s s?
-84, -3, 0
Let j(x) be the first derivative of -x**4/20 - 4109*x**3/15 - 843783*x**2/2 + 844605*x - 2415. Solve j(i) = 0.
-2055, 1
Suppose -2*c - 2*h + 56 = 0, 1492*c - 1494*c + 70 = 4*h. Suppose c*s + 3/4*s**2 + 81/4 = 0. Calculate s.
-27, -1
Let c(q) = -q**2 - 3*q + 65536. Let d be c(0). Factor -d*f + 4*f**4 + 6144*f**2 - 233*f**3 - 23*f**3 + 240698 + 21446.
4*(f - 16)**4
Let p(y) be the third derivative of y**8/12 + 104*y**7/35 + 568*y**6/15 + 986*y**5/5 + 819*y**4/2 + 324*y**3 + 42*y**2 - 19. Find m such that p(m) = 0.
-9, -3, -1, -2/7
Let f = 284 + -306. Let m be -1 + (9 + -10 - f/5). Determine q so that -m*q - 2 - 2/5*q**2 = 0.
-5, -1
Let m(h) be the first derivative of -7*h**4/8 + 4409*h**3/3 - 693945*h**2 - 396900*h - 3688. Factor m(l).
-(l - 630)**2*(7*l + 2)/2
Let b = -111/203 + 1405/1827. Solve b*s**2 - 44/9 + 14/3*s = 0.
-22, 1
Let x = -319252 + 319252. Solve 0*y - 1/2*y**4 + 8*y**3 + 0*y**2 + x = 0.
0, 16
Let z = -6265 + 6273. Let k(n) be the second derivative of -10*n**2 + 0 + z*n - 5/12*n**4 - 25/6*n**3. Suppose k(h) = 0. What is h?
-4, -1
Let -472/7*j**2 + 76/7*j**4 - 318/7*j + 396/7 + 2/7*j**5 + 316/7*j**3 = 0. What is j?
-33, -6, -1, 1
Let w = 64865/2 + -453799/14. Find y, given that 2/7*y**2 + w*y + 2048/7 = 0.
-32
Factor 102 - 696*w + 60 + 253 + 175 + 102 + 4*w**2.
4*(w - 173)*(w - 1)
Factor 2/9*j**3 - 22/9*j + 0 - 20/9*j**2.
2*j*(j - 11)*(j + 1)/9
Let i be (-22)/(-26) + (-34)/(-221). Let g = 19 + -15. Factor -7 - 3*u**2 + i + 2*u**3 + g + 5*u**2 - 2*u.
2*(u - 1)*(u + 1)**2
Factor 0*c + 2/3*c**4 + 0 - 18*c**2 + 4*c**3.
2*c**2*(c - 3)*(c + 9)/3
Suppose -6509*l = -6858*l + 698. Factor 1/4*s**4 - 1/4*s**5 + 0 - 5/4*s**l + 3/4*s**3 + 1/2*s.
-s*(s - 1)**3*(s + 2)/4
Factor -46/7*d**2 - 60/7*d - 8/7*d**3 + 18/7.
-2*(d + 3)**2*(4*d - 1)/7
Let r(q) be the second derivative of q**6/90 - q**5/15 - q**4/36 + 2*q**3/9 + 71*q. Factor r(k).
k*(k - 4)*(k - 1)*(k + 1)/3
Let y(i) be the third derivative of -i**6/270 - 276*i**5/5 - 342792*i**4 - 1135327104*i**3 - 30*i**2 - 2*i + 1. Solve y(m) = 0.
-2484
Suppose -81 = -2*k - 83. Let y be (k + (-42)/6)*2/(-4). Factor 2*n**2 + 8*n**4 - 9*n**4 - n**3 + 0*n**y.
-n**2*(n - 1)*(n + 2)
Let t = 428 - 2988/7. Suppose -w - 9 = -6*w - 2*h, -27 = -5*w + 4*h. Let t + 2/7*c**4 - 24/7*c + 26/7*c**2 - 12/7*c**w = 0. What is c?
1, 2
Find s, given that 1198*s**2 + 129*s - 602*s**2 - 603*s**2 - 433*s - 1472 + s**3 = 0.
-8, 23
Solve 61*k**3 + 224*k**2 + 152*k + 50*k**3 + 50*k**3 - 216*k**3 + 49*k**3 = 0 for k.
-2/3, 0, 38
Let n = -4951/16 - -34737/112. Find g such that 1/7*g**2 + 3/7 + n*g - 1/7*g**3 = 0.
-1, 3
Let r(m) be the third derivative of -m**5/20 + m**4 + 90*m**3 + 1124*m**2. Solve r(j) = 0 for j.
