+ 18*m + 33. Let k(g) = -s(g) + 6*w(g). Factor k(l).
-3*(l + 3)**2
Let d = 10/27 + -23/135. Let o(z) be the second derivative of -1/50*z**5 + 0 + 12*z - 2/5*z**2 + d*z**3 + 0*z**4. Find r, given that o(r) = 0.
-2, 1
Suppose 4*h**3 - 2/3*h**4 + 16/3*h**2 - 14/3 - 4*h = 0. What is h?
-1, 1, 7
Let j(f) be the first derivative of 11 - 4*f + 2/3*f**3 + f**2. Suppose j(k) = 0. What is k?
-2, 1
Let o(p) = -p**4 - 5*p**3 - 3*p**2 + p - 4. Let n(a) = a**3 + a**2 + 1. Let w be 1*(-4 + -2) + -2 + 4. Let x(g) = w*n(g) - o(g). Factor x(i).
i*(i - 1)*(i + 1)**2
Suppose -14/5*z**2 - 28/5 + 102/5*z = 0. Calculate z.
2/7, 7
Let r(p) be the first derivative of -3*p**6/10 - 16*p**5/25 + p**4/5 + 226. Factor r(o).
-o**3*(o + 2)*(9*o - 2)/5
Let h(y) = -7*y**3 - 2*y**2 + 81*y - 120. Let u(l) = -l**3 + l**2 + l + 1. Let o(m) = h(m) - 6*u(m). Solve o(s) = 0.
-14, 3
Let w = 38805 - 116413/3. Suppose 0 - w*i + 1/3*i**3 - i**4 + i**2 + 1/3*i**5 = 0. What is i?
-1, 0, 1, 2
Let a be -10*(-3)/30*4. Let k(m) be the first derivative of m**a + 8*m + 2/5*m**5 - 2*m**3 + 4 - 4*m**2. Factor k(v).
2*(v - 1)**2*(v + 2)**2
Let l be (1/3)/((24/(-112))/(-1)). Suppose -t - 3*t = 3*j - 27, -20 = -5*t - j. Find y, given that -2/9*y**5 + 2/9*y**t - l*y**2 + 2/3*y**4 + 8/9 + 0*y = 0.
-1, 1, 2
Let w be (-5)/(-3) - (-2)/6. Suppose -20*n + 0 = 32*n - 104. Factor -3*b**3 + w*b**n - 1/2*b + 2*b**4 + 0 - 1/2*b**5.
-b*(b - 1)**4/2
Suppose 5*k = -3*a + 51, 0 = -5*a - 2*k + 127 - 42. What is f in -7*f**3 + a*f + 9*f + 9*f**3 + 16*f**2 + 12 = 0?
-6, -1
Suppose u + 4*p = 2, -3*u + 95 = 4*p + 89. Let a(d) be the second derivative of 1/72*d**4 + 2/9*d**3 + 5*d + 0 + 4/3*d**u. Factor a(z).
(z + 4)**2/6
Let o(v) be the first derivative of -14*v**5 - 10*v**2 + 3*v**3 + 2*v**3 + 13*v**5 - 18 + 10*v**3 - 60*v. Determine n so that o(n) = 0.
-3, -1, 2
Factor -2/5*j**2 + 4*j + 0.
-2*j*(j - 10)/5
Let i(s) = 2*s**2 + 11*s - 3. Let h be i(-6). Suppose h*d = -d + 144. Suppose 32*n**4 + n**5 - 4*n**3 - d*n**4 + 4*n**2 + 3*n**5 = 0. Calculate n.
-1, 0, 1
Let s = 4922 + -24609/5. Solve 1/5*l**2 - s*l**5 + l**3 + 4/5 - 8/5*l - 1/5*l**4 = 0 for l.
-2, 1
Let p(k) be the second derivative of -2/5*k**5 + 7/12*k**4 + 4*k + 0 - 8/15*k**6 + 0*k**2 - 1/6*k**3. Solve p(i) = 0.
-1, 0, 1/4
Let t = -19046 + 19046. Factor 8/7*l**3 + 4/7*l + 2/7*l**4 + 10/7*l**2 + t.
2*l*(l + 1)**2*(l + 2)/7
Suppose 4*k + 122 = 162. Let q(v) = -3*v + 33. Let x be q(k). Factor 3/8*n**2 + 3/8*n - 3/8*n**x - 3/8.
-3*(n - 1)**2*(n + 1)/8
Let k(j) = -j**2 - 2*j + 4. Let v be k(0). Let d(l) be the third derivative of 0 + 5/18*l**v + 2/9*l**3 + 6*l**2 + 0*l + 1/20*l**5. Solve d(u) = 0.
-2, -2/9
Let k(n) be the second derivative of -6*n + 0*n**3 + 0*n**2 - 1/6*n**6 + 5/42*n**7 + 0 + 0*n**5 + 0*n**4. Suppose k(j) = 0. Calculate j.
