133*p**3/4 - 49*p**2 + 1883*p. Determine f, given that q(f) = 0.
-7, -4, -2, -1
Let b(t) be the third derivative of 43 + 1/2*t**4 + 0*t - 2*t**2 + 1/20*t**5 + 3/2*t**3. Factor b(z).
3*(z + 1)*(z + 3)
Let i(c) be the second derivative of 24 - 12/7*c**2 + 1/14*c**4 + 3/35*c**6 - 2*c - 12/7*c**3 - 5/49*c**7 + 51/70*c**5. Solve i(v) = 0 for v.
-1, -2/5, 1, 2
Let m be (2 + -3)/((-11)/2). Let k be (15587/(-121))/(-13) - 9. Factor 18/11*a**3 + 4/11*a**5 + 0 + 14/11*a**4 + m*a + k*a**2.
2*a*(a + 1)**3*(2*a + 1)/11
Let v(g) be the second derivative of g**5/30 - 15*g**4/4 - 46*g**3/3 + 33*g**2 + 68*g. Let o(m) be the first derivative of v(m). Factor o(w).
2*(w - 46)*(w + 1)
Let m(f) be the first derivative of 8/3*f**3 - 8*f**4 + 2*f**2 - 63 + 0*f. Factor m(w).
-4*w*(2*w - 1)*(4*w + 1)
Let s(d) be the third derivative of 0*d + 1/150*d**5 - 1/20*d**4 + 0 + 21*d**2 + 2/15*d**3. Find w, given that s(w) = 0.
1, 2
Suppose o - 3*o + 4 = 0. Let c be (o*(-4)/8)/(2/(-4)). Find x such that 2 - 2*x**3 + 70*x**2 + 0*x**3 - 64*x**c - 6*x = 0.
1
Let l(y) = -y**2 + 8*y - 6. Let d(h) be the second derivative of h**2/2 - 12*h + 1. Let n(p) = d(p) - l(p). Suppose n(b) = 0. Calculate b.
1, 7
Suppose 0 = -28*q + 32*q - 8276. Find c such that 227*c + q - 3468 - 8457 - 6964 - 5*c**2 + 353*c = 0.
58
Let a be (3 + (-45)/12)/(18/(-48)). Factor 68*p + 4*p**5 - 76*p - 12*p**3 + 1 - 20*p**a + 4*p**4 - 1.
4*p*(p - 2)*(p + 1)**3
Let w be -8*(-3 - -2) - -3. Let a(h) be the first derivative of -2/3*h**3 - 3/14*h**2 - 1/7*h**4 + 12/35*h**5 + 2/7*h + w + 1/6*h**6. Factor a(b).
(b - 1)*(b + 1)**3*(7*b - 2)/7
Let l(c) = -c**2 - 11*c - 24. Let d be l(-18). Let b be ((-264)/d - 2)/((-5)/25). What is o in -b*o**3 + 1/5*o**4 + 24/5*o + 16/5 + 1/5*o**2 = 0?
-1, 4
Let 78/5*j**2 - 72/5 - 48/5*j + 54/5*j**3 - 6/5*j**5 - 6/5*j**4 = 0. Calculate j.
-2, -1, 1, 3
Let t(a) be the first derivative of 1/6*a**6 - 7/4*a**4 + 9*a**2 + 0*a + 5*a**3 - 103 - 3/5*a**5. Suppose t(i) = 0. Calculate i.
-2, -1, 0, 3
Suppose 1599 = -8*q + 7943. Let c = q + -2371/3. Suppose c*y + 2/9*y**2 + 8 = 0. What is y?
-6
Let x(b) be the third derivative of b**7/15120 + b**6/96 - 23*b**5/360 - 9*b**4/8 + 5*b**2 + 9*b. Let l(n) be the second derivative of x(n). Solve l(q) = 0.
-46, 1
Let z(i) be the first derivative of i**5/45 - i**4/27 - 8*i**3/27 + 8*i**2/9 - 191*i - 118. Let q(y) be the first derivative of z(y). Factor q(b).
4*(b - 2)*(b - 1)*(b + 2)/9
Let z(w) be the first derivative of -2/15*w**5 + 6*w**2 + 18 + 0*w**4 + 22/9*w**3 + 16/3*w. Solve z(c) = 0.
-2, -1, 4
Let d be 0/(8 - 4) + 2. Solve -1405*g - 20 + 4*g**2 - 3*g**d + 1413*g = 0 for g.
-10, 2
Let h(n) = 4*n + 58. Let d be h(-10). Let s be (-2)/10*(-5 - d/(-4)). Suppose -s*y**2 + 1/10*y + 0 = 0. What is y?
