ve of z**6/100 - 7*z**5/50 + 3*z**4/4 - 9*z**3/5 + 2*z**2 + 11*z. Solve d(a) = 0.
1, 3
Let h(u) = -u - 5. Let l be h(-5). Solve -4 + 5*s**2 - 10*s**3 + 13*s - 3*s + l - 1 = 0.
-1, 1/2, 1
Let b(a) be the second derivative of -a**8/3360 + a**6/240 + a**5/120 + a**3/3 - 9*a. Let p(q) be the second derivative of b(q). Factor p(g).
-g*(g - 2)*(g + 1)**2/2
Find w, given that -10/3*w - 2/3*w**3 + 16/3*w**2 - 100/3 = 0.
-2, 5
Find p such that -13*p**4 - 3*p**3 - 6*p**4 + 10*p**2 - 3*p**4 + 21*p**4 + 6*p**3 = 0.
-2, 0, 5
Let -52/19*n**3 - 496/19*n - 320/19 - 264/19*n**2 - 2/19*n**4 = 0. What is n?
-20, -2
Let v(w) be the second derivative of w**7/504 - w**5/24 - 7*w**4/12 - 7*w. Let a(d) be the third derivative of v(d). Solve a(p) = 0 for p.
-1, 1
Let u(n) be the first derivative of -2*n**3/63 + 44*n**2/21 - 8*n - 668. Solve u(d) = 0 for d.
2, 42
Suppose 17 = 9*d - 10. Suppose -p + 7 = d. Factor 4/11*s**2 - 2/11*s**3 - 2/11*s**p + 0 + 0*s.
-2*s**2*(s - 1)*(s + 2)/11
Let h be (21/(-2))/((-117)/(-12)). Let i = h - -69/52. Let -9/4 - i*j**2 + 3/2*j = 0. What is j?
3
Factor -12 + 127*f**2 - 37*f**2 - 41*f**2 + 8*f - 45*f**2.
4*(f - 1)*(f + 3)
Let v(f) = -3*f**4 + 12*f**3 + 19*f**2 - 44*f + 20. Let k(b) = 5*b**4 - 25*b**3 - 40*b**2 + 90*b - 40. Let n(r) = 2*k(r) + 5*v(r). Solve n(u) = 0.
-2, 1, 2
Let i = -13 - -16. Suppose 3*t + t = 0. Solve -k**3 - 5*k**2 + 6*k**2 + 0*k**3 + k - k**4 + t*k**i = 0.
-1, 0, 1
Let y(d) be the third derivative of d**5/20 + d**4/2 + 3*d**3/2 + 105*d**2. Factor y(v).
3*(v + 1)*(v + 3)
Let y(w) be the second derivative of -1/72*w**4 - 1/120*w**5 + 0 + 0*w**2 - 13*w + 1/180*w**6 + 1/36*w**3. Factor y(n).
n*(n - 1)**2*(n + 1)/6
Suppose -9 = 120*n - 123*n. Let t(o) be the first derivative of -2/3*o**n - o**2 + 0*o + 7. Factor t(y).
-2*y*(y + 1)
Let h be 27/84*(-98)/(-42). Factor 3/4*d**4 + 1/2*d - 2*d**3 + h*d**2 + 0.
d*(d - 2)*(d - 1)*(3*d + 1)/4
Let b = 62 - 59. Determine x, given that -2*x**3 + 2*x**2 + x + 3 - 5 + x**b = 0.
-1, 1, 2
Let f(l) be the third derivative of -l**6/120 + l**5/40 - 7*l**3/2 - 8*l**2. Let a(b) be the first derivative of f(b). Factor a(p).
-3*p*(p - 1)
Let k = 2167 + -6497/3. Factor -2/9*z**2 - k - 14/9*z.
-2*(z + 1)*(z + 6)/9
Let a = 1152 - 5756/5. Factor a - 6/5*r + 2/5*r**2.
2*(r - 2)*(r - 1)/5
Let c(j) be the first derivative of 0*j**4 + 0*j - 1/20*j**5 + 0*j**3 + 12 + 0*j**2. Factor c(y).
-y**4/4
Let n = 280 - 277. Let l(r) be the second derivative of 2/7*r**2 + 1/21*r**3 - 1/42*r**4 + 0 + n*r. Solve l(k) = 0 for k.
-1, 2
Suppose -24*g + 29*g - 40*g = 0. Determine s so that g*s**4 + 0 + 2/7*s**3 + 0*s + 0*s**2 - 2/7*s**5 = 0.
-1, 0, 1
Let m = 161 + -158. Let y(z) be the third derivative of -4/3*z**m + 0*z + 0 + 1/3*z**4 - 1/30*z**5 + 2*z**2. Factor y(k).
