**3 + 1/84*y**8. Factor o(h).
4*h**2*(h - 1)*(h + 1)*(h + 5)
Let h(l) = -97*l**2 - 195*l + 2. Let z be h(-2). Let r(f) be the second derivative of 7/160*f**5 + 5/96*f**4 + z*f - 1/24*f**3 + 0*f**2 + 0. Solve r(k) = 0.
-1, 0, 2/7
Let j(u) be the second derivative of -u**5/15 + 10*u**4/9 - 14*u**3/9 - 12*u**2 + 535*u. Factor j(b).
-4*(b - 9)*(b - 2)*(b + 1)/3
Let o = 100 + -97. Let 0*x**2 - x**2 - x**3 + 6*x**o + 6*x**2 = 0. What is x?
-1, 0
Suppose 0*o**2 + 0 + 1/3*o**5 + 169*o**4 + 0*o + 0*o**3 = 0. Calculate o.
-507, 0
Let w(m) be the first derivative of -2*m**5/25 - 12*m**4/5 - 24*m**3 - 80*m**2 + 1181. Factor w(v).
-2*v*(v + 4)*(v + 10)**2/5
Let g(d) be the first derivative of 2*d**3/3 + 588*d**2 + 172872*d + 417. Suppose g(c) = 0. Calculate c.
-294
Suppose 0*p = 3*i + 3*p - 48, -3*p = 2*i - 33. Let l be 30/(-12)*(-18)/i. Factor 10*n**3 + n - 4 - 18*n**2 + 10*n - l*n + 6*n - 2*n**4.
-2*(n - 2)*(n - 1)**3
Let r(a) be the second derivative of -35/16*a**4 - 18*a**2 - 2 + 11*a**3 - 5*a + 3/20*a**5. Solve r(m) = 0 for m.
3/4, 4
Let r(t) be the first derivative of t**3 - 1/15*t**5 - 9/2*t**2 + 1/4*t**4 + 0*t - 143. Factor r(f).
-f*(f - 3)**2*(f + 3)/3
Let b(t) = -2846*t + 4. Let k be b(0). Factor -1/6*a**5 + 1/3*a**2 - 1/3*a**k + 0*a**3 + 1/6*a + 0.
-a*(a - 1)*(a + 1)**3/6
Suppose 0 = -8*n + 44 - 28. Factor 2*g**4 - 14*g**2 + 3*g**4 - 107*g**2 + 60*g**3 - 19*g**n.
5*g**2*(g - 2)*(g + 14)
Suppose c + 0*c = 0. Let w be (-22400)/(-250) + (-132 - -44). Factor 0*l - 4/5*l**3 + 0*l**2 + w*l**4 + l**5 + c.
l**3*(l + 2)*(5*l - 2)/5
Let d(c) = -34*c - 202. Let o be (-2 - -4)*-2 + (-68)/34. Let i be d(o). Suppose 2/5*x**4 - 4/5*x**i - 4/5*x**5 + 8/5*x**3 - 4/5*x + 2/5 = 0. Calculate x.
-1, 1/2, 1
Let i(x) be the second derivative of 5/114*x**4 - 1/190*x**5 - 2/19*x**3 + 0*x**2 + 3 - 8*x. Solve i(g) = 0 for g.
0, 2, 3
Let q be (-30)/(-26) + -1 + (38 - (-16600)/(-585)). Suppose 20/9 - 104/9*j + 80/9*j**2 + q*j**3 + 16/9*j**5 - 100/9*j**4 = 0. What is j?
-1, 1/4, 1, 5
Let y = -268953 - -1344849/5. Determine w so that y*w + 882/5 + 2/5*w**2 = 0.
-21
Suppose -223*f = -49*f - 348. Find d, given that 18/5 + 176/5*d**3 - 132/5*d + 194/5*d**f + 32/5*d**4 = 0.
-3, 1/4
Let u be (6/(-9))/1 - 784/84. Let i be -9 + 11/(-22) - u. Factor -1/8*q**3 + i*q + 1/8*q**2 - 1/2.
-(q - 2)*(q - 1)*(q + 2)/8
Let l(d) be the second derivative of d**4/28 + 2*d**3/7 - 48*d**2/7 - 8545*d. Solve l(m) = 0.
-8, 4
Let d(g) be the first derivative of 2*g**3/27 + 122*g**2/9 + 464*g/3 - 2999. Factor d(u).
2*(u + 6)*(u + 116)/9
Let g = 1153/690 - 1/230. Let k = 106 - 105. Determine r, given that g*r**2 - 7/3*r - 1/3*r**3 + k = 0.
1, 3
Let g be (-12)/(-22)*(210/(-1260) - (-45)/6). Factor 0*s**3 + 0*s + 2/5*s**g + 0 - 2/5*s**5 + 0*s**2.
-2*s**4*(s - 1)/5
Let m = 522 + -266. Let o be 1/(-8) - (-32)/m. What is h in -1/3*h**5 - 1/3*h**3 + 0 + 2/3*h**4 + 0*h + o*h**2 = 0?
0, 1
Let s be (-1251)/278*(-32)/56. What is y in -96/7 + 80/7*y - 2/7*y**3 + s*y**2 = 0?
