6 + 248*y - 164*y.
5*(y - 10)**2*(y - 1)
Factor 4*m**2 - 40 - 283/3*m.
(m - 24)*(12*m + 5)/3
Determine d so that -2351256*d**2 + 1471886256*d**3 - 2/9 + 1252*d = 0.
1/1878
Let m(w) be the first derivative of -1/78*w**4 - 4/39*w**3 + 0*w**2 - 29 - 31*w. Let y(r) be the first derivative of m(r). Suppose y(o) = 0. Calculate o.
-4, 0
Let i(y) be the first derivative of -y**3/6 - 11*y**2 + 96*y - 1059. What is x in i(x) = 0?
-48, 4
Suppose -5*w - 1 + 11 = 0. Find a such that -a**5 + 23*a**3 - 5*a**3 - 8*a**w - a**4 + 3*a**5 - 11*a**4 = 0.
0, 1, 4
Let y(p) be the third derivative of -p**7/105 - p**6/12 + 8217*p**2. Let y(n) = 0. Calculate n.
-5, 0
Suppose -8*j + 12 = -4. Let -70*c + 0 + 44*c + 5 + 36*c + 5*c**j = 0. What is c?
-1
Suppose 0 = 101*l + 1773*l - 224*l - 6600. Determine w, given that 1/2 - 2*w - 22*w**3 - l*w**5 - 13*w**2 - 31/2*w**4 = 0.
-1, 1/8
Suppose -39*s + 2946 = -34*s - 4*t, -3*s - 2*t = -1750. Suppose 598 = 4*j + s. Factor 2/21*g**2 - 2/21*g**j + 0*g + 0.
-2*g**2*(g - 1)/21
Let a be -57 + (-60)/6 - 3. Let o be (-16)/a + (-174)/(-145). Factor -2/7*t**2 - 12/7*t - o.
-2*(t + 1)*(t + 5)/7
Let m be 1691/534 + (-2)/3. Let u(k) be the first derivative of -5*k**3 - m*k**2 + 0*k - k**5 - 5 - 15/4*k**4. Factor u(f).
-5*f*(f + 1)**3
Let d(o) be the first derivative of o**5/30 + 11*o**4/6 + 7*o**3 - 5*o**2/2 - 61. Let c(i) be the second derivative of d(i). What is r in c(r) = 0?
-21, -1
Let x(f) be the first derivative of -f**5/20 + 27*f**4/8 - 65*f**3 + 169*f**2 + 3033. Let x(b) = 0. What is b?
0, 2, 26
Let s = -50187/7 + 200755/28. Factor s*m**2 + 0 - 1/2*m.
m*(m - 2)/4
Let t be (-168)/(-864) + 3/8*30/45. What is r in 0 + t*r**2 + 4/9*r = 0?
-1, 0
Let c(z) be the first derivative of -z**4/22 - 2*z**3/33 + 145*z**2/11 - 26*z + 2653. Find d, given that c(d) = 0.
-13, 1, 11
Let a(b) = b**3 + b**2 + b + 1. Let n(y) = -4*y**3 + 12*y**2 - 12*y - 28. Suppose 3*p - 21 = -45. Let q(s) = p*a(s) - n(s). Let q(f) = 0. What is f?
-5, -1, 1
Let l(w) be the first derivative of w**4/20 + 70*w**3/3 + 15136*w**2/5 - 61952*w/5 + 627. What is j in l(j) = 0?
-176, 2
Let n(c) be the third derivative of -c**6/30 - 4*c**5/3 - 17*c**4/2 + 981*c**2. Let n(g) = 0. What is g?
-17, -3, 0
Let o(k) be the first derivative of -2*k**3/57 + 6*k**2/19 + 704*k/19 + 1575. Factor o(n).
-2*(n - 22)*(n + 16)/19
Let k(o) = 1. Let f(d) = 116*d**2 + d + 10. Let g(i) = -f(i) + 5*k(i). Let z(q) = -116*q**2 - 2*q - 6. Let v(s) = -6*g(s) + 5*z(s). Let v(j) = 0. What is j?
0, 1/29
Determine j, given that -22*j**2 + 385*j**2 - 2362671*j**3 - j**4 + 184 + 2362759*j**3 + 458*j = 0.
-2, -1, 92
Let l be (-125)/(-20) + (-3)/(-4). Find t, given that -6*t - 6*t + l*t**3 + 44*t**2 + 9*t**3 = 0.
-3, 0, 1/4
Let t(p) be the third derivative of p**6/320 - p**5/16 + p**4/4 + 2140*p**2. Determine a, given that t(a) = 0.