-2*(k - 2)**2
Suppose -5*g + 3 = -4*h - 7, 0 = 5*h - 3*g - 7. Let -4*y**2 + 1/4*y**h - 3/2*y**4 - 1/2 + 9/4*y + 7/2*y**3 = 0. Calculate y.
1, 2
Let p(i) = -4*i**3 - 2*i**2 + 10*i + 11. Let f be p(-1). Determine b so that b + 0 + 3/2*b**2 + 1/2*b**f = 0.
-2, -1, 0
Let p(g) = -21*g + 1. Let y be p(1). Let f be 1/2 - y/8. Factor r**3 - 16*r**2 - 4*r + 16*r**2 + f*r.
r*(r - 1)*(r + 1)
Let k = 146283/7 + -20897. Factor -5/7*x**2 - 1/7*x**4 + 2/7*x + k*x**3 + 0.
-x*(x - 2)*(x - 1)**2/7
Let a = -181333/24 + 7557. Let d(v) be the third derivative of -a*v**4 - 5/2*v**3 - 7*v**2 - 1/3*v**5 + 0 + 0*v. Suppose d(w) = 0. What is w?
-1, -3/4
Let h be 2/(-12)*3/(-2)*1. Let x = 0 + 1/2. Let -1/2*j**4 + 0*j**3 + x*j**2 + 0 + 1/4*j - h*j**5 = 0. What is j?
-1, 0, 1
Let f(l) be the third derivative of -1/448*l**8 - 1/20*l**5 - 1/70*l**7 + 0*l - 3/80*l**6 + 0 - 1/32*l**4 + 3*l**2 + 0*l**3. Factor f(w).
-3*w*(w + 1)**4/4
Let v(j) = -5*j**2 + 66*j - 833. Let m(d) = -d**2 + 2*d + 2. Let l(q) = -4*m(q) + v(q). Factor l(c).
-(c - 29)**2
Let m = 232 - 82. Suppose -3*p**2 + m*p - 144*p + p**2 = 0. Calculate p.
0, 3
Find c such that 18 - 25*c - 108 - 90*c**2 - 90*c**2 + 181*c**2 - 2*c = 0.
-3, 30
Let a be ((-584)/16 - -20)*(-4)/22. Let 8/15*o**2 + 2/15*o + 2/5*o**a + 0 = 0. What is o?
-1, -1/3, 0
Let w(c) be the first derivative of -4*c**3/3 + 12*c**2 - 32*c + 71. What is h in w(h) = 0?
2, 4
Suppose 2/3*j**2 - 8/3 + 2/3*j**3 - 8/3*j = 0. What is j?
-2, -1, 2
Let h be 4/18 + (-38720)/90. Let m = 646 + h. Let 2 + 382*v**3 + 50*v**3 + m*v**2 + 36*v + 0 + 0 = 0. Calculate v.
-1/6
Let k(a) be the third derivative of 3*a**7/35 - 13*a**6/12 + 113*a**5/30 - 67*a**4/12 + 10*a**3/3 + 221*a**2. Factor k(g).
2*(g - 5)*(g - 1)**2*(9*g - 2)
Let b(h) be the third derivative of -5*h**8/144 + 29*h**7/63 - 121*h**6/72 + 5*h**5/6 - 85*h**2. Determine n so that b(n) = 0.
0, 2/7, 3, 5
Let i be (4 - 6) + 9/6*10. Let r be 46/115 - i/(-5). Factor -2/3 + 1/6*c**r + 4/3*c - 5/6*c**2.
(c - 2)**2*(c - 1)/6
Let m(n) be the second derivative of -n**4/16 + 11*n**3/4 + 69*n**2/8 + 465*n. Factor m(l).
-3*(l - 23)*(l + 1)/4
Let q(f) be the second derivative of f**7/112 + 227*f**6/80 + 25989*f**5/80 + 227925*f**4/16 + 860625*f**3/16 + 1265625*f**2/16 + 238*f + 1. Factor q(u).
3*(u + 1)**2*(u + 75)**3/8
Suppose 104 = -36*z + 105*z - 34. Factor 0*l + 2/17*l**3 + 0 - 8/17*l**z.
2*l**2*(l - 4)/17
Let g(n) be the third derivative of -5*n**8/336 - 5*n**7/42 - n**6/8 + 5*n**5/12 + 5*n**4/6 - 244*n**2. Let g(j) = 0. Calculate j.
-4, -1, 0, 1
Suppose -22*s - 9*s = -124. Let n(k) be the first derivative of 4/15*k**3 + 7 + 0*k - 1/5*k**2 - 1/10*k**s. What is g in n(g) = 0?
