168 - 2*t**2 + 19*t**2 + 54555 - 7*t**2 - 7*t**2 + 762*t = 0.
-127
Let t(r) = -r**3 + 18*r**2 - 25*r + 139. Let g be t(17). Suppose g*d + 5 = 5. Factor 1/9*x - 1/9*x**2 - 1/9*x**3 + 1/9*x**4 + d.
x*(x - 1)**2*(x + 1)/9
Suppose -u - 2*u - 5*r = -29, -3*u - 2*r + 17 = 0. Suppose u*b - 4 = b. Factor -8 - 7 - 14*y + 3*y**3 - y - 3*y**b + 6.
3*(y - 3)*(y + 1)**2
Let x(p) be the third derivative of 3*p**2 + 25*p - 25/12*p**4 + 1/12*p**5 - 20*p**3 + 0. Find s such that x(s) = 0.
-2, 12
Let d(t) = t + 11. Let s be d(-6). Suppose s*v + 23 - 553 = 0. Suppose 0 - v*l**2 - 2 + 108*l**2 = 0. What is l?
-1, 1
Let a(k) be the third derivative of k**8/112 - 3*k**7/5 + 513*k**6/40 - 361*k**5/5 - 1919*k**2. Factor a(c).
3*c**2*(c - 19)**2*(c - 4)
Let j(u) be the second derivative of -u**6/75 - u**5/20 + 2*u**4/5 - 7*u**3/30 - u**2 + 109*u - 4. Determine b, given that j(b) = 0.
-5, -1/2, 1, 2
Let x(b) be the second derivative of b**7/252 + 133*b**6/90 + 529*b**5/120 + 11*b**4/3 + 3049*b. Solve x(f) = 0.
-264, -1, 0
Suppose -25 + 60 = 7*i. Factor 18600*g + 2480 + 9587 + 4406 - 991 - 615*g**2 + 3738 + i*g**3.
5*(g - 62)**2*(g + 1)
Let y = -4027 + 20139/5. Determine s, given that -14/15*s - 2/15*s**2 - y = 0.
-6, -1
Let n = 373 - -987. Let 21*v**3 - n*v**4 + 200 - 65*v**2 + 2721*v**4 - 1362*v**4 + 60*v - 53*v**2 = 0. What is v?
-1, 2, 10
Let x(p) = 2*p**3 - 52*p**2 + 53*p - 65. Let g be x(25). Suppose -1088 = g*q - 18*q. Determine i so that -8/3 + q*i**3 - 20/3*i**2 - 76/3*i = 0.
-1/3, -2/17, 1/2
Let i be 15/((-10)/(-2)) - -4080. Suppose 4195*x**5 + 72*x + 8 + 44*x**2 - 25*x**4 - 164*x**3 - i*x**5 - 20*x - 27*x**4 = 0. Calculate x.
-1, -2/7, -1/4, 1
Let u be 8/(-3)*1038/(-1384). Let t(j) be the first derivative of 2/7*j**3 + 23 - 1/7*j**u + 0*j. Factor t(c).
2*c*(3*c - 1)/7
Suppose 6*t + t = 2058. Let q be (14/t)/(1/12). Determine c so that -39/7*c**4 - 57/7*c**2 + 24/7*c + 9/7*c**5 - q + 67/7*c**3 = 0.
2/3, 1
Let j(p) be the first derivative of -9/14*p**4 + 12/7*p - 18/7*p**2 + 56 + 3/35*p**5 + 13/7*p**3. Factor j(b).
3*(b - 2)**2*(b - 1)**2/7
Let m be 1/(-3) - (-170)/15. Suppose m*t - 32 = -5*t. Determine z, given that -2/5*z**t - 12/5*z + 0 = 0.
-6, 0
Determine i so that -471/5*i**4 - 9744/5*i - 11352/5*i**2 - 3*i**5 - 4416/5*i**3 - 2352/5 = 0.
-14, -2, -1, -2/5
Factor -7693 - 51*m + 7113 + 9*m**2 + 1352*m.
(m + 145)*(9*m - 4)
Let x(k) = 893*k + 49. Let i be x(8). Factor -i + 472*s - 4*s**2 + 4593 - 11324.
-4*(s - 59)**2
Suppose 0 = -59*j + 65*j - 18. Let 4*y**5 + 25*y**4 - 104*y**j - 125*y**4 + 108 - 112*y**3 - 8*y**2 + 212*y = 0. Calculate y.
-1, 1, 27
Let t = -34147 + 68297/2. Let l(b) be the first derivative of -26 - b**3 + 0*b - t*b**2. Factor l(m).
