-15)*5 + (-16)/k. Let -224*x**2 + 241*x**3 + 98*x + 2*x**w - 4*x**4 - 28*x**4 - 85*x**3 = 0. What is x?
0, 1, 7
Let v be (-66)/(-429)*(-169)/(-52). Find l such that -v*l**5 + 0*l + l**2 + 0 - l**4 + 1/2*l**3 = 0.
-2, -1, 0, 1
Factor 32*z**2 + 100/9*z**3 + 2/9*z**4 + 284/9*z + 94/9.
2*(z + 1)**3*(z + 47)/9
Suppose 74*v = 60*v + 210. Suppose -i + 48 = v*i. Determine m, given that 0 + 0*m + 4/9*m**i - 2/9*m**4 + 0*m**2 = 0.
0, 2
Let d = 3089654605/34183796766 + 1/7901941. Let f = d - -1/206. Solve 2/21*p**5 + 0*p - f*p**2 + 2/21*p**4 - 2/21*p**3 + 0 = 0 for p.
-1, 0, 1
Let v(d) be the first derivative of d**6/1260 + d**5/140 - 5*d**4/42 - 16*d**3/3 - 49. Let c(a) be the third derivative of v(a). Factor c(w).
2*(w - 2)*(w + 5)/7
Suppose -3*l + 12*i + 96 = 111, 0 = -4*i + 8. Let 1/3*c**4 + 0*c**l - 2/3*c**2 + 1/3 + 0*c = 0. What is c?
-1, 1
Let o(f) = -82*f**2 - 1150*f - 5128. Let u(r) = r**3 + r**2 + r - 4. Let b(l) = -o(l) + 2*u(l). Factor b(w).
2*(w + 10)*(w + 16)**2
Find w, given that 3/5*w**2 - 150 - 27*w = 0.
-5, 50
Let p(z) = -3*z + 1. Let v(x) = 5*x**2 + 32*x - 4. Suppose -21*h + 1 = -22*h. Let l(y) = h*v(y) - 4*p(y). Let l(j) = 0. What is j?
-4, 0
Suppose -30 = 4*i - 9*i. Factor -14*c**2 + 19*c**2 - c + 4*c**4 - i*c**3 + 0*c**5 - c**2 - c**5.
-c*(c - 1)**4
Let k = -215 + 217. Find u such that -47*u - 4 + 13*u + 8*u**2 + 7*u**k + 3*u**2 = 0.
-1/9, 2
Let c = -8362624041283/170202 - -294801143/6. Let j = 1/1493 - c. Factor -6/19*r**2 + 0 + 2/19*r + 6/19*r**3 - j*r**4.
-2*r*(r - 1)**3/19
Suppose 0 = -3*z + 2*z - 3. Let q(c) = c**2 - 4*c - 3. Let n(t) be the second derivative of -t**2/2 + 39*t. Let g(o) = z*q(o) - 6*n(o). Factor g(m).
-3*(m - 5)*(m + 1)
Let z(w) be the second derivative of -41*w**5/240 + 47*w**4/96 - w**3/4 + 165*w**2/2 + 5*w + 20. Let q(o) be the first derivative of z(o). Factor q(p).
-(p - 1)*(41*p - 6)/4
Let c(l) = -l**5 + 34*l**4 - 89*l**3 + 85*l**2 - 29*l - 4. Let r(x) = x**5 + x**3 - x**2 - x - 4. Let a(g) = -2*c(g) + 2*r(g). Solve a(i) = 0.
0, 1, 14
Let r(j) be the third derivative of j**8/1512 - j**7/315 + j**6/270 + j**5/135 - j**4/36 + j**3/27 - 509*j**2 - j. Solve r(q) = 0.
-1, 1
Let l(x) be the first derivative of 0*x**5 + 0*x - 30 + 0*x**3 + 1/24*x**4 + 0*x**2 - 1/36*x**6. Suppose l(m) = 0. What is m?
-1, 0, 1
Determine x so that 485*x + 53*x + 272*x + 705*x**2 - 110*x**3 - 5*x**4 = 0.
-27, -1, 0, 6
Suppose 1 - 5 = -2*f. Suppose -3 = f*y - 17. Factor -3*c + 8*c**2 - 43 - 16*c**3 - 4*c**4 + 11*c + y + 40*c.
-4*(c - 1)**2*(c + 3)**2
Let d(s) be the second derivative of s**4/24 + 241*s**3/3 - 483*s**2 - 794*s. Factor d(v).
(v - 2)*(v + 966)/2
Let x = 131 + -129. Determine w, given that -6*w**2 - 30*w - 33 - 34*w**x + 43*w**2 = 0.
