t**5/4 - 1075*t**4/12 + 60*t**3 + 316*t. Suppose p(l) = 0. Calculate l.
-72, 0, 1
Let z(n) be the first derivative of -n**5/20 + 5*n**4/16 + n**3/12 - 5*n**2/8 + 1766. Let z(m) = 0. What is m?
-1, 0, 1, 5
Factor 257/2*f**3 - 128*f**2 - 1/2*f**4 + 0 + 0*f.
-f**2*(f - 256)*(f - 1)/2
Suppose 15 = -2*r + 23. Determine q, given that 21*q**2 - 24*q**3 - 21*q**r + 6*q**3 + 48*q**5 + 6*q - 36*q**5 = 0.
-1, -1/4, 0, 1, 2
Let y(t) be the second derivative of -t**6/300 + t**5/50 + 147*t**2/2 + 56*t. Let f(n) be the first derivative of y(n). Find k such that f(k) = 0.
0, 3
Suppose 112/5*p**2 - 1/5*p**3 + 227/5*p + 114/5 = 0. What is p?
-1, 114
Let a(i) = i**2 - 1. Let y(m) = 8*m**2 + 2*m - 3. Suppose -2 = 3*d - c + 3, 5*c = -5*d - 15. Let b(p) = d*y(p) + 22*a(p). Factor b(n).
2*(n - 2)*(3*n + 4)
Factor -28/5*f**3 - 24*f**2 - 144/5*f - 2/5*f**4 + 0.
-2*f*(f + 2)*(f + 6)**2/5
Find h such that 0 + 143/2*h**3 - 218*h**2 + 146*h + 1/2*h**4 = 0.
-146, 0, 1, 2
What is g in -1100/3*g**2 + 2/9*g**3 + 605000/3*g - 332750000/9 = 0?
550
Let j be ((-24)/15)/(19/95) - (-40)/4. Let h(n) be the first derivative of 0*n**j - 9*n + 1/3*n**3 + 28. Factor h(u).
(u - 3)*(u + 3)
Let p(m) be the third derivative of 7*m**5/330 - 559*m**4/66 - 320*m**3/33 + 1016*m**2 + m. Suppose p(h) = 0. What is h?
-2/7, 160
Let w(b) be the first derivative of 4*b**5 - 458*b**4 + 41584*b**3/3 + 8464*b**2 + 1991. Factor w(t).
4*t*(t - 46)**2*(5*t + 2)
Let i(l) be the third derivative of 0*l - 1/504*l**8 + 0*l**3 + 1/315*l**7 - 1/6*l**4 + 0 + 7/180*l**6 - 1/90*l**5 - 37*l**2. Determine s so that i(s) = 0.
-2, -1, 0, 1, 3
Suppose 454*i + 243*i = 0. Let o(c) be the second derivative of 0*c**2 - 38*c - 1/170*c**5 + 1/357*c**7 + 1/102*c**4 + 0 + i*c**3 - 1/255*c**6. Factor o(k).
2*k**2*(k - 1)**2*(k + 1)/17
Let k = -164 + 175. Factor -i + 3*i**5 - 4*i**2 - 13*i**3 + k*i**3 + 6*i**4 - 4*i**4 + 2*i**4.
i*(i - 1)*(i + 1)**2*(3*i + 1)
Solve -127*l**2 + 1/2*l**5 + 109/2*l**3 + 134*l - 10*l**4 - 52 = 0 for l.
1, 2, 13
Let t(u) = 25*u**2 + 3155*u + 720. Let o(q) = -26*q**2 - 3155*q - 681. Let l(v) = 5*o(v) + 4*t(v). Let l(s) = 0. What is s?
-105, -1/6
Let x be -3 + (-603)/36 + 20. Let y(s) be the first derivative of x*s**2 - 11 - 1/3*s - 1/18*s**3. Solve y(z) = 0.
1, 2
Let d(a) be the third derivative of -7*a**5/30 + 31*a**4/8 - 1250*a**2. Determine j, given that d(j) = 0.
0, 93/14
Suppose 4 = -2*o, -571 + 43 = -k - 5*o. Factor -a**3 + k*a - 8*a**2 - 259*a - 271*a + 3*a**3.
2*a*(a - 2)**2
Let f = 84 - 86. Let q(g) = -7*g - 12. Let a be q(f). Factor -5 + 3*w**4 - w**5 - w**a + 0*w**5 + 9 + w**3 - 6*w**2.
-(w - 2)**2*(w - 1)*(w + 1)**2
Let i(c) be the first derivative of 5*c**3/12 - 45*c**2/4 - 50*c + 2633. Suppose i(b) = 0. Calculate b.
