0 + 23*r**5/60 + 59*r**4/21 - 158*r**3/21 - 982*r**2. Find t such that y(t) = 0.
-158, -1, 1, 2
Let t = -304530 - -304532. Let r = 746/5 + -146. Let 2/5*z**t + r*z - 18/5 = 0. Calculate z.
-9, 1
Let z(p) be the third derivative of -p**5/6 + 265*p**4/72 + 5*p**3/2 - 311*p**2. Factor z(l).
-5*(l - 9)*(6*l + 1)/3
Let v be (-49)/(98/12)*(-4)/8. Find t, given that -1/3*t**5 + 5/3*t + 4/3*t**4 - 2/3*t**2 - 2/3 - 4/3*t**v = 0.
-1, 1, 2
Suppose -1932/11 + 310/11*l + 2/11*l**2 = 0. What is l?
-161, 6
Suppose 7*l = 56 - 21. Let f be (3/6)/(l/10)*15. Suppose 0*k**2 + 6*k + 6*k + 5*k**2 - f*k**2 - 2*k**3 = 0. Calculate k.
-6, 0, 1
Let b(a) be the first derivative of -a**4/10 + 458*a**3/15 - 13447*a**2/5 + 76614*a/5 - 6436. Solve b(g) = 0.
3, 113
Let j(t) be the second derivative of t**7/1680 + 17*t**6/60 + 289*t**5/5 + 13*t**4/4 - 32*t. Let f(l) be the third derivative of j(l). Factor f(x).
3*(x + 68)**2/2
Let i = 331 + -366. Let w(s) = 50*s**3 + 630*s**2 + 970*s + 425. Let r(o) = 3*o**3 + 37*o**2 + 57*o + 25. Let z(x) = i*r(x) + 2*w(x). Factor z(f).
-5*(f + 1)**2*(f + 5)
Factor 0 - 1/3*x**4 + 1/3*x**2 - 3*x**3 + 3*x.
-x*(x - 1)*(x + 1)*(x + 9)/3
Let j(n) be the first derivative of -64*n**3/3 - 194*n**2 - 24*n + 6064. Factor j(f).
-4*(f + 6)*(16*f + 1)
Let v = 3031/3 + -1008. Factor 1/3*f**5 + 5/3*f**4 + 0*f + v*f**3 + f**2 + 0.
f**2*(f + 1)**2*(f + 3)/3
Find k such that 34 - 1686*k + 841*k - 16*k**2 + 22 + 6*k**3 - 42*k**2 + 839*k + 2*k**4 = 0.
-7, -1, 1, 4
Let n(l) = 11*l**2 - 595*l - 594. Let g(z) = 20*z**2 - 1188*z - 1186. Let c(b) = -6*g(b) + 11*n(b). Factor c(h).
(h + 1)*(h + 582)
Let y be (-7)/((-735)/465) - 12/(-21). Let h(l) be the first derivative of 9/2*l**2 - 6*l + 0*l**y + 2*l**3 - 3*l**4 + 1/2*l**6 + 9. Factor h(m).
3*(m - 1)**3*(m + 1)*(m + 2)
Let b be 2/(3 + (-33)/12). Factor 9*q**4 + 12*q**2 - 21*q**4 + 0*q**3 + b*q**3 + 8*q**4.
-4*q**2*(q - 3)*(q + 1)
Let i(w) = -3*w**3 + w**2 - 3*w - 4. Let u be i(-1). Determine s so that 3*s**2 + 529 - 5*s**2 + u*s**2 - 1030*s + 984*s = 0.
23
Suppose 3*c = c - 10, 3*c + 15 = -2*f. Suppose 5 = 2*a - 5*s, a - 6*s + s = f. Find d, given that 7*d - 6*d + 12 + 7*d - a*d**2 + d**2 = 0.
-1, 3
Let c(o) be the second derivative of o**7/42 - 2*o**6/15 - o**5/5 + 11*o**4/6 + o**3/2 - 9*o**2 + 1647*o. Suppose c(i) = 0. Calculate i.
-2, -1, 1, 3
Let u = -8845 - -8845. Let l(w) be the second derivative of 0*w**2 + 3/10*w**5 - 1/2*w**4 + 7*w + u - 1/15*w**6 + 1/3*w**3. Find f such that l(f) = 0.
0, 1
Let x = 61836 + -556490/9. Factor x*d**3 + 0*d + 0 - 76/9*d**2 + 2/9*d**4.
2*d**2*(d - 2)*(d + 19)/9
Let x = 370614 + -370611. Suppose -2/7*h**x + 0 - 5/7*h**2 + 1/7*h**4 + 6/7*h = 0. Calculate h.
-2, 0, 1, 3
Let c(b) = 59*b**2 - 2439*b - 240013. Let n(t) = 9*t**2 - 406*t - 40002. Let m(l) = 6*c(l) - 39*n(l). Factor m(j).
