674/7*y - 338/7 + 2/7*y**3 - 334/7*y**2.
2*(y - 169)*(y + 1)**2/7
Let b be -10 + 18 + -4 + 26/(-7). Factor 722/7 + b*s**2 - 76/7*s.
2*(s - 19)**2/7
Suppose 5080*j + 1212*j**2 + 2000 + 3615*j**2 + 125*j**3 - 1502*j**2 = 0. What is j?
-25, -4/5
Let a(b) = 4*b**3 + b**2 - b - 5. Let r(v) = 22*v**3 + 115*v**2 + 895*v - 25. Let s(l) = 5*a(l) - r(l). Suppose s(f) = 0. What is f?
-45, -10, 0
Let 2824/7*h**2 - 512/7*h - 4140/7*h**3 - 4*h**5 + 0 + 1856/7*h**4 = 0. Calculate h.
0, 2/7, 1, 64
Let k(b) = b**3 - 4*b**2 - 7*b + 3. Let x be k(6). Suppose r + x = 4*r. Solve -3 - 4*q - q**2 + r*q - 4*q + 1 = 0.
1, 2
Let u = -4187147/206 + 20326. Let m = u + 3663/1030. Determine j, given that 57/5*j**2 - m*j - 24/5*j**3 + 0 - 3*j**4 = 0.
-3, 0, 2/5, 1
Let m be 3 - 3/(18/(-30)). Determine h so that -16*h + m + 4*h**3 + 3*h**3 + h**3 + 10*h**2 - 10*h**3 = 0.
1, 2
Let c(b) be the third derivative of 9*b**2 + 0*b**6 + 0*b - 1 + 1/6*b**4 + 0*b**3 + 1/315*b**7 - 7/90*b**5. Factor c(w).
2*w*(w - 2)*(w - 1)*(w + 3)/3
Let u(s) be the first derivative of s**9/18144 + s**8/560 + 2*s**7/105 + 8*s**6/135 - 28*s**3/3 - 46. Let z(b) be the third derivative of u(b). Factor z(c).
c**2*(c + 2)*(c + 8)**2/6
Let y(c) = 45*c - 2. Let n be y(0). Let f(x) = -3 + 3*x + 3 - 2*x + x**2. Let m(p) = 13*p**2 + 11*p - 2. Let v(i) = n*f(i) - m(i). Factor v(w).
-(w + 1)*(15*w - 2)
Let -330/7 + 501/7*r - 9/7*r**2 = 0. What is r?
2/3, 55
Let c(f) be the third derivative of 0 + f - 28*f**2 - 1/450*f**5 - 1/9*f**3 - 1/30*f**4. Let c(o) = 0. What is o?
-5, -1
Let f(w) = w**3 - 5*w**2 - 24*w + 2. Let z be f(8). Let a be (-104)/39 - (-240)/63. What is k in -a + 32/21*k - 2/3*k**z + 2/21*k**3 = 0?
2, 3
Factor -300 + 104*w - 4/3*w**2.
-4*(w - 75)*(w - 3)/3
Let d(f) be the second derivative of -f**6/105 + 24*f**5/35 - 15*f**4/14 - 94*f**3/21 + 7*f - 374. Determine a, given that d(a) = 0.
-1, 0, 2, 47
Let z(p) = p**3 - 9*p**2 + 9*p - 5. Let x be z(8). Suppose 0 = -c + 2*s + 7, -3*c - 3*s + x = -54. Factor 5*h**5 - 12*h**4 - c + 4*h**3 + 15.
h**3*(h - 2)*(5*h - 2)
Let p be -8 + 342/(14/7). Let a = 163 - p. What is t in 2/7*t + 2/7*t**2 + a = 0?
-1, 0
Factor -81/2*k - 1/4*k**2 - 80.
-(k + 2)*(k + 160)/4
Let h(l) be the first derivative of -9*l - 3/4*l**4 - 21/2*l**2 - 5*l**3 - 78. Let h(w) = 0. What is w?
-3, -1
Let r be (224/28*(-2)/(-20))/(122/305). Factor 8/5 - 2/5*s**4 + 18/5*s**r + 2/5*s**3 + 22/5*s.
-2*(s - 4)*(s + 1)**3/5
Let i(o) = 22*o + 30 - 3*o - 7*o + o**2. Let v be i(-9). Factor 3/5 + 6/5*w**2 + 9/5*w - 3/5*w**5 - 6/5*w**v - 9/5*w**4.
-3*(w - 1)*(w + 1)**4/5
Let a(v) be the first derivative of v**4/6 + 746*v**3/9 + 124*v**2 + 4931. Factor a(b).
