 1)**2
Solve -12*t**2 - 304/21 - 2/21*t**4 - 472/21*t - 50/21*t**3 = 0 for t.
-19, -2
Let o(p) = p**3 + p**2. Let t(x) = 25*x**3 + 40*x**2 + 15*x. Let k(z) = 30*o(z) - t(z). Find j such that k(j) = 0.
-1, 0, 3
Let n(j) be the first derivative of 5/3*j**3 + 5*j - 16 + 5*j**2. Solve n(r) = 0.
-1
Let f = 0 + 16. Factor 5 + f*v**2 + 2 + 1 - 20*v - 5*v**3 + v**3.
-4*(v - 2)*(v - 1)**2
Let w(u) be the second derivative of 0 + 0*u**3 + 8/3*u**2 - 2/63*u**7 - 13*u + 1/15*u**5 - 7/9*u**4 + 2/15*u**6. Suppose w(r) = 0. What is r?
-1, 1, 2
Suppose -47 - 1 = 3*y. Let b = -14 - y. Find s such that -8 - 13*s + 5*s + 37*s**2 - 39*s**b = 0.
-2
Suppose -17*i = 64 - 98. Let k(l) be the third derivative of 0*l + 3/100*l**6 - 2/25*l**5 + 0 - 11/60*l**4 - 2/15*l**3 + 4*l**i. Let k(c) = 0. Calculate c.
-1/3, 2
Let y(x) be the first derivative of 7*x**4/22 - 120*x**3/11 - 52*x**2/11 + 67. Find p, given that y(p) = 0.
-2/7, 0, 26
Let j(t) = -8*t**4 - 13*t**3 + 43*t**2 - 74*t. Let d(l) = -2*l**4 - 3*l**3 + 11*l**2 - 18*l. Let r(c) = 26*d(c) - 6*j(c). Factor r(h).
-4*h*(h - 2)*(h - 1)*(h + 3)
Let w(a) be the second derivative of 1/30*a**4 + 0*a**3 - 1/150*a**6 - 15*a + 0 + 0*a**2 - 1/100*a**5. Factor w(g).
-g**2*(g - 1)*(g + 2)/5
Let f(u) be the first derivative of -u**3/2 - 9*u**2/8 + 15*u/4 + 33. Factor f(o).
-3*(o - 1)*(2*o + 5)/4
Let o(l) be the second derivative of -l**3/6 - l**2/2 - l. Let h(w) = -2*w**2 - 6*w - 4. Suppose 134*x + 20 = 114*x. Let g(c) = x*h(c) + 4*o(c). Factor g(s).
2*s*(s + 1)
Let v = 2622/5 + -524. Factor -4/5*m**2 - v*m**3 + 8/5*m + 16/5.
-2*(m - 2)*(m + 2)**2/5
Let o = -10474 + 10476. Solve 2/3*k**o - 8/3 + 2/3*k**3 - 8/3*k = 0 for k.
-2, -1, 2
Let z(y) be the first derivative of -y**7/280 + y**6/120 + y**5/40 - y**4/8 - 5*y**3 - 23. Let f(c) be the third derivative of z(c). What is d in f(d) = 0?
-1, 1
Let q be (25 + 1)*(-16)/(-32). Let b(d) = -d**3 + 14*d**2 - 13*d. Let l be b(q). Factor 1/5 - 1/5*c**2 + l*c.
-(c - 1)*(c + 1)/5
Let w(s) be the third derivative of -s**5/12 - 2*s**4/3 - 2*s**3 + 312*s**2. Factor w(q).
-(q + 2)*(5*q + 6)
Let h = 1223/4 - 3449/12. Let u = -17 + h. Suppose -1/3*k**2 + u + 0*k = 0. Calculate k.
-2, 2
Let f(c) be the third derivative of -4/3*c**4 - 1/15*c**5 - 32/3*c**3 - 4*c**2 + 0*c + 0. Factor f(t).
-4*(t + 4)**2
Let p(f) be the second derivative of -5*f**7/42 - 7*f**6/6 + f**5/2 + 115*f**4/6 - 325*f**3/6 + 125*f**2/2 - 756*f. Factor p(d).
-5*(d - 1)**3*(d + 5)**2
Let h(c) be the third derivative of -1/24*c**4 + 0*c**6 + 0 + 0*c + 1/40*c**5 - 1/420*c**7 + 10*c**2 + 0*c**3. Let h(v) = 0. What is v?
-2, 0, 1
Suppose 0 = f - 2*l - 11, 148*f - 150*f + 5*l + 26 = 0. Factor -33/7*q - f*q**2 - 3/7*q**3 - 15/7.
