Solve r(t) = 0.
-20, -1, 0, 1
Let t(i) be the first derivative of -i**5/480 + i**4/12 - 4*i**3/3 - i**2 + 20*i - 14. Let k(a) be the second derivative of t(a). Let k(f) = 0. Calculate f.
8
Suppose 3*u + 8*u**2 - 7*u**3 - 4*u**4 + 3 + 8*u**3 - 7 + 4*u**5 + u - 9*u**3 = 0. What is u?
-1, 1
Let l be 36/(-24)*((-8)/6 - 0). Let b be ((0 + 0 + 1)*4)/l. Factor -2 + 4/3*h**b + 2/3*h**4 + 8/3*h - 8/3*h**3.
2*(h - 3)*(h - 1)**2*(h + 1)/3
Let z = -33820 - -33825. Let d(y) be the first derivative of 8/3*y**3 - 4*y**2 + 0*y - 8 + 4/5*y**z + 7/2*y**4. Solve d(v) = 0 for v.
-2, 0, 1/2
Let m(i) = i**3 + 28*i**2 + 187*i + 152. Let h(l) = l**3 + 28*l**2 + 188*l + 152. Let b(x) = 8*h(x) - 9*m(x). Suppose b(a) = 0. What is a?
-19, -8, -1
Let g(x) be the third derivative of 0 - 1/8*x**3 - 1/16*x**4 + 0*x - 1/80*x**5 + 12*x**2. Determine l so that g(l) = 0.
-1
Let t(p) be the second derivative of -p**4/6 - 19*p**3/3 - 538*p. Suppose t(z) = 0. What is z?
-19, 0
Determine c so that -3/10*c**3 + 0 - 133/10*c**2 + 9*c = 0.
-45, 0, 2/3
Let j be (-6)/(-39) - (-168)/32*12/351. Let 0 - 1/3*y - j*y**4 + 1/3*y**2 + 1/3*y**3 = 0. Calculate y.
-1, 0, 1
Let x(q) = 144*q**3 - q**2 - 2*q. Let n be x(2). Let -n - 5*p - 5*p**2 + 1144 = 0. What is p?
-1, 0
Suppose -1612*h**3 + 18820*h**2 + 480*h**4 + 75435*h - 227*h**5 + 222*h**5 + 44180 - 10338*h**3 = 0. Calculate h.
-1, 4, 47
Let w(u) be the second derivative of -u**5/150 + u**3/15 - 2*u**2/15 - 83*u. Solve w(c) = 0.
-2, 1
Factor 204 - 138640*f + 138909*f - 10*f**2 + 74*f**2 - f**3.
-(f - 68)*(f + 1)*(f + 3)
Let m be (-18)/(-810)*-117*14/((-504)/135). Factor m*f + 45/2 - 3/4*f**2.
-3*(f - 15)*(f + 2)/4
Let x(m) be the second derivative of 9*m**2 + 28/3*m**3 + 7/2*m**4 - 20 - m + 1/5*m**5. Determine l, given that x(l) = 0.
-9, -1, -1/2
Let c(i) be the second derivative of -7/5*i**5 - 2/5*i**6 - 59*i - 4/3*i**4 + 0*i**3 + 0*i**2 + 0. Factor c(z).
-4*z**2*(z + 1)*(3*z + 4)
Suppose -4*i - 6 = 4*n - 10, 1 = -2*n + i. Let b be -3 + -2 - 91/(-13). Factor 0*c**b + 4/7*c**4 + 0 + 8/7*c**3 + n*c.
4*c**3*(c + 2)/7
Factor 215/2*y - 25/4*y**2 - 85/4.
-5*(y - 17)*(5*y - 1)/4
Let q(u) be the third derivative of u**8/168 + 4*u**7/21 - 11*u**6/15 + u**5/15 + 43*u**4/12 - 22*u**3/3 + 772*u**2 + u. Factor q(i).
2*(i - 1)**3*(i + 1)*(i + 22)
Let h(n) = n + 2. Let w be (1/(-3) - 0)*-9. Let d be h(w). Let 0*g + 11 - 21 + 4*g + g + d*g**2 = 0. Calculate g.
-2, 1
Suppose -8*a = -14*a + 18. Suppose a*z - 12 = 15. Factor -18*l**3 - 12*l**4 - 3*l**5 + l**2 + 3*l**3 - z*l**2 + 2*l**2.
-3*l**2*(l + 1)**2*(l + 2)
Let f(g) be the first derivative of -g**5/5 + 7*g**4/4 + 31*g**3/3 - 7*g**2/2 - 30*g + 3060. Let f(m) = 0. Calculate m.
-3, -1, 1, 10
Suppose 236*g = 630*g - 11820. Let y(s) be the first derivative of -2/5*s**3 + 18/5*s**2 - g - 48/5*s. Solve y(x) = 0 for x.
