y(j).
j*(j + 35)
Let n(i) be the second derivative of 112*i - 1/16*i**4 - 15/4*i**2 - 7/8*i**3 + 0. Factor n(m).
-3*(m + 2)*(m + 5)/4
Let l(v) be the second derivative of -13/120*v**6 - 11/48*v**4 + 0*v**2 - 1/168*v**7 + 0*v**3 - 23/80*v**5 - 14 - 2*v. Let l(m) = 0. Calculate m.
-11, -1, 0
Let s(b) = 153*b**4 - 636*b**3 + 171*b**2 - 18*b. Let q(d) = 152*d**4 - 635*d**3 + 171*d**2 - 17*d. Let f(w) = 6*q(w) - 5*s(w). Suppose f(t) = 0. Calculate t.
0, 1/7, 4
Let h(t) be the third derivative of 0 - 1/84*t**6 + 3*t - 3/28*t**4 + t**2 + 2/21*t**3 + 2/35*t**5. Factor h(a).
-2*(a - 1)**2*(5*a - 2)/7
Let h(o) = -o**2 - 324*o + 373. Let u(n) = 5*n**2 + 1935*n - 2240. Let t(z) = 25*h(z) + 4*u(z). Factor t(p).
-5*(p - 1)*(p + 73)
Let l(g) = -g**2 - 11*g - 16. Let w be l(-7). Factor -4*p**2 - p**3 - 8*p**2 + 12*p**4 - w*p + 6*p**3 + 4*p**3 + 3*p**5.
3*p*(p - 1)*(p + 1)*(p + 2)**2
Let z(d) = d**3 + 22*d**2 + 189*d + 324. Let c(b) = b**3 + b**2. Let u be -7 + -8 + (-3 - -19). Let w(n) = u*z(n) - 4*c(n). Factor w(i).
-3*(i - 12)*(i + 3)**2
Let h be -2*(2 - 1)*57/(-38). Let y(j) be the second derivative of -1/15*j**2 + 1/45*j**4 + 1/45*j**h + 9*j + 0. Find x, given that y(x) = 0.
-1, 1/2
Let i(r) = r**3 - 13*r**2 + 18*r - 70. Let u(b) = 5*b**2 + 15*b + 12. Let h be u(-3). Let s be i(h). Factor 21/2*x**s - 21 + 141/2*x.
3*(x + 7)*(7*x - 2)/2
Factor -1/6*f**2 + 29/3*f - 19/2.
-(f - 57)*(f - 1)/6
Let r = -53 + 70. Suppose -6 = a + 4*j, -r = -5*a + 3*j - 1. Factor 2/3*s**4 + 0 - 2/3*s**a + 0*s - 2/3*s**3 + 2/3*s**5.
2*s**2*(s - 1)*(s + 1)**2/3
Let p(h) be the second derivative of -h**4/114 + 3662*h**3/57 - 3352561*h**2/19 + 5326*h. Solve p(m) = 0 for m.
1831
Let q be (388/350 - 1368/17100)/(2/5). Determine b so that 8/7*b + 2/7*b**4 + q*b**2 + 0 + 12/7*b**3 = 0.
-4, -1, 0
Suppose 0 = 3*h + 14*h - 68. Factor -h*q**2 - 7*q**4 - 13*q**3 + 5*q**3 - 7*q**3 - 5*q**2 - q**5.
-q**2*(q + 1)*(q + 3)**2
Let v(x) be the first derivative of x**3/3 + 29*x**2/2 - 1313. Find o, given that v(o) = 0.
-29, 0
Let x(z) be the first derivative of z**4/4 - 141*z**3 - 117. Determine v, given that x(v) = 0.
0, 423
Let r(i) be the third derivative of 121*i**7/42 + 11*i**6/3 - 1073*i**5/12 - 165*i**4 - 120*i**3 + 13103*i**2. Suppose r(j) = 0. What is j?
-3, -4/11, 3
Factor -1/3 + 133/3*w**3 - 44/3*w**4 + 47/3*w - 45*w**2.
-(w - 1)**3*(44*w - 1)/3
Suppose 4*r = 4*k + 32, 53 = 2*r - 5*k + 22. Let y(o) be the second derivative of -9/10*o**5 - 6*o**r - 1/10*o**6 - 13/4*o**4 + 0 - 6*o**2 + 4*o. Factor y(m).
-3*(m + 1)**2*(m + 2)**2
Let v(x) be the third derivative of -x**5/390 + 29*x**4/52 - 170*x**3/39 - 66*x**2. Factor v(t).
-2*(t - 85)*(t - 2)/13
Let r(n) = -n**2 - 19*n - 66. Let y be r(-8). Determine u, given that 89 + 14*u**2 + 55*u**3 + 9*u**2 - 120*u - 69 + y*u**2 = 0.
