en that 0*r**w - 5*r**2 + 45*r - 35*r = 0.
0, 2
Suppose -2*i + 74 = 2*i - 2*j, 5*j = 2*i - 33. Suppose -16*m - 9 = -i*m. Factor 4/21*z**4 - 2/21*z + 0 + 8/21*z**2 - 10/21*z**m.
2*z*(z - 1)**2*(2*z - 1)/21
Let o = -141685 + 141687. Factor -192/5*x + 4/5*x**o + 2304/5.
4*(x - 24)**2/5
Let i(d) be the first derivative of -3*d**4/22 + 5072*d**3/11 - 4831071*d**2/11 + 19263468*d/11 - 4298. What is x in i(x) = 0?
2, 1267
Find i such that 91*i - 38/3*i**2 + 1/3*i**3 + 588 = 0.
-4, 21
Suppose 2*l - k = 4*k + 23, -2*k = -l + 10. Let i = -105 - -120. Factor -l*s + i*s**2 + 5*s**3 + 4*s + 10*s.
5*s*(s + 1)*(s + 2)
Let w(c) be the third derivative of -c**6/24 - 49*c**5/12 - 440*c**4/3 - 6050*c**3/3 + 235*c**2 - 2. Factor w(b).
-5*(b + 5)*(b + 22)**2
Let t(y) be the first derivative of 0*y + 76 + 3/4*y**4 + 9*y**2 + 7*y**3. Find m such that t(m) = 0.
-6, -1, 0
Let d be (-1302)/70 - (-45 + 34) - (-2 + (1 - 7)). Suppose d*q**2 - 2*q + 8/5 = 0. What is q?
1, 4
Let q(n) be the third derivative of -n**7/840 - 437*n**6/240 - 63947*n**5/80 - 47633*n**4/12 - 23762*n**3/3 + 2*n**2 - 101*n + 10. Factor q(j).
-(j + 1)**2*(j + 436)**2/4
Let g(q) be the third derivative of 29*q**7/42 + 39*q**6/4 + 625*q**5/12 + 235*q**4/2 + 30*q**3 - 677*q**2 + 3. What is d in g(d) = 0?
-3, -2, -2/29
Let b be (1722/(-28))/(-41) - (-1182)/(-4). Let y be 2/(-20) - (b/(-60) - 9). Suppose -9/4*g**2 + 15/4*g**y + 3/2*g**3 + 0 + 0*g = 0. What is g?
-1, 0, 3/5
Let x be (-11 + 189/9)*(-187)/(-3). Let t = x + -623. Solve 17/6*i - t + 19/6*i**2 = 0 for i.
-1, 2/19
Factor 8*c**3 - 22/3*c**4 + 0 + 0*c + 0*c**2 - 2/3*c**5.
-2*c**3*(c - 1)*(c + 12)/3
Let g(t) = 38*t**3 + 1215*t**2 + 74393*t + 73216. Let q(b) = -7*b**3 - 243*b**2 - 14879*b - 14643. Let o(n) = 8*g(n) + 44*q(n). Let o(p) = 0. What is p?
-121, -1
Let h = -367672/3105 - -3400/27. Let g = -3/230 + h. Suppose -5*d**4 + g*d**5 + 0*d + 0*d**2 + 0*d**3 + 0 = 0. What is d?
0, 2/3
Let j = -1763 - -1763. Let p(x) be the third derivative of 0*x + 1/40*x**5 + j*x**4 + 0*x**3 - 16*x**2 + 0 + 1/160*x**6. Factor p(q).
3*q**2*(q + 2)/4
Let w be 7/(231/(-407)) + 13. Let p be -3 + 2 - 6/(-2). Factor 4/3 - w*m**3 + p*m + 0*m**2.
-2*(m - 2)*(m + 1)**2/3
Let j be (-184)/6 - 3/(9/(-2)). Let c be 4/1 + 102/j. Factor c*a**3 + 0*a + 0 + 6/5*a**2 - 3/5*a**4.
-3*a**2*(a - 2)*(a + 1)/5
Let i(w) = -9*w**5 - 45*w**4 + 6*w**3 + 27*w**2 + 132*w - 21. Let l(g) = 2*g**5 + 11*g**4 - g**3 - 7*g**2 - 32*g + 5. Let r(j) = 5*i(j) + 21*l(j). Factor r(b).
-3*b*(b - 2)**2*(b + 1)**2
Let z be (-25 - -40)*(-72)/(-648). Factor -2/3*t**2 - 2/3*t**4 + z*t**3 + 0*t + 0.
-t**2*(t - 2)*(2*t - 1)/3
Let f(c) = -2*c**2 + 16*c. Let h be f(0). Let p be ((-20)/(-45))/(14/9). Factor h*r - 2/7*r**2 + p.
