t such that b(t) = 0.
-4, -1
Let p(q) = q**2 - 10*q + 10. Let i be p(10). Let m be ((-312)/(-195))/(12/i). Factor m*x - 2/3*x**2 - 1/3*x**3 + 8/3.
-(x - 2)*(x + 2)**2/3
Let w(t) = 53*t**2 - t - 3. Let j be w(-2). Factor 21*m + 3*m**2 + 2447 + 436 - 46*m + j*m.
3*(m + 31)**2
Let y(u) = -u**3 - 2*u**2 + 8*u + 17. Suppose -28 = 37*q + 83. Let p be y(q). Suppose 1/2*g**3 - 1/2*g**p + 1/6*g + 0 - 1/6*g**4 = 0. Calculate g.
0, 1
Let o(p) be the second derivative of -1/5*p**2 - 2/15*p**3 - 1/30*p**4 + 0 + 17*p. Factor o(a).
-2*(a + 1)**2/5
Suppose 14/9*a**5 - 100/9*a**3 + 20/9 - 52/9*a**4 + 32/9*a**2 + 86/9*a = 0. What is a?
-1, -2/7, 1, 5
Let g be 160/550*(-4)/(-24). Let b = g + 149/330. Suppose -f**2 + b*f**3 + 1/2*f + 0 = 0. What is f?
0, 1
Let h(b) = -b**2 + 1. Let q(v) = 2*v - 3. Let n = 75 + -73. Let a be q(n). Let i(f) = 3*f**2 - 24*f + 21. Let s(z) = a*h(z) - i(z). What is l in s(l) = 0?
1, 5
Factor -2 - 2544*u**2 + 2596*u**2 + 4*u**3 + 2 + 96*u + 72*u.
4*u*(u + 6)*(u + 7)
Factor 2*l**2 + 128/9 + 32/3*l.
2*(3*l + 8)**2/9
Let o(x) = 2*x**3 - 7*x**2 + 25*x - 2. Let c be o(5). Let v = -1187/6 + c. Factor -v*n**2 - 1/3*n + 0.
-n*(n + 2)/6
Let v be 5/6 + 152/(-624) - 69/(-897). Solve v + 4/3*g**2 + 5/3*g + 1/3*g**3 = 0 for g.
-2, -1
Let x(b) = 2*b**4 + 4*b**3 + b**2 - 2*b - 1. Let q(n) = 508*n**4 + 286*n**3 - 200*n**2 - 64*n - 2. Let l(i) = -q(i) + 2*x(i). Suppose l(d) = 0. What is d?
-6/7, -1/4, 0, 5/9
Let z be (-213)/5 - (-11)/((-385)/(-21)). Let g be z/(-14)*7/14. Find n such that 0*n**2 + 1/4*n**3 + g - 7/4*n = 0.
-3, 1, 2
Let y(d) = 36*d**3 - 1480*d**2 - 7444*d - 5608. Let l(r) = 7*r**3 - 300*r**2 - 1489*r - 1122. Let h(z) = 16*l(z) - 3*y(z). Factor h(n).
4*(n - 94)*(n + 1)*(n + 3)
Let t(k) be the third derivative of k**6/60 + 2*k**5/5 - 33*k**4/4 + 54*k**3 - 2103*k**2 + 3*k. Find c such that t(c) = 0.
-18, 3
Let q(z) be the second derivative of -z**4/84 + 5*z**3/14 + 27*z**2/7 + 4676*z. Factor q(u).
-(u - 18)*(u + 3)/7
Suppose 66 = 24*s - 13*s. Suppose 0 = n - 2*h - 2, 4*n = 7*h - s*h + 8. Factor 3/5*m**4 - 12/5*m + 24/5 + 3/5*m**3 - 18/5*m**n.
3*(m - 2)*(m - 1)*(m + 2)**2/5
Let c(y) be the first derivative of -4*y**2 + 53 - 52/3*y**3 + 0*y. Factor c(d).
-4*d*(13*d + 2)
Determine i so that 20/3*i**2 - 8*i**3 + 4/3*i + 128/3*i**5 - 128/3*i**4 + 0 = 0.
-1/4, 0, 1/2, 1
Let j(r) be the third derivative of r**5/60 - 7*r**4/8 + 10*r**3/3 - 804*r**2 + 1. Factor j(p).
(p - 20)*(p - 1)
Suppose 1140*r + 2/3*r**2 + 487350 = 0. Calculate r.
-855
Let k be (30/80)/(9/288*6). Let w(v) be the second derivative of 7*v + 0*v**k + 0*v**3 + 1/70*v**5 + 1/42*v**4 + 0. Determine b so that w(b) = 0.
