*(p + 10)/4
Let i(v) be the second derivative of 3*v**7/56 - v**6 + 457*v**5/80 - 151*v**4/24 - 31*v**3/2 - 9*v**2 - 2*v + 70. Solve i(l) = 0.
-1/3, 2, 6
Let r(v) = -37*v**3 - 760*v**2 - 1191*v + 193. Let k(j) = -13*j**3 - 253*j**2 - 396*j + 64. Let m(f) = -13*k(f) + 4*r(f). Factor m(l).
3*(l + 2)*(l + 10)*(7*l - 1)
Suppose -75*l + 45 + 65 = -190. Let z(k) be the second derivative of 0 + 9/20*k**5 + 3/10*k**6 - 12*k + 0*k**3 + 0*k**2 + 1/4*k**l + 1/14*k**7. Factor z(m).
3*m**2*(m + 1)**3
Find a, given that 2349*a**2 + 48*a**3 - 53*a**3 - 2879*a**2 = 0.
-106, 0
Let f(c) = -c**3 + 123*c**2 + 2539*c + 22. Let p be f(-18). Factor 1/4*n**3 - 5/2*n - 7/4*n**2 + p.
(n - 8)*(n - 1)*(n + 2)/4
What is v in -336*v**2 + 128*v**2 + 204*v**2 + 80*v = 0?
0, 20
Let i(v) = -42*v**2 + 28*v + 66. Let q be i(-5). Let d = q + 1126. Let -2/9*p**d - 98/9 + 28/9*p = 0. What is p?
7
Let j = -82/234181 - 3276419483/19671204. Let o = j - -667/4. Solve 4/21*i - o*i**3 - 2/21*i**4 + 2/21*i**2 + 0 = 0 for i.
-2, -1, 0, 1
Let j(q) be the third derivative of -3/4*q**4 - 1/70*q**7 - 2/5*q**5 + 0*q + 0 + 65*q**2 + 3/20*q**6 + 9/2*q**3. Let j(z) = 0. What is z?
-1, 1, 3
Let h(p) be the third derivative of -p**5/390 - 17*p**4/3 - 3*p**2 + 119*p - 2. Let h(u) = 0. Calculate u.
-884, 0
Let z(a) = 3*a**2 - 5*a + 5. Let d be z(0). Suppose d*y - t + 683 - 702 = 0, -2*y = -t - 10. Determine v, given that 0 + 4/3*v**y - 4*v - 8/3*v**2 = 0.
-1, 0, 3
Let k(p) be the first derivative of -5*p**4/12 - 28*p**3/9 - 5*p**2/2 + 1126. Suppose k(n) = 0. What is n?
-5, -3/5, 0
Let y(t) be the second derivative of -t**5/100 - 2*t**4/5 + 18*t**3/5 - 56*t**2/5 - 772*t. Factor y(s).
-(s - 2)**2*(s + 28)/5
Let y = -5545973/3 - -1848707. Factor -y*p - 5476/3 - 1/3*p**2.
-(p + 74)**2/3
Factor -1862*j + 476*j**2 - 2182*j - 753 + 143*j**2 - 6*j**3 - 2495 + 619*j**2.
-2*(j - 203)*(j - 4)*(3*j + 2)
Factor 0 - 27*a**2 + 0*a - 27075/4*a**4 - 855*a**3.
-3*a**2*(95*a + 6)**2/4
Suppose -75*a**4 - 5*a**5 + 2*a - 19268*a**3 + 25*a**2 + 68*a + 50*a**2 + 19203*a**3 = 0. Calculate a.
-14, -1, 0, 1
Let g(h) be the second derivative of -2*h**6/315 + h**5/140 + 49*h**3/6 - 123*h. Let s(y) be the second derivative of g(y). Let s(b) = 0. What is b?
0, 3/8
Suppose 3 = -r + 5. Let n be r/7 + (-94)/(-14). Factor n + 2*h**3 + 6*h - 4*h**3 + 0*h - 3.
-2*(h - 2)*(h + 1)**2
Let h(r) be the third derivative of r**6/720 - 3*r**5/80 + r**4/6 + 49*r**3/3 + 131*r**2. Let y(j) be the first derivative of h(j). Find q, given that y(q) = 0.
1, 8
Let s(f) be the second derivative of f**5/4 + 125*f**4/12 - 65*f**3/3 - 108*f + 1. Factor s(d).
5*d*(d - 1)*(d + 26)
Solve -1306/3 - 655/3*d - 1/3*d**2 = 0 for d.
-653, -2
Let d be 3/(-1)*(-2969 - -2968). Suppose 0 + 500/7*t - 550/7*t**2 + 30*t**d + 2/7*t**5 - 34/7*t**4 = 0. What is t?