-1, 11
Suppose -3*d + b = 304, -420 = 4*d - 5*b - 0*b. Let j be (1*(-255)/68)/(6/d). Determine q, given that j*q + 40*q**3 + 15/2 + 140*q**2 = 0.
-3, -1/4
Factor -18*a + 41*a - 2*a**2 - 92*a - 71 + 3 + a**2.
-(a + 1)*(a + 68)
Let z be 31/93 - (-7)/24. Factor 0 + 0*p - z*p**2 - 1/8*p**3.
-p**2*(p + 5)/8
Let u = 1363/105 - 63/5. Let n be (-1)/(-8)*-2 - 8/((-10080)/915). Let 8/21*z**3 + 4/21 - u*z**4 - n*z + 4/21*z**2 + 2/21*z**5 = 0. What is z?
-1, 1, 2
Let p(r) be the second derivative of -7*r**4/30 + 67*r**3/15 - 12*r**2 + 1742*r. Factor p(g).
-2*(g - 1)*(7*g - 60)/5
Let c be -1*(-7 - 117/65). Let n(w) be the first derivative of w**4 - 10*w**2 + 31 - 52/3*w**3 + c*w**5 + 8*w + 8/3*w**6. What is o in n(o) = 0?
-2, -1, 1/4, 1
Suppose -8*v - 3*v = -22. Factor -187*n + 5*n**v + 200 - 3*n**2 + 147*n.
2*(n - 10)**2
Suppose 308*x = 65*x - 225*x + 936. Let f(j) be the first derivative of -5*j**x + 5*j**3 - 29 + 0*j - 5/4*j**4. Determine v so that f(v) = 0.
0, 1, 2
Factor 0 - 3*a**2 - 2093*a - 2*a**2 + 2578*a + 0.
-5*a*(a - 97)
Factor -414 - 185*u**3 + 472 - 258 - 940*u - 790*u**2.
-5*(u + 2)**2*(37*u + 10)
Find q, given that -4*q**5 - 351*q + 3 - 184 - 65*q**4 - 360*q**3 - 245*q - 790*q**2 + 68 + 8 = 0.
-7, -5, -3, -1, -1/4
Suppose -3*h = -83 + 542. Let k be (h/(-119))/(3/(-24)*-6). Factor k*o + 2/7*o**2 + 10/7.
2*(o + 1)*(o + 5)/7
Let v be -2 + 1 - (-209)/77. Let t = 11315 + -79178/7. Let -t*x**2 - v + 60/7*x = 0. What is x?
2/9, 2
Let y = 15436/6455 + 56/6455. Let -2/5*x**4 - 8/5*x**2 - 12/5*x + 2 + y*x**3 = 0. Calculate x.
-1, 1, 5
Let j = -28579/20631 + 1/1587. Let n = 3/26 - j. Determine m, given that -15/2*m + n*m**2 + 6 = 0.
1, 4
Let q = 73/300 + -4/25. Let p(u) be the third derivative of q*u**4 + 0*u + 1/4*u**3 + 1/120*u**5 + 0 + 2*u**2. Factor p(k).
(k + 1)*(k + 3)/2
Let c(q) = 14*q**2 + 708*q + 688. Let o(s) = -39*s**2 - 2122*s - 2066. Let a(h) = -17*c(h) - 6*o(h). Solve a(n) = 0.
-1, 175
Suppose 0 = i, -29*i = -n - 32*i + 3. Factor -184*x + 14*x**n + 40 + 14*x**4 + 80*x + 2*x**5 + 70*x**2 - 36*x**4.
2*(x - 10)*(x - 1)**3*(x + 2)
Suppose -3*k + 388*u + 9 = 391*u, -2*k + 2*u + 6 = 0. Factor 2/11*b**k - 10/11*b - 8/11*b**2 + 0.
2*b*(b - 5)*(b + 1)/11
Let a(z) be the third derivative of -z**7/1155 - z**6/132 - 2*z**5/165 - 3085*z**2. Factor a(c).
-2*c**2*(c + 1)*(c + 4)/11
Let k(h) be the third derivative of -1/32*h**6 - 19/96*h**4 - 34*h**2 + 1/12*h**3 + 0*h + 0 + 2/15*h**5. Factor k(g).
-(g - 1)**2*(15*g - 2)/4
Let m be (1 - (1 - -70)*18/1260)*-1. Let z(v) be the second derivative of 0*v**4 + 1/210*v**6 + 18*v - m*v**5 + 0 + 0*v**3 + 0*v**2. Factor z(l).
l**3*(l - 2)/7
Suppose -7 - 5 = 2*q. Let m(p) = 2*p**3 + 11*p**2 - 6*p + 5. Let o be m(q). Let 16*y + 6*y**o + 13*y**5 + 7*y**5 - 20*y**3 - 22*y**5 = 0. What is y?
