s(b).
-2*(b + 291)**2
Suppose 272*b - 273*b = -2. Factor 4120*p**b - 4087*p**2 + p**3 + 108*p + 108 + 2*p**3.
3*(p + 2)*(p + 3)*(p + 6)
Let d be 2/27*(-90)/(-20). Let q(k) be the third derivative of -1/360*k**6 + d*k**3 + 5/72*k**4 - 40*k**2 + 0 - 1/90*k**5 + 0*k. Factor q(b).
-(b - 2)*(b + 1)*(b + 3)/3
Let -2997/2 - 1989/2*c + 1/2*c**3 - 327/2*c**2 = 0. Calculate c.
-3, 333
Let r = -9032 - -9034. Let c(i) be the second derivative of 0 + 1/6*i**3 - 1/48*i**4 + 17*i + 0*i**r. Factor c(z).
-z*(z - 4)/4
Let o(a) be the third derivative of 20/39*a**3 + 0*a + 4/13*a**4 + 7 - 12*a**2 - 1/78*a**5. Determine h, given that o(h) = 0.
-2/5, 10
Let l(m) = m**3 + 30*m**2 - 97*m + 138. Let u(p) = -30*p**2 + 106*p - 140. Let q(d) = -2*l(d) - 3*u(d). Solve q(i) = 0.
2, 4, 9
Let s be ((-24)/(-18))/((-4)/(-9)). Solve -7*r - 13/4*r**2 - s - 1/4*r**5 + 9/4*r**3 + 5/4*r**4 = 0 for r.
-1, 2, 6
Find j such that 134/17 - 266/17*j - 4/17*j**2 = 0.
-67, 1/2
Let c(b) = b**2 + b - 38. Let m(j) = 18*j**2 - 825*j + 1767. Let k(h) = 21*c(h) - m(h). Factor k(q).
3*(q - 3)*(q + 285)
Let p(o) be the first derivative of 92/3*o**3 + 4/5*o**5 + 6*o**2 + 9*o**4 - 244 - 144*o. Factor p(c).
4*(c - 1)*(c + 3)**2*(c + 4)
Let c = 1505 + -664. Factor -116*l - 17 - c*l**2 - 1 + 2 + 12.
-(29*l + 2)**2
Factor 0*l**3 + 3/5 - 1/5*l**4 + 6/5*l**2 + 8/5*l.
-(l - 3)*(l + 1)**3/5
Let l(i) = -3*i + 55. Let r be l(18). Let c(k) = 2*k + 3. Let t be c(r). Solve 3*j**2 - 8*j**2 + 22 + t*j + 8 = 0.
-2, 3
Let l(b) = 50*b**2 + 4750*b - 14490. Let n(z) = 13*z**2 + 1187*z - 3622. Let c(d) = -4*l(d) + 15*n(d). Factor c(t).
-5*(t - 3)*(t + 242)
Let s(j) be the first derivative of -3*j**2/2 + 63*j - 40. Let y be s(20). Solve 0 - 48*r**2 + 357/5*r**y + 36/5*r + 147/5*r**4 = 0 for r.
-3, 0, 2/7
Let p be (-8268)/(-26235) + 2/(-15). Determine n, given that -8/11 - p*n**4 + 24/11*n - 26/11*n**2 + 12/11*n**3 = 0.
1, 2
Suppose 0 = -2303*i + 2298*i + q - 5, 25 = 5*q. Let -4/3*s**3 + 0 + 0*s + i*s**2 - 1/3*s**5 + 4/3*s**4 = 0. Calculate s.
0, 2
Find h such that 715/2*h + 511225/4 + 1/4*h**2 = 0.
-715
Let g be (570/36 - 10)/((-185)/(-111)). Find v such that 0*v + 1/4*v**5 + g*v**4 - 7/2*v**2 - 1/4*v**3 + 0 = 0.
-14, -1, 0, 1
Let z(p) = 8*p**3 - 224*p**2 + 420*p. Let k(u) = 23*u**3 - 671*u**2 + 1261*u. Let c(r) = 4*k(r) - 11*z(r). Solve c(g) = 0 for g.
0, 2, 53
Let k = -5775 - -5778. Let q(r) be the second derivative of -3/110*r**5 + 1/165*r**6 + 1/22*r**4 + 0 - 1/33*r**k - 19*r + 0*r**2. Suppose q(a) = 0. What is a?
0, 1
Suppose 39 - 1658 + 149 = -735*d. Factor 0 - 72/5*w**3 - 27/5*w**d - 3/5*w - 48/5*w**4.
