0*m**3 - 49 + 0*m + 0*m**2. Factor b(y).
-2*y**3*(y - 3)/13
Suppose -62*i + 4000 = -22*i. Factor 27*t**3 + 40*t**3 - i + 16*t**2 - 55*t**3 - 48*t + 20 + t**4.
(t - 2)*(t + 2)**2*(t + 10)
Let a(k) = 5*k + 1. Let b(m) be the second derivative of m**4/4 + 37*m**3/6 + 67*m**2 + 12*m + 2. Let f(o) = -a(o) - b(o). Solve f(l) = 0 for l.
-9, -5
Let k(y) = -78*y + 92. Let j be k(-5). Let l = j - 480. Solve -2/3*d**3 - 16/9*d - 8/9 + 22/9*d**l = 0.
-1/3, 2
Factor -b**4 - 52666*b**3 + 297*b**2 - 528*b - 2*b**4 + 52648*b**3 + 252.
-3*(b - 6)*(b - 1)**2*(b + 14)
Let d(u) = -8*u - 109. Let n be d(-14). Let -w - 5*w**3 + 6*w**n + 17*w**3 + 2*w**3 + 17*w - 4*w**4 - 32*w**2 = 0. Calculate w.
0, 1, 2
Let w(o) = 11 - 5*o**3 - 23*o**2 - 121 + 93*o**2 - 15*o. Let a(b) = 2*b**3 - 23*b**2 + 5*b + 36. Let k(d) = -10*a(d) - 3*w(d). Find q such that k(q) = 0.
-1, 2, 3
Suppose c + 3*q = 8*q - 1206, 0 = 3*c - 5*q + 3668. Let d = 1233 + c. Factor 0 + 0*p**d + 4/5*p**3 - 2/5*p + 0*p**4 - 2/5*p**5.
-2*p*(p - 1)**2*(p + 1)**2/5
Let g(w) be the first derivative of 1/46*w**4 + 134 - 1/23*w**2 - 32/69*w**3 + 32/23*w. Factor g(c).
2*(c - 16)*(c - 1)*(c + 1)/23
Let 3/2*i**2 - 948*i + 1893/2 = 0. What is i?
1, 631
Suppose 29 = 3*q - 3*a + 44, -q = -3*a + 19. Factor -10/11*o**3 + 2/11*o**5 + 2/11*o**4 + 0 + 0*o + 6/11*o**q.
2*o**2*(o - 1)**2*(o + 3)/11
Let n be 0 - (358/1 + 1 + -1). Let f = -354 - n. Factor 0*d + 0 + 2*d**3 + 8/5*d**2 + 2/5*d**f.
2*d**2*(d + 1)*(d + 4)/5
Suppose -58*y - 56055 = -56171. Find s such that -2/5*s**y - 6/5 + 8/5*s = 0.
1, 3
Let m be 8/(-10) - (-1 - (-133)/(-35)). Factor 10*b + 6*b + b + m*b**2 - b - 3618 + 3598.
4*(b - 1)*(b + 5)
Let r be 32/80 + (-104)/10. Let n(s) = 14*s**5 - 14*s**4 - 10*s**2 + 10*s + 10. Let f(d) = d**5 - d**4 - d**2 + d + 1. Let y(k) = r*f(k) + n(k). Factor y(q).
4*q**4*(q - 1)
Let y be -247*64/(-416) - 35. Determine h so that 1/3*h**y + 1/3*h**2 + 0 - 4*h = 0.
-4, 0, 3
Suppose 0 - 20/17*r**4 - 216/17*r + 42/17*r**3 + 72/17*r**2 + 2/17*r**5 = 0. Calculate r.
-2, 0, 3, 6
Let x(p) = 27*p**2 - 36*p + 5. Let y(u) = 5 - 8 + 24*u + 86*u**2 - 104*u**2. Let f(g) = -5*x(g) - 7*y(g). Solve f(v) = 0 for v.
2/3
Let p(j) = -7*j**2 - 37*j - 10. Let z be p(-5). Let s = 164 - 162. Factor 2/5*g**s - 4/5*g + z.
2*g*(g - 2)/5
Suppose 617 = -37*j + 617. Suppose 4/5 + j*l - 4/5*l**2 = 0. Calculate l.
-1, 1
Suppose 4*j = -s + 1655, -3067 + 997 = -5*j - s. Suppose -12 = 409*l - j*l. Suppose -272/5*a**l + 32/5*a**3 - 18/5 - 142/5*a = 0. What is a?
-1/4, 9
Let b = 34 + -36. Let m be 152/(-4)*(b/(-4) + -1). Let 11 + l**2 - 2*l + 9 - m = 0. What is l?