2*b*(b + 1)*(b + 372)/3
Let y(l) = -4*l**2 + 5*l - 4. Suppose m - 6 = -2*m. Let d(i) = -i**2 + 3*i**m + 2*i**2 - 6*i + i**2 + 5. Let p(t) = 3*d(t) + 4*y(t). Factor p(f).
-(f - 1)**2
Let i(g) = -4*g**4 + 123*g**3 - 906*g**2 + 6*g + 3. Let o(k) = 4*k**4 - 124*k**3 + 908*k**2 - 8*k - 4. Let w(y) = -4*i(y) - 3*o(y). Factor w(l).
4*l**2*(l - 15)**2
Let k(s) be the first derivative of -8/9*s**5 - 12 - 1280/27*s**3 - 1/27*s**6 - 80/9*s**4 - 1280/9*s**2 - 2048/9*s. Factor k(x).
-2*(x + 4)**5/9
Let s(i) be the first derivative of 5*i**4/4 + 260*i**3/3 - 1145*i**2/2 - 1400*i + 5610. Factor s(h).
5*(h - 5)*(h + 1)*(h + 56)
Solve 8/3*h**3 - 1/3*h**4 + 115*h**2 - 3724/3 - 3388/3*h = 0.
-19, -1, 14
Let c be (490/42)/(14/(-12) + 1). Let j be (72/(-63))/(12/c). Factor -10/3*y - 1/3 - 64/3*y**5 - 25/3*y**2 + 80/3*y**4 + j*y**3.
-(y - 1)**2*(4*y + 1)**3/3
Factor -1/2*f**2 - 1905/2 + 953*f.
-(f - 1905)*(f - 1)/2
Let q(c) = 53*c**2 + 202*c - 411. Let x(r) = 21*r**2 + 101*r - 204. Let p(u) = -6*q(u) + 15*x(u). Let p(z) = 0. What is z?
2, 99
Let o = 8263/13 - 57802/91. Determine x so that -18/7*x**3 - 12/7*x**2 - 3/7*x + 0 - o*x**5 - 12/7*x**4 = 0.
-1, 0
Let g(k) = 10*k**3 - 274*k**2 - 138*k + 186. Let p(y) = -70*y**3 + 1926*y**2 + 964*y - 1302. Let f(a) = 27*g(a) + 4*p(a). Factor f(i).
-2*(i - 31)*(i + 1)*(5*i - 3)
Factor -5*g**2 - 200 + 35*g - 39 - 29*g + 6*g**2 - 113.
(g - 16)*(g + 22)
Let d(o) be the third derivative of o**6/24 - 13*o**5/12 + 25*o**4/12 + 20*o**3 - 14*o**2 - 31*o. Let d(z) = 0. What is z?
-1, 2, 12
Let a(d) be the first derivative of -d**6/240 + 2*d**5/5 - 16*d**4 + 2*d**3/3 - 8*d - 4. Let p(w) be the third derivative of a(w). Factor p(b).
-3*(b - 16)**2/2
Let r(q) be the second derivative of q**7/112 + 87*q**6/80 + 6057*q**5/160 + 5545*q**4/32 + 336*q**3 + 1323*q**2/4 - q - 1466. Factor r(j).
3*(j + 1)**3*(j + 42)**2/8
Let u(l) be the second derivative of 2*l**6/105 - 64*l**5/35 - 1477*l. Solve u(y) = 0.
0, 64
Let s be (9/(-36))/(1*3/(-24)). Determine q so that -1 - 69*q**3 + 4*q**s - 12*q**2 + 70*q**3 + 1 + 15*q = 0.
0, 3, 5
Suppose -4*f + 3*k + 45 = 0, 0 = f + 5*k - 7*k - 25. Factor -3/2*q + 9/4*q**2 + 0 - 3/4*q**4 + 0*q**f.
-3*q*(q - 1)**2*(q + 2)/4
Let r = -2789 - -2791. Let u(t) be the third derivative of -5/72*t**4 - 25/36*t**3 - 12*t**r + 0*t - 1/360*t**5 + 0. Factor u(g).
-(g + 5)**2/6
Suppose 671/3*l**2 + 0 - 1/3*l**3 + 0*l = 0. Calculate l.
0, 671
Let z = -538387 + 538419. Factor 0*m + 8/3*m**4 + 0 - 4/3*m**5 + 80/3*m**3 + z*m**2.
-4*m**2*(m - 6)*(m + 2)**2/3
Let x(i) be the first derivative of -i**5/15 - i**4/12 + i**3/9 + i**2/6 - 2412. Find r such that x(r) = 0.
-1, 0, 1
Let g(x) = 5*x**4 - 11*x**3 - 9*x**2 - 14. Let u be (-37)/7 + -2 - (-26)/91. Let d(m) = -2*m**4 + 5*m**3 + 4*m**2 + 6. Let b(l) = u*d(l) - 3*g(l). Factor b(z).
