pose j(h) = 0. Calculate h.
-1, 0, 1
Let i(x) = 3*x + 19. Let y be i(-5). Suppose -5*p = 2*r - 33, -y*r = 5*p - p - 60. Let -r*s**2 - s**2 + 16 - 32*s - 5*s**2 = 0. What is s?
-2, 2/5
Let q(t) = -11*t**4 + t**3 + 2*t**2 - t. Let r(g) = -141*g**4 + 7*g**3 - 190*g**2 - 13*g. Let m(u) = 26*q(u) - 2*r(u). Find b such that m(b) = 0.
-9, 0, 12
Suppose 2*h - 4*f = 4, -7 = 2*h + 4*f - 3. Suppose h = -i, -4 - 4 = -4*p - 5*i. Factor -16*g + 0*g**2 + g**p + 14*g.
g*(g - 2)
Let j(u) = u**2 + 6*u + 8. Let c be j(-5). Suppose -c*p - 5 = -4*p. Factor -p*m**3 + 2*m + 4*m**4 + 2*m**5 - 2*m**4 + 2 - 4*m**2 + m**3.
2*(m - 1)**2*(m + 1)**3
Suppose 103*b - 121*b = -54. Let l(n) be the second derivative of 2*n - 7/3*n**b + 0 - 1/10*n**5 + 3*n**2 + 5/6*n**4. Let l(t) = 0. Calculate t.
1, 3
Let m(k) be the second derivative of -1/15*k**6 - 20 + 0*k**2 + 0*k**3 + 1/21*k**4 + 1/14*k**5 + 5*k. Factor m(o).
-2*o**2*(o - 1)*(7*o + 2)/7
Let o(u) = -3*u + 17. Let l be o(5). Let z be (((-10)/l)/((-2)/2))/1. Factor 9*v**5 - 16*v**z - v**2 + 8*v**5 + v**4 - v**3.
v**2*(v - 1)*(v + 1)**2
Suppose -3*w = -4*p - 10, 5*w + p - 73 + 18 = 0. Determine i so that w*i - 14*i + 20 - 36*i + 5*i**3 + 5*i + 10*i**2 = 0.
-4, 1
Let z = -145072/7 - -20725. Let l(b) be the second derivative of 1/42*b**4 + z*b**2 + 0 - 4/21*b**3 + 7*b. Let l(q) = 0. Calculate q.
1, 3
Let s(c) = c**2 + 8*c + 15. Let a be s(-8). Determine p, given that -a*p - 26 - 20 + 26 + 5*p**2 = 0.
-1, 4
Suppose -16*l + 29*l + 6*l = -57*l + 152. Factor 2/21*p - 2/21*p**3 + 26/21 - 26/21*p**l.
-2*(p - 1)*(p + 1)*(p + 13)/21
Let g(b) be the third derivative of 2*b**7/525 + 2*b**6/15 - 9*b**5/25 - 21*b**4/5 + 4*b**2 - 21*b - 3. Factor g(s).
4*s*(s - 3)*(s + 2)*(s + 21)/5
Let p(s) be the third derivative of s**7/70 + 543*s**6/10 + 884547*s**5/10 + 160103007*s**4/2 + 86935932801*s**3/2 - 4*s**2 - 182. Factor p(b).
3*(b + 543)**4
Let d(s) be the first derivative of -1/8*s**4 - 48*s**2 + 4*s**3 - 25*s - 5. Let p(m) be the first derivative of d(m). Let p(c) = 0. What is c?
8
Suppose 174 = 60*v - 2*v. Determine b, given that 53*b**2 - 2 - 9*b - 83*b**2 - 58 + 96*b + 3*b**v = 0.
1, 4, 5
Let b(r) = 22*r**2 + 447*r + 130. Let j(l) = 25*l**2 + 445*l + 130. Let s(k) = -6*b(k) + 5*j(k). Find c, given that s(c) = 0.
-65, -2/7
Solve -f - 76*f**2 + 4*f - 350 + f + 426 - 4*f**3 = 0.
-19, -1, 1
Suppose -18 = 66*j - 348. Let b(t) be the first derivative of 7*t**4 + 6 + 0*t + 4/3*t**3 - 6*t**2 - 4*t**j. Factor b(v).
-4*v*(v - 1)**2*(5*v + 3)
Factor 265302/19 - 194672/19*w**3 + 647496/19*w**2 - 717876/19*w.
-2*(46*w - 51)**3/19
Let s = -6050 + 6050. Let d(p) be the first derivative of -1/32*p**4 + 0*p + 7 - 1/24*p**3 + s*p**2 + 1/48*p**6 + 1/40*p**5. Find o such that d(o) = 0.
