irst derivative of 1/2*t**2 - t + 1/3*t**3 - 1/4*t**4 - 18. Let g(s) = 0. What is s?
-1, 1
Let l(s) be the second derivative of 13*s + 1/4*s**4 + 0 - 1/2*s**3 + 1/2*s**2 - 1/20*s**5. Solve l(g) = 0 for g.
1
Let o(g) = -17*g + 3. Let v be o(0). Suppose 0 = n + 4*r - 22, -2*n - 27 = -3*n - 5*r. Factor -6*u + 32/5*u**v + 48/5*u**n + 4/5.
2*(u + 2)*(4*u - 1)**2/5
Suppose 3 + 1/2*i - 1/8*i**3 - 3/4*i**2 = 0. What is i?
-6, -2, 2
Let j = -4 - -3. Let u(a) = -a + 1. Let k be u(j). Factor 5*f**4 + 5*f**4 + 0*f - f**4 + 12*f**3 - 12*f - 6*f**k - 3.
3*(f - 1)*(f + 1)**2*(3*f + 1)
Let q = 243 + -243. Let y(r) be the third derivative of q*r + 0*r**3 + 0*r**4 + 5*r**2 + 0 - 1/40*r**6 - 2/105*r**7 + 1/60*r**5. Factor y(x).
-x**2*(x + 1)*(4*x - 1)
Let t be 1 + 78/13 + -1 + -1. Find j such that -j**t + 4*j**5 + 6*j**4 - 3*j**5 + 4*j**2 - 9*j**3 - j**5 = 0.
0, 1, 4
Let a(r) be the first derivative of 126*r**5/5 + 17*r**4 - 130*r**3/7 + 12*r**2/7 + 8*r/7 - 478. Find b, given that a(b) = 0.
-1, -1/9, 2/7
Suppose 1 + 2 = 3*f, 5*f - 17 = -3*w. Suppose w*h - h + x - 3 = 0, -2*h = -4*x - 16. Factor 4*o**4 + 2 - 4*o**5 - 2 + 6*o**3 - 4*o**h - 2*o**3.
-4*o**2*(o - 1)**2*(o + 1)
Let -9*b**2 + 54/5 - 6/5*b**3 + 87/5*b = 0. Calculate b.
-9, -1/2, 2
Let c = 7 + -4. Suppose 14*t - 14 - 14 = 0. Factor -6*r**3 + 5*r**3 + 3*r**3 - 6*r**t + c*r + r.
2*r*(r - 2)*(r - 1)
Let j = 2189/29 - 19121/261. Suppose 2/9*h**3 + 0 + j*h + 22/9*h**2 = 0. Calculate h.
-10, -1, 0
Factor 0 - 1/2*g**5 + 0*g**3 + 343*g**2 - 7*g**4 + 2401/2*g.
-g*(g - 7)*(g + 7)**3/2
Let p(i) be the third derivative of -i**6/90 - 4*i**5/75 + 2*i**4/15 - i**3/6 + 2*i**2. Let r(v) be the first derivative of p(v). Let r(x) = 0. Calculate x.
-2, 2/5
Find l such that 1 - 269*l**2 + 621*l**3 - 1 - 365*l**3 + 4*l**4 + 769*l**2 + 248*l = 0.
-62, -1, 0
Let u(g) = -g**3 - 5*g**2 - 8*g - 4. Let j be u(-3). Factor 21*s**2 - 8*s**j - s - 3*s + 21*s**2.
2*s*(17*s - 2)
Let z be 1*7 - 29/(174/41). Factor 0*p**2 + z*p**3 - 1/6*p + 0.
p*(p - 1)*(p + 1)/6
Suppose -3069 = -10*q - q. Let c = 281 - q. Factor -5/3*r - 10/3 + 5/3*r**c.
5*(r - 2)*(r + 1)/3
Let t(h) be the second derivative of -75/2*h**3 - 3/20*h**5 - 375/2*h**2 + 0 - 3*h - 15/4*h**4. Suppose t(n) = 0. What is n?
-5
Let o(j) be the first derivative of -4*j**3/3 - 20*j**2 + 44*j + 95. Let o(h) = 0. What is h?
-11, 1
Let n(b) be the second derivative of -b**7/210 - b**6/240 + 11*b**2/2 + b + 7. Let h(w) be the first derivative of n(w). Solve h(c) = 0 for c.
-1/2, 0
Let t(r) be the third derivative of -1/3*r**3 + 0*r - 1/24*r**4 - 5*r**2 + 0 + 1/60*r**5. Let t(m) = 0. Calculate m.
-1, 2
Let n be 9/(-122)*(10/6 - 1). Let b = 155/671 + n. Factor -2/11 - b*t + 4/11*t**2.
