c**7/126 - 37*c**6/90 - 47*c**5/30 - 23*c**4/9 - 4*c**3/3 + 34*c. Determine u, given that z(u) = 0.
-3, -2, -2/5, 0
Let t(v) be the first derivative of v**3/27 - 5*v**2/18 + 4*v/9 + 59. Suppose t(l) = 0. What is l?
1, 4
Let v(o) be the second derivative of o**7/84 - o**6/20 - o**5/4 + 13*o**4/6 - 6*o**3 + 8*o**2 + 2*o - 101. Determine j, given that v(j) = 0.
-4, 1, 2
Let 141*l**3 - 63*l**4 + 144*l**2 - 192*l - 147/4*l**5 + 0 = 0. What is l?
-2, 0, 8/7
Let h(j) = -20*j**2 - 12*j. Let l = 20 + -14. Let u(v) = -7*v**2 - 4*v. Let q(d) = l*h(d) - 17*u(d). Factor q(i).
-i*(i + 4)
Let i(b) be the first derivative of 5/16*b**4 + 28 + 0*b - 15/8*b**2 + 5/6*b**3. Find y such that i(y) = 0.
-3, 0, 1
Let v(x) be the second derivative of -x**6/900 + x**4/60 + 2*x**3 + 7*x. Let h(q) be the second derivative of v(q). Find u, given that h(u) = 0.
-1, 1
Let q(a) be the first derivative of a**6/6 + 2*a**5 + 15*a**4/2 + 40*a**3/3 + 25*a**2/2 + 6*a + 274. Factor q(l).
(l + 1)**4*(l + 6)
Let s = 59 - 56. Factor 0*o + 6/5*o**4 + 0 + 2/5*o**5 + 0*o**2 + 4/5*o**s.
2*o**3*(o + 1)*(o + 2)/5
Let p(d) be the third derivative of 0*d - 1/20*d**4 + d**2 + 0*d**3 + 1/100*d**5 + 0. Factor p(s).
3*s*(s - 2)/5
Let j(h) be the first derivative of -h**5/150 - h**4/60 + 4*h**2 + 4. Let c(l) be the second derivative of j(l). Let c(s) = 0. What is s?
-1, 0
Let g(p) be the second derivative of 1/120*p**6 + 1/4*p**2 - 7/24*p**3 + 3/16*p**4 - 1/16*p**5 - 11*p + 0. Solve g(o) = 0.
1, 2
Let d(o) be the third derivative of 5*o**8/84 + 2*o**7/15 - o**6 - 2*o**5/15 + 41*o**4/6 - 14*o**3 + 209*o**2. Factor d(p).
4*(p - 1)**3*(p + 3)*(5*p + 7)
Let s = 1737 - 1737. What is i in 0 + 2/11*i**4 - 2/11*i**2 + 0*i + s*i**3 = 0?
-1, 0, 1
Factor -31/8 + 1/8*g**2 + 15/4*g.
(g - 1)*(g + 31)/8
Let m be (-3)/8*(-32)/4. Suppose -6*z**m + 16*z**3 - 16*z - 2*z - z**2 + 13*z**2 - 4 = 0. What is z?
-2, -1/5, 1
Let p be 144/(-270)*(-2)/16. Let y(j) be the second derivative of 0*j**2 + 3*j + 1/60*j**4 + p*j**3 + 0. Factor y(a).
a*(a + 2)/5
Let t(v) be the first derivative of 0*v**5 + 0*v**2 - 2*v**3 + 0*v - 9/4*v**4 + 1/2*v**6 - 3. Factor t(h).
3*h**2*(h - 2)*(h + 1)**2
Factor -100/3 - 35/3*x - 5/6*x**2.
-5*(x + 4)*(x + 10)/6
Let u(n) be the second derivative of 0*n**6 - 14*n + 0*n**2 + 0 + 0*n**4 - 1/98*n**7 + 0*n**3 + 3/140*n**5. Factor u(l).
-3*l**3*(l - 1)*(l + 1)/7
Let w be 10/35 - 132/(-126). Let h = w + -17/15. Determine b, given that h*b**3 + 3/5 - 1/5*b - 3/5*b**2 = 0.
-1, 1, 3
Solve -117/5*z**2 + 1521/5*z - 6591/5 + 3/5*z**3 = 0 for z.
13
Let b(i) be the second derivative of -i**5/16 - 17*i**4/24 - 23*i**3/8 - 9*i**2/2 + 6*i + 2. Factor b(j).
-(j + 3)**2*(5*j + 4)/4
Let k(y) be the second derivative of 7*y + 1/3*y**4 + 0*y**2 + 1/20*y**5 + 0 - 5/6*y**3. Solve k(i) = 0.