-3*m*(m + 1)
Let m(s) be the second derivative of s**6/1980 - 8*s**5/165 - 8*s**3/3 + 3*s**2/2 + 136*s. Let r(g) be the second derivative of m(g). Factor r(w).
2*w*(w - 32)/11
Suppose 5*l = 43 + 2. Let i(c) = c**2 - 8*c - 7. Let u be i(l). Factor 11*r**2 + 30*r - 8 + 24 + 6*r**u - 2*r**3 - 5*r**2.
-2*(r - 8)*(r + 1)**2
Factor 3*j**3 + 3135*j**2 + 946014 + 1130125*j - 309541*j - 128562.
3*(j + 1)*(j + 522)**2
Let y be 43 - (23 - -32 - 14). Solve -52/7*b**4 - 94/7*b - 20*b**3 - 24*b**y - 6/7*b**5 - 20/7 = 0.
-5, -1, -2/3
Find h such that 3/4*h**5 + 0*h + 0 + 69/4*h**3 - 33/4*h**2 - 39/4*h**4 = 0.
0, 1, 11
Let l(k) = -6*k + 224. Let g be l(37). Factor -387*r**2 + 5*r**3 + 33*r - 3*r + 1 - 1 + 352*r**g.
5*r*(r - 6)*(r - 1)
Let p(w) = -2*w**2 - 89*w + 64. Let a(x) = 26 + 57 + x**2 + 44*x + 43 + 51 - 210. Let d(f) = -9*a(f) - 4*p(f). Factor d(o).
-(o - 1)*(o + 41)
Let l(i) be the second derivative of i**6/10 - 132*i**5/5 - 767*i - 3. Factor l(u).
3*u**3*(u - 176)
Let g(k) be the third derivative of -k**6/30 - 13*k**5/15 - 17*k**4/3 + 32*k**3 - 2831*k**2. Factor g(r).
-4*(r - 1)*(r + 6)*(r + 8)
Suppose -20103*f + 154 = -20026*f. Suppose -8 - 1/3*h**f + 14/3*h = 0. What is h?
2, 12
Suppose -4*i - 7*i + 33 = 0. Suppose -524*a**3 - 3*a + a + 525*a**i + 0*a**2 - a**2 = 0. What is a?
-1, 0, 2
Let v = -191917 - -191917. Factor 3/4*w**3 + 0*w**2 - 9/4*w**4 + v*w + 0.
-3*w**3*(3*w - 1)/4
Solve 7124007/2*f**2 + 3/2*f**4 - 14303610*f + 14322150 + 4629*f**3 = 0 for f.
-1545, 2
Let w be 1 - (11368/144)/7. Let c = w + 65/6. Factor -10/9*h**2 + 1/9*h**5 - 1/9 + 10/9*h**3 + c*h - 5/9*h**4.
(h - 1)**5/9
Let o be 20/(-25) - (44/121 + 458/(-110)). Find y, given that -1/2*y - 3 + 3*y**2 + 1/2*y**o = 0.
-6, -1, 1
Let y(d) be the third derivative of 25/12*d**4 + 0*d + 0 - 76*d**2 - 13/3*d**3 - 11/30*d**5 - 1/60*d**6. Determine n so that y(n) = 0.
-13, 1
Let n be ((2702/(-665))/(-1))/21. Let d = n + -8/133. Solve 0*l - d*l**3 + 0*l**2 - 16/15*l**4 + 0 = 0 for l.
-1/8, 0
Let m(v) be the second derivative of -v**5/3 + v**4/3 + v**3/6 - v**2/3 + 1777*v. Factor m(l).
-(2*l - 1)**2*(5*l + 2)/3
Let d(i) = 46*i**2 - 52*i + 12. Let g(a) = 45*a**2 - 44*a + 15. Let u(b) = -5*d(b) + 4*g(b). Suppose u(m) = 0. Calculate m.
0, 42/25
Suppose 5*u = -2*w + 632 - 623, 4*w + 5*u - 13 = 0. Let m(f) be the second derivative of 0 + 5/12*f**3 + 7*f + 0*f**w + 1/24*f**4. Factor m(b).
b*(b + 5)/2
Let m(b) be the second derivative of -b**7/1260 + 4*b**6/135 + 44*b**3/3 + 168*b. Let s(i) be the second derivative of m(i). Factor s(c).
-2*c**2*(c - 16)/3
Let g(h) be the second derivative of 16/7*h**2 + 55*h - 1 + 0*h**3 - 1/42*h**4. Factor g(w).
-2*(w - 4)*(w + 4)/7
Let o(k) be the third derivative of -k**5/40 - 215*k**4/12 - 143*k**3/3 - k**2 - k + 51. Factor o(p).
