e first derivative of -1/3*a**z + 3/10*a - 13/20*a**2 - 16. Find t, given that q(t) = 0.
-3/2, 1/5
Suppose 224*p - 1714 - 62 = 912. Let u(v) be the second derivative of 1/12*v**4 - 2*v**2 + 1/20*v**5 - p - 2*v - 2/3*v**3. Factor u(q).
(q - 2)*(q + 1)*(q + 2)
Let l(m) = m**5 + 2*m**2 - 1. Let w(n) = -25*n**5 - 324*n**4 - 1494*n**3 - 2528*n**2 - 1755*n - 422. Let k(c) = 10*l(c) + w(c). Find u, given that k(u) = 0.
-16, -3, -1, -3/5
Let g = -1167 - -4669/4. Let n(d) be the first derivative of 28 + 1/16*d**4 + 0*d**2 + d - g*d**3. Factor n(f).
(f - 2)**2*(f + 1)/4
Let w(k) = -k**3 - 5*k**2 + 24*k + 3. Suppose 34 = -13*t - 70. Let u be w(t). Suppose 5 - 5/4*d**u - 45/4*d + 15/2*d**2 = 0. What is d?
1, 4
Let d(v) be the third derivative of v**5/140 + 87*v**4/56 + 85*v**3/7 - 1060*v**2. Factor d(h).
3*(h + 2)*(h + 85)/7
Factor 69 + 275/4*s - 1/4*s**2.
-(s - 276)*(s + 1)/4
Let c(z) be the third derivative of -z**6/840 - z**5/280 - 25*z**3/3 + 26*z**2. Let h(q) be the first derivative of c(q). Determine b so that h(b) = 0.
-1, 0
Let c(i) = -5*i - 218. Let b be c(-44). Solve 5*f**b - 230 + 353*f + 100*f - 228*f = 0 for f.
-46, 1
Factor -2*v**4 + v**2 + 2602*v**3 - 2623*v**3 - v**2 + 10*v - 9*v**2.
-v*(v + 1)*(v + 10)*(2*v - 1)
Let -1/2*o**4 + 35/6 + 71/3*o + 56/3*o**2 + 1/3*o**3 = 0. What is o?
-5, -1, -1/3, 7
Let -24/7*r**3 + 768/7 + 128/7*r - 304/7*r**2 - 2/7*r**5 + 4*r**4 = 0. Calculate r.
-2, 2, 4, 12
Suppose -104 = -4*r - 22*r. Let 36*b**2 + r*b + 3*b**5 - 51*b**4 + 5*b + 3*b + 69*b**4 + 39*b**3 = 0. What is b?
-2, -1, 0
Let v(s) be the third derivative of 1/24*s**6 + 0*s**3 + 10*s**2 + 0*s + 0*s**4 + 0 - 1/42*s**7 + 1/6*s**5. Determine d, given that v(d) = 0.
-1, 0, 2
Let w = 26 - 26. Suppose w = -6*q + 7 + 35. Factor -q - i**2 + 5*i**5 + 17 - 20*i**3 - 9*i**2 + 15*i.
5*(i - 2)*(i - 1)*(i + 1)**3
Find f such that 29454*f - 24 - 16*f**3 + 4*f**4 - 29410*f + 4*f**3 - 12*f**2 = 0.
-2, 1, 3
Let z(m) = -2*m**3 + 8*m**2 + 24*m - 32. Let k(p) = -p**3 + 6*p**2 + 24*p - 32. Suppose -2*w = 154 - 158. Let t(v) = w*k(v) - 3*z(v). Find d such that t(d) = 0.
-2, 1, 4
Let s(m) be the third derivative of -11*m**5/60 - 125*m**4/24 - 22*m**3/3 - 106*m**2 + 5. Suppose s(b) = 0. What is b?
-11, -4/11
Let m(v) be the second derivative of -v**7/3 - 73*v**6/30 + 19*v**5/2 + 85*v**4/12 - 68*v**3/3 + 14*v**2 + 2372*v. Solve m(r) = 0.
-7, -1, 2/7, 1/2, 2
Let j(t) be the second derivative of -t**7/4620 + t**5/55 + 4*t**4/33 - 28*t**3/3 + 51*t. Let s(o) be the second derivative of j(o). Factor s(a).
-2*(a - 4)*(a + 2)**2/11
Let h(j) = -16*j - 91. Let x be h(-7). Factor -x*d**3 + 18*d**2 - 72*d**2 - d**4 - 93*d**2 - 343*d + 0*d**4.
-d*(d + 7)**3
Let g(r) be the first derivative of 0*r - 35/4*r**4 + 127 + 5/3*r**3 - r**5 + 5/6*r**6 + 15*r**2. What is n in g(n) = 0?
