5*a**5 + 17 + 0*a + 0*a**2 + 2/3*a**3 + 5/4*a**4. Factor k(d).
d**2*(d + 1)**2*(d + 2)
Let y(b) = -b**3 - 31*b**2 + 67*b + 28. Let w be y(-33). Let m be (-12)/w + -8*(-2)/(-40). Determine j so that -5/4*j**m + 15/4 - 5/2*j = 0.
-3, 1
Let v = 865 + -793. Suppose 0 = 65*k - 47*k - v. Let 38/7*h**k + 10/7*h**5 + 54/7*h**3 + 8/7*h + 0 + 34/7*h**2 = 0. What is h?
-1, -4/5, 0
Let x(f) = -f**3 - 8*f**2 + 2. Let o be x(-8). Suppose o*l - 7*l + 15 = 0. Factor 6*s**2 - 20 - 25*s**l - 20*s - 17*s**2 + 76*s**2.
-5*(s - 2)*(s - 1)*(5*s + 2)
Let d(a) be the second derivative of -55*a + 1/60*a**4 + 0 - 11/10*a**2 + 1/3*a**3. Factor d(t).
(t - 1)*(t + 11)/5
Let m(x) = x**2 - 10*x - 28. Let r be m(12). Let q be -4*(126/105)/(r/10). Factor -96*b**2 + 54*b**2 + 46*b**2 - q - 4*b - 4*b.
4*(b - 3)*(b + 1)
Find w, given that -38/9*w - 44/3 + 2/9*w**2 = 0.
-3, 22
Let c(r) be the third derivative of r**5/30 - 47*r**4/12 + 442*r**3/3 - 4918*r**2. Let c(o) = 0. Calculate o.
13, 34
Let c(n) = -4*n - 11. Suppose 10*f + f = -44. Let i be c(f). Solve 4/7*s**2 + 0 - 1/7*s**i - 3/7*s**4 + 0*s + 0*s**3 = 0.
-2, 0, 1
Let k(n) be the third derivative of n**6/24 + 13*n**5/6 - 45*n**4/8 - 205*n**2. Let k(u) = 0. Calculate u.
-27, 0, 1
Let o(a) be the second derivative of 5*a**4/12 - 595*a**3/6 - 1230*a**2 + 346*a + 2. Let o(i) = 0. Calculate i.
-4, 123
Let d(u) = 3*u**2 + 3*u - 1. Let z(x) = -48*x**2 - 73*x - 29. Let l(h) = -4*d(h) + z(h). What is j in l(j) = 0?
-1, -5/12
Let j(d) be the second derivative of -d**4/24 - 499*d**3/36 - 55*d**2 - 3996*d. Let j(v) = 0. What is v?
-165, -4/3
Suppose -35 = -11*z + 141. Find h, given that 104*h**2 - 120*h**2 + 2*h**5 + z*h**4 + 4*h**3 - 6*h**4 = 0.
-4, -2, 0, 1
Let c(m) be the first derivative of m**4/6 - 1930*m**3/9 + 964*m**2/3 - 4284. Find r such that c(r) = 0.
0, 1, 964
Suppose 5*l + 28 = 2*h, 4*h = -0*h - 2*l + 8. Suppose 50*c + 7061*c**2 + 82*c - h*c**3 + 68 - 7001*c**2 = 0. Calculate c.
-1, 17
Suppose 4*m + t - 678 = 0, -19*t + 334 = 2*m - 16*t. Solve -8*h + 2*h + 75*h**5 - 57*h**2 - 179*h**3 + 62*h**3 + m*h**4 - 65*h**4 = 0 for h.
-2, -1/5, 0, 1
Let p**2 - 231*p - 854*p - 504*p - 72*p - 607*p + 1285956 = 0. Calculate p.
1134
Let t(n) be the second derivative of -n**5/40 - 397*n**4/30 + 1817*n**3/20 - 963*n**2/10 - 10211*n. Let t(h) = 0. What is h?
-321, 2/5, 3
Let h be (6*(-23)/552)/((-1)/8). Let t(u) be the first derivative of 35 + 12*u - 1/5*u**5 + 10*u**h + 7/3*u**3 - 1/2*u**4. Factor t(d).
-(d - 3)*(d + 1)*(d + 2)**2
Suppose 308 + 2051 = 80*q + 439. Let s(j) be the third derivative of -q*j**2 + 0*j - 1/108*j**4 - 1/90*j**5 + 0 + 1/540*j**6 + 1/9*j**3. Factor s(f).
2*(f - 3)*(f - 1)*(f + 1)/9
Let p(s) be the third derivative of -2/3*s**3 - 7/120*s**6 + 1/30*s**7 + 0 - 5/6*s**4 + 1/112*s**8 - 2*s - 2*s**2 - 9/20*s**5. Solve p(y) = 0.
