*3 - 2*m**5 - 8/5*m**2 + 0*m - 34/5*m**4 = 0.
-2, -1, -2/5, 0
Factor 997*d - d**2 + 997*d - 3029*d + 1010*d - 154.
-(d + 11)*(d + 14)
Suppose 11*p - 18*p + 2632 = 0. Let d = -1124/3 + p. Let -12 - 88/3*m**2 - d*m**4 - 32*m - 32/3*m**3 = 0. What is m?
-3, -1
Suppose 2876 + 4396 = 522*v - 2437 + 1879. Suppose 19/4*p**2 + v - 1/4*p**3 - 16*p = 0. Calculate p.
2, 15
Let -147456/7*f - 3648/7*f**3 + 3/7*f**5 - 24576 - 5376*f**2 - 90/7*f**4 = 0. What is f?
-8, -2, 56
Let f(c) be the second derivative of -2*c**7/21 - 88*c**6/15 - 121*c**5/5 + 94*c**4/3 + 1000*c**3/3 + 656*c**2 + 4383*c. What is r in f(r) = 0?
-41, -2, -1, 2
Let m(s) be the first derivative of s**5/40 + 11*s**4/16 + 121*s**3/24 - 3902. Factor m(q).
q**2*(q + 11)**2/8
Suppose 54*w = 4*p + 55*w + 37, p + w = -10. Let y be (-4)/20 + p/5 + 2. Find h such that -2/5*h**3 + y + 4/5*h + 2/5*h**2 = 0.
-1, 0, 2
Suppose 0 = -4*z + 3*p + 74, -p + 25 = 3*z - 24. Suppose 11*b - 39 = -z. Let -6*y**2 - 27*y**b + 75*y**4 + 36*y - 102*y**3 + 6 + 12*y**3 + 6 = 0. What is y?
-2/5, 1
Let g(x) = 212*x**3 - 2900*x**2 + 5000*x. Let o(a) = -a**4 + 635*a**3 - 8700*a**2 + 15000*a. Let z(q) = 11*g(q) - 4*o(q). Factor z(p).
4*p*(p - 25)**2*(p - 2)
Factor 544 - 2/3*d**2 + 400/3*d.
-2*(d - 204)*(d + 4)/3
Let c(h) be the third derivative of -1/1512*h**8 - 1/135*h**5 - 4/945*h**7 - 1/108*h**6 + 0*h**4 + 0*h**3 + 0 - 83*h**2 + 0*h. Factor c(r).
-2*r**2*(r + 1)**2*(r + 2)/9
Let c = 17403 + -17398. Let v(t) be the first derivative of -1/45*t**c + 0*t + 0*t**2 + 1/54*t**6 - 1/18*t**4 + 4 + 0*t**3. Suppose v(r) = 0. Calculate r.
-1, 0, 2
Factor 1/5*p**4 + 32850900*p + 142830*p**2 + 276*p**3 + 2833390125.
(p + 345)**4/5
Factor -1/2*b**3 - 47/2 - 45/2*b**2 + 93/2*b.
-(b - 1)**2*(b + 47)/2
Let k(l) be the second derivative of -l**6/165 + 21*l**5/110 - 17*l**4/11 + 4*l**3/3 + 168*l**2/11 - 67*l + 15. Find y such that k(y) = 0.
-1, 2, 6, 14
Let k(j) be the first derivative of -1 - 1/30*j**3 + 0*j + 2/25*j**5 - 3/40*j**4 + 0*j**2. Factor k(m).
m**2*(m - 1)*(4*m + 1)/10
Let p(y) be the first derivative of 34*y**2 - 136/3*y**3 - 10*y + 18/5*y**5 + 15*y**4 - 129. Factor p(d).
2*(d - 1)*(d + 5)*(3*d - 1)**2
Suppose -3*u + 11940*w - 11936*w + 36 = 0, -3*u + 3*w = -27. Factor -3*y**2 + u - 13/4*y + 1/4*y**3.
y*(y - 13)*(y + 1)/4
Let u(x) be the second derivative of -x**5/4 + 5*x**4/12 + 5*x**3 + 3*x - 21. Determine z so that u(z) = 0.
-2, 0, 3
Suppose 3*u - l = -13 + 28, -u + 10 = -2*l. Find s, given that 27*s**3 - 5*s**u + 35 - 27*s + 41 - 5*s**2 + 47 - 113 = 0.
-1, 2/5, 1, 5
Let r be -2 - (25/150 + (-13)/6). Suppose -13*d + 59*d = 138. Find z, given that 0*z + z**2 - 1/2*z**d + r = 0.
0, 2
Let v(n) = -2*n**3 - 4*n**2 + 9*n + 12. Let k be v(-3). Factor 756*f - 380*f + 6*f**2 - 373*f - k.
