o in g(o) = 0?
-1, 0
Suppose -79*p + 12 = -81*p + 4*l, 5*p + 2*l = 18. Factor -g**p + 0 - 3/4*g**3 + g.
-g*(g + 2)*(3*g - 2)/4
Let p(r) be the third derivative of r**7/105 - 11*r**5/30 - 3*r**4/2 - 8*r**3/3 + 87*r**2 + 2*r. Suppose p(n) = 0. Calculate n.
-2, -1, 4
Let w(h) be the second derivative of -h**5/20 + 5*h**4/12 - 7*h**3/6 + 3*h**2/2 + 5*h + 104. Factor w(r).
-(r - 3)*(r - 1)**2
Let i be (4/(-56)*-8)/(180/42). Let c(o) be the first derivative of 0*o**3 + 1/3*o**4 - i*o**5 - 2/3*o**2 + 2/3*o - 1. Factor c(a).
-2*(a - 1)**3*(a + 1)/3
Let b = -9754/3 + 3252. Factor -2/3*x**2 + 1/3*x**3 - 1/3*x + b.
(x - 2)*(x - 1)*(x + 1)/3
Let c = -45 - -49. Find i, given that 8*i**3 + c*i**2 + 2*i - 4*i**4 - 5*i - 4*i - i = 0.
-1, 0, 1, 2
Let u(m) be the second derivative of -m**7/21 - 2*m**6/15 + m**4/3 + m**3/3 + 30*m. Find i, given that u(i) = 0.
-1, 0, 1
Let n(p) be the third derivative of p**7/420 + 7*p**6/40 + p**5 + 59*p**4/24 + 13*p**3/4 - 83*p**2 - 3. Suppose n(u) = 0. What is u?
-39, -1
Let s(j) be the first derivative of -j**3/9 - j**2/6 + 2*j/3 - 10. What is r in s(r) = 0?
-2, 1
Let d(i) be the first derivative of 33*i**5/25 - 21*i**4/4 + 39*i**3/5 - 51*i**2/10 + 6*i/5 + 2. Solve d(l) = 0.
2/11, 1
Let s be 22/70 - ((-148)/28 - -5). Let p(d) be the first derivative of s*d**5 + 0*d**3 + 1/4*d**6 + 0*d + 6 + 3/8*d**4 + 0*d**2. Suppose p(t) = 0. Calculate t.
-1, 0
Let d be 196/(-240)*-4 + (-3 - 0). Let x(z) be the third derivative of -d*z**6 + 1/6*z**3 + 0 - 1/10*z**5 + 16/105*z**7 - z**2 + 5/24*z**4 + 0*z. Factor x(i).
(i - 1)*(2*i - 1)*(4*i + 1)**2
Let g = 587/16 - 563/16. Suppose -3/2*p**4 + 9/2*p**2 + g*p**3 - 3/2*p - 3 = 0. Calculate p.
-1, 1, 2
Suppose 0 = -l + 3*l - 2. Let m be 1 + ((4 + -7)*l - -4). Factor q - 1/2*q**m - 1/2.
-(q - 1)**2/2
Let h(o) be the third derivative of o**7/420 - o**6/45 + o**5/15 - 7*o**3/3 - 12*o**2. Let t(q) be the first derivative of h(q). Let t(p) = 0. What is p?
0, 2
Determine y, given that -2/5*y**2 - 14/5 + 16/5*y = 0.
1, 7
Let g be 1575/2310 + (-1)/2. Let 2/11*p**4 - g*p**3 + 0 + 0*p**2 + 0*p = 0. Calculate p.
0, 1
Let l(j) be the third derivative of 0 - 1/30*j**5 + 1/21*j**7 + 0*j**3 + 13*j**2 + 0*j**4 - 1/56*j**8 + 0*j - 1/60*j**6. Determine b so that l(b) = 0.
-1/3, 0, 1
Let v(j) be the first derivative of -45 - 1/12*j**3 + 0*j**2 + 1/4*j. What is t in v(t) = 0?
-1, 1
Suppose 2*p + m = 3*m + 2, 4*p + 4*m = 44. Suppose 2*l - p + 0 = 0. Suppose l*h**3 + h**4 + 2*h - 2*h + h + 3*h**2 = 0. Calculate h.
-1, 0
Let r = -62 - -65. Let c(y) be the third derivative of 0*y**r + 0*y**4 - 1/8*y**6 - 6/35*y**7 + 4*y**2 + 0 + 0*y - 1/30*y**5 - 1/12*y**8. Factor c(j).
-j**2*(2*j + 1)**2*(7*j + 2)
Factor 23 - 56*j - 43 + 1 + 5*j**2 - 77 - 9*j**2.
