 + 1/4*i**2 = 0?
14
Factor -3*h**2 + 35 - 100*h + 79*h - 11.
-3*(h - 1)*(h + 8)
Let u(i) be the third derivative of i**7/21 + 5*i**6/24 + i**5/12 - 5*i**4/12 - 2*i**2 + 85. Factor u(f).
5*f*(f + 1)*(f + 2)*(2*f - 1)
Let n(y) be the third derivative of 0*y + 23*y**2 + 0*y**3 + 1/20*y**6 + 0 + 1/6*y**4 - 1/6*y**5. Solve n(v) = 0 for v.
0, 2/3, 1
Find z, given that 4/11*z + 0 + 2/11*z**2 = 0.
-2, 0
Solve -392/25*v - 16/5 + 8/25*v**4 - 46/25*v**3 - 12*v**2 = 0 for v.
-2, -1/4, 10
Let t(a) = 24*a**2 - 20*a - 16. Let f(g) = 0 + 6 - g**2 - 4 - g + 0*g. Let r(i) = -16*f(i) - t(i). Factor r(y).
-4*(y - 4)*(2*y - 1)
Let k(u) = -5*u - 1. Let q(f) = 6*f + 1. Let r(d) = 4*k(d) + 3*q(d). Let v be r(-2). Find l such that -2*l**2 - l**3 - v*l**2 - l**2 + 7*l**2 = 0.
0, 1
Let n(k) be the first derivative of 7/8*k**2 - 3/4*k - 21 - 1/24*k**6 - 3/8*k**4 + 1/4*k**5 - 1/6*k**3. Let n(v) = 0. What is v?
-1, 1, 3
Let k be 1 - (3 - 4) - (-224)/3. Let r = k + -76. Suppose 0 - 2/3*g**4 + 0*g**2 + 0*g - r*g**3 = 0. What is g?
-1, 0
Let 112/15*n**2 - 2/15*n**3 + 0 - 22/3*n = 0. Calculate n.
0, 1, 55
Let p(y) be the first derivative of -2*y**5/25 + 26*y**4/5 - 20*y**3 + 148*y**2/5 - 98*y/5 - 1099. Let p(n) = 0. Calculate n.
1, 49
Let t be ((-24)/28)/(2/(-28)). Factor 4*d**2 - 3*d + 4*d**3 + t*d**4 - 16*d**4 - d.
-4*d*(d - 1)**2*(d + 1)
Let g(z) be the third derivative of z**6/600 + 11*z**5/300 + z**4/3 + 8*z**3/5 - 18*z**2. Factor g(n).
(n + 3)*(n + 4)**2/5
Let r(a) be the first derivative of a**3/3 + a**2/2 - 1. Let o(b) = -b**2 + 5*b + 6. Suppose 44 + 16 = 20*p. Let l(v) = p*r(v) + o(v). Factor l(z).
2*(z + 1)*(z + 3)
Suppose 3*u - 20*l + 19*l - 1056 = 0, 363 = u - 4*l. Let k = u + -348. Find t such that -5/6*t**2 - 1/6*t + 0 - 2/3*t**k = 0.
-1, -1/4, 0
Let v(r) be the third derivative of r**8/336 - 2*r**7/35 + r**6/15 + 53*r**5/30 + 45*r**4/8 + 25*r**3/3 + 88*r**2 - 1. Factor v(i).
(i - 10)*(i - 5)*(i + 1)**3
Let w(j) = -4*j + 6. Let u be w(1). Determine z so that 13*z**2 + z**2 + z**u - 8*z**4 - 2 - 5*z**2 = 0.
-1, -1/2, 1/2, 1
Let n(a) be the first derivative of 0*a**3 + 2/15*a**5 + 1/3*a**4 - 2/3*a**2 - 5 - 2/3*a. Suppose n(u) = 0. Calculate u.
-1, 1
Let x(t) = 14*t**3 - 92*t**2 - 10*t + 12. Let v(y) = -13*y**3 + 91*y**2 + 10*y - 14. Let l(k) = 6*v(k) + 7*x(k). Determine w so that l(w) = 0.
-1/10, 0, 5
Let l = 4550 + -4528. Determine q, given that l*q**3 + 2/3 + 97/6*q**2 + 6*q**4 - 22/3*q = 0.
-2, 1/6
Let q(p) = 2*p**2 + p - 6. Let m be q(2). Find i such that -i**2 + 0*i - i**4 - 3*i + 2*i + i**3 + 2*i**m = 0.
-1, 0, 1
Factor 7/2*x**3 + 1 - 3/2*x - 3/2*x**4 - 3/2*x**2.
