2 = 0. Calculate d.
-3, -1, 3
Let j(q) = -2*q**2 - 425*q - 21980. Let i(z) = z - 14. Let v(m) = 5*i(m) + j(m). Solve v(f) = 0 for f.
-105
Let j(q) be the first derivative of q**3 + 36*q**2 + 357*q - 4353. Let j(m) = 0. Calculate m.
-17, -7
Suppose -2*y + 8 = -0*y. Let b be 3060/918 + 15/(-18). Factor -1/2*s**5 + 7/2*s + s**2 - b*s**y - 3*s**3 + 3/2.
-(s - 1)*(s + 1)**3*(s + 3)/2
Factor -8762043 - 3/4*v**2 + 5127*v.
-3*(v - 3418)**2/4
Let s(q) be the second derivative of 0 - 53*q - 1/6*q**3 + 0*q**2 + 1/180*q**6 - 5/72*q**4 + 1/60*q**5. Factor s(u).
u*(u - 2)*(u + 1)*(u + 3)/6
Let y(m) be the second derivative of 1/24*m**5 + 0*m**2 + 1/72*m**6 - 5/4*m**4 - 3*m**3 - 20*m + 0. Let k(d) be the second derivative of y(d). Factor k(o).
5*(o - 2)*(o + 3)
Let h(b) be the second derivative of -42 + 1/2*b**4 - 3/80*b**5 - 2*b**3 + 0*b**2 + b. Factor h(u).
-3*u*(u - 4)**2/4
Suppose -29*b - 11 - 11 = -40*b. Let g(v) be the first derivative of 6/5*v**5 + 0*v**3 + 30 - 3/4*v**4 + 0*v - 1/2*v**6 + 0*v**b. Find z, given that g(z) = 0.
0, 1
Let m = 3/404516 + 50563/202258. Determine w so that 25/4 - 6*w - m*w**2 = 0.
-25, 1
Let u(b) be the third derivative of -b**8/3584 + b**7/1680 + b**4/12 + 11*b**3/3 - 48*b**2. Let f(y) be the second derivative of u(y). Factor f(j).
-3*j**2*(5*j - 4)/8
Let l(h) be the third derivative of -5*h**7/14 - 191*h**6/6 + 833*h**5/12 + 125*h**4/12 - 260*h**3/3 - 37*h**2 + 9. Determine k so that l(k) = 0.
-52, -1/3, 2/5, 1
Find x, given that 0*x**2 - 2/9*x**4 + 2/9*x**5 + 0*x**3 + 0*x + 0 = 0.
0, 1
Factor 98/11*r + 2/11*r**3 + 56/11*r**2 - 156/11.
2*(r - 1)*(r + 3)*(r + 26)/11
Let n = 236641 - 1183133/5. Solve 14*d + 2/5*d**2 - n = 0 for d.
-36, 1
Factor 8056/9*w + 2/9*w**2 + 8112392/9.
2*(w + 2014)**2/9
Suppose -4*x - 2 - 6 = 2*f, 3*f + x = 3. Suppose 3*p = -5*j + 152, -2*j - 76 = -5*j + 2*p. Suppose j + 0*c**f - 32 - 6*c - 2*c**2 = 0. Calculate c.
-2, -1
Let r(x) = -4*x**2 - 18*x - 3. Let z(u) = -u. Let d(v) = v. Let o(w) = -4*d(w) - 3*z(w). Let k(a) = 10*o(a) - 2*r(a). Factor k(t).
2*(t + 3)*(4*t + 1)
Let s = 126112 - 126108. Factor -14/13*t - 4/13 - 2/13*t**s - 18/13*t**2 - 10/13*t**3.
-2*(t + 1)**3*(t + 2)/13
Let k = 2/18113 + 144630/2481481. Let r = 862/685 - k. Factor 0*v - 3/5*v**4 + 0 - 3/5*v**3 + r*v**2.
-3*v**2*(v - 1)*(v + 2)/5
Let a(n) be the third derivative of -17/3*n**3 + 3/2*n**4 - 1/30*n**5 + 0*n + 0 + 9*n**2. What is r in a(r) = 0?
1, 17
Let f(t) = -31634*t + 189804. Let o be f(6). Determine u, given that 0 + 0*u - 1/2*u**5 - 15*u**3 + o*u**2 + 31/2*u**4 = 0.
0, 1, 30
Let -616*j**2 - 4*j**3 - 2400 - 1154*j + 176*j - 586*j - 852*j = 0. Calculate j.
-150, -2
Determine r, given that -974 - 5*r**2 + 257 + 267 - 2160 - 1315*r = 0.
-261, -2
Let q(l) be the first derivative of 5/4*l + 76 + 1/2*l**2 - 1/12*l**3. What is b in q(b) = 0?
