t - k**3 - k**2 - 17*k**2 + 17*k - k**3 - 32*k + 36 = 0. Calculate k.
-4, -3, 1
Let r(y) be the second derivative of -1/20*y**5 + 1/12*y**3 + 0 - 1/12*y**4 + 1/84*y**7 + 1/4*y**2 + 1/60*y**6 - 21*y. Factor r(h).
(h - 1)**2*(h + 1)**3/2
Let v(m) be the second derivative of 64*m**6/105 + 72*m**5/5 + 3841*m**4/42 - 48*m**3 + 64*m**2/7 - 1146*m. Factor v(s).
2*(s + 8)**2*(8*s - 1)**2/7
Let r(m) = -37*m**2 - 7423*m + 2994. Let q(d) = -12*d**2 - 2475*d + 999. Let v(x) = -8*q(x) + 3*r(x). Solve v(g) = 0.
-165, 2/5
Let g = -648 - -653. Suppose 0 = -g*d - 12*d + 34. Determine p so that 2/5*p**3 - d*p**2 + 16/5*p - 8/5 = 0.
1, 2
Factor 654*k + 2*k**2 + 49373 - 13730 + k**2.
3*(k + 109)**2
Determine w so that 56 + 2285*w**2 + 65*w + 153 - 2289*w**2 = 0.
-11/4, 19
Let d(a) = 224*a + 18144. Let l be d(-81). Factor l*w - 2/13*w**3 - 20/13*w**2 + 0.
-2*w**2*(w + 10)/13
Let m be -5 + (-26)/260*-190. Let w(l) be the first derivative of 9/5*l - 4/5*l**2 - m - 1/15*l**3. Suppose w(a) = 0. What is a?
-9, 1
Suppose 5*m = -257 - 23. Let u = 60 + m. Let -u*x**5 + 936*x - 936*x = 0. What is x?
0
Let v be (-4)/(-2) - 2/3*3. Suppose 0 = 2*o + r - 13, 2*o + 4*r + v = -2. Suppose -o + 12*z - 19*z**2 - 18*z**2 + 51*z**2 - 17*z**2 = 0. Calculate z.
1, 3
Suppose q - 10 = -3*n, 420*n + q = 414*n + 16. What is f in -5/2*f**n - 85*f - 1445/2 = 0?
-17
Suppose 21*b - 22*b = -k - 7, -2*b + 4*k + 24 = 0. Let n(y) be the first derivative of 14 - 2/35*y**5 + 0*y + 2/7*y**b + 2/7*y**4 - 10/21*y**3. Factor n(x).
-2*x*(x - 2)*(x - 1)**2/7
Let q be ((-4)/(-14))/(660/140). Let p(i) be the first derivative of -4/11*i**2 + 34 + 0*i - q*i**3. Factor p(z).
-2*z*(z + 4)/11
Suppose -10*h = 127 + 43. Let q = 25 + h. Let -136 - q*n + 266 - n**2 - n**2 - 136 = 0. What is n?
-3, -1
Determine o, given that 30/13 - 30/13*o**2 - 2/13*o + 2/13*o**3 = 0.
-1, 1, 15
Let d(j) be the first derivative of 5*j**6/14 - 384*j**5/35 + 3039*j**4/28 - 2994*j**3/7 + 3618*j**2/7 + 648*j - 6328. Find m, given that d(m) = 0.
-2/5, 3, 6, 14
Let g be (-12 + (-2794)/(-231))/((-24)/(-7)). Let f(b) be the third derivative of 0*b - 1/540*b**6 + 1/90*b**5 + 0 + 1/27*b**3 - g*b**4 + 3*b**2. Factor f(w).
-2*(w - 1)**3/9
Let s(c) be the first derivative of 8*c**6/195 + 3*c**5/26 + c**4/13 - c**3/39 + 316*c + 266. Let h(k) be the first derivative of s(k). Solve h(v) = 0 for v.
-1, 0, 1/8
Suppose 24893*w = 22457*w + 9744. Factor 6 + 2/3*z**2 + w*z.
2*(z + 3)**2/3
Let w(t) be the first derivative of -t**4/2 - 10*t**3/3 - 2*t**2 + 16*t + 1717. Factor w(n).
-2*(n - 1)*(n + 2)*(n + 4)
Let h(t) be the third derivative of -t**5/420 - 327*t**4/28 - 320787*t**3/14 - 3329*t**2. Find y such that h(y) = 0.
-981
Suppose -20 + 0 = -10*f. Let -767*b**f + 869*b**2 + 18 - 51*b**3 + 6 - 84*b + 9*b**4 = 0. Calculate b.
