11*x**2 + 16/11*x**4 + 0 - 46/11*x**3 + 32/11*x**5 + 18/11*x = 0. Calculate x.
-1, 0, 3/4
Let l be 8/(-20)*(-48)/24. Let -4/5*j**4 + l*j**3 - 2/5*j - 4/5 - 2/5*j**5 + 8/5*j**2 = 0. Calculate j.
-2, -1, 1
Let k = 7907/1665 + 17/333. Factor 72/5 + 2/5*g**2 - k*g.
2*(g - 6)**2/5
Factor 170 + 60*r - 5*r**2 + 113*r - 8*r.
-5*(r - 34)*(r + 1)
Let u = 284 + -280. Let p(w) be the second derivative of -5/3*w**3 - 2/5*w**5 + 2*w**2 - 11/6*w**u + 0 - w. Factor p(t).
-2*(t + 1)*(t + 2)*(4*t - 1)
Factor -1/3*d**2 + 3*d + 10/3.
-(d - 10)*(d + 1)/3
Let x be (2/52)/(-1*2/(-24)*3). Factor 8/13 - 6/13*f - x*f**2.
-2*(f - 1)*(f + 4)/13
Let k = 172 + -32. Let s = k - 140. Factor 0 - 1/6*m**3 + s*m - 1/6*m**2.
-m**2*(m + 1)/6
Suppose 2*d - 11 = z, 8*d - 17 = 3*d + z. What is t in 2/11 - 2/11*t**d + 0*t = 0?
-1, 1
Let m be ((-45)/18)/((-14)/4). Factor 1/7*v**3 + 8/7*v - 4/7 - m*v**2.
(v - 2)**2*(v - 1)/7
Let r be -8*(2 - 348/16). Factor -7 - r*n**2 + 20*n - 1 - 20*n**3 + 166*n**2.
-4*(n - 1)*(n + 1)*(5*n - 2)
Factor 0 + 1/2*c**4 + 3*c + 4*c**3 + 13/2*c**2.
c*(c + 1)**2*(c + 6)/2
Let n = -13 + 15. Determine m so that 2*m - m**4 + 8*m**2 - 8*m**n + 1 - 2*m**3 = 0.
-1, 1
Let y(t) be the second derivative of 0 + 0*t**2 + 0*t**3 - 3/40*t**5 - 1/12*t**4 - 1/60*t**6 - 2*t. Let y(q) = 0. What is q?
-2, -1, 0
Let h(n) be the third derivative of n**6/2700 + n**5/90 + 5*n**4/36 + 13*n**3/6 - 12*n**2. Let q(m) be the first derivative of h(m). Factor q(o).
2*(o + 5)**2/15
Let l(k) = 13*k**3 + 608*k**2 - 207*k - 388. Let n(o) = -o**3 + 14*o**2 - o + 1. Let r(s) = -l(s) + 2*n(s). Solve r(z) = 0 for z.
-39, -2/3, 1
Let a(s) be the first derivative of s**7/7560 + s**6/3240 - 13*s**3/3 - 10. Let l(t) be the third derivative of a(t). Determine w, given that l(w) = 0.
-1, 0
Factor -24/11*z - 128/11 + 2/11*z**2.
2*(z - 16)*(z + 4)/11
Find m such that -6 + 4/3*m**2 + m - 1/3*m**3 = 0.
-2, 3
Let n(r) be the first derivative of -r**6/15 - 27*r**5/25 - 23*r**4/5 - 33*r**3/5 + 2*r**2/5 + 36*r/5 + 637. Let n(q) = 0. Calculate q.
-9, -2, -1, 1/2
Let q(f) be the second derivative of 8*f**5/25 - 44*f**4/15 - 47*f**3/15 - 6*f**2/5 - 67*f + 1. Solve q(p) = 0.
-1/4, 6
Let c(l) be the first derivative of -45/2*l**2 + 6 - 15/4*l**4 + 10*l + 50/3*l**3. Factor c(f).
-5*(f - 2)*(f - 1)*(3*f - 1)
Suppose 0 = -4*c - 12, -24*u - 4*c = -27*u + 24. Let 3*x + 1/2*x**2 + u = 0. Calculate x.
-4, -2
Let y be 12 + (0 - -4)/(-4) - 7. Determine a so that 2/13*a**y + 8/13*a**3 + 0 + 0*a + 8/13*a**2 = 0.
-2, 0
Let z be (2 - 7 - -3)/(1/(-3)). Let k(s) be the third derivative of 0 - 1/5*s**z + 0*s + 1/2*s**3 + 3*s**2 + 5/8*s**4 + 1/10*s**5. Let k(g) = 0. What is g?
-1/2, -1/4, 1
Let a(k) be the first derivative of 0*k + 3/25*k**5 + 6 + 0*k**2 + 3/10*k**4 + 0*k**3. Suppose a(o) = 0. Calculate o.
