e the second derivative of -j - 6*j**2 + 3/4*j**4 - 23/10*j**6 - 46*j**3 + 26 + 51/5*j**5. Find q such that t(q) = 0.
-1, -1/23, 2
Let l = 6831469/9 - 759052. Factor 0 + 25/9*y - l*y**4 - 5/3*y**2 - y**3.
-y*(y - 1)*(y + 5)**2/9
Let i(s) be the first derivative of s**5/140 - 13*s**4/84 - 29*s**3/42 - 15*s**2/14 - 135*s + 67. Let a(k) be the first derivative of i(k). Factor a(r).
(r - 15)*(r + 1)**2/7
Let k(q) be the second derivative of q**6/15 + 11*q**5/10 + 17*q**4/6 - 11*q**3/3 - 18*q**2 + 56*q - 1. What is b in k(b) = 0?
-9, -2, -1, 1
Factor -270*r**3 + 720*r + 87*r**3 + 13*r**2 + 91*r**3 + 88*r**3 - 181*r**2 - 736.
-4*(r - 2)**2*(r + 46)
Let h(x) be the first derivative of 4*x**5 - 65*x**4/4 + 40*x**3/3 + 35*x**2/2 - 30*x + 136. Solve h(w) = 0.
-3/4, 1, 2
Let b(w) be the first derivative of 63*w**5/5 - 30*w**4 + 17*w**3 + 3*w**2 + 2172. Suppose b(o) = 0. Calculate o.
-2/21, 0, 1
Let b(h) be the first derivative of -2*h**3/3 + 1126*h**2 - 633938*h + 2459. Factor b(w).
-2*(w - 563)**2
Let s(x) be the first derivative of -x**6/180 - 7*x**5/60 - x**3/3 - 50*x + 82. Let j(v) be the third derivative of s(v). Factor j(d).
-2*d*(d + 7)
Suppose 733*t + 1515*t - 430*t = 0. Factor -1/2*f**3 + f**2 + 3/2*f + t.
-f*(f - 3)*(f + 1)/2
Suppose 1341*h = 1337*h - 5*s - 75, 0 = -2*h - 3*s - 45. Suppose h + 0*m**2 + 0*m + 26/3*m**3 + 2/3*m**4 = 0. Calculate m.
-13, 0
Let g(h) be the third derivative of 0*h**3 + 0*h + 1/224*h**8 - 50*h**2 + 0 + 1/48*h**6 + 1/60*h**7 + 0*h**4 + 1/120*h**5. Factor g(s).
s**2*(s + 1)**2*(3*s + 1)/2
Suppose -x - 42*a + 39*a - 12 = 0, -4*a + 44 = -2*x. Let c be (10/14)/((-19)/399*x). Factor -c*d**2 - 245/6 + 35/3*d.
-5*(d - 7)**2/6
Let q(i) = 6*i**2 + 8279*i + 7933. Let d(j) = -5*j**2 - 6896*j - 6611. Let n(y) = -17*d(y) - 14*q(y). Factor n(c).
(c + 1)*(c + 1325)
What is y in 14 - 5/6*y + 1/6*y**3 - 4/3*y**2 = 0?
-3, 4, 7
Let x(r) be the third derivative of r**5/12 - r**4/8 + r**3/6 + 7*r**2. Let y be x(2). Factor y*j - j**4 + 6*j**2 - 11*j - j**4.
-2*j*(j - 2)*(j + 1)**2
Suppose 4*u - 4*z + 28 = 8, u + 3*z - 35 = 0. Solve 0 - g - 3/2*g**u + 5/2*g**3 + 1/2*g**4 - 1/2*g**2 = 0.
-1, -2/3, 0, 1
What is q in 54*q**2 - 72 - 17*q**3 - 1/3*q**4 - 4/3*q = 0?
-54, -1, 2
Let k = -5814/1135 - -1526/227. What is c in k - 18/5*c + 3/5*c**2 + 7/5*c**3 = 0?
-2, 4/7, 1
Let b(n) be the first derivative of -5*n**3/6 - 15*n**2/2 - 20*n - 287. Factor b(v).
-5*(v + 2)*(v + 4)/2
Let p(a) be the third derivative of a**6/30 + 11*a**5/15 - 7*a**4/3 - 16*a**3 + 368*a**2. Factor p(r).
4*(r - 2)*(r + 1)*(r + 12)
Factor -3845*p**3 - 538826 - 16204*p**2 + 3863*p**3 - 271174 + 3648600*p.
2*(p - 450)**2*(9*p - 2)
Let s = 2826 + -2826. Let h(q) be the second derivative of 0*q**3 + s*q**2 + 0 + 3/100*q**5 + 0*q**4 + 6*q - 1/50*q**6. Suppose h(p) = 0. What is p?
