 o(h) be the first derivative of -5/72*h**4 - 1/9*h**3 + 11 + 6*h**2 + 0*h + 1/60*h**5. Let t(m) be the second derivative of o(m). Let t(p) = 0. Calculate p.
-1/3, 2
Let z(f) be the third derivative of -1/10*f**6 + 0*f + 0 - 4/9*f**4 + 11/30*f**5 + 0*f**3 + 1/315*f**7 - 36*f**2. Let z(b) = 0. Calculate b.
0, 1, 16
Let x = -344 + 362. Factor -42*g**2 + 15 - 3*g**3 - x*g + 67*g**2 - 26*g + 1 - 12*g.
-(g - 4)**2*(3*g - 1)
Let w(t) be the second derivative of -t**4/24 + 25*t**3/4 + 425*t**2/2 + 119*t - 17. Factor w(s).
-(s - 85)*(s + 10)/2
Let a be (2 - -8) + 0 + 0. Factor 25*i**3 - 39676*i**4 + 39681*i**4 + a + 6*i**2 + 35*i + 39*i**2.
5*(i + 1)**3*(i + 2)
Find n such that 121*n + 1/4*n**2 + 14641 = 0.
-242
Solve 1402*f - 6*f**2 + 1282*f - 2424*f + 2*f**4 - 88*f**3 + 176 = 0 for f.
-1, 2, 44
Let r(p) be the second derivative of 0*p**2 + p - 19/6*p**4 - 3/4*p**5 - 4*p**3 - 2 - 1/30*p**6. Factor r(m).
-m*(m + 1)*(m + 2)*(m + 12)
Suppose -42035 = -114*v - 79*v - 41649. Factor 0 - 1/7*c**3 + 0*c + 15/7*c**v.
-c**2*(c - 15)/7
Let a = 149950 + -149950. Factor 1/2*s - 19/4*s**2 + a - 21/4*s**3.
-s*(s + 1)*(21*s - 2)/4
Let w(l) = l**3 - 3*l**2 + 5*l - 5. Let x be w(2). Let n be x*-3*6/(-9). What is h in -h**2 + 12*h - h**2 - 9*h**3 - 3*h**5 + 12*h**4 - 10*h**n = 0?
-1, 0, 1, 2
Let c be -2 - -5 - 9/3. Suppose 146*d - 136*d - 20 = c. Find q, given that 0*q - 75/8*q**d - 27/8*q**4 + 45/4*q**3 + 3/2 = 0.
-1/3, 2/3, 1, 2
Let w(r) = 478*r**2 - 194*r + 384. Let o(v) = 40*v**2 - v + 1. Let l(k) = -12*o(k) + w(k). Determine x, given that l(x) = 0.
-93, 2
Let n = -136 - -154. Factor -35*r**2 + 165*r + 23*r - n*r + 25.
-5*(r - 5)*(7*r + 1)
Let n be (-60)/24*(-42)/5. What is g in g**2 - 83*g - 5*g**3 + n*g**2 + 50 + 148*g - 12*g**2 = 0?
-2, -1, 5
Let a(r) be the third derivative of r**6/420 - 41*r**5/210 + 61*r**4/12 - 63*r**3 - 1586*r**2. Factor a(b).
2*(b - 27)*(b - 7)**2/7
Let r(q) be the first derivative of q**6/2 - 53*q**5/5 - 23*q**4/4 + 89*q**3/3 + 10*q**2 - 36*q - 1367. Find i such that r(i) = 0.
-1, 2/3, 1, 18
Let b = 95 + -92. Suppose 4*h + 0*h = 5*f - 10, 2*f - b*h = 4. Factor 3*c + 2*c**2 + 12*c - 26*c**f + 12*c**2 - 3*c**3.
-3*c*(c - 1)*(c + 5)
Let o(j) be the third derivative of j**5/25 - 17*j**4/6 - 116*j**3/15 + 584*j**2. Let o(n) = 0. What is n?
-2/3, 29
Let z(t) be the first derivative of -1/3*t**6 - t**4 - 6/5*t**5 + 3*t**2 + 52 + 4/3*t**3 + 2*t. Factor z(l).
-2*(l - 1)*(l + 1)**4
Let f be -5 + -1*52722/(-3366) - ((-12)/(-102))/1. Solve 78/11*b**3 + 56/11*b + 0 + f*b**2 + 1/11*b**5 + 19/11*b**4 = 0.
-14, -2, -1, 0
Let q(b) be the second derivative of b**7/840 + b**6/180 - b**5/120 - b**4/12 - 65*b**3/6 - 10*b - 2. Let k(i) be the second derivative of q(i). Solve k(j) = 0.
