en that -13*q - f*q + 3*q**2 + 14*q = 0.
0, 3
Factor 23*u - 1/2*u**3 + 16 + 13/2*u**2.
-(u - 16)*(u + 1)*(u + 2)/2
Let g(i) be the third derivative of -i**7/210 + 2*i**6/45 - i**5/6 + i**4/3 + 10*i**3 + 9*i**2 - 1. Let m(y) be the first derivative of g(y). Factor m(n).
-4*(n - 2)*(n - 1)**2
Suppose 0 = 2*v + 8, -59 = -l - 2*l + 5*v. Suppose -l = -3*s + 23. Suppose -2*i**2 + 42*i**3 + 5*i**4 - 27*i**3 + s*i**2 = 0. Calculate i.
-2, -1, 0
Let c be (-168)/(-70) + 612/(-30) + 20. Factor -3/8*n**c - 27/4 - 57/8*n.
-3*(n + 1)*(n + 18)/8
Let h(x) = 150*x - 4326. Let k be h(29). Let w(q) be the first derivative of 2/15*q**3 - k - 3/5*q**2 - 8/5*q. Solve w(u) = 0.
-1, 4
Suppose 7*z + 0 + 43*z**2 + 11/4*z**4 + 101/4*z**3 = 0. What is z?
-7, -2, -2/11, 0
Let d(p) = p**3 - 21*p**2 - p - 476. Let q be d(22). Let z be (16/64*q)/(0 - 2). Determine u so that z*u + 1/4*u**2 + 3/2 = 0.
-6, -1
Let n = -10880 + 10884. Let a(v) be the first derivative of 2/15*v**3 + 0*v - 29 + 1/20*v**n + 1/10*v**2. Find f, given that a(f) = 0.
-1, 0
Let d(u) be the first derivative of 49*u**6/39 - 3892*u**5/65 + 10427*u**4/13 - 58600*u**3/39 - 9671*u**2/13 - 1444*u/13 + 117. Suppose d(x) = 0. Calculate x.
-1/7, 2, 19
Let r(v) = v + 1. Let p(q) = 3*q**3 - 340*q**2 + 9521*q + 6500. Let d(w) = -3*p(w) + 6*r(w). Determine i, given that d(i) = 0.
-2/3, 57
Determine c so that -6*c - 1/3*c**2 + 19/3 = 0.
-19, 1
Determine p so that 3365/3*p**2 + 5/3*p**4 - 90*p**3 + 2520*p + 3920/3 = 0.
-1, 28
Suppose -5 = 5*n - 20. Let d be ((-20)/(-70))/(n/56). Solve 0*c + 8/3*c**3 - 2/3*c**5 - d*c**2 + 4/3*c**4 + 0 = 0 for c.
-2, 0, 2
Let r = 3770/3 + -226199/180. Let b(k) be the third derivative of k**2 + 0 + r*k**6 - 1/36*k**4 - 1/630*k**7 + 0*k**3 + 1/180*k**5 + 0*k. Factor b(h).
-h*(h - 2)*(h - 1)*(h + 1)/3
Let l(f) be the third derivative of 0*f - 1/45*f**6 + 2/315*f**7 - 1/45*f**5 + 76*f**2 + 1/9*f**4 + 0*f**3 + 0. Find n such that l(n) = 0.
-1, 0, 1, 2
Suppose 0 = 79*a - 76*a - 27. Suppose 15 = 3*u + a. Factor -4*x - 16 - 1/4*x**u.
-(x + 8)**2/4
Let a(n) be the second derivative of n**6/30 - 29*n**5/20 - 5*n**4/2 - 700*n. Factor a(j).
j**2*(j - 30)*(j + 1)
Find b, given that -15*b**4 + 205 - 170 - 1086*b + 1086*b**3 + 397 - 417*b**2 = 0.
-1, 2/5, 1, 72
Let x = -11809 - -11812. Let i(s) be the third derivative of 0*s - 1/3*s**4 + 24*s**2 + 1/12*s**5 + 1/2*s**x + 0. Suppose i(n) = 0. What is n?
3/5, 1
Let z = -1739/6 - -290. Let f(n) be the third derivative of 8*n**2 + 0*n**5 - 1/16*n**4 + 1/240*n**6 + z*n**3 + 0*n + 0. What is c in f(c) = 0?
-2, 1
Let u = -400 + 1743. Suppose -16*f - 1359 - 2*f**2 - 2*f**2 + u = 0. Calculate f.
-2
Factor 0 + 177/5*y**2 - 9/5*y**3 + 186/5*y.
-3*y*(y + 1)*(3*y - 62)/5
Factor -1250/9*k**2 + 0*k + 0 + 260/9*k**3 - 2/9*k**4.
