t p = 579/4 + -4029/28. Determine h so that -2/7*h**4 - 6/7*h**3 + p*h + 4/7 - 2/7*h**2 = 0.
-2, -1, 1
Let j(t) = -2*t + 78. Let g be j(39). Factor g + 30*h**3 + 24/7*h + 75/7*h**4 + 132/7*h**2.
3*h*(h + 2)*(5*h + 2)**2/7
Let q(j) = -2*j**2 - 60*j - 286. Let v be q(-24). Factor 13/2*u**v + 23/2*u**4 + 0 + 27/2*u**3 + u + 7/2*u**5.
u*(u + 1)**3*(7*u + 2)/2
Let n(t) be the third derivative of -t**7/18 - 187*t**6/72 - 101*t**5/12 - 365*t**4/72 + 125*t**3/9 + 2*t**2 + 126. Solve n(l) = 0.
-25, -1, 2/7
Suppose 4*u + 3*n - 20 = n, 4*u = 4*n + 8. What is y in 1 - 1 - 223*y**2 - 3*y**u + 226*y**2 = 0?
-1, 0, 1
Suppose 283*i - 205*i**2 + 13*i**3 - 189*i + 3 + 77 - 174*i - 58*i**3 = 0. Calculate i.
-4, -1, 4/9
Let p = 12 + -8. Let g be 1 - (-5)/15*-1. Factor 0 - 2*d**2 - 2/3*d**p + 2*d**3 + g*d.
-2*d*(d - 1)**3/3
Let p(r) = -r**3 - r**2 + r. Let y be p(-2). Factor 61*z**y + z**3 + 3*z - 58*z**2 + z - 2*z.
z*(z + 1)*(z + 2)
Let i be (-104958)/4165*4/(-7). Determine q so that -i + 16/5*q**2 - 12/5*q + 4/5*q**3 = 0.
-3, 2
Factor 2/3*b**2 + 16/3 - 4*b.
2*(b - 4)*(b - 2)/3
Let u be ((378/35)/9)/((-9)/(-40)). Find f such that 14/3*f - 2/3 - u*f**2 - 32/3*f**3 = 0.
-1, 1/4
Let y(v) = -v**3 - 4*v**2 - 2*v - 6. Let u be y(-4). Factor 77*m - 72*m - 4*m**u - 5*m**5 + 10*m**4 - 6*m**2.
-5*m*(m - 1)**3*(m + 1)
Let j = -1220 - -1220. Let s(l) be the third derivative of -2/3*l**5 - 2/21*l**7 + j*l - 2/3*l**3 + 1/3*l**6 + 0 + 5/6*l**4 + 5*l**2 + 1/84*l**8. Factor s(w).
4*(w - 1)**5
Suppose -1/2*u**5 + 1/3 + 1/2*u + 4/3*u**4 - 5/3*u**2 + 0*u**3 = 0. What is u?
-1, -1/3, 1, 2
Let j(l) be the third derivative of l**7/105 - 2*l**6/15 - 3*l**5/10 - 61*l**2. Factor j(o).
2*o**2*(o - 9)*(o + 1)
Let t(f) be the first derivative of -110/9*f**3 - 15*f + 20*f**2 - 16 + 10/3*f**4 - 1/3*f**5. Let t(w) = 0. Calculate w.
1, 3
Suppose -76*b + 80*b = 3*o, -2*o = 3*b. Let r be (3/5)/((-12)/(-15)). Let b*q + 3/4*q**5 + 0*q**2 + 0 + 0*q**4 - r*q**3 = 0. What is q?
-1, 0, 1
Let n(s) be the second derivative of s**5/140 - s**4/21 + 2*s**3/21 - 108*s. Let n(j) = 0. Calculate j.
0, 2
Suppose 88 - 344 = -16*j. Let s be (-3)/(-4) + j/(-64). Factor 0*c + s*c**2 - 3/4*c**3 - 5/4*c**4 + 0.
-c**2*(c + 1)*(5*c - 2)/4
Factor -2/9*a**2 + 40/9 + 16/9*a.
-2*(a - 10)*(a + 2)/9
Let x be 228/(-399) - (-16)/14. Factor x*j**3 - 2/7*j**4 - 2/7*j + 4/7*j**2 - 2/7*j**5 - 2/7.
-2*(j - 1)**2*(j + 1)**3/7
Let f(k) = -2*k**2 - 6*k - 19. Let x be f(-3). Let o = -245/13 - x. Factor 0 - o*c**2 + 4/13*c.
-2*c*(c - 2)/13
Let r(z) be the second derivative of -z**5/60 - 5*z**4/9 + z**3/18 + 10*z**2/3 - 267*z. Factor r(o).