-2, 2/11, 1
Let d be 50/(-20) + (-246)/(-84). Let z = -2456 - -2456. Factor 0*j**2 + z*j + 9/7*j**3 + 0 + d*j**4.
3*j**3*(j + 3)/7
Let f(b) be the first derivative of 0*b**2 + 0*b - 21 + 1/11*b**4 - 1/66*b**6 - 8/33*b**3 + 2/55*b**5. Suppose f(z) = 0. Calculate z.
-2, 0, 2
Factor 392/13*w**2 + 2738/13 + 2072/13*w.
2*(14*w + 37)**2/13
Let o(f) = -2*f**2 - 75*f - 20. Let r be o(-32). What is t in -5*t**4 + 115 + 104 + 113 + 45*t**3 - r - 40*t**2 = 0?
0, 1, 8
Let h(i) be the first derivative of 3*i**4/28 - 68*i**3/7 + 465*i**2/2 + 1050*i - 1262. Find f, given that h(f) = 0.
-2, 35
Suppose 4 = 2*y - 0. Factor 131*s**2 + 117*s**2 + 112*s**y - 44*s**2 + 28*s**3 + 88*s.
4*s*(s + 11)*(7*s + 2)
Suppose 9*y + 6*y = 26*y - 44. Let v(b) be the third derivative of -1/42*b**5 - 1/14*b**y + 0 + 0*b + 16*b**2 - 1/21*b**3. Factor v(x).
-2*(x + 1)*(5*x + 1)/7
Let j be (94/(-12))/((-3)/(-33)). Let i = 175/2 + j. Factor -8/3*o**2 - 4*o + 8/3*o**3 + 4/3*o**5 - i + 4*o**4.
4*(o - 1)*(o + 1)**4/3
Solve -32*y**2 + 0 - 193/2*y**3 - 3/2*y**4 + 0*y = 0 for y.
-64, -1/3, 0
Let f(q) be the first derivative of 5*q**6/3 - 24*q**5/5 + 2*q**4 + 20*q**3/3 - 9*q**2 + 4*q + 63. Factor f(l).
2*(l - 1)**3*(l + 1)*(5*l - 2)
Let p(c) be the second derivative of -13*c**7/210 + 7*c**6/30 - 17*c**5/60 + c**4/12 - 21*c**2/2 - 48*c. Let t(w) be the first derivative of p(w). Factor t(i).
-i*(i - 1)**2*(13*i - 2)
Let l(c) = -6*c**5 - 25*c**4 - 39*c**3 - 15*c**2 + 13*c + 12. Let f(b) = b**4 + 2*b + 3. Let z(q) = -2*f(q) + l(q). Determine j so that z(j) = 0.
-2, -1, 1/2
Let j = 105/62 + 56/31. Let k(v) be the first derivative of -3/4*v**4 - 14 + 7/3*v**3 + j*v**2 - 3*v. Determine f so that k(f) = 0.
-1, 1/3, 3
Let a be 2/(((-55)/10)/(-11)) - 334. Let b be (-6)/8*160/a. Factor -b*h**4 - 6/11*h**3 + 8/11*h**2 + 0 + 8/11*h + 2/11*h**5.
2*h*(h - 2)**2*(h + 1)**2/11
Let d(r) be the third derivative of r**6/40 + 19*r**5/5 - 39*r**4/2 - r**2 + 278*r. What is t in d(t) = 0?
-78, 0, 2
Let b(m) be the first derivative of 4*m**5/45 + 52*m**4/3 + 10816*m**3/9 + 281216*m**2/9 - 1069. Let b(l) = 0. What is l?
-52, 0
Suppose 46*c**3 + 62*c**2 - 102*c + 165*c - 2*c**4 - 107*c - 62*c**3 = 0. Calculate c.
-11, 0, 1, 2
Suppose 5*d - 80 = -5*i, 132 = 5*i - 5*d + 2. Suppose 343*p**3 - 3*p - 21 - 171*p**3 + i*p**2 - 169*p**3 = 0. Calculate p.
-7, -1, 1
Let d be ((-8)/1 - (4 - 9)) + 5. Let h(l) = -l**2 + l + 1. Let v(o) = 5*o**3 - 3*o**2 + 2*o + 2. Let g(f) = d*v(f) - 4*h(f). Suppose g(u) = 0. What is u?
0, 1/5
Let x(q) be the first derivative of 8*q**2 - 4/3*q**3 + 72 + 84*q. Solve x(m) = 0 for m.
-3, 7
Let r(m) be the second derivative of 58*m + 16*m**2 - 22/3*m**4 + 19/5*m**5 + 38/15*m**6 + 8/21*m**7 + 0 - 56/3*m**3. Let r(q) = 0. What is q?
