 2)**2/7
Let s(h) = 1119*h**2 + 984*h + 239. Let i(t) = -1120*t**2 - 995*t - 240. Let d(q) = 6*i(q) + 5*s(q). Factor d(a).
-5*(15*a + 7)**2
Suppose -2*p - 6 = -3*v - 21, 3*p - v = 19. Suppose p = -7*u + 27. Find a, given that -5/2*a**2 - 2*a**u + 0 - 1/2*a = 0.
-1, -1/4, 0
Let i(v) = v**2 - 6*v - 47. Let j be i(-11). Determine f so that 28*f**3 + 65*f**2 - j*f**3 - 20*f**4 - 29*f**4 - 129*f**2 = 0.
-8/7, 0
Let j = 58 - 49. Suppose -3*m + 6*m - j = 0. Factor -38 - m*r**2 - 54 - 48*r - 100.
-3*(r + 8)**2
Factor -1638*h**5 + 1620*h + 644*h**3 + 1718*h**5 - 3780*h**2 + 840*h**4 + 841*h**3.
5*h*(h + 6)**2*(4*h - 3)**2
Factor -5/4*q**2 - 75/2*q - 180.
-5*(q + 6)*(q + 24)/4
Suppose -l - 12 = -5*c, 132 - 142 = -c + 4*l. Let q(i) be the first derivative of 1/2*i**3 + 15/8*i**c + 9/4*i - 4. Find a, given that q(a) = 0.
-3/2, -1
Let q be 1/(84/(-93)) + (-23247)/(-10332). Solve q*u**2 + 2/7 + 8/7*u = 0.
-1/2
Let v be 1/(2/4) + (39 + 5 - 26). Let s(d) be the first derivative of 10*d + 0*d**5 + v + 5*d**4 - 5/6*d**6 - 10/3*d**3 - 15/2*d**2. Factor s(r).
-5*(r - 1)**3*(r + 1)*(r + 2)
Let r(l) be the first derivative of -l**6/18 - 2*l**5/5 - l**4/12 + 8*l**3/3 - 8*l**2/3 + 3649. Factor r(x).
-x*(x - 1)**2*(x + 4)**2/3
Suppose 3*y - 16 = -p, -12*p + 5*y = -8*p + 21. Let o be (0/3)/(p - 2). Factor o - 30*b**2 + 0 + 33*b**2.
3*b**2
Let l = -44/13 + 360/91. Let a(i) = 10084*i - 100838. Let q be a(10). Determine x so that -l - 2/7*x + 2/7*x**q = 0.
-1, 2
Let o(w) be the second derivative of w**5/5 + 127*w**4 + 24816*w**3 + 353440*w**2 - 8497*w. Find m, given that o(m) = 0.
-188, -5
Let g(z) = -2*z + 35. Let a be g(-7). Let n be 15/(-9)*(a/(-5) + 8). Factor m - 1/3*m**4 - 1/3*m**2 + 2/3 - m**n.
-(m - 1)*(m + 1)**2*(m + 2)/3
Suppose 5*z = -3*n + 36, -3*n - 3*z - 5 = -35. Let h(x) be the first derivative of 0*x + 1/3*x**3 - 1/8*x**4 + n - 1/4*x**2. Factor h(s).
-s*(s - 1)**2/2
Let l(n) be the first derivative of -n**7/1260 + n**6/30 + n**5/180 - n**4/2 - 11*n**3 + 41. Let p(y) be the third derivative of l(y). Factor p(m).
-2*(m - 18)*(m - 1)*(m + 1)/3
Suppose 2*q - 164 = 538. Suppose -d - y + 111 = 0, -4*y + y = -3*d + q. Suppose d*w**3 + w**4 - 112*w**3 + w**4 = 0. Calculate w.
-1, 0
Let y be 280/20*(2/1 - 1728/882). Factor y*s**2 - 48/7 - 44/7*s.
4*(s - 12)*(s + 1)/7
Let y(p) be the third derivative of p**7/210 - 7*p**6/15 + 299*p**5/30 + 217*p**4 + 2883*p**3/2 + 147*p**2. Find q such that y(q) = 0.
-3, 31
Let f be ((-44)/6 + 6)*(-3)/(-2). Let t be 3 + (0 + f)/(0 - 2). Solve 13*x**t + 2*x**2 - 2*x**3 - 2 - 15*x**4 + x + 2*x**5 + 2*x**2 - x**5 = 0 for x.
-1, 1, 2
Let d be 296/(-64) - (-5 + -4 + 4). Let h(m) be the third derivative of 0*m + 1/40*m**5 + 9/4*m**3 + d*m**4 + 0 - 13*m**2. Suppose h(y) = 0. What is y?
