*u. Suppose -z + 19 - 4 = 0. What is b in -126*b**2 + 20*b**w - z*b + 170*b**2 - 99*b**2 = 0?
-1/4, 0, 3
Let z(m) be the third derivative of m**8/33600 - m**7/1050 + m**6/100 + 3*m**4/8 - m**3/6 + m**2 - m. Let w(h) be the second derivative of z(h). Factor w(a).
a*(a - 6)**2/5
Let d(l) = 6*l**2 + 99*l + 627. Let j(a) = -16*a**2 - 297*a - 1884. Let w(y) = 17*d(y) + 6*j(y). Factor w(f).
3*(f + 5)*(2*f - 43)
Let o(v) be the third derivative of 2 + 18*v**2 - 1/9*v**3 + 0*v + 1/18*v**4 - 1/120*v**5. Let o(h) = 0. Calculate h.
2/3, 2
Let q = -51 + 53. Let w be 47 + ((-12)/3 + q)*-2. Factor w*j**3 + 6*j**4 - j**2 - 2*j - 93*j**3 + 49*j**3.
j*(j + 1)*(2*j - 1)*(3*j + 2)
Let w(f) = -f**2 + 9*f + 14. Let t(r) = -15*r**2 + 164*r + 14. Let h be t(11). Let m(b) = 8*b + 4 - b**2 + 7 + 4. Let n(j) = h*w(j) - 2*m(j). Factor n(y).
-(y - 12)*(y + 1)
Factor 304*a - 28880 - 4/5*a**2.
-4*(a - 190)**2/5
Suppose -6*j + j = n - 3074, 5*n - 20 = 0. Factor -4*o**3 + 359 + 544 - j - 323*o + 35*o**2 + 3*o**3.
-(o - 17)**2*(o - 1)
Suppose -8/3*f**3 + 2/9*f**5 + 0 + 32/9*f**2 + 0*f**4 + 0*f = 0. Calculate f.
-4, 0, 2
Let h(o) be the third derivative of 0 + 10*o**2 + 0*o - 9/10*o**5 + 14*o**4 + 196/3*o**3 + 1/60*o**6. Solve h(n) = 0.
-1, 14
Let w(i) = i**2 - 18847*i + 56535. Let q be w(3). Determine g, given that 2/3*g**5 - 4/3*g**4 + 4*g**2 + 0*g + 0 - 10/3*g**q = 0.
-2, 0, 1, 3
Let b = -11939/50 - 551/50. Let i = -249 - b. Factor 0 + 2/5*u**2 - 4/5*u**3 + i*u - 2/5*u**4.
-2*u*(u - 1)*(u + 1)*(u + 2)/5
Let 0*b**3 - 3/4*b**4 + 0 + b**5 + 0*b**2 + 0*b = 0. Calculate b.
0, 3/4
Let n(r) be the third derivative of 0*r + 16*r**2 - 65/24*r**4 + 25*r**3 + 1/12*r**5 - 8. Factor n(k).
5*(k - 10)*(k - 3)
Factor 32 - 3*n + 4*n**4 - 25*n - 71*n**2 + 35*n**2 + 28*n**3.
4*(n - 1)**2*(n + 1)*(n + 8)
Solve 4/3*c**2 - 4/3*c**4 + c**5 - 6*c**3 + 5*c + 0 = 0 for c.
-5/3, -1, 0, 1, 3
Let a = -7342 - -7345. Let u(r) be the first derivative of 12/7*r - 24 - 3/7*r**a - 3/28*r**4 + 0*r**2. Factor u(y).
-3*(y - 1)*(y + 2)**2/7
Let k(n) be the third derivative of n**7/1050 + n**6/150 - n**5/100 - 7*n**4/60 - 4*n**3/15 + 10*n**2 - 32. Find y, given that k(y) = 0.
-4, -1, 2
Let s be ((-1014)/(-10))/(6/(-150)*5). Let a = -505 - s. Determine h, given that -1/2*h**4 + 1/2 + 0*h**a + h**3 - h = 0.
-1, 1
Let f(g) be the second derivative of -2/3*g**3 - 13*g - 1/2*g**4 - 4 - 1/10*g**5 + 0*g**2. Find v such that f(v) = 0.
-2, -1, 0
Let g = -560 + 560. Suppose g = 30*n - 23 - 37. Solve 3*d**n + 0*d + 0 + 6*d**3 - 63/4*d**4 = 0.
-2/7, 0, 2/3
Let p(l) be the first derivative of 2*l**5/15 + 13*l**4/12 + 17*l**3/9 - 2*l**2 - 834. Factor p(x).
x*(x + 3)*(x + 4)*(2*x - 1)/3
Let c = -7943/37 - -15923/74. Suppose -c*w**2 + 2*w - 1/4*w**3 + 0 = 0. What is w?