2, 4
Let m be ((-9)/42)/(23/6900*-45). Solve m*l**3 - 10/7*l**2 - 4/7*l**5 + 10/7*l**4 - 6/7*l + 0 = 0.
-1, -1/2, 0, 1, 3
Let p(w) = -w**2 - 16*w - 7. Let q be 2 + ((-1)/(-2))/((-2)/68). Let i be p(q). Factor -2*o**2 + o + o - i + o + 5*o.
-2*(o - 2)**2
Let 164/3*d - 164/3*d**3 - 53/3*d**2 - 1/2*d**4 + 109/6 = 0. Calculate d.
-109, -1, -1/3, 1
Let m(w) = w + 5. Let b be m(3). Let f = 289 + -287. Find p such that 15*p**3 + b - 19*p**3 + 4*p - p**f + 4*p**4 - 11*p**2 = 0.
-1, 1, 2
Let v be 3 - -1 - (65013/(-1524))/(-13). Let j = 4/127 + v. Let j*z - 1/2 + 0*z**2 - 1/4*z**3 = 0. What is z?
-2, 1
Let m(b) = -4*b**2 - 16*b + 20. Let v(p) = -4*p**2 - 16*p + 20. Let u = -4 + 34. Suppose 15*o = 20*o + u. Let d(n) = o*v(n) + 5*m(n). Factor d(t).
4*(t - 1)*(t + 5)
Let c(i) = i**3 - 10*i**2 + 4*i - 26. Let p be c(7). Let y = p + 268. Find b such that -y*b**2 + 65*b**2 + 59*b**2 + 2*b = 0.
-2, 0
Let q(f) be the first derivative of -3*f**5/25 + 39*f**4/10 - 193*f**3/5 + 18*f**2 + 1620*f - 9544. Find z, given that q(z) = 0.
-3, 9, 10
Find h such that 15136*h - 80*h**2 + 22*h**3 + 11*h**3 - 356*h**2 - 113929 - 48695 - 29*h**3 = 0.
21, 44
Let c(q) = -q**2 - 12*q + 22. Suppose -31 = 5*d + 2*b, -4*d + 107 = -5*b + 112. Let f(r) = -2*r**2 - 26*r + 43. Let p(j) = d*c(j) + 3*f(j). Factor p(h).
-(h - 1)*(h + 19)
Let i be (((-833)/(-21))/7)/((-7)/(-63)). Let o be (i/78 + 22/(-143))/1. Let 1/2*w**3 + w**2 - 1/4*w**5 - 1/2*w**4 - 1/4*w - o = 0. What is w?
-2, -1, 1
Determine x so that 1238833224/19*x + 3460428/19*x**2 + 4296/19*x**3 + 2/19*x**4 + 166313360322/19 = 0.
-537
Suppose 19*v**4 - 68*v**5 + 67*v**5 + 14*v**2 + 2*v**3 - 3*v**4 - 31*v**3 = 0. What is v?
0, 1, 14
Find m, given that 140*m**3 + 48 + 5*m**4 - 6 + 798 + 1810*m - 1893*m**2 + 2998*m**2 = 0.
-14, -12, -1
Let 2463*n**4 + 915*n**5 - 943*n**5 - 3208*n**3 - 360*n + 10886*n**3 - 364 + 5191*n**2 = 0. What is n?
-2, -1, -2/7, 1/4, 91
Factor 0 + 52/7*y**3 - 748/7*y**2 + 40*y.
4*y*(y - 14)*(13*y - 5)/7
Suppose -341*a = 357*a - 705*a + 14. Suppose -3/4*n**4 + 9/2*n**3 - 9/4*n**5 - 9/4*n - 3/4 + 3/2*n**a = 0. Calculate n.
-1, -1/3, 1
Let p be (-8 - (-344)/40)/((-41)/(-205)). Factor 25/3*v**p + 3*v**4 + 9*v**2 + 10/3*v + 0 + 1/3*v**5.
v*(v + 1)**2*(v + 2)*(v + 5)/3
Let z be -1*((-153)/34*2 - (-1 - 6)). Factor 2 - 3/2*q + q**3 + 3/4*q**4 - 9/4*q**z.
(q - 1)**2*(q + 2)*(3*q + 4)/4
Let b be 4 + (237376/(-13046))/4. Let f = -2/593 - b. Factor 2/11*o**3 - f*o + 4/11 + 0*o**2.
2*(o - 1)**2*(o + 2)/11
Let q(w) be the second derivative of -2/7*w**4 + 0*w**2 + 0*w**3 + 3/70*w**5 + 0 + 1/70*w**6 - 180*w. Factor q(z).