-10, 18
Let k(a) be the second derivative of 1/48*a**4 - 3/2*a**2 - 7 + 5*a + 1/24*a**3. Factor k(r).
(r - 3)*(r + 4)/4
Let l(r) = 13*r - 335. Let c be l(26). Let p = -1769/2 - -886. Let 1/3*s + 0 + 2/3*s**4 - p*s**2 + 1/2*s**c = 0. Calculate s.
-2, 0, 1/4, 1
Let j(q) be the second derivative of q**6/15 + 109*q**5/5 + 4171*q**4/2 + 68476*q**3/3 + 56180*q**2 + 30*q - 158. Determine g so that j(g) = 0.
-106, -5, -1
Let x(p) = -p**3 - 4*p**2 + p + 6. Let j = -14 + 10. Let y be x(j). Solve 5*d**4 - 24*d**y + 101 + 32*d - 85 - d**3 - 7*d**3 = 0.
-2, -2/5, 2
Suppose -z + j = -8, 1172 - 1148 = -4*j. Factor -49/6*g**3 - 35/6*g**z + 13/6*g - 1/6.
-(g + 1)*(7*g - 1)**2/6
Let f(k) be the second derivative of -k**6/30 + k**4/6 + 36*k**2 + 5*k - 16. Let w(u) be the first derivative of f(u). Determine n, given that w(n) = 0.
-1, 0, 1
Let w(t) = t**2 - 64*t + 310. Let g be w(53). Let c be (26/g)/((-5)/35). Solve 0 + 2/3*b + c*b**3 + 5/3*b**2 = 0 for b.
-2, -1/2, 0
Let a = 2 + 0. Let -11*i + 145*i**2 - 49*i - 140*i**a = 0. What is i?
0, 12
Suppose 246 = 523*n - 81 - 719. Factor -2/9*m**n - 16/9*m - 8/3.
-2*(m + 2)*(m + 6)/9
Let v(c) be the first derivative of 2*c**6/3 + 2*c**5/5 - 15*c**4/2 - 12*c**3 + 1270. Determine i, given that v(i) = 0.
-2, -3/2, 0, 3
Let d = 51/4367 - -4061/26202. Find p, given that 1 + d*p**2 - 5/6*p = 0.
2, 3
Let l(p) be the third derivative of -p**5/20 + 1373*p**4/8 + 687*p**3 - 6117*p**2. Find o, given that l(o) = 0.
-1, 1374
Let h(d) be the first derivative of d**2 - 5/24*d**4 - 4/9*d**3 + 0*d + 1/30*d**5 - 141. Suppose h(x) = 0. Calculate x.
-2, 0, 1, 6
Let j(o) be the second derivative of -2*o + 141 - 16/21*o**2 - 10/63*o**3 - 1/126*o**4. Suppose j(s) = 0. Calculate s.
-8, -2
Let h be (-2 - -5)/(42/4270 + 0). Let u be (-732)/h*1/(-9). Suppose -u - 2/15*t**3 - 2/3*t - 8/15*t**2 = 0. What is t?
-2, -1
Suppose 4*u = -24*u - 644. Let l(r) = -r**2 - 27*r - 77. Let y be l(u). Factor y*g + 10 - 5/2*g**2 - 15/4*g**3.
-5*(g - 2)*(g + 2)*(3*g + 2)/4
Let i(m) be the first derivative of -m**4/12 - 187*m**3/9 + 3755. Let i(w) = 0. What is w?
-187, 0
Suppose 0 = 7*g + 7271 - 7166. Let j be 2/((-108)/g)*(-42)/(-70). What is x in -j - 1/3*x - 1/6*x**2 = 0?
-1
Suppose -2*s = 2*n - 26, 0 = -4*s - 80*n - 82*n + 173*n - 98. Suppose -16 = -u - 3*u. Factor 0*f**2 + 0*f + 0*f**s - 2/7*f**u + 0.
-2*f**4/7
Let f(g) be the first derivative of -2*g**3/51 - 450*g**2/17 - 101250*g/17 - 1976. Factor f(u).
-2*(u + 225)**2/17
Let d(k) be the second derivative of -8*k**7/21 + 134*k**6/15 - 47*k**5/5 - 16*k**4/3 - 5347*k - 2. Let d(c) = 0. What is c?
-1/4, 0, 1, 16
Let j(o) = 457*o + 1833. Let v be j(-4). Let y(a) be the third derivative of -13*a**2 - 1/4*a**v + 0 + 0*a**4 + 0*a - 1/24*a**6 + 10/3*a**3. Factor y(f).