-3*(q + 1)**2*(q + 5)/7
Let s(q) be the second derivative of 0*q**4 + 30*q - 3/10*q**5 + 0 + 0*q**2 + 0*q**3 - 1/15*q**6. Factor s(p).
-2*p**3*(p + 3)
Let o = -3/1039 + 1054/5195. Let p(i) be the second derivative of -4/3*i**3 + 0 + 0*i**2 + i**4 - o*i**5 + 9*i. Find f, given that p(f) = 0.
0, 1, 2
Let h(u) = u**3 - 4*u**2 - 5*u + 11. Let i be h(5). Suppose -4*w**3 - 15*w**2 + i + 5*w**4 + 9*w**3 - 5*w - 1 + 0*w**4 = 0. Calculate w.
-2, -1, 1
Let b(q) be the third derivative of -q**7/1680 + q**6/240 - q**5/80 + 13*q**4/24 - 12*q**2. Let z(o) be the second derivative of b(o). Factor z(i).
-3*(i - 1)**2/2
Factor 5*k**4 + 113335605 - 3437580*k - 1380*k**3 + 191923*k**2 - 49093*k**2 - 3132600*k.
5*(k - 69)**4
Let q be -6 - ((-2)/12 + (-73)/12). Let g be (-2)/(-3) + (-10)/24. Determine v so that g*v**2 - 1/4*v**3 - q + 1/4*v = 0.
-1, 1
Let p(u) = u**3 - 4*u**2 - 29*u - 15. Let c be p(8). Let l(v) be the first derivative of 0*v + 0*v**3 - 1/5*v**5 + 3/4*v**4 - c - 2*v**2. Factor l(d).
-d*(d - 2)**2*(d + 1)
Let t(r) be the first derivative of -r**6/6 - 3*r**5/5 + r**4/2 + 4*r**3 + 4*r**2 - 109. Determine c, given that t(c) = 0.
-2, -1, 0, 2
Let r be (-35 - -36)*(2 - 0). Let 2/3*b**r + 4/3*b + 0 = 0. Calculate b.
-2, 0
Let t(u) be the first derivative of -u**6/75 - u**5/10 - 4*u**4/15 - 4*u**3/15 - 2*u - 5. Let s(d) be the first derivative of t(d). Factor s(j).
-2*j*(j + 1)*(j + 2)**2/5
Let w(r) be the third derivative of r**5/140 + 29*r**4/28 + 841*r**3/14 + 2*r**2 + 161. Factor w(d).
3*(d + 29)**2/7
Let v be 32/(-14) + 14/49. Let q(j) = -j - 1. Let g be q(v). Let 11 - 4*n**2 + 12*n + 7*n**2 + g = 0. What is n?
-2
Determine t so that 3/7*t**2 - 24/7 + 6/7*t = 0.
-4, 2
Factor 2 - 2/7*t**3 + 10/7*t**2 + 26/7*t.
-2*(t - 7)*(t + 1)**2/7
Let h(c) be the first derivative of -3/7*c**2 - 1/14*c**4 + 11 - 2/7*c**3 - 2/7*c. What is j in h(j) = 0?
-1
Let t(b) be the second derivative of b**5/120 + b**4/4 - 19*b**3/36 + b - 3. Factor t(j).
j*(j - 1)*(j + 19)/6
Let t(y) be the second derivative of -12*y + 0 - 3/5*y**5 + 2/3*y**3 - 4*y**2 + 4/3*y**4. Factor t(s).
-4*(s - 1)**2*(3*s + 2)
Let d(p) = 228*p + 3421. Let a be d(-15). Find q such that 0*q**2 - 7/6*q + 1/6*q**3 - a = 0.
-2, -1, 3
Let b(w) = 6*w**2 - 15*w + 6. Let n(u) = -7*u**2 + 16*u - 5. Let h be (-6)/9 + (-116)/(-12). Let o be 1*12/h*3. Let k(q) = o*b(q) + 3*n(q). Factor k(g).
3*(g - 3)*(g - 1)
Let o(w) be the second derivative of -w**7/6 - 34*w**6/15 - 58*w**5/5 - 51*w**4/2 - 27*w**3/2 + 27*w**2 - 283*w. Suppose o(n) = 0. What is n?
-3, -1, 2/7
Let q(a) be the third derivative of a**5/60 + 7*a**4/24 + a**3 + 12*a**2. Let t(r) = -3*r**2 - 15*r - 12. Let j(c) = 7*q(c) + 3*t(c). Factor j(v).
-2*(v - 3)*(v + 1)
Let a(f) = f**3 - 4*f**2 + 2*f - 3. Let x be a(4). Let h be 2/(2 - 1/x*8). Let 1/5*s**h + 0 - 2/5*s**2 + 0*s**4 - 3/5*s**3 + 0*s = 0. Calculate s.