-2*k**2*(k - 125)*(k - 5)/9
Let j(k) be the second derivative of -k**5/4 - 925*k**4/4 + 1106*k. Factor j(d).
-5*d**2*(d + 555)
Let r(w) = -8*w**2 - 14*w - 3. Let v be r(-3). Let x = 122 + v. What is g in 14 + 10*g - 4 + x*g**2 + 5*g - 84*g**2 = 0?
-2, -1
Determine b, given that 3/8*b**3 + 9*b**2 + 81/4 - 237/8*b = 0.
-27, 1, 2
Let h(p) = 72*p**3 - 1476*p**2 - 11520*p - 22822. Let s(v) = 11*v**3 - 246*v**2 - 1920*v - 3804. Let w(l) = 6*h(l) - 39*s(l). Factor w(b).
3*(b + 4)**2*(b + 238)
Let y(f) be the third derivative of -19*f**7/1050 + f**6/300 + 19*f**5/100 - 11*f**4/30 + 2*f**3/15 + 14*f**2 - 7. Determine l, given that y(l) = 0.
-2, 2/19, 1
Let 6654830 + a**2 + 12*a + 5*a**2 + a**3 - 6654822 = 0. Calculate a.
-2
Let p(u) = 8*u**3 - 206*u**2 + 264*u - 6. Let o(n) = -7*n**3 + 217*n**2 - 265*n + 5. Let s(g) = -6*o(g) - 5*p(g). Determine r so that s(r) = 0.
0, 1, 135
Let y(q) be the first derivative of -q**4/4 - 45*q**3 - 66*q**2 + 268*q + 319. Factor y(w).
-(w - 1)*(w + 2)*(w + 134)
Let k(o) be the second derivative of o**6/20 + 9*o**5/5 + 51*o**4/4 + 34*o**3 + 171*o**2/4 + 770*o. Suppose k(y) = 0. Calculate y.
-19, -3, -1
Let f be 1/(-2)*((-3432)/(-2002))/(4/(-14)). Let 46/13*a**2 - 288/13 - 2/13*a**f - 240/13*a = 0. What is a?
-1, 12
Let n be 48/(-132)*(-6 + (-6)/(-12)). Factor -21/4*b**n - 9/2 + 3/4*b**4 - 3/4*b**3 + 39/4*b.
3*(b - 2)*(b - 1)**2*(b + 3)/4
Let s(i) = -6*i**3 - 3870*i**2 - 622088*i + 625964. Let k(n) = 9*n**3 + 5805*n**2 + 933131*n - 938945. Let x(v) = 5*k(v) + 8*s(v). Factor x(m).
-3*(m - 1)*(m + 323)**2
Let h(v) be the third derivative of 0 - 11/30*v**5 + 41/24*v**4 - 10/3*v**3 + 0*v + 1/120*v**6 - 127*v**2. Factor h(n).
(n - 20)*(n - 1)**2
Suppose 336 = 6*d + 58*d - 368. Let z(w) be the third derivative of 0 + 0*w**3 + 1/270*w**5 - d*w**2 + 0*w + 0*w**4. Let z(v) = 0. Calculate v.
0
Determine v, given that -15*v**3 + 188620/3*v + 20960 + 47140*v**2 = 0.
-2/3, 3144
Let -1/2*n**4 + 18*n**2 - 18*n + 0 + 1/2*n**3 = 0. Calculate n.
-6, 0, 1, 6
Let z(q) = -q**2 - 4*q - 2. Let u be z(-2). Find s such that 3*s**3 - 2*s + 410*s**2 - 3*s**3 + s**3 - 409*s**u = 0.
-2, 0, 1
Let f(x) = -4*x**2 - 13*x - 40. Let d(p) = -p**2 + 3*p. Let a(q) = -6*d(q) + 2*f(q). Factor a(b).
-2*(b + 2)*(b + 20)
Determine x so that -43*x**3 - 134*x**3 + 176*x**3 + 29*x**2 = 0.
0, 29
Let k(f) be the second derivative of f**5/10 + 41*f**4/18 - 154*f**3/3 - 2975*f. Factor k(y).
2*y*(y + 21)*(3*y - 22)/3
Suppose 2*z - 4*i = -4, -5*z + 3*i = 4*i - 12. Suppose 3*t + 4 - 10 = 0. Factor q**5 - 53*q**3 + q**4 + 50*q**3 + z*q**t - q**4.
q**2*(q - 1)**2*(q + 2)
Let i(k) be the first derivative of -2*k**3/27 - 19*k**2/9 - 40*k/3 - 1146. Factor i(q).
