6 + d**4/3 + d**2 - 50*d. Find x such that s(x) = 0.
-8, 0, 3
Let x(b) be the second derivative of -b**4/36 - 4*b**3/9 - 2*b**2 - 287*b. Factor x(m).
-(m + 2)*(m + 6)/3
Let v(s) be the third derivative of 0 - 1/90*s**6 + 0*s + 1/945*s**7 + 1/30*s**5 + 0*s**3 - 1/27*s**4 + 22*s**2. Let v(k) = 0. What is k?
0, 1, 4
What is v in 189185*v + 134815*v - 3884*v**2 - 3*v**4 + 360*v**3 - 8786*v**2 - 3530*v**2 - 2430000 = 0?
30
Let y(u) be the first derivative of 1/2*u**2 + 30 - 6*u + 1/3*u**3. Solve y(f) = 0.
-3, 2
Let a(v) be the first derivative of -v**7/84 - v**6/60 + v**5/40 + v**4/24 + 18*v + 1. Let u(f) be the first derivative of a(f). Solve u(b) = 0.
-1, 0, 1
Determine v, given that -2/5*v**3 - 198/5*v - 54 - 42/5*v**2 = 0.
-15, -3
Let f(g) = -3*g**3 + g**2 + 10*g - 4. Let d(a) = -1 + 2 - 4 - 6*a**3 - 6 + 3*a**2 + 21*a. Let b(h) = 4*d(h) - 9*f(h). Solve b(l) = 0 for l.
-2, 0, 1
Let z(g) be the second derivative of g**3/6 + 11*g**2/2 - 4*g. Let s be z(-9). Factor -3 - 3*t - 2*t**s - t**2 + t + 8*t.
-3*(t - 1)**2
Determine l, given that 0*l**2 - l + 69*l**2 + l + 25*l**4 - 529*l**2 - 1140*l**3 = 0.
-2/5, 0, 46
Let p(m) be the second derivative of m**7/112 + m**6/20 + 3*m**5/80 - m**4/8 - 3*m**3/16 - 18*m - 5. Determine v, given that p(v) = 0.
-3, -1, 0, 1
Let c(p) = 5*p**2 - 50*p + 118. Let y(u) = -5*u**2 + 50*u - 117. Let h(a) = 3*c(a) + 2*y(a). Solve h(n) = 0 for n.
4, 6
Let k = 17503 - 34965/2. Factor k*p**2 + 0 + p.
p*(41*p + 2)/2
Let -30*r**3 - r - 3*r**4 - 84*r**2 - 83*r + 12*r = 0. What is r?
-6, -2, 0
Let j(c) be the first derivative of 7*c**4/12 - 16*c**3/9 + 11*c**2/6 - 2*c/3 - 501. What is r in j(r) = 0?
2/7, 1
Let x(t) be the third derivative of -37/96*t**4 - 5/12*t**3 + 0*t + 0 - 17*t**2 - 1/96*t**6 - 2/15*t**5. Factor x(n).
-(n + 1)*(n + 5)*(5*n + 2)/4
Let 1/2*x**2 + 11/2*x - 6 = 0. What is x?
-12, 1
Let d(x) = -4*x + 13*x - 2*x**2 - 7*x**2 - 12*x**2. Let h(y) = -4*y**2 + 2*y. Let i(u) = -4*d(u) + 22*h(u). Suppose i(z) = 0. Calculate z.
0, 2
Suppose -73*q + 134*q = 72*q. Let h(i) be the first derivative of 0*i - 16*i**2 - 288/5*i**5 + 35/3*i**6 - 2 + 76*i**4 + q*i**3. Suppose h(x) = 0. Calculate x.
-2/7, 0, 2/5, 2
Let h(w) be the first derivative of 5*w**6/6 - 6*w**5 + 15*w**4/4 + 50*w**3/3 - 367. Factor h(l).
5*l**2*(l - 5)*(l - 2)*(l + 1)
Let n(w) be the third derivative of 1/36*w**4 + 0 - 4*w**2 + 0*w + 0*w**3 - 1/60*w**5 + 1/360*w**6. Factor n(i).
i*(i - 2)*(i - 1)/3
Let j = 8 + -25. Let o be (-30)/(-14)*(-3 - j/5). Factor 0*c + o*c**4 + 16/7*c**3 - 8/7*c**2 + 0 - 18/7*c**5.
-2*c**2*(c + 1)*(3*c - 2)**2/7
Suppose -2*w = -7*w + 180. Let n be 54/w*4/33. Factor 2/11 + 0*d + 0*d**3 - 4/11*d**2 + n*d**4.