-2, -1, 1
Let z(i) = i**4 - i**2 - 6*i. Let p(y) = 5*y**4 + 7*y**3 - 21*y**2 - 23*y - 4. Let f(o) = -p(o) + 6*z(o). Solve f(v) = 0.
1, 4
Let f(x) be the second derivative of -2/5*x**2 - 1 - x**3 + 17/30*x**4 + 2*x. Factor f(d).
2*(d - 1)*(17*d + 2)/5
Let t(w) be the first derivative of -w**6/66 + w**5/55 + w**4/11 - 4*w**3/33 - 1458. Let t(p) = 0. Calculate p.
-2, 0, 1, 2
Let h(s) be the third derivative of 0 + 0*s**3 - 2/21*s**7 - 35/12*s**4 - 65/12*s**5 - 37/24*s**6 - 36*s**2 + 0*s. Factor h(y).
-5*y*(y + 2)*(y + 7)*(4*y + 1)
Let m(p) be the first derivative of 7*p**4/8 - 43*p**3/4 + 9*p**2/2 + 139*p + 148. Let y(k) be the first derivative of m(k). Solve y(w) = 0 for w.
1/7, 6
Factor 1/2*k - 1/6*k**4 + 1/3 - 1/6*k**2 - 1/2*k**3.
-(k - 1)*(k + 1)**2*(k + 2)/6
Suppose 15/4 + 23/4*i + 9/4*i**2 + 1/4*i**3 = 0. Calculate i.
-5, -3, -1
Let q = -5218178/5 + 1043636. Factor -q*u**3 + 14/5*u + 12/5 + 0*u**2.
-2*(u - 3)*(u + 1)*(u + 2)/5
Let w(f) be the third derivative of f**5/12 + 95*f**4/12 - 487*f**2. Factor w(x).
5*x*(x + 38)
Let h(w) = -2*w**4 - 7*w**3 - 10*w**2 - 5. Let y(n) = n**4 - n**3 - n**2 + 1. Let x be 8 + 78/(-10) - (-8)/10. Let z(v) = x*h(v) + 5*y(v). Factor z(u).
3*u**2*(u - 5)*(u + 1)
Let j(z) be the second derivative of -z**7/27 + 8*z**6/9 - 319*z**5/90 + 23*z**4/9 + 236*z**3/27 - 56*z**2/3 - 5580*z. Let j(h) = 0. Calculate h.
-6/7, 1, 2, 14
Suppose -a = 4 - 8. Suppose -a*h + 19 = -17. Factor 2*z - 12 + 8*z - z**2 - h - 4.
-(z - 5)**2
Let -4/3*u**4 - 44*u**2 - 140/3*u**3 + 136/3 + 140/3*u = 0. What is u?
-34, -1, 1
Let r be (2/(-20))/(18/(-720)). Let o(v) be the first derivative of 8*v**2 + 12 - r*v**4 - 4/5*v**5 + 16*v - 4*v**3. Factor o(l).
-4*(l - 1)*(l + 1)*(l + 2)**2
Let a(q) be the first derivative of q**3/7 + 207*q**2/7 + 14283*q/7 - 2619. Suppose a(j) = 0. Calculate j.
-69
Let q(b) be the third derivative of b**8/1848 + 4*b**7/385 + 7*b**6/220 + b**5/33 + 2*b**2 + 453. What is l in q(l) = 0?
-10, -1, 0
Let u(z) = -16*z**2 - 10*z - 9. Let c be u(-3). Let b = 127 + c. Factor -28*r**2 + b*r**4 + r**4 - r**4 + 24*r.
4*r*(r - 2)*(r - 1)*(r + 3)
Let n be -1 + -4 - (-803)/2628. Let g = 5/9 - n. Suppose 3 - g*h**3 + 69/4*h**2 - 15*h = 0. What is h?
2/7, 1, 2
Let a = 193484 + -193479. Factor -4/3*y + a*y**3 + 0 - 11/3*y**2.
y*(y - 1)*(15*y + 4)/3
Let g(i) be the first derivative of i**6/3 - 82*i**5/5 - 177*i**4/2 - 90*i**3 + 4203. What is a in g(a) = 0?
-3, -1, 0, 45
Suppose 4*v + 59 = f - 6*f, 0 = -5*v + 2*f - 49. Let w = -8 - v. Suppose y - w*y**2 + 0*y - y = 0. What is y?
0
Let q be 714/21*(-2)/(-4). Suppose q = 2*m - 13. Suppose -25*k + m + 2 + 3 + 0*k + 5*k**2 = 0. What is k?
1, 4
Let h(q) = 1446*q + 4341. Let c be h(-3). Find j such that 0*j + 3/5*j**c + 0 + 0*j**2 = 0.