0, 1
Factor -61/7*h**3 + 242/7*h**2 - 25*h - 6/7.
-(h - 3)*(h - 1)*(61*h + 2)/7
Let n(c) = c**4 - 223*c**3 - 9*c**2 + 667*c + 450. Let h(z) = 222*z**3 + 9*z**2 - 666*z - 450. Let d(p) = -2*h(p) - 3*n(p). Determine l, given that d(l) = 0.
-1, 2, 75
Let j = 66392/12393 - 46/729. Let z = -669/136 + j. What is m in 3/8*m + z*m**5 + 0*m**2 + 0*m**4 + 0 - 3/4*m**3 = 0?
-1, 0, 1
Let r(w) = 63*w**3 + 691*w**2 + 1042*w - 477. Let q(o) = 42*o**3 + 461*o**2 + 695*o - 333. Let t(i) = 7*q(i) - 5*r(i). Suppose t(u) = 0. What is u?
-9, -2, 1/7
Let g(d) = -32*d + 2. Let p(i) = 11*i - 1. Let q(s) = 3*g(s) + 8*p(s). Let j be q(-1). Factor -j*l + 2*l**2 - l + 0*l - l.
2*l*(l - 4)
Let f be ((-16)/(128/(-84)))/(-30). Let z = 3/20 - f. Suppose 0 - z*o**2 + 5/2*o = 0. What is o?
0, 5
Let k(a) be the second derivative of -a**3/2 - 129*a**2/2 + 206*a. Let d be k(-43). Suppose 2/5*q - 2/15*q**4 + d - 14/15*q**2 + 2/3*q**3 = 0. What is q?
0, 1, 3
Let b(c) be the first derivative of 28*c**3/9 - 1292*c**2/3 + 736*c/3 + 879. Factor b(j).
4*(j - 92)*(7*j - 2)/3
Suppose 30 = 3*p, 104*a - 108*a + 8*p - 72 = 0. Let -8*x + 1/2*x**a + 32 = 0. What is x?
8
Let k be -1*(1*-6 - -1). Suppose -4*r + 12 = -0*r. Determine w so that -1 - r*w**4 + 2*w**4 + 4*w**2 + 3*w**2 - k*w**2 = 0.
-1, 1
Let i(p) be the second derivative of 35*p**4/4 + 841*p**3/3 + 16*p**2 - 13338*p. Factor i(z).
(z + 16)*(105*z + 2)
Factor -12*t**2 - 734*t - 4907 - 35093 + 8*t**2 - 66*t.
-4*(t + 100)**2
Let v be 2/(-13) + 52 + (-56848)/1105. Determine s so that v*s**4 + 336/5*s**2 + 0 + 10*s**3 + 288/5*s = 0.
-12, -1, 0
Let h(k) = -k**4 + 75*k**3 + 74*k**2 - 4*k + 4. Let x(f) = f**4 - 150*f**3 - 146*f**2 + 10*f - 10. Let z(s) = -5*h(s) - 2*x(s). Factor z(v).
3*v**2*(v - 26)*(v + 1)
Let j(d) be the first derivative of d**4/102 - 8*d**3/17 + 144*d**2/17 + 21*d - 76. Let o(z) be the first derivative of j(z). Let o(s) = 0. Calculate s.
12
Factor 338*u**4 + 337*u**4 - 18*u**2 - 672*u**4 + 24*u - 9.
3*(u - 1)**3*(u + 3)
What is b in -b**2 + 2*b**2 - 869*b + 885*b - 39 + 3 = 0?
-18, 2
Let b(k) = 26*k + 86. Let l be b(17). What is z in -2*z**2 + 4*z**2 - z**3 - l + 13*z + 538 = 0?
-2, -1, 5
Factor -80/3 - 10*n**2 + 36*n + 2/3*n**3.
2*(n - 10)*(n - 4)*(n - 1)/3
Let h be (-38226)/(-4761) - (2 - (1 - 7)). Let n(s) be the first derivative of -2/23*s**2 - h*s**3 - 15 - 2/23*s. Factor n(q).
-2*(q + 1)**2/23
Let s(w) = 5*w**4 - 99*w**3 - 459*w**2 - 594*w - 246. Let c(j) = -2*j**4 + 49*j**3 + 227*j**2 + 296*j + 123. Let q(g) = -14*c(g) - 6*s(g). Factor q(t).
-2*(t + 1)**2*(t + 3)*(t + 41)
Suppose -1525*l + 262*l = -2526. Solve -7/2*n - l*n**5 - 7/2*n**2 + 5/2*n**4 + 1 + 11/2*n**3 = 0.