-5*(f - 1)*(f + 2)**2
Let x(v) be the third derivative of v**5/630 + 47*v**4/84 + 278*v**3/63 - 160*v**2 + 3. Factor x(z).
2*(z + 2)*(z + 139)/21
Let r(u) be the third derivative of -u**5/210 - 323*u**4/42 - 104329*u**3/21 + 2187*u**2. Factor r(m).
-2*(m + 323)**2/7
Suppose 29*f = 24*f. Let j(n) = 3*n + 71. Let p be j(-23). Find d such that 25/3*d + f + 1/3*d**3 - 10/3*d**p = 0.
0, 5
Factor -205*u**3 + 249261*u**2 - 641*u**3 + 3*u**4 - 852*u - 250962*u**2.
3*u*(u - 284)*(u + 1)**2
Find h such that 3/4*h**4 - 13/2*h**3 + 13/2*h - 4 + 13/4*h**2 = 0.
-1, 2/3, 1, 8
Let o(s) be the first derivative of -2*s**3/3 - 154*s**2 + 624*s + 2371. Factor o(t).
-2*(t - 2)*(t + 156)
Let h be 0 + 5 + 0/2. Let g(i) = -61*i**2 + 48*i - 44*i + 65*i**2. Let l(d) = -7*d**2 - 7*d. Let u(c) = h*g(c) + 3*l(c). Factor u(z).
-z*(z + 1)
Let f(p) be the third derivative of p**5/360 - 5*p**4/72 + 4*p**3/9 + 315*p**2. Factor f(d).
(d - 8)*(d - 2)/6
Let l be 1*(-11 + 6)*2. Let y(d) = 2*d**4 - 10*d**3 + 22*d**2. Let u(p) = -p**2. Let m(o) = l*u(o) - y(o). Find f, given that m(f) = 0.
0, 2, 3
Let b(s) be the third derivative of -23/720*s**6 - 1/60*s**5 + 1/63*s**7 + 0*s**4 - 21*s**2 + 1/224*s**8 + 0 + 0*s + 0*s**3. Let b(c) = 0. Calculate c.
-3, -2/9, 0, 1
Let o(f) = -f**5 + f**4 - f**3 - f**2 + f + 1. Let l(p) = -8*p**5 + 10*p**4 + 32*p**3 - 46*p**2 + 6*p + 6. Let z(h) = -l(h) + 6*o(h). Factor z(v).
2*v**2*(v - 5)*(v - 1)*(v + 4)
Let c(k) = -k**2 + k - 1. Let z(f) = 21*f**2 - 1644*f - 3204. Let p(g) = -24*c(g) - z(g). Factor p(b).
3*(b + 2)*(b + 538)
Let j(t) be the second derivative of -161*t + 12*t**2 + 5/3*t**3 + 0 + 1/12*t**4. Suppose j(k) = 0. Calculate k.
-6, -4
Let q = 3147 + -3143. Let s(v) be the first derivative of 4/5*v**3 - 12/5*v**2 - 7 + 16/5*v - 1/10*v**q. Factor s(u).
-2*(u - 2)**3/5
Suppose -h - b = -868, -31*h + 11091 = 4*b - 15601. Factor -h*o - 121/5*o**3 - 200 - 4/5*o**4 - 246*o**2.
-(o + 10)**3*(4*o + 1)/5
Suppose 4*d + 3*a - 53 = 0, 4*a + 15927 - 15977 = 5*d. Factor 440/13*y**d + 4/13 - 86/13*y + 242/13*y**3.
2*(y + 2)*(11*y - 1)**2/13
Let q(u) be the second derivative of -u**4/20 + 118*u**3/5 + 1235*u. Solve q(v) = 0 for v.
0, 236
Let r = 31 - 22. Let v = 164 - 98. Find o, given that 2 + 12*o**2 - v*o**3 + r*o + 37*o**3 + 34*o**3 = 0.
-1, -2/5
Let u = 216 - 211. Find a, given that 10*a**3 + 19*a**3 - 2*a**4 - 5*a**2 - 20 - 40*a + 7*a**4 + 0*a**2 - 5*a**u - 4*a**3 = 0.
-1, 2
Let v(a) be the second derivative of a**5/110 - 15*a**4/11 + 425*a**3/33 + 7750*a. Let v(c) = 0. What is c?
0, 5, 85
Let m be 108/(-189)*4/(16/(-14)). Suppose -5*h - 14 = 3*g - h, g + 8 = -m*h. Factor 432/5 + 36/5*z**g + 2/5*z**3 + 216/5*z.
2*(z + 6)**3/5
Let v = 12/5345 + 10654/16035. Solve 16/3 + 14/3*n - 1/6*n**3 + v*n**2 = 0 for n.
-2, 8
Let -59