2/3, 1, 2
Let o(r) = -r**2 + 6*r - 3. Let h = -44 - -49. Let d be o(h). Suppose 7*t - 3*t**4 + 5*t**2 - 5*t**3 - 2*t**4 - d*t + 0*t**4 = 0. What is t?
-1, 0, 1
Suppose -5*z + 95 = -265. Let y = z - 70. What is c in -y*c + 17*c**3 + 8*c**3 - 2*c**4 - c**2 - 20*c**3 = 0?
-1/2, 0, 1, 2
Let w = 43 - -2. Solve -5 - 3 - 13 - 20*n - 4*n**2 + w = 0.
-6, 1
Let n(m) be the first derivative of -5/3*m**4 + 2/3*m - 5/3*m**2 + 20/9*m**3 + 2/3*m**5 + 114 - 1/9*m**6. Factor n(r).
-2*(r - 1)**5/3
Let x be 5*(-13)/65 - (-52)/24. Let l(p) be the second derivative of 3/2*p**2 + 1/20*p**5 + x*p**3 + 0 + 5/12*p**4 - 13*p. Determine z so that l(z) = 0.
-3, -1
Let q(r) be the third derivative of 5/14*r**4 + 0 + 25/7*r**3 + 1/70*r**5 + 0*r + 50*r**2. Suppose q(k) = 0. Calculate k.
-5
Let n(g) be the third derivative of 0*g**3 - 1/78*g**4 - 13*g**2 - 1/130*g**5 + 2 - 1/780*g**6 + 0*g. Solve n(t) = 0 for t.
-2, -1, 0
Let u(q) be the third derivative of 0*q - 1/70*q**7 + 3/20*q**4 - 74*q**2 - 3/50*q**6 + 11/100*q**5 + 0*q**3 + 0. Determine p, given that u(p) = 0.
-3, -2/5, 0, 1
Let s(b) be the third derivative of -b**6/72 - 53*b**5/36 + 35*b**4/3 - 104*b**2 - 20*b. Let s(r) = 0. What is r?
-56, 0, 3
Find h such that 0 - 13/3*h**4 + 13/3*h**2 - 1/6*h**5 + 1/6*h**3 + 0*h = 0.
-26, -1, 0, 1
Factor -27*p - 23*p + 61 + 24 - 21*p + 5*p**2 - 19*p.
5*(p - 17)*(p - 1)
Let i(s) be the second derivative of -s**7/63 + 34*s**6/45 - 14*s**5/5 - 137*s**4/9 - 155*s**3/9 + 936*s - 1. Determine t, given that i(t) = 0.
-1, 0, 5, 31
Let h(d) be the second derivative of 79/9*d**3 - 19/9*d**4 + 0 - 1/30*d**5 - 40/3*d**2 + 192*d. Find v such that h(v) = 0.
-40, 1
Let a(k) be the second derivative of -k**4/48 + 35*k**3/12 - 17*k**2 + 1005*k. Let a(z) = 0. What is z?
2, 68
Let a(n) be the third derivative of -2*n**2 - 1/20*n**6 - 1/525*n**7 - 1/2*n**5 - 25/12*n**4 - 18 + 0*n**3 + 0*n. Factor a(t).
-2*t*(t + 5)**3/5
Let q(d) = -3*d**2 - 235*d + 169. Let o be q(-79). Let h(l) be the third derivative of 0 - o*l**2 - 1/300*l**5 - l + 0*l**3 + 1/60*l**4. Factor h(i).
-i*(i - 2)/5
Let s(m) = 66*m**4 + 2286*m**3 + 15345*m**2 + 18. Let b(a) = -19*a**4 - 653*a**3 - 4384*a**2 - 5. Let n(y) = -18*b(y) - 5*s(y). Factor n(i).
3*i**2*(2*i + 27)**2
Let z(s) be the first derivative of s**6/3240 + s**5/540 + s**4/216 + 74*s**3/3 + 34. Let c(p) be the third derivative of z(p). What is d in c(d) = 0?
-1
Suppose 5*w - 50 = -20*w. Factor 2*h**w + 2612 - 2613 + h - h - h**4.
-(h - 1)**2*(h + 1)**2
Let k = -29594 + 29594. Let z(l) be the third derivative of 1/60*l**6 - 12*l**2 + 2/15*l**5 + 0*l + 0*l**3 + k*l**4 + 0. Factor z(c).
2*c**2*(c + 4)
Let c(m) be the second derivative of m**5/4 + 75*m**4/2 - 310*m**3 + 940*m**2 + 2576*m. Factor c(a).
