t(x) + 3*d(x). Factor i(a).
-3*a*(a - 1)*(a + 2)*(a + 3)
Let u(y) = -11*y**2 - 13*y + 27. Let b be u(2). Let l = -41 - b. Determine h, given that 3/7*h - 3/7*h**4 + 0 + 9/7*h**3 - 9/7*h**l = 0.
0, 1
Let h(r) = -431*r + 15949. Let p be h(37). Factor -1458/7 + 2/7*g**3 - 54/7*g**p + 486/7*g.
2*(g - 9)**3/7
Suppose 0 = -5*h + 4*z + 41, z - 31 = -3*h + 5*z. Suppose 0 = 2*o - 5*l - 14, 0 = 5*o + 2*l - h - 1. Factor 173 - 20*b**3 - 173 + 4*b**4 + 32*b**o - 16*b.
4*b*(b - 2)**2*(b - 1)
Let d(j) be the first derivative of j**7/280 + 2*j**6/45 + j**5/24 - 230*j**3/3 + 172. Let y(t) be the third derivative of d(t). Suppose y(l) = 0. Calculate l.
-5, -1/3, 0
Let p(v) be the third derivative of v**5/12 - 155*v**4/6 - 625*v**3/6 - 2*v**2 - 153. Determine b so that p(b) = 0.
-1, 125
Let v(o) be the third derivative of -o**7/70 - 1253*o**6/120 - 21979*o**5/10 - 9048*o**4 - 43264*o**3/3 + 1111*o**2. Find t such that v(t) = 0.
-208, -1, -2/3
Let b(q) be the first derivative of -q**6/60 - 3*q**5/5 - 8*q**4 - 128*q**3/3 - 5*q**2/2 - 10*q - 158. Let y(s) be the second derivative of b(s). Factor y(z).
-2*(z + 2)*(z + 8)**2
Let w(h) = -4*h**3 + 387*h**2 - 10330*h + 35269. Let v(o) = 6*o**3 - 580*o**2 + 15494*o - 52896. Let u(z) = 5*v(z) + 8*w(z). Factor u(a).
-2*(a - 47)**2*(a - 4)
Let u(w) be the third derivative of 2*w**7/105 - w**6/15 - 4*w**5/15 + w**4/3 + 2*w**3 + 691*w**2. Factor u(m).
4*(m - 3)*(m - 1)*(m + 1)**2
Let p be 6/(-4) - 20/((-640)/144). Suppose p*j - 9 = -3*t + 54, 2*j - 27 = 3*t. Factor -j*r - 40/3*r**2 - 2*r**3 - 20/3.
-2*(r + 1)*(r + 5)*(3*r + 2)/3
Let l = 309/5245 - -148/1049. Find v such that -1/5*v + 1/5*v**2 - l + 1/5*v**3 = 0.
-1, 1
Factor 6/11*q**2 - 6/11*q + 2/11 - 2/11*q**3.
-2*(q - 1)**3/11
Let p(q) be the first derivative of 3*q**5/20 - 5*q**3/4 + 3*q + 6450. Solve p(o) = 0 for o.
-2, -1, 1, 2
Let f(d) = -13*d**2 + 845*d + 798. Let b(z) = 4*z**2 - 282*z - 268. Let w(i) = 10*b(i) + 3*f(i). Factor w(m).
(m - 286)*(m + 1)
Let u(p) = 24*p**2. Let m be u(1). Let a = 32 - m. Solve -15*o - a*o - 7*o + 5*o**2 + 5*o = 0.
0, 5
Let a(c) = 8*c**4 + 694*c**3 + 15434*c**2 + 41813*c + 30251. Let m(t) = 2*t**3 - t - 1. Let o(h) = a(h) - 7*m(h). Factor o(u).
2*(u + 41)**2*(2*u + 3)**2
Let p(r) be the second derivative of r**6/60 + 17*r**5/40 - 15*r**4/4 - 37*r**3/2 - 161*r. Let w(j) be the second derivative of p(j). Let w(s) = 0. What is s?
-10, 3/2
Let s = 126 - 105. Let k be s/6 + (36/(-8))/9. Factor -2*h**4 - 3*h**2 + 7*h**k + h**5 - 8*h**4 + 5*h**4.
h**2*(h - 3)*(h - 1)**2
Suppose 0 = 147*h - 29*h + 20532. Let z = -174 - h. Solve 3/7*q**5 - 15/7*q**4 + 9/7*q**3 + 27/7*q**2 + 0*q + z = 0 for q.
-1, 0, 3
Let 1/6*g**3 + 141/2*g + 71/2*g**2 + 211/6 = 0. What is g?