-1, 0
Let d(o) be the first derivative of -2*o**5/95 + 17*o**4/38 - 52*o**3/57 - 68*o**2/19 + 240*o/19 - 1418. Solve d(p) = 0.
-2, 2, 15
Let t(w) be the first derivative of -w**5/12 - 5*w**4/12 - 5*w**3/6 - 32*w**2 + 42. Let m(z) be the second derivative of t(z). Suppose m(p) = 0. Calculate p.
-1
Let n(c) = 193*c**2 + 89*c - 8409. Let b(p) = -49*p**2 - 22*p + 2102. Let x(z) = 9*b(z) + 2*n(z). Suppose x(o) = 0. What is o?
-70/11, 6
Let b(n) = 41*n**3 + 178*n**2 + 3870*n - 4024. Let z(g) = 19*g**3 + 89*g**2 + 1935*g - 2013. Let h(f) = -6*b(f) + 13*z(f). Factor h(i).
(i - 1)*(i + 45)**2
Let x(j) be the second derivative of 3/2*j**2 + 0 - 1/6*j**4 + 2/3*j**3 - 1/5*j**5 - 1/30*j**6 - 17*j. Solve x(v) = 0 for v.
-3, -1, 1
Let t(r) = -r**3 + r**2 - 2*r + 2. Let w(n) = 2*n**3 - 517*n**2 - 6*n + 6. Let u(z) = 3*t(z) - w(z). Factor u(o).
-5*o**2*(o - 104)
Let c be 42/154 + ((-45)/(-20) - (-1 + 882/264)). Find y such that -c*y**2 - 8 + 30/11*y = 0.
4, 11
Let w(z) be the third derivative of z**8/252 - 124*z**7/315 + 881*z**6/90 + 2972*z**5/45 - 2176*z**4/3 - 8192*z**3 + 40*z**2 + 16. What is b in w(b) = 0?
-3, 4, 32
Let s(t) be the third derivative of -t**5/180 - 265*t**4/24 + 398*t**3/9 - 3066*t**2. Factor s(b).
-(b - 1)*(b + 796)/3
Let l(w) be the second derivative of 5*w**6/24 - w**5/4 - 3*w**4/8 - w**3/6 - 97*w**2/2 - 61*w. Let v(k) be the first derivative of l(k). Solve v(i) = 0.
-1/5, 1
Let c(g) be the first derivative of -4/5*g**3 - 3/10*g**4 + 44 + 0*g - 1/25*g**5 - 4/5*g**2. Let c(o) = 0. What is o?
-2, 0
Let q(o) be the second derivative of 4900*o**3 - 35*o**4 - 343000*o**2 + 0 - 223*o + 1/10*o**5. Factor q(w).
2*(w - 70)**3
Let x(p) = -31*p + 33. Let n be x(1). Let -123264*m**2 + n*m**3 - 6*m + 123264*m**2 + 4 = 0. Calculate m.
-2, 1
Let r(g) = -g**2 - 4*g + 3. Let z be r(-4). Let b be 6 + -1 + 34 + 18/(-2). Factor 5*u**z - u**3 + b*u**2 + u**3.
5*u**2*(u + 6)
Let a(d) be the first derivative of 1/12*d**6 - 9/8*d**4 + 2*d**2 - 1/10*d**5 + 3 - 6*d + 13/6*d**3. Determine p, given that a(p) = 0.
-3, -1, 1, 2
Let k be (845154/135)/47 - (-9 - -33). Determine w so that 36/5*w**3 + 388/5*w**2 - 882/5 - 2/5*w**5 - 18/5*w**4 - k*w = 0.
-7, -1, 3
Let s = 7867/5 + -23596/15. Let y(i) be the second derivative of 0*i**2 - s*i**4 - 2/3*i**3 + 0 - 16*i. Suppose y(o) = 0. Calculate o.
-1, 0
Let r be 38 - (-2)/4*(21 + -19). Suppose 2*q = 2*x + r - 35, x + 5*q - 22 = 0. Factor 0*k + 2/3*k**5 + 0 + 4/3*k**3 - 2*k**4 + 0*k**x.
2*k**3*(k - 2)*(k - 1)/3
Suppose 157*k - 166*k = -50967. Let q be (-7 - k/(-595)) + (-2)/17. Suppose q - 9/5*y**2 - 12/5*y = 0. What is y?
-2, 2/3
Let f(t) be the first derivative of -2*t**5/5 - 12*t**4 - 74*t**3/3 + 150*t**2 - 176*t - 1402. Factor f(s).
-2*(s - 1)**2*(s + 4)*(s + 22)
Suppose -11412/5*h**2 - 4853/5*h**3 - 16 - 1876/5*h - 529/5*h**4 = 0. Calculate h.