-(p + 286)*(3*p + 2)/2
Let c be 2/27 - (-239777)/37314. Solve -1/2*f**2 - c*f - 15 = 0 for f.
-10, -3
Let z(f) be the first derivative of -47*f**4/6 + 278*f**3/9 + 2*f**2 + 269. Determine r so that z(r) = 0.
-2/47, 0, 3
Let z be 2 + 1 - (136/8 + -21). Let x(a) be the third derivative of 0*a**4 + 1/48*a**6 - 5*a**2 + 0*a**3 + 0*a + 0 + 0*a**5 - 1/84*a**z. Solve x(d) = 0.
0, 1
Let b(l) be the first derivative of -4*l**5/15 - 156*l**4 + 4*l**3/9 + 312*l**2 - 209. Find m such that b(m) = 0.
-468, -1, 0, 1
Let h(b) be the second derivative of -7*b**5/80 + 439*b**4/48 + 259*b**3/6 + 65*b**2/2 - 343*b + 4. Determine k so that h(k) = 0.
-2, -2/7, 65
Let a be 10 + -1 - (-4 + 8). Let q be (a - 2/1) + (0 - 1). Solve -4*f**q - 7*f + 4*f + f**3 + 6*f = 0 for f.
0, 1, 3
Let g(v) be the third derivative of v**7/560 + 29*v**6/64 + 57*v**5/32 - 145*v**4/64 - 143*v**3/8 - 3*v**2 - 2*v - 410. Solve g(x) = 0 for x.
-143, -2, -1, 1
Let g(j) be the first derivative of -7*j**6/51 + 1376*j**5/85 - 1106*j**4/17 + 5156*j**3/51 - 1237*j**2/17 + 380*j/17 + 2928. Find s such that g(s) = 0.
2/7, 1, 95
Suppose 20/3*o**3 + 134/3*o**2 + 1/3*o**4 + 75 + 340/3*o = 0. Calculate o.
-9, -5, -1
Let c(w) be the second derivative of 2401*w**5/4 - 14945*w**4/12 + 520*w**3 - 90*w**2 - 736*w + 2. What is b in c(b) = 0?
6/49, 1
Let h(p) be the third derivative of -p**5/20 + 13*p**4/8 - 11*p**3 + 51*p**2 - 1. Suppose h(l) = 0. Calculate l.
2, 11
Let r(s) = -4*s**4 - s**3 - 176*s**2 - 158*s + 7. Let i(p) = p**4 - 2*p**3 - p**2 - p - 1. Let t(j) = 7*i(j) + r(j). Let t(v) = 0. Calculate v.
-5, -1, 0, 11
Suppose 5*p + 2*f - 4 - 26 = 0, -5*p + 4*f = 0. Let w(d) be the first derivative of 9*d + 3*d**p - 21/4*d**2 + 8/5*d**5 + 31 - 31/6*d**3. Factor w(s).
(s + 1)*(s + 2)*(4*s - 3)**2/2
Let d be (-92)/1426 + (-358)/(-744). Let x(p) be the second derivative of 5/4*p**5 + 1/6*p**6 - 5/42*p**7 - 10*p**2 + 6*p + 0 - 20/3*p**3 - d*p**4. Factor x(i).
-5*(i - 2)**2*(i + 1)**3
Determine x so that 0 - 81/4*x**2 + 39/4*x + 45/4*x**3 - 3/4*x**4 = 0.
0, 1, 13
Let m be 2526/8 + 32/(-128). Let q = m - 1853/6. Factor 5*g**2 + 5/3*g**3 - 20 - q*g.
5*(g - 2)*(g + 2)*(g + 3)/3
Let t(m) be the first derivative of -m**3/21 + 47*m**2/7 - 2209*m/7 + 1993. Factor t(i).
-(i - 47)**2/7
Let w(i) be the first derivative of 6*i**5/5 - 63*i**4/4 + 34*i**3 + 198*i**2 - 216*i - 980. Suppose w(r) = 0. What is r?
-2, 1/2, 6
Let g = -547568 - -1095139/2. Solve -g*m**5 + 12*m - 3/2*m**2 - 6 - 21/2*m**3 + 15/2*m**4 = 0 for m.
-1, 1, 2
Let i(q) = 10*q**2 - 100*q + 243. Let v be i(4). Suppose 2/11*n**v + 8/11*n**2 + 0*n + 0 = 0. Calculate n.
-4, 0
Factor -27*x**2 + 368*x**3 - 386*x**3 + 8*x**4 - 11*x**4.
-3*x**2*(x + 3)**2
Let m(x) be the first derivative of 2*x**5/45 - 65*x**4/18 + 28*x**3/3