-(x - 1)**3*(3*x + 2)/2
Let g(y) = -81*y**3 - 8*y**2 - 9*y - 2. Let p be g(-1). Let n be (-20)/p*16/(-6). Factor 0 + n*m - m**2 + 1/3*m**3.
m*(m - 2)*(m - 1)/3
Suppose -15*v = -35*v + 80. Factor 0*o + 0 - 1/4*o**3 + 1/2*o**2 - 1/4*o**v.
-o**2*(o - 1)*(o + 2)/4
Let v(d) be the first derivative of 2*d**3 - 75*d**2/2 + 36*d - 219. Factor v(x).
3*(x - 12)*(2*x - 1)
Let i(l) = 4*l**3 - 2*l**2 + l + 3. Let u be i(-1). Let o be (2/u)/(-1 - (-24)/32). Factor 24*m**o + 20/3*m**3 + 36*m + 2/3*m**4 + 18.
2*(m + 1)*(m + 3)**3/3
Factor -144/5 - 2/5*b**2 + 44/5*b.
-2*(b - 18)*(b - 4)/5
Let d(k) = 28*k**2 - 72*k - 12. Let m(b) = 2*b**2 - b - 1. Let z(j) = -d(j) + 12*m(j). Determine f so that z(f) = 0.
0, 15
Factor 8*o - 36*o - 37*o**3 + 39*o**3 - 10*o**2.
2*o*(o - 7)*(o + 2)
Let m be (0 - 3/(-2))*63*(-108)/(-3402). Factor 1/4*g**m - 1/4*g**2 + 0*g + 0.
g**2*(g - 1)/4
Let d(l) be the first derivative of 49*l**6/30 - 21*l**5/5 + 5*l**4/2 - 2*l**3/3 + 11*l**2/2 + 17. Let k(n) be the second derivative of d(n). Factor k(f).
4*(f - 1)*(7*f - 1)**2
Let b(s) be the first derivative of 0*s + 0*s**2 - 11/3*s**3 + 0*s**5 - 1/8*s**4 + 1/480*s**6 + 5. Let c(g) be the third derivative of b(g). Factor c(r).
3*(r - 2)*(r + 2)/4
Let -267/8*h**3 + 0 - 25/4*h - 7/8*h**5 + 245/8*h**2 + 79/8*h**4 = 0. What is h?
0, 2/7, 1, 5
Let d(i) be the third derivative of i**6/90 + i**5/18 - i**4/9 - i**3/3 - 3*i**2 + 133. Find y such that d(y) = 0.
-3, -1/2, 1
Let o(a) be the third derivative of a**8/1120 - a**7/168 + a**6/60 - a**5/40 - 5*a**4/12 + 7*a**2. Let p(n) be the second derivative of o(n). Factor p(i).
3*(i - 1)**2*(2*i - 1)
Let v be (-6)/(-10) + 1287/(-45). Let i be -2 + (-72)/v - (-6)/14. Factor 3/2*a - a**3 + 3/2*a**2 - i.
-(a - 2)*(a + 1)*(2*a - 1)/2
Let v(r) be the third derivative of r**7/84 + r**6/48 - r**5/4 - 21*r**2 - 2*r. Factor v(a).
5*a**2*(a - 2)*(a + 3)/2
Let l be 2/(-10) + ((-1067)/(-110) - 9). Let h(b) be the second derivative of -l*b**2 - 5*b + 0 - 1/36*b**4 - 2/9*b**3. Factor h(t).
-(t + 1)*(t + 3)/3
Suppose -d = -4*d. Let l = -611 + 623. Factor -2*s + 7 + 6*s**5 - 8*s**4 + l*s**2 + d*s - 9 - 2*s**4 - 4*s**3.
2*(s - 1)**3*(s + 1)*(3*s + 1)
Let o = -29 + 28. Let q be (((-20)/54)/(-5))/(o/(-3)). Factor 0*b - q*b**5 - 2/3*b**3 - 2/9*b**2 + 0 - 2/3*b**4.
-2*b**2*(b + 1)**3/9
What is a in -1/4*a**3 - 360*a + 800 - 39/2*a**2 = 0?
-40, 2
Let c(h) = 20*h**2 + 101*h - 7. Let j(i) = -11*i**2 - 50*i + 4. Let s(a) = 4*c(a) + 7*j(a). Factor s(w).
3*w*(w + 18)
Factor -3/4*l**2 - 33/2*l - 363/4.
-3*(l + 11)**2/4
Let i(r) be the first derivative of -r**4/18 - 10*r**3/27 - 2*r**2/9 + 16*r/9 - 43. Factor i(b).
-2*(b - 1)*(b + 2)*(b + 4)/9
Determine t so that -28/9 - 50/9*t**2 + 4/9*t**3 - 82/9*t = 0.
-1, -1/2, 14
Let c(a) be the third derivative of -a**6/540 - 37*a**5/135 - 73*a**4/108 + 472*a**2. Solve c(y) = 0 for y.