-(o - 1)*(o + 1)*(o + 20)/3
Let h(p) be the first derivative of p**7/525 - 3*p**6/400 + p**5/300 - 10*p**2 + 18. Let c(n) be the second derivative of h(n). Factor c(d).
d**2*(d - 2)*(4*d - 1)/10
Let h(w) be the third derivative of -w**7/525 + w**6/50 - w**5/50 - w**4/6 + 2*w**2 + 32*w. Determine m so that h(m) = 0.
-1, 0, 2, 5
Let l(a) = -a**3 - 2*a**2 + 2. Suppose 2*j + 12 = -c, 0*j + 2*j = -5*c - 20. Let n be l(c). Solve -2/5*v**4 + 0*v + 0 - 4/5*v**3 + 0*v**n = 0 for v.
-2, 0
Let f = 19 + 9. Let t be (f/(-6) + 2)*-3. Factor -9*w**3 - 2*w**2 - 19*w**3 + t*w**4 + 34*w**3.
2*w**2*(w + 1)*(4*w - 1)
Let k(x) be the third derivative of -15/8*x**4 - 1/72*x**6 + 5/3*x**3 - 10*x**2 + 0 - 1/4*x**5 + 0*x. Let m(n) be the first derivative of k(n). Factor m(r).
-5*(r + 3)**2
Let x(k) be the third derivative of 0 + 1/630*k**7 + 0*k**3 + 1/20*k**5 + 13*k**2 + 0*k**4 + 0*k - 1/60*k**6. Factor x(u).
u**2*(u - 3)**2/3
Let t(a) be the second derivative of -a**7/56 - 3*a**6/8 - 81*a**5/80 + 243*a**4/16 - 321*a. Solve t(c) = 0.
-9, 0, 3
Let p(m) be the second derivative of -35/12*m**3 + 3/4*m**5 + 15/4*m**2 + 5/84*m**7 + 5/12*m**4 - 5/12*m**6 + 20*m + 0. Solve p(b) = 0.
-1, 1, 3
Suppose 2/7*v**5 - 10*v**4 - 2592/7*v**2 + 792/7*v**3 + 0 - 3456/7*v = 0. Calculate v.
-1, 0, 12
Let k be 3/5 - 42/(-5). Let l be k*(1 - (-8)/(-12)). Suppose -4*t**2 + 4*t**2 - 2*t**3 + 3*t**2 - t**l = 0. What is t?
0, 1
Let l be (6 - (6 + 7))*(-2)/7. Let s be (-1 - 1) + (6 - 1). Find d such that -d + d - 4*d**l + 2*d**s + 2*d = 0.
0, 1
Let k be (4/1)/(-1 - (-170)/166). Let p = k - 661/4. What is s in p*s**4 - 3/2*s**2 + 3/4 + 3/4*s - 3/2*s**3 + 3/4*s**5 = 0?
-1, 1
Suppose j - 4 = 0, 35 = z - j + 85. Let s = z - -185/4. Determine p, given that 0 - s*p - 1/4*p**2 = 0.
-1, 0
Suppose 2*n = n + 2. Suppose 4*b = n*i + 24, -b + 3*i = b - 4. Factor 4*v**2 + 8*v**2 - b - 8*v**2 + 4*v.
4*(v - 1)*(v + 2)
Suppose 4*g - 3*g - 11 = -5*p, 3*g = 3. Let j = 234 - 232. Factor -6*w**3 + w**j + 3 + 3*w**3 + 3*w - 3*w**p - w**2.
-3*(w - 1)*(w + 1)**2
Determine i, given that -77*i - 2*i**3 - 56*i**2 - 315*i - 85 + 85 = 0.
-14, 0
Determine g so that -291*g + 51*g - 567*g**2 + 562*g**2 - 2880 = 0.
-24
Let y(h) = -4*h**3 + h. Suppose -u = -3*p + 10, 3*u + 6*p - 6 = 3*p. Let k be y(u). Factor 2*j + 3*j + 2*j**k - 3*j + j**2 - 5*j**2.
2*j*(j - 1)**2
Let b(i) = i**3 - 4*i**2 - 7*i + 17. Let d be b(5). Suppose 9*p = d*p. Solve 0 + p*v**2 - 1/2*v**4 + 1/4*v**5 + 0*v + 1/4*v**3 = 0.
0, 1
Factor -14/5*a - 76/15 - 2/15*a**2.
-2*(a + 2)*(a + 19)/15
Suppose d = 2*d - 7. Let j = d + -4. Solve -m**j - 2*m + 1 - 3 - 4*m**2 - 3*m = 0.
-2, -1
Let z be (-7)/(-2)*(-3 - 225/(-63)). Let 0 + 0*d - 1/2*d**3 + 0*d**z = 0. Calculate d.
0
Let o(t) be the first derivative of 5 + 4/13*t**3 - 1/13*t**2 + 0*t. Let o(u) = 0. What is u?