3*z**2*(z - 2)*(z + 4)/7
Let c be (30/80)/(-4 + 351/72). Factor c*z**2 + 24/7 + 27/7*z.
3*(z + 1)*(z + 8)/7
Let x(n) be the first derivative of 144/5*n**2 + 56 - 128/5*n - 2/25*n**5 - 194/15*n**3 + 9/5*n**4. Factor x(r).
-2*(r - 8)**2*(r - 1)**2/5
Let a(l) be the first derivative of 3*l**4/32 - 5*l**3/4 - 39*l**2/16 + 33*l/4 - 1611. Determine p, given that a(p) = 0.
-2, 1, 11
Suppose -5*y = 3*o - 30, 3*y - y - 21 = -3*o. Let z = -2/281591 - -14079564/1971137. Factor -38/7*k**3 - 2/7*k**o - z*k**2 - 8/7 - 32/7*k - 2*k**4.
-2*(k + 1)**3*(k + 2)**2/7
Let i be (256/10)/((9/270)/(4/36)). Let d(j) be the first derivative of 4/9*j**3 - 32/3*j**2 + 17 + i*j. Factor d(z).
4*(z - 8)**2/3
Let t be 24/9*1*(-27)/(-18). Factor 68*u**3 + 71*u**3 + 2*u**t - 133*u**3 + 4*u**2.
2*u**2*(u + 1)*(u + 2)
Determine g so that 244*g**2 - 37*g**2 - 337*g + 0*g**4 + g**4 + 472*g - 47*g**3 - 2*g**4 - 918 = 0.
-51, -2, 3
Solve 596 - 27*n**2 - 8*n - 572 - 10*n + 15*n**3 = 0.
-1, 4/5, 2
Let w(k) = 144*k**3 + 190*k**2 - 196*k - 28. Let i(s) = 27*s**3 + 38*s**2 - 39*s - 6. Let f(p) = -11*i(p) + 2*w(p). Factor f(v).
-(v - 1)*(v + 5)*(9*v + 2)
Let h(v) be the second derivative of 1/10*v**3 - 5/8*v**4 + 2*v**2 + 0 + 10*v + 42/25*v**5 - 18/25*v**6. Let m(r) be the first derivative of h(r). Factor m(j).
-3*(j - 1)*(12*j - 1)**2/5
Let g = -10506 + 10526. Let k(s) be the first derivative of 4/5*s**5 + 7*s**4 - 6 + g*s**3 + 0*s + 18*s**2. What is d in k(d) = 0?
-3, -1, 0
Let g(r) be the third derivative of -r**6/1800 + r**5/60 - 57*r**3/2 + 141*r**2. Let k(l) be the first derivative of g(l). Factor k(u).
-u*(u - 10)/5
Let w(q) be the first derivative of -9*q**4/4 - 47*q**3/15 - q**2/5 + 742. Factor w(s).
-s*(s + 1)*(45*s + 2)/5
Let h(p) be the first derivative of 92 + 0*p**2 - 4/15*p**3 + 0*p. Let h(o) = 0. What is o?
0
Suppose 5*b + 0 = -x + 11, -4*x + 44 = 2*b. Let u be x/(-5) + 28/12. Factor 4/15*z - u - 2/15*z**2.
-2*(z - 1)**2/15
Let y(j) be the first derivative of 0*j**3 - 3/4*j**4 + 0*j - 132 + 3/2*j**2. What is l in y(l) = 0?
-1, 0, 1
Let i(z) be the first derivative of -z**5/15 - 2*z**4/3 - 8*z**3/3 - 2*z**2 + 7*z - 1. Let f(r) be the second derivative of i(r). Suppose f(n) = 0. Calculate n.
-2
Let j = 24257/10105 - 1/2021. What is p in -8/5 - 4/5*p**2 - j*p = 0?
-2, -1
Suppose 0 = 4*z + 15 - 31. Find c, given that -18*c**4 + 5*c**2 + 9*c**5 + 57*c**z - 1996*c**3 + 1967*c**3 = 0.
-5, 0, 1/3
Let g(o) be the first derivative of -o**4/2 - 238*o**3/3 - 3712*o**2 - 20184*o + 909. Factor g(a).
-2*(a + 3)*(a + 58)**2
Let w be -1 + (4 - 17/7). Let z = -174432/7 - -24920. Find q such that -z*q**3 + 18/7*q**2 + 0 - w*q = 0.
0, 1/4, 2
Let v(q) = 81*q - 5*q**2 - 4 + 7*q**3 + 14 - 73*q. Let d(n) = -4*n**3 + 2*n**2 - 5*n - 5. Let t(r) = 10*d(r) + 6*v(r). Factor t(z).
2*(z - 5)*(z - 1)*(z + 1)
Let b be -31