-3
Let t(m) be the second derivative of -7*m + 0 + 2/3*m**3 - 2/3*m**4 + 4*m**2 - 1/5*m**5. Let t(h) = 0. What is h?
-2, -1, 1
Factor -43*u**2 + 66*u + 15*u**2 + 12*u**2 + 14*u**2 - 400.
-2*(u - 25)*(u - 8)
Let k(d) be the third derivative of -d**6/900 + 271*d**5/450 + 18*d**2 - d - 27. Factor k(s).
-2*s**2*(s - 271)/15
Let o(t) = -t**2 + 3*t + 20. Let x be o(6). Solve -2393*z**3 + 2399*z**3 - 6*z - 3*z**4 + 2*z**2 + z**x = 0.
-1, 0, 1, 2
Let v(w) be the third derivative of w**7/42 - 25*w**6/12 + 191*w**5/4 + 1625*w**4/6 + 1690*w**3/3 - 227*w**2. Let v(j) = 0. Calculate j.
-1, 26
Suppose 0 = -27*a + 26*a + 524. Let y = 527 - a. Factor 0*b - 2/7*b**2 + 0 + 2/7*b**y.
2*b**2*(b - 1)/7
Let j = -6812/51 - -2316/17. Determine l, given that 8/3 + j*l - 2*l**4 - 14/3*l**2 - 20/3*l**3 = 0.
-2, -1, 2/3
Let s = 126 + -436/3. Let j = 20 + s. Factor 1/6*d**4 + 1/3*d**3 - j*d**2 + 1/2 - 1/3*d.
(d - 1)**2*(d + 1)*(d + 3)/6
Factor -99/2*c - 1/4*c**2 + 199/4.
-(c - 1)*(c + 199)/4
Let p be 56/168 + 1604/(-6). Let y = 271 + p. Determine g, given that 2/5*g**2 + 0 + 16/5*g**3 - 4/5*g + 2*g**y = 0.
-1, 0, 2/5
Let u(i) = -i**2 + i + 84. Let q be u(0). Let v be 132/q - (-3)/7. What is h in 46 - 15*h + h**v + 3*h - 10 = 0?
6
Let r(w) be the third derivative of 1/112*w**8 + 4/35*w**7 + 0 + 4*w**3 + 1/8*w**4 - 1/20*w**6 - 213*w**2 - 4/5*w**5 + 0*w. What is u in r(u) = 0?
-8, -1, 1
Let l(o) = 2*o**2 + 463*o - 240748. Let v be l(250). Find f such that 0*f + 0 - 3/5*f**4 + 18/5*f**v - 3/5*f**3 = 0.
-3, 0, 2
Factor -394*y**4 - 276*y**2 + 199*y**4 + 194*y**4 + 784 - 22*y**3 - 9*y**3 - 476*y.
-(y - 1)*(y + 4)*(y + 14)**2
Let b(g) be the first derivative of g**3/6 + 19*g**2/4 + 30*g - 588. Factor b(o).
(o + 4)*(o + 15)/2
Suppose -4*k + 20 = -5*u + k, 0 = u + k + 12. Let a be (15 - 18)*u/6. Factor d**5 + 0*d**5 + 20*d**2 - 10*d**4 + a*d**5 - 10*d**2 - 5*d.
5*d*(d - 1)**3*(d + 1)
Let x be 1/3*9 - 0. Let 8*v**x - 5*v**2 - 4*v + 17*v**3 - 10*v**4 + 0*v**2 - 6*v = 0. Calculate v.
-1/2, 0, 1, 2
Let y(q) be the second derivative of q**4/72 - 61*q**3/36 + 39*q**2 - 7*q + 561. Factor y(m).
(m - 52)*(m - 9)/6
Suppose -66*g**2 - 21*g**4 - 14*g**3 + 58*g**4 - 24*g + 34*g**2 - 23*g**4 - 16*g**4 = 0. Calculate g.
-3, -2, 0
Find h, given that 690*h**3 + 400*h + 3*h**4 + 41557*h**2 + 2880 - 103*h**4 - 15*h**3 - 43257*h**2 + 5*h**5 = 0.
-1, 4, 9
Suppose 2240 = 597*u + 683*u + 1119 - 15519. Suppose 0 - u*c**2 - 2/3*c = 0. What is c?
-2/39, 0
Let d(l) be the second derivative of -l**4/6 + 9*l**3 - 176*l**2 + 40*l. Find t, given that d(t) = 0.
11, 16
Let b(j) be the first derivative of -j**4/28 - j**3/2 - 15*j**2/7 - 66*j - 92. Let z(v) be the first derivative of b(v). Factor z(u).