-2, 0
Let l(v) = -3*v - 21. Let i be l(-12). Factor i*c**2 - c**4 + 3*c - c - 14*c**2 - 2*c**3.
-c*(c - 1)*(c + 1)*(c + 2)
Let c(w) be the third derivative of w**9/68040 - w**7/1890 - w**6/405 - w**5/180 + w**4/3 + 15*w**2. Let u(o) be the second derivative of c(o). Factor u(m).
2*(m - 3)*(m + 1)**3/9
Suppose -3*h + 70 = -0*h - 2*r, 0 = 3*h - 3*r - 72. Suppose -h*s**2 - 4 - 29*s**2 + 53*s**2 + 2*s = 0. What is s?
-2, 1
Let y be (-12)/(-26)*(-1586)/(-1647). Determine l so that -5/9 + 1/9*l**2 - y*l = 0.
-1, 5
Let n(g) be the second derivative of 0 + 1/4*g**2 - 1/8*g**3 - 1/168*g**7 + 0*g**6 - 1/24*g**4 + 2*g + 1/20*g**5. Determine s, given that n(s) = 0.
-2, -1, 1
Factor 39/7*j**2 - 45/7*j + 9/7*j**3 + 0 - 3/7*j**4.
-3*j*(j - 5)*(j - 1)*(j + 3)/7
Let r(o) = -38*o**2 + 88*o + 14. Let v(t) = -38*t**2 + 93*t + 15. Let c(x) = -3*r(x) + 4*v(x). Factor c(h).
-2*(h - 3)*(19*h + 3)
Solve 2*s**3 - 6486*s - 50*s**2 + 60*s**2 + 285 + 6881*s + 105*s**2 + 3*s**3 = 0.
-19, -3, -1
Let z be (-5)/(-1) + (3 - 0). Suppose 0*y = -4*y + z. Factor 2*b**y - 2*b**2 + 0*b**2 - 2*b**2 - 12*b - 18.
-2*(b + 3)**2
Let a(b) = -6*b + 9. Let h be a(-2). Suppose -5*y - 6 = -h. Factor -2/3*l**y + 4/3 + 8/3*l**2 - 10/3*l.
-2*(l - 2)*(l - 1)**2/3
Let d(q) = -8*q**3 + q**2 - q + 8. Suppose -4*t + 2*t = -116. Suppose 6*w - 274 = -t. Let r(v) = -v**3 + 1. Let z(p) = w*r(p) - 4*d(p). Solve z(k) = 0.
-1, 1
Let w(j) = -6*j**2 + 2064*j - 177504. Let b(o) = 4*o**2 - 1376*o + 118336. Let r(k) = 8*b(k) + 5*w(k). Factor r(p).
2*(p - 172)**2
Let r(c) be the first derivative of 2/7*c**2 - 1/7*c**4 - 8 + 4/21*c**3 - 4/7*c. Find h, given that r(h) = 0.
-1, 1
Let x be 13 - (1287/91 - 2). Factor 0 + x*t + 2/7*t**3 + 8/7*t**2.
2*t*(t + 1)*(t + 3)/7
Suppose 5*v + 3*a = -12, 6*v + 92*a - 12 = 95*a. Factor 0 + v*k + 1/3*k**3 - 1/3*k**2.
k**2*(k - 1)/3
Let y(a) = a**2 - 13*a + 16. Let w be y(12). Let h(f) = f - 1. Let g be h(4). Let -15*t**w + 4*t + 16*t**g + 3*t**2 + 3*t**2 - 6*t - 5*t**2 = 0. What is t?
-1/3, 0, 2/5, 1
Let a = 2747/340752 - -1/1488. Let t = a + 217/1374. Suppose 1/6*c + 0*c**2 + 0*c**4 + 0 + t*c**5 - 1/3*c**3 = 0. Calculate c.
-1, 0, 1
Let k(b) = 6*b**2 + 456*b - 26880. Let x(v) = -v**2 + v - 4. Let o(s) = -k(s) - 8*x(s). Factor o(q).
2*(q - 116)**2
Let b(w) be the third derivative of w**5/330 - 19*w**4/44 + 43*w**2 + 3. Suppose b(d) = 0. What is d?
0, 57
Factor -4*k**5 - k**3 + 11*k**5 - 2*k**2 - 6*k**5 - k**4 + 3*k**4.
k**2*(k - 1)*(k + 1)*(k + 2)
Let n = -493/12 - -124/3. Let v(q) be the first derivative of n*q**2 - 1/6*q**3 + q + 3. Factor v(r).
-(r - 2)*(r + 1)/2
Determine s, given that 1/5*s**2 + 0 - 1/10*s**4 + 1/10*s**3 + 0*s = 0.