0, 2, 8
Let b be 6/(-6)*29*-89 - -5. Factor -8*n**2 - b*n + 1 + 2591*n + 4 - 2.
-(n - 1)*(8*n + 3)
Let r(c) = -2054*c + 20542. Let g be r(10). Let 1/2*d**4 - 33*d**3 + 512 + 1153/2*d**g - 1056*d = 0. Calculate d.
1, 32
Suppose -2/11*j**2 + 0 - 62/11*j = 0. Calculate j.
-31, 0
Let m(t) be the second derivative of 65*t**7/112 + 1921*t**6/80 + 393*t**5/20 + 29*t**4/8 + 3631*t. What is k in m(k) = 0?
-29, -2/5, -2/13, 0
Let r(d) be the first derivative of -d**3 - 315*d**2/2 - 618*d + 2057. Factor r(m).
-3*(m + 2)*(m + 103)
Suppose x = 5*x + 5*j + 392, -5*x + j - 461 = 0. Let t be (-4 - 1)*31/x. Factor -2/3*q**2 + 0 - t*q**3 - 1/3*q**5 - 4/3*q**4 + 0*q.
-q**2*(q + 1)**2*(q + 2)/3
Let g(d) be the first derivative of -2*d**5/65 + 19*d**4/26 - 22*d**3/13 - 19*d**2/13 + 68*d/13 - 1595. Determine v so that g(v) = 0.
-1, 1, 2, 17
Let m(q) = 5*q**2 + 47 + 25*q + 93 - 20. Let i(r) = r**2. Let j(p) = 10*i(p) - m(p). Let j(v) = 0. What is v?
-3, 8
Let w(m) be the second derivative of m**4/42 - 37*m**3/21 + 232*m**2/7 - 467*m. Factor w(t).
2*(t - 29)*(t - 8)/7
Factor 168*a**4 - 1958*a**2 - 15*a**3 + 2183*a**2 + 5*a**5 - 193*a**4 - 270*a.
5*a*(a - 3)**2*(a - 2)*(a + 3)
Let q = 589636 + -589634. Factor -8/7*v**q - 8*v + 2/7*v**3 - 64/7.
2*(v - 8)*(v + 2)**2/7
Let d be (-24)/16*598/351 - (-6 - -3). Let f(s) be the second derivative of 8/9*s**2 - d*s**3 + 0 - 1/27*s**4 - 32*s + 1/30*s**5. Factor f(v).
2*(v - 2)*(v + 2)*(3*v - 2)/9
Let l be (-7542)/(-2933) - 18/7. Let t = 2 + 1. Factor 2*n**t - 3/2*n**4 + 1/2*n**2 + l - n.
-n*(n - 1)**2*(3*n + 2)/2
Let c(m) be the first derivative of m**6/60 + m**5/10 - m**4/12 - m**3 + 3*m**2 - 12*m + 2. Let v(d) be the second derivative of c(d). Factor v(k).
2*(k - 1)*(k + 1)*(k + 3)
Let h(u) = u**3 - 20*u**2 + 17*u + 38. Suppose -49 = 5*l + 4*a - 164, 3*a = 4*l - 61. Let x be h(l). Solve x + 1/2*p**2 + 1/2*p = 0 for p.
-1, 0
Let l(p) = 4*p**2 - 2. Let w be l(-1). Solve 5*u**3 - 3*u**3 + 136*u**w - 116*u**2 = 0 for u.
-10, 0
Let r(x) = -4*x**3 - x**2 + 11*x - 16. Suppose 58 = -17*w + 143. Let q(k) = -4*k**3 - 2*k**2 + 10*k - 16. Let a(h) = w*q(h) - 6*r(h). Let a(l) = 0. Calculate l.
-2, 1, 2
Suppose -g = -3*g - 12. Let w be (-3)/4*16/g. Find f such that f**2 - 2*f**2 - 192 + 48*f - 2*f**w = 0.
8
Factor -111*q**4 + 11*q**3 - 35*q + 191*q + 114*q**4 + 94*q**3 + 57*q**3 + 315*q**2.
3*q*(q + 1)**2*(q + 52)
Let u(y) = -4*y**2 - 304*y - 3838. Let p be u(-16). Factor 27/2*k + 3/4*k**p + 51/4.
3*(k + 1)*(k + 17)/4
Let p(n) = 9*n**4 - 69*n**3 - 94*n**2 - 36*n + 4. Let v(k) = -19*k**4 + 137*k**3 + 184*k**2 + 73*k - 9. Let i(c) = 9*p(c) + 4*v(c). Suppose i(h) = 0. What is h?
-1, -2/5, 0, 16
Suppose y - 5*t = -2*y + 41, -5*t - 29 = -2*y. What is n in -15*n**4 - 9*n - 21*n**2 + 90 + 57*n**3 - y*n**5 - 90 = 0?