-2, 20
Let c be 3/27 - -4 - ((-14)/3 - 16192/(-3312)). What is h in -2/9*h**2 - c + 71/9*h = 0?
1/2, 35
Let i(z) be the second derivative of 5*z**7/42 + 58*z**6 + 30275*z**5/4 - 145*z**4 - 25230*z**3 + 229*z + 4. Find k such that i(k) = 0.
-174, -1, 0, 1
Let x(w) be the second derivative of -w**5/450 + 14*w**4/45 - 784*w**3/45 - 335*w**2/2 - 52*w. Let s(c) be the first derivative of x(c). Factor s(g).
-2*(g - 28)**2/15
Let g(a) be the third derivative of a**6/210 - 5*a**5/7 + 272*a**4/7 - 2312*a**3/3 - a**2 - 242. Solve g(m) = 0.
7, 34
Let l be (-120)/(-25) - 1*(-1)/5. Suppose l*t + 4*w + 3 = 11, 0 = 3*t - 3*w + 6. Find b such that -1/7*b**2 + t - 1/7*b**3 + 0*b = 0.
-1, 0
Let d(s) be the third derivative of s**8/168 - 7*s**7/60 - s**6/240 + 83*s**5/60 - 5*s**4/2 + 2*s**2 - 173*s + 4. What is v in d(v) = 0?
-2, 0, 1, 5/4, 12
Let z(c) be the first derivative of -3*c**4/8 - 151*c**3 - 1803*c**2/4 - 450*c - 4172. Factor z(j).
-3*(j + 1)**2*(j + 300)/2
Let n(h) be the third derivative of 7/2*h**4 + 98*h**3 + 25*h**2 + 0 + 1/20*h**5 + h. Factor n(f).
3*(f + 14)**2
Let j(a) = 2*a**3 + a**2 + 4*a + 3. Let u be j(-1). Let p(s) = -7*s - 9. Let b be p(u). Solve -9*y**3 - 6*y**2 - 5*y**3 - b*y**3 + 21*y**3 = 0.
0, 3
Let n(y) = 3 - y**4 + 1 + 11*y**3 + 1 + 16*y**2. Let t(z) = -z**4 - 17 + 9 + 5*z**3 + 11 + 8*z**2. Let d(p) = 3*n(p) - 5*t(p). Solve d(i) = 0 for i.
-2, 0
Let n(w) be the first derivative of -215*w**6/6 + 133*w**5 - 705*w**4/4 + 275*w**3/3 - 10*w**2 + 6670. Factor n(f).
-5*f*(f - 1)**3*(43*f - 4)
Suppose 48*n = -5 + 88 + 109. Let c(g) be the second derivative of 0 - 9*g + 0*g**3 - 1/18*g**n + 0*g**2 + 1/30*g**5. Factor c(j).
2*j**2*(j - 1)/3
Let b = 344233/168 + -2049. Let a = 677/840 - b. Factor 5 - 4*h + a*h**2.
(2*h - 5)**2/5
Factor 48 - 45/2*b**2 - 27*b + 3/2*b**3.
3*(b - 16)*(b - 1)*(b + 2)/2
Let l(h) be the second derivative of -1/30*h**6 + 162 + h + 0*h**3 + 1/18*h**4 + 1/60*h**5 + 0*h**2. Suppose l(b) = 0. Calculate b.
-2/3, 0, 1
Let q(m) be the first derivative of 3/5*m**2 - 9/5*m**4 + 0*m - 21/25*m**5 - 90 - 3/5*m**3. Determine f, given that q(f) = 0.
-1, 0, 2/7
Let d(u) be the second derivative of -u - 1/36*u**4 - 1/180*u**5 + 0 + 0*u**3 + 4*u**2 + 1/120*u**6. Let j(z) be the first derivative of d(z). Factor j(c).
c*(c - 1)*(3*c + 2)/3
Let a(r) be the first derivative of 2*r**5/45 - 2*r**4/3 - 28*r**3/9 - 44*r**2/9 - 10*r/3 + 3966. Factor a(l).
2*(l - 15)*(l + 1)**3/9
Factor 5*u + 9*u + 51*u - 50 - 8*u**2 + 14*u**2 + 9*u**2.
5*(u + 5)*(3*u - 2)
Suppose -873*i + 867*i + 18 = 0. Factor -d**i - 175 + 173 - d**2 - 2*d**2 + 0*d**2 - 5*d - d**2.
-(d + 1)**2*(d + 2)
Determine y so that 32*y**3 + 33*y**2 + 34 + 8*y**2 - 9 + 55*y - 27*y**3 - 6*y**2 = 0.
-5, -1
Let k be 12/((-42)/(-24) - 1/4). Determine q so that 4*q**2 - 144 - 8*q**3 + 69 + k*q + 71 = 0.