-2*(r - 1)*(r + 1)/7
Let o = -13/16519 + 1073787/66076. Factor -15/2*i**3 + o*i**2 + 5 - 15*i + 5/4*i**4.
5*(i - 2)**2*(i - 1)**2/4
Let i(t) be the third derivative of -85*t**2 - 1/75*t**5 + 0*t - 1/3*t**4 + 0*t**3 + 0. Let i(b) = 0. What is b?
-10, 0
Let -11/2*d + 1/4*d**2 - 26 = 0. What is d?
-4, 26
Let b(o) be the first derivative of o**6/30 + 2*o**5/5 + 5*o**4/4 - 4*o**3/3 - 8*o**2 + 53*o - 69. Let v(i) be the first derivative of b(i). Factor v(l).
(l - 1)*(l + 1)*(l + 4)**2
Determine t so that -80/3*t**4 + 16/3*t**3 + 0 + 0*t - 4/3*t**5 + 320/3*t**2 = 0.
-20, -2, 0, 2
Factor -1980/7 - 2/7*n**2 - 162/7*n.
-2*(n + 15)*(n + 66)/7
Let m(f) be the third derivative of f**5/30 + 199*f**4/12 - 134*f**3 + 2573*f**2. Factor m(d).
2*(d - 2)*(d + 201)
Let w = -288 - -290. Suppose -2 = -3*g - 2*i, -w*g + 3*i + 4 = -3*g. Factor 1/3*c**g + 0 + 0*c.
c**2/3
Let z be (-7)/((-140)/(-104))*((-1525)/1220)/((-38)/(-8)). Factor -z*s**2 - 2/19*s**3 + 58/19*s - 30/19.
-2*(s - 1)**2*(s + 15)/19
Let a = -103 - -234. Suppose h**2 + 131*h + a*h - 275*h - 14 = 0. What is h?
-1, 14
Let u = 3/275126 + 10317219/550252. Solve -5/4*x**4 - 25/2*x**3 - u*x**2 + 20 + 25/2*x = 0 for x.
-8, -2, -1, 1
Suppose -2809*h**4 - 17*h**2 - 108*h**3 - 2829*h**4 - 15*h**2 + 5652*h**4 = 0. What is h?
-2/7, 0, 8
Suppose -14*u - 24 = -15*u. Factor -58*m**2 + 3*m**3 + 105*m**2 - u*m**3 - 2*m**5 - m**3 - 14*m**4 - 57*m**2.
-2*m**2*(m + 1)**2*(m + 5)
Suppose 4*w = -4, 2*q - 3*w = -0 + 5. Let f be (2/(-3))/(q - (-51)/(-45)). Factor -7*b - 10*b + f*b**2 + 34*b + 50 + 18*b.
5*(b + 2)*(b + 5)
Let c(z) be the first derivative of -3*z**3/4 - 15*z**2/2 + 96*z - 9124. Factor c(v).
-3*(v - 4)*(3*v + 32)/4
Let q = 1 - 8. Let x be (-12)/28 - 17/q. Factor 3 - x*z**2 + z - z - 1 - z**3 + z.
-(z - 1)*(z + 1)*(z + 2)
Let z(g) be the first derivative of -g**4/34 + 20*g**3/51 + 175*g**2/17 + 1000*g/17 - 4549. Factor z(p).
-2*(p - 20)*(p + 5)**2/17
Let s(d) = 2*d - 10. Let h be s(8). Find x, given that -4*x**3 + 15*x**5 - x**4 - 10*x**3 + h*x**4 + 4*x**3 = 0.
-1, 0, 2/3
Suppose 0 = 7*a - 3188 + 913. Factor -325 - 5*o - 32*o**2 + 76*o**3 - 28*o**4 + a - 11*o.
-4*o*(o - 2)*(o - 1)*(7*o + 2)
Let f = -22727/120 + 948/5. Let g(c) be the second derivative of 0 + 5/48*c**4 + 33*c + f*c**3 - 5/4*c**2. Find z such that g(z) = 0.
-2, 1
Let q(j) = 7*j**2 - 32*j - 89. Let c(x) = 8*x**2 - 32*x - 92. Let k be (-4)/8 + (-18)/(-4). Let y(s) = k*q(s) - 3*c(s). Factor y(v).
4*(v - 10)*(v + 2)
Suppose -9657/5*u**2 + 0 - 186/5*u**3 - 90828/5*u - 1/5*u**4 = 0. Calculate u.
-87, -12, 0
Let q(g) be the second derivative of 0 + 3/20*g**4 - 3/100*g**5 - 81/10*g**2 + 108*g + 9/10*g**3. Factor q(n).
-3*(n - 3)**2*(n + 3)/5
Let n = 7398 - 7395. Let d(i) be the first derivative of -76/5*i**5 - 32*i**3 - 4*i + 31*i**4 + n*i**6 + 18 + 17*i**2. Find y, given that d(y) = 0.