-1, 0, 1
Suppose 2*t + 1 = -f, -47*f + 43*f = t + 4. Let r(v) be the second derivative of 9*v - 1/78*v**4 + 6/13*v**2 + t + 1/39*v**3. Let r(l) = 0. Calculate l.
-2, 3
Let -1/5*p**5 - 7/5*p**4 + 5*p**3 - 36 - 24/5*p + 187/5*p**2 = 0. Calculate p.
-6, -1, 1, 5
Let p(g) be the first derivative of g**8/560 - g**7/70 + g**6/40 + g**5/10 - g**4/2 + 62*g**3/3 - 49. Let h(i) be the third derivative of p(i). Factor h(y).
3*(y - 2)**2*(y - 1)*(y + 1)
Let r(w) be the third derivative of -4/3*w**4 + 0*w - 1/84*w**8 + 3/10*w**6 - 2/15*w**5 - 16*w**2 + 4/105*w**7 + 0*w**3 - 2. Find q such that r(q) = 0.
-2, -1, 0, 1, 4
Let 22*k + 0 + 2/7*k**3 - 156/7*k**2 = 0. Calculate k.
0, 1, 77
Let s(p) be the second derivative of 0 + 3/2*p**2 + 1/20*p**5 + 7/6*p**3 + 5/12*p**4 - 31*p. Factor s(y).
(y + 1)**2*(y + 3)
Let b(o) = 8*o**2 + 328*o + 350. Let k(r) = 5*r**2 + 161*r + 174. Let n(w) = 3*b(w) - 5*k(w). Factor n(m).
-(m - 180)*(m + 1)
Let t be (-7 + 22)*(20/(-100))/(8/(-36)). What is g in t*g**2 + 3 - 33/2*g = 0?
2/9, 1
Let f(m) be the first derivative of 0*m + 7/15*m**5 + 1/18*m**6 - 172 + 13/9*m**3 + 5/4*m**4 + 2/3*m**2. Factor f(p).
p*(p + 1)**3*(p + 4)/3
Let o = -26355 - -79073/3. Let c be 96/18*(-2)/(-4). Factor c*v - o - 2/3*v**2.
-2*(v - 2)**2/3
Let q(c) be the second derivative of -2*c**6/15 + 2*c**5 - 37*c**4/3 + 40*c**3 - 72*c**2 + 188*c - 2. Factor q(i).
-4*(i - 3)**2*(i - 2)**2
Let y(m) be the first derivative of m**5/150 - m**4/5 - 28*m**3/15 + 64*m**2 + 145. Let j(s) be the second derivative of y(s). Factor j(u).
2*(u - 14)*(u + 2)/5
Suppose -w - 20 = -5*z, 4*w - 9*w + 5*z - 20 = 0. Factor 162*j - j**5 + j**4 - 162*j + w*j**5.
-j**4*(j - 1)
Let o(q) = q**2 + 8*q - 72. Let k be o(6). Let -k*b**3 - 20*b**4 + 3*b**2 + 22*b**4 + 6*b - 18 + 6*b + 13*b**2 = 0. What is b?
-1, 1, 3
Determine t so that 7 - 440*t - 10 + 48 - 1924*t**3 - 25 + 5389*t**3 + 1605*t**2 = 0.
-2/3, 2/33, 1/7
Let 5/9*x**4 + 6*x**3 + 11/3 + 107/9*x - 1/9*x**5 + 122/9*x**2 = 0. Calculate x.
-3, -1, 11
Let o(m) be the first derivative of -m**5/10 - 2447*m**4/2 - 5987809*m**3 - 14652168623*m**2 - 35853856620481*m/2 - 5274. Find u, given that o(u) = 0.
-2447
Let p be (6/(-27))/1 + (-342)/(-81). Let 11*k + 6 - p*k**2 + 8*k - 3*k**2 = 0. Calculate k.
-2/7, 3
Let q = 701 + -380. Suppose 0 = 5*z - 896 + q. Factor z - 49 - 54 + 4*r**2 + 16*r.
4*(r + 1)*(r + 3)
Let o(m) be the second derivative of m**4/6 - 352*m**3/3 + 30976*m**2 - 69*m + 3. Factor o(y).
2*(y - 176)**2
Suppose -6*q + 46 = -2*n, 3*q = 738*n - 742*n + 43. Determine t so that 1/10*t**2 + 1/5*t - 1/5*t**3 - 1/10*t**n + 0 = 0.
-2, -1, 0, 1
Let a = 200 - 160. Let 24 + 141*d - 123*d**2 - 15*d**3 - 26 - a + 39*d**2 = 0. What is d?
-7, 2/5, 1
Let x(s) be the first derivative of -108*s + 9*s**2 - 13 - 1/4*s**3. Suppose x(c) = 0. What is c?
