. Let o be k(1). Suppose o - 355 + 0*h**2 + 20*h - 5*h**2 = 0. Calculate h.
-1, 5
Let d(w) = 2*w**3 - 39*w**2 - 4*w - 320. Let a be d(20). Factor -12/5*x**4 - 12/5*x**3 + a*x + 0*x**2 - 3/5*x**5 + 0.
-3*x**3*(x + 2)**2/5
Suppose 11 = -i + 5*n, 0 = 8*n - 5*n - 3. Let v be (i*(-5)/30*-3)/(-1). Factor 4/11*d**2 - 2/11*d**v + 0*d + 0.
-2*d**2*(d - 2)/11
Let n(q) be the third derivative of -q**5/100 - 75*q**4/8 + 188*q**3/5 + 2*q**2 + 18. Factor n(h).
-3*(h - 1)*(h + 376)/5
Let g(f) = -4061*f**2 - 1201*f - 48. Let w(v) = 4066*v**2 + 1202*v + 60. Let n(m) = -4*g(m) - 3*w(m). Find h, given that n(h) = 0.
-2/7, -3/289
Let w(a) = 74*a**2 - 881*a - 81. Let t be w(12). Let j(b) be the first derivative of -9 + 1/2*b**2 + 0*b - 1/6*b**t - 1/4*b**4 + 1/10*b**5. Factor j(u).
u*(u - 2)*(u - 1)*(u + 1)/2
Let o = -235689 - -235689. Let o - 9/4*p + 1/4*p**2 = 0. Calculate p.
0, 9
Let p be (-8)/(15 - -1)*-10. Find t, given that -8*t**3 + 14*t**3 + 18*t**2 - p - 2 - 2 - 3*t**5 - 3*t - 9*t**4 = 0.
-3, -1, 1
Let d(a) be the third derivative of a**8/2184 + 2*a**7/455 - a**6/52 + 4*a**5/195 + 1740*a**2. Determine q, given that d(q) = 0.
-8, 0, 1
Factor 249 + 8*p**2 - 49 + 9*p**2 + 5*p - 19*p**2 + 91*p.
-2*(p - 50)*(p + 2)
Let r(d) be the third derivative of d**6/24 + 5*d**3/6 - 2*d**2. Let f(y) = 1. Let l be (4/(-6))/((-2)/3). Let v(t) = l*r(t) - 5*f(t). Factor v(j).
5*j**3
Let v = 128 + -125. Let o be v/5*(-40)/(-72). Suppose 0*t + o*t**2 + 0 = 0. What is t?
0
Let a(m) = m**3 - m. Let r(u) = 2*u**3 + 3*u**2 + u. Let x = -64 - -57. Let o be (x - -9)/(-3 - -1*1). Let w(n) = o*r(n) - a(n). Factor w(z).
-3*z**2*(z + 1)
Factor 12943/5*q + 93/5*q**3 - 2451/5*q**2 + 0 - 1/5*q**4.
-q*(q - 43)**2*(q - 7)/5
Find f, given that 258*f**4 - 16*f**3 - 270*f**4 + 36*f + 102*f**2 - 5*f**3 + 14*f**5 + 21*f**5 - 216 - 32*f**5 = 0.
-2, 2, 3
Let g(l) = -4*l + 5*l - l**2 + 644 - 644. Suppose 2*s + 2 = s. Let k(r) = -r. Let o(x) = s*k(x) - g(x). Find w such that o(w) = 0.
-1, 0
Let n(a) be the first derivative of -a**6/9 + 14*a**5/15 + a**4/3 - 28*a**3/9 - a**2/3 + 14*a/3 + 7. Suppose n(o) = 0. What is o?
-1, 1, 7
Let w be (-18)/(-45) - (-39)/15. Suppose 12 = w*y + 3*y. Solve 4*v**y + 2*v**5 + 11*v - 6*v**3 - 7*v - 4*v = 0.
-2, 0, 1
Let i(m) be the second derivative of 1/40*m**6 - 1/16*m**4 + 1/168*m**7 + 1/80*m**5 + 0*m**2 + 0 - 4*m - 1/12*m**3. Factor i(f).
f*(f - 1)*(f + 1)**2*(f + 2)/4
Suppose 0*f - 102 = 12*f - 126. Let g(l) be the second derivative of 9/7*l**f + 0 + 5/14*l**3 - 1/28*l**4 - 30*l. Factor g(a).
-3*(a - 6)*(a + 1)/7
Let c(b) = b - 6. Let q be c(6). Suppose -9*p + 24 - 24 = q. Suppose p*i**2 + 5*i**2 + 50 + 42*i - 7*i = 0. What is i?
-5, -2
Let t(p) be the third derivative of -p**5/12 - 335*p**4/12 + 685*p**3/2 - 2044*p**2. Factor t(c).
