 is y in w*y + 23*y**2 + 25 - 24*y**2 - 3*y = 0?
-5, 5
Let v be 8 - -19 - (-1 + -2). Determine n, given that 5*n + 11 + 39 + v*n + 5*n**2 = 0.
-5, -2
Suppose 3*h = -0*h - 0*h. Let g(z) = -10*z + 3. Let l be g(h). Factor -1 - 22*n + 37*n + n**2 - 17*n + 3*n**3 - n**l.
(n - 1)*(n + 1)*(2*n + 1)
Let h(k) be the third derivative of -k**5/60 + 25*k**4/6 + 208*k**3/3 + 3290*k**2. Factor h(y).
-(y - 104)*(y + 4)
Let u(d) = -2*d**3 + 1. Let i(v) = -274*v**3 - 211*v**3 + 125*v - 31 + 542*v**3 + 210*v**2. Let p(h) = i(h) + u(h). Let p(o) = 0. Calculate o.
-3, -1, 2/11
Let v = -12697 + 11376513/896. Let k(d) be the third derivative of 0*d**6 + 0 + 0*d + v*d**8 - 25*d**2 + 0*d**3 + 0*d**5 + 1/560*d**7 + 0*d**4. Factor k(t).
3*t**4*(t + 1)/8
Find m, given that 2*m**4 + 792/7 + 122/7*m**3 - 600/7*m - 326/7*m**2 - 2/7*m**5 = 0.
-6, -2, 1, 3, 11
Let n(v) be the first derivative of 9/4*v**4 - 6/5*v**5 - 1/2*v**6 + 17 + 6*v**2 + 0*v + 8*v**3. Let n(z) = 0. What is z?
-2, -1, 0, 2
Let n(x) be the first derivative of x**6/15 - 54*x**5/25 + 67*x**4/10 + 82*x**3/5 - 68*x**2/5 - 192*x/5 + 1251. Determine m, given that n(m) = 0.
-1, 1, 4, 24
Let s(m) = 4*m**2 + 21*m - 8. Let z be s(-10). What is x in -3*x**3 + 36*x + 0*x**3 + 222*x**2 - z*x**2 + 5*x**3 + 2*x**3 = 0?
-9, -1, 0
Let n be (-11)/22 + ((-59)/(-6) - (3 - -5)). Let 7/3*c**3 + n*c - 10*c**2 + 40/3 + 1/3*c**4 = 0. What is c?
-10, -1, 2
Let b be (-1 - (-8)/(-2))*1 + 7. Find m such that 1 - 7*m + 11 - 2 - 2479*m**b + 2480*m**2 = 0.
2, 5
Let n(o) be the third derivative of -o**8/1680 + 31*o**7/1050 + 33*o**6/200 + 101*o**5/300 + 17*o**4/60 - 4035*o**2. Let n(i) = 0. What is i?
-1, 0, 34
Let y(s) be the third derivative of 200*s**7/7 + 1245*s**6/2 + 2187*s**5/4 + 6507*s**4/32 + 81*s**3/2 - 2160*s**2. Factor y(l).
3*(l + 12)*(20*l + 3)**3/4
Determine b, given that -33*b**2 + 36*b + 3*b**3 + 169*b**5 - 12 + 1651*b**4 - 172*b**5 - 1642*b**4 = 0.
-2, 1, 2
Let c(s) = 5*s - 7. Let v = 32 - 30. Let j be c(v). Factor -4*h**j - h**3 + 82*h - 5*h**4 - 82*h.
-5*h**3*(h + 1)
Factor -3107*a**3 + 109*a**2 - 4 + 1561*a**3 - 8*a + 1494*a**3.
-(a - 2)*(4*a - 1)*(13*a + 2)
Let r(j) be the first derivative of -20*j - 23/4*j**4 - 40 - 61/2*j**2 - 1/5*j**5 - 21*j**3. What is k in r(k) = 0?
-20, -1
Let p(k) be the second derivative of 13*k**4/36 - 19*k**3/18 + k**2 + 3221*k. Suppose p(r) = 0. Calculate r.
6/13, 1
Let t(n) be the first derivative of -4*n**5/25 + 23*n**4/20 - 26*n**3/15 - 4*n**2/5 - 337. Let t(x) = 0. What is x?
-1/4, 0, 2, 4
Let j(n) be the first derivative of 2/3*n**3 - 34 + 0*n**2 + 0*n. Suppose j(z) = 0. What is z?
0
Let w(f) be the second derivative of 1/2*f**3 + 70*f + 0 - 1/4*f**4 + 1/10*f**6 - 3/20*f**5 + 0*f**2. Factor w(o).
