d(b).
-2*(b - 1)*(b + 1)*(b + 39)/19
Let d = 158 + -138. Factor d*b**3 - 32*b**4 + 23*b**2 + 17*b**2 - 18*b**4 + 15*b**5.
5*b**2*(b - 2)**2*(3*b + 2)
Let l(t) = 23*t**2 - 384*t - 7220. Let y(w) = 145*w**2 - 2305*w - 43320. Let s(j) = -25*l(j) + 4*y(j). Let s(h) = 0. Calculate h.
-38
Factor 18*q**4 - 24*q - 24 - 2*q + 10*q**5 - 7*q**5 + 4*q + 33*q**3 + 6*q**2 - 14*q.
3*(q - 1)*(q + 1)*(q + 2)**3
What is p in -39*p + 30*p**2 - 9*p + 144 - 74*p**2 - 2896*p**4 + 2900*p**4 + 8*p**3 = 0?
-3, 2
Let i = 75152/5 + -15028. Solve -12/5 - i*w + 3/5*w**3 + 3/5*w**2 = 0 for w.
-2, -1, 2
Suppose 0 = -31*j + 51*j - 40. What is o in 2/3*o**j + 2/3 + 4/3*o = 0?
-1
Let i(t) be the second derivative of -5*t**7/42 - t**6/3 + 3*t**5/4 + 5*t**4/3 - 10*t**3/3 - 345*t. Solve i(a) = 0 for a.
-2, 0, 1
Suppose 2*n - 16 = -4*d, -6*n + 3*n = d - 9. Let b be ((-6)/(-40))/((-204)/(-680)). Suppose 2*o - 3/2 - b*o**n = 0. What is o?
1, 3
Let f be 1 + 3/(-2) + (-1)/(-2). Find r such that -6/13*r**3 + 0 + f*r + 4/13*r**2 + 2/13*r**4 = 0.
0, 1, 2
Suppose -f = -2*t + 267, -2*t - 2*t - f = -549. Solve -12*z**2 + 6*z**2 - t*z - 1156 + 2*z**2 = 0 for z.
-17
Let f = -16 + 18. Suppose -4*j + f*h - 22 = -7*j, -4*j - 9 = -5*h. Determine u, given that -8*u**j + 13*u**3 - 5*u**3 + 2*u**5 - u**2 + u**2 = 0.
0, 2
Let f(c) be the first derivative of c**3/3 + 2*c**2 - 5*c + 6. Let h be f(-5). Factor q + 4*q**4 + h*q**4 - 4*q**2 - 3*q + 6*q - 4*q**3.
4*q*(q - 1)**2*(q + 1)
Let r(n) be the first derivative of -n**7/42 + n**6/15 - n**5/20 + 11*n + 15. Let j(o) be the first derivative of r(o). Let j(x) = 0. Calculate x.
0, 1
Let l(w) be the second derivative of w**6/120 - 27*w**5/80 + 65*w**4/16 - 169*w**3/24 + 102*w. Solve l(p) = 0.
0, 1, 13
Suppose -w = 4*w - 170. Let g be w/4 + (-9)/18. Solve 2*x**4 - 10*x - g*x**2 - 11*x + 21*x = 0.
-2, 0, 2
Let z(d) be the second derivative of -d**7/120 - d**6/48 + d**5/20 + 11*d**4/12 - 3*d. Let a(w) be the third derivative of z(w). Factor a(f).
-3*(f + 1)*(7*f - 2)
Let q(i) = -17*i**2 - 62*i - 32. Let z(y) = -4*y**2 - 15*y - 8. Let b(p) = -6*q(p) + 26*z(p). Factor b(a).
-2*(a + 1)*(a + 8)
Let s(f) be the third derivative of -49*f**7/30 - 441*f**6/40 - 567*f**5/20 - 243*f**4/8 - 51*f**2. What is c in s(c) = 0?
-9/7, 0
Let d(c) be the first derivative of c**3/4 + 43*c**2/8 - 15*c/2 - 44. Factor d(w).
(w + 15)*(3*w - 2)/4
Let v(q) be the first derivative of q**5/80 + 13*q**2/2 - 1. Let w(a) be the second derivative of v(a). Suppose w(i) = 0. What is i?
0
Let v(j) be the first derivative of j**3/15 + 21*j**2/10 + 54*j/5 + 523. Factor v(q).
(q + 3)*(q + 18)/5
Let m be ((-44)/33)/(-1 + 1/3). Let s(k) be the first derivative of 10 + 2/15*k**3 + 0*k**m - 2/5*k. Solve s(g) = 0.
