3*h**3 + 1148/3*h**2 + 0 + 0*h.
-2*h**2*(h - 574)/3
Let t(r) be the first derivative of -r**6/180 - r**5/5 - 11*r**4/12 + 124*r**3/3 + 66. Let u(p) be the third derivative of t(p). Let u(v) = 0. Calculate v.
-11, -1
Suppose -3*h = w + 58, -4*h + 3*h = w + 50. Let m = w + 46. Solve 0*b - 3/4*b**5 - 3*b**4 + 3/4*b**3 + 3*b**2 + m = 0.
-4, -1, 0, 1
Let z be (-2)/(-9)*12 + (-2)/(-6). Suppose -120*f**3 - 21*f**2 - 113*f**3 + 230*f**z + 24*f = 0. Calculate f.
-8, 0, 1
Let d = -1135502317 - -10166152221093/8953. Let u = 2/1279 - d. Factor u + 12/7*v + 2/7*v**2.
2*(v + 3)**2/7
Let l be (-5)/(-35) + (23 - (14 - -4)). Let 256/7*n + l*n**5 + 524/7*n**2 + 508/7*n**3 + 48/7 + 228/7*n**4 = 0. Calculate n.
-3, -1, -2/3
Determine j so that 722 + 271*j + j**2 - 32*j + 357*j - 661 + 534 = 0.
-595, -1
Let p(v) be the second derivative of 0*v**2 + 4/3*v**3 + v**4 + 205 + 2*v. Suppose p(u) = 0. Calculate u.
-2/3, 0
Suppose 274/7*y - 352/7 - 22/7*y**2 = 0. Calculate y.
16/11, 11
Let g = 206 + -144. Suppose 3*d - g + 2 = 0. Suppose d + a**3 + a**2 - 24 - 2*a**3 + 4*a = 0. Calculate a.
-2, 1, 2
Suppose -11*c + 168 = -5*c. Suppose -31*i + 6 = -c*i. Factor -6*d**3 + 2*d**2 + i*d**5 + d**4 + 31*d - 3*d**4 - 27*d.
2*d*(d - 2)*(d - 1)*(d + 1)**2
Let v(b) be the first derivative of 0*b + 0*b**2 + 66 + 2/39*b**3 + 1/26*b**4. Solve v(w) = 0.
-1, 0
Let s(y) be the second derivative of 7*y**4/30 - 172*y**3/15 + 96*y**2/5 - 4445*y. Factor s(k).
2*(k - 24)*(7*k - 4)/5
Let x(b) be the second derivative of -7/78*b**4 + 19/39*b**3 - 29*b + 0 + 6/13*b**2. Factor x(c).
-2*(c - 3)*(7*c + 2)/13
Let r(f) = -1067*f**2 + 337*f - 41. Let m(w) = -213*w**2 + 69*w - 8. Let z(s) = -22*m(s) + 4*r(s). Solve z(l) = 0 for l.
1/11, 6/19
Let j be 33/(-18) - (-33715)/(-3678) - (-49)/3. Let -8 - 2/3*y**2 - j*y = 0. Calculate y.
-6, -2
Let l(n) be the second derivative of 25/6*n**3 + 2*n + 5/12*n**4 + 0*n**2 - 164. Suppose l(v) = 0. Calculate v.
-5, 0
Let j be (208/78)/((-4)/42). Let v be (-131)/(-7) - 8/j. Factor u - 24*u**2 + 44*u**2 - v*u**2.
u*(u + 1)
Let v(g) be the first derivative of g**4/28 - 307*g**3/21 - 22*g**2 + 350. What is j in v(j) = 0?
-1, 0, 308
Let x be ((-188)/15181)/(1 - (-76)/(-68)). Find c, given that 6/19 + 4/19*c - x*c**2 = 0.
-1, 3
Let i(l) = 5*l**2 + 11*l + 4. Let o be i(-2). Determine g so that 60*g + 64*g**o - 304 + 304 + 4*g**3 = 0.
-15, -1, 0
Let f = 1369/252 - 23/126. Let w(i) be the first derivative of 3*i - 9/2*i**3 + 4 + f*i**2. Find s, given that w(s) = 0.
-2/9, 1
Suppose 106 = 5*r + 2*l, -5*r + 4*r + 12 = 5*l. Suppose 123*n = 112*n + r. Determine c, given that 2/5 - 3/5*c + 1/5*c**n = 0.
1, 2
Let s(u) be the second derivative of u**7/294 + 13*u**6/210 + 2*u**5/7 + 3*u**4/7 - 6*u - 109. Solve s(h) = 0 for h.
-9, -2, 0
Factor 37454 - p**2 + 8*p**2 - 3310*p - 12*p**2 - 335292 - 249967.