-2, -1, 0, 1, 3
Let j(f) be the second derivative of f**5/10 - 17*f**4/6 - 8*f**3 + 108*f**2 - 34*f + 86. Factor j(u).
2*(u - 18)*(u - 2)*(u + 3)
Factor 11/3*w**2 + 0 + 5/3*w - 13/3*w**3 - w**4.
-w*(w - 1)*(w + 5)*(3*w + 1)/3
Let f(s) = -15*s**3 - 7*s**2 - 17*s + 2. Let w be f(-2). Determine t so that 4*t**2 - w - 24*t + 16*t - 48*t = 0.
-2, 16
Suppose 34 + 356 = q - 4*k, 3*k + 3 = 0. Let b = 388 - q. Factor 1/3*x**b - 4/3 + x.
(x - 1)*(x + 4)/3
Let s(q) = -11*q**2 - 17*q + 10. Let d(r) = -9*r**2 - 16*r + 8. Let b be (-78)/21 - 6/21. Let g(h) = b*s(h) + 5*d(h). Determine k so that g(k) = 0.
-12, 0
Suppose 10558960 - 10558960 + 3*w**3 + 1449*w**2 - 2910*w = 0. Calculate w.
-485, 0, 2
Let x(d) be the first derivative of -5*d**3/2 - 43*d**2/4 + 3*d + 2533. Suppose x(p) = 0. What is p?
-3, 2/15
Let q(f) be the third derivative of 239*f**2 + 0*f + 0 + 5/4*f**4 - 1/4*f**6 - 1/12*f**5 + 0*f**3 + 1/42*f**7. Determine o so that q(o) = 0.
-1, 0, 1, 6
Let q(m) = 9*m**3 - 172*m**2 + 79*m - 1137. Let i be q(19). Let 8/5 + 2/5*u**i - 14/5*u**2 + 6/5*u**4 - 2/5*u**5 + 0*u = 0. What is u?
-1, 1, 2
Let r(o) be the second derivative of 5*o**7/42 + 3*o**6 - 497*o**5/2 + 15190*o**4/3 - 101185*o**3/2 + 276115*o**2 + 4767*o. Solve r(n) = 0.
-46, 7
Let u be -2*(1 - -1) + 162. Let z = u + -158. What is d in 0 - 1/3*d**3 + 1/3*d + z*d**2 = 0?
-1, 0, 1
Suppose 212*v - 214*v + 24 = 0. Factor 48*c**4 - v*c**3 + 84*c**3 + 109*c**5 - 100*c**5 - 48*c.
3*c*(c + 2)**3*(3*c - 2)
Let w(z) = -42*z - 2350. Let g be w(-56). Let 2/3*v**g - 52/3*v + 338/3 = 0. Calculate v.
13
Suppose -54 = -2*a - 4*t, -3*a + 127 - 51 = 5*t. Suppose 9 = -j - 3*w, 2*w = -4*j + 7*j - a. Find o such that -j*o + 0 - 9/2*o**2 = 0.
-2/3, 0
Factor -1840/9 - 4/9*f**2 - 1844/9*f.
-4*(f + 1)*(f + 460)/9
Let h(o) be the first derivative of -2/13*o**2 - 73 - 2/39*o**3 + 0*o + 1/26*o**4. Factor h(x).
2*x*(x - 2)*(x + 1)/13
Factor 15/4*g**2 - 3/4*g**3 + 0 - 9/2*g.
-3*g*(g - 3)*(g - 2)/4
Let h(k) be the second derivative of k**6/50 - 33*k**5/50 + 43*k**4/5 - 276*k**3/5 + 864*k**2/5 + 681*k - 2. Find v, given that h(v) = 0.
2, 6, 8
Let u(t) = -t + 33. Let j be u(8). Suppose -5*b + v + j + 15 = 0, b - v = 8. Factor s**3 + 67 - 4*s - 67 - 5*s**3 + b*s**2.
-4*s*(s - 1)**2
Let b(s) be the third derivative of s**6/72 + 3*s**5/5 + 13*s**4/6 - 40*s**3/9 - 3*s**2 - 410*s. Factor b(i).
(i + 2)*(i + 20)*(5*i - 2)/3
Let f = -2/223775 - -230488272/2461525. Let q = 94 - f. Factor q*y**2 + 0 + 2/11*y.
2*y*(2*y + 1)/11
Let a(w) be the second derivative of -w**6/30 - 3*w**5/4 + 17*w**4/12 + 5*w**3/2 - 8*w**2 + 4519*w. Factor a(p).
-(p - 1)**2*(p + 1)*(p + 16)
Determine r, given that -39/4*r**2 + 90*r - 188 - 1/4*r**3 = 0.