1
Let s(a) be the third derivative of a**6/160 - 7*a**5/80 - 85*a**4/32 + 91*a**3/8 - 964*a**2. Determine f, given that s(f) = 0.
-7, 1, 13
Let m(d) be the first derivative of d**7/504 - 13*d**6/1080 - d**5/60 - 5*d**3 - d + 253. Let p(b) be the third derivative of m(b). Factor p(v).
v*(v - 3)*(5*v + 2)/3
Let o(x) be the third derivative of 0 - x - 68*x**2 - 5*x**3 + 7/12*x**5 + 5/24*x**4. Factor o(h).
5*(h + 1)*(7*h - 6)
Let t(m) = -3*m**3 + 77*m**2 - 184*m + 4. Let h be t(23). Let j(v) be the second derivative of 1/15*v**h - 8/15*v**3 + 2*v + 0 - 2*v**2. Factor j(x).
4*(x - 5)*(x + 1)/5
Let c(g) = -14 + 1375*g - 1377*g + 3 - 3*g**2. Let m(t) = t - 2. Let p(x) = -c(x) + 4*m(x). Determine a so that p(a) = 0.
-1
Let q(i) = i**2 - 9752*i - 146503. Let j be q(-15). Solve -2/5*w**4 - 56/5*w + 4 + 33/5*w**j - 1/5*w**3 = 0 for w.
-5, 1/2, 2
Let s be (525 - 527)*(-48)/15. Let 2/5*k**2 - s - 6*k = 0. What is k?
-1, 16
Solve -1/2 - 1/2*t**2 + 5/4*t + t**4 - 1/4*t**5 - t**3 = 0 for t.
-1, 1, 2
Let q(j) be the first derivative of -16/3*j**2 + 64 + 4/9*j**3 + 20*j. Factor q(a).
4*(a - 5)*(a - 3)/3
Let h(o) be the third derivative of o**6/660 + 2*o**5/165 + o**4/44 + 59*o**2 - 14*o. Factor h(d).
2*d*(d + 1)*(d + 3)/11
Let r be 65/(-6) - 99/36*-4. Let a(y) be the second derivative of -y**2 - 7/4*y**4 - r*y**6 + 0 - 11/6*y**3 - 17/20*y**5 - 29*y. Factor a(g).
-(g + 1)**3*(5*g + 2)
Let p(h) = -2*h**2 - 34*h + 5. Let u be p(-17). Suppose u*k + 10 - 25 = 0. Suppose 5*v**3 - 27*v**2 - 18*v**2 - 14*v**k + 4*v**3 = 0. What is v?
-9, 0
Let t(a) = -249*a - 4229. Let b be t(-17). Let k(r) be the second derivative of -1/30*r**b + 0 + 2/5*r**2 + 1/15*r**3 + 15*r. Factor k(j).
-2*(j - 2)*(j + 1)/5
What is u in -155*u - 1/2*u**2 - 308 = 0?
-308, -2
Factor 1/4*z**3 - 9/2*z + 0 + 7/4*z**2.
z*(z - 2)*(z + 9)/4
Let i = -42 + 40. Let v be ((-3)/i)/((-18)/(-564)). Factor -5*l**5 + 20*l**2 - v*l**3 + 17*l**3 + 20*l**4 - 4*l - l.
-5*l*(l - 1)**4
Let a be (33 - 26) + -5 + (-160)/56 + 2. Factor a*m**3 + 1/7*m**4 + 0 + 17/7*m**2 + 10/7*m.
m*(m + 1)*(m + 2)*(m + 5)/7
Let r(f) = -f**3 - 2*f**2 - 2*f + 5. Let g be r(0). Suppose 5*x = -5*y + 139 + 346, 4*x - g*y - 361 = 0. Factor -4*p**2 + p + 3*p + x - 86.
-4*(p - 2)*(p + 1)
Let j(k) = -19*k**3 - 84*k**2 - 257*k + 426. Let i(y) = -22*y**3 - 83*y**2 - 257*y + 439. Let x(d) = -6*i(d) + 7*j(d). Suppose x(b) = 0. What is b?
-87, -4, 1
Let b(r) be the first derivative of -r**3/27 - 4*r**2/3 - 140*r/9 - 32. Factor b(o).
-(o + 10)*(o + 14)/9
Factor -101*c**3 + 733*c**3 - 9*c**4 + 7219454*c**2 - 7216966*c**2 - 592 + 2080*c.
-(c - 74)*(c + 2)**2*(9*c - 2)
Let v = 1679 - 21822/13. Let h(p) be the second derivative of v*p**4 - 3/91*p**7 - 3/13*p**3 - 25*p + 1/13*p**2 + 11/65*p**6 + 0 - 23/65*p**5. Factor h(b).
-2*(b - 1)**3*(3*b - 1)**2/13
Let m(x) be the first derivative of -3*x**5/25 - 9*x**4/4 + 16*x**3/5 + 3667. Solve m(o) = 0.