0, 1/6
Factor 25*t**3 + 35*t + 92*t + 285*t**2 - 17*t.
5*t*(t + 11)*(5*t + 2)
Let t(x) be the first derivative of x**3/2 - 9*x**2/4 - 15*x - 61. Suppose t(k) = 0. Calculate k.
-2, 5
Let o = 10/47 + 98/423. Let s be -2*-2*(-2)/(-12). Let -2/9*h**5 + 2/9 + s*h - 2/3*h**4 - o*h**3 + 4/9*h**2 = 0. Calculate h.
-1, 1
Find b such that 18/5 - 2/5*b**2 + 0*b = 0.
-3, 3
Let y(x) be the third derivative of -x**8/756 + 2*x**7/135 - x**6/15 + 22*x**5/135 - 13*x**4/54 + 2*x**3/9 + 49*x**2. Factor y(f).
-4*(f - 3)*(f - 1)**4/9
Let l = -120 - -122. Let b be l/((-16)/(-18)) - (-29 - -31). Let 1/4*i + b*i**3 + 0 + 1/2*i**2 = 0. Calculate i.
-1, 0
Let f(k) be the first derivative of 2/25*k**5 + 0*k + 0*k**2 + 37 + 0*k**3 - 3/10*k**4. Suppose f(y) = 0. Calculate y.
0, 3
Let a(o) be the first derivative of 2*o**5/15 - o**4/3 + 2*o**2/3 - 2*o/3 - 190. Let a(q) = 0. Calculate q.
-1, 1
Let x(b) = -4*b**3 + 42*b**2 + 97*b + 57. Let f(l) = 2*l**3 - 2*l**2 - l + 1. Let y(i) = 3*f(i) + x(i). Determine n, given that y(n) = 0.
-15, -2, -1
Find n such that 56/3*n + 2/3*n**2 + 392/3 = 0.
-14
Let m(o) be the second derivative of -o**5/10 + 2*o**4/3 + 11*o**3/3 + 6*o**2 - 141*o + 2. Find w, given that m(w) = 0.
-1, 6
Let v(o) be the second derivative of -o**3/3 + 5*o**2/2 - 9*o. Let t be v(-5). Factor 6*f**3 + 0*f**3 + 5*f**2 + t*f**4 - 21*f**3 - 5*f**5.
-5*f**2*(f - 1)**3
Let v(c) = -2*c + 1. Let a(x) = 2*x**2 - 62*x + 51. Let y(n) = 2*a(n) - 18*v(n). Determine t, given that y(t) = 0.
1, 21
Let q(w) be the first derivative of w**6/21 - 4*w**5/35 - 3*w**4/7 + 40*w**3/21 - 19*w**2/7 + 12*w/7 + 9. Factor q(x).
2*(x - 2)*(x - 1)**3*(x + 3)/7
Let m(a) be the third derivative of -a**8/112 + 2*a**7/35 - a**6/10 - a**5/10 + 5*a**4/8 - a**3 + 3*a**2 - 5*a. Factor m(r).
-3*(r - 2)*(r - 1)**3*(r + 1)
Let s(g) be the second derivative of -g**6/10 - 39*g**5/20 - 47*g**4/4 - 59*g**3/2 - 36*g**2 - 155*g. Factor s(r).
-3*(r + 1)**2*(r + 3)*(r + 8)
Suppose 0 = -74*n + 110*n - 72. Factor 22*o + 14/3*o**n - 242/9 + 2/9*o**3.
2*(o - 1)*(o + 11)**2/9
Let u(z) be the first derivative of -z**3/18 + 251*z**2/6 - 63001*z/6 - 1009. Factor u(x).
-(x - 251)**2/6
Suppose 5*s = -4*f + s + 452, -10 = 5*s. Solve 28*w**4 - 12*w**2 + 12*w**5 + 12*w**3 + 218*w - 111*w - f*w = 0.
-1, 0, 2/3
Let j(d) be the second derivative of d**4/36 - 31*d**3/9 + 961*d**2/6 - 75*d. Solve j(s) = 0.
31
Let g(c) be the first derivative of -18/7*c**2 + 13 - 36/7*c**3 - 3/7*c. What is w in g(w) = 0?
-1/6
Let p(y) be the third derivative of y**8/33600 + y**7/6300 - 5*y**4/8 - 7*y**2. Let j(z) be the second derivative of p(z). Factor j(m).
m**2*(m + 2)/5
Find d, given that 72/5 + 2*d**2 - 362/5*d = 0.
1/5, 36
Let x(i) be the first derivative of -i**4/4 - 2*i**3 + 5*i**2/2 - 10*i - 8. Let r be x(-7). Factor 0*j**4 + j**3 - 5*j**2 + j**4 + r*j**2 - j.
j