0, 1
Let k(n) = 16*n**4 - 24*n**3 - 12*n - 10. Let h(o) = -5*o**4 + 8*o**3 - o**2 + 4*o + 3. Let x(t) = 10*h(t) + 3*k(t). Find w, given that x(w) = 0.
0, 1, 2
Let z be (-31)/(-14 + 12 - -1*1). Suppose -s + 3*n = 3*s + 3, 5*n - z = -2*s. Let 2/7*h - 2/7*h**5 - 4/7*h**2 + 0*h**s + 0 + 4/7*h**4 = 0. Calculate h.
-1, 0, 1
Let m(v) be the second derivative of -v**6/90 + v**4/12 + v**3/9 + v + 33. Factor m(j).
-j*(j - 2)*(j + 1)**2/3
Let f(g) = -g**2 + 11*g - 2. Let m be f(10). Suppose -b = 3*b - m. Factor -2*t**b + t - t - t**2.
-3*t**2
Let i(v) be the second derivative of v**6/1440 - v**5/160 - 5*v**3/3 - 16*v. Let c(m) be the second derivative of i(m). Factor c(s).
s*(s - 3)/4
Suppose 3*j + 21 = 3*i, i + 2*j - 28 = -3*i. Suppose 4*d - i - 9 = 0. Factor 2*v**2 + 2*v**2 - 4*v - d - v**2 - 4*v**2.
-(v + 2)**2
Let q(p) = -p - 1. Let i be q(5). Let k be (-40)/i + 8/(-12). Factor -22 - 7*u + k*u**3 + 31*u + 21*u**2 - 3*u**3 - 26.
3*(u - 1)*(u + 4)**2
Let f be 1827/(-81) - (0 + 2). Let m = f + 25. Determine c so that 1/9 + 1/9*c**4 + 2/3*c**2 - m*c - 4/9*c**3 = 0.
1
Suppose -z - 1 = v, 44*v = 4*z + 49*v + 5. Factor z*s**2 - 2/7*s**4 + 0*s**3 + 0*s + 0.
-2*s**4/7
Let s = 18817874/921 - 20432. Let x = s + 2749/6447. What is f in 0*f**2 - 6/7*f**3 + 3/7*f + x*f**5 + 0*f**4 + 0 = 0?
-1, 0, 1
Factor -12/5*l**2 - 3/5*l**3 - 3/5*l + 18/5.
-3*(l - 1)*(l + 2)*(l + 3)/5
Let o = 32 + -38. Let a(r) = -53*r**4 + 83*r**3 - 18*r**2 - 12*r. Let w(j) = -27*j**4 + 42*j**3 - 9*j**2 - 6*j. Let d(h) = o*a(h) + 11*w(h). Factor d(y).
3*y*(y - 1)**2*(7*y + 2)
Let n(t) be the first derivative of t**5/75 + t**4/15 + 3*t**2 - 15. Let d(s) be the second derivative of n(s). Suppose d(x) = 0. Calculate x.
-2, 0
Let c = -149 + 149. Let f(a) be the second derivative of 0*a**2 - 1/9*a**3 - 1/60*a**5 - a - 1/12*a**4 + c. Factor f(j).
-j*(j + 1)*(j + 2)/3
Let p(o) be the third derivative of -o**5/15 + 2*o**4/3 + 10*o**3/3 - 25*o**2 - 2*o. Factor p(s).
-4*(s - 5)*(s + 1)
Suppose -20*o = 16*o - 6*o. Let n(r) be the second derivative of -r + o*r**2 + 0*r**3 + 1/6*r**4 + 0. What is s in n(s) = 0?
0
Let n = 8 + -6. Let t = -1753 + 1755. Factor -n*v**2 + v + 3*v + v - t*v**3 - v.
-2*v*(v - 1)*(v + 2)
Let h(j) be the second derivative of 7*j + 1/21*j**3 + 0*j**2 + 0 - 1/42*j**4. Determine y, given that h(y) = 0.
0, 1
Let s(q) be the second derivative of q**7/630 + q**4/12 - 2*q. Let h(z) be the third derivative of s(z). Factor h(r).
4*r**2
Let g = 16 - 11. Let z = -3 + g. Solve -2*n - 3*n**3 + n - 3*n**z + n = 0 for n.
-1, 0
Let g = -2138 - -2138. Determine c so that -8/5*c**2 + 4*c**3 - 8/5*c**4 + 0*c + g = 0.
0, 1/2, 2
Suppose 2*h = 5 - 1. Suppose -w + 4 = 0, 4*w = 4*z + h*w. Factor z - 7 + 4*d - 18*d**2 + 5.
-2*d*(9*d - 2)
Let w(z) be the second derivative of -z**3/6 + 7*z**2/2 - 3*z. Let b be w(5).