-1, 0, 2
Let h(g) = 50*g**4 + 144*g**3 + 142*g**2 + 56*g + 8. Let u(l) = -464*l**3 - l**2 + 0*l**2 + 463*l**3. Let b be 4/6*6/4. Let c(r) = b*h(r) + 4*u(r). Factor c(t).
2*(t + 1)**2*(5*t + 2)**2
Let h = -134 + -116. Let a = h - -1254/5. Factor -3/5 - 1/5*v**2 + a*v.
-(v - 3)*(v - 1)/5
Suppose 73*q - 42*q = 62. Solve 1/2 + 1/4*h - 1/4*h**q = 0 for h.
-1, 2
Let g(h) be the second derivative of 5/6*h**4 - 3*h**2 - h + 0 + 0*h**5 - 1/6*h**3 + 1/42*h**7 - 2/15*h**6. Let g(s) = 0. Calculate s.
-1, 1, 2, 3
Let p = -10 + 10. Let n be (-1)/((-4)/24 - p). Solve -n*t**5 + 2*t**3 - 2*t**4 + 7*t**5 - t**3 = 0 for t.
0, 1
Let h = -56/11 - -459/88. Let f(n) = 2*n**3 - 35*n**2 - 196*n - 42. Let d be f(22). Determine w, given that -h*w**2 + w - d = 0.
4
Let 12/5*d**3 - 2/5*d**5 + 26/5*d**4 - 172/5*d**2 - 78/5 + 214/5*d = 0. Calculate d.
-3, 1, 13
Suppose 147*c - 583 + 583 = 0. Let 1/2*j**3 - 1/2*j**2 + 0 + c*j = 0. What is j?
0, 1
Let x be 4*(-99)/44*3/(-9). Determine n so that -4/3*n**4 + 0 - 4/9*n**5 + 0*n + 0*n**2 - 8/9*n**x = 0.
-2, -1, 0
Let m = 280606/163695 + 2/23385. Factor m + 2/7*f - 2/7*f**2.
-2*(f - 3)*(f + 2)/7
Let p(r) be the first derivative of -75/16*r**2 - 10*r - 1/32*r**4 - 6 + 5/8*r**3. Let l(j) be the first derivative of p(j). Factor l(o).
-3*(o - 5)**2/8
Let c be ((-3)/4)/((-15)/60). Let -4*y**4 - 5*y**3 - c*y**5 - 3*y**4 + 4*y**2 - 5*y**2 + 0*y**3 = 0. Calculate y.
-1, -1/3, 0
Factor -111818*f**3 - 18*f + 11*f**2 + 28*f**2 + 3*f**4 + 111794*f**3.
3*f*(f - 6)*(f - 1)**2
Let w = -93 - -47. Let b be w/(-20) - 2 - (-25)/125. Suppose 0 + v**2 + b*v**3 + 1/2*v = 0. What is v?
-1, 0
Let c(m) be the third derivative of 1/168*m**8 + 0*m**4 + 1/15*m**6 + 14*m**2 + 0*m**5 + 0 + 0*m + 0*m**3 - 4/105*m**7. Determine t so that c(t) = 0.
0, 2
Suppose -4*c = 4*s - 148, -c + 3*s + 36 = 5*s. Let v be ((-6)/c)/((-129)/344). Find f such that -2/19*f**4 - 8/19 - 4/19*f**3 + 6/19*f**2 + v*f = 0.
-2, 1
Suppose 25 = 3*d - 4*m, -113 + 105 = 2*m. Suppose -129/2*p**d - 30*p + 67*p**2 + 4 - 9/2*p**5 + 28*p**4 = 0. What is p?
2/9, 1, 2
Let s(v) = -7*v**3 + v**2 - v + 3. Let r(a) = -15*a**3 + 3*a**2 - 3*a + 6. Let x = -100 + 91. Let d(y) = x*s(y) + 4*r(y). Determine g so that d(g) = 0.
-1, 1
Suppose -52*r**5 + 435*r - 65*r**4 - 224*r + 188*r**4 - 3*r**2 + 201*r**3 - 229*r - 11*r**5 = 0. Calculate r.
-1, -1/3, 0, 2/7, 3
Let a(w) be the first derivative of 5*w**4 + 96*w**3 + 56*w**2 + 125. Let a(j) = 0. What is j?
-14, -2/5, 0
Let d(g) be the first derivative of 3*g**5/5 - 15*g**4/4 + 7*g**3 - 9*g**2/2 - 66. Factor d(b).
3*b*(b - 3)*(b - 1)**2
Factor 4200*h**2 + 395136 + 250/3*h**3 + 70560*h.
2*(5*h + 84)**3/3
Let l = 9419/3 - 3135. Suppose -11/3*j**2 - 5/6*j**3 - 4/3 - l*j = 0. Calculate j.
-2, -2/5
Let y(h) be the second derivative of 0*h**4 + 5/2*h**