-3*(u + 2)*(u + 5)/7
Let v be ((-17)/2 - 1)*-86. Suppose v - 407 - 410 + q**2 - 2*q = 0. Calculate q.
0, 2
Let u(r) be the first derivative of -7 + 0*r**2 - 1/24*r**6 + 0*r**3 - 2*r + 5/24*r**4 + 1/16*r**5. Let z(s) be the first derivative of u(s). Factor z(b).
-5*b**2*(b - 2)*(b + 1)/4
Let g = 25373/63395 - 3/12679. Factor -12 + 26/5*a + g*a**2.
2*(a - 2)*(a + 15)/5
Let t(r) = r**3 - 12*r**2 - 11*r + 11. Let m be t(14). Suppose 8*x - 265 = -m. Suppose 0 - 1/3*p**3 + 0*p + 1/3*p**4 - 1/3*p**x + 1/3*p**5 = 0. Calculate p.
-1, 0, 1
Let i(c) be the first derivative of 1/8*c**4 - 6*c - c**2 + 1/2*c**3 + 12. Find w such that i(w) = 0.
-3, -2, 2
Let o(s) = 95*s - 2753. Let c be o(29). Let p = -2/605 - -6056/1815. Find g, given that 2*g**2 - c*g**4 + 8/3*g**5 + 2/3*g + 0 - p*g**3 = 0.
-1, -1/4, 0, 1
Factor -1/2*y**2 - 1283202 + 1602*y.
-(y - 1602)**2/2
Let t(z) be the second derivative of z**4 - 579*z**3/2 - 435*z**2/2 + 2252*z. Let t(m) = 0. Calculate m.
-1/4, 145
Determine b so that 8*b**3 - 263*b**2 + 62*b + 615 - 3*b**3 + 66*b**2 - 18*b**2 + 333*b = 0.
-1, 3, 41
Suppose -3*j = 5*x - 79, 0 = 5*j - 158 + 143. Suppose -25*m = -x*m. Suppose m + 0*v + 36/7*v**2 + 60/7*v**3 + 9/7*v**4 = 0. What is v?
-6, -2/3, 0
Let f(i) be the first derivative of -4*i**3/3 + 1412*i**2 - 498436*i + 1519. Suppose f(q) = 0. What is q?
353
Let t(u) be the third derivative of -u**8/5040 - u**7/252 - u**6/30 + 3*u**5/20 - 18*u**2. Let g(s) be the third derivative of t(s). Factor g(k).
-4*(k + 2)*(k + 3)
Factor -381*b**2 - 301467/5 + 3/5*b**3 + 303369/5*b.
3*(b - 317)**2*(b - 1)/5
Let i(z) be the second derivative of -z**4/27 + 7424*z**3/27 - 6889472*z**2/9 - z + 761. Factor i(r).
-4*(r - 1856)**2/9
Let j(a) be the first derivative of 24*a - 2*a**2 + 86 - 4/9*a**3. Suppose j(k) = 0. What is k?
-6, 3
Let j(s) be the first derivative of -5/2*s**3 - 24 + 5/8*s**4 + 3/2*s**5 + 5/12*s**6 + 0*s - 5/2*s**2. What is f in j(f) = 0?
-2, -1, 0, 1
Let c(o) be the second derivative of -o**4/15 - 216*o**3/5 + 130*o**2 + 944*o. Determine u so that c(u) = 0.
-325, 1
Suppose 81 = 51*d - 48*d. Factor -d*g + 82*g - 35*g + 5*g**2 - 25*g.
5*g*(g - 1)
Let v(f) = -2*f**3 - 3*f**2 - 2*f. Let o be v(-1). Suppose 4*r = -5*d + 14, 3*d = -5*r - 3 + o. Factor 2*n**2 - 24*n - 2*n**2 - d*n**2 + 2*n**2.
-4*n*(n + 6)
Let y = 0 + 8. Suppose -g - y = -5*g. Let r(d) = -2*d**3 - 6*d**2 - 6*d. Let k(m) = -2*m**3 - 5*m**2 - 5*m. Let q(h) = g*k(h) - 3*r(h). Factor q(t).
2*t*(t + 2)**2
Let o(q) be the third derivative of -q**6/30 + 2*q**5/3 + 17*q**4/6 - 44*q**3 - 2*q**2 + 2*q. Factor o(a).
-4*(a - 11)*(a - 2)*(a + 3)
Let m(x) be the third derivative of 0*x**3 - 1/420*x**6 + 0*x - 2/105*x**5 + 3 - 14*x**2 + 1/735*x**7 + 1/21*x**4. Factor m(r).
2*r*(r - 2)*(r - 1)*(r + 2)/7
Suppose -10*q - 389 = -131