-5*(p + 331)**2
Find j such that -6608/13*j**2 - 2/13*j**5 - 2022/13*j**3 - 120/13*j**4 + 0 - 4704/13*j = 0.
-28, -3, -1, 0
Let j(k) be the second derivative of k**4/12 + 8*k**3 + 288*k**2 - 34*k - 21. Factor j(d).
(d + 24)**2
Suppose 849 = a - 5*p, 3*a - 1722 = a + 4*p. Let y = a + -866. Factor 1/3*f**y - f**2 + 0 + 2/3*f.
f*(f - 2)*(f - 1)/3
Determine l so that -4/7*l**3 + 492*l**2 - 141204*l + 13508516 = 0.
287
Let f(i) = 27*i**2 - 502*i + 1598. Let w be f(17). Factor 1/3*j**2 + w - 34*j.
(j - 51)**2/3
Let n(k) = -23*k**2 - 497*k - 735. Let h be n(-20). Factor 1/3*l + 8/3*l**4 + 40/9*l**3 + 26/9*l**2 - 2/9 + 5/9*l**h.
(l + 1)**3*(l + 2)*(5*l - 1)/9
Let x = 13 - -193. Let l = x + -202. Solve 0 + 2/5*b**l - 8/5*b**2 + 16/5*b - 4/5*b**3 = 0.
-2, 0, 2
Let -3*u - 2021*u**4 - 344 + 2019*u**4 - 2824 - 6*u**3 - 21*u + 200*u**2 = 0. Calculate u.
-11, -4, 6
Let q(t) = -63*t - 738. Let n be q(-12). Let r(m) be the third derivative of 0*m**3 + 1/80*m**6 + 0*m**5 + n*m**2 + 0 - 1/280*m**7 + 0*m**4 + 0*m. Factor r(v).
-3*v**3*(v - 2)/4
Let k(i) be the first derivative of i**4 - 2/5*i**5 - 23/4*i**2 + 5*i + 299 - 1/12*i**6 + 5/3*i**3. Factor k(l).
-(l - 1)**3*(l + 2)*(l + 5)/2
Suppose 132 = 3*c + 21. Let l be 148/c - (-8)/(-3). Factor 0 + l*p**5 + 20*p**3 - 28/3*p**4 - 12*p**2 + 0*p.
4*p**2*(p - 3)**2*(p - 1)/3
Find g, given that -10*g**3 - 93*g**2 - 1056*g + 943*g - 1987*g + 1125 - 35*g**2 - 167*g**2 = 0.
-15, 1/2
Let t be 1/((-347)/6)*5/(-45). Let i = t + 1378/5205. Suppose -4/15*a**3 - 2/15 + i*a + 2/15*a**4 + 0*a**2 = 0. What is a?
-1, 1
Suppose -2*v + 82 - 74 = 0. What is k in -9*k**4 - 4*k**4 + 16*k**2 - 15*k + k**5 + 9*k**v - k = 0?
-2, 0, 2
Let n = -8921 - -8923. Let v(x) be the first derivative of -585/4*x**n + 32 - 21/8*x**4 + 36*x**3 + 75*x. Suppose v(d) = 0. Calculate d.
2/7, 5
Find h, given that h + 3105*h**2 - 3099*h**2 - 4*h - 6 + 3*h**3 = 0.
-2, -1, 1
Determine m, given that 84 - 60*m**4 - 5*m**3 + 60*m**2 - 14*m**3 + 16*m**5 - 84 + 16*m - 13*m**3 = 0.
-1, -1/4, 0, 1, 4
Let o(w) = -2*w**4 + 2*w**3 - w**2 - 1. Let j(g) = g**4 - 18*g**3 - 70*g**2 - 56*g + 145. Let s(v) = -2*j(v) - 2*o(v). Solve s(y) = 0 for y.
-9, -4, 1
Let r(b) = 7*b**2 + 199*b + 478. Let f be r(-26). Suppose -3*w + 69 = 3*t, -11 = 5*w + 3*t - 130. Solve 7*v**2 + 56 - 7*v**2 - f - w*v + 25*v**3 - 20*v**2 = 0.
-1, 4/5, 1
Let x be ((-2)/4)/(40/(-16)). Let z(l) = 7*l**2 + 158*l - 235. Let n be z(-24). Let 4/5*i**3 - 3/5*i**n - x*i + 4/5*i**4 - 6/5*i**2 + 2/5 = 0. What is i?
-1, -2/3, 1
Let n = -89 - -113. Let -87*v**4 + 22*v**2 + 3*v**3 + 37*v**4 + 57*v**3 - n*v - 8 = 0. What is v?