-5*(c - 3)*(c + 137)
Let d be -4 + (13 - 4) + (-1042)/3126. Let 4/9*q**4 - 16/3 + d*q**3 - 2/9*q**5 + 44/9*q**2 - 40/9*q = 0. What is q?
-2, -1, 1, 6
Factor -575*g**2 - 688*g**2 - 1729 + 1386*g**2 + g**3 + 2355*g - 746 - 4*g**3.
-3*(g - 55)*(g - 1)*(g + 15)
Let x = -3637/428 - -936/107. Determine o so that -x*o**3 + o + 0 + 0*o**2 = 0.
-2, 0, 2
Suppose 64*p - 67*p - 19 = -5*l, 3*p + 11 = l. Let b be 0/(77/(-11))*(-4)/(-8). Factor 3/8*w**l - 3/8*w + b.
3*w*(w - 1)/8
Let k(f) be the second derivative of -f**6/1200 - 7*f**5/300 + 107*f**2/2 - 128*f. Let z(m) be the first derivative of k(m). What is p in z(p) = 0?
-14, 0
Suppose -4*l + 4*s - 188 = 0, l = -4*s - s - 65. Let y be (-290)/l + (-3)/((-15)/(-4)). Factor 104*c**3 + 3*c**5 - c**5 + 6*c**4 + 0*c**y - 100*c**3.
2*c**3*(c + 1)*(c + 2)
Factor 4671 - 305*y + y**3 - 4071 - 29*y**2 + 61*y**2.
(y - 5)*(y - 3)*(y + 40)
Let -166/7*l**2 + 30/7 - 8/7*l**4 + 74/7*l + 10*l**3 = 0. Calculate l.
-1/4, 1, 3, 5
Suppose 112 = 123*h - 134. Let t = 102/59 + -392/295. Factor t*s**h + 40 + 8*s.
2*(s + 10)**2/5
Let m(p) be the second derivative of -10/3*p**3 + 5/3*p**4 + p**5 - 12*p**2 + 2/15*p**6 + 0 + 42*p. Let m(v) = 0. Calculate v.
-3, -2, -1, 1
Factor 61*s**4 + 201*s**3 + 275*s**3 - 1104*s**2 + 79*s**4 - 22 - 42 + 496*s + 56*s**4.
4*(s - 1)*(s + 4)*(7*s - 2)**2
Suppose -5 = 13*k - 8*k. Let j(r) = -2*r**2 + r**2 - r + 0*r**2 - 1. Let s(v) = 4*v**2 + 2*v + 1. Let b(f) = k*s(f) - 3*j(f). Determine q, given that b(q) = 0.
-1, 2
Suppose 0 = -14*l + 740 + 898. Let d = 118 - l. Solve -d - 5/3*y**2 + 8/3*y = 0 for y.
3/5, 1
Let r = -7289/3 - -2431. Factor -2/3*o**2 + r + 2/3*o.
-2*(o - 2)*(o + 1)/3
Suppose 34 + 45*h**3 - 34 + 339*h**2 - 439*h**2 + 60*h - 5*h**4 = 0. What is h?
0, 1, 2, 6
Let m = 25995 - 25990. Let t(x) be the second derivative of -3/19*x**4 - 7/57*x**3 - 11/95*x**m - 13/285*x**6 + 34*x + 0 - 1/133*x**7 - 1/19*x**2. Factor t(o).
-2*(o + 1)**4*(3*o + 1)/19
Let x(h) = -23*h - 11. Let t be x(-5). Suppose -8*i - 32 + t = 0. Factor -8*u**2 - 7*u**4 + 0*u**4 - 2*u + i*u**4 + 2*u**3 + 6*u**4.
2*u*(u - 1)*(u + 1)*(4*u + 1)
Factor 7*b**2 + 19/4*b**3 + 0 + 9/4*b.
b*(b + 1)*(19*b + 9)/4
Let q be 205/2772 - (-238)/(-7854). Let w(z) be the third derivative of 1/1260*z**6 + 28*z**2 + q*z**4 - 1/90*z**5 + 0*z - 5/63*z**3 + 0. Factor w(i).
2*(i - 5)*(i - 1)**2/21
Let f be 1/(((-2)/(-8064))/(3/6)). Let d be (-960)/f*(-12)/10. Factor d + 1/7*o**2 - 3/7*o**3 + 8/7*o.
-(o - 2)*(o + 1)*(3*o + 2)/7
Determine g so that -2/7*g**2 + 0 + 48/7*g = 0.
0, 24
Let b(c) be the first derivative of -2*c**3/3 + 170*c**2 - 14450*c + 1551. Let b(j) = 0. Calculate j.
85
Let b = 46 - 44. Solve 33*u + 2 + 73*u**2 - 76*u**b - 12 + 46 = 0.