-4, 0, 2
Let -16/5*l - 24/5*l**3 + 58/5*l**2 - 8/5 = 0. Calculate l.
-1/4, 2/3, 2
Let x(r) be the first derivative of 14/3*r + 1/3*r**2 + 4/15*r**5 + 292 + 11/6*r**4 - 14/3*r**3. Determine h so that x(h) = 0.
-7, -1/2, 1
Let i(w) = 3*w**2 - 2*w + 2. Let d(f) = -f**2 - f - 1. Let l be ((-13)/((-13)/(-10)) - -4)/(-3). Let g(y) = l*d(y) + i(y). Let g(v) = 0. Calculate v.
0, 4
Suppose 2 = 188*q + 8 - 6. Let m(j) be the first derivative of 4/15*j**5 + q*j - 10 + 0*j**2 - 1/9*j**6 + 1/6*j**4 - 4/9*j**3. Let m(b) = 0. Calculate b.
-1, 0, 1, 2
Let q(a) = 45*a**4 + 72*a**3 - 689*a**2 - 247*a. Let l(y) = -11*y**4 - 18*y**3 + 173*y**2 + 63*y. Let o(v) = 11*l(v) + 3*q(v). Let o(i) = 0. What is i?
-4, -2/7, 0, 3
Let r(a) be the second derivative of -a**5/4 + 125*a**4/12 + 545*a**3/3 + 480*a**2 - 2741*a. Let r(k) = 0. Calculate k.
-6, -1, 32
Determine g, given that 69/2*g**2 + 3/2*g**3 - 3456 - 48*g = 0.
-16, 9
Let d = 198 - 195. Suppose d*j - 12 = j - 2*f, -2*f = -8. Factor -2/11 + 4/11*x - 2/11*x**j.
-2*(x - 1)**2/11
What is x in -122 + 269*x + 914*x**2 - 469*x**2 + x**3 - 537*x**2 - 22 - 34 = 0?
1, 2, 89
Let r(l) be the first derivative of l**2 + 4 - 1/2*l**4 + 1/5*l**5 - 1/3*l**3 + 0*l. Factor r(h).
h*(h - 2)*(h - 1)*(h + 1)
Let w = 424649/9 - 47183. Determine j, given that w*j + 0 - 2/9*j**2 = 0.
0, 1
Suppose -164*r = -511*r + 1388. Let s(o) be the second derivative of 1/3*o**3 + 0 + 21*o + 2/3*o**r + 7/30*o**5 - 2/3*o**2. Suppose s(m) = 0. Calculate m.
-1, 2/7
Let l(j) be the first derivative of 1296*j - 36*j**2 + 1/3*j**3 + 89. Factor l(r).
(r - 36)**2
Let m be (250 + -252 - (-1 - 8/18))*(-396)/15. Factor -152/3*i + 48 + m*i**2 - 2/3*i**3.
-2*(i - 18)*(i - 2)**2/3
Let o = 74 + -79. Let q be (6/o)/((-2)/5). Solve -5*r + 46*r - 20*r**q - 28*r**2 - 9*r + 16 = 0.
-2, -2/5, 1
What is j in -245*j**3 + 15*j**4 - 153*j - 173 - 982*j - 925*j**2 - 20*j**4 - 277 = 0?
-45, -2, -1
Let d(n) = -2*n - 4. Let k be d(-3). Factor -5*q**3 + 20*q**k - 18*q**2 - 12*q + 7*q**3.
2*q*(q - 2)*(q + 3)
Suppose -2071 = -12*m + 413. Suppose -14*g + 6 + m*g**2 + g**4 - 210*g**2 - 14 + 4*g**3 = 0. What is g?
-4, -1, 2
Determine f, given that 13*f - 125*f - 1595 + 2*f**2 + 3*f**2 - 1036*f - 442*f = 0.
-1, 319
Let s(n) be the first derivative of -7*n**6/2 + 342*n**5/5 - 297*n**4 + 440*n**3 - 144*n**2 - 1040. Determine d so that s(d) = 0.
0, 2/7, 2, 12
Let z be 16/(-72)*(-27)/18. Let i(m) be the third derivative of 7/240*m**6 - 1/4*m**4 + 3*m**2 + 0 + 3/40*m**5 + 0*m - z*m**3. Let i(c) = 0. What is c?
-2, -2/7, 1
Let v = -7856 - -7856. Let p(x) be the first derivative of -1/8*x**2 + 1/24*x**3 + v*x - 15. Find t, given that p(t) = 0.