-5, 0, 1
Let z(u) be the first derivative of 5*u**3/3 - 235*u**2 + 11045*u + 146. Let z(s) = 0. What is s?
47
Let r(z) be the third derivative of -z**5/80 + 29*z**4/4 - 1682*z**3 - 17*z**2 + 3*z. Determine l, given that r(l) = 0.
116
Let r(o) be the second derivative of -o**6/480 - o**5/120 + o**4/32 + 3*o**2/2 - 2*o. Let i(g) be the first derivative of r(g). Let i(j) = 0. Calculate j.
-3, 0, 1
Suppose -2664*x - 20 = -2674*x. Let m(w) be the second derivative of -2*w + 3/100*w**5 + 0 + 11/60*w**4 + 2/5*w**3 + 2/5*w**x. What is k in m(k) = 0?
-2, -1, -2/3
Let i(a) = -4*a - 42. Let y be i(-9). Let q be 8/y*((-18)/(-7) - 3). Find z such that -4/7 + 12/7*z**4 + 8/7*z**3 - 12/7*z + q*z**5 - 8/7*z**2 = 0.
-1, 1
Factor -2/3*d**2 + 0 - 2*d.
-2*d*(d + 3)/3
Let y = 87 + -61. Determine d so that -3*d**2 - y + 0*d**2 + 30*d - 49 = 0.
5
Let k(t) be the third derivative of -121*t**7/1260 + 11*t**6/18 - 13*t**5/15 - 10*t**4/9 - 4*t**3/9 - 66*t**2. Find o such that k(o) = 0.
-2/11, 2
Let h(b) be the first derivative of 7 + 5/3*b**3 + 0*b**2 - 5*b. Factor h(z).
5*(z - 1)*(z + 1)
Let r(u) be the third derivative of -u**5/160 + 5*u**4/8 - 25*u**3 - 194*u**2. Factor r(x).
-3*(x - 20)**2/8
Suppose -3*y - 4*x = -14, -7*y = -3*y - 2*x + 18. Let v(z) = -6*z**2 - 53*z - 91. Let q(s) = -3*s**2 - 26*s - 46. Let n(w) = y*v(w) + 5*q(w). Factor n(g).
-3*(g + 4)**2
Factor -6*r**4 + r**4 - 56*r**3 + 39*r**3 + 44*r**3 - 45*r**2 - 75*r + 2*r**4.
-3*r*(r - 5)**2*(r + 1)
Let t(b) be the second derivative of -3*b**5/20 + 3*b**4 - 21*b**3/2 + 15*b**2 + 97*b. Factor t(q).
-3*(q - 10)*(q - 1)**2
Let d be (-10*(-11)/825)/(8/10). Let y be 1*0/4*1. Let -5/6*o**2 - 1/3*o - d*o**4 + y - 2/3*o**3 = 0. Calculate o.
-2, -1, 0
Let o(p) = -2*p**3 + 4*p**2 + 6*p. Let x(s) = 4*s**2 - 4*s**3 + 5*s**2 + 161 - 161 + 13*s. Let v(b) = -5*o(b) + 2*x(b). Factor v(r).
2*r*(r - 2)*(r + 1)
Let x be (-225)/(-81) - 4/(-18). Suppose -5*n + 4 = -p - 4, 2*p + 2 = x*n. Factor 2/5*s**p - 2/5*s + 0.
2*s*(s - 1)/5
Let w(t) be the third derivative of -t**5/270 + t**4/6 - 17*t**3/27 - 2*t**2 - 41*t. Factor w(o).
-2*(o - 17)*(o - 1)/9
Suppose 5*p - 4 = 4*p. Determine t, given that -12*t**2 - 40*t**3 + 4*t**4 + 8*t + 32*t**3 + 8*t**p = 0.
-1, 0, 2/3, 1
Let t(l) be the second derivative of -l**7/14 - 3*l**6/10 + l**4 + 6*l + 1. Factor t(c).
-3*c**2*(c - 1)*(c + 2)**2
Suppose -12*v = -14*v + 4. Suppose -18*g + 34 = -v. Determine p, given that -1/2*p**g + 0 + 0*p - 7/4*p**3 = 0.
-2/7, 0
Let n(g) = 5*g + 58. Let j be n(-11). Determine v so that 1/2*v**j + 6*v + 4 + 3*v**2 = 0.
-2
Suppose 5*p = 11 + 164. Find v, given that p*v - 25*v**2 - 15 - 5*v**2 + 5*v + 5*v**4 = 0.
-3, 1
Let j(b) be the third derivative of b**5/180 + 7*b**4/18 - 10*b**3/3 + 68*b**2 + 2. Factor j(u).