2*(t - 1)*(2*t + 1)/11
Let l(p) = 365*p**2 - 3235*p - 3610. Let n(t) = -t**3 + 183*t**2 - 1617*t - 1805. Let g(w) = -2*l(w) + 5*n(w). Suppose g(f) = 0. What is f?
-1, 19
Find p such that 1/2*p**4 + 9*p**3 + 39*p - 56*p**2 + 207/2 = 0.
-23, -1, 3
Let b(j) be the first derivative of -5*j**6/6 + 5*j**5 - 15*j**4/2 - 20*j**3/3 + 20*j**2 - 128. Let b(u) = 0. What is u?
-1, 0, 2
Let x = -1601 - -1605. Solve 0 + 4/11*z**x + 10/11*z**5 + 0*z - 4/11*z**2 - 10/11*z**3 = 0.
-1, -2/5, 0, 1
Suppose w + 3*w + 12 = 3*u, 5*u - w = 20. What is f in 2*f**4 + 4*f**3 - f**u - 2*f**2 - 3*f**4 = 0?
0, 1
Factor -4/5*q + 0 - 116/5*q**2 - 124/5*q**4 + 244/5*q**3.
-4*q*(q - 1)**2*(31*q + 1)/5
Let r be 57/18 + (-2)/12. Find z such that -9*z + 0*z**2 + 22*z**r - 48*z**3 - 3*z**2 + 38*z**3 = 0.
-3/4, 0, 1
Let j(m) be the first derivative of 0*m**3 + 6 - 1/60*m**5 + 1/36*m**4 + 0*m**2 - 2*m. Let x(k) be the first derivative of j(k). Let x(h) = 0. What is h?
0, 1
Factor -2/3*z**4 + 0*z + 4/3*z**3 + 0 - 2/3*z**2.
-2*z**2*(z - 1)**2/3
Let f = -91 - -131. Let t be (-36)/16*f/(-15). Determine y so that 81/4*y**5 + 81/2*y**4 + t*y**2 + 0*y + 0 + 27*y**3 = 0.
-2/3, 0
Let a be -3 + 5 - 7 - -9. Let n(c) be the first derivative of 12 - 4*c**2 + 2/3*c**3 - 8*c + 1/2*c**a. What is o in n(o) = 0?
-2, -1, 2
Suppose -29*m - 21*m - 81 = -77*m. Factor -3*p - 2*p**4 + 2*p**2 + 8/3*p**m + 1/3*p**5 + 0.
p*(p - 3)**2*(p - 1)*(p + 1)/3
Let f be ((-2)/18)/((-4)/(-7660)). Let j = f + 213. Factor j*r**2 + 0 + 0*r.
2*r**2/9
Suppose -6*o = -11*o + 15. Find q, given that -22*q**o + 6*q**2 + 47*q**3 - 2*q**4 - 21*q**3 = 0.
-1, 0, 3
Let a(n) be the second derivative of n**6/10 + 3*n**5/10 + n**4/4 - 23*n. Factor a(k).
3*k**2*(k + 1)**2
Let r be 1/((-36)/(-29)) + 77/(-308). Let i(j) be the second derivative of r*j**3 + 1/30*j**5 + 0 - 2/9*j**4 + 5*j - 2/3*j**2. Factor i(v).
2*(v - 2)*(v - 1)**2/3
Let u(c) be the second derivative of -5*c**4/36 - 25*c**3/18 + 30*c**2 + 24*c - 2. Factor u(p).
-5*(p - 4)*(p + 9)/3
Let s be 9/63 + 1 + (-1826)/(-56). Let x = 34 - s. Factor -3/4 - x*g**2 - g.
-(g + 1)*(g + 3)/4
Let y be (112/385)/((-4)/(-4)*13/65). Factor y*d - 10/11*d**2 + 2/11*d**3 - 8/11.
2*(d - 2)**2*(d - 1)/11
Let t = 27 - 24. Suppose t*d - 4*d = -2. Factor -y**d - y - y**2 + 3*y**2.
y*(y - 1)
Suppose 384*n - 377*n + 25 - 46 = 0. Let 15/2*s**2 - 1/2*s**n - 63/2*s + 49/2 = 0. Calculate s.
1, 7
Let a be (-5148)/(-3120) - 7/5. Solve -3/4*l**2 - a*l**3 - 1/4 - 3/4*l = 0 for l.
-1
Let h(p) = p**5 + 27*p**4 + 221*p**3 + 505*p**2 + 458*p + 145. Let t(y) = -2*y**3 - 2*y - 1. Let i(f) = -2*h(f) - 2*t(f). Find n, given that i(n) = 0.
-12, -1
Let r(l) = l - 6. Let s be r(6). Let z = 69/5 + -749/55. What is o in z*o**2 - 2/11*o + s = 0?