3*(f + 1)*(2*f - 1)
Suppose 6750/7*a**4 + 16200/7*a**3 - 4096/7 + 22016/7*a - 37440/7*a**2 = 0. Calculate a.
-4, 8/15
Let f(q) be the second derivative of -2 + 3/20*q**5 - 18*q - 6*q**2 + 9/2*q**3 - 3/2*q**4. Factor f(z).
3*(z - 4)*(z - 1)**2
Let n(a) be the first derivative of a**6/15 - 17*a**4/6 + 16*a**2 - 91*a - 99. Let j(w) be the first derivative of n(w). Determine y, given that j(y) = 0.
-4, -1, 1, 4
Suppose 129 = -3*q + 180. Let g(h) = 2*h**2 - 32*h - 34. Let i be g(q). Factor i*a - 14/13*a**4 + 0*a**2 + 12/13*a**5 + 4/13*a**3 + 0.
2*a**3*(2*a - 1)*(3*a - 2)/13
Let j = -8 + 13. Let t = -7141 - -7146. Factor -3*w**3 - w**3 + 2*w + 360*w**t - 358*w**j.
2*w*(w - 1)**2*(w + 1)**2
Let s be (-12)/(-15) + -4*29/(-5). Let x be 108/14*1*7. Find o such that -x*o**3 - 7*o**4 + 15*o**2 + s*o - 51*o**2 - 8*o**4 = 0.
-2, 0, 2/5
Factor 63/5*w**4 + 123/5*w + 0 - 3/5*w**3 - 183/5*w**2.
3*w*(w - 1)**2*(21*w + 41)/5
Factor -10 - s**2 + 14*s - 24 + 54 + 3*s**2.
2*(s + 2)*(s + 5)
Let j = 6810 + -6807. Factor -15/7*s**2 + 144/7 - 3/7*s**j + 24/7*s.
-3*(s - 3)*(s + 4)**2/7
Solve -12*h**3 - 122*h**2 - 32269*h + 1 + 99 + 32259*h = 0 for h.
-10, -1, 5/6
Let x(z) = -3*z**2 + 11*z - 8. Let k(j) be the second derivative of -j**4/6 + 7*j**3/3 - 3*j**2 - 2*j - 55. Let h(v) = 4*k(v) - 3*x(v). Factor h(r).
r*(r + 23)
Let -1/3*s**2 - 542 + 1627/3*s = 0. What is s?
1, 1626
Let a(w) be the second derivative of 19*w**5/20 - 43*w**4/6 + 97*w**3/6 - 15*w**2 + 5697*w. Find j, given that a(j) = 0.
10/19, 1, 3
Let x(i) = 155*i**4 + 2480*i**3 + 12185*i**2 + 18050*i. Let d(b) = 5*b**4 + 80*b**3 + 393*b**2 + 582*b. Let s(p) = -185*d(p) + 6*x(p). Factor s(f).
5*f*(f + 3)*(f + 6)*(f + 7)
Let d(w) be the second derivative of -8/105*w**6 + 0*w**2 - 70*w - 1/7*w**4 + 0*w**3 + 0 - 13/35*w**5. Factor d(r).
-4*r**2*(r + 3)*(4*r + 1)/7
Let a(r) be the second derivative of 1/40*r**5 + 1/180*r**6 + 0*r**2 - 12*r + 0*r**4 - 1/9*r**3 - 3. Find u, given that a(u) = 0.
-2, 0, 1
Let s be (13 - 19)/((-10)/((-220)/(-33))). Factor 3/2*m**3 + 0*m + 0 - 3*m**2 + 3/2*m**s.
3*m**2*(m - 1)*(m + 2)/2
Let c(j) be the first derivative of -j**5/50 - 2*j**4/15 + j**2 + 48*j - 85. Let u(y) be the second derivative of c(y). Factor u(z).
-2*z*(3*z + 8)/5
Suppose -h = -1, -2*h - 16 = -5*g + 2*h. Factor -20*a**4 + 19*a**g + a**3 + 17*a**2 - 15*a**2.
-a**2*(a - 2)*(a + 1)
Let f(i) = 25*i - 250. Let b be f(10). Let g(k) be the second derivative of b*k**2 + 1/130*k**5 - 2/39*k**3 - 1/78*k**4 + 0 + 32*k. Factor g(h).
2*h*(h - 2)*(h + 1)/13
Let n = 192553/5178 + 253/1726. Let -92*l - 10/3*l**2 + n = 0. What is l?
-28, 2/5
Factor -596/3*s**2 + 0*s - 1/3*s**5 - 51*s**4 + 0 - 200*s**3.