0
Let d(g) = -8*g**2 + 12849*g - 5107247. Let u(j) = 2*j**2 - 3211*j + 1276811. Let t(b) = 6*d(b) + 26*u(b). Factor t(v).
4*(v - 799)**2
Let i = 13975097/2942124 - 2/735531. Let i*z + 21/2 - 1/4*z**2 = 0. Calculate z.
-2, 21
Let c(v) be the first derivative of v**5/150 + 9*v**4/10 + 243*v**3/5 - 21*v**2/2 - 2*v - 39. Let m(f) be the second derivative of c(f). Factor m(w).
2*(w + 27)**2/5
Let p(j) be the second derivative of j**5/12 + 5*j**4/3 + 40*j**3/3 + 70*j**2 + 116*j. Let x(i) be the first derivative of p(i). Let x(r) = 0. What is r?
-4
Let x(l) be the third derivative of l**7/42 + 29*l**6/24 + 89*l**5/12 - 1345*l**4/24 + 125*l**3 + l**2 + 4332*l. Factor x(r).
5*(r - 1)**2*(r + 6)*(r + 25)
Suppose 0 = 2*q - 4*m - 44, -11*m + 9*m + 94 = 28*q. Let 0*a**2 + 0*a + 0 - 6/5*a**3 - 2/5*a**q = 0. Calculate a.
-3, 0
Let p = -261 + 265. Factor 5*f**5 - 148*f**2 - 32*f**2 - 47*f**p + 82*f**4.
5*f**2*(f - 2)*(f + 3)*(f + 6)
Let d(y) be the third derivative of y**5/45 - 121*y**4/18 - 2632*y**2. Factor d(i).
4*i*(i - 121)/3
Suppose 0 - 2 + 2 = -274*g. Let x(f) be the first derivative of 3/8*f**4 + g*f**5 + 0*f**2 + 0*f + 25 - 1/12*f**6 + 1/3*f**3. Let x(w) = 0. What is w?
-1, 0, 2
Let i = -61 - -62. Let t be ((-6)/(-5))/(i + 0 + 2). Factor t*y**3 - 4/5*y**2 + 4/5 - 2/5*y.
2*(y - 2)*(y - 1)*(y + 1)/5
Let v(c) be the first derivative of -1/7*c**3 - 9/7*c - 58 + 6/7*c**2. Factor v(k).
-3*(k - 3)*(k - 1)/7
Find m, given that -144*m**2 + 284*m - 187 - 122 + 131 + 4*m**3 + 72*m**2 - 134 = 0.
2, 3, 13
Suppose -36/7*n**2 - 6/7*n**3 + 3/7*n**4 + 120/7*n - 96/7 = 0. Calculate n.
-4, 2
Let o be (-1 + 4)/((-42)/(-392)). Suppose 4*a + 4*r = -8, 5*r + o = -3*a + 7*a. Factor 106*s**4 + 0*s + 5*s**a + 0*s - 111*s**4.
-5*s**2*(s - 1)*(s + 1)
Let g(l) = 487*l**2 + 437*l + 643. Let s(v) = -333*v**2 - 438*v - 642. Let b(w) = 2*g(w) + 3*s(w). Factor b(t).
-5*(t + 16)*(5*t + 8)
Suppose -p + 3*s = 20 - 17, -p - s = -5. Let z(x) be the first derivative of 52/3*x**p + 48*x**2 - 8 + 36*x + 2*x**4. Suppose z(u) = 0. Calculate u.
-3, -1/2
Suppose -3*y + 2*z + 33 = 0, 0*y + 2*y - z = 23. Factor -26*c**2 - 15*c**2 + y*c**2 - 5*c**3 + c**3 - 48*c.
-4*c*(c + 3)*(c + 4)
Let i(r) be the third derivative of 441*r**8/32 + 553*r**7/20 + 6811*r**6/720 - 27*r**5/40 + r**4/72 + 143*r**2 + 2*r + 4. Let i(m) = 0. Calculate m.
-1, -2/7, 0, 1/63
Let x = 116029 - 116019. Let x*l**2 + 8 - 96/5*l + 6/5*l**3 = 0. What is l?
-10, 2/3, 1
Let r(x) = -x**2 + 30*x + 49953. Let b be r(239). Let -4704*y - 1/2*y**3 - 87808 - 84*y**b = 0. Calculate y.
-56
Let h be 760/100*10 - -24. Let k(n) be the second derivative of -360*n**2 - 1/4*n**5 + 115/12*n**4 - n - 2 - h*n**3. Factor k(x).
-5*(x - 12)**2*(x + 1)
Let z(u) be the third derivative of -74*u**2 - 1/2*u*