-2*(q + 4)*(q + 15)/9
Suppose -5*q = 3*h - 2*h - 94, 4*q - 76 = -h. Let w = q - 16. Determine o so that 20*o**w - 20*o + 81*o**3 - 41*o**3 - 45*o**3 = 0.
0, 2
Let g(w) be the first derivative of 2*w**3/3 - 62*w**2 - 256*w + 764. Find s such that g(s) = 0.
-2, 64
Determine i so that 16*i + 42 - 389*i**2 - 42 + 114*i**3 - 22*i**4 + 281*i**2 = 0.
0, 2/11, 1, 4
Let j(l) be the second derivative of l**6/240 + l**5/32 + 5*l**4/96 - 5*l**3/48 - 3*l**2/8 - 2808*l. Solve j(i) = 0 for i.
-3, -2, -1, 1
Let h be 2*(-108)/576*(-12)/81. Let i(g) be the second derivative of 0 + 25*g + 1/90*g**6 + h*g**4 + 0*g**3 - 1/20*g**5 + 0*g**2. Suppose i(w) = 0. What is w?
0, 1, 2
Let x(w) be the first derivative of 4/3*w + 2/3*w**2 + 1/9*w**3 - 219. Factor x(f).
(f + 2)**2/3
Let t(a) be the first derivative of a**6/18 - 41*a**5/15 + 197*a**4/6 + 218*a**3/3 - 777*a**2/2 + 441*a + 1108. Solve t(x) = 0.
-3, 1, 21
Let a(d) be the second derivative of d**8/6720 - d**7/210 + 17*d**4/6 - 78*d. Let b(j) be the third derivative of a(j). Factor b(k).
k**2*(k - 12)
Let f(l) be the first derivative of 4*l**3/3 - 69*l**2/2 + 82*l - 393. Let w be f(16). Suppose 4/7 + 16/7*v**w + 6/7*v**3 + 2*v = 0. Calculate v.
-1, -2/3
Let r(d) = 82 + 85*d + 94 - 73*d + 116. Let c be r(-24). Solve 9/2*i**3 - 15/2*i**2 + 0 - 25/2*i - 1/2*i**c = 0.
-1, 0, 5
Let a(t) be the second derivative of t**4/12 + t**3/2 + 5*t**2/2 - 10*t - 1. Let o be a(-2). Factor 2/7*i**o - 4/7*i**2 - 8/7*i + 16/7.
2*(i - 2)**2*(i + 2)/7
Let i(s) = -s**3 + 7*s**2 - 4*s - 7. Let o be i(6). Suppose -o*j + 2*b + 14 = -0*b, -3*b = 6. Determine m so that -2*m**2 + 2*m**2 - 2*m + 2*m**j - 2*m = 0.
0, 2
Factor 4/7*a**3 + 222/7*a**2 + 320/7*a - 216/7.
2*(a + 2)*(a + 54)*(2*a - 1)/7
Factor 381/5*h + h**4 - 167/5*h**2 - 126/5 + 3/5*h**3.
(h - 3)**2*(h + 7)*(5*h - 2)/5
Suppose 6*w + 92 = 452. Factor 780*m + 368*m**2 + 12 + 5*m**5 - 1038*m**2 - w*m**4 + 131*m**3 + 154*m**3 - 372.
5*(m - 3)**2*(m - 2)**3
Suppose -7*c + 228 = 12*c. What is b in -2*b**3 + 318*b + c*b**2 - 625*b + 309*b - 12 = 0?
-1, 1, 6
Suppose -6 = -2*w - 0*w. Suppose 4*y = w*y + 3. Determine q, given that 21*q**y - 5*q + 4*q + 0*q**3 + 2 - 22*q**2 = 0.
-2/7, 1/3, 1
Let y(u) be the second derivative of u**5/360 - u**3/9 - 117*u**2/2 - 12*u. Let w(b) be the first derivative of y(b). Factor w(g).
(g - 2)*(g + 2)/6
Let s(l) be the third derivative of 0*l**4 - 1/140*l**7 + 0*l**3 - 1/240*l**6 + 10*l + 0 - 4*l**2 - 1/336*l**8 + 0*l**5. Let s(y) = 0. What is y?
-1, -1/2, 0
Solve -4/7*l**3 + 0 - 4376/7*l - 2196/7*l**2 = 0.
-547, -2, 0
Suppose 0 = -2*p - w + 255, 21*w = 16*w - 25. Let b be -4 - p/(-52)*24/10. Factor 1/2 + 1/4*o**b + 3/4*o.
(o + 1)*(o + 2)/4
Let d = -1245 - -1252. Let k be 4 - (11 + d/(-1)). Solve k*p + 2/9*p**3 + 0 - 4/9*p**2 = 0.
0, 2
Let