12
Let b be 19/(950/12520)*(-55)/(-132) - -5. Solve -4/3*w**2 - b*w - 6724/3 = 0.
-41
Factor -524/7 - 2/7*k**2 + 38*k.
-2*(k - 131)*(k - 2)/7
Let z(f) be the third derivative of f**8/8960 + f**7/1680 + f**6/960 - 7*f**4/12 + f**3/2 + 5*f**2 + 6. Let w(o) be the second derivative of z(o). Factor w(r).
3*r*(r + 1)**2/4
Let f(r) be the second derivative of r**6/105 + 4*r**5/35 - 9*r**4/14 - 26*r**3/3 + 56*r**2 + 7900*r. Determine y, given that f(y) = 0.
-7, 2, 4
Let x(c) be the third derivative of c**2 - 74*c - 1/50*c**5 + 1/900*c**6 + 0*c**3 + 0 - 1/18*c**4. Determine n, given that x(n) = 0.
-1, 0, 10
Let c(s) = 34*s**3 + 355*s**2 + 571*s - 159. Let u(g) = 8*g**3 + 89*g**2 + 143*g - 40. Let k(p) = -2*c(p) + 9*u(p). Factor k(i).
(i + 2)*(i + 21)*(4*i - 1)
Factor 7/3*o**2 + 17/3*o - 4.
(o + 3)*(7*o - 4)/3
Let a be -5 + (2 - 3) + 0. Let j be (-2 - -1 - a) + -1. Factor -20*c**3 - c**4 + 5*c**5 - 5*c**3 - j*c**4 - 15*c**2.
5*c**2*(c - 3)*(c + 1)**2
Let p(i) be the second derivative of -1/60*i**5 + 0*i**2 + 0*i**4 + 0*i**3 + 132 - 2*i - 1/180*i**6. Suppose p(h) = 0. What is h?
-2, 0
Let r(b) = b**3 + 5*b**2 - 6*b + 5. Let z be r(-6). Let d be 1 + (15 + 0)/z. Factor -2*i**d + 2*i**2 - 12*i + 4*i**3 + 5*i + 4*i - i.
-2*i*(i - 2)*(i - 1)*(i + 1)
Let y(w) be the second derivative of -1/28*w**5 + 61*w + 0 + 0*w**3 + 5/294*w**7 + 0*w**2 - 2/105*w**6 + 1/21*w**4. Suppose y(r) = 0. What is r?
-1, 0, 4/5, 1
Let q be (-5 - -7)/(3/84). Suppose -q = -2*y - n, 2*y - 5*n + 2*n = 48. Factor 7 - y*a + 1 - 4*a**2 + 15*a + 16*a.
-4*(a - 2)*(a + 1)
Let d(w) be the third derivative of w**7/560 - 39*w**6/160 + 15*w**5/8 - 37*w**4/8 - 44*w**2 - 3. Find u, given that d(u) = 0.
0, 2, 74
Let u(v) = v + v**3 + 23*v**2 - 36*v**2 - 1 + 13*v**2. Let f(g) = 13 + 2 - 18*g**3 - 10*g - 5*g. Let z(y) = -f(y) - 15*u(y). Find a such that z(a) = 0.
0
Let v = 27 + -28. Let z be 1/v*-8 + -4. Solve 4*o + 20*o**z + 23*o**3 - 8*o**2 - 8 + 8*o**4 + 68*o**2 + 53*o**3 = 0.
-1, 2/7
Let p(h) be the first derivative of 25/4*h**4 + 5/3*h**3 - 179 - h**5 - 25/2*h**2 + 0*h. Determine w, given that p(w) = 0.
-1, 0, 1, 5
Let t(d) be the second derivative of -d**4/42 - 199*d**3/21 + 200*d**2/7 + 11792*d. Let t(f) = 0. Calculate f.
-200, 1
Let u(d) be the first derivative of -3*d**5/5 - 9*d**4/4 + 264. Suppose u(g) = 0. What is g?
-3, 0
Suppose -1/2*x**2 + 16/3*x + 14/3 - 4/3*x**3 - 1/6*x**4 = 0. What is x?
-7, -2, -1, 2
Let z(r) = -r**2 - 3*r - 9. Let j be z(-13). Let k = -1805/13 - j. Find p such that -2/13*p**3 + 0*p**2 + k*p + 0 = 0.
-1, 0, 1
Let z(i) be the first derivative of 15*i**4/32 - 83*i**3/2 + 1347*i**2/16 + 585*i/4 + 7375. Factor z(s).
3*(s - 65)*(s - 2)*(5*s + 3)/8
Let q(t) = t*