-3*w*(w + 1)*(4*w + 1)**2/5
Let o(t) = -t**4 - 5*t**3 - t - 1. Let x(s) = -2199*s**4 - 33465*s**3 - 37190*s**2 - 6174*s - 274. Let c(u) = 6*o(u) + x(u). Suppose c(i) = 0. Calculate i.
-14, -1, -2/21
Let w(k) = -k**3 - 25*k**2 - 45*k + 25. Let c be w(-23). Find a such that 50 + 11*a**c - 25*a - 6*a**2 - 10*a = 0.
2, 5
Let y(k) = k**3 + 9*k**2 - k - 41. Let w be y(-8). Suppose 52 = w*o - 18*o. Let 4/3*t**2 - 2/3*t**3 - 2/3*t**o + 0 + 0*t = 0. Calculate t.
-2, 0, 1
Let b(v) be the first derivative of -v**5/35 - 11*v**4/28 + 65*v**3/21 + 75*v**2/14 - 780. Suppose b(w) = 0. What is w?
-15, -1, 0, 5
Let p(z) be the first derivative of z**4/2 + 992*z**3/3 + 1972*z**2 + 3936*z + 14. Factor p(f).
2*(f + 2)**2*(f + 492)
Let n(i) be the first derivative of 1/15*i**3 + 0*i - 2 - 3*i**2. Let n(g) = 0. Calculate g.
0, 30
Let q(v) be the third derivative of -v**5/450 - 3*v**4/20 - 152*v**3/45 + 2*v**2 + 32*v. Factor q(g).
-2*(g + 8)*(g + 19)/15
Let v = 326 - 315. Factor 65*q**2 - 4*q**3 - 36*q - 7 - v*q**2 - 11*q**3 - 17.
-3*(q - 2)**2*(5*q + 2)
Let w(z) be the first derivative of 12 + 9*z**3 + 81*z - 81/2*z**2 - 3/4*z**4. Determine d so that w(d) = 0.
3
Let y(f) be the first derivative of -5*f**4/8 - 15*f**3 - 70*f**2 + 1080. Solve y(q) = 0 for q.
-14, -4, 0
Suppose -5*f + 195 = 5*n, -2*n - 66 = -3*f + 56. Determine o, given that -f - 35*o + 416*o**2 + 10 - 421*o**2 = 0.
-6, -1
Let p(a) = -a**3 - a**2 + a - 2. Let v(t) = -2*t**3 + 3*t**2 + 8*t - 18. Suppose 2*k - 1 = -5*j - 0, k - 6 = 3*j. Let d(x) = k*p(x) - v(x). Factor d(h).
-(h - 1)*(h + 3)*(h + 4)
Let g be 435/(-676) - (-1)/((-52)/(-39)). Let o = g + 1262/845. Determine m, given that -8/5*m**2 - 2/5 - o*m = 0.
-1/2
Solve -16900*k**5 - 383862*k**3 + 567008*k**2 + 36800*k - 105746 + 218660*k**4 - 278634*k**3 + 106322 = 0 for k.
-2/65, 2, 9
Let l(w) = -20*w**3 - 172*w**2 + 1216*w + 1380. Let a(b) = -2*b**3 + b**2 + 3*b + 1. Let q(i) = 12*a(i) - l(i). What is g in q(g) = 0?
-1, 9, 38
Let d(o) be the second derivative of -15*o - 1/30*o**4 + 0*o**2 + 2/3*o**3 - 1. Suppose d(c) = 0. Calculate c.
0, 10
Let -2/9*v**2 + 6 + 4/3*v = 0. Calculate v.
-3, 9
Factor 227 + 50475*v - 9316*v**4 - 8815*v**4 + 148 + 18533*v**4 + 6033*v**3 + 30195*v**2.
3*(v + 5)**3*(134*v + 1)
Suppose -2*b = -0 - 14. Factor b*t - 3*t**3 - 3*t + t**4 + 2*t**3 - 149*t**2 + 145*t**2.
t*(t - 2)*(t - 1)*(t + 2)
Suppose -10 = 3*x - 4*q, -5*x + 12 = -7*x + 4*q. Determine g so that -19*g**x - 20*g - 26*g**2 + 50*g**2 + 15 = 0.
1, 3
Let m(t) be the first derivative of t**4/4 + 4*t**3/3 + t**2/2 - 2*t + 50. Let n(g) = g**2 + g. Let c(k) = -m(k) + 2*n(k). Suppose c(u) = 0. Calculate u.
-2, -1, 1
Let i(m) be the third derivative of 16/7*m**3 + 65/56*m**4 + 20 + 0*m - 6*m**2 + 17/70*m**5 + 1/280*m**6. Factor i(a).