0, 2
Suppose 164 = -17*p + 58*p. Determine b so that -p*b**2 - 117 - 4*b**3 - 135 - 132*b + 10*b**3 - b**3 - b**3 = 0.
-3, 7
Let m(g) = -g**3 + 17*g**2 + 197*g + 208. Let u be m(-7). Factor 16/9*t**4 + 34/9*t + 2/9*t**u + 8/9 + 44/9*t**3 + 56/9*t**2.
2*(t + 1)**4*(t + 4)/9
Let s = -233 + 235. Factor 9 + 118*r**2 - 236*r**s - 6*r + 115*r**2.
-3*(r - 1)*(r + 3)
Let p(u) be the second derivative of u**6/120 + 17*u**5/30 + 65*u**4/24 + 16*u**3/3 - 15*u**2 - 231*u. Let z(d) be the first derivative of p(d). Factor z(y).
(y + 1)**2*(y + 32)
Let r(y) be the second derivative of y**7/14 + y**6/10 - 9*y**5/5 + y**4 + 8*y**3 + 311*y + 1. Determine c, given that r(c) = 0.
-4, -1, 0, 2
Let d = 81 - 79. Factor 4*z**3 + 7*z**d + 48*z + 31*z**2 - 90*z**2.
4*z*(z - 12)*(z - 1)
Let h(n) be the third derivative of -n**6/540 - n**5/54 - n**4/18 - 419*n**2. Factor h(b).
-2*b*(b + 2)*(b + 3)/9
Let o(r) = r**5 - r**4 + r**3 + r**2 + r - 1. Let q(i) = 5*i**5 - 7*i**4 + 2*i**3 + 10*i**2 + 5*i - 7. Let a = 92 - 91. Let d(u) = a*q(u) - 4*o(u). Factor d(n).
(n - 3)*(n - 1)**2*(n + 1)**2
Suppose 0*k - 4*k + 16 = 4*h, 4*h - k = 6. Factor 3*n**3 + 18*n**3 - 26*n**3 - 45*n**h.
-5*n**2*(n + 9)
Let o(r) be the third derivative of r**5/600 - 21*r**4/40 + 62*r**3/15 + 2*r**2 + 10*r + 4. Solve o(b) = 0 for b.
2, 124
Suppose -112*t = -125*t - 68*t. Let p(s) be the second derivative of 0*s**2 - 1/66*s**4 + 10/33*s**3 + t - 44*s. Determine v, given that p(v) = 0.
0, 10
Suppose 8 = 2*t + 2*u - 0, -5*u - 36 = -3*t. Suppose -c + t = 2. What is q in -5 - 4*q**3 + 5*q - c*q**2 + 5 - q**3 + 5 = 0?
-1, 1
Determine d so that -239/3*d**2 + 0 + 119/3*d - 1/3*d**4 + 121/3*d**3 = 0.
0, 1, 119
Let n(h) = 1832*h**3 - 3132*h**2 - 920*h - 13. Let r(u) = 2*u**3 - 10*u**2 - 1. Let d(g) = -2*n(g) - 22*r(g). What is m in d(m) = 0?
-2/9, -3/103, 2
Let z(x) be the first derivative of -3*x**5/140 + 3*x**3/14 - 3*x**2/7 - 90*x - 8. Let h(o) be the first derivative of z(o). Factor h(p).
-3*(p - 1)**2*(p + 2)/7
Let k(m) be the second derivative of m**7/84 - 23*m**6/30 + 489*m**5/40 - 523*m**4/6 + 940*m**3/3 - 528*m**2 - 2*m - 6709. Factor k(u).
(u - 33)*(u - 4)**3*(u - 1)/2
Let i(h) = h**5 - h**4 - h**3 - h + 12. Let c(d) = 14*d**5 - 3*d**3 - 280*d**2 - 269*d + 668. Let z(a) = 2*c(a) - 26*i(a). Find x, given that z(x) = 0.
-8, -2, 1, 4
Find q such that 8220*q**3 - 8218*q**3 - 106*q**2 - 52*q + 56*q**2 = 0.
-1, 0, 26
Let l(g) be the second derivative of 19/2*g**4 + 0*g**2 - 1/20*g**5 - 14 + 5*g - 1083/2*g**3. Let l(i) = 0. Calculate i.
0, 57
Suppose 5598*a = 5618*a - 280. Let p(b) be the first derivative of -a*b**2 + 4/3*b**3 + 0*b + 7. Suppose p(g) = 0. What is g?
0, 7
Let w(t) be the second derivative of 1/6*t**4 + 0 + 5/21*t**3 + 85*t - 2/7*t**2. Find b, given that w(b) = 0.
-1, 2/7
Let z = -578 - -2684. Find a such that -4*a**3 - 36*