-1, 5
Let c(t) be the second derivative of -t**4/30 - 3*t**3 - 44*t**2/5 - 253*t. Factor c(r).
-2*(r + 1)*(r + 44)/5
Let 12 - 46/7*i**3 + 46/7*i - 82/7*i**2 - 2/7*i**4 = 0. What is i?
-21, -2, -1, 1
Let 2297/3*g**3 - 24 + 196*g - 1742/3*g**2 + 289/3*g**5 - 1360/3*g**4 = 0. What is g?
6/17, 1, 2
Factor 0 + 21/4*j + 5/4*j**3 + 19/2*j**2.
j*(j + 7)*(5*j + 3)/4
Suppose 0 = 7*y + 28 - 105. Let y*o**2 + 15*o**2 - 20*o - 8*o**2 + 15*o**3 - 18 + 5*o**3 = 0. Calculate o.
-1, -9/10, 1
Let a be 32/(-12)*(-15)/65. Factor -a*n + 2/13*n**2 - 10/13.
2*(n - 5)*(n + 1)/13
Let q = 2757 + -2757. Let l(y) be the third derivative of -2/3*y**3 + q - 1/4*y**4 + 2/5*y**5 + 0*y - 7/60*y**6 - 12*y**2. What is o in l(o) = 0?
-2/7, 1
Let -785/2 - 3135/4*t + 5/4*t**3 - 390*t**2 = 0. What is t?
-1, 314
Let b(a) be the second derivative of -a**6/90 + 11*a**5/30 + 16*a**4/9 - 1280*a**3/9 + 4573*a. Factor b(f).
-f*(f - 16)**2*(f + 10)/3
Let d be ((-6)/(-8))/(2/32). Suppose -3*c = c - d. Determine a, given that c*a**2 + 548 - 983 + 582 - 42*a = 0.
7
Let n be (-49)/3087*-42 + (-8)/(-6). Suppose 4/5*y**3 - 4/5*y + 0 - 8/5*y**n + 8/5*y**4 = 0. Calculate y.
-1, -1/2, 0, 1
Suppose j - 3*q - 7 = -j, 2 = -2*q. Factor -68*u - 3042 + 4*u**2 - 88*u + 3*u**j - 9*u**2.
-2*(u + 39)**2
Let u be ((-59)/4)/(2*2/(-176)). Suppose 5*d + 4*r = 7*r + 647, -r = -5*d + u. Factor 274*v + 3*v**3 - 56 - d*v + 164 + 39*v**2.
3*(v + 1)*(v + 6)**2
Let v(w) be the third derivative of w**6/420 + w**5/105 - w**4/12 + 4*w**3/21 - w**2 - 348*w. Find h such that v(h) = 0.
-4, 1
Let r(h) be the third derivative of 2250*h**3 + 0 + 7/30*h**7 - 675*h**4 + 0*h - 859/120*h**6 + 417/4*h**5 - 138*h**2 - 1/336*h**8. Factor r(x).
-(x - 15)**3*(x - 2)**2
Let s(j) = 5*j**2 - 64*j + 117. Let m be s(11). Suppose 218*r - 227*r = -m. Factor 3/4*v**r - 21/4*v - 6.
3*(v - 8)*(v + 1)/4
Suppose -4*k - 3*a = -15, 512*k = 513*k - 4*a + 1. Let b(d) be the second derivative of 0*d**2 + 0 + 1/2*d**4 + 0*d**k - 1/10*d**5 + 11*d. Factor b(c).
-2*c**2*(c - 3)
Let m(v) be the first derivative of v**4/4 + 7*v**3/3 + 6*v - 18. Let z be m(-5). Suppose -2*y**3 - z*y**2 - y**4 - 52*y**2 + 113*y**2 + 6*y**3 = 0. What is y?
-1, 0, 5
Let j = 372 - 353. Let w be j/17 - 1 - (-9 + 9). Find f, given that 0*f**4 + 0*f**2 + 2/17*f**5 + 0 - 4/17*f**3 + w*f = 0.
-1, 0, 1
Suppose 18/5*g**4 + 54856/5*g + 30894/5*g**3 + 14404*g**2 + 13712/5 = 0. What is g?
-1714, -1, -2/3
Let s be 2/(4/2 - 1). Suppose -8*t + 4*t + 4*i + 60 = 0, -15 = -s*t + 5*i. Find q, given that -30 - 6*q**4 + 5*q**3 + 30*q**2 - t*q + q**4 - 11 + 1 = 0.
-2, -1, 2
Let y = 179 - 179. Let m be 0/(-8) - -4 - 2/1. Factor 1/2*p**3 - 3/2*p**m + y*p + 2.
(p - 2)**2*(p + 1)/2
Determine c so that -8/5*c - 2/15*c**4 - 8/15*c**2 + 14/15*c**3 + 0 = 0.