-1, 12
Let g(s) be the third derivative of s**5/60 + 7*s**4 + 1176*s**3 + 15*s**2 + 6*s. Factor g(z).
(z + 84)**2
Let t(k) be the third derivative of k**6/60 - 23*k**5/5 + 45*k**4 - 536*k**3/3 + 3025*k**2. Factor t(p).
2*(p - 134)*(p - 2)**2
Let i(z) = -z**2 + z + 1. Let m(q) = -q**2 + 22*q - 19. Let b(k) = -k**3 - k**2 + 2*k - 2. Let c be b(-2). Let t(w) = c*i(w) + m(w). Find d such that t(d) = 0.
-21, 1
Suppose z - 11 + 6 = 0. Determine n, given that -160*n - 34*n**5 + 20 + 374*n**2 + 230*n**4 - 475*n**3 - 3*n**5 + 51*n**2 - 3*n**z = 0.
1/4, 1/2, 1, 2
Let 43*u**2 + 1 - 48*u**2 + 6*u**2 - 29 + 27*u = 0. Calculate u.
-28, 1
Let r(c) be the third derivative of c**8/840 - 2*c**7/175 + 3*c**6/100 + 4*c**2 - 540*c. Factor r(w).
2*w**3*(w - 3)**2/5
Let w be (-957)/(-264) - (3/(-8) + (-1 - -1)). Let t(p) be the first derivative of 7 + 5*p**5 + 5*p**2 + 35/3*p**3 + 0*p + 45/4*p**w + 5/6*p**6. Solve t(d) = 0.
-2, -1, 0
Let u(t) = -t + 54. Let o be u(0). Suppose -14 + o = 4*n. Factor 867*x**2 - 204*x - n + 0 + 22.
3*(17*x - 2)**2
Suppose 19 = k - 4*n, -2*k + 2*n + 11 = -15. Suppose -5*b = 3*y - 6, 3*y + 3*b = -y + 19. Factor -k - 2*c + 2*c**2 + 4*c + y.
2*(c - 1)*(c + 2)
Factor 0 + 33/2*k + 3/2*k**5 + 54*k**3 - 21*k**4 - 51*k**2.
3*k*(k - 11)*(k - 1)**3/2
Find q, given that -5*q**3 + 115*q + 99 + 65*q - 42*q + 17*q + 51 = 0.
-5, -1, 6
Let c be (1 + 11/(-6))/(7441/(-14882)). Find k, given that -5/3*k**3 + 4/3 + c*k - k**2 - 1/3*k**4 = 0.
-4, -1, 1
Let j be 77/7 + (-291)/27 + (-2)/9. Let l(i) be the first derivative of j*i - i**2 + i**4 + 0*i**3 + 0*i**5 - 1/3*i**6 + 13. Solve l(s) = 0.
-1, 0, 1
Let y(w) be the first derivative of -4/21*w**3 + 140 - 20*w**2 - 700*w. Let y(s) = 0. Calculate s.
-35
Suppose -46*z + 45*z = 5*x - 48, x = 3*z. Let k(v) be the first derivative of 0*v**4 - 23 + 0*v**2 - 2/3*v**z + 2/5*v**5 + 0*v. Factor k(t).
2*t**2*(t - 1)*(t + 1)
Let i(p) = -11*p - 251. Let a be i(-23). Let -4*y - 13*y**a + 18*y**2 - 4*y**2 + 3*y = 0. What is y?
0, 1
Let i = 147 + -145. Determine l so that 6*l**3 + 9*l**2 - l**4 - 7*l**i + 0*l**4 + 5*l**2 = 0.
-1, 0, 7
Let d(q) be the first derivative of 200/9*q**3 + 0*q + 125/6*q**2 + 26 - 8/3*q**5 + 5/2*q**4 + 5/18*q**6. Suppose d(h) = 0. What is h?
-1, 0, 5
Let y(p) = -2*p**3 + 11*p**2 + 7*p - 4. Let u be y(6). Factor 9/4 - u*k - 1/4*k**2.
-(k - 1)*(k + 9)/4
Let c(a) be the second derivative of -a**7/168 - 7*a**6/120 + 17*a**5/80 - 3*a**4/16 - 713*a. What is r in c(r) = 0?
-9, 0, 1
Let p(h) = h**3 + 9*h**2 - 15*h + 30. Let f be p(-9). Let l be 33/f*(-15)/(-4). Determine w, given that 0*w**2 + l*w - 1/2 - 1/4*w**3 = 0.
-2, 1
Let j be 41/(1104/(-222) + 5). Factor 1507*u**2 + u**3 - j*u**2 + 4*u**3.
5*u**2*(u - 2)
Suppose -j + 4*y + 16 - 8 = 0, -j = -5*y - 10. Fa