3*(a + 1)**2*(a + 32)/7
Let p = 167 + -363. Let a be 56/p + 69/21. Factor 2*b**2 + 0 - 4*b - 1/4*b**a.
-b*(b - 4)**2/4
Let j(l) be the second derivative of 1/3*l**4 + 0 + 0*l**3 - 14*l + 7/2*l**2 - 1/15*l**5. Let c(a) be the first derivative of j(a). Factor c(r).
-4*r*(r - 2)
Let y be 2 - -2 - -10 - 648/48. Let -3 - y*k**2 + 7/2*k = 0. Calculate k.
1, 6
Let m = -304 - -916/3. Let t(p) be the first derivative of -1/12*p**4 + m*p - 24 - 1/3*p**3 + 0*p**2. Find g such that t(g) = 0.
-2, 1
Determine x, given that 86/7*x**3 + 10/7*x - 4 + 10/7*x**4 + 114/7*x**2 = 0.
-7, -1, 2/5
Let x be ((-2829)/(-11316))/(3/6). Find q such that x*q**2 - 11*q + 121/2 = 0.
11
Suppose 6*j - 8*j = 3*s - 11, -13 = 3*s - 4*j. Let s + 12 + 45 + 4*a**2 + 25 + 80*a - 7 = 0. What is a?
-19, -1
Let o(m) be the third derivative of 1/112*m**8 + 0 + 1/14*m**7 + 0*m**3 + 207*m**2 - 1/4*m**5 - 1/40*m**6 + 0*m**4 + 0*m. Suppose o(n) = 0. Calculate n.
-5, -1, 0, 1
Let j(u) be the first derivative of -19 - 1/75*u**5 - 1/30*u**4 + 4/15*u**3 + 3/2*u**2 + 0*u. Let l(v) be the second derivative of j(v). Factor l(i).
-4*(i - 1)*(i + 2)/5
Let f(q) be the first derivative of 3*q**6/2 - 2274*q**5/5 + 139803*q**4/4 + 161538*q**3 + 220416*q**2 + 98304*q - 160. Find k such that f(k) = 0.
-2, -1, -1/3, 128
Let x(z) be the first derivative of z**6/900 + 7*z**5/450 + z**4/30 - 3*z**2/2 - 5*z - 12. Let s(f) be the second derivative of x(f). Let s(l) = 0. What is l?
-6, -1, 0
Let g(u) be the second derivative of -u**5/4 + 5*u**4/12 + 100*u**3 - 1080*u**2 - 7*u - 105. Find i, given that g(i) = 0.
-12, 4, 9
Let z be 168/1296*12/5397 - 0. Let s = 77098/6939 + z. Factor -26/3*y - 2 + s*y**2 + 116/3*y**3 - 66*y**4 + 242/9*y**5.
2*(y - 1)**3*(11*y + 3)**2/9
Factor -5*q**4 + 2465*q**2 - 325*q**3 - 275*q**3 - 3040427*q + 3038567*q.
-5*q*(q - 3)*(q - 1)*(q + 124)
Let m(g) be the second derivative of -g**4/3 - 110*g**3/3 + 228*g**2 - 2969*g. Factor m(j).
-4*(j - 2)*(j + 57)
Let l(a) be the third derivative of 3*a + 5/13*a**4 + 0 - 18*a**2 - 1/390*a**5 - 300/13*a**3. Factor l(j).
-2*(j - 30)**2/13
Let s(l) be the second derivative of l**7/252 - 23*l**6/45 + 179*l**5/60 - 133*l**4/18 + 353*l**3/36 - 22*l**2/3 - 2*l + 521. Factor s(f).
(f - 88)*(f - 1)**4/6
Suppose 0 = 10*n - 23 + 3. Suppose 125*d**2 - 120*d - 46 - 98 - 158*d**n - 3*d**3 = 0. What is d?
-4, -3
Let u(n) be the third derivative of 0*n + 0 + 1/150*n**6 + 120*n**2 + 4/15*n**3 + 0*n**5 - 1/10*n**4. Factor u(h).
4*(h - 1)**2*(h + 2)/5
Let y(s) be the second derivative of s**6/30 + 157*s**5/20 - 9*s + 101. Factor y(w).
w**3*(w + 157)
Let g(k) be the third derivative of -6*k + 0 - 1/42*k**7 + 0*k**3 - 4*k**2 - 1/8*k**6 + 5/2*k**4 + 1/3*k**5. Suppose g(d) = 0. Calculate d.
-3, -2, 0, 2
Factor -114*b + 222 + 3/2*b**2.
3*(b - 74)*(b - 2)/2
Let j(d) = 63*d**3 - d**2 - d + 1. Let u be j(1). Let 102*m - u*m - 67*m + 25*m**2