 z(r) = 0?
-1/4, 4/9
Let m(j) be the second derivative of -j**6/10 + 3*j**5/2 - 3*j**4 - 36*j**3 - 359*j - 3. Find w, given that m(w) = 0.
-2, 0, 6
Let s = 421 - 432. Let f(a) = 7*a**3 - 29*a**2 - 65*a - 33. Let k(c) = -36*c**3 + 147*c**2 + 325*c + 164. Let w(m) = s*f(m) - 2*k(m). Factor w(g).
-5*(g - 7)*(g + 1)**2
Let j(t) = 3*t**2 - 9*t + 125. Let y be j(11). Let i = y + -1162/3. Factor -5/3*u**2 + 0 - i*u.
-5*u*(u + 1)/3
Suppose 16*t + 7125 = -9*t. Let b be 4*((-20)/t)/((-10)/(-15)). Let -4/19 + 14/19*s + 14/19*s**5 - 4/19*s**4 - 28/19*s**3 + b*s**2 = 0. What is s?
-1, 2/7, 1
Let g(d) be the first derivative of 3*d**6/2 + 39*d**5/5 - 93*d**4/2 - 34*d**3 + 177*d**2/2 + 63*d + 2826. Determine w, given that g(w) = 0.
-7, -1, -1/3, 1, 3
Let k(v) be the first derivative of 2*v**5/35 + 19*v**4/14 + 22*v**3/7 - 19*v**2/7 - 68*v/7 + 1061. Determine i, given that k(i) = 0.
-17, -2, -1, 1
Let t(z) be the third derivative of -z**8/1344 + z**7/840 + 3*z**6/160 - z**5/48 - z**4/6 + z**3/2 + 166*z**2. Find j, given that t(j) = 0.
-2, 1, 3
Let k(u) be the second derivative of -u**7/42 - 2*u**6/5 - 11*u**5/5 - 19*u**4/6 + 15*u**3/2 + 25*u**2 - 1838*u. Suppose k(o) = 0. What is o?
-5, -2, -1, 1
Let d(t) be the third derivative of -t**8/560 + 87*t**7/350 + 97*t**6/200 - 803*t**5/100 + 243*t**4/10 - 176*t**3/5 + 8246*t**2. Let d(m) = 0. What is m?
-4, 1, 88
Let k(c) be the third derivative of c**7/30 + 23*c**6/40 + 38*c**5/15 + 7*c**4/2 + 2*c**2 - 3504*c. Factor k(i).
i*(i + 2)*(i + 7)*(7*i + 6)
Let w be -2 - -13 - (-288)/((-432)/12). Suppose 2/7 + 4/7*y**2 + 1/7*y**w + 5/7*y = 0. Calculate y.
-2, -1
Let m(d) be the first derivative of 2*d**5/25 - 17*d**4/10 + 8*d**3/5 + 68*d**2/5 - 128*d/5 + 373. Find l such that m(l) = 0.
-2, 1, 2, 16
Let w(x) be the second derivative of -4 + 100/3*x**4 - 5/6*x**7 + 57/2*x**5 - 45*x - 5/6*x**6 - 80/3*x**3 + 0*x**2. Suppose w(b) = 0. What is b?
-4, -1, 0, 2/7, 4
Let d(q) be the first derivative of 3/16*q**2 + 1/4*q**3 + 0*q + 3/32*q**4 - 50. Factor d(b).
3*b*(b + 1)**2/8
Let o(w) be the third derivative of -37*w**5/240 - 65*w**4/24 - 7*w**3/24 - 2321*w**2. What is g in o(g) = 0?
-7, -1/37
Suppose 2*o = 4*j - 52, 5*o + 65 = 4*o + 5*j. Solve o*w - 57/2*w**4 - 12*w**5 - 21*w**3 + 0 - 9/2*w**2 = 0 for w.
-1, -3/8, 0
Let u be (-52 - 5)*(0 - -12). Let v = u - -686. Find j, given that -4/19*j**v - 10/19*j**3 + 0*j - 8/19*j**4 + 0 - 2/19*j**5 = 0.
-2, -1, 0
Let m(p) be the third derivative of p**7/42 - 11*p**6/24 + 13*p**5/4 - 75*p**4/8 - 2*p**2 - 28. Suppose m(q) = 0. Calculate q.
0, 3, 5
Suppose -28*i**2 - 104/3*i - 14 - 8*i**3 - 2/3*i**4 = 0. What is i?
-7, -3, -1
Let h(q) = -4*q**2 + 320*q + 1346. Let j be h(84). Find f, given that -235/2*f + 75 + 15/2*f**j = 0.
2/3, 15
Find w, given that -2*w**5 + 0*w + 4/15*w**3 + 0*w**2 + 26/15*w**4 + 0 = 0.