0, 2, 5
Let p(w) be the first derivative of -8/9*w**3 + 16/3*w**2 + 1/18*w**4 - 13*w - 16. Let o(r) be the first derivative of p(r). Factor o(s).
2*(s - 4)**2/3
Suppose 6 = 2*j, 3*j - 2 = 3*x + 1. Find f such that 75*f**4 - 1 + 69*f**x + 15 + 4*f**5 - 118*f + 5*f**5 + 7 + 3 + 181*f**3 = 0.
-4, -3, -2, 1/3
Let f be (-6)/15 - (-5)/25*727. Suppose -f*q = -139*q. Let 0 + q*s**2 + 1/5*s - 1/5*s**3 = 0. Calculate s.
-1, 0, 1
Suppose 0 = 4*w + 4*m - 12, 0 = -45*m + 49*m + 20. Let l be (15/(-30))/((-2)/w). Determine z, given that 2/9*z**4 + 4/3*z**3 + 0 + 16/9*z + 8/3*z**l = 0.
-2, 0
Let k(x) be the third derivative of x**7/504 - 5*x**6/144 + x**5/6 - 2*x**4/3 - 41*x**2. Let n(q) be the second derivative of k(q). Factor n(s).
5*(s - 4)*(s - 1)
Suppose 23*p - 185 - 591 = -256*p - 109*p. Solve -8/5*q - 4/5*q**p - 4/5 = 0 for q.
-1
Let j(u) be the first derivative of -3*u**2 + 3/2*u**4 + 0*u + 3/5*u**5 - u**3 - 11. Factor j(l).
3*l*(l - 1)*(l + 1)*(l + 2)
Let o be ((-33)/(-15) - 2)*-5. Let w be (-1*1*o)/((-1356)/(-1808)). Factor -4/3 - w*z + 8/3*z**2.
4*(z - 1)*(2*z + 1)/3
Let g(d) be the third derivative of -d**7/420 + 43*d**6/240 - 9*d**5/5 - 1417*d**4/12 - 1352*d**3/3 + 4558*d**2. Factor g(y).
-(y - 26)**2*(y + 1)*(y + 8)/2
Let m(b) be the third derivative of 0 + 0*b + 0*b**3 + 11/96*b**4 + 120*b**2 - 1/240*b**5. Let m(r) = 0. Calculate r.
0, 11
Let n(v) be the second derivative of -v**7/147 + 2*v**6/21 - 27*v**5/70 + 3*v**4/7 - 3*v + 665. Suppose n(p) = 0. Calculate p.
0, 1, 3, 6
Let p be (-2 - 8/6)/(8/(-12)). Let n = -7 - -9. Solve 1925*d**5 - 1923*d**p - d**3 - 2*d**4 - d**3 + n*d**2 = 0.
-1, 0, 1
Let v be ((-60)/25)/(-2 + (-6635)/(-7900)). Let u = v + -90/47. Factor -2/13*i**2 + 2/13 + 2/13*i - u*i**3.
-2*(i - 1)*(i + 1)**2/13
Let w(n) be the second derivative of 2*n**6/15 - 176*n**5/5 + 9694*n**4/3 - 114400*n**3 + 1901250*n**2 + 564*n. Let w(m) = 0. What is m?
13, 75
Let v(o) = 634*o + 20291. Let d be v(-32). Solve 0 + d*n**5 + 3/4*n**2 - 21/4*n**4 + 3/2*n**3 + 0*n = 0 for n.
-1/4, 0, 1
Let n be 49 - (1 + 0/(-2)). Let g(d) = 3*d**3 - 3*d**2 - d + 6. Let j be g(3). Factor -j + n*b + 19 - 4*b**2 - 106 + 0*b**2.
-4*(b - 6)**2
Let x(r) be the third derivative of -r**7/175 - 1009*r**6/100 + 1011*r**5/50 + 1009*r**4/20 - 202*r**3 - 4*r**2 - 2*r + 233. Determine f, given that x(f) = 0.
-1010, -1, 1
Let j = 132 + -120. Solve 2*d**2 - 101 - j*d + 337 - 104 - 114 = 0 for d.
3
Let r be ((-754)/130 + 6)/((-8)/(-10)). Let t(s) be the first derivative of -1/24*s**3 + 5 + 1/16*s**4 - r*s - 5/16*s**2. Factor t(h).
(h - 2)*(h + 1)*(2*h + 1)/8
Let q(v) = 46*v**2 - 10352*v + 1764208. Let o(y) = 9*y**2 - 2070*y + 352845. Let d(f) = -31*o(f) + 6*q(f). Factor d(i).