(u - 2)*(u + 30)/3
Let r(k) be the second derivative of 0*k**2 - 3/7*k**3 + 14*k - 1/10*k**5 + 0 - 1/105*k**6 - 5/14*k**4. Factor r(u).
-2*u*(u + 1)*(u + 3)**2/7
Determine x, given that -164/7*x + 48/7 + 106/7*x**2 + 10/7*x**3 = 0.
-12, 2/5, 1
Let o = 72 - 67. Suppose -7 = -o*m - 7. Factor 1/4*q + 3/2*q**3 - q**2 - q**4 + m + 1/4*q**5.
q*(q - 1)**4/4
Let h(p) = p**2. Let x be h(0). Suppose 2*m - 3 = m. Suppose -2*v**3 + 2*v + 0*v + x*v**3 + 3*v**m - 3*v**2 = 0. Calculate v.
0, 1, 2
Let n = 10 + -2. Factor k**4 - 2*k**3 - 4 + n - 4 - 1 + 2*k.
(k - 1)**3*(k + 1)
Suppose 6*x - 2*r = 16, -2*r = 828*x - 829*x - 9. Factor -33/8*f**2 - 2 + 5/4*f**3 + x*f - 1/8*f**4.
-(f - 4)**2*(f - 1)**2/8
Suppose 0 = 7*k - 13*k - 1386. Let l = k + 231. Let -7/3*w**4 + l*w + 2/3*w**3 + 0 + 0*w**2 + 5/3*w**5 = 0. Calculate w.
0, 2/5, 1
Suppose 4*q = -4*z + 244, 3*q - z - 269 = -q. Find t, given that q*t - 12 - 12 + 4*t**2 + 67*t - 113*t = 0.
-6, 1
Factor 0 + 7/3*q**2 - 2/3*q - 3*q**3 + 5/3*q**4 - 1/3*q**5.
-q*(q - 2)*(q - 1)**3/3
Let b(u) be the third derivative of u**8/840 + 22*u**7/525 + 2*u**6/15 - 424*u**5/75 + 532*u**4/15 - 1568*u**3/15 + 264*u**2. Determine j so that b(j) = 0.
-14, 2
Let p(i) be the second derivative of -i**4/12 - i**3/2 - i**2 + 70*i. Factor p(y).
-(y + 1)*(y + 2)
Let f(v) be the first derivative of 6/7*v**2 - 1/21*v**4 + 1 + 14*v - 4/21*v**3. Let d(b) be the first derivative of f(b). Factor d(u).
-4*(u - 1)*(u + 3)/7
Let w be (-2 - 2/(-1))/((37 + -79)/21). What is q in -1/7*q**4 + 0*q + w + 1/7*q**2 + 0*q**3 = 0?
-1, 0, 1
Suppose -2*x**3 - 6*x**2 - 1 - 7*x - 2*x**4 + 5 + 20*x + 4*x**4 - 11*x = 0. Calculate x.
-1, 1, 2
Let w(h) = 2*h**5 + 22*h**4 + 26*h**3 + 18*h**2 + 8. Let i(b) = b**4 - b**3 + b**2 + 2. Let d(c) = -4*i(c) + w(c). Suppose d(f) = 0. Calculate f.
-7, -1, 0
Let f(r) = 3*r + 27. Let v be f(-7). Factor -2*g**4 + 2*g + 12*g**3 + v*g**3 + g**2 - 7*g**2 - 12*g**3.
-2*g*(g - 1)**3
Suppose 101*o - 34 = 50*o + 68. Factor -9*l**o - 1/2*l**3 + 0 - 81/2*l.
-l*(l + 9)**2/2
Suppose 0 = 5*z, a - 5*a - 20 = -3*z. Let s(k) = -13*k**3 + 13*k**2 - 7*k + 7. Let l(w) = -9*w**3 + 9*w**2 - 5*w + 5. Let u(d) = a*s(d) + 7*l(d). Factor u(h).
2*h**2*(h - 1)
Let p(u) be the third derivative of -u**5/540 - 17*u**4/108 - 289*u**3/54 - 710*u**2. Suppose p(w) = 0. What is w?
-17
Suppose 0 = 12*x + 17*x + 29. Let y be (-144)/96*(2/(-2) + x). Factor -6 - 14/3*i**2 - 2/3*i**y - 10*i.
-2*(i + 1)*(i + 3)**2/3
Let g(d) be the second derivative of d**7/42 - 2*d**6/15 - d**5/20 + d**4/3 - 39*d + 2. Factor g(f).
f**2*(f - 4)*(f - 1)*(f + 1)
Let y(o) be the first derivative of o**4/10 - 4*o**3/15 - o**2/5 + 4*o/5 - 179. Let y(n) = 0. Calculate n.
-1, 1, 2
Let a(y) = -y