-4, 1, 12
Let l(x) be the first derivative of -x**4 - 4*x**3/3 + 34*x**2 - 60*x + 249. Factor l(g).
-4*(g - 3)*(g - 1)*(g + 5)
Let q(p) = p**3 - 8*p**2 - 10*p + 4. Let i be q(9). Let b be i/((-60)/(-16)) - -2. Suppose b*h - 2/3*h**3 + 0 + 0*h**2 = 0. Calculate h.
-1, 0, 1
Find w such that 71941*w**2 - w**3 - 71899*w**2 + 264 + 92*w - 397*w = 0.
1, 8, 33
Let q(p) be the second derivative of 11/10*p**5 + 135/2*p**2 + 2*p - 2 - 15/2*p**4 + 1/10*p**6 - 1/42*p**7 + 9/2*p**3. Let q(i) = 0. Calculate i.
-5, -1, 3
Factor -806*u**2 + 1526*u**3 - 670*u**2 - 5*u**4 - 106569*u**2 + 184*u**3 - 240*u**3.
-5*u**2*(u - 147)**2
Let c(p) be the first derivative of -p**4/3 + 4*p**3 + 32*p**2 - 124*p - 145. Let s(h) be the first derivative of c(h). Factor s(d).
-4*(d - 8)*(d + 2)
Let t(z) be the third derivative of 2*z**7/35 - 123*z**6/40 - 7*z**5/4 + 123*z**4/8 + 31*z**3/2 - 3*z**2 - 805*z. Suppose t(x) = 0. Calculate x.
-1, -1/4, 1, 31
Let t = 249 - 224. Suppose 2*w = -5*j - 3*w + t, -18 = -3*j - 4*w. Let 2/11*p**j - 28/11*p + 98/11 = 0. What is p?
7
Find b, given that 3762/5*b + 26136/5 + 156/5*b**2 + 2/5*b**3 = 0.
-33, -12
Let h(c) be the second derivative of -31/9*c**4 + 2*c + 3*c**2 + 5/21*c**7 - 11/45*c**6 - 18 - 41/15*c**5 + 1/3*c**3. Suppose h(w) = 0. What is w?
-1, -3/5, 1/3, 3
Suppose 31*f - 124*f = 25*f + 22*f. Let p(g) be the third derivative of 0*g - 9/20*g**5 + f + 3/4*g**4 - 1/2*g**3 + 19*g**2. Let p(q) = 0. Calculate q.
1/3
Let y(p) be the first derivative of -14/45*p**5 + 5/6*p**4 + 1/27*p**6 - 26/27*p**3 + 0*p + 4/9*p**2 - 38. Solve y(x) = 0.
0, 1, 4
Let o(c) be the third derivative of 47/120*c**6 - 282*c**2 + 0*c - 1/8*c**4 + 1/10*c**7 - 2/3*c**3 + 9/20*c**5 + 0. Suppose o(v) = 0. Calculate v.
-1, -4/7, 1/3
Let x(t) = -48*t - 48. Let f be 21/126 - (-7)/(-6). Let z be x(f). Factor 0 + z*v - 4/3*v**2 + 1/3*v**3.
v**2*(v - 4)/3
Let w(m) be the second derivative of -m**7/1680 + m**6/9 - 20*m**5/3 + 149*m**3/6 + 167*m. Let g(q) be the second derivative of w(q). Let g(j) = 0. Calculate j.
0, 40
Let b(o) = o**3 - 6*o**2 + 6*o - 2. Let y be b(5). Let f = 23690/31 - 213148/279. Factor f*s**4 - 4/9 + 2/3*s**y + 2/9*s**2 - 2/3*s.
2*(s - 1)*(s + 1)**2*(s + 2)/9
Suppose -175 + 0*b**3 - 76*b**2 - 133 - 274*b - 28 - 2*b**3 + 136*b**2 = 0. What is b?
-1, 7, 24
Factor -64*z - 11*z**2 + 226*z**2 - 486*z + 335 - 1436 - 5*z**3 - 899.
-5*(z - 40)*(z - 5)*(z + 2)
Suppose -83 - 262 = -115*y. Let k(l) be the second derivative of -1/72*l**4 - 1/3*l**y + 15*l - 3*l**2 + 0. Factor k(r).
-(r + 6)**2/6
Let w be (208 - 18)/((-27)/15). Let q = -104 - w. Find i, given that -q*i - 4/9 - 2/9*i**4 - 2*i**2 - 10/9*i**3 = 0.
-2, -1
Suppose 62/15*a - 6/5*a**3 + 4/5 + 32/15*a**2 = 0. Calculate a.
-1, -2/9, 3
Let s = -17952 + 35905/2. What is o in 1/2*o**3 - 1/2*o + s*o**2 - 1/2 = 0?
-1, 1
Let c(n) be the second derivative of 0 + 13*n + 10/3*n**4 + 5/4*n**5 + 0*n**2 - 10/3*n**3. Suppose c(s) = 0. What is s?
-2, 0, 2/5
What is v in 0 - 8/3*v**3 - 4/3*v**4 + 128/3*v + 64/3*v**2 = 0?
-4, -2, 0, 4
Let -26