-3*(i - 343)**2
Let p(u) = -67*u + 1032. Let m be p(15). Suppose -7*o - m = -48. Factor 11/3*v**2 + 4/3 - 14/3*v - 5/6*v**o.
-(v - 2)**2*(5*v - 2)/6
Factor 11*p - 77 - p**2 + 104 - 45.
-(p - 9)*(p - 2)
Let u(x) be the first derivative of x**7/1820 - x**6/468 - x**5/195 + x**4/39 + x**3/3 + 7*x + 34. Let s(c) be the third derivative of u(c). Factor s(p).
2*(p - 2)*(p + 1)*(3*p - 2)/13
Factor 128/9*d + 8/3 - 10/9*d**3 + 38/9*d**2.
-2*(d - 6)*(d + 2)*(5*d + 1)/9
Let m(i) be the first derivative of 5/3*i**3 + 90*i - 45/2*i**2 + 93. Let m(c) = 0. Calculate c.
3, 6
Let u(f) be the second derivative of 28*f**7/3 + 112*f**6/5 - 31*f**5/10 - 311*f**4/6 - 55*f**3 - 25*f**2 + 709*f. Suppose u(j) = 0. Calculate j.
-1, -5/14, 1
Let b be ((-6)/(-2))/(-11 + 62116/5648). Let r = 1415 + b. Suppose 1/2*d - 1 - 1/2*d**r + 3/2*d**2 - 1/2*d**4 = 0. What is d?
-2, -1, 1
Let t = -397/22 - -204/11. Let w(p) be the first derivative of -t*p + 1/8*p**2 + 13 + 1/12*p**3. Find b, given that w(b) = 0.
-2, 1
Suppose -4*w = 2*i - 8, 5*i - 3*w + 5*w = 20. Suppose -2*q = -3*h - i*q + 4, 4*q + 4 = 0. Solve -36 + z - h*z**2 + 36 = 0.
0, 1/2
Let v = 328 - 90. Let s = v + -712/3. What is d in 8/3*d**3 - 2/3 - s*d**4 - 4*d**2 + 8/3*d = 0?
1
Let w be ((-41)/(-6))/(-1) + 31 + (-960)/40. Let d(b) be the third derivative of 0 + 11/3*b**3 + 0*b + w*b**4 + 1/330*b**5 + 44*b**2. Find s such that d(s) = 0.
-11
Let m(q) = 19*q**3 - 352*q**2 + 29929*q - 24. Let u(l) = 60*l**3 - 1057*l**2 + 89787*l - 76. Let s(z) = 19*m(z) - 6*u(z). Suppose s(x) = 0. Calculate x.
0, 173
Let x(i) be the second derivative of 5*i**7/42 + 61*i**6/3 + 1456*i**5 + 168560*i**4/3 + 3731840*i**3/3 + 15366400*i**2 + i - 109. Factor x(l).
5*(l + 10)*(l + 28)**4
Let b = 283346 - 283344. Factor 1/2*o**3 - 15/2*o**b - 54 + 36*o.
(o - 6)**2*(o - 3)/2
Let o be -6*(-1)/4*(-2)/(-1). Solve -62*b**3 - 3*b**4 + o*b - b**5 + 11*b**2 + 1 + 60*b**3 - 9*b**2 = 0 for b.
-1, 1
Let f(r) be the second derivative of r**4/3 + 1928*r**3/3 + 464648*r**2 + 15*r - 10. Factor f(p).
4*(p + 482)**2
Suppose -2*h = -3*n - 1, -h + 3*n + 3693 = 3694. Factor 0*b + 2/7*b**h - 8/7.
2*(b - 2)*(b + 2)/7
Determine m, given that -900 - 5*m**2 + 1118*m + 507*m - 3217*m + 687*m = 0.
-180, -1
Let s(q) = 3*q**5 - 15*q**4 + 7*q**3 + 26*q**2 - q - 1. Let j(t) = -2*t**3 - t**2 - t - 1. Let v(o) = j(o) - s(o). Solve v(d) = 0.
-1, 0, 3
What is h in -104/7*h - 1254/7 - 2/7*h**2 = 0?
-33, -19
Find i such that -2073/5*i**4 - 3597/5*i**2 + 72 - 1032*i**3 + 36/5*i**5 - 186/5*i = 0.
-1, -2/3, 1/4, 60
Let m be ((-4)/8 - -1)*194. Let f = m - 95. Find k, given that -3*k**f - 2*k**3 + k**3 - 2 + 2 = 0.
-3, 0
Let m = -577 - -380. Let g = m + 803/4. Let -5/4*x + g*x**2 + 5/4*x**3 - 5/4*x**4 - 5/2 = 0. What is