-73, -1, 0
What is n in 3*n**5 + 171*n**4 - 85*n**3 - 176*n**4 - 280*n + 38 + 10 + 2*n**5 + 52 + 265*n**2 = 0?
-5, 1, 2
Let m(k) be the first derivative of 1/4*k**4 - 2/3*k**3 + 0*k + 0*k**2 - 4 - 1/6*k**6 + 2/5*k**5. Factor m(r).
-r**2*(r - 2)*(r - 1)*(r + 1)
Let g be (-5 + 7)/1*(0 + 6). Let q be ((-8)/(-16))/(g/16). What is i in 2/3*i**2 - q*i - 2/3 + 2/3*i**3 = 0?
-1, 1
Let i(g) be the second derivative of 7*g**4/3 - 8*g**3 + 71*g. Factor i(s).
4*s*(7*s - 12)
Let h(j) be the first derivative of 0*j - 10 + 0*j**4 - 1/18*j**6 + 1/6*j**2 + 2/15*j**5 - 2/9*j**3. Factor h(c).
-c*(c - 1)**3*(c + 1)/3
Let v(x) be the third derivative of -x**7/105 + 4*x**6/15 + 7*x**5/6 + 3*x**4/2 - 562*x**2. Suppose v(s) = 0. Calculate s.
-1, 0, 18
Let u be 80/(-12 - -28) - -4*2/(-4). Factor 1 + 1/5*d - d**2 - 1/5*d**u.
-(d - 1)*(d + 1)*(d + 5)/5
Let l(f) = -3*f + 21. Let q be l(7). Factor 3*y - 2*y**2 - 102*y**3 + 101*y**3 + q*y**2.
-y*(y - 1)*(y + 3)
Let c = -49/410 - -9/41. Let n(b) be the third derivative of 1/20*b**6 + 0*b**3 + c*b**5 + 0 - 7*b**2 + 1/105*b**7 + 1/12*b**4 + 0*b. Factor n(p).
2*p*(p + 1)**3
Let k be 7/1*(-28)/(-49). Find v, given that -2 - k*v + 4*v**3 - 2 + 4 = 0.
-1, 0, 1
Let w be 1*(-12)/48*0. Factor 0*t + w*t**3 + 0 + 1/4*t**4 - 1/4*t**2.
t**2*(t - 1)*(t + 1)/4
Let z(b) be the third derivative of b**6/40 + b**5/2 - 23*b**4/8 + 6*b**3 - 9*b**2 + b. Factor z(c).
3*(c - 1)**2*(c + 12)
Let z(a) be the first derivative of a**6/6 - a**5 + 9*a**4/4 - 7*a**3/3 + a**2 - 268. Find s, given that z(s) = 0.
0, 1, 2
Let c(o) = -3*o**4 - 3*o**3 - o**2 - 15*o - 9. Suppose -6*y = -y + 75. Let m(z) = -z**4 - z**3 - z**2 - 7*z - 4. Let r(b) = y*m(b) + 6*c(b). Solve r(h) = 0.
-1, 2
Suppose 21*c - 16*c - 480 = 0. Let x = c - 283/3. Factor 0 + 0*y - x*y**3 - 1/3*y**2 - 7/3*y**4 - y**5.
-y**2*(y + 1)**2*(3*y + 1)/3
Let r(c) be the first derivative of 18 + 1/9*c**3 + 1/3*c**2 + 0*c. Factor r(s).
s*(s + 2)/3
Suppose -f + 4*f = -54. Let h be ((-5)/(-15)*-1)/(10/f). Find t, given that -1/5*t**5 + 1/5*t**2 - 1/5*t**4 + 0 + h*t**3 - 2/5*t = 0.
-2, -1, 0, 1
Let u(c) be the third derivative of 0*c + 0 - 1/270*c**5 - 9*c**2 + 0*c**3 + 0*c**4. Suppose u(i) = 0. What is i?
0
Determine y, given that -422/7*y - 4/7 + 1752/7*y**2 = 0.
-2/219, 1/4
Let f(c) = 15*c**3 - 165*c**2 - 191*c. Let n(g) = 3*g**3 - 33*g**2 - 38*g. Let h(o) = 2*f(o) - 11*n(o). Factor h(v).
-3*v*(v - 12)*(v + 1)
Let k(a) be the first derivative of 0*a - 2/9*a**3 - 21 + 5/3*a**2. Let k(x) = 0. Calculate x.
0, 5
Let h = 975 - 972. Factor 1 + 1/4*a**h - 1/4*a**2 - a.
(a - 2)*(a - 1)*(a + 2)/4
Let v(i) be the first derivative of 5*i**6/6 + 7*i**5 - 200*i**3/3 - 40*i**2 + 240*i - 182. Suppose v(j) = 0. What is j?
-6, -2, 1, 2
Factor -757*d + 265*d + 30*d**2 - 40856 - 62*d**2 + 10598