3*o*(o - 1)**2*(o + 1)
Factor -34*l**2 - 7 + 131 + 8*l**2 + 25*l**2 - 52*l - 800.
-(l + 26)**2
Factor -49*x**3 + 13*x**2 + x**5 + 53*x**2 + 50*x**4 - 44*x**4.
x**2*(x - 3)*(x - 2)*(x + 11)
Let t(s) = s**2 + 1664*s - 648025. Let m(o) = -o**2 - 27*o. Let d(f) = -6*m(f) - 3*t(f). Let d(x) = 0. Calculate x.
805
Let g(n) be the second derivative of 0 + 10*n - 9/2*n**2 - 1/12*n**5 - 5/6*n**4 + 1/24*n**6 + 10/3*n**3. Let u(c) be the first derivative of g(c). Factor u(a).
5*(a - 2)*(a - 1)*(a + 2)
Suppose 140/3*j + 0 + 248/3*j**2 + 43*j**3 + 22/3*j**4 + 1/3*j**5 = 0. Calculate j.
-14, -5, -2, -1, 0
Determine p so that 3/2 + 7/4*p**2 + 43/4*p = 0.
-6, -1/7
Let c(x) be the first derivative of -x**5/35 - 65*x**4/28 - 318*x**3/7 - 378*x**2 - 10152*x/7 + 820. Suppose c(u) = 0. Calculate u.
-47, -6
Let u(o) be the third derivative of o**5/270 - 79*o**4/27 + 24964*o**3/27 - 219*o**2 - o. Factor u(i).
2*(i - 158)**2/9
Let 0*c**4 - 2*c**4 + 5*c**4 + 4355*c**2 - 4349*c**2 - 9*c**3 = 0. What is c?
0, 1, 2
Let h(j) be the second derivative of 3*j**7/28 - 49*j**6/20 + 801*j**5/40 - 567*j**4/8 + 257*j**3/2 - 126*j**2 + 3385*j. Find v such that h(v) = 0.
1, 4/3, 6, 7
Let u(a) be the second derivative of -5/4*a**3 + 9/2*a**2 - a**4 + 54*a + 9/40*a**5 + 0. Let u(s) = 0. What is s?
-1, 2/3, 3
Let u(a) be the third derivative of -a**7/6 + 43*a**6/24 - 22*a**5/3 + 25*a**4/2 + 602*a**2 + 2. Suppose u(y) = 0. Calculate y.
0, 2, 15/7
Let r = 5776 + -2860. Factor l**2 + 311*l - 435*l + r + 232*l.
(l + 54)**2
Factor 757*w - 3538*w**2 + 1657*w + 3537*w**2 - 746*w.
-w*(w - 1668)
Let d(g) = g**3 + 17*g**2 - 23*g + 45. Let j be d(-18). Let -315*c**2 + j*c**3 + 132*c**2 + 33*c**4 + 3*c**5 + 162*c + 426*c**2 = 0. What is c?
-3, -2, 0
Suppose -5*a = -p - 110, 0 = 3*a + 64*p - 59*p - 66. Let o(t) be the second derivative of -2/3*t**3 + 5/12*t**4 + 0 + a*t + 2/5*t**2. Solve o(r) = 0 for r.
2/5
Determine s so that -5584/5*s**3 + 96*s**4 - 2114/5*s**2 + 48/5 + 4*s = 0.
-1/4, 2/15, 12
Factor z**4 - 175*z + 118 + 59*z**3 + 191*z**2 - 337*z**2 + 143*z**2.
(z - 1)**2*(z + 2)*(z + 59)
Let z(v) = 56*v**3 + 193*v**2 - 969*v - 270. Let y = -596 - -605. Let o(q) = 14*q**3 + 48*q**2 - 242*q - 68. Let c(h) = y*o(h) - 2*z(h). Factor c(b).
2*(b - 3)*(b + 6)*(7*b + 2)
Let q(w) = -12*w - 237. Let j be q(-20). Suppose 14*x + 11*x = -j*x. Factor 0 + 2*r**2 + 1/2*r**4 + x*r - 2*r**3.
r**2*(r - 2)**2/2
Let h(u) be the second derivative of 10/9*u**3 - 1/9*u**6 + 16/15*u**5 + 0*u**2 + 42*u - 37/18*u**4 + 0. Solve h(k) = 0.
0, 2/5, 1, 5
Suppose -o = -0*o + j - 7, -2*o + 2*j - 6 = 0. Factor o*r**2 + 5*r - 20*r + 15 - r - r**2.
(r - 15)*(r - 1)
Let g(w) be the second derivative of -w**4/8 - 523*w**3/4 - 1209*w. Determine r so that g(r) = 0.