-2, -1, -1/3, 2
Solve 198*u**4 + 15552 + 25692*u**2 + 39832*u - 6*u**5 + 249*u**4 + 3*u**5 - 6520*u**3 + 3656*u - 6*u**5 = 0.
-2/3, 12, 27
Factor 0*r + 14/3*r**2 - 4*r**3 + 0 - 2/3*r**4.
-2*r**2*(r - 1)*(r + 7)/3
Suppose 159*q - 102 = 54*q + 71*q. Let g(w) be the first derivative of -6*w**q + 0*w - 3/2*w**6 - 3/4*w**4 + 6*w**5 + 0*w**2 + 9. Solve g(y) = 0 for y.
-2/3, 0, 1, 3
Let u be ((-3 - 0) + (-11697)/(-5013))*1*(-15)/4. Suppose -61/8*f - 57/8*f**2 + 5/8*f**4 - u - 11/8*f**3 = 0. Calculate f.
-1, -4/5, 5
Let i(y) be the first derivative of -1/2*y**4 + 0*y**3 + 3*y**2 + 4 - 4*y. Suppose i(o) = 0. Calculate o.
-2, 1
Let i(b) = 4*b**2 - 13*b + 8. Let o(c) = 5*c**2 - 12*c + 9. Let h(d) = -2*i(d) + 3*o(d). Let y(k) = 5*k**2 - 9*k + 10. Let z(l) = -3*h(l) + 4*y(l). Factor z(r).
-(r - 1)*(r + 7)
Let r(z) be the second derivative of -z**4/16 - 233*z**3 - 325734*z**2 + 5735*z. Find o such that r(o) = 0.
-932
Suppose -5*g + 4*c = -28, -2*g - 8*c = -13*c - 35. Let m(q) be the second derivative of 0 + 41*q + 7/3*q**3 + 1/6*q**4 + g*q**2. Let m(u) = 0. What is u?
-7, 0
Let r(l) be the first derivative of -l**8/2940 + l**6/315 - l**4/42 - 3*l**3 + 140. Let y(g) be the third derivative of r(g). Solve y(i) = 0 for i.
-1, 1
Let v(r) be the second derivative of -2*r**6/5 + r**5/5 + 40*r**4/3 + 104*r**3/3 + 1145*r. Determine h so that v(h) = 0.
-2, 0, 13/3
Let i(q) = -14*q**2 + 266*q + 2. Let n be i(19). Find g such that 2/5*g - 1/5 - 1/5*g**n = 0.
1
Factor 100/3 + 4*j**2 + 130/3*j.
2*(j + 10)*(6*j + 5)/3
Let v(t) be the first derivative of -t**6/3 - 49*t**5/2 - 3893*t**4/8 - 2039*t**3/3 + 1605*t**2 + 900*t + 379. Suppose v(i) = 0. What is i?
-30, -2, -1/4, 1
Let w(u) be the second derivative of 1/78*u**4 + 0 + 2*u**2 + 9/13*u**3 - 148*u. Factor w(y).
2*(y + 1)*(y + 26)/13
Let z = -5/7933 + 15931/103129. Determine k, given that -10/13 + 8/13*k + z*k**2 = 0.
-5, 1
Suppose 6*q - 14 = -q. Factor 1177 + 2*g**3 + 10*g - 21*g**2 - 1077 + 5*g**q.
2*(g - 5)**2*(g + 2)
Let d(c) be the second derivative of 0*c**2 + 0 - 1/12*c**4 - 1/30*c**6 + 1/4*c**3 - 15*c - 7/40*c**5. Determine o, given that d(o) = 0.
-3, -1, 0, 1/2
Let l(t) be the second derivative of 1/6*t**6 - 5*t**4 - t**5 + 0*t**2 + 119*t + 0 + 0*t**3. Factor l(r).
5*r**2*(r - 6)*(r + 2)
Solve 2088/5*u**2 + 0 + 3/5*u**3 + 0*u = 0 for u.
-696, 0
Let f(s) = -3*s**2 - 6569*s - 1338233. Let k(p) = 2*p**2 + 3282*p + 669118. Let h(c) = 2*f(c) + 5*k(c). Factor h(n).
4*(n + 409)**2
Let i be (-70)/(-21)*12/10. Suppose -i*x = -9 - 3. Suppose 5 - 5*f**2 + 10*f - 7 - x + 0 = 0. What is f?
1
Let -14/3*c**2 + 0*c + 3*c**3 - 1/3*c**4 + 0 = 0. What is c?