0, 1
Let f = -93 - -98. Let n be 1 + f/(-10)*2. Factor 6/11*s + n - 2/11*s**2.
-2*s*(s - 3)/11
Let g = 1960/753 + 16/251. Let -10/3*v - 2/3*v**2 - g = 0. Calculate v.
-4, -1
Let p(k) be the first derivative of 33*k**3/2 + 101*k**2/4 + k - 153. Factor p(m).
(m + 1)*(99*m + 2)/2
Let x(v) = -10*v**4 - 44*v**3 - 63*v**2 - 37*v - 5. Let w(p) = -p**2 - p - 1. Let f(t) = -6*w(t) - 2*x(t). Solve f(j) = 0 for j.
-2, -1, -2/5
Solve -106/7*k**2 + 16/7 - 34/7*k**3 + 124/7*k = 0 for k.
-4, -2/17, 1
Let y(t) = 46*t - 10. Let x be y(-5). Let c be (-224)/x*12/7. Let 2/5*a**4 - c*a**3 + 12/5*a**2 + 2/5 - 8/5*a = 0. Calculate a.
1
Let u(a) be the first derivative of 9/4*a**4 - 13 + 0*a + 3/2*a**2 + 3/5*a**5 + 3*a**3. Factor u(s).
3*s*(s + 1)**3
Let o(u) be the third derivative of u**8/840 + 2*u**7/525 - 7*u**6/300 + 2*u**5/75 - 234*u**2. Let o(j) = 0. What is j?
-4, 0, 1
Let -32/11 + 2/11*p**2 + 0*p = 0. Calculate p.
-4, 4
Factor -180 - 5*t**3 + 114*t**2 + 29*t**2 - 80*t - 48*t**2.
-5*(t - 18)*(t - 2)*(t + 1)
Let z(r) be the third derivative of -r**8/28 - 8*r**7/105 + 4*r**6/15 + 2*r**5/5 - 5*r**4/6 - 4*r**3/3 + 257*r**2. Suppose z(s) = 0. What is s?
-2, -1, -1/3, 1
Let c(m) be the second derivative of -2/135*m**6 - 2/45*m**5 + 1/27*m**4 + 0 + 0*m**2 + 4/27*m**3 - 10*m. Factor c(q).
-4*q*(q - 1)*(q + 1)*(q + 2)/9
Let w = -855 - -1711/2. Let r(k) = -k + 8. Let j be r(8). Suppose -w*a - 1/2*a**2 + j = 0. What is a?
-1, 0
Let t(c) = 9*c**3 - 33*c**2 + 65*c - 36. Let s = -110 - -126. Let g(j) = -28*j**3 + 100*j**2 - 196*j + 108. Let p(m) = s*t(m) + 5*g(m). Factor p(o).
4*(o - 3)**2*(o - 1)
Let r(l) be the second derivative of -l**6/90 + l**5/3 - 25*l**4/6 - 3*l**3/2 - 2*l. Let y(t) be the second derivative of r(t). Factor y(f).
-4*(f - 5)**2
Let c be (-78)/(3/2 - 3). Factor -10*a**2 + 58*a**4 + a - 2*a**3 + 4 - c*a**4 + a.
2*(a - 1)**2*(a + 1)*(3*a + 2)
Suppose -15 - 7 = p - 4*i, 2*p + 5*i = 34. Suppose 6/5*n + 9/5 + 1/5*n**p = 0. Calculate n.
-3
Let m(p) be the first derivative of p**3/4 - 9*p**2/4 - 12*p - 125. Factor m(x).
3*(x - 8)*(x + 2)/4
Let b(q) be the second derivative of -q**7/420 - q**6/240 + q**5/60 + q**2 - 8*q. Let l(d) be the first derivative of b(d). Factor l(p).
-p**2*(p - 1)*(p + 2)/2
Let f = 2/4269 + 25592/46959. Find w, given that 2/11*w**3 + 0 + 4/11*w - f*w**2 = 0.
0, 1, 2
Let p(v) be the second derivative of -2*v**6/15 + v**5/5 - 3*v**4 - 10*v**3/3 - 24*v. Let x(a) = a**3 - a**2 - a. Let k(c) = p(c) - 20*x(c). Factor k(u).
-4*u**2*(u + 2)**2
Let f(g) be the first derivative of g**3/24 - 127*g**2/16 - 16*g + 488. Suppose f(b) = 0. Calculate b.
-1, 128
Let o(h) = -17*h**2 - 70*h - 5. Let t(w) = 4*w**2 - w + 1. Let p(g) = o(g) + 5*t(g). Suppose p(s) = 0. What is s?
0, 25
Factor -3*w**5 - 2064*w + 141*w**3 - 996*w - 270*w**2 - 234*w**2 + 708*w + 18*w**4.