2/9, 1
Let g(u) be the third derivative of u**8/1344 - 3*u**7/280 + 7*u**6/240 + 17*u**5/120 - 5*u**4/32 - 25*u**3/24 - 3*u**2 + 76*u. Suppose g(l) = 0. Calculate l.
-1, 1, 5
Let k(r) = 15*r - 21. Let t be k(3). Solve -36*n**2 + 60*n**2 - 42*n**2 - t - 45*n + 3*n**3 = 0.
-1, 8
Let s(d) = -6*d**3 + 544*d**2 - 1130*d + 522. Let a(z) = 5*z**3 - 544*z**2 + 1127*z - 525. Let k(y) = 10*a(y) + 9*s(y). Determine x, given that k(x) = 0.
-138, 1
Let n(y) be the second derivative of -y**5/110 - 2*y**4/11 + 128*y**3/11 - 1792*y**2/11 + 215*y + 3. Factor n(d).
-2*(d - 8)**2*(d + 28)/11
Let c(r) = r**2 - 34*r + 3. Let f be c(34). Factor 265*u**2 - 103*u - 60*u**3 + 8*u**f + 10*u**4 - 6*u**4 - 41*u - 73*u**2.
4*u*(u - 6)**2*(u - 1)
Suppose -30*o - 939 = -2499. Suppose 0 = -43*j + o*j. Find a, given that 0 + j*a**2 + 6/5*a**4 - 4/5*a**3 + 0*a - 2/5*a**5 = 0.
0, 1, 2
Let j(i) be the second derivative of -i**6/90 - i**5/6 - i**4 - 5*i**3/3 + i**2/2 - 9*i - 2. Let c(p) be the second derivative of j(p). Factor c(l).
-4*(l + 2)*(l + 3)
Let j(d) = -d**2 - 11*d - 16. Let v be j(-4). Let z be 32/v*(-180)/(-8). Find y such that y**2 - 4*y**2 - z*y**3 - 3*y**4 + 54*y**3 = 0.
-1, 0
Let m(v) be the second derivative of 5*v**7/14 + 11*v**6/6 - 3*v**5/4 - 65*v**4/4 - 100*v**3/3 - 30*v**2 + 2521*v. Let m(u) = 0. Calculate u.
-3, -1, -2/3, 2
Let f(p) = p**3 - 11*p**2 + 73*p + 303. Let i(a) = 8*a**3 - 78*a**2 + 512*a + 2122. Let c(b) = 44*f(b) - 6*i(b). Factor c(d).
-4*(d - 6)*(d + 5)**2
Let m = 55 - -129. Factor o**3 - m*o + 229*o + 4*o**2 + 8*o**2 + 50 + 0*o**3.
(o + 2)*(o + 5)**2
Let i(u) = 5*u + 15. Let p be i(-3). Suppose p = g - 4 + 2. Factor 103*j**4 - 20*j**5 + 22*j**4 - 40*j + 79*j**g - 270*j**3 + 141*j**2.
-5*j*(j - 2)**3*(4*j - 1)
Let b(k) be the second derivative of k**5/140 + 61*k**4/42 + 359*k**3/42 + 17*k**2 + 7*k - 268. Factor b(w).
(w + 1)*(w + 2)*(w + 119)/7
Let q be (24/6 - (0 - 1)) + -42. Let k = q - -260/7. Factor -169/7 - k*s**2 - 26/7*s.
-(s + 13)**2/7
Find z such that 4/5*z**5 - 22/5*z**4 + 0 + 8/5*z**3 + 0*z + 2*z**2 = 0.
-1/2, 0, 1, 5
Let w(a) be the third derivative of -a + 1/9*a**4 + 0 + 1/180*a**5 + 2/3*a**3 + 15*a**2. Factor w(z).
(z + 2)*(z + 6)/3
Let x be -2 + 7/(56/(-5664)). Let q = 4974/7 + x. Factor -12/7*t**2 - 6/7*t**4 - 13/7*t**3 - q*t - 1/7*t**5 + 0.
-t*(t + 1)**2*(t + 2)**2/7
Let r(f) be the third derivative of -1/90*f**6 + 2/3*f**3 + 0*f + 1/18*f**4 + 0 - 1/15*f**5 + 84*f**2. Factor r(k).
-4*(k - 1)*(k + 1)*(k + 3)/3
Determine a, given that -3535*a**2 - 3*a**3 - 4513134*a - 2181029*a + 939491*a + 5746368 + 11842*a**2 = 0.
1, 1384
Suppose 0 = 3*k + 6 - 21, 5*z - 25 = 5*k. Let -z*f - 1953 - 10*f - 315*f**2 + 1973 