-3, -1/4, 0, 1
Let k(f) = -f**3 + 12*f**2 - 10*f - 8. Let n be k(11). Suppose 27 - 59 + 27 - 15*c - 25*c**n + 45*c**2 = 0. Calculate c.
-1/5, 1
Let p be 6/3 - 1/2*0. Factor -4*c + 6 - 1 - 9*c**2 + 3 + 4*c**3 + c**p.
4*(c - 2)*(c - 1)*(c + 1)
Let r = 55 + -25. Let h = r - 28. Factor 46*n - 43*n + 16*n**h - 13*n**2.
3*n*(n + 1)
Let p(b) be the third derivative of -2*b**7/315 - 19*b**6/90 - 2*b**5/5 + 426*b**2 + 1. Determine s so that p(s) = 0.
-18, -1, 0
Let i(k) = -5*k**2 + 1924*k + 1032256. Let t(g) = 6*g**2 - 1906*g - 1032256. Let b(j) = -7*i(j) - 6*t(j). Determine d so that b(d) = 0.
-1016
Let i = 324597 - 324593. Find g such that -2/5*g**i + 0 - 24*g**2 - 144/5*g - 28/5*g**3 = 0.
-6, -2, 0
Suppose -24*p + 0 - 248/3*p**2 + 2*p**4 - 94/3*p**3 = 0. Calculate p.
-2, -1/3, 0, 18
Let k(h) = 80*h**3 + 1630*h**2 + 5719*h - 2578. Let b(s) = -20*s**3 - 408*s**2 - 1430*s + 644. Let r(y) = 9*b(y) + 2*k(y). Determine u, given that r(u) = 0.
-16, -5, 2/5
Let m(h) be the second derivative of 0*h**3 + 1/3*h**4 + 0*h**6 + 3*h + 0*h**2 + 3 + 1/21*h**7 - 3/10*h**5. Factor m(s).
2*s**2*(s - 1)**2*(s + 2)
Let r(z) be the second derivative of 0 - 1/63*z**7 + 7/9*z**4 + 20/9*z**3 - 4/45*z**6 + 8/3*z**2 - 27*z - 1/30*z**5. Let r(k) = 0. What is k?
-2, -1, 2
Suppose 96*d + 1608 = 93*d. Let s = 540 + d. Suppose -5/7*w**2 + 0 - 2/7*w - 3/7*w**3 + 1/7*w**5 + 1/7*w**s = 0. What is w?
-1, 0, 2
Let 679*y - 317*y**2 - 5*y**4 + 2332*y**2 + 680*y - 1359*y - 90*y**3 = 0. What is y?
-31, 0, 13
Let t be 1/(-4) + (-10)/(-40). Suppose -210*y - 130 = -275*y. Factor t*m - 1/2*m**4 + 0 + 0*m**y - m**3.
-m**3*(m + 2)/2
Let n(f) = -13*f**3 + 301*f**2 + 306*f. Let l(b) = 15*b**3 - 300*b**2 - 306*b. Let j(p) = 8*l(p) + 9*n(p). Suppose j(z) = 0. What is z?
-102, -1, 0
Let i(j) be the first derivative of 0*j**2 + 1/10*j**6 + 0*j**3 + 36 - 3/5*j**5 + 10*j + 0*j**4. Let f(v) be the first derivative of i(v). Solve f(d) = 0.
0, 4
Let h = -119 + 122. Factor -p**5 - 3*p**5 + 9*p**5 - 35*p**2 - 65*p**h - 25*p**4.
5*p**2*(p - 7)*(p + 1)**2
Let p(n) be the second derivative of n**3/3 - 7*n**2/2 + 14*n. Let i be p(8). Factor i - 37 - 68*k - 40*k**2 - 4*k**3 - 4.
-4*(k + 1)**2*(k + 8)
Let m(x) be the third derivative of 2/525*x**7 + 1/150*x**5 + 0*x**3 + 0*x + 91*x**2 + 0 + 1/1680*x**8 + 0*x**4 + 1/120*x**6. Factor m(a).
a**2*(a + 1)**2*(a + 2)/5
Let v(l) = -24*l**2 - 288*l - 6905. Let i(a) = -334 - 96*a - 7*a**2 - 933 - 1035. Let k(t) = -7*i(t) + 2*v(t). Suppose k(d) = 0. Calculate d.
-48
Let a = -491 + 496. Suppose a*l - 12 = k, -7*l + 7*k = -12*l + 36. Determine g so that 10/21*g - 4/21 - 8/21*g**2 + 2/21*g**l = 0.
1, 2
Let 