3*(j + 200)**2
Let a(x) = -4*x**3 - 149*x**2 + 256*x - 85. Let u(o) = 150*o**2 + 85 + 87*o - 17*o + 5*o**3 - 325*o. Let i(j) = -5*a(j) - 6*u(j). Suppose i(d) = 0. What is d?
-17, 1/2, 1
Let o be -1*6 + 168/24. Determine q so that 5 - 9*q + 14*q - 10*q**2 + 4*q**4 + 2*q**3 + o - 7*q**3 = 0.
-1, -3/4, 1, 2
Solve 110170*j**4 - 110172*j**4 - 2426*j**2 + 130*j**3 - 4136 - 11544*j - 8032 + 18*j**3 = 0 for j.
-2, 39
Let g(o) be the first derivative of -3*o**5/5 - 93*o**4/4 - 304*o**3 - 1224*o**2 + 3456*o + 10385. Factor g(j).
-3*(j - 1)*(j + 8)*(j + 12)**2
Factor -39/7*f**2 - 12/7 - 18/7*f**3 - 36/7*f - 3/7*f**4.
-3*(f + 1)**2*(f + 2)**2/7
Let c be ((-3)/2)/(132/71456). Let h be (c/210)/((-7)/((-63)/(-6))). Factor -31/5*d - 9*d**2 - 8/5 - h*d**3 - 7/5*d**4.
-(d + 1)**3*(7*d + 8)/5
Let u be (2 - (-15)/(-6))/(3/(-30)). Let i be (-7)/u + 1 - (-47418)/70. Factor -2*a - 2 + i*a**2 - 678*a**2 - a.
-(a + 1)*(a + 2)
Find b such that -3/2*b**3 - 57 - 51/2*b + 30*b**2 = 0.
-1, 2, 19
Let q(n) = 805*n + 78087. Let u be q(-97). Determine d, given that 0 - 2/9*d**3 + 2/3*d**u + 8/9*d = 0.
-1, 0, 4
Let q(w) be the third derivative of 0 + 136/135*w**5 + 4/27*w**3 - 4*w**2 + 12*w - 16/135*w**6 - 65/108*w**4. Factor q(k).
-2*(k - 4)*(8*k - 1)**2/9
Let d be ((-18)/(-27))/((-3)/18). Let f be -7 + 2 + d + 57/6. Factor f*u**3 - 1/2*u + 1/4 - 1/4*u**4 + 0*u**2.
-(u - 1)**3*(u + 1)/4
Suppose -37*h = 415 - 2561. Factor -b**4 + 2487*b + 645*b - 918*b**2 - 31*b**2 - 1687 - 1229 + h*b**3.
-(b - 27)**2*(b - 2)**2
Suppose 8*g - 12*g + 256 = 0. Factor 66*a + g - 10*a**2 + 15*a**2 - 3*a**2.
2*(a + 1)*(a + 32)
Let x(y) = 17*y**3 - 3*y**2 + 2. Let n be x(1). Let u(r) = -r**3 + 18*r**2 - 33*r + 18. Let v be u(n). Factor 0 + 3/7*z**v + 1/7*z**3 + 2/7*z.
z*(z + 1)*(z + 2)/7
Let c(s) be the second derivative of s**6/20 - 27*s**5/20 + 65*s**4/8 - 694*s. Factor c(p).
3*p**2*(p - 13)*(p - 5)/2
Let h(x) be the third derivative of -x**6/60 + 4*x**5/15 + 4*x**4 + 17*x**2 + 103*x. Factor h(y).
-2*y*(y - 12)*(y + 4)
Let z(t) be the third derivative of -2*t**7/1155 + 31*t**6/660 - 37*t**5/110 - 20*t**4/33 + 64*t**3/33 - 69*t**2 - 7*t. Suppose z(l) = 0. Calculate l.
-1, 1/2, 8
Suppose 70*x - 40*x**3 - 8*x**2 + 2837*x**4 + 30*x**2 + 3*x**2 - 2832*x**4 = 0. Calculate x.
-1, 0, 2, 7
Let f(v) be the second derivative of 1 - 1/15*v**5 - 9*v + 1/3*v**4 - 8*v**2 + 8/9*v**3. Find y, given that f(y) = 0.
-2, 2, 3
Let s(p) be the third derivative of -p**5/15 + 10*p**4/3 - 128*p**3/3 - 6*p**2 - 15*p. Find m such that s(m) = 0.
4, 16
Suppose 2*b + 6 = -2*i, 5*i = -2*b - 13 - 8. Determine o, given that 3*o**b - 5*o + 8*o - 1172 + 2252 - 1140 = 0.
-5, 4
Find v such that 393*v + 74*v**2 - 423*v + 120 - 164 = 0.