-4*(j + 2)*(j + 12)
Let n(f) = -f**2 + 21*f - 18. Let h = 3 - -11. Let m be n(h). Factor -35*s**2 + 0 + 102*s**3 + m + 40*s - 97*s**3.
5*(s - 4)**2*(s + 1)
Let k(z) be the third derivative of z**7/1890 - 2*z**6/135 + 13*z**5/180 + z**4/54 - 26*z**3/27 - 115*z**2. Factor k(w).
(w - 13)*(w - 2)**2*(w + 1)/9
Factor -46 - 1/2*p**2 - 27/2*p.
-(p + 4)*(p + 23)/2
Let w(l) be the second derivative of -5*l**7/63 - 4*l**6/15 - 2*l**5/15 + 5*l**4/9 + l**3 + 2*l**2/3 + l + 22. Determine g, given that w(g) = 0.
-1, -2/5, 1
Let v(c) be the first derivative of c**5 - 45*c**4/4 + 40*c**3 - 40*c**2 - 347. Factor v(m).
5*m*(m - 4)**2*(m - 1)
Let u = -5802 + 5805. What is i in 0*i + 0*i**4 + 0 + 0*i**2 + 1/5*i**u - 1/5*i**5 = 0?
-1, 0, 1
Factor 12816*g + 378*g**2 + 74*g**2 + 178*g**2 + 15949*g - 8920*g + 5*g**3.
5*g*(g + 63)**2
Let j(x) = -x**4 + 2*x**3 - 9*x**2 - 2*x + 2. Let h(l) = 2*l**4 - 7*l**3 + 20*l**2 + 4*l - 5. Let n(m) = 4*h(m) + 10*j(m). Factor n(c).
-2*c*(c + 1)**2*(c + 2)
Let f = -855/8 - -4467/40. Factor -8/5*q**3 + 1/5*q**4 - f*q + 9/5 + 22/5*q**2.
(q - 3)**2*(q - 1)**2/5
Let a(p) = -137*p - 2. Let h be a(-1). Let g be 7/(273/h) + -3. Suppose 0 - 2/13*b**4 - g*b**3 - 6/13*b**2 - 2/13*b = 0. Calculate b.
-1, 0
Let f(t) be the first derivative of 2*t**5/25 - 2*t**3/5 + 2*t**2/5 - 28. Suppose f(w) = 0. What is w?
-2, 0, 1
Determine n, given that -18 - 5/2*n**2 - 46*n = 0.
-18, -2/5
Let a(p) = 3 + 4*p**2 - p**2 + 3*p - 3*p. Let j(k) = -2 + 1 - k**2 - k + 0. Let f(m) = 3*a(m) + 6*j(m). Factor f(u).
3*(u - 1)**2
Let s(f) be the first derivative of 2*f**3/21 + 176*f**2/7 - 354*f/7 + 875. Suppose s(x) = 0. Calculate x.
-177, 1
Let y(c) = 14*c**4 + 60*c**3 + 132*c**2 - 203*c - 3. Let w(i) = 25*i**4 + 120*i**3 + 265*i**2 - 405*i - 5. Let j(f) = 3*w(f) - 5*y(f). Factor j(o).
5*o*(o - 1)*(o + 5)*(o + 8)
Let q(k) be the third derivative of -k**8/336 + k**7/210 + k**6/40 - k**5/60 - k**4/12 + 92*k**2 + 2*k. Suppose q(i) = 0. Calculate i.
-1, 0, 1, 2
Let x(o) be the first derivative of 0*o + 1/9*o**3 - 1/3*o**2 - 16. Solve x(p) = 0 for p.
0, 2
Let -51*t**2 + 0*t**5 + 0*t**5 + 13*t**4 - t**5 + 52*t**3 + 2*t**2 - 87*t**3 = 0. What is t?
-1, 0, 7
Let f = 19319/5 + -57877/15. Factor 32 - f*s + 2/9*s**2.
2*(s - 12)**2/9
Let t = 140 + -138. Determine p, given that 14*p**t - 35*p**2 + 3*p - 3*p**5 + 6*p**4 + 15*p**2 + 0*p**5 = 0.
-1, 0, 1
Let x(y) be the first derivative of 12 - 1/2*y**2 + 0*y + 3/2*y**4 - 1/2*y**3 - 7/10*y**5. Factor x(l).
-l*(l - 1)**2*(7*l + 2)/2
Let p(j) be the second derivative of j**5/4 + 35*j**4/12 + 10*j**3/3 - 30*j**2 + 161*j. Find x, given that p(x) = 0.
-6, -2, 1
Let y(p) = -p**3 - 4*p**2 + 5*p - 4. Let c(z) = z**3 + 3*z**2 - 4*z + 3. Let v(m) = 4*c(m) + 3*y(m). Factor v(w).
w*(w - 1)*(w + 1)
Let j(l) = -6*l**2 - 7*l + 6. Let n(y) = y**2. Let w(v) = j(v) + 5*n(v). Let f be w(-7). Suppose f + t - 3*t**2 + t + t = 0. What is t?