-3*w*(w - 7)**2*(w + 4)**2
Let k(o) be the second derivative of 1/12*o**2 + 1/18*o**4 - 1/9*o**3 + 0 - 5*o. Let k(w) = 0. Calculate w.
1/2
Let g(z) be the third derivative of 0 + 1/15*z**5 + 1/60*z**6 + 0*z**4 + 0*z - z**2 + 0*z**3. Factor g(p).
2*p**2*(p + 2)
Suppose -5*i = 3*c - 17, -5*c - 3*i - 25 = -8*i. Let n = c + 17/15. Factor -n*k**2 - 4/15*k - 2/15.
-2*(k + 1)**2/15
Factor 21*c - 11*c**2 - 50 + 99*c**2 - 226*c - 9*c**3.
-(c - 5)**2*(9*c + 2)
Let h(l) = 250*l + 4002. Let f be h(-16). Factor 20 + 15/2*g**3 - 15*g - 55/2*g**f.
5*(g - 4)*(g + 1)*(3*g - 2)/2
Suppose -4*v = 2*n - 3*n + 18, -4*v = n - 2. Factor 25*i**2 + n*i - 16*i**4 + 5*i + 11*i**4 + 5*i**3.
-5*i*(i - 3)*(i + 1)**2
Let n = 0 + 1. Suppose 3*v - n = u, 0*v - 3 = u - 5*v. Factor 0 + u - o**2 - 6 + 5.
-(o - 1)*(o + 1)
Let r be 4785/(-9) + (-1 - 1). Let l = r + 539. Factor 20/3*h + 4/3*h**3 + 8/3 + l*h**2.
4*(h + 1)**2*(h + 2)/3
Let t = -14 - -59/4. Let k = t - -7/12. Factor 2/3*z**5 - k*z**2 - 10/3*z - 4/3 + 8/3*z**3 + 8/3*z**4.
2*(z - 1)*(z + 1)**3*(z + 2)/3
Suppose -4*b + 2*y - 38 = 0, 0 = 6*y - 4*y - 10. Let r be 3/12*(-12)/b. What is m in r - 9/7*m + 9/7*m**2 - 3/7*m**3 = 0?
1
Suppose 5*r + 275*h - 273*h - 608 = 0, 4*h = 16. Let -228*f**2 - 24 + 204*f**3 + 27/2*f**5 - 171/2*f**4 + r*f = 0. What is f?
2/3, 1, 2
Let q(w) = 2*w**2 + 3*w + 35. Let f be q(8). Determine t so that -980 - f*t + 73*t - 26*t - 5*t**2 = 0.
-14
Let n be (5 - (5 + 0))/(-1 + 3). Let -1 + o**3 + o**2 - 5 - o + n + 5*o**2 = 0. What is o?
-6, -1, 1
Factor 0 - 4*l**3 - 8/3*l - 6*l**2 - 2/3*l**4.
-2*l*(l + 1)**2*(l + 4)/3
Find d such that 2882/5*d**2 + 640 + 1248*d + 2/5*d**4 - 156/5*d**3 = 0.
-1, 40
Suppose 3*m - 26 = -17. Suppose b**3 + 4*b**2 - 8*b**2 + b**m = 0. What is b?
0, 2
Factor 19/5*w + 0 + 1/5*w**2.
w*(w + 19)/5
Let d(h) be the third derivative of 1/490*h**7 - 3/140*h**5 + 1/28*h**4 + 0*h**3 + 0 + 0*h**6 + 12*h**2 + 0*h. Let d(z) = 0. Calculate z.
-2, 0, 1
Let n(y) = -8*y - 37 - 19*y**4 + 21 + y**3 + 19*y**2 + 23. Let t(c) = -10*c**4 + 10*c**2 - 4*c + 4. Let g(r) = 4*n(r) - 7*t(r). Factor g(q).
-2*q*(q - 1)*(q + 1)*(3*q - 2)
Suppose 34 - 37 = -3*n. Let z be 34 + -32 + n/1. Factor 1/3 + i**2 - 1/3*i**z - i.
-(i - 1)**3/3
Let a = 93/28 + -18/7. Let j(c) be the first derivative of 0*c + 2*c**6 + a*c**4 + 0*c**3 + 0*c**2 + 3*c**5 + 4. Let j(h) = 0. Calculate h.
-1, -1/4, 0
Let a = -470 - -475. Let z(d) be the second derivative of 1/120*d**6 + 1/40*d**a + 0*d**3 + 0 - 2*d + 1/48*d**4 + 0*d**2. Solve z(k) = 0 for k.
-1, 0
Let u(p) = -9*p**2 + 12*p. Let s(r) be the first derivative of -r**4/4 - 8*r**3/3 + 13*r**2/2 + 36. Let o(h) = 3*s(