-z**2*(z + 1)**2
Let a(r) be the first derivative of r**6/150 - r**5/50 - r**4/60 + r**3/15 + 86*r - 76. Let u(q) be the first derivative of a(q). Determine w so that u(w) = 0.
-1, 0, 1, 2
Let z(g) = g**2 + g. Suppose -7 = 3*r + j, 4*r - 5*j = 12 + 4. Let h(i) = 34*i + 45 + 45*i**2 + 15*i**2 - 51*i**2. Let v(c) = r*h(c) + 4*z(c). Factor v(p).
-5*(p + 3)**2
Let p(b) = 2*b**2 - 578*b + 564. Let x(l) = l**2 + l - 6. Let r(q) = -p(q) + 3*x(q). Let r(z) = 0. What is z?
-582, 1
Let u = 312057/5 + -62411. Factor -u*t**3 - 4/5*t**2 + 4/5 + 2/5*t.
-2*(t - 1)*(t + 1)*(t + 2)/5
Let k = -159 + -74. Let q = k + 467/2. Find v such that -v**4 - q*v**5 + 0*v - 1/2*v**3 + 0*v**2 + 0 = 0.
-1, 0
Factor -440/3 + 338/3*k - 61/3*k**2 + 1/3*k**3.
(k - 55)*(k - 4)*(k - 2)/3
Let q be (0 + 4)/4 + -7 + (-26432)/(-4248). Let -q*y**2 - 8/9 - 10/9*y = 0. Calculate y.
-4, -1
Suppose -4*h + 114 = -2*w, 52 = 2*h - 9*w + 13*w. Determine m, given that 305*m - 3*m**3 + 10125 + h*m**2 + 107*m**2 - 2330*m = 0.
15
Let c(z) be the first derivative of -7*z**3/3 - 4*z**2 + 8*z - 114. Let o(m) = m**2 + m - 1. Let s(b) = -3*c(b) - 24*o(b). Let s(g) = 0. What is g?
0
Let k(i) be the second derivative of 2 + 10/3*i**3 - 5*i**4 + 0*i**2 + 3*i - 7/4*i**5. Factor k(r).
-5*r*(r + 2)*(7*r - 2)
Let a(t) = 12*t**2 - 5448*t + 618246. Let x(r) = -4*r**2 + 1816*r - 206080. Let l(k) = 6*a(k) + 17*x(k). Factor l(p).
4*(p - 227)**2
Let y(j) be the third derivative of j**5/9 + 61*j**4/9 + 32*j**3/3 - 882*j**2. Factor y(w).
4*(w + 24)*(5*w + 2)/3
Let a be 248/(-186)*(53/(-20) - (-54)/135). Factor -136/3*k**a + 0 + 0*k + 2/3*k**4 + 2312/3*k**2.
2*k**2*(k - 34)**2/3
Let d(b) be the third derivative of b**6/36 - 23*b**5/90 + 5*b**4/18 + 8*b**3/9 - 3733*b**2. Let d(x) = 0. Calculate x.
-2/5, 1, 4
Factor -630*z - 11*z**2 - 19 + 58 - 24 + 649*z**2 - 23.
2*(z - 1)*(319*z + 4)
Factor -5278*g + 5165*g - 13*g**3 - 25 - 76*g**2 - 25.
-(g + 1)**2*(13*g + 50)
Let x(s) be the second derivative of s**6/75 + 13*s**5/5 + 4093*s**4/30 - 572*s**3 + 4356*s**2/5 + 5*s - 28. Factor x(r).
2*(r - 1)**2*(r + 66)**2/5
Let o(g) be the second derivative of -4/147*g**7 - 1/2*g**4 + 149*g + 3/7*g**3 + 0*g**2 + 0 - 53/70*g**5 - 9/35*g**6. Let o(v) = 0. Calculate v.
-3, -1, 0, 1/4
Factor -1/2*v**2 - 320 + 133/2*v.
-(v - 128)*(v - 5)/2
Factor -239069 + 5096*p - 225729 - 4*p**2 - 1158278.
-4*(p - 637)**2
Determine f so that 12*f**3 + 56/3*f**4 + 0 + 8/3*f - 32/3*f**5 - 44/3*f**2 = 0.
-1, 0, 1/4, 1/2, 2
Find q, given that -744/5 - 150*q - 6/5*q**2 = 0.
-124, -1
Let c(p) be the first derivative of p**5/30 - 11*p**4/18 + 13*p**3/3 - 15*p**2 - 3*p - 16. Let q(j) be the first derivative of c(j). Solve q(z) = 0 for z.
3, 5
Let c(p) = -270*p + 1892. Let n be c(7). Let r be 579/135 - (-11)/99. Find b such that -