x(p). Find r, given that j(r) = 0.
-108, 2
Let f(s) be the third derivative of -s**8/1680 + s**7/150 + 29*s**6/600 + 13*s**5/300 - 7*s**4/30 - 2*s**3/3 - 4145*s**2. Let f(x) = 0. What is x?
-2, -1, 1, 10
Suppose 37*u = 34*u - 15. Let m(i) = 4*i**3 + 35*i**2 + 117*i + 101. Let c(y) = y**2 - y - 1. Let n(l) = u*c(l) - m(l). Determine r, given that n(r) = 0.
-6, -2
Let q be -11 + (-299)/(-69)*3. Factor 2/13*y**3 + 98/13*y - 28/13*y**q + 0.
2*y*(y - 7)**2/13
Factor 276/17*y + 2/17*y**2 - 560/17.
2*(y - 2)*(y + 140)/17
Let h(z) = 7*z**2 + 4*z + 36. Let n be 20/(160/24)*5/(-3). Let i(d) = -9*d**2 - 3*d - 40. Let b(a) = n*h(a) - 4*i(a). Find g such that b(g) = 0.
-2, 10
Solve -1/8*t**3 + 49/8*t**2 + 101/8*t + 51/8 = 0.
-1, 51
Factor -1084*v**2 - v**4 + 24*v + 961*v**2 + 82*v**3 + 20 - 6*v**4 + 4*v.
-(v - 10)*(v - 1)**2*(7*v + 2)
Let p(m) = m**2 + 2*m - 24. Let y be p(6). Solve 32*d**4 - 4*d - 28*d**4 - y*d**4 + 25*d**5 + 20*d**2 - 21*d**3 = 0.
-1, 0, 2/5, 1
Let -72 + 3*q**2 - 2996*q - 2979*q + 6044*q = 0. What is q?
-24, 1
Let v(f) be the second derivative of f**7/42 + 47*f**6/30 + 779*f**5/20 + 5425*f**4/12 + 2516*f**3 + 5202*f**2 + 405*f. Let v(l) = 0. Calculate l.
-17, -6, -1
Determine r, given that 161 - 53*r**2 - 277 - 604 + 108*r**2 + 225*r - 50*r**2 = 0.
-48, 3
Let x(c) be the second derivative of -1/21*c**7 - 2/5*c**6 + 0*c**4 + 6*c**2 + c - c**5 + 94 + 11/3*c**3. Let x(m) = 0. Calculate m.
-3, -2, -1, 1
Let j be (-3*8/16)/((-3)/4). Suppose -8*q + j = -30. Find y such that 72*y**3 - 2*y - 76*y**3 + 2*y**5 + q*y = 0.
-1, 0, 1
Let n = -176 + 178. Factor 21 + 2*d**2 - 45 + 24 + n*d**4 - 4*d + 9*d**3 + d**2.
d*(d + 1)*(d + 4)*(2*d - 1)
Let m(x) be the first derivative of 34 + 0*x + 1/180*x**6 - 15*x**2 + 4/9*x**3 + 1/15*x**5 + 1/4*x**4. Let k(y) be the second derivative of m(y). Factor k(o).
2*(o + 1)**2*(o + 4)/3
Let n(w) be the third derivative of -3*w**6/160 - 61*w**5/20 - 79*w**4/32 + 81*w**3/4 - 178*w**2. Let n(m) = 0. What is m?
-81, -1, 2/3
Let f(b) be the second derivative of -161*b + 10/7*b**2 + 4/21*b**4 + 0 - 1/70*b**5 - 17/21*b**3. Factor f(g).
-2*(g - 5)*(g - 2)*(g - 1)/7
Suppose 8*n = 5*n + 171. Determine d, given that -9*d**5 + 117*d**3 + 784*d**2 - n*d**3 - 480*d**3 + 5*d**5 + 72*d**4 = 0.
0, 4, 7
Let d be ((-8)/(-14))/(22/847). Suppose d = 4*n + 6. Suppose -12*q + n*q + 6*q + 2*q**2 = 0. Calculate q.
0, 1
Let i(k) be the third derivative of -k**7/210 - 7*k**6/30 - 49*k**5/15 - 3074*k**2. Factor i(n).
-n**2*(n + 14)**2
Let t = 248888/3 - 2737672/33. Suppose 2/11*l**2 - t - 30/11*l = 0. Calculate l.
-1, 16
Let w(j) be the second derivative of j**6/300 - 161*j**5/200 - j**4/120 + 161*j**3/60 - 170*j - 7. Factor w(q).
q*(q - 161)*(q - 1)*(q + 1)/10
Let i(b) = 13*b + 112. Let x be i(-8). Let z be 8*(58/x - 7). Factor 0 - 9/4*h**3 - 15/4*h - 3/4*h**4 + 27/4*h**z.