-16, 0, 1
Let q(n) be the first derivative of -2*n**3 - 1279*n**2 - 852*n + 1987. Factor q(j).
-2*(j + 426)*(3*j + 1)
Let x be 525*(1/(-2))/(4/(-8)). Factor -7 - 4 + 8*p**2 + 3 + x*p - 527*p + 2*p**3.
2*(p - 1)*(p + 1)*(p + 4)
Let 168/5 + 18/5*k**3 + 300*k**2 - 1006/5*k = 0. Calculate k.
-84, 1/3
Let u(i) be the first derivative of i**4/26 + 20*i**3/39 + 28*i**2/13 + 48*i/13 + 2626. What is l in u(l) = 0?
-6, -2
Suppose 765 - 769 = 13*b - 15*b. Factor 1/3*q**b + 0 + 1/3*q**3 - 2/3*q.
q*(q - 1)*(q + 2)/3
Suppose 0 = 15*t - 9*t - 24. Determine r, given that -11*r**4 - 2*r**t - 9*r**3 + 150*r**2 - 11*r**4 - 6*r**3 - 3*r**5 = 0.
-5, 0, 2
Suppose 5*l = 2*j + 74 + 308, 2*l - j = 153. Find n, given that -22*n**5 - l*n**5 + 4*n**2 - 270*n**4 + 53*n**3 + 78*n**4 - 143*n**3 = 0.
-1, 0, 2/49
Let l(n) be the second derivative of -n**7/210 - 2*n**6/25 + 21*n**5/50 - 11*n**4/15 + n**3/2 + 2741*n. Factor l(d).
-d*(d - 1)**3*(d + 15)/5
Let g(c) be the first derivative of 4/5*c**2 + 1/5*c**4 - 8/5*c + 7 + 14/15*c**3. Let g(y) = 0. Calculate y.
-2, 1/2
Let c = -6/14023 + 70151/84138. Solve c*h**2 + 145/3*h + 4205/6 = 0.
-29
Let k be (-62)/(-60) - (-622)/(-4665). Suppose k*b**2 + 0 - 1/10*b**3 + b = 0. Calculate b.
-1, 0, 10
Let c(o) be the second derivative of o**4/4 - 23*o**3 + 456*o**2 + 1569*o. Find f, given that c(f) = 0.
8, 38
Let r be 3/((-51)/2) - 2250/(-51). Let o = 44 - r. Determine v so that -2*v**4 + o*v**2 + 2*v**2 + 64 - 64 = 0.
-1, 0, 1
Factor 106/5 - 1/5*v**2 + 21*v.
-(v - 106)*(v + 1)/5
Let x(u) be the second derivative of u**7/420 + 13*u**6/80 + 5*u**5/8 + 37*u**4/48 + 89*u**2 + 82*u. Let v(n) be the first derivative of x(n). Factor v(d).
d*(d + 1)**2*(d + 37)/2
Let j be (-32)/72 - 44/(-18). Let -32 - 116*a**j - 20*a - 144*a - 16*a**3 - 32*a**2 = 0. What is a?
-8, -1, -1/4
Let u(r) = r**5 + 7*r**4 + 5*r**3 - 3*r**2 + 2*r - 4. Let o(d) = -d**4 - d**3 - d + 1. Let j(v) = -4*o(v) - u(v). Find k such that j(k) = 0.
-2, -1, 0, 1
Determine n so that -34*n**2 + 16*n + 10*n**2 + 60 + 25*n**2 = 0.
-10, -6
Let k(d) = 4*d**2 + 29*d + 41. Let f(c) = -4*c**2 - 28*c - 40. Suppose 34 + 1 = -7*g. Let n(o) = g*f(o) - 4*k(o). Let n(l) = 0. What is l?
-3
Suppose 38 = h - 5*c, 0*c + c + 100 = 3*h. Let i be (9/12)/(-5 + h/6). Solve -i - 3*j - 3/2*j**2 = 0 for j.
-1
Let a(q) = 6*q**2 - 360*q + 10443. Let g(s) = -5*s**2 + 358*s - 10443. Let m(c) = 2*a(c) + 3*g(c). Let m(x) = 0. What is x?
59
Let z(k) be the third derivative of 169*k**7/525 - 221*k**6/150 - 283*k**5/150 + 14*k**4/3 - 16*k**3/5 + 4729*k**2. What is o in z(o) = 0?
-1, 4/13, 3
Let x(h) be the first derivative of -h**4 + 56*h**3/3 + 448*h**2 + 1536*h + 7734. Solve x(o) = 0 for o.
-8, -2, 24
Let n = -810 + 816. Suppose -5*v - c - 3*c - 12 = 0,