-1, 2
Let n(t) be the third derivative of -2*t**5/3 + 19*t**4/6 + 4*t**3/3 + 94*t**2. Let n(s) = 0. Calculate s.
-1/10, 2
Let o be (-25)/(-4) - (-4)/(-16). Suppose -o + 2 = -2*z. Factor 0 + 1/4*y**z + 0*y.
y**2/4
Let c = 239 - 141. Solve o**5 + 4 + 4*o**3 - 100*o + 4*o**4 + c*o - 3*o**5 - 8*o**2 = 0 for o.
-1, 1, 2
Let o(d) be the second derivative of 0 - 1/7*d**3 + 0*d**2 + 9/140*d**5 + 8*d - 1/98*d**7 - 1/70*d**6 + 1/28*d**4. Suppose o(l) = 0. What is l?
-2, -1, 0, 1
Let i(w) = 2*w**5 - 4*w**4 - 16*w**3 + 20*w**2 + 14*w - 24. Let d(a) = a**3 - a**2 - a. Let o(j) = -8*d(j) + i(j). What is r in o(r) = 0?
-3, -1, 1, 4
Let t = 217 - 525. Let y be t/(-24) + (-10)/30. Factor -19*m**2 - 4 - 4*m**4 - y*m**3 - 14*m - 1/2*m**5.
-(m + 1)**2*(m + 2)**3/2
Let a(b) be the second derivative of 8*b + 105/2*b**4 - 49/4*b**5 + 20*b**2 - 50*b**3 + 0. Factor a(f).
-5*(f - 2)*(7*f - 2)**2
Suppose 5 = 2*y + 1. Suppose 0 = -46*u + 49*u - 6. Suppose -32 + 2*s**u + 32 + 2*s + y*s = 0. Calculate s.
-2, 0
Let n = 9 + 16. Let m = -14 + n. What is f in 19*f - m - 3*f + 3 - 8 - 4*f**2 = 0?
2
Let y(i) be the third derivative of -i**8/1176 - i**7/245 - i**6/140 - i**5/210 - 33*i**2. Suppose y(k) = 0. Calculate k.
-1, 0
Let g be -1 - (-29 + 7/7). Let c be (g/(-24))/3 + (-6)/(-12). Determine i so that 1/4*i - c - 1/8*i**2 = 0.
1
Let q(m) be the first derivative of 4*m**5 + 33*m**4 + 88*m**3 + 56*m**2 - 96*m - 34. Let q(u) = 0. What is u?
-3, -2, 2/5
Let u = 3/962 + 7675/6734. Let d be 2/8 - 123/(-84). What is h in -1/7*h**4 - 6/7*h**3 - d*h**2 - u*h + 0 = 0?
-2, 0
Let u(p) = -p**3 + 4*p**2 + 1. Let x be u(4). Let z be x/(2/4 - (2 - 2)). Let 8/5*l**z + 0 + 2/5*l = 0. Calculate l.
-1/4, 0
Determine l, given that 5*l**3 + 0*l + 7/6*l**4 + 4/3*l**2 + 0 = 0.
-4, -2/7, 0
Suppose x**2 - 2*x**2 - 2*x - 5*x**4 + 0*x**4 + 8*x**3 + 0*x**2 = 0. Calculate x.
-2/5, 0, 1
Let v(w) = -w**2 - w. Let c(j) be the third derivative of -j**5/30 - j**4/12 + 6*j**2. Let d(q) = 5*c(q) - 15*v(q). Factor d(r).
5*r*(r + 1)
Factor 3*u + 3*u**2 + 3/4*u**3 + 0.
3*u*(u + 2)**2/4
Let q be 3/4*(11/7 - 1). Let i = -17/105 + q. Factor -i*d - 2/15 - 2/15*d**2.
-2*(d + 1)**2/15
Let n be (-12)/(48/20) + 7. Let h(k) be the second derivative of 0*k**n + 0 - 1/21*k**4 + 0*k**3 + 12*k. Solve h(v) = 0.
0
Let m(d) be the first derivative of -9*d**5/10 + 15*d**4/4 - 9*d**3/2 + 3*d**2/2 - 149. What is f in m(f) = 0?
0, 1/3, 1, 2
Let a = -1429 - -5717/4. Factor a*w**2 - 3/4 - 1/2*w.
(w - 3)*(w + 1)/4
What is j in 5*j**2 - j**2 + 13 + 11 - 32*j + 4 = 0?
1, 7
Let n(q) = -50*q**3 + 50*q**2 + 925*q + 855. Let o(f) = 7*f**3 - 7*f**2