-22/37, 1
Solve -4*v**2 - 1373*v - 2349675 - 1906*v - 2031*v + v**2 = 0.
-885
Suppose -12 = -2*q + 2*p, -2*p - 13 = -3*q + 1. Find m such that 60*m**q - 75*m - 8*m**2 - 8*m**2 - 7*m**3 + 18 = 0.
2/7, 3
Let n(y) be the first derivative of -y**4/18 - 40*y**3/9 - 116*y**2/9 + 72. Factor n(t).
-2*t*(t + 2)*(t + 58)/9
Let f(o) be the second derivative of 2*o - 6/5*o**5 + 2/15*o**6 + 8*o**2 - 3 + 13/3*o**4 - 8*o**3. Factor f(k).
4*(k - 2)**2*(k - 1)**2
Factor -6613 - 3*n**3 + 600*n**2 + 6563 - 30*n**3 - 495*n - 22*n**3.
-5*(n - 10)*(n - 1)*(11*n + 1)
Solve -16*g**3 + 0*g + 0 - 2/7*g**5 + 26/7*g**4 + 160/7*g**2 = 0 for g.
0, 4, 5
Let x(j) = -j**2 - 15*j + 9. Let z be x(-15). Let t be -3 - (-1 + 6/2 - z). Let 3672*f**3 - 1701*f**t - 116*f + 48 - 294*f + 122*f - 408*f**2 = 0. What is f?
-2/7, 2/9, 2
Let z(t) be the second derivative of -t**5/110 - 7*t**4/33 + t**3/33 + 14*t**2/11 - 347*t. Suppose z(g) = 0. Calculate g.
-14, -1, 1
Let q(h) = 4*h**3 + 4*h**2 + 4*h - 4. Let l(n) = 0*n + 20 - 5*n - 8*n**3 - 3*n**2 + 4*n**3 - 15. Let u(a) = 4*l(a) + 5*q(a). Factor u(f).
4*f**2*(f + 2)
Let x be (2492/(-280) - -7)/(143656/(-20520) + 7). Determine r, given that -x - 171/2*r - 3/4*r**2 = 0.
-57
Suppose 5*r + 89*d - 84*d = -35, 2*r - 4*d - 40 = 0. Solve -1/5*c**r + 8/5*c + 1/5*c**4 - 4/5 - c**3 + 1/5*c**5 = 0 for c.
-2, 1
Factor -1/3 + 169/6*x + 57/2*x**2.
(x + 1)*(171*x - 2)/6
Let n be ((66/54)/(-11))/(2/(-4)). Let x = 12350 - 111116/9. Let 128/9*o - 160/9*o**2 + 0 - n*o**4 + x*o**3 = 0. Calculate o.
0, 1, 8
Let w(l) be the first derivative of -3*l**5/5 + 51*l**4/2 + 71*l**3 + 54*l**2 - 1342. Factor w(u).
-3*u*(u - 36)*(u + 1)**2
Suppose -87*v + 90*v - 195 = 0. Determine x so that -2*x**2 + x**2 + v - 4*x**2 - 30*x - 30 = 0.
-7, 1
Let g(u) be the third derivative of 3 + u**2 + 17/14*u**4 - 20/21*u**3 - 1/21*u**5 + 0*u. Factor g(v).
-4*(v - 10)*(5*v - 1)/7
Factor -3/7*d**2 - 561/7 + 12*d.
-3*(d - 17)*(d - 11)/7
Factor 701 + 46*i**3 - 34*i + 707 - 346*i + 86*i**2 - 1360.
2*(i - 2)*(i + 4)*(23*i - 3)
Factor 8/5*a**4 + 2226870*a**2 + 2529352494/5*a + 16346/5*a**3 + 631642482/5.
2*(a + 681)**3*(4*a + 1)/5
Let a(b) be the third derivative of b**6/480 + b**5/120 - 29*b**4/96 + 7*b**3/4 - 103*b**2. Factor a(k).
(k - 3)*(k - 2)*(k + 7)/4
Let h(j) be the second derivative of -2/15*j**6 + 4/3*j**4 + 1/21*j**7 + 6 + 0*j**2 - 3/10*j**5 - 4/3*j**3 - 6*j. Factor h(l).
2*l*(l - 2)*(l - 1)**2*(l + 2)
Let s(a) be the second derivative of -67*a + 0*a**6 - 1/189*a**7 - 1/27*a**3 + 0 + 0*a**4 + 1/45*a**5 + 0*a**2. Find u such that s(u) = 0.
-1, 0, 1
Let l(b) = 3*b**2 - 43*b + 16. Let i be l(14). Factor 3*a**2 - 2*a**3 - a**5 + 3*a - 3*a**2 - 3*a**4 + 0*a**i + 2*a**2 + 1.
-(a - 1)*(a + 1)**4
Let w(s