-2, 1/4, 1
Let r(m) = -2*m**2 + m - 2. Let k(n) = 4*n**2 + 26*n + 2. Let x(t) = k(t) - r(t). Factor x(p).
(p + 4)*(6*p + 1)
Solve 2/5*g**2 + 212552/5 - 1304/5*g = 0.
326
Let l(o) be the third derivative of -o**8/20160 + o**7/2520 + o**6/240 + 11*o**5/12 - 60*o**2. Let g(m) be the third derivative of l(m). Factor g(y).
-(y - 3)*(y + 1)
Let g(m) = -31*m - 5. Let l be g(0). Let c be (6 + -11)*3/l. Find j, given that -j**c - 2/3 - j + 8/3*j**2 = 0.
-1/3, 1, 2
Let q(x) be the first derivative of -x**3 + 120*x**2 - 237*x - 93. Factor q(r).
-3*(r - 79)*(r - 1)
Suppose 16 = 3*u + 5*d, -4*d - 5 = d. Suppose 49*f - 168 = u*f. Find r, given that 1/4*r**3 + 1/2*r + 0 - 7/4*r**f - 3/4*r**5 + 7/4*r**2 = 0.
-2, -1, -1/3, 0, 1
Let k be ((3*1)/((-45)/60))/(-5 - 1). Let j(b) be the first derivative of -2/3*b**2 + 1/3*b**4 + 2/9*b**3 + 14 - k*b. Suppose j(z) = 0. What is z?
-1, -1/2, 1
Let v be 12 - 78/6 - (-44)/33. Let n = -18 + 21. Factor -1/6*c**n - 1/6*c - v*c**2 + 0.
-c*(c + 1)**2/6
Let f(l) be the first derivative of -3*l**4/20 + 3379*l**3/5 - 8568297*l**2/10 + 8558163*l/5 - 7843. Factor f(p).
-3*(p - 1689)**2*(p - 1)/5
Let w(r) be the second derivative of -r**6/180 - 2*r**5/15 - 29*r**4/72 - 7*r**3/18 - 214*r - 2. Factor w(h).
-h*(h + 1)**2*(h + 14)/6
Let a(n) be the first derivative of 4*n**5/15 + 3*n**4 - 4*n**3/9 - 6*n**2 - 1475. Factor a(h).
4*h*(h - 1)*(h + 1)*(h + 9)/3
Factor -15/2*k**4 - 16 + 54*k - 133/2*k**2 + 1/2*k**5 + 71/2*k**3.
(k - 8)*(k - 4)*(k - 1)**3/2
Let r(f) be the third derivative of -f**6/30 - 3*f**5/5 - 7*f**4/3 + 642*f**2. Factor r(c).
-4*c*(c + 2)*(c + 7)
Suppose -10*r + 15*r + 270 = -3*n, -r = -n - 82. Let y be (n/(-34) + -6)*(-4)/35. Determine c so that -4/5 - y*c**2 - 6/5*c = 0.
-2, -1
Let n(d) be the second derivative of -3/40*d**5 - 1/12*d**3 - 1/60*d**6 - 2 + 12*d + 0*d**2 - 1/8*d**4. Factor n(y).
-y*(y + 1)**3/2
Let p = -3 + 5. Suppose -34 = -45*i + 101. Factor -i*n**3 + 13*n**2 - 48*n - 6*n**2 - 16*n**2 - 15*n**p.
-3*n*(n + 4)**2
Let c be 10146/7 - (-11 + 21)/(-10). Let h = c - 1449. Find n such that 10/7*n**3 + 0 - 4/7*n**4 + 4/7*n**2 - h*n**5 + 0*n = 0.
-1, -2/5, 0, 1
Let x(g) = 6*g**4 + 50*g**3 + 5*g**2 + 15*g. Let o(f) = f**4 + 2*f**3 + f**2 + 3*f. Let n(q) = 20*o(q) - 4*x(q). Factor n(u).
-4*u**3*(u + 40)
Suppose 393132/7*u + 2172/7*u**2 + 23718964/7 + 4/7*u**3 = 0. Calculate u.
-181
Let y(n) be the third derivative of 1/900*n**6 + 0*n**3 - 2*n - 2/225*n**5 - 16*n**2 + 0 + 1/60*n**4. Determine c, given that y(c) = 0.
0, 1, 3
Let i(r) = -4*r**3 + 442*r**2 + 2534*r + 3740. Let g(a) = -16*a**3 + 1327*a**2 + 7603*a + 11218. Let f(n) = -2*g(n) + 7*i(n). Factor f(k).
4*(k + 3)**2*(k + 104)
Let z = 2314 - 2307. Let u be (470/658)/