ne h, given that i(h) = 0.
-2, 0
Let x be (-260)/(-22) + (-108)/(-594). Suppose -x*h + 6*h**3 - 8*h - 2*h**4 + 18*h - 6*h = 0. What is h?
-1, 0, 2
Let p be 0/((2/4)/(((-319)/110)/(-29))). Let i(o) be the first derivative of -1/2*o**4 - 5 - 2*o**3 + 6/5*o**5 + o**2 + p*o. Factor i(b).
2*b*(b - 1)*(b + 1)*(3*b - 1)
Suppose 7*f - 3*f - 205 = 5*g, 2*g = -3*f + 171. Suppose f = 91*w - 80*w. Solve -56/9*m**3 - 6 + 4*m**2 - 4/9*m**w + 12*m - 10/3*m**4 = 0 for m.
-3, 1/2, 1
Let c(s) be the second derivative of s**9/756 - s**8/210 + s**7/210 - 109*s**3/3 + 107*s - 1. Let g(r) be the second derivative of c(r). Factor g(q).
4*q**3*(q - 1)**2
Let m(f) be the first derivative of f**5/30 + 5*f**4/3 - f**3/6 - 59*f**2/6 + 40*f/3 + 2108. Solve m(t) = 0.
-40, -2, 1
Factor 1344 - 691*k - 891*k**2 + 83*k - 112*k**3 + 297*k**2 - 4*k**4 - 26*k**2.
-4*(k - 1)*(k + 4)**2*(k + 21)
Suppose 4*z = 3*h + 19, 5*h + 4 + 1 = 0. Let f be (5 + (-18)/z)*104. Solve -507 - 3*p**2 - f*p - 3*p - 23*p = 0.
-13
Let c(k) be the second derivative of 239*k**4/32 + 719*k**3/16 + 9*k**2/8 + 2*k + 450. Find i such that c(i) = 0.
-3, -2/239
Let h(k) be the first derivative of -4*k**3/21 - 20*k**2/7 - 12*k + 193. Factor h(f).
-4*(f + 3)*(f + 7)/7
Let y(t) = 50*t**3 + 6*t**2 + 5*t. Let q(w) = -99*w**3 - 12*w**2 - 9*w. Let z = -745 + 736. Let f(s) = z*y(s) - 5*q(s). Factor f(o).
3*o**2*(15*o + 2)
Suppose 2*s = -2*h + 20, 4*s + s + h = 34. Suppose -s*k = -10 - 8. Factor 307 - 1400*y - 533 + 2*y**4 - 1774 + 540*y**2 - 58*y**k.
2*(y - 10)**3*(y + 1)
Suppose -5*p = -4 - 6. Suppose 26 = f - 4*u, p*f - 2 = -2*u - 0*u. Factor -3*s**3 - 6*s**2 - 3*s**4 + f*s**2 + 0*s**4.
-3*s**3*(s + 1)
Let k(p) be the first derivative of 30 + 0*p**3 + 3/25*p**5 + 0*p**4 + 0*p + 0*p**2. Factor k(o).
3*o**4/5
Let j(a) be the first derivative of 3*a**4/4 - 5*a**3 - 42*a**2 + 96*a + 948. Factor j(n).
3*(n - 8)*(n - 1)*(n + 4)
Let u(z) be the third derivative of 0 - 5/7*z**3 + 55*z - 2*z**2 + 23/84*z**4 + 1/420*z**6 - 3/70*z**5. Suppose u(m) = 0. What is m?
1, 3, 5
Factor -96/5*w**2 - 1/5*w**3 + 97/5*w + 0.
-w*(w - 1)*(w + 97)/5
What is z in 228/5*z**3 + 256/5*z + 38/5*z**4 + 448/5*z**2 + 0 + 2/5*z**5 = 0?
-8, -2, -1, 0
Factor -2/3*m + 476/9 - 2/9*m**2.
-2*(m - 14)*(m + 17)/9
Let z = 1498 - 1490. Suppose z*c + 3*v = 5*c, 2*v = -4. Factor 2/13*q**3 + 0 + 2/13*q**c - 2/13*q - 2/13*q**4.
-2*q*(q - 1)**2*(q + 1)/13
Let 2/11*j**2 - 72/11 + 32/11*j = 0. Calculate j.
-18, 2
Let i(r) be the third derivative of -r**5/390 - r**4/13 - 20*r**3/39 - 427*r**2 + 5. Factor i(h).
-2*(h + 2)*(h + 10)/13
Let g be (-28)/(-168) + 50637/90 + -1. Let h = 565 - g. Suppose -4/5*u**5 + 4*u**2 - 16/5*u - 4/5*u**4 + 4*u**3 - h = 0. What is u?