0, 1
Let p = -16998 - -17001. Let v(y) be the first derivative of 1/3*y**p + 0*y**2 - 4*y + 7. Find s, given that v(s) = 0.
-2, 2
Let -30*n**3 + 4*n**4 + 204 - 3*n**4 - 21*n**2 - 4 - 5*n**3 + 35*n - 180*n**2 = 0. Calculate n.
-5, -1, 1, 40
Let x(y) be the second derivative of 11*y + y**2 + 0 - 1/360*y**5 + 0*y**3 + 1/72*y**4. Let p(v) be the first derivative of x(v). Factor p(w).
-w*(w - 2)/6
Let k(h) be the first derivative of h**5 + 10*h**4 - 220*h**3/3 + 120*h**2 - 2376. Factor k(s).
5*s*(s - 2)**2*(s + 12)
Let c(l) be the first derivative of -2*l**3/3 + 3380*l**2 - 5712200*l - 2381. Factor c(n).
-2*(n - 1690)**2
Let o(k) be the third derivative of k**7/945 - k**6/540 - k**5/270 + k**4/108 - 10*k**2 + 32*k. Factor o(h).
2*h*(h - 1)**2*(h + 1)/9
Suppose -1352*i + 2761 + 1295 = 0. Factor -4/7*n**i + 48*n**2 + 0 - 1008*n.
-4*n*(n - 42)**2/7
Let d(q) = -q**3 + 47*q**2 - 195*q - 625. Let t be d(42). Determine s so that 0 - 4/3*s**2 + 1/3*s**t + s**3 + 4/3*s**4 - 4/3*s = 0.
-2, -1, 0, 1
Let d(v) be the first derivative of 40/69*v**3 + 0*v + 1/69*v**6 - 9/23*v**4 + 8/115*v**5 + 101 - 7/23*v**2. Find n such that d(n) = 0.
-7, 0, 1
Let m(b) be the third derivative of -b**6/30 + 38*b**5/15 + 211*b**4/6 + 344*b**3/3 + 6970*b**2. Find w, given that m(w) = 0.
-4, -1, 43
Suppose 8 - 4 = -2*o, -3*g - 4*o + 19 = 0. Let x(z) = 5*z**2 - 3*z. Let h(v) = -21*v**2 + 12*v. Let s(c) = g*x(c) + 2*h(c). Solve s(t) = 0 for t.
0, 1
Let p(g) be the second derivative of 0*g**2 + 0 - 82*g - 1/70*g**7 + 2/5*g**3 - 1/5*g**4 + 2/25*g**6 - 9/100*g**5. Determine v, given that p(v) = 0.
-1, 0, 1, 2
Let b(i) be the third derivative of 0*i**3 + 7*i**2 + 4*i - 1/20*i**5 + 0 - 23/8*i**4. Let b(g) = 0. What is g?
-23, 0
Let x(f) be the third derivative of -1/15*f**4 - 1/150*f**5 + 7/5*f**3 - 7 + 12*f**2 + 0*f. Let x(l) = 0. Calculate l.
-7, 3
Let w = 551914/15 - 36794. Factor 0*k**2 + 4/15*k**3 - 2/15*k**4 - w*k + 2/15.
-2*(k - 1)**3*(k + 1)/15
Let y(m) be the third derivative of 179*m**2 + 0*m**4 - 1/1344*m**8 + 0*m**5 + 0*m + 0 - 1/120*m**7 + 0*m**3 + 1/60*m**6. Factor y(x).
-x**3*(x - 1)*(x + 8)/4
Let w be (-3 - (0 + 6)) + 52 + 39 + -78. Suppose 4/5 + 3/5*t**w + 1/5*t**3 - 7/5*t**2 - 1/5*t**5 + 0*t = 0. What is t?
-1, 1, 2
Suppose 4*v - 7 = -7*d + 4*d, 4*v = 4*d - 28. Suppose -2 = -l - d, -l = x. Find t such that -42/5*t**2 + 294/5*t + 2/5*t**x - 686/5 = 0.
7
What is r in 19/2*r**3 + 6*r + 14*r**2 + r**4 - 1/2*r**5 + 0 = 0?
-2, -1, 0, 6
Suppose 4*u - 5*o + o - 160 = 0, 4*u - 3*o = 155. Let f be (u/10 + -3)*2. Suppose f - 6 - 9 + 2*i**2 + 6*i + 6 = 0. What is i?
-4, 1
Let q = 6634233/8 - 829279. Let -43/8*b**2 + q*b**3 - 441/8 + 483/8*b = 0. Calculate b.