-2/15, 0, 1
Let g(s) be the second derivative of -s**5/5 - 10*s**4/3 + 98*s**3/3 + 260*s**2 - 754*s - 2. Factor g(l).
-4*(l - 5)*(l + 2)*(l + 13)
Let g(r) be the third derivative of r**5/15 + 1027*r**4/6 - 2056*r**3/3 - 6*r**2 - 23*r - 1. Let g(l) = 0. Calculate l.
-1028, 1
Let u = 232212 - 232212. Factor 1/3*v**2 + 11/3*v + u.
v*(v + 11)/3
Let x = 231 + -243. Let t be -1 - (5/(-9) - (-8)/x). Factor -t*z**2 + 0 + 2/3*z.
-2*z*(z - 3)/9
Let a(t) be the second derivative of t**7/168 + 37*t**6/120 + 9*t**5/20 + 1587*t - 1. Determine f, given that a(f) = 0.
-36, -1, 0
Let c(d) be the first derivative of 2*d**5/15 + 49*d**4/24 - 16*d**3/3 + 29*d**2/12 + 7*d/3 - 246. Let c(r) = 0. Calculate r.
-14, -1/4, 1
Suppose -4045 - 27224 = -430*g + 1411. Determine h, given that -716/5*h**2 - 64/5*h**5 - 808/5*h**3 - 208/5*h - g*h**4 + 16/5 = 0.
-2, -1, 1/16
Let x = 17/33 - 2/11. Suppose 112*i - 6 + 4 - 176 - 158 = 0. What is t in 3*t**i + 7/3*t**2 + 0 + 2/3*t + x*t**5 + 5/3*t**4 = 0?
-2, -1, 0
Let c(x) be the first derivative of x**7/1260 + x**6/540 - x**5/180 - x**4/36 + 20*x**3 - 28. Let f(t) be the third derivative of c(t). Factor f(l).
2*(l - 1)*(l + 1)**2/3
Let i = -187/114 - -75/38. Let u(w) be the second derivative of -20/3*w**3 + 2*w + 50*w**2 + i*w**4 + 0. Suppose u(y) = 0. What is y?
5
Let o(z) be the third derivative of -122*z**2 + 0 + 3/80*z**6 - 1/4*z**3 + 0*z + 1/8*z**5 + 1/16*z**4. Solve o(l) = 0 for l.
-1, 1/3
Let x = -1064 + 1066. Let j = 2524 + -5047/2. Let 0 - j*c**3 - c - 1/4*c**4 + 7/4*c**x = 0. Calculate c.
-4, 0, 1
Let c be (-35)/(-10) + 5 + 6369/(-1158). Find i, given that 2 + 7/9*i + 1/9*i**c - 10/9*i**2 = 0.
-1, 2, 9
Let h be -4 + (22675 - -1 - -2). Let -60*c**3 + h*c**2 - 22674*c**2 - 3*c**4 = 0. Calculate c.
-20, 0
Suppose 10 = b - 5*z, 6*b - b - 5*z - 10 = 0. Let k(o) be the first derivative of -1/3*o**2 - 4 + b*o + 8/27*o**3 - 1/18*o**4. Factor k(g).
-2*g*(g - 3)*(g - 1)/9
Factor -184/3*o + 1/3*o**2 - 185/3.
(o - 185)*(o + 1)/3
Let q(h) = 18*h - 106. Let j be q(6). Let u(k) be the first derivative of -35/3*k**3 + 25/2*k**2 + j + 10*k. What is w in u(w) = 0?
-2/7, 1
Let 0*w - 41/2*w**3 - 18*w**5 - 71/2*w**4 - 3*w**2 + 0 = 0. Calculate w.
-1, -3/4, -2/9, 0
Let l(f) = 26*f**4 + 4148*f**3 - 4124*f**2 + 5*f - 5. Let x(w) = 10*w**4 + 2072*w**3 - 2062*w**2 + 2*w - 2. Let u(b) = 2*l(b) - 5*x(b). Solve u(c) = 0.
0, 1, 1031
Let l(a) = 21*a**3 - 48*a**2 + 15*a + 99. Let g(o) = 3*o**3 - 7*o**2 + 2*o + 14. Let m = 248 + -263. Let b(q) = m*g(q) + 2*l(q). Solve b(d) = 0 for d.
-1, 2
Let r(m) be the third derivative of -m**6/120 + 11*m**5/20 - 14*m**4 + 490*m**3/3 + 2*m**2 + 428. Find b, given that r(b) = 0.
5, 14
Let x(p) be the second derivative of p**4/4 - 20*p**3 - 414*p**2 - 4*p + 645. Factor x(i).