-2, -1, 1, 2
Let d(q) be the second derivative of 96*q**3 - 162*q**2 - 46/3*q**4 + 4 - 2/15*q**6 - 16/5*q**5 + 6*q. Suppose d(r) = 0. Calculate r.
-9, 1
Find g such that 100*g - 207*g**2 + 2199*g**2 - 290088*g**4 + 289716*g**4 - 516*g - 1220*g**3 + 16*g**5 = 0.
-4, 0, 1/4, 1, 26
Let j(p) be the second derivative of p**6/100 + 3*p**5/10 - 33*p**4/20 + 17*p**3/5 - 2*p**2 + p - 11. Let x(d) be the first derivative of j(d). Factor x(b).
6*(b - 1)**2*(b + 17)/5
Solve 2/7*v**5 - 52/7*v - 3*v**4 + 50/7*v**3 + 3 + 0*v**2 = 0 for v.
-1, 1/2, 1, 3, 7
Let c(b) be the first derivative of 5*b**9/12096 + b**8/448 - b**6/72 + 59*b**3/3 + 99. Let y(z) be the third derivative of c(z). Find p, given that y(p) = 0.
-2, 0, 1
Let z(p) be the third derivative of -p**7/42 + p**6/12 + 5*p**5/4 - 58*p**2 - p + 18. Factor z(o).
-5*o**2*(o - 5)*(o + 3)
Let d(f) = -f**3 - 2*f**2 - 4*f + 4. Let k = 598 - 598. Let w be d(k). Factor 3/7*u**w - 3/7*u**2 + 0 - 3/7*u**5 + 3/7*u**3 + 0*u.
-3*u**2*(u - 1)**2*(u + 1)/7
Let c be 1/((-5)/3) + 1. Suppose 2*k = 37*f + 528, -f - 8757 = k - 8748. Factor -4/5 - 2*a - 4/5*a**2 + 8/5*a**3 + c*a**k + 8/5*a**4.
2*(a - 1)*(a + 1)**3*(a + 2)/5
Suppose 2*j = 6, 0 = 3*p - 0*j + 5*j - 9. Let f be ((-24)/14 - p) + (-3096)/(-42). Factor -62*m + f*m - 900*m**2 + 468*m - 77 + 13.
-4*(15*m - 4)**2
Let o be 35*174/882 + (-20)/(-14). Let c(s) be the first derivative of -245/3*s - 105/2*s**2 - o*s**3 - 5/12*s**4 + 4. Factor c(l).
-5*(l + 1)*(l + 7)**2/3
Let u = -1813 + 1794. Let l be (u/(-114))/(2/24). Factor 4*y**2 + l + 38/3*y.
2*(y + 3)*(6*y + 1)/3
Let u be (-114)/(-63) + 23/((-966)/(-36)). Let a(k) be the second derivative of -14*k + 34/3*k**3 + 20*k**2 + u*k**4 + 1/5*k**5 + 0. Solve a(l) = 0 for l.
-5, -2, -1
Let g(l) be the second derivative of -5 - 1/189*l**7 + 4/45*l**6 + 2*l - 22/45*l**5 + 7*l**3 + 1/3*l**4 - 30*l**2. Suppose g(j) = 0. What is j?
-2, 3, 5
Suppose 3*u + 48 = 7*u. Let x = 2323 + -2313. Suppose -u*o**2 + 15 + o**2 - x*o + 6*o**2 = 0. Calculate o.
-3, 1
Factor 6*u**2 - 53*u**3 + 417 + 3*u**2 - 1 + 51*u**3 + 176*u + u**2.
-2*(u - 13)*(u + 4)**2
Let g(w) be the third derivative of w**5/140 - 369*w**4/56 + 1107*w**2. Factor g(i).
3*i*(i - 369)/7
Let f(k) = -3*k + 62. Suppose -66 - 54 = -6*h. Let l be f(h). Factor 5*p**5 + 10*p**l - 7952*p**4 - 15*p**3 + 7952*p**4.
5*p**2*(p - 1)**2*(p + 2)
Factor 3*w**4 + 50681*w**2 - 540 + 6*w - 594*w - 50852*w**2.
3*(w - 9)*(w + 2)**2*(w + 5)
Let y(b) be the third derivative of b**8/84 - 2*b**7/7 + 31*b**6/30 + 21*b**5/5 - 16*b**4/3 - 32*b**3 + 3*b**2 + 39. Determine g so that y(g) = 0.
-1, 1, 4, 12
Suppose 5*q + 1 = 3*w - 0, -w - 2*q = -4. Let -65*p + 7*p**w + 13*p**2 + 5*p**2 + 144 - 32*p**3 - 103*p + 31*p**3 = 0. What is p?
1, 12
Let d(o) = -o**2 - 256*o - 5538. Let q be d(-24). Factor 285/2*y - 210*y**2 - 36 + 135*y**3 - q*y**4 - 3/2*y**5.