-3*h*(h - 1)**2*(h + 5)/4
Let w be ((-23)/115)/((-132)/276) - -1*(-4)/(-22). Factor -24/5 - w*m**2 - 27/5*m.
-3*(m + 1)*(m + 8)/5
Let h(f) be the first derivative of -2/3*f**3 - 1/12*f**4 + 25 - 8*f - 3/2*f**2. Let c(n) be the first derivative of h(n). Factor c(t).
-(t + 1)*(t + 3)
Let k = -958/27 + 4808/135. Let 0 + 28/15*s + k*s**2 = 0. What is s?
-14, 0
Let x = 394777/4 + -98694. Factor -x*a**3 - 1 - 3/2*a**2 - 9/4*a.
-(a + 1)**2*(a + 4)/4
Let k(w) be the first derivative of 3*w**4/4 + 819*w**3 + 250920*w**2 - 504300*w - 1322. Factor k(s).
3*(s - 1)*(s + 410)**2
Let l be 7 - 45/((-855)/(-38)). Let p(c) be the third derivative of 5/6*c**4 + 0*c + 0 - 12*c**2 + 0*c**3 + 1/12*c**l. Factor p(h).
5*h*(h + 4)
Factor -173/3*m**2 - 1/3*m**3 + 2523 - 2465*m.
-(m - 1)*(m + 87)**2/3
Let r(v) be the third derivative of -1/48*v**6 + 0*v**4 - 1/12*v**5 + 0*v + 3*v**2 + 28 + 0*v**3. Find u, given that r(u) = 0.
-2, 0
Find i such that -438 + 50*i + 5*i**2 + 1081 - 538 = 0.
-7, -3
Suppose -14*p = -15*p - 3*r + 6, 5*p - 12 = 3*r. Let q(o) = o**2 - 5*o + 6. Let j be q(p). Factor 0*g + j - 5/3*g**3 - 5*g**2.
-5*g**2*(g + 3)/3
Let d(q) = -51*q**2 - 2184*q + 2172. Let c(u) = -12*u**2 - 546*u + 543. Let o(w) = 21*c(w) - 5*d(w). Solve o(m) = 0 for m.
1, 181
Let n(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**4 + 0 - 1/20*b**5 + 1/15*b**6 - 51*b - 1/42*b**7. Factor n(f).
-f**3*(f - 1)**2
Let h(g) be the first derivative of 0*g**2 + 0*g**4 + 3/40*g**5 - 1/8*g**3 + 67 + 0*g. Factor h(r).
3*r**2*(r - 1)*(r + 1)/8
Let k(j) be the third derivative of j**8/168 + 2*j**7/21 + j**6/4 - 7*j**5/3 - 55*j**4/3 - 56*j**3 - 492*j**2 - 1. Find g, given that k(g) = 0.
-7, -2, 3
Let h(l) be the second derivative of -l**5/20 - 25*l**4/6 + 19*l**3/2 + 153*l**2 - 2313*l. Find x, given that h(x) = 0.
-51, -2, 3
Let i(t) = -11*t**2 - 1301*t + 9648. Let v be i(-106). Factor 196/3*z**3 - 2/3*z**4 - 2112*z**2 + 21780*z + v.
-2*(z - 33)**3*(z + 1)/3
Let l(d) be the third derivative of d**8/1680 - d**7/210 + d**6/100 + d**5/150 - 7*d**4/120 + d**3/10 + 1025*d**2. Factor l(f).
(f - 3)*(f - 1)**3*(f + 1)/5
Factor 0*s + 8*s**4 - 16449*s**3 + 0*s + s**5 - 16424*s**3 + 32888*s**3.
s**3*(s + 3)*(s + 5)
Factor -225/2*i - 5/6*i**2 + 1750/3.
-5*(i - 5)*(i + 140)/6
Let s be (-2 + 58/(-3))*3651/(-14604). Factor -s*p + 2/3*p**2 + 10.
2*(p - 5)*(p - 3)/3
Let z be (-44)/24*8*-15. Let p = z - 148. Find r, given that 63*r**3 - 133 + p*r - 120 + 123*r**2 + 265 = 0.
-1, -2/3, -2/7
Let o(t) = 6*t**2 - 75*t - 52. Let b(v) = -4*v**2 + 50*v + 35. Let c(q) = -7*b(q) - 5*o(q). Let f be c(13). What is h in 663*h**2 - 1 - 8 - 15*h - 669*h**f = 0?