1, 21
Let i(b) be the second derivative of b**4/24 - 245*b**3/12 + 363*b**2/2 + 2*b - 770. What is n in i(n) = 0?
3, 242
Let m(s) be the second derivative of 1/14*s**7 + 0*s**2 + 0 + 1/10*s**6 - s**3 + 33*s - 5/4*s**4 - 9/20*s**5. Factor m(j).
3*j*(j - 2)*(j + 1)**3
Let s(b) be the second derivative of -b**4/42 - 234*b**3 - 862407*b**2 + 1374*b. Factor s(a).
-2*(a + 2457)**2/7
Determine y so that 8/3*y**4 + 68/3 - 44*y - 76/3*y**2 + 44*y**3 = 0.
-17, -1, 1/2, 1
Let m(f) be the third derivative of 29/210*f**5 - 65/28*f**4 - 1/420*f**6 + 0 - 75/7*f**3 + 2*f**2 - 3*f. Factor m(d).
-2*(d - 15)**2*(d + 1)/7
Let u(q) be the second derivative of 2*q**7/21 - 356*q**6/15 - 72*q**5 - 2*q**4/3 + 718*q**3/3 + 360*q**2 - 441*q. Suppose u(c) = 0. What is c?
-1, 1, 180
Let l(w) be the third derivative of 0*w**4 + 0 + 96*w**2 - 1/42*w**7 - 8/9*w**5 - 25/36*w**6 + 0*w + 0*w**3. Factor l(s).
-5*s**2*(s + 16)*(3*s + 2)/3
Let f(d) = 10*d**2 - d. Let l be f(1). Suppose -228*p + 311*p = 2407. Factor p - 23 + l*r**3 - 23*r + 6*r**2 + 2*r.
3*(r - 1)*(r + 2)*(3*r - 1)
Factor 495/4*f + 69/4*f**2 + 783/4 - 3/4*f**3.
-3*(f - 29)*(f + 3)**2/4
Let z be 4/(-1)*(4/8 - 1). What is j in 40*j - 3*j**3 - 8831*j**z - j**3 + 8819*j**2 = 0?
-5, 0, 2
Let y(o) be the second derivative of o**5/10 - 28*o**4 + 2407*o**3 - 13778*o**2 + 3743*o. Factor y(a).
2*(a - 83)**2*(a - 2)
Let n(w) be the second derivative of -w**4/42 + 60*w**3/7 - 8100*w**2/7 + 891*w. Factor n(a).
-2*(a - 90)**2/7
Let o(j) = -2362*j - 21255. Let n be o(-9). Suppose -46/7*t - 2/7*t**n - 22/7 - 26/7*t**2 = 0. Calculate t.
-11, -1
Let o be (-25)/4 + 15/60. Let t be (8/(-12) - (-2)/o) + 3. Determine b so that -1/4*b**4 - 5/4*b**3 - b + 0 - t*b**2 = 0.
-2, -1, 0
Suppose 4*d = 1259*x - 1258*x - 144, -4*d + 256 = 3*x. Factor -160*j - 1/5*j**5 - 97*j**2 - x - 139/5*j**3 - 19/5*j**4.
-(j + 2)**2*(j + 5)**3/5
Let k(x) be the first derivative of -32 - 3/5*x**5 - 3*x**3 - 15/2*x**2 + 12*x + 15/4*x**4. What is i in k(i) = 0?
-1, 1, 4
Let k(n) be the first derivative of 3*n**5/5 - 66*n**3 + 192*n**2 - 189*n + 778. Suppose k(v) = 0. What is v?
-9, 1, 7
Suppose 7*k + 3*f - 10372 + 3679 = 0, 0 = -3*k - 4*f + 2844. What is t in -32*t**3 - k*t**2 - 12800*t - 64000 - 2/5*t**4 = 0?
-20
Let k(r) be the third derivative of r**5/12 + 5*r**4/12 - 175*r**3/6 - 1372*r**2. Factor k(x).
5*(x - 5)*(x + 7)
Let h(o) be the third derivative of -o**6/24 + o**5/6 + 5*o**4/3 - 2*o**2 - 589*o. Suppose h(n) = 0. What is n?
-2, 0, 4
Let k(p) be the third derivative of p**7/105 - 11*p**6/60 + p**5/3 + 3*p**2 + 10*p - 26. Factor k(z).
2*z**2*(z - 10)*(z - 1)
Let v(n) = -112*n - 197. Let a be v(-8). Let p = -696 + a. Find t such that 0*t - 2/19*t**4 + 0*t**p + 0 + 2/19*t**2 = 0.
-1, 0, 1
Suppose -5*g + 2*u + 28 = 0, g + 5*u + 23 = 7. Factor 40*z + g*z**4 +