-3*(y - 1)**4*(y + 24)/2
Let u = 439548 + -439545. Factor -27/5*v**2 + 0 + 24/5*v + 3/5*v**u.
3*v*(v - 8)*(v - 1)/5
Solve 92/7*t**3 + 1376/7*t + 192/7 - 724/7*t**2 = 0 for t.
-3/23, 4
Let k(v) = -v**3 - v**2 + 4*v - 2. Let y(n) be the first derivative of n**4/2 + n**3 - 4*n**2 + 3*n - 128. Let f(x) = 10*k(x) + 4*y(x). Solve f(d) = 0 for d.
-2, 1, 2
Let n(z) = 14 - 14*z - 8*z + 16*z**2 + 14*z**3 - 13*z**3. Let l(r) = -r**2 - 2. Let u(k) = -28*l(k) - 4*n(k). Factor u(o).
-4*o*(o - 2)*(o + 11)
Let p(y) = -112*y - 7. Let x be p(-3). Let -5*n**2 + x - 117 - 98 - 94 = 0. What is n?
-2, 2
Suppose y - 5 = -5*c, 19*y = 15*y + 5*c - 80. Let x be 214/1605 + (-43)/y. Factor -6/7*z**2 + 2/7*z**x + 6/7*z - 2/7.
2*(z - 1)**3/7
Let o(d) be the second derivative of 125*d**4/7 + 746*d**3/21 - 4*d**2/7 - 1570*d. Factor o(w).
4*(w + 1)*(375*w - 2)/7
Let y = 9123/4 - 2224. Let g = -217/4 + y. Solve 9/2*q**2 - 1 - g*q**3 - 7/2*q**4 + 5/2*q = 0 for q.
-1, 2/7, 1
Factor -1/3*u**2 + 40/3 - 2*u.
-(u - 4)*(u + 10)/3
Let j(p) be the first derivative of -49 - 3/8*p**2 - 3/2*p + 1/4*p**3. Find l such that j(l) = 0.
-1, 2
Suppose 0 = n + 4*n + 4*p - 168, 5*p = 2*n - 54. Suppose 48 - 9*w**4 - 64*w - 48 + 28*w**3 + 13*w**4 + n*w**2 = 0. Calculate w.
-4, 0, 1
Let l(u) be the third derivative of -u**7/98 - 67*u**6/280 - 74*u**5/35 - 117*u**4/14 - 72*u**3/7 - 3*u**2 - 3*u. What is y in l(y) = 0?
-6, -4, -3, -2/5
Let l(a) be the second derivative of 0*a**2 - 5/3*a**3 + 0 + 1/12*a**4 + 64*a. Factor l(r).
r*(r - 10)
Let r(p) be the second derivative of p**6/40 - 39*p**5/80 + 13*p**4/8 + 13*p**3/2 - 45*p**2 + 5669*p. What is i in r(i) = 0?
-2, 2, 3, 10
Let h = 6437 + -6435. Let g(k) be the second derivative of -32*k + 0*k**h + 9/4*k**5 + 0 - 7/6*k**6 - 5/6*k**4 + 0*k**3. Factor g(o).
-5*o**2*(o - 1)*(7*o - 2)
Let g(y) be the third derivative of y**8/840 - y**7/175 - 4*y**6/75 - 2*y**5/25 - y**2 + y + 2705. Determine q so that g(q) = 0.
-2, -1, 0, 6
Let d(b) = 16*b + 25. Suppose 3*j - 56*n + 55*n = 0, 0 = -j + 3*n + 8. Let x be d(j). Determine g so that x*g**2 + 3/8*g**4 - 33/4*g + 21/8 - 15/4*g**3 = 0.
1, 7
Let k(y) = -y**2 + 10*y + 161. Let b be k(-9). Let a be (-4)/b*(5 - (-125)/(-40)). Suppose 3/2*j**2 + 0 + a*j**4 - 9/4*j**3 + 0*j = 0. Calculate j.
0, 1, 2
Let j(q) = -4*q**3 - 590*q**2 - 1180*q - 576. Let v(b) = -b**2 - 2. Let o(r) = j(r) + 6*v(r). Factor o(c).
-4*(c + 1)**2*(c + 147)
Let u(x) = 6*x**2 + 117*x + 807. Let d(f) = 5*f**2 + 116*f + 778. Let c(p) = -3*d(p) + 2*u(p). Solve c(o) = 0 for o.
-30, -8
Let u be -5 + -1 + (4 - 2) - -6. Let l(f) be the first derivative of -25/3*f**3 - 10 - 10*f - 35/2*f**u. Suppose l(i) = 0. What is i?
-1, -2/5
Suppose -