0, 1
Suppose -10*k - 4*k + 28 = 0. Let o = 2/51 + 32/51. Factor o*z**k + 0*z + 0.
2*z**2/3
Let o(s) be the second derivative of 35*s**4/12 + 10*s**3/3 - 15*s**2/2 + 135*s. Solve o(i) = 0 for i.
-1, 3/7
Let j = -25/66 + 29/33. Determine l so that -j*l**3 + 0 - 1/2*l**2 + 1/2*l + 1/2*l**4 = 0.
-1, 0, 1
Let r(o) be the second derivative of 0 + 8*o**2 + 1/48*o**4 + 2/3*o**3 - 39*o. Factor r(q).
(q + 8)**2/4
Suppose 0 + 30/11*o**2 - 2/11*o**3 + 0*o = 0. What is o?
0, 15
Let o(h) be the first derivative of -h**4/4 + h**3/3 - 207. Solve o(j) = 0.
0, 1
Let n(s) = s**3 - s. Suppose 24*a + 18 = 21*a. Let f(g) = 3*g**3 - 2*g**2 - g. Let h(c) = a*n(c) + 3*f(c). Let h(v) = 0. What is v?
0, 1
Let u**2 - 18 + u**2 - 9 + 20*u + 5 = 0. What is u?
-11, 1
Let q(n) be the first derivative of -3/40*n**5 + 0*n**2 + 0*n**4 + 1/28*n**7 + 4 + 6*n + 0*n**3 + 0*n**6. Let o(b) be the first derivative of q(b). Factor o(y).
3*y**3*(y - 1)*(y + 1)/2
Suppose -8*q - 1 = -25. Solve 240*j**3 - 210*j**q + 5*j**4 + 60*j**2 + 3 + 50*j + 12 = 0.
-3, -1
Suppose 5*v - 2*q - 18 = 0, -6 + 0 = -5*v - q. Let a(h) be the third derivative of 0*h + 1/36*h**4 + 0*h**3 + 4*h**v - 1/90*h**5 + 0. Factor a(d).
-2*d*(d - 1)/3
Let k(l) = -7*l. Let z(b) = -20*b. Let o(i) = -17*k(i) + 6*z(i). Let h(g) = -4*g**2 + 4*g + 4. Let f(m) = -h(m) - 4*o(m). Factor f(d).
4*(d - 1)*(d + 1)
Determine h, given that -11*h - 16*h - 48 - 23*h - 2*h - 4*h**2 = 0.
-12, -1
Let t be 183/30 - 54/12. Factor -4/5*m**3 + 8/5*m + t + 2/5*m**4 - 6/5*m**2.
2*(m - 2)**2*(m + 1)**2/5
Let h(b) be the third derivative of -b**5/480 - b**4/16 - 9*b**3/16 + 92*b**2. What is q in h(q) = 0?
-9, -3
Let m be (-68)/44 - -1 - 704/(-847). Solve m*p**4 - 4/7*p**3 - 6/7*p**2 + 8/7 + 8/7*p = 0.
-1, 2
Suppose 76/5*s**2 - 4/5*s**3 + 128/5 - 40*s = 0. What is s?
1, 2, 16
Let w(y) be the third derivative of -2*y**7/45 + y**6/3 - 43*y**5/45 + 4*y**4/3 - 8*y**3/9 + 58*y**2. Determine g so that w(g) = 0.
2/7, 1, 2
Factor -348/13*f**3 + 0 - 144/13*f - 440/13*f**2 - 18/13*f**4.
-2*f*(f + 18)*(3*f + 2)**2/13
Let k(j) be the third derivative of j**7/630 + j**6/180 - j**4/36 - j**3/18 - 86*j**2. Solve k(h) = 0 for h.
-1, 1
Let y(k) be the first derivative of -5*k**4/12 - 15*k**3 - 405*k**2/2 + 27*k + 12. Let b(t) be the first derivative of y(t). Factor b(o).
-5*(o + 9)**2
Let t(x) be the first derivative of -19 + 4/13*x + 8/39*x**3 - 1/26*x**4 - 5/13*x**2. Find r such that t(r) = 0.
1, 2
Factor 150*n**3 + 362/3*n - 4 - 920*n**2.
2*(n - 6)*(15*n - 1)**2/3
Let g(q) = -q**4 + q**3 - q**2 + 1. Let r(n) = -2*n**5 - 14*n**4 + 8*n**3 - 10*n**2 + 10. Let f(w) = 10*g(w) - r(w). Factor f(h).
2*h**3*(h + 1)**2
Suppose 7*j + 10 = 9*j. Let y be (-4)/(-32) + j/24. Suppose -y*r**2 - 1/3 - 2/3*r = 0. Calculate r.
-1
Let x(a) be the second derivative of a**5/160 + 43*a**4/9