5*(a - 2)**2*(a + 94)
Suppose -10*f + 33 + 7 = 0. Factor 2*h**4 + 11*h**4 - 1097440*h + 43320*h**2 - 21*h**f - 760*h**3 + 10425680 + 13*h**4.
5*(h - 38)**4
Let n(v) be the third derivative of v**5/20 + 39*v**4 + 12168*v**3 + 777*v**2. Let n(w) = 0. What is w?
-156
Let f(y) be the second derivative of 5/399*y**7 - 3/190*y**5 - 2/57*y**3 - 7/285*y**6 + 0*y**2 + y - 20 + 7/114*y**4. Determine l so that f(l) = 0.
-1, 0, 2/5, 1
Let b(u) = u + 18. Let x be b(-16). Suppose 31 = 4*f - 3*d, 4*f - 12 = d + 9. Suppose -5*h + f*h**2 - 2*h - h**x + h = 0. What is h?
0, 2
Let n(m) = -6*m**2 + 3*m - 2. Let k(t) = 43*t**2 - 56*t + 48. Let x(v) = -2*k(v) - 14*n(v). Factor x(w).
-2*(w - 34)*(w - 1)
Suppose -3*f - 7 = -f + 3*j, 1 = -3*f + 5*j. Let w be (448/(-16))/(f/14). Solve 184*l**2 + 9*l**5 + 21*l**3 - 12*l + 31*l**4 - w*l**2 - l**4 = 0 for l.
-2, -1, 0, 2/3
Let y(b) be the second derivative of b**7/6300 - b**5/225 + 4*b**3/3 + 5*b**2/2 - 8*b - 3. Let a(r) be the second derivative of y(r). Factor a(u).
2*u*(u - 2)*(u + 2)/15
Let b(x) be the first derivative of 3*x**2 + 0*x**4 - 3*x**3 - 45 + 3/5*x**5 + 0*x. Factor b(o).
3*o*(o - 1)**2*(o + 2)
Let m(j) be the first derivative of -j**4/20 - 9*j**3/5 + 61*j**2/10 + 87*j/5 + 1819. Factor m(a).
-(a - 3)*(a + 1)*(a + 29)/5
Determine j, given that 3/2*j**3 - 3/4*j**4 - 3 + 9/4*j**2 - 3*j = 0.
-1, 2
Let j(z) be the first derivative of 3*z**6/5 - 28*z**5/5 - 161*z**4/5 + 8*z**3/15 + 313*z**2/5 + 132*z/5 - 98. Solve j(n) = 0.
-3, -1, -2/9, 1, 11
Let w(k) be the first derivative of -k**5/20 + 11*k**4/16 - 5*k**3/4 - 99*k**2/8 + 54*k - 184. Factor w(x).
-(x - 8)*(x - 3)**2*(x + 3)/4
Let q(k) be the third derivative of -k**5/210 + 751*k**4/84 + 752*k**3/21 + 6790*k**2. Factor q(y).
-2*(y - 752)*(y + 1)/7
Let p = 8851129/15 - 590075. Let 0*b**4 + 2/15*b**5 + 2/15*b - p*b**3 + 0*b**2 + 0 = 0. What is b?
-1, 0, 1
Let k(x) = 8*x**2 - 14*x + 3. Let v(f) = 4*f**2 - 7*f + 1. Let g(a) = -8*a**2 + 5*a - 4. Let y be g(1). Let m(w) = y*v(w) + 3*k(w). Suppose m(z) = 0. What is z?
-1/4, 2
Let p(g) = 3*g - 1. Let u(m) = -49*m**2 - 6696*m - 230408. Let k(z) = 8*p(z) - u(z). Suppose k(j) = 0. What is j?
-480/7
Let t(y) be the first derivative of -y**7/168 + 7*y**5/24 + 5*y**4/4 - 56*y**3/3 + 15. Let a(j) be the third derivative of t(j). Let a(d) = 0. Calculate d.
-2, -1, 3
Let t(h) be the first derivative of -h**4/14 + 4*h**3/3 - 41*h**2/7 - 16*h + 10495. Factor t(a).
-2*(a - 8)*(a - 7)*(a + 1)/7
Factor 40/17*m + 2/17*m**2 + 38/17.
2*(m + 1)*(m + 19)/17
Let i(d) be the third derivative of -d**8/5880 - d**7/420 - d**6/126 - 39*d**3/2 - 115*d**2. Let m(l) be the first derivative of i(l). Factor m(x).
-2*x**2*(x + 2)*(x + 5)/7
Let h(y) be the third derivativ