2*(d - 1)**2*(d + 1)**2/11
Suppose 0 = -29*d + 33*d + 208. Let x be (d/429)/((-2)/81*3). Find w, given that 4/11*w + 2/11*w**5 + 0 + 14/11*w**2 + 10/11*w**4 + x*w**3 = 0.
-2, -1, 0
Suppose 3*l + 2*i - 5 = 0, 9*i - 6*i = 3. Let d be l + -1 + (-3)/((-120)/16). Factor -d*o**2 + 0 - 2/5*o**3 + 0*o.
-2*o**2*(o + 1)/5
Let k(o) be the second derivative of -125*o**7/42 + 30*o**6 - 489*o**5/4 + 1535*o**4/6 - 290*o**3 + 180*o**2 + 85*o. Factor k(t).
-5*(t - 2)**3*(5*t - 3)**2
Let a(v) be the third derivative of -v**5/150 - 2*v**4/15 - 4*v**3/5 - 90*v**2 - 1. Determine p, given that a(p) = 0.
-6, -2
Let v = -151 - -150. Let n be (-12*2)/(-8)*v/(-12). Factor n*i**2 + 0 - 1/2*i.
i*(i - 2)/4
Let y = 699 - 694. Determine j, given that 1/5*j**y - 2/5*j**2 + 0 - 1/5*j + 2/5*j**4 + 0*j**3 = 0.
-1, 0, 1
Let z(p) be the third derivative of -p**5/20 - 5*p**4/4 - 9*p**3/2 - 69*p**2. Suppose z(j) = 0. What is j?
-9, -1
Let o(s) = 2*s**3 + 2*s - 1. Let t be o(1). Let k(v) be the second derivative of -1/100*v**5 + 0*v**t + 0 - v + 0*v**2 - 1/30*v**4. Factor k(y).
-y**2*(y + 2)/5
Let v be (4/6)/(1/3). Suppose -x - b + 4*b + 11 = 0, 0 = -2*b - 6. Factor -45*g + 25*g**2 + x + 11 - 3 + 25*g**v - 15*g**3.
-5*(g - 2)*(g - 1)*(3*g - 1)
Let j(h) be the third derivative of h**8/6720 + h**7/1260 - 7*h**6/720 + h**5/30 - 2*h**4/3 - 23*h**2. Let p(u) be the second derivative of j(u). Factor p(z).
(z - 1)**2*(z + 4)
Let l(p) = -6*p**2 - 12*p + 12. Let r(c) be the first derivative of c**3/3 - 6. Let j(x) = l(x) + 9*r(x). Suppose j(o) = 0. What is o?
2
Let j(w) be the second derivative of 2*w**5/65 + 47*w**4/78 + 82*w**3/39 + 3*w**2 + 2*w + 402. Factor j(b).
2*(b + 1)**2*(4*b + 39)/13
Let v be (3 + -3)/((-1)/(-1)). Let d = 754 + -752. Factor 2/3*u**5 + 2/3*u**2 + 0*u + 2*u**3 + v + d*u**4.
2*u**2*(u + 1)**3/3
Find m, given that 0*m**2 + 0*m - 3/7*m**5 + 9*m**4 + 0 - 60/7*m**3 = 0.
0, 1, 20
Let j(q) = -2*q**2 + 3*q + 2. Let u = 112 - 102. Let l(b) = 4*b**2 - b**2 - 10*b - 6 + 3*b**2. Let n(y) = u*j(y) + 3*l(y). Factor n(d).
-2*(d - 1)*(d + 1)
Let c(l) = -20*l**2 + 2*l + 12. Let r(x) = -x**2. Let w(i) = -2*c(i) + 36*r(i). Factor w(t).
4*(t - 3)*(t + 2)
Factor 58/13*o**2 + 0 + 2/13*o**3 + 56/13*o.
2*o*(o + 1)*(o + 28)/13
Let -83*q + 17*q**2 + 1960 - 321*q + 79*q**2 - 4*q**3 + 37*q - 389*q = 0. What is q?
7, 10
Let y(n) be the second derivative of -n**7/840 + n**6/240 + 3*n**5/10 - 17*n**4/6 - n + 6. Let a(x) be the third derivative of y(x). Let a(p) = 0. What is p?
-3, 4
Let -17/2*b + 6 + 1/4*b**3 + 9/4*b**2 = 0. What is b?
-12, 1, 2
Suppose 5*h - 14 = -5*i + 6, 5*i + 70 = 5*h. Let 9*x**2 + 16*x**2 - x**5 - 37*x**2 + h*x + 6*x**4 - 8*x**3 + 6*x**2 = 0. What is x?
-1, 0, 1, 3
Suppose 5*l - 9 = 1, -3*j = -3*l - 12. Let y(t) = t**2 - 7*t + 26. Let r be y(j). Suppose -17/2*o - 8*o**3 + r*o**2 + 1 = 0. Calculate o.