-1, 1
Let o(v) be the second derivative of -169*v**6/10 + 5343*v**5/100 - 15*v**4/2 - 34*v**3/5 + 12*v**2/5 + 93*v. Suppose o(z) = 0. Calculate z.
-1/5, 2/13, 2
Let d(j) be the second derivative of -3/20*j**5 + 0 - 1/4*j**2 + 11/24*j**4 - 1/3*j**3 - 7*j. Find m, given that d(m) = 0.
-1/6, 1
Let o(r) be the first derivative of -5*r**4/36 - r**3/9 + 9*r - 5. Let j(x) be the first derivative of o(x). Let j(s) = 0. What is s?
-2/5, 0
Factor -290 + 2*p - 4*p**3 + 290 + 0*p**3 + 0*p**5 + 2*p**5.
2*p*(p - 1)**2*(p + 1)**2
Let b(l) be the third derivative of -l**8/312 + 16*l**7/1365 - l**6/195 - 7*l**5/195 + 11*l**4/156 - 2*l**3/39 + 191*l**2. What is f in b(f) = 0?
-1, 2/7, 1
Let h be -5 + 5 + (1 - -1). Factor -12*b**2 - 12*b + 2*b**2 + 2 - 6*b**h + 2.
-4*(b + 1)*(4*b - 1)
Let y(c) be the second derivative of -c**8/840 - c**7/210 - c**6/180 + 8*c**3/3 - 20*c. Let j(b) be the second derivative of y(b). Factor j(d).
-2*d**2*(d + 1)**2
Let y(n) = -6*n**5 - 9*n**4 + 6*n**3 + 102*n**2 + 156*n + 72. Let f(v) = v**5 - v**4 + v**3. Let z(q) = -3*f(q) - y(q). Factor z(p).
3*(p - 3)*(p + 1)*(p + 2)**3
Let l(r) = r**3 + 14*r**2 - 2*r + 13. Let k be l(-14). Let -k + 10*q + 21 + 8 - 2*q**2 = 0. What is q?
2, 3
Let o(x) be the second derivative of -x**5/10 - x**4 - 11*x**3/3 - 6*x**2 + 16*x + 1. Factor o(r).
-2*(r + 1)*(r + 2)*(r + 3)
Let o(i) be the second derivative of -i**4/18 + 2*i**3 + 2*i + 167. Suppose o(m) = 0. Calculate m.
0, 18
Determine v, given that 8 - 10 - 15 + 25*v + 110*v**2 - 105*v**2 - 13 = 0.
-6, 1
Factor 0*o**4 + 3874*o**3 - 103 + 168*o**2 + 3*o**4 - 68 - 3700*o**3 - 174*o.
3*(o - 1)*(o + 1)**2*(o + 57)
Let -15/2*y**3 + 51/2*y**2 - 53/2*y - 1/2*y**4 + 9 = 0. Calculate y.
-18, 1
Let n(t) be the third derivative of -t**7/1155 + 7*t**6/220 - 49*t**5/110 + 343*t**4/132 - 2*t**2 + 11. Factor n(v).
-2*v*(v - 7)**3/11
Let w be 2/(-9) + (-255)/(-54). Let p be (1/(-3))/(325/260*4/(-90)). Find d, given that -3*d**3 + w*d**2 + 6*d - 3/2*d**4 - p = 0.
-2, 1
Factor 7/5*i**4 + 3/5 - 18/5*i**3 - 1/5*i**5 + 22/5*i**2 - 13/5*i.
-(i - 3)*(i - 1)**4/5
Let f be 5/(-3)*(-8)/20. Let c be 50/1575*3/(12/56). Factor 2/9 - 2/9*n**5 + f*n - 2/3*n**4 + c*n**2 - 4/9*n**3.
-2*(n - 1)*(n + 1)**4/9
Suppose -44*o + 94 = -82. Let w(f) be the first derivative of 1 - 3/20*f**o + 0*f**2 + 0*f - 2/5*f**6 + 0*f**3 - 12/25*f**5. Let w(y) = 0. What is y?
-1/2, 0
Let x(w) be the third derivative of w**8/560 + w**7/280 - w**6/24 + 3*w**5/40 + 2*w**3 + 4*w**2. Let j(m) be the first derivative of x(m). Factor j(s).
3*s*(s - 1)**2*(s + 3)
Let t(d) be the second derivative of -d**4 + 10*d**3/3 + 16*d**2 - d + 4. Solve t(a) = 0.
-1, 8/3
Let t(p) be the second derivative of p**4/60 + 13*p**3/10 - 4*p**2 - 54*p. Find o such that t(o) = 0.