-3/2, -1
Let y = -1071099/50 + 21422. Let m(u) be the third derivative of -y*u**6 - 3/25*u**5 + 0*u**4 + 0 - 5*u + 0*u**3 - 1/1050*u**7 - 8*u**2. Factor m(q).
-q**2*(q + 6)**2/5
Let q(i) = i**4 - 5*i**3 + 3*i - 2. Let w = 2 + -4. Let d(l) = l + 470*l**3 - 2*l**4 + 467*l**3 + 3*l**4 - 936*l**3. Let k(u) = w*q(u) - 2*d(u). Factor k(t).
-4*(t - 1)**3*(t + 1)
Let w(u) be the third derivative of 8*u**2 - 2*u - 1/120*u**6 + 0 + 0*u**4 + 0*u**3 + 0*u**5 + 1/2100*u**7. Let w(b) = 0. What is b?
0, 10
Let n = 823 - 472. Factor -91*d - 233 - 36*d**2 + n*d + 177.
-4*(d - 7)*(9*d - 2)
Factor 2444/7*h + 1493284/7 + 1/7*h**2.
(h + 1222)**2/7
Suppose -15 = -158*d + 157*d. Let z(i) = i**3 - 15*i**2 + 5*i - 21. Let v be z(d). Let 12*g**2 - 62*g**3 + 28*g**3 - 48*g + v*g**3 + 16 = 0. Calculate g.
-2, 2/5, 1
Determine r, given that -1/2*r**2 + 3 - 1/2*r = 0.
-3, 2
Let b(x) be the first derivative of 1/2*x**2 + 0*x**3 + 0*x**4 + 0*x - 1/660*x**6 + 1/330*x**5 + 3. Let g(f) be the second derivative of b(f). Factor g(i).
-2*i**2*(i - 1)/11
Suppose -8 = 4*c + 5*n + 4, 2*n + 8 = 0. Let x = -18 + 21. What is q in 10*q**4 - 5*q**5 + 2*q**3 + 5*q**x - 2*q**3 - 10*q**c = 0?
-1, 0, 1, 2
Let r be 1/6*(68/8 - 7). Let p be (-18)/60*(-10)/12. Determine y, given that -r*y**5 + 0 + 3/4*y**3 - 1/4*y**4 + p*y**2 - 1/2*y = 0.
-2, -1, 0, 1
Let q(x) be the first derivative of -2*x**3/39 - 284*x**2 - 524264*x + 5912. Factor q(z).
-2*(z + 1846)**2/13
Suppose -41*q + 148*q = 0. Let w(t) be the second derivative of 0*t**2 + q + 1/72*t**4 + 1/36*t**3 - 28*t. Find b such that w(b) = 0.
-1, 0
Let l(t) = t**2 - 28*t + 151. Let n be l(29). Let b = n + -359/2. Factor -1/2 - b*f**2 + f.
-(f - 1)**2/2
Let y(f) = 2*f**4 + 3*f**3 - f**2 + f + 1. Let b(p) = -8*p**4 - 4*p**3 + 2*p**2 - 8*p. Let k(g) = b(g) + 3*y(g). Solve k(j) = 0.
-1, 1, 3/2
Let s(v) be the second derivative of v**4/24 - 7*v**3/3 + 13*v**2 + 261*v. Factor s(h).
(h - 26)*(h - 2)/2
Let h(x) be the third derivative of x**6/24 + 13*x**5/6 + 185*x**4/8 + 105*x**3 + 2015*x**2. Factor h(s).
5*(s + 2)*(s + 3)*(s + 21)
Suppose -178/9*j + 116/3*j**2 - 158/9*j**3 - 28/9 + 16/9*j**4 = 0. What is j?
-1/8, 1, 2, 7
Let u(n) be the second derivative of -n**7/399 - 2*n**6/19 + 467*n**5/190 - 252*n**4/19 + 92*n**3/3 - 672*n**2/19 + n - 72. Solve u(d) = 0.
-42, 1, 2, 8
Let u(v) be the second derivative of -31*v**4/78 - 653*v**3/39 - 42*v**2/13 - 438*v - 7. Factor u(i).
-2*(i + 21)*(31*i + 2)/13
Let d be 12/(-222) + 12/2664*974 + -1. Find p, given that 2/3*p**3 - 4*p**2 + 0 + d*p = 0.
0, 1, 5
Let n(h) = h**3 + 10*h + 2. Let t be n(0). Factor q**t + q**2 + 2914 - 2032 - 84*q.
2*(q - 21)**2
Suppose -32*k + 3 = -61. Solve -7*t - 52*t**3 + 0*t**k - 5*t**2 - 2 + 51*t**3 - 1 = 0 for t.
-3, -1
Factor -1238/5*f -