0, 2, 7
Suppose 0 = 2*a - 3*a - 5*l + 39, 5*a - 222 = 2*l. Let -184*x - 4 - 154*x**3 + 428*x**3 + a + 78*x**2 - 28*x**4 = 0. Calculate x.
-1, 2/7, 1/2, 10
Solve -5748517*v**2 - 8183558*v**2 - 24*v**4 - 12930*v**3 + 37*v**4 - 16*v**4 = 0 for v.
-2155, 0
Let n(d) = -d**2 + 20*d - 85. Let p be n(9). Let r be 30/p + (-14)/98. Factor 0*g + 2/7*g**3 + 0 + 2/7*g**r.
2*g**2*(g + 1)/7
Suppose -5*x + 2804 = -3*y, 5*x = -38*y + 42*y + 2807. Let g = 2796/5 - x. Suppose 0*u + 0 + 4/5*u**3 + 4/5*u**2 - g*u**5 - 1/5*u**4 = 0. Calculate u.
-2, -1, 0, 2
Suppose 0 = i - 0 + 1, -2*j = -5*i + 5. Let g(n) = -10*n**2 - 6*n + 12. Let f(m) = -12*m**2 - 6*m + 13. Let p(y) = j*g(y) + 4*f(y). Factor p(a).
2*(a - 1)*(a + 4)
Let f(j) be the third derivative of j**6/210 + 16*j**5/105 + 55*j**4/42 - 48*j**3/7 - 550*j**2. Find q such that f(q) = 0.
-9, -8, 1
Let g be (-27 - 2660/(-98))/1. Let h = 62 + -433/7. Factor -g*f + 0 - h*f**2.
-f*(f + 1)/7
Let i(q) be the first derivative of -q**6/9 - 4*q**5/15 + 47*q**4/6 - 88*q**3/3 + 36*q**2 + 11020. Solve i(a) = 0 for a.
-9, 0, 2, 3
Let p(v) be the third derivative of -7/24*v**6 - 1/2*v**5 - 2 + 0*v**7 + 0*v + 0*v**4 + 5/336*v**8 + 0*v**3 + 31*v**2. Let p(o) = 0. Calculate o.
-2, -1, 0, 3
Let a(g) be the second derivative of -1922*g**5/45 - 15221*g**4/18 - 1948*g**3/9 - 188*g**2/9 + 5116*g. Factor a(s).
-2*(4*s + 47)*(31*s + 2)**2/9
Factor 4*y + 2*y + 35*y**2 - 11593*y**3 + 11622*y**3 + 0*y.
y*(y + 1)*(29*y + 6)
Let s(t) be the third derivative of -t**6/480 + 49*t**5/240 - 245*t**4/48 + t**2 + t - 179. Let s(b) = 0. Calculate b.
0, 14, 35
Let j be 6/(27 + -34 - -10*(-175)/(-80) - 10). Find q such that -32/13*q + 2/13*q**5 - j*q**4 + 16/13*q**2 + 30/13*q**3 + 0 = 0.
-1, 0, 1, 4
Let x(h) = -2*h + 23. Let v be x(4). Factor 81*w**3 - v*w**4 + 18*w**5 + 79*w**3 - 163*w**3.
3*w**3*(w - 1)*(6*w + 1)
Let n(h) be the first derivative of 2*h**3/63 + 4*h**2/21 + 8*h/21 + 961. Factor n(s).
2*(s + 2)**2/21
Let c(l) = l**2 + 1186*l + 15251. Let q be c(-13). What is r in 3/2*r**q - 6*r - 18 = 0?
-2, 6
Let m(s) be the third derivative of s**7/140 - 3*s**6/5 + 47*s**5/40 + 13*s**2 + 40*s. Factor m(h).
3*h**2*(h - 47)*(h - 1)/2
Let -6120*k - 1505*k**2 - 245/3*k**3 + 23120/3 = 0. Calculate k.
-68/7, 1
Let c(k) be the first derivative of k**4/12 - 11*k**3 + 400*k**2 - 17152*k/3 + 11835. Let c(v) = 0. What is v?
16, 67
Let w be -2 + 0 + 29968/4360. Let a = -8/109 + w. Factor 36/5*x + 3/5*x**3 - 18/5*x**2 - a.
3*(x - 2)**3/5
Let w be (-2)/7 - (-11800)/(-3850). Let f = w - -40/11. Suppose f*j**2 + 18/7 + 12/7*j = 0. What is j?
-3
Let y = 62 - 59. Suppose g + y*g = 8. Find q such that -4 - 14*q + 4*q**g + q + 13*q = 0.
-1, 1
Let o be 5 + (-2 - (2 + -4)). Let g = 961 - 956. Find b such that -19*b**g - 16*b**5 + 53*b**5 - 17*b**o - 2*b**