-1, 0, 2, 6
Suppose 0 - 1/3*r**3 - 431/3*r**2 + 866/3*r = 0. What is r?
-433, 0, 2
Let k(l) be the third derivative of -l**5/15 - 109*l**4 + 225*l**2. Solve k(x) = 0 for x.
-654, 0
Suppose -46*l**2 + 150 + 19359*l - 45*l**3 + 136*l**2 - 19004*l - 10*l**4 = 0. Calculate l.
-5, -2, -1/2, 3
Find r, given that -11/5*r**3 - r**5 - 13/5*r**2 + 17/5*r**4 + 16/5*r - 4/5 = 0.
-1, 2/5, 1, 2
Find j such that -95*j**5 - 462*j**3 + 11*j**5 + 546*j - 1053*j**4 - 1139*j**2 + 72 + 2120*j**2 = 0.
-12, -1, -2/7, -1/4, 1
Let h(m) = 14*m - 229. Let c be h(14). Let z be 2 + (c/(-33) - (-23)/3). Factor 8*y**2 - 4/3*y**3 + 20*y + z.
-4*(y - 8)*(y + 1)**2/3
Let t(l) = l**3 - 32*l**2 + 175*l - 492. Let r be t(26). Factor -40/7*w + 0 - 4/7*w**r.
-4*w*(w + 10)/7
Suppose 2*r - 3492 = -4*h - 3496, 4*r = -2*h - 2. Factor -40/3 - 44*d + 4/3*d**5 + r*d**4 - 152/3*d**2 - 64/3*d**3.
4*(d - 5)*(d + 1)**3*(d + 2)/3
Let t be 94/(-16) - (679/56 + -12) - -8. Let p(f) be the first derivative of -2/57*f**3 - 3/19*f**t + 0*f + 26. Factor p(o).
-2*o*(o + 3)/19
Suppose y + 5*z = 5, 0 = -4*y + 4*z + 2 - 6. Let k(b) = 20*b. Let w be k(y). Suppose -2/9*g**3 + w - 2/3*g - 10/9*g**2 + 2/9*g**4 = 0. What is g?
-1, 0, 3
Let o(f) be the third derivative of 0*f**3 + 0*f - 11/630*f**7 - 5/9*f**4 - 1/1008*f**8 - 7/60*f**6 - 17/45*f**5 - 72 + 2*f**2. Let o(r) = 0. Calculate r.
-5, -2, 0
Let m(j) = 13*j**2 + 966*j - 1019. Let i(h) = 32*h**2 + 2416*h - 2544. Let g(r) = 5*i(r) - 12*m(r). Factor g(k).
4*(k - 1)*(k + 123)
Let n(u) be the second derivative of -10*u + 1/3*u**4 + 16/3*u**3 - 1 - 66*u**2. Factor n(a).
4*(a - 3)*(a + 11)
Factor 19881/7 - 3/7*r**3 - 7473/7*r + 291/7*r**2.
-3*(r - 47)**2*(r - 3)/7
Factor -19*x + 547*x - 7526*x**2 + 7522*x**2 + 49*x + 1975*x + 2556.
-4*(x - 639)*(x + 1)
Suppose 86*f**3 + 1178112*f + 4284*f**2 - 68*f**3 - 9121*f**2 - 4376*f**2 + 196608 = 0. What is f?
-1/6, 256
Let n(r) be the third derivative of 4*r - 1/105*r**5 + 1/420*r**6 + 3*r**2 - 1/21*r**4 + 8/21*r**3 + 0. Suppose n(v) = 0. Calculate v.
-2, 2
Let t(s) be the first derivative of -1/26*s**4 + 10/13*s**2 + 16/13*s + 2/39*s**3 + 90. Factor t(f).
-2*(f - 4)*(f + 1)*(f + 2)/13
Suppose 2*f - 32 - 10 = 0. Let o = 25 - f. Let 10*g**o - 21*g**4 + 14*g**4 - 4*g**2 - g**5 = 0. Calculate g.
-1, 0, 2
Suppose 203*w - 197*w - 300 = 0. What is s in -14*s + 6*s**2 + 14*s**3 - 10*s**4 - 42 + 96 - w = 0?
-1, 2/5, 1
Suppose -1072*i + 3*i**4 + 1774*i + 80*i**3 - 916 - 1746*i - 222*i**2 + 295 + 124*i**3 = 0. What is i?
-69, -1, 3
Let d(y) = -5*y**3 + 63*y**2 - 108*y - 487. Let w(a) = 5*a**3 - 64*a**2 + 109*a + 486. Let f = 177 + -180. Let v(q) = f*w(q) - 4*d(q). Factor v(s).
5*(s - 7)