-47, 4
Let k(s) = 2*s + 35. Let h be k(22). Factor -19*y**3 + 163*y**4 + 56*y + 83*y**3 - 116*y**2 - 88*y**4 - h*y**4.
-4*y*(y - 14)*(y - 1)**2
Let b(w) be the second derivative of -w**7/14 + 11*w**6/15 - w**5/4 - 7*w**4/6 + 30*w - 7. Suppose b(y) = 0. What is y?
-2/3, 0, 1, 7
Factor -83/2*r + 63/2 + 59/6*r**2 + 1/6*r**3.
(r - 3)*(r - 1)*(r + 63)/6
Determine w, given that 4*w**3 + 49*w - 21*w - 58*w - 5*w**2 + w**3 = 0.
-2, 0, 3
Let k(y) be the second derivative of -y**5/30 + 353*y**4/6 - 124609*y**3/3 + 43986977*y**2/3 + 3490*y. Factor k(o).
-2*(o - 353)**3/3
Let y(n) be the second derivative of -8/15*n**3 - 2*n - 1/50*n**5 + 4/5*n**2 + 1/6*n**4 + 6. Solve y(w) = 0.
1, 2
Let c = 488 - 480. Let z(p) be the first derivative of -22 - c*p - 2*p**2 - 1/6*p**3. Determine g so that z(g) = 0.
-4
Let q(l) = -57*l**2 + 9 - 10*l + 139*l**2 - 48*l**2 - 45*l**2. Let g(w) = 8*w**2 + 11*w - 10. Let y(m) = -4*g(m) - 3*q(m). Factor y(c).
(c - 13)*(c - 1)
Find o, given that 0*o**2 + 0*o + 2/7*o**4 + 0 + 166/7*o**3 = 0.
-83, 0
Let x(i) be the first derivative of 243 + 2/7*i**3 + 15000/7*i - 300/7*i**2. Let x(h) = 0. Calculate h.
50
Let i(x) be the first derivative of -2*x**3/39 + 21*x**2/13 - 136*x/13 - 10483. Factor i(h).
-2*(h - 17)*(h - 4)/13
Let j be ((-730)/125 + 6)*-2930 + -4. Let f = j + 473. Factor 1/5*v**2 + f - 2/5*v.
(v - 1)**2/5
Let f(a) = 69*a**2 - 2285*a + 4546. Let c(j) = -20*j**2 + 762*j - 1516. Let b(y) = -14*c(y) - 4*f(y). Suppose b(g) = 0. Calculate g.
2, 380
Let y(n) be the third derivative of -n**5/12 + 115*n**4/12 + 80*n**3 - 619*n**2. Factor y(k).
-5*(k - 48)*(k + 2)
Suppose -32*y - 5*p + 32 = -11*y, -2*p - 6 = -y. What is w in -1/4*w**3 - 21/4*w**y - 25 - 30*w = 0?
-10, -1
Let y(f) = -3*f**2 - 155*f - 94. Let u be y(-51). Let i be u/10*53/53. Factor -2/5 - a - i*a**2 - 1/5*a**3.
-(a + 1)**2*(a + 2)/5
Suppose -4*h + 24 = 4*t, 3*t + 90 - 60 = 5*h. Let k be (-63)/1323 + (2/h - 0). Let -4/7 + k*c - 2/7*c**3 + 4/7*c**2 = 0. Calculate c.
-1, 1, 2
Suppose -3*r - 9 = 4*i, 4 = -3*r - 5. Let q = -504454 - -504456. Let 1/2*w**q + 1/2*w + i = 0. Calculate w.
-1, 0
Let l(n) be the third derivative of -529*n**6/360 - 23*n**5/60 - n**4/24 + 113*n**3/6 + n**2. Let h(g) be the first derivative of l(g). Factor h(r).
-(23*r + 1)**2
Factor -40 - 5/3*k**2 + 55/3*k.
-5*(k - 8)*(k - 3)/3
Let k(p) be the second derivative of -p**7/168 + 7*p**6/60 - 21*p**5/80 - 11*p**4/12 + 25*p**3/6 - 6*p**2 - 2066*p + 2. Solve k(u) = 0.
-2, 1, 2, 12
Suppose -5 = -6*u + 43. Let -96*b**2 - u - 188*b + 20 - 3 - 1 = 0. Calculate b.
-2, 1/24
Let v(z) = -109*z + 114. Let g be v(1). Let p(c) be the second derivative of 2*c - 7/2*c**3 + 3*c**2 - 3/4*c**g + 9/4*c**4 + 0 + 1/10*c**6. Factor p(o).
3*(o - 2)*(o - 1)**3
Let l(