-211, -1
Let x(m) be the third derivative of -m**6/24 + 5*m**5/6 + 85*m**4/24 - 55*m**3 - 1755*m**2. Factor x(o).
-5*(o - 11)*(o - 2)*(o + 3)
Suppose 3/5*v**3 - 87/5*v**2 - 96/5*v + 36 = 0. Calculate v.
-2, 1, 30
Find n such that 61*n**3 + 23*n**4 + 8*n**4 + 36310*n**5 - 7*n**2 - 24 - 36313*n**5 - 58*n = 0.
-1, -2/3, 1, 12
Let v(p) = -207*p + 96*p - 1272 + 85*p. Let l be v(-49). Factor -4/7*c + 1/7*c**l + 4/7.
(c - 2)**2/7
Suppose -7*k - 4*q - 35 = 0, 84*k - 89*k + 29 = -q. Find c such that 141/5*c**2 + 0 - 3/5*c**4 + 66/5*c**k + 72/5*c = 0.
-1, 0, 24
Let o(l) be the first derivative of -l**6/900 - l**5/100 - l**4/30 - 4*l**3/3 - 76. Let i(m) be the third derivative of o(m). Factor i(h).
-2*(h + 1)*(h + 2)/5
Suppose 0 = 11*k + 12*k - 3047362. Solve -34079 + k + 5*x**3 + 2107*x**2 + 10935*x - 1702*x**2 = 0.
-27
Let k(d) = 2*d**2 + 1. Let i be k(-1). Let -33*b**2 + 4*b + 0*b + 32*b**2 - i = 0. Calculate b.
1, 3
Let b(w) be the third derivative of 1/28*w**4 + 0 + 1/245*w**7 - 1/1176*w**8 - 1/105*w**5 + 97*w**2 + 0*w - 1/210*w**6 - 1/21*w**3. Solve b(i) = 0.
-1, 1
Determine n, given that 2/7*n**2 + 1096/7 - 1098/7*n = 0.
1, 548
Let u be (623/42 - 15)/((-7)/168 + 0). Determine v so that 4/3*v + 1/3*v**2 - u = 0.
-6, 2
Suppose -2*x = -j - 5, -3*x + 4 = 5*j + 3. Suppose x*g - 30 = -13*g. Solve 224/5*k - 56/5*k**3 + 98/5*k**4 - 384/5*k**g - 32/5 = 0.
-2, 2/7, 2
Let b be ((-6876)/45)/((-5)/((-25)/3)). Let h = 256 + b. Factor 0 - k**3 - h*k**2 - 1/3*k.
-k*(k + 1)*(3*k + 1)/3
Solve 1 + 1006/3*u**2 - 112/3*u + 760/3*u**3 - 361/3*u**4 = 0 for u.
-1, 1/19, 3
Factor -4/7*y**3 + 2536/7*y**2 - 401956/7*y + 0.
-4*y*(y - 317)**2/7
Let t(d) be the third derivative of 0*d**3 + 0*d**5 + 1/40*d**6 - 1/210*d**7 + 0 + 0*d - 15*d**2 + 0*d**4. Determine b, given that t(b) = 0.
0, 3
Suppose -9*i + r = -4*i - 20, -5*r = -5*i. Determine x, given that -73978 + i*x**2 + 73978 - 35*x**4 - 32*x**3 + 2*x = 0.
-1, -1/5, 0, 2/7
Let z(x) = 7*x**2 - 67*x + 146. Let o = 223 + -219. Let p(j) = -6*j**2 + 69*j - 144. Let m(w) = o*p(w) + 3*z(w). Factor m(c).
-3*(c - 23)*(c - 2)
Let c(b) be the first derivative of -b**4/6 + 244*b**3/9 + b**2/3 - 244*b/3 + 2420. What is n in c(n) = 0?
-1, 1, 122
Let h(b) = 2*b + 56. Let r be h(-20). Let j be ((-22)/4 + 1)/((-21)/28). Find i such that 4*i**2 - j*i + 2*i - r - 7*i - i = 0.
-1, 4
Let f = 47135139/242 - 194773. Let a = 24/121 + f. Factor a*k**2 + 1/2*k - 1.
(k - 1)*(k + 2)/2
Let v(j) be the second derivative of j**10/105840 + j**9/2940 + 59*j**4/4 - 5*j - 9. Let b(i) be the third derivative of v(i). Let b(g) = 0. What is g?
-18, 0
Let i(w) be the third derivative of w**8/2688 + 3*w**7/560 + w**6/48 - w**5/24 - w**4/2 - 4*w**3/3 + 925*w**2 - 1. Solve i(u) = 0.