3*(i - 46)*(i + 6)
Suppose n**3 - 31/9*n - 2/9*n**2 - 20/9 = 0. What is n?
-1, 20/9
Factor 5*l**4 + 4377*l**2 + 1693 - 17959*l - 368*l**3 + 407 - 152*l**2 - 702*l**3 + 12699*l.
5*(l - 210)*(l - 2)*(l - 1)**2
Suppose -3*l + 39 = -c + 59, -4*l - 28 = -2*c. Find g such that -5/3*g + 1/3*g**4 - 4/3 + 5/3*g**3 + g**c = 0.
-4, -1, 1
Let c = 6 + -4. Let q be (408/(-476))/((-5 - -3) + 120/70). Factor 8/3*d**q - 4*d**c - 2/3 + 8/3*d - 2/3*d**4.
-2*(d - 1)**4/3
Let v(o) be the second derivative of -3/2*o**2 - 81*o + 1/14*o**7 - 1/10*o**6 - 3/10*o**5 + 0 + 1/2*o**3 + 1/2*o**4. Factor v(a).
3*(a - 1)**3*(a + 1)**2
Suppose 5*m - 12*m = -245. Determine l so that -34*l - 9*l**3 + 52*l**2 + 252 - 111*l - m*l + 5*l**3 - 24*l = 0.
3, 7
Let g be 6 - 1695/(-6)*(-138)/115. Let u = -333 - g. Factor u*q**2 + 1/5*q**3 + 2/5 - 3/5*q.
(q - 1)**2*(q + 2)/5
Let z(r) be the third derivative of -r**5/20 + 23*r**4/4 - 205*r**3/2 + 4489*r**2. Factor z(w).
-3*(w - 41)*(w - 5)
Let s(f) be the third derivative of f**6/15 + 19*f**5/5 - 237*f**4/16 + 45*f**3/2 - 19*f**2 - 35*f - 1. Factor s(l).
(l + 30)*(4*l - 3)**2/2
Suppose 4*p + 236 = 4*c, p - 126 = -2*c + 7. Let s = -61 + c. Factor -6*r**3 + 0*r**2 - s*r**2 - 3*r**4 + 0*r**2.
-3*r**2*(r + 1)**2
Suppose -4*k - 1 = -3*x + 45, 3*x + 3*k = 18. Suppose 2*v + 5*b - 74 = 9, 5*b = 3*v - 87. Factor -v*s**2 + 2*s**3 - 128 + 150*s + x*s + 0*s**3.
2*(s - 8)**2*(s - 1)
Let w be -2*(-6)/(-4) - -5. Suppose 4 = 3*g + i - 0, 5*g = -w*i + 5. Factor 10 + 3 + 3*c**3 - c**2 - c**4 - 11 - g*c.
-(c - 2)*(c - 1)**2*(c + 1)
Factor 104*v**3 - 9*v**5 - 9*v**4 + 8*v**5 - 14*v**4 - 146*v**3.
-v**3*(v + 2)*(v + 21)
Suppose -12 = y + 2*g - 34, 0 = 4*y - 3*g - 121. Factor 8*v**3 + 64*v + y*v**2 - 14*v**3 + 48 + 10*v**3.
4*(v + 2)**2*(v + 3)
Let h(k) be the third derivative of -k**8/131040 + k**6/1170 + 2*k**5/3 + 41*k**2. Let m(s) be the third derivative of h(s). Suppose m(n) = 0. What is n?
-2, 2
Suppose -32*i = -27*i - 5, 3*s - 13 = -4*i. Let b(t) be the second derivative of -29/3*t**4 + 28/5*t**5 + 0 - 5*t + 4*t**2 - 2/3*t**s. Factor b(j).
4*(j - 1)*(4*j + 1)*(7*j - 2)
Let x(j) = -7*j**4 - 137*j**3 - 263*j**2 + 8*j + 349. Let d(m) = -4*m**4 - 73*m**3 - 132*m**2 + 4*m + 175. Let h(y) = -5*d(y) + 3*x(y). Factor h(w).
-(w - 1)*(w + 2)**2*(w + 43)
Let a(x) = -2*x - 8. Let g be a(-5). Find k, given that 16*k**2 + 20*k**4 - 3*k**g - k**2 - 180*k**3 + 216*k**3 - 4*k = 0.
-1, 0, 1/5
Suppose 5*j**4 + 180*j**3 + 142209*j**2 - 143665*j**2 + 3*j**4 - j**4 - 3*j**4 = 0. What is j?
-52, 0, 7
Let g(v) be the third derivative of -2*v**7/105 - v**6/15 + v**5/5 + 2*v**4/3 - 8*v**3/3 - 2*v**2 - 1889*v. Factor g(s).
-