-s**2*(s + 2)**2*(s + 149)/3
Let x = -15457 + 15460. Factor 2/5 - 2/5*m**2 - 2/5*m + 2/5*m**x.
2*(m - 1)**2*(m + 1)/5
Factor -6*m**2 + 2*m**3 + 54 + 0*m**3 - 4*m**2 - 4*m**3 + 18 + 24*m.
-2*(m - 3)*(m + 2)*(m + 6)
Let b(x) = -3*x**2 - 6792*x + 3823932. Let h(k) = 8*k**2 + 13590*k - 7647867. Let q(v) = -7*b(v) - 3*h(v). Suppose q(r) = 0. Calculate r.
1129
Let u = -120 - -208. Suppose 3*h - u + 82 = 0. Determine a so that 27*a**h - 3*a**3 + 2*a**3 + 2*a**4 + a**5 - 29*a**2 = 0.
-2, -1, 0, 1
Suppose 165 = -19*t + 203. Let o(b) be the second derivative of 12*b + 129/80*b**5 - 73/16*b**4 + 7*b**3 + 1/56*b**7 - 6*b**t + 0 - 11/40*b**6. Factor o(x).
3*(x - 4)**2*(x - 1)**3/4
Let f be (-16578)/(-63) - 8 - 2/7 - (304 + -296). What is b in 36/7*b**2 + 432/7*b + 1/7*b**3 + f = 0?
-12
Let q(i) = 9*i**2 - 28*i + 36. Let v(x) = -2*x**2 - x + 2. Let g(t) = q(t) + 2*v(t). Suppose g(a) = 0. What is a?
2, 4
Suppose 13*g = -16*g + 174. Let 67*u + 112*u - 115*u - g*u**2 - 13467 + 3*u**2 + 338*u = 0. What is u?
67
Let y(i) be the second derivative of i**4/16 + 91*i**3/8 + 267*i**2/4 + 3*i - 1518. Solve y(k) = 0.
-89, -2
Let u be 1308/(-8)*(-4)/6. Suppose -64 = 9*m - u. Find l, given that -19*l**2 - 21/4*l - 113/4*l**3 - 4*l**m - 1/2 - 18*l**4 = 0.
-2, -1, -1/4
Let a be ((-495)/22)/(-45)*((-13)/5 + 5). What is d in -22/5*d - a*d**2 + 8/5 = 0?
-4, 1/3
Let p(r) be the first derivative of -4*r**3/3 - 20*r**2 + 300*r + 3349. Factor p(j).
-4*(j - 5)*(j + 15)
Let d(c) be the second derivative of 35*c - 1/2*c**4 - 5/4*c**3 + 3/40*c**5 + 0*c**2 + 2. Factor d(j).
3*j*(j - 5)*(j + 1)/2
Let a(g) be the third derivative of -g**7/105 + 35*g**6/12 + 353*g**5/30 + 59*g**4/4 - 1525*g**2. Let a(w) = 0. Calculate w.
-1, 0, 177
Determine x, given that -1080*x**3 - 12*x + 238*x - 28*x + 1082*x**3 + 242 - 42*x**2 = 0.
-1, 11
Let 42/17*j**5 - 36*j**3 + 256/17*j**2 + 0 + 314/17*j**4 + 0*j = 0. What is j?
-64/7, 0, 2/3, 1
Let i(b) be the third derivative of -b**7/735 + 31*b**5/210 + b**4/2 - 24*b**3/7 + 725*b**2 + 2*b. What is r in i(r) = 0?
-4, -3, 1, 6
Let q(o) = 8*o**2 + 1017*o + 3102. Let z be q(-124). Solve 14/11*x**3 - 200/11*x**z - 196/11 + 742/11*x = 0.
2/7, 7
Let w be (0/(-1))/(3*(4 + -3)). Let z be (-8)/(-70) - -8*(-8)/(-224). Find d such that -z*d**2 - 1/5*d - 1/5*d**3 + w = 0.
-1, 0
Let o(f) be the third derivative of 1/30*f**6 - 25/6*f**4 + 2/5*f**5 + 12*f**3 + 0*f + 2 + 37*f**2. Find v, given that o(v) = 0.
-9, 1, 2
Let c(o) be the first derivative of o**6/1260 - o**5/30 + 11*o**4/28 + 20*o**3/3 - 135. Let f(p) be the third derivative of c(p). Solve f(d) = 0 for d.
3, 11
Let a(g) be the second derivative of g**6/1980 - g**5/110 + 2*g**4/33 + g**3/6 - 5*g**2 + 3*g. Let r(y) be the second derivative of a(y). What is o in r(o) = 0?
2, 4
Let d(b) be the first derivative of b**