-1, 0, 2
Let n(p) be the second derivative of -p**6/30 - p**5/10 + p**4/6 - 11*p**2/2 - 2*p. Let w(x) be the first derivative of n(x). Factor w(b).
-2*b*(b + 2)*(2*b - 1)
Suppose w + 10 = 48*a - 43*a, -3*a = -2*w - 6. Factor w + 28/5*t**3 + 6/5*t**4 - 2*t**2 + 0*t.
2*t**2*(t + 5)*(3*t - 1)/5
Let h be 12 - (-77)/(462/(-72)). Solve -4/3*j + 2/3*j**2 + 2/3*j**3 + h = 0 for j.
-2, 0, 1
Let y = 4970 - 4968. Determine s so that -5/4*s + 17/8*s**y - s**3 + 1/8 = 0.
1/8, 1
Let n = -2/325 - -331/975. Let p(g) be the second derivative of 1/60*g**5 - 1/18*g**4 + 3*g - 1/18*g**3 + 0 + n*g**2. Find i such that p(i) = 0.
-1, 1, 2
Let s(l) be the third derivative of -l**8/3360 - l**7/180 - l**6/24 - 3*l**5/20 + l**4/4 - 2*l**2. Let w(y) be the second derivative of s(y). Factor w(r).
-2*(r + 1)*(r + 3)**2
Let -1 - 40*l**4 - 236*l**4 - 423*l**2 - 615*l**3 - 24*l**4 - 120*l - 11 = 0. Calculate l.
-1, -2/5, -1/4
Let v = -34 - -41. Solve -5*r**2 - v - 5 + 10*r + 3*r**2 = 0.
2, 3
Let i = -670 + 670. Factor 6/13*g**3 - 8/13*g + i*g**2 + 0 + 2/13*g**4.
2*g*(g - 1)*(g + 2)**2/13
Let s be 5*1*(-1344)/(-1120). Factor 7/2*p**2 + s*p - 2.
(p + 2)*(7*p - 2)/2
Factor -12*l**2 - 3002 + 8*l**2 - 8*l + 3062.
-4*(l - 3)*(l + 5)
Suppose -x - 4 = -2*x. Let d(j) = -j - 3. Let m be d(-3). Factor -x*s - s + m*s + s**4 - s**2 + s**3 + 4*s.
s*(s - 1)*(s + 1)**2
Let l(s) be the second derivative of s**6/10 + 3*s**5/5 - 5*s**4/4 - 60*s + 2. Find p, given that l(p) = 0.
-5, 0, 1
Let x(a) be the third derivative of a**7/70 + 3*a**6/10 + 3*a**5/2 + 7*a**4/2 + 9*a**3/2 + 62*a**2. Let x(b) = 0. Calculate b.
-9, -1
Suppose u - 5*r - 68 = -12, 2*u - 68 = -r. Let y be 2/(-8) + 81/u. Factor -5*j + 22*j - 48*j**y + 12*j**4 + 12*j + 3*j - 8*j**3.
4*j*(j - 2)*(j + 2)*(3*j - 2)
Let a(u) = -u + 4. Let g be a(0). Suppose 2*r - 7 = l, -g*l + 13 = r - 4. Factor -3*t**2 + 0*t**l + t + 3*t**2 - 2*t**2 + t**3.
t*(t - 1)**2
Let r = -1/1717 - -10309/12019. Factor 4/7 - r*l + 2/7*l**2.
2*(l - 2)*(l - 1)/7
Factor -20/7*a + 2/7*a**2 - 78/7.
2*(a - 13)*(a + 3)/7
Factor -1/5*k**4 + 47/5 + 48/5*k**3 - 48/5*k - 46/5*k**2.
-(k - 47)*(k - 1)**2*(k + 1)/5
Suppose 64 = 8*u - 456. Let m = -63 + u. Factor -2/3 - k - 1/3*k**m.
-(k + 1)*(k + 2)/3
Let t(p) be the third derivative of -p**5/150 - 5*p**4/6 - 125*p**3/3 - 97*p**2. Determine d so that t(d) = 0.
-25
Let z(t) be the second derivative of -5*t**6/156 + t**5/78 + 4*t**4/39 + 4*t**3/39 + t**2/2 - 13*t. Let g(d) be the first derivative of z(d). Factor g(c).
-2*(c - 1)*(5*c + 2)**2/13
Let t(x) be the third derivative of -x**5/140 - x**4/56 + 296*x**2. What is v in t(v) = 0?
-1, 0
Let w(h) be the third derivative of h**8/1680 + h**7/210 + h**6/