-1, 1/2, 1
Let g(i) be the second derivative of 2*i**7/105 - 7*i**6/50 - 3*i**5/10 + 11*i**4/12 + 16*i**3/5 + 18*i**2/5 - 5013*i. Let g(y) = 0. Calculate y.
-1, -3/4, 2, 6
Factor -28*h**2 + 96*h**2 - 10*h - 29*h**2 + 16 - 10*h - 35*h**2.
4*(h - 4)*(h - 1)
Suppose -3708*t + 3818*t - 150 = -177 + 577. Factor t*z + 25/3*z**2 - 5/3*z**4 + 5/3*z**3 + 0.
-5*z*(z - 3)*(z + 1)**2/3
Solve 100/3*n**2 + 2/3*n**3 + 0 - 550/3*n = 0.
-55, 0, 5
Let m(r) = 2*r**3 - r**2. Let k(g) = 5*g**3 - 12*g**2 + 9*g. Let f(a) = -k(a) + 2*m(a). Factor f(d).
-d*(d - 9)*(d - 1)
Suppose -4*z + 36 = -3*x, 68*x - 65*x = -36. Suppose z - 2/11*v**3 - 26/11*v**2 - 24/11*v = 0. Calculate v.
-12, -1, 0
Let r(v) be the third derivative of v**5/150 - 2*v**4/15 - 28*v**3/5 - v**2 - 20*v + 37. Determine i so that r(i) = 0.
-6, 14
Let j(n) = n**4 + 11*n**3 + 34*n**2 + 28*n + 32. Let l(r) = -r**4 - 11*r**3 - 35*r**2 - 34*r - 30. Let k(p) = 3*j(p) + 4*l(p). Factor k(v).
-(v + 1)*(v + 2)**2*(v + 6)
Let f(c) = -55 + 27*c + 76 + 0*c**3 + 2*c**3 + 17*c**2. Let s(u) = -u**2 + u - 1. Let p(g) = f(g) + 3*s(g). Let p(y) = 0. What is y?
-3, -1
Let -1538258/5 - 2/5*s**2 + 3508/5*s = 0. Calculate s.
877
Suppose 7*t = -52 - 116. Let n = t - -26. Factor 10 + 7*b**2 - 67*b**2 - 45*b**4 - 52*b**2 - 125*b**3 - 15*b + 7*b**n.
-5*(b + 1)**3*(9*b - 2)
Determine r, given that -8/3 - 1/3*r**2 + 2*r = 0.
2, 4
Let j(o) be the first derivative of -19*o - 7/2*o**4 - 80/3*o**3 - 13 - 85/2*o**2. Let c(p) = -p**3 - 1. Let u(b) = c(b) + j(b). Factor u(x).
-5*(x + 1)*(x + 4)*(3*x + 1)
Let j be (-23 + 15)*2/4. Let z be (-4)/(-22) - ((-39)/(-33) + j). Factor 351*o**2 + 194*o - 413*o**3 + 12 - 94*o**z - 50*o.
-3*(o - 1)*(13*o + 2)**2
Let c be (-21)/9 + 2 + 126/54. Let j(o) be the first derivative of 3 - 1/10*o**4 + 2/15*o**3 + 2/5*o**c + 0*o. Factor j(k).
-2*k*(k - 2)*(k + 1)/5
Let v be (2/(30/761))/(245/(-490)). Let x = -504/5 - v. Factor 0*a**2 + 2*a - x*a**3 - 4/3.
-2*(a - 1)**2*(a + 2)/3
Let l(g) be the third derivative of -g**5/300 - 14*g**4/5 - 4704*g**3/5 - g**2 + 95. Suppose l(x) = 0. What is x?
-168
Let d(x) = -7*x**2 + 224*x - 1090. Let w be d(26). Factor 8*l - 2/7*l**w - 56.
-2*(l - 14)**2/7
Let d be (9/72*2)/(-1*4/(-64)). Let o(f) be the second derivative of 0 - 1/36*f**d - f**2 - 5/18*f**3 - 14*f. Factor o(p).
-(p + 2)*(p + 3)/3
Let k(b) be the third derivative of -1/10*b**6 + 0*b**5 - 4*b**2 + 0*b**3 - 3*b + 2/3*b**4 + 2/105*b**7 + 0. Let k(q) = 0. Calculate q.
-1, 0, 2
Let s be 18/(-12) + (-16599)/(-6) - -2. Let -j**2 + 2652 + 465*j - s - 19*j**2 = 0. Calculate j.
1/4, 23
Let f = 87 - 83. Let d(b) = 10*b**3 + 14*b**2 - 23*b + 13. Let r(k) = -5*k**3 - 8*k**2 + 11*k - 6. Let m(z) = f