-4, -2, -1, 2
Let l(u) be the first derivative of 4*u**5/5 - 9*u**4 + 80*u**3/3 - 24*u**2 + 1910. Determine d so that l(d) = 0.
0, 1, 2, 6
Let s(r) be the first derivative of -48/7*r - 146 + 1/7*r**3 - 9/7*r**2. Factor s(p).
3*(p - 8)*(p + 2)/7
Let c(m) = -23*m**2 - 19134*m - 10169714. Let j(h) = -7*h**2 - 6378*h - 3389905. Let r(w) = 2*c(w) - 7*j(w). Factor r(q).
3*(q + 1063)**2
Let u(y) be the second derivative of y**7/84 - y**6/15 - y**5/2 + 5*y**4/4 + 33*y**3/4 + 27*y**2/2 - 3600*y. Let u(a) = 0. Calculate a.
-3, -1, 3, 6
Let c = 81486 - 896344/11. Find q, given that c*q - 4/11*q**2 - 4/11*q**3 + 2/11*q**4 + 2/11*q**5 + 2/11 = 0.
-1, 1
Factor -12/5*l - 2/5*l**2 + 432/5.
-2*(l - 12)*(l + 18)/5
Let h(s) be the third derivative of -s**5/15 - 21*s**4/2 + 260*s**3/3 + 1883*s**2. What is b in h(b) = 0?
-65, 2
Let t(m) be the second derivative of m**6/15 + 58*m**5/5 + 1792*m**4/3 + 12544*m**3/3 - 135*m + 6. Factor t(i).
2*i*(i + 4)*(i + 56)**2
Suppose -22*c + 16*c + 36 = 0. Let b be (-3 + c)/(12/8)*2. Solve -2*g**2 + 10*g**2 - 14 - 6*g**b - 2*g**5 + 14 = 0.
-2, 0, 1
Determine d so that 3*d**4 - 6919*d + 48*d**3 + 6919*d - 108*d**2 = 0.
-18, 0, 2
Let -546/5*d - 86*d**2 + 2/5*d**4 - 102/5*d**3 - 44 = 0. What is d?
-2, -1, 55
Let q(m) be the first derivative of m**6/6 + m**5/2 - 5*m**4/4 - 10*m**3/3 + 10*m**2 - 187*m - 191. Let j(l) be the first derivative of q(l). Factor j(g).
5*(g - 1)**2*(g + 2)**2
Solve 1/2*k**3 + 1157625/2 + 315/2*k**2 + 33075/2*k = 0 for k.
-105
Let r = 635 + -591. Solve -r*a**4 + 77*a + 23*a**3 + 54*a + 261*a + 13*a**3 + 4*a**5 + 0*a**3 + 476*a**2 = 0 for a.
-2, -1, 0, 7
Solve -62/11*j**2 - 216/11 + 224/11*j + 2/11*j**3 = 0.
2, 27
Let o(y) be the second derivative of y**7/63 - 2*y**6/15 - y**5/10 + 26*y**4/9 - 20*y**3/3 + 476*y. Determine j so that o(j) = 0.
-3, 0, 2, 5
Let a = 75034/7427 - -194/1061. Find u such that -a*u + 12/7*u**3 + 100/7*u**2 + 0 = 0.
-9, 0, 2/3
What is b in 3*b**2 + b**2 - 153 - 178*b - 18 - 193 - 2*b**2 = 0?
-2, 91
Let b(h) be the first derivative of -1/84*h**4 - 1/420*h**5 - 1/42*h**3 + 2*h**2 + 0*h - 18. Let z(n) be the second derivative of b(n). Factor z(f).
-(f + 1)**2/7
Let w(h) = -h**3 + h**2 + h + 75. Let x be w(0). Factor -x*f**2 - 5184 + 1296*f - 74*f**2 + 41*f**2 + 3*f**3.
3*(f - 12)**3
Let h(a) be the second derivative of -79*a + 3/16*a**3 + 3/160*a**5 + 0 + 0*a**2 + 1/80*a**6 - 5/32*a**4. Suppose h(i) = 0. What is i?
-3, 0, 1
Let n(m) be the first derivative of -1/15*m**3 + 130 - 2*m**2 - 19/5*m. Factor n(j).
-(j + 1)*(j + 19)/5
Let r = 112937/3 - 37645. Factor -r - 5/3*a**2 - 19/9*a.
-(3*a + 2)*(5*a + 3)/9
Let s = 79952 - 79950. Let -1/11*o**s + 0 - 1/11*o = 0. What is o?
-1, 0
Let i = 21 - 18. Let u be (((-60)/(-16))/(-3))/(65/(-104)). Factor 12 - 20/3*b**u + 4*b + 4/3*b**i.