-1, 1/4, 1, 2
Let v(q) = 7*q - 7. Let z be v(5). Suppose 4 = z*j - 26*j. Let -2*i**4 - 4*i - i**j - 6*i**3 + 2*i**5 + 0*i + 11*i**2 = 0. What is i?
-2, 0, 1
Let s be ((-3)/10)/(-38 + (-1810)/(-600)*12). Find q such that 27 - 39/2*q - s*q**3 + 10/3*q**2 = 0.
2, 9
Let o(z) be the third derivative of -z**7/42 - z**6/2 + z**5/4 + 1075*z**4/12 + 1000*z**3 + 1855*z**2. Factor o(q).
-5*(q - 6)*(q + 5)**2*(q + 8)
Let d(n) be the first derivative of 0*n + 0*n**4 + 3/10*n**2 - 2/5*n**3 - 51 + 6/25*n**5 - 1/10*n**6. Factor d(m).
-3*m*(m - 1)**3*(m + 1)/5
Factor -1/6*i**2 - 169/2 + 254/3*i.
-(i - 507)*(i - 1)/6
Let w(a) be the second derivative of -a**6/1260 + a**5/30 + 12*a**3 + 18*a. Let h(d) be the second derivative of w(d). Find u such that h(u) = 0.
0, 14
Let b be (1994 + -1995)*1/(-5). Factor -1/5*u**3 + 3/5*u**2 + 0*u + b*u**5 + 0 - 3/5*u**4.
u**2*(u - 3)*(u - 1)*(u + 1)/5
Let b(x) = 393*x + 2*x**2 + 392*x - 11 - 787*x. Let f(y) = 2*y + 8 - 2 - y**2 - y. Let r(i) = 6*b(i) + 11*f(i). Factor r(n).
n*(n - 1)
Let z(w) be the first derivative of 35*w - 75/2*w**2 - 5/4*w**4 + 15*w**3 + 190. Factor z(t).
-5*(t - 7)*(t - 1)**2
Let d(b) be the second derivative of -62*b - 2*b**3 - 18*b**2 - 1/12*b**4 + 0. Factor d(x).
-(x + 6)**2
Suppose 5*w + 35 = 4*s, 3*s - 2*w = 38 - 10. Suppose 5*f - 10 = -5*q, 6*f - 5*q = 10*f - s. Let -2/15*m**3 + 0*m + f - 2/3*m**2 = 0. What is m?
-5, 0
Find x such that 0 + 2/3*x**3 - 35/6*x**2 + 1/2*x**4 - 2*x = 0.
-4, -1/3, 0, 3
Let t(i) be the third derivative of -121*i**6/60 - 81*i**5/10 - i**4/6 + 4551*i**2. Factor t(z).
-2*z*(z + 2)*(121*z + 1)
Let r(d) = -5*d**2 - 2 + 4*d**3 + 0 - 10*d + d**3. Let t(y) = 0 + 1 - 3 - 1 + 2. Let q(z) = -r(z) + 2*t(z). Factor q(f).
-5*f*(f - 2)*(f + 1)
Let o(j) be the third derivative of -j**5/480 - 5*j**4/192 + 1563*j**2. Factor o(x).
-x*(x + 5)/8
Let q be 8*1290/(-4214)*21/(-36). Find b such that -80/7*b - q*b**3 + 24/7 + 54/7*b**2 = 0.
2/5, 2, 3
Let t(m) be the third derivative of m**7/70 - m**6/5 - 19*m**5/20 - 5*m**4/4 - 4*m**2 + 110*m. Determine q so that t(q) = 0.
-1, 0, 10
Find s, given that -4/5*s**4 - 232/5 - 222/5*s**2 - 53/5*s**3 - 76*s = 0.
-29/4, -2
Let w = 84 - 77. Find b, given that -11 - 101*b**3 + 165*b + w - 64*b**3 - 6 + 10*b**2 = 0.
-1, 2/33, 1
Suppose -474 = -7*o - 544. Let m be 3 + 6/(4 + o). Determine z, given that 4/5*z**m + 0*z**3 + 0 - 4/5*z**4 + 0*z = 0.
-1, 0, 1
Let d(y) = 3*y + 79. Let o be d(-25). Let 9*l**o - 18*l**3 - 15*l**5 + 23*l**3 + 10*l**2 - 29*l**4 = 0. What is l?
-1, 0, 2/3
Suppose 571 = -2*f - 3*u + 535, -5*f + 3*u + 36 = 0. Suppose f*j + 0 - 1/5*j**3 + 9/5*j**2 = 0. What is j?
0, 9
Let q(y) be the third derivative of y**8/1512 - 17*y**7/189 + 97*y**6/36 + 3277*y**5/54 - 9200*y**4/27 + 2116*y**3/3 - 8782*y**2. Solve q(l) 