-2/5, 1
Let p(n) = 45*n**3 + 1091*n**2 - 2280*n + 211. Let y(w) = -44*w**3 - 1062*w**2 + 2280*w - 210. Let u(j) = -4*p(j) - 6*y(j). Suppose u(h) = 0. What is h?
-26, 2/21, 2
Let g = 283548 - 1417732/5. Factor -g*h**2 + 2/5*h**3 + 6/5*h + 0.
2*h*(h - 3)*(h - 1)/5
Let m be 234/1495*(-4416)/(-576). Factor 318/5 - m*a**2 + 312/5*a.
-6*(a - 53)*(a + 1)/5
Determine p so that 56*p + 2*p**2 + p**2 + 115*p + 3723 + 99*p = 0.
-73, -17
Let r(l) be the third derivative of l**6/360 + 13*l**5/90 + 181*l**4/72 + 56*l**3/3 + l**2 - l - 83. Solve r(h) = 0 for h.
-16, -7, -3
Let a(x) be the second derivative of 9*x**6/20 - 816*x**5/5 + 16135*x**4 + 74176*x**3 + 44652*x**2 - 350*x. Find n such that a(n) = 0.
-2, -2/9, 122
Let j be 12 + -9 - (-9 - (-1 - -1)). Let m = j - 5. Find c such that c**3 - 3*c**3 - 6*c + m*c**2 - 15*c**2 = 0.
-3, -1, 0
Let j(t) = 1410*t - 23970. Let w be j(17). Factor 3/2*i**3 - 18*i - 6*i**2 + w.
3*i*(i - 6)*(i + 2)/2
Suppose -5*c**4 - 53/2*c - 1/2*c**5 + 11 + 14*c**2 + 7*c**3 = 0. What is c?
-11, -2, 1
Let f = -369369/4 + 3324353/36. Let -f - 2/9*z**5 - 50/9*z**2 - 32/9*z - 14/9*z**4 - 38/9*z**3 = 0. What is z?
-2, -1
Find v such that -36 + 15*v - 1/2*v**3 + 1/2*v**2 = 0.
-6, 3, 4
Suppose -3*m - 5*j = -39 + 63, -20 = 5*m + 5*j. Factor -44/3*h + 80/3*h**m - 8 - 4*h**3.
-4*(h - 6)*(h - 1)*(3*h + 1)/3
Let u be 4 - (4 + 3) - (100/(-12) - -5). Let a(t) be the first derivative of -3/32*t**4 + 8 + u*t**3 + 1/4*t - 7/16*t**2. Factor a(y).
-(y - 1)**2*(3*y - 2)/8
Let y be (-12)/90*-5*(-3)/(-40). Let q(m) be the first derivative of 1/2*m**2 - 9 + 2/5*m + 4/15*m**3 + y*m**4. Determine a, given that q(a) = 0.
-2, -1
Let d(p) be the first derivative of -p**3/8 - 717*p**2/16 - 531*p/2 + 987. What is o in d(o) = 0?
-236, -3
Let d(t) be the first derivative of t**4/20 - 176*t**3/15 + 349*t**2/10 - 174*t/5 + 1091. Determine j so that d(j) = 0.
1, 174
Let p(g) = 22*g + 3*g**2 + 123 - 48 - 63. Let q be p(-7). Factor -69/2*t**4 - 63*t**3 + 0 - 6*t**q + 12*t - 30*t**2.
-3*t*(t + 2)**3*(4*t - 1)/2
Let z be (11 - 2268/204)/((-30)/(-56)). Let b = -1/51 - z. Factor 0*t + 0*t**2 - 1/5*t**3 + 0 - b*t**4.
-t**3*(t + 1)/5
Let b(r) be the third derivative of -r**8/168 - 19*r**7/2205 + r**6/630 + 1478*r**2. Find k, given that b(k) = 0.
-1, 0, 2/21
Let r be (-64 + 31 + 33)/((-2 - 3) + -1). What is t in 15/2*t**3 - 10/3*t**2 + 5/6*t**5 + r + 0*t - 5*t**4 = 0?
0, 1, 4
Let h(v) be the second derivative of v**6/40 + 99*v**5/80 + 255*v**4/16 + 575*v**3/8 - 228*v + 1. Factor h(p).
3*p*(p + 5)**2*(p + 23)/4
Let j = -178 - 38. Let u = -1509/7 - j. Let u*p**2 + 9/7*p + 0 = 0. What is p?
-3, 0
Let i(y) = y + 2. Let w be i(1). Suppose 12 = w*p + 3*p. Let -18*a**3 + 6*a**3 - 6*a**2 + a**2 + 19*a**3 - p*a = 0. Calculate a.
-2/7, 0, 1
Find v, given that 60*v + 4/5*v**2 - 616/5 