-5, -4, -2/23
Let s be (-12 + 12 + 3/1)/1. Suppose 0 = 3*q - 12 + s. Determine w, given that -2*w**2 - 4*w**q + 3*w**4 - 4*w**4 - 31 + 34 + 4*w = 0.
-3, -1, 1
Factor 7654188094*g - 1972098*g**3 - 3*g**5 - 22576264848*g - 435176292*g**2 - 21088761409*g - 3972*g**4.
-3*g*(g + 331)**4
Let z(r) be the second derivative of -5*r**7/84 + 229*r**6/120 - 215*r**5/16 + 301*r**4/12 + 89*r**3/6 - 34*r**2 + 20*r + 4. Let z(p) = 0. Calculate p.
-1/2, 2/5, 2, 4, 17
Let x be 2898/20*72/42. Let g = -248 + x. What is l in -1/5*l**3 - l - 4/5*l**2 - g = 0?
-2, -1
What is h in -2592 + 1942*h**2 + 144*h + 540*h**3 - 69/2*h**4 + 1/2*h**5 = 0?
-2, 1, 36
Factor -216 - 188*r**2 - 36*r + 212*r**2 + 3*r**3 + 7*r**3 - 6*r**3.
4*(r - 3)*(r + 3)*(r + 6)
Let r(k) be the third derivative of -845*k**5/42 + 130*k**4/7 - 48*k**3/7 + 93*k**2 - 3*k. Let r(s) = 0. What is s?
12/65
What is q in 1044/13 - 714/13*q + 128/13*q**2 - 2/13*q**3 = 0?
3, 58
Suppose 59077*d - 48 = 59061*d. Factor 4/7*n + 0 - 2/7*n**2 - 2/7*n**d.
-2*n*(n - 1)*(n + 2)/7
Let o = -1827 - -1831. Let d(w) be the second derivative of 128/7*w**3 + 12/35*w**5 + 0 - 6*w - 1/70*w**6 - 24/7*w**o - 384/7*w**2. Factor d(j).
-3*(j - 4)**4/7
Suppose 432*p + 2*p**4 + 80*p**2 + p**4 + 243 + 34*p**2 + 6*p**3 + 24*p**2 - 54*p**3 = 0. What is p?
-1, 9
Let j(x) be the first derivative of -13*x**2 - 169*x - 1/3*x**3 - 62. Factor j(b).
-(b + 13)**2
Solve -2*y**3 + 288486*y - 288781*y - 796 - 22*y**2 - 4 + 3*y**3 = 0.
-5, 32
Let m(u) = u - 1. Let b be (-4)/(-14) + (-138)/42. Let c(z) = 3*z**2 - 105*z + 870. Let q(o) = b*m(o) - c(o). Factor q(a).
-3*(a - 17)**2
Factor -12/11*t**3 + 0 - 104/11*t - 626/11*t**2.
-2*t*(t + 52)*(6*t + 1)/11
Suppose -4*k = 81*j - 80*j + 1, -117*j = 2*k + 117. Factor k - 28/5*g**2 + 4/5*g**3 + 48/5*g.
4*g*(g - 4)*(g - 3)/5
Let z(n) be the first derivative of -n**4 - 272*n**3/3 + 280*n**2 - 1443. Factor z(y).
-4*y*(y - 2)*(y + 70)
Let t(v) = -19*v + 2. Let n be t(-16). Suppose 3*d + 255 = 4*s + 2*d, 0 = -5*s - 3*d + n. Suppose 5*a**2 + s + 34 - 25*a - 77 = 0. What is a?
1, 4
Let p = -1 - -2. Suppose a - o = 12, -2*a - 4*o - p = -o. Find r such that 9*r**3 - a*r**3 + 4*r**5 - 10*r**4 + 4*r**5 = 0.
0, 1/4, 1
Let a(t) be the second derivative of -t**6/72 + 29*t**5/6 - 4205*t**4/6 + 83*t**3/6 + 178*t. Let l(k) be the second derivative of a(k). Factor l(h).
-5*(h - 58)**2
Let y be 6/15 - ((-2232)/20 - -1). Let t = y - 109. Factor -270*f**t + 15*f + 132*f**2 + 133*f**2.
-5*f*(f - 3)
Let d = 14/3245 - -6364/29205. Factor -d*a**2 + 40/9 + 2/9*a.
-2*(a - 5)*(a + 4)/9
Let r(p) be the first derivative of 3/2*p**2 - 1/2*p**3 - 94 + 9/2*p. Factor r(y).
-3*(y - 3)*(y + 1)/2
Let b(i) be the second derivative of -i**8/3360 + i**7/1050 - i**6/1800 - i**4/12 - 9*i**2 - 123*i. Let j