1/4, 2
Let w(n) = 3*n**3 + 2*n**2 - 5*n + 2. Let v be w(2). Factor t**2 + 16*t - v*t + 3*t**2 + 8*t**3 - 4*t**4.
-4*t*(t - 2)*(t - 1)*(t + 1)
Let b = -165 - -169. Let n(j) be the second derivative of 0*j**5 + 0 + 0*j**b + 2*j + 0*j**2 + 0*j**3 + 0*j**6 + 1/126*j**7. Factor n(w).
w**5/3
Let y(a) be the first derivative of a**8/672 - a**6/120 + a**4/48 + 19*a**2/2 + 7. Let n(v) be the second derivative of y(v). Let n(h) = 0. Calculate h.
-1, 0, 1
Factor -12 - 10 + 26 + 27 - 21*o + 3*o**2 + 5.
3*(o - 4)*(o - 3)
Suppose 208/3 - 14/3*p**3 - 2/3*p**4 - 296/3*p + 44*p**2 = 0. Calculate p.
-13, 2
Let x(w) be the first derivative of -1/2*w**3 - 7/2*w**2 + 10 + 1/2*w**4 - 4*w + 1/10*w**5. Let x(o) = 0. What is o?
-4, -1, 2
Let q(v) be the first derivative of 2*v**3/9 - 52*v**2/3 + 257. Factor q(l).
2*l*(l - 52)/3
Let w be 3/((147/2)/7). Let d = -230 - -232. Factor 4/7 - 2/7*i - w*i**d.
-2*(i - 1)*(i + 2)/7
Let b(s) be the second derivative of -s**5/4 + 5*s**4/12 + 5*s**3/6 - 5*s**2/2 + 15*s + 9. Determine v so that b(v) = 0.
-1, 1
Let q(t) = -8*t**5 - 10*t**4 + 13*t**3 - 5*t**2 + 5. Let f(n) = 9*n**5 + 11*n**4 - 14*n**3 + 6*n**2 - 6. Let v(o) = 5*f(o) + 6*q(o). Factor v(b).
-b**3*(b - 1)*(3*b + 8)
Let g(o) be the third derivative of 7*o**8/24 + 32*o**7/15 + 361*o**6/60 + 127*o**5/15 + 19*o**4/3 + 8*o**3/3 + 72*o**2. What is h in g(h) = 0?
-2, -1, -2/7
Let y(v) = 347*v - 3466. Let u be y(10). Solve 1/8*q**5 - 1/4*q**3 - 1/8*q**u - 1/8 + 1/8*q + 1/4*q**2 = 0 for q.
-1, 1
Let j(b) be the second derivative of 7*b**6/360 - b**5/60 + 3*b**3/2 + 2*b. Let u(i) be the second derivative of j(i). Let u(c) = 0. Calculate c.
0, 2/7
Let h(g) be the second derivative of g**6/30 + g**5/4 - 25*g**4/12 - 5*g**3/6 + 12*g**2 - 23*g + 3. Solve h(w) = 0 for w.
-8, -1, 1, 3
Let p be (-16)/(-40)*-2*(-30)/40. Determine l, given that 9/5*l**4 - 6/5*l**2 - p*l**5 + 9/5*l - 3/5 - 6/5*l**3 = 0.
-1, 1
Let d(z) = -2*z**2 - 17*z - 5. Let w be d(-12). Let u = 91 + w. Find v such that 2/3*v**u + 1/6*v**3 + 5/6*v + 1/3 = 0.
-2, -1
Let w(t) be the third derivative of t**7/840 + 5*t**6/96 + 187*t**5/240 + 121*t**4/32 + 77*t**2 + 1. Factor w(b).
b*(b + 3)*(b + 11)**2/4
Let z be 3 - (5 - 4)*3. Suppose -4*j + 7 = -z*j + a, -4*a = 5*j - 6. Factor -4/11*f**4 + 0 + 0*f + 2/11*f**5 + 0*f**j + 2/11*f**3.
2*f**3*(f - 1)**2/11
Let v = -4322 - -4362. Find s such that -v*s**3 - 44*s + 12*s**4 - 4/3*s**5 + 12 + 184/3*s**2 = 0.
1, 3
Let v be -3*(-138)/(-54) - -8. Factor -1/6*o**2 - v*o + 0 + 1/6*o**3.
o*(o - 2)*(o + 1)/6
Let g be 0/(16*(28/8 - 3)). Solve 3/2*s**4 + 3*s**3 + g - 3/2*s**2 - 3*s = 0 for s.
-2, -1, 0, 1
Let k(p) = p**2 + 21*p + 81. Let f be k(-16). Let i(t) be the first derivative of -2/5*t**2 + 1/5*t**4 + f - 1/