-2, -1, 0, 1, 2
Let z = 1639/70 - 3243/140. Factor 5/4*d**2 + 0 + z*d + d**3.
d*(d + 1)*(4*d + 1)/4
Let z be (-2)/((-1161)/(-582) - 2). Let n be z/76 - 4/38. Factor -17*v**3 - 8*v - 70*v**5 + 20*v**2 + v**4 + 74*v**5 + 5*v**3 - n*v**4.
4*v*(v - 1)**3*(v + 2)
Let f(b) be the third derivative of -b**7/735 + 17*b**6/420 + 2*b**5/7 - 1039*b**2. Factor f(r).
-2*r**2*(r - 20)*(r + 3)/7
Let m(b) be the first derivative of -2*b**3/15 + 191*b**2/15 + 128*b/15 + 1109. Factor m(k).
-2*(k - 64)*(3*k + 1)/15
Let n be (-144495)/(-1170) - (7 + 4). Let n*g - 6*g**2 + 57/2 = 0. Calculate g.
-1/4, 19
Let z(r) be the first derivative of -4*r**3/3 - 4*r**2 - 290. Find l such that z(l) = 0.
-2, 0
Let h be -3*4/39 - (-24840)/10764. Let 68/5*u**3 + 0 + 0*u - 578/5*u**h - 2/5*u**4 = 0. What is u?
0, 17
Let f be 15/60 + 21/12. Solve f*u**3 - 207*u**2 - 12*u + 221*u**2 + 16*u + 16*u = 0 for u.
-5, -2, 0
Let h(r) = -6*r**2 - 296. Let q(w) = -14*w**2 - 2*w - 596. Let a(v) = 9*h(v) - 4*q(v). Suppose a(s) = 0. Calculate s.
-14, 10
Suppose -4*c + 46 + 14 = 0. Suppose 4*v - 35 + c = 0. Factor -v*w**2 + 13*w**2 + 5*w + w**2 - 8*w**2 + 4.
(w + 1)*(w + 4)
Let k(z) be the second derivative of -5*z + 1/3*z**3 - 1/30*z**6 - z**2 + 0*z**4 + 0 - 1/10*z**5. Let o(x) be the first derivative of k(x). Factor o(y).
-2*(y + 1)**2*(2*y - 1)
Suppose -189*j**2 - 596*j + 378*j**2 - 192*j**2 + 3000 + 2090*j = 0. Calculate j.
-2, 500
Let i(t) be the third derivative of 0*t + 17/216*t**4 + 7/1080*t**6 - 1/9*t**3 - 17/540*t**5 + 27*t**2 + 0 - 1/1890*t**7. Factor i(h).
-(h - 3)*(h - 2)*(h - 1)**2/9
Let a(c) be the third derivative of 21*c**6/10 - 17*c**5/5 - 76*c**4/3 - 40*c**3 - 472*c**2. Factor a(v).
4*(3*v + 2)**2*(7*v - 15)
Let l(n) be the first derivative of n**5/20 - 9*n**4/16 - 31*n**3/6 - 27*n**2/2 - 14*n + 4903. Find u such that l(u) = 0.
-2, -1, 14
Let y be 222/15 - ((-621)/(-27) - 9). Factor y*l**2 + 4/5*l**4 + 12/5*l - 12/5*l**3 - 8/5.
4*(l - 2)*(l - 1)**2*(l + 1)/5
Factor 3099*n + 767*n**2 + 961581 - 959601 - 12*n**3 - 164*n**2.
-3*(n - 55)*(n + 4)*(4*n + 3)
Determine y so that 0 + 2/7*y**4 + 0*y + 88/7*y**3 + 0*y**2 = 0.
-44, 0
Let r(j) = 90*j**2 - 48*j + 240. Let o(a) = 494*a**2 - 240*a + 1201. Let c(f) = 2*o(f) - 11*r(f). Determine w, given that c(w) = 0.
7, 17
Let t(z) = -15*z**3 + 45*z**2 + 3*z - 5. Let a be t(3). Suppose 7*h - a*h = -h. Find n such that -3/2*n**2 + 9/2*n + h - 1/2*n**4 - 5/2*n**3 = 0.
-3, 0, 1
Let v be (-72)/(-34) + (4 - 70/17). Factor -1629*a**v + 1638*a**2 + a**4 + 7*a + 0 + 2 + 5*a**3.
(a + 1)**3*(a + 2)
Let z(p) = -11*p**3 + 16*p**2 - 9*p - 180. Let d(n) = -24*n**3 + 32*n**2 - 20*n - 360. Let s(r) = 6*d(r) - 13*z(r). Solve s(h) = 0 for h.
-15, -4, 3
Let g = 75542/566115 + -4/37741. Let 2/3*