-523, 0
Let p be ((-132)/9)/(-2) + 34/(-51). Let r(n) be the second derivative of -5/12*n**4 + 1/4*n**5 + 0 - p*n**3 + 20*n + 30*n**2. Solve r(j) = 0.
-3, 2
Let q = -267 - -279. Let k be (-5 + 402/39)/(q/8). Let -4/13 + k*z**3 - 14/13*z**4 - 54/13*z**2 + 2*z = 0. What is z?
2/7, 1
Let y(k) be the first derivative of -1/12*k**5 - 5/3*k**3 + 5/8*k**4 + 17/2*k**2 + 18 + 0*k. Let z(j) be the second derivative of y(j). Factor z(x).
-5*(x - 2)*(x - 1)
Let k(o) = 3*o**2 - 70*o - 610. Let l(u) = 4*u**2 - 58*u - 612. Let j(w) = -6*k(w) + 5*l(w). Suppose j(i) = 0. Calculate i.
-60, -5
Factor -40*p**2 - p**2 + 240*p**3 - 252*p**4 - 17*p**2 + 49*p**5 - 6*p**2.
p**2*(p - 4)*(7*p - 4)**2
Let p(o) be the first derivative of -o**6/3 + 96*o**5/5 - 573*o**4/2 - 284*o**3/3 + 1632*o**2 + 2304*o - 1468. Solve p(i) = 0 for i.
-1, 2, 24
Let i be 1537/(-5) - 3/5. Let j be ((-352)/i)/(20/42). Factor 0 + 12/5*o**2 - 4/5*o - j*o**3 + 4/5*o**4.
4*o*(o - 1)**3/5
Let z(m) be the second derivative of 3/14*m**2 + 1/140*m**5 - 5/42*m**3 + 1/84*m**4 + 1 + 2*m. Factor z(c).
(c - 1)**2*(c + 3)/7
Let o(b) be the second derivative of -7/78*b**4 + 4/39*b**3 + 0 + 1/65*b**5 + 0*b**2 + 1/195*b**6 + 84*b. Factor o(r).
2*r*(r - 1)**2*(r + 4)/13
Let l = 2/7907 - -7667/948840. Let b(f) be the second derivative of -1/36*f**4 + 15*f - l*f**5 + 0*f**2 + 1/180*f**6 + 0 + 0*f**3. Factor b(c).
c**2*(c - 2)*(c + 1)/6
Let k(s) = -s**3 - 5*s**2 + 17*s + 82. Let n be k(-4). Let b(w) = -w**2 + w + 1. Let v(d) = 6*d**2 + 25*d + 220. Let o(i) = n*v(i) - 10*b(i). Factor o(c).
-2*(c + 15)**2
Suppose 0 = -3*u - 4 - 5. Let g be -1 + u/(-3) + 4/2. Determine c, given that -9*c**2 + 11*c**g - 2 + 2*c - 2 = 0.
-2, 1
Let h(u) be the third derivative of 0*u**3 + 0 + 1/12*u**5 + 1/24*u**6 + 180*u**2 - 5/24*u**4 + 0*u - 1/42*u**7. Factor h(l).
-5*l*(l - 1)**2*(l + 1)
Suppose -9/4*n**2 - 3*n + 3*n**3 - 3/4*n**4 + 3 = 0. What is n?
-1, 1, 2
Let i(r) be the second derivative of -2/63*r**7 + 2*r + 4/3*r**3 + r**5 + 0*r**2 - 2/15*r**6 - 17/9*r**4 - 3. Determine t, given that i(t) = 0.
-6, 0, 1
Let x(z) be the third derivative of -z**5/30 + 83*z**4/12 - 80*z**3 + 1224*z**2. Let x(h) = 0. Calculate h.
3, 80
Let x(d) be the second derivative of 7*d**5/100 + 109*d**4/60 + 121*d**3/15 + 52*d**2/5 - 4430*d + 2. Solve x(o) = 0 for o.
-13, -2, -4/7
Suppose -5*i - 11 = -y, -y + 66*i - 69*i = -19. Let u be ((-70)/84)/((-30)/y). Factor 2/9*f**2 + u*f - 16/9.
2*(f - 2)*(f + 4)/9
Let g(l) = l**2 + 10*l - 8. Let n be g(-11). Let m be (n*-8)/((-3)/2). Solve -m*u**4 - 6*u**3 + 0*u**3 - 10*u**3 - 4*u**5 + 0*u**5 = 0.
-2, 0
Let r(q) = -5*q**5 - 426*q**4 - 14*q**3 - 7*q - 7. Let h(o) = 2*o**5 + 212*o**4 + 6*o**3 + 3*o + 3. Let p(t) = -14*h(t) - 6*r(t). Solve p(n) = 0.
0, 206
Let s be 28/175 - 5609/(-1975). Fa