-40, 1
Let w be 144/720 - (-3)/((-90)/(-4)). Factor -w*l**3 - 2/3*l**2 + 0*l + 1/3*l**4 + 0.
l**2*(l - 2)*(l + 1)/3
Let t be (-110)/33 + 0 + (1 - 0). Let q = -5/3 - t. Suppose 2/3 + 2/3*j - 2/3*j**2 - q*j**3 = 0. What is j?
-1, 1
Let v(z) = -5*z**3 + 19*z**2 - 78*z + 87. Let f(s) = 4*s**3 - 20*s**2 + 78*s - 88. Let a(p) = -3*f(p) - 2*v(p). Factor a(t).
-2*(t - 5)*(t - 3)**2
Let m(w) be the first derivative of 2/25*w**5 - 1/10*w**4 + 0*w - 2/15*w**3 - 1 + 1/15*w**6 + 0*w**2. Let m(c) = 0. What is c?
-1, 0, 1
Let -162 - 1/2*l**2 - 18*l = 0. Calculate l.
-18
Let r(a) = -a**2 + 75*a - 74. Let k be r(1). Find g such that 4/5*g**3 - 4/5*g - 2/5*g**2 + k + 2/5*g**4 = 0.
-2, -1, 0, 1
Let x(h) be the first derivative of h**4/8 + 11*h**3/3 - 47*h**2/4 + 12*h + 61. Find n such that x(n) = 0.
-24, 1
Let c = -238042 + 5235179/22. Let l = 159/2 + c. Factor 0 - l*y**2 + 2/11*y.
-2*y*(y - 1)/11
Let l(z) be the first derivative of z**8/1680 - z**7/280 - z**6/180 + z**5/10 - z**4/3 - 13*z**3/3 - 2. Let j(n) be the third derivative of l(n). Factor j(s).
(s - 2)**2*(s - 1)*(s + 2)
Let w(n) be the second derivative of n**7/112 + 3*n**6/80 + 3*n**5/80 - n**4/16 - 3*n**3/16 - 3*n**2/16 - 6*n - 4. Factor w(v).
3*(v - 1)*(v + 1)**4/8
Let 18/7*g + 30/7*g**2 - 18/7*g**3 - 6/7*g**4 - 24/7 = 0. Calculate g.
-4, -1, 1
Let m be (-8)/(-10)*(-703)/(-2812). Let m*l + 2/5*l**2 + 1/5*l**5 - 1/5 - 1/5*l**4 - 2/5*l**3 = 0. Calculate l.
-1, 1
Suppose 45 = -0*n + 9*n. Factor 643*m**3 + 5*m**4 - 638*m**3 + m - m - n*m**5 - 5*m**2.
-5*m**2*(m - 1)**2*(m + 1)
Let v(w) be the third derivative of 7*w**4/8 - 3*w**3/2 + 4*w**2. Let c be v(4). Let -c + 6*t**4 - 6*t**2 + 75 + 2*t**5 - 5*t**5 + 3*t = 0. What is t?
-1, 0, 1
Let m(u) = -u**3 + 16*u**2 - 172*u + 2357. Let i be m(15). Solve 2*r - 14/11*r**i - 8/11 = 0.
4/7, 1
Let v(x) be the second derivative of 25*x - 3/110*x**5 - 1/33*x**4 + 0 + 1/77*x**7 + 0*x**2 + 2/165*x**6 + 0*x**3. Find j such that v(j) = 0.
-1, -2/3, 0, 1
Let w be (16/26)/(1104/2392). Solve 2/3*y**2 - w + 2/3*y = 0.
-2, 1
Let p(a) be the second derivative of a**6/900 - 7*a**5/300 + a**3/6 - 17*a. Let q(x) be the second derivative of p(x). Determine u so that q(u) = 0.
0, 7
Find q, given that 20 - 17*q - 4*q + 5*q**2 + 6*q - q - 9*q = 0.
1, 4
Let m(g) be the first derivative of -4*g**3/21 + 13*g**2/7 - 12*g/7 + 630. Factor m(n).
-2*(n - 6)*(2*n - 1)/7
Let l(c) be the third derivative of c**9/423360 + c**8/35280 + c**7/8820 - c**5/12 + 8*c**2. Let j(f) be the third derivative of l(f). Factor j(u).
u*(u + 2)**2/7
Suppose -9*x + 114 = 48*x. Factor -8/5*h**4 + 7/10*h**5 + 11/10*h**3 + 0*h + 0 - 1/5*h**x.
h**2*(h - 1)**2*(7*h - 2)/10
Determine o so that 100*o**4 + 106*o**4 - 4*o**3 - 198*o**4